0.08/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.13	% Command    : run_E %s %d THM
0.13/0.34	% Computer : n025.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1440
0.13/0.34	% WCLimit    : 180
0.13/0.34	% DateTime   : Thu Jul  4 09:07:39 EDT 2024
0.13/0.35	% CPUTime    : 
0.22/0.50	Running higher-order theorem proving
0.37/0.52	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p
0.84/180.03	# Version: 3.2.0-ho
0.84/180.03	# Preprocessing class: HSLMSLSSLLLCHFA.
0.84/180.03	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.84/180.03	# Starting ehoh_best5 with 180s (1) cores
0.84/180.03	# Starting almost_fo_3_lam with 180s (1) cores
0.84/180.03	# Starting new_bool_5 with 180s (1) cores
0.84/180.03	# Starting pre_casc_3 with 180s (1) cores
0.84/180.03	# Starting ho_unfolding_8 with 180s (1) cores
0.84/180.03	# Starting new_ho_10_cnf2 with 180s (1) cores
0.84/180.03	# Starting new_bool_3 with 180s (1) cores
0.84/180.03	# Starting new_ho_5 with 180s (1) cores
0.84/180.03	# new_ho_5 with pid 13635 completed with status 0
0.84/180.03	# Result found by new_ho_5
0.84/180.03	# Preprocessing class: HSLMSLSSLLLCHFA.
0.84/180.03	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.84/180.03	# Starting ehoh_best5 with 180s (1) cores
0.84/180.03	# Starting almost_fo_3_lam with 180s (1) cores
0.84/180.03	# Starting new_bool_5 with 180s (1) cores
0.84/180.03	# Starting pre_casc_3 with 180s (1) cores
0.84/180.03	# Starting ho_unfolding_8 with 180s (1) cores
0.84/180.03	# Starting new_ho_10_cnf2 with 180s (1) cores
0.84/180.03	# Starting new_bool_3 with 180s (1) cores
0.84/180.03	# Starting new_ho_5 with 180s (1) cores
0.84/180.03	# SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true)
0.84/180.03	# Search class: HGHSM-FSLM31-SHFMMSBN
0.84/180.03	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.84/180.03	# Starting ehoh_best3 with 98s (1) cores
0.84/180.03	# ehoh_best3 with pid 13638 completed with status 0
0.84/180.03	# Result found by ehoh_best3
0.84/180.03	# Preprocessing class: HSLMSLSSLLLCHFA.
0.84/180.03	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.84/180.03	# Starting ehoh_best5 with 180s (1) cores
0.84/180.03	# Starting almost_fo_3_lam with 180s (1) cores
0.84/180.03	# Starting new_bool_5 with 180s (1) cores
0.84/180.03	# Starting pre_casc_3 with 180s (1) cores
0.84/180.03	# Starting ho_unfolding_8 with 180s (1) cores
0.84/180.03	# Starting new_ho_10_cnf2 with 180s (1) cores
0.84/180.03	# Starting new_bool_3 with 180s (1) cores
0.84/180.03	# Starting new_ho_5 with 180s (1) cores
0.84/180.03	# SinE strategy is GSinE(CountFormulas,hypos,7,,3,20000,1.0,true)
0.84/180.03	# Search class: HGHSM-FSLM31-SHFMMSBN
0.84/180.03	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.84/180.03	# Starting ehoh_best3 with 98s (1) cores
0.84/180.03	# Preprocessing time       : 0.003 s
0.84/180.03	# Presaturation interreduction done
0.84/180.03	
0.84/180.03	# Proof found!
0.84/180.03	# SZS status Theorem
0.84/180.03	# SZS output start CNFRefutation
0.84/180.03	thf(decl_22, type, in: $i > $i > $o).
0.84/180.03	thf(decl_23, type, exu: ($i > $o) > $o).
0.84/180.03	thf(decl_24, type, setextAx: $o).
0.84/180.03	thf(decl_25, type, emptyset: $i).
0.84/180.03	thf(decl_26, type, emptysetAx: $o).
0.84/180.03	thf(decl_27, type, setadjoin: $i > $i > $i).
0.84/180.03	thf(decl_28, type, setadjoinAx: $o).
0.84/180.03	thf(decl_29, type, powerset: $i > $i).
0.84/180.03	thf(decl_30, type, powersetAx: $o).
0.84/180.03	thf(decl_31, type, setunion: $i > $i).
0.84/180.03	thf(decl_32, type, setunionAx: $o).
0.84/180.03	thf(decl_33, type, omega: $i).
0.84/180.03	thf(decl_34, type, omega0Ax: $o).
0.84/180.03	thf(decl_35, type, omegaSAx: $o).
0.84/180.03	thf(decl_36, type, omegaIndAx: $o).
0.84/180.03	thf(decl_37, type, replAx: $o).
0.84/180.03	thf(decl_38, type, foundationAx: $o).
0.84/180.03	thf(decl_39, type, wellorderingAx: $o).
0.84/180.03	thf(decl_40, type, descr: ($i > $o) > $i).
0.84/180.03	thf(decl_41, type, descrp: $o).
0.84/180.03	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.84/180.03	thf(decl_43, type, dsetconstrI: $o).
0.84/180.03	thf(decl_44, type, dsetconstrEL: $o).
0.84/180.03	thf(decl_45, type, dsetconstrER: $o).
0.84/180.03	thf(decl_46, type, exuE1: $o).
0.84/180.03	thf(decl_47, type, prop2set: $o > $i).
0.84/180.03	thf(decl_48, type, prop2setE: $o).
0.84/180.03	thf(decl_49, type, emptysetE: $o).
0.84/180.03	thf(decl_50, type, emptysetimpfalse: $o).
0.84/180.03	thf(decl_51, type, notinemptyset: $o).
0.84/180.03	thf(decl_52, type, exuE3e: $o).
0.84/180.03	thf(decl_53, type, setext: $o).
0.84/180.03	thf(decl_54, type, emptyI: $o).
0.84/180.03	thf(decl_55, type, noeltsimpempty: $o).
0.84/180.03	thf(decl_56, type, setbeta: $o).
0.84/180.03	thf(decl_57, type, nonempty: $i > $o).
0.84/180.03	thf(decl_58, type, nonemptyE1: $o).
0.84/180.03	thf(decl_59, type, nonemptyI: $o).
0.84/180.03	thf(decl_60, type, nonemptyI1: $o).
0.84/180.03	thf(decl_61, type, setadjoinIL: $o).
0.84/180.03	thf(decl_62, type, emptyinunitempty: $o).
0.84/180.03	thf(decl_63, type, setadjoinIR: $o).
0.84/180.03	thf(decl_64, type, setadjoinE: $o).
0.84/180.03	thf(decl_65, type, setadjoinOr: $o).
0.84/180.03	thf(decl_66, type, setoftrueEq: $o).
0.84/180.03	thf(decl_67, type, powersetI: $o).
0.84/180.03	thf(decl_68, type, emptyinPowerset: $o).
0.84/180.03	thf(decl_69, type, emptyInPowerset: $o).
0.84/180.03	thf(decl_70, type, powersetE: $o).
0.84/180.03	thf(decl_71, type, setunionI: $o).
0.84/180.03	thf(decl_72, type, setunionE: $o).
0.84/180.03	thf(decl_73, type, subPowSU: $o).
0.84/180.03	thf(decl_74, type, exuE2: $o).
0.84/180.03	thf(decl_75, type, nonemptyImpWitness: $o).
0.84/180.03	thf(decl_76, type, uniqinunit: $o).
0.84/180.03	thf(decl_77, type, notinsingleton: $o).
0.84/180.03	thf(decl_78, type, eqinunit: $o).
0.84/180.03	thf(decl_79, type, singletonsswitch: $o).
0.84/180.03	thf(decl_80, type, upairsetE: $o).
0.84/180.03	thf(decl_81, type, upairsetIL: $o).
0.84/180.03	thf(decl_82, type, upairsetIR: $o).
0.84/180.03	thf(decl_83, type, emptyE1: $o).
0.84/180.03	thf(decl_84, type, vacuousDall: $o).
0.84/180.03	thf(decl_85, type, quantDeMorgan1: $o).
0.84/180.03	thf(decl_86, type, quantDeMorgan2: $o).
0.84/180.03	thf(decl_87, type, quantDeMorgan3: $o).
0.84/180.03	thf(decl_88, type, quantDeMorgan4: $o).
0.84/180.03	thf(decl_89, type, prop2setI: $o).
0.84/180.03	thf(decl_90, type, set2prop: $i > $o).
0.84/180.03	thf(decl_91, type, prop2set2propI: $o).
0.84/180.03	thf(decl_92, type, notdexE: $o).
0.84/180.03	thf(decl_93, type, notdallE: $o).
0.84/180.03	thf(decl_94, type, exuI1: $o).
0.84/180.03	thf(decl_95, type, exuI3: $o).
0.84/180.03	thf(decl_96, type, exuI2: $o).
0.84/180.03	thf(decl_97, type, inCongP: $o).
0.84/180.03	thf(decl_98, type, in__Cong: $o).
0.84/180.03	thf(decl_99, type, exuE3u: $o).
0.84/180.03	thf(decl_100, type, exu__Cong: $o).
0.84/180.03	thf(decl_101, type, emptyset__Cong: $o).
0.84/180.03	thf(decl_102, type, setadjoin__Cong: $o).
0.84/180.03	thf(decl_103, type, powerset__Cong: $o).
0.84/180.03	thf(decl_104, type, setunion__Cong: $o).
0.84/180.03	thf(decl_105, type, omega__Cong: $o).
0.84/180.03	thf(decl_106, type, exuEu: $o).
0.84/180.03	thf(decl_107, type, descr__Cong: $o).
0.84/180.03	thf(decl_108, type, dsetconstr__Cong: $o).
0.84/180.03	thf(decl_109, type, subset: $i > $i > $o).
0.84/180.03	thf(decl_112, type, subsetI1: $o).
0.84/180.03	thf(decl_113, type, eqimpsubset2: $o).
0.84/180.03	thf(decl_114, type, eqimpsubset1: $o).
0.84/180.03	thf(decl_115, type, subsetI2: $o).
0.84/180.03	thf(decl_116, type, emptysetsubset: $o).
0.84/180.03	thf(decl_117, type, subsetE: $o).
0.84/180.03	thf(decl_118, type, subsetE2: $o).
0.84/180.03	thf(decl_119, type, notsubsetI: $o).
0.84/180.03	thf(decl_120, type, notequalI1: $o).
0.84/180.03	thf(decl_121, type, notequalI2: $o).
0.84/180.03	thf(decl_122, type, subsetRefl: $o).
0.84/180.03	thf(decl_123, type, subsetTrans: $o).
0.84/180.03	thf(decl_124, type, setadjoinSub: $o).
0.84/180.03	thf(decl_125, type, setadjoinSub2: $o).
0.84/180.03	thf(decl_126, type, subset2powerset: $o).
0.84/180.03	thf(decl_127, type, setextsub: $o).
0.84/180.03	thf(decl_128, type, subsetemptysetimpeq: $o).
0.84/180.03	thf(decl_129, type, powersetI1: $o).
0.84/180.03	thf(decl_130, type, powersetE1: $o).
0.84/180.03	thf(decl_131, type, inPowerset: $o).
0.84/180.03	thf(decl_132, type, powersetsubset: $o).
0.84/180.03	thf(decl_133, type, sepInPowerset: $o).
0.84/180.03	thf(decl_134, type, sepSubset: $o).
0.84/180.03	thf(decl_135, type, binunion: $i > $i > $i).
0.84/180.03	thf(decl_136, type, binunionIL: $o).
0.84/180.03	thf(decl_137, type, upairset2IR: $o).
0.84/180.03	thf(decl_138, type, binunionIR: $o).
0.84/180.03	thf(decl_139, type, binunionEcases: $o).
0.84/180.03	thf(decl_140, type, binunionE: $o).
0.84/180.03	thf(decl_141, type, binunionLsub: $o).
0.84/180.03	thf(decl_142, type, binunionRsub: $o).
0.84/180.03	thf(decl_143, type, binintersect: $i > $i > $i).
0.84/180.03	thf(decl_144, type, binintersectI: $o).
0.84/180.03	thf(decl_145, type, binintersectSubset5: $o).
0.84/180.03	thf(decl_146, type, binintersectEL: $o).
0.84/180.03	thf(decl_147, type, binintersectLsub: $o).
0.84/180.03	thf(decl_148, type, binintersectSubset2: $o).
0.84/180.03	thf(decl_149, type, binintersectSubset3: $o).
0.84/180.03	thf(decl_150, type, binintersectER: $o).
0.84/180.03	thf(decl_151, type, disjointsetsI1: $o).
0.84/180.03	thf(decl_152, type, binintersectRsub: $o).
0.84/180.03	thf(decl_153, type, binintersectSubset4: $o).
0.84/180.03	thf(decl_154, type, binintersectSubset1: $o).
0.84/180.03	thf(decl_155, type, bs114d: $o).
0.84/180.03	thf(decl_157, type, setminus: $i > $i > $i).
0.84/180.03	thf(decl_158, type, setminusI: $o).
0.84/180.03	thf(decl_159, type, setminusEL: $o).
0.84/180.03	thf(decl_160, type, epred1_0: $o).
0.84/180.03	thf(decl_161, type, esk1_2: $i > $i > $i).
0.84/180.03	thf(decl_162, type, esk2_2: $i > $i > $i).
0.84/180.03	thf(decl_163, type, esk3_2: $i > $i > $i).
0.84/180.03	thf(decl_164, type, esk4_1: $i > $i).
0.84/180.03	thf(decl_165, type, esk5_2: ($i > $i > $o) > $i > $i).
0.84/180.03	thf(decl_166, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.84/180.03	thf(decl_167, type, esk7_2: ($i > $i > $o) > $i > $i).
0.84/180.03	thf(decl_168, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.84/180.03	thf(decl_169, type, esk9_1: $i > $i).
0.84/180.03	thf(decl_170, type, esk10_2: ($i > $o) > $i > $i).
0.84/180.03	thf(decl_171, type, esk11_2: ($i > $o) > $i > $i).
0.84/180.03	thf(decl_172, type, esk12_1: ($i > $o) > $i).
0.84/180.03	thf(decl_173, type, esk13_2: ($i > $o) > $i > $i).
0.84/180.03	thf(decl_174, type, esk14_1: ($i > $o) > $i).
0.84/180.03	thf(decl_175, type, esk15_2: $i > $i > $i).
0.84/180.03	thf(decl_176, type, esk16_2: $i > $i > $i).
0.84/180.03	thf(decl_177, type, esk17_1: $i > $i).
0.84/180.03	thf(decl_178, type, esk18_1: $i > $i).
0.84/180.03	thf(decl_179, type, esk19_1: $i > $i).
0.84/180.03	thf(decl_180, type, esk20_2: $i > $i > $i).
0.84/180.03	thf(decl_181, type, esk21_3: $i > $i > $o > $i).
0.84/180.03	thf(decl_182, type, esk22_2: ($i > $o) > $i > $i).
0.84/180.03	thf(decl_183, type, esk23_1: ($i > $o) > $i).
0.84/180.03	thf(decl_184, type, esk24_1: $i > $i).
0.84/180.03	thf(decl_185, type, esk25_2: $i > ($i > $o) > $i).
0.84/180.03	thf(decl_186, type, esk26_2: $i > ($i > $o) > $i).
0.84/180.03	thf(decl_187, type, esk27_2: $i > ($i > $o) > $i).
0.84/180.03	thf(decl_188, type, esk28_2: $i > ($i > $o) > $i).
0.84/180.03	thf(decl_189, type, esk29_2: $i > ($i > $o) > $i).
0.84/180.03	thf(decl_190, type, esk30_2: $i > ($i > $o) > $i).
0.84/180.03	thf(decl_191, type, esk31_2: ($i > $o) > $i > $i).
0.84/180.03	thf(decl_192, type, esk32_1: ($i > $o) > $i).
0.84/180.03	thf(decl_193, type, esk33_1: ($i > $o) > $i).
0.84/180.03	thf(decl_194, type, esk34_1: ($i > $o) > $i).
0.84/180.03	thf(decl_195, type, esk35_1: ($i > $o) > $i).
0.84/180.03	thf(decl_196, type, esk36_2: ($i > $o) > $i > $i).
0.84/180.03	thf(decl_197, type, esk37_1: ($i > $o) > $i).
0.84/180.03	thf(decl_198, type, esk38_2: ($i > $o) > $i > $i).
0.84/180.03	thf(decl_199, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.84/180.03	thf(decl_200, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.84/180.03	thf(decl_201, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.84/180.04	thf(decl_202, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.84/180.04	thf(decl_203, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.84/180.04	thf(decl_204, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.84/180.04	thf(decl_205, type, esk45_2: ($i > $o) > $i > $i).
0.84/180.04	thf(decl_206, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.84/180.04	thf(decl_207, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.84/180.04	thf(decl_208, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.84/180.04	thf(decl_209, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.84/180.04	thf(decl_210, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.84/180.04	thf(decl_211, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.84/180.04	thf(decl_212, type, esk52_2: $i > $i > $i).
0.84/180.04	thf(decl_213, type, esk53_2: $i > $i > $i).
0.84/180.04	thf(decl_214, type, esk54_2: $i > $i > $i).
0.84/180.04	thf(decl_215, type, esk55_0: $i).
0.84/180.04	thf(decl_216, type, esk56_0: $i).
0.84/180.04	thf(decl_217, type, esk57_0: $i).
0.84/180.04	thf(decl_224, type, epred3_1: $i > $i > $o).
0.84/180.04	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', nonempty)).
0.84/180.04	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', exuE3u)).
0.84/180.04	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', exu)).
0.84/180.04	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', exuE1)).
0.84/180.04	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', exu__Cong)).
0.84/180.04	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', replAx)).
0.84/180.04	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', exuEu)).
0.84/180.04	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', exuI1)).
0.84/180.04	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', descr__Cong)).
0.84/180.04	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', exuI2)).
0.84/180.04	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', exuE2)).
0.84/180.04	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', exuI3)).
0.84/180.04	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', nonemptyI)).
0.84/180.04	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', exuE3e)).
0.84/180.04	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', descrp)).
0.84/180.04	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', nonemptyE1)).
0.84/180.04	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', dsetconstrER)).
0.84/180.04	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', dsetconstr__Cong)).
0.84/180.04	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', sepSubset)).
0.84/180.04	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', sepInPowerset)).
0.84/180.04	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setoftrueEq)).
0.84/180.04	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', emptyE1)).
0.84/180.04	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', nonemptyImpWitness)).
0.84/180.04	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', nonemptyI1)).
0.84/180.04	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setbeta)).
0.84/180.04	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', dsetconstrEL)).
0.84/180.04	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', dsetconstrI)).
0.84/180.04	thf(setminusER, conjecture, ((((((setunionAx)=>((omega0Ax)=>(((((foundationAx)=>(((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>(((((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>(((setbeta)=>(((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>(((((((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>(((subPowSU)=>(((nonemptyImpWitness)=>((((((upairsetE)=>(((upairsetIR)=>((emptyE1)=>((((quantDeMorgan2)=>(((quantDeMorgan4)=>(((prop2set2propI)=>(((notdallE)=>((exuI1)=>((exuI3)=>(((inCongP)=>(((exuE3u)=>((exu__Cong)=>(((setadjoin__Cong)=>((((omega__Cong)=>((exuEu)=>(((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>(((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((((((((setadjoinSub2)=>((((subsetemptysetimpeq)=>((((inPowerset)=>((powersetsubset)=>(((sepSubset)=>((binunionIL)=>((upairset2IR)=>(((binunionEcases)=>((binunionE)=>(((((binintersectSubset5)=>(((binintersectLsub)=>((binintersectSubset2)=>(((((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>(((setminusI)=>(![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))<=(setminusEL)))<=(bs114d)))))<=(disjointsetsI1))<=(binintersectER))<=(binintersectSubset3))))<=(binintersectEL)))<=(binintersectI))<=(binunionRsub))<=(binunionLsub))))<=(binunionIR)))))<=(sepInPowerset))))<=(powersetE1))<=(powersetI1)))<=(setextsub))<=(subset2powerset)))<=(setadjoinSub))<=(subsetTrans))<=(subsetRefl))<=(notequalI2))<=(notequalI1))<=(notsubsetI))))))<=(eqimpsubset1)))))<=(descr__Cong))))<=(setunion__Cong))<=(powerset__Cong)))<=(emptyset__Cong))))<=(in__Cong)))<=(exuI2)))))<=(notdexE)))<=(prop2setI)))<=(quantDeMorgan3)))<=(quantDeMorgan1))<=(vacuousDall))))<=(upairsetIL)))<=(singletonsswitch))<=(eqinunit))<=(notinsingleton))<=(uniqinunit)))<=(exuE2)))<=(setunionE)))))))<=(setoftrueEq))<=(setadjoinOr))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty)))))<=(nonemptyE1)))<=(noeltsimpempty))))))))<=(prop2setE))<=(exuE1))<=(dsetconstrER)))))<=(wellorderingAx)))<=(replAx))<=(omegaIndAx))<=(omegaSAx))))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setminusER)).
0.84/180.04	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setextAx)).
0.84/180.04	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setadjoinOr)).
0.84/180.04	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setadjoinE)).
0.84/180.04	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setadjoinIR)).
0.84/180.04	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', emptyinunitempty)).
0.84/180.04	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', inCongP)).
0.84/180.04	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', noeltsimpempty)).
0.84/180.04	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', prop2setE)).
0.84/180.04	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', wellorderingAx)).
0.84/180.04	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setadjoin__Cong)).
0.84/180.04	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', omegaIndAx)).
0.84/180.04	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', omegaSAx)).
0.84/180.04	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', powersetAx)).
0.84/180.04	thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', prop2set2propI)).
0.84/180.04	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setadjoinAx)).
0.84/180.04	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', omega__Cong)).
0.84/180.04	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', emptysetAx)).
0.84/180.04	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', subsetI1)).
0.84/180.04	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', eqimpsubset2)).
0.84/180.04	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', subsetI2)).
0.84/180.04	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', emptysetsubset)).
0.84/180.04	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', subsetE)).
0.84/180.04	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', subsetE2)).
0.84/180.04	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setadjoinSub2)).
0.84/180.04	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', subsetemptysetimpeq)).
0.84/180.04	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', notdallE)).
0.84/180.04	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', inPowerset)).
0.84/180.04	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', powersetsubset)).
0.84/180.04	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binunionIL)).
0.84/180.04	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', upairset2IR)).
0.84/180.04	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binunionEcases)).
0.84/180.04	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binunionE)).
0.84/180.04	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binintersectSubset5)).
0.84/180.04	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binintersectLsub)).
0.84/180.04	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binintersectSubset2)).
0.84/180.04	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binintersectRsub)).
0.84/180.04	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binintersectSubset4)).
0.84/180.04	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binintersectSubset1)).
0.84/180.04	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setminusI)).
0.84/180.04	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setminusEL)).
0.84/180.04	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', bs114d)).
0.84/180.04	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', disjointsetsI1)).
0.84/180.04	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binintersectER)).
0.84/180.04	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binintersectSubset3)).
0.84/180.04	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binintersectEL)).
0.84/180.04	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binintersectI)).
0.84/180.04	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binunionRsub)).
0.84/180.04	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binunionLsub)).
0.84/180.04	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', binunionIR)).
0.84/180.04	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', powersetE1)).
0.84/180.04	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', powersetI1)).
0.84/180.04	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setextsub)).
0.84/180.04	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', subset2powerset)).
0.84/180.04	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setadjoinSub)).
0.84/180.04	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', subsetTrans)).
0.84/180.04	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', subsetRefl)).
0.84/180.04	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', notequalI2)).
0.84/180.04	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', notequalI1)).
0.84/180.04	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', notsubsetI)).
0.84/180.04	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', eqimpsubset1)).
0.84/180.04	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setunion__Cong)).
0.84/180.04	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', powerset__Cong)).
0.84/180.04	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', emptyset__Cong)).
0.84/180.04	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', in__Cong)).
0.84/180.04	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', notdexE)).
0.84/180.04	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', prop2setI)).
0.84/180.04	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', quantDeMorgan3)).
0.84/180.04	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', quantDeMorgan1)).
0.84/180.04	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', vacuousDall)).
0.84/180.04	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', upairsetIL)).
0.84/180.04	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', singletonsswitch)).
0.84/180.04	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', eqinunit)).
0.84/180.04	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', notinsingleton)).
0.84/180.04	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', uniqinunit)).
0.84/180.04	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setunionE)).
0.84/180.04	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', quantDeMorgan4)).
0.84/180.04	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', quantDeMorgan2)).
0.84/180.04	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', upairsetIR)).
0.84/180.04	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', upairsetE)).
0.84/180.04	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', subPowSU)).
0.84/180.04	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setunionI)).
0.84/180.04	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', powersetE)).
0.84/180.04	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', emptyInPowerset)).
0.84/180.04	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', emptyinPowerset)).
0.84/180.04	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', powersetI)).
0.84/180.04	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setadjoinIL)).
0.84/180.04	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', emptyI)).
0.84/180.04	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setext)).
0.84/180.04	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', notinemptyset)).
0.84/180.04	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', emptysetimpfalse)).
0.84/180.04	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', emptysetE)).
0.84/180.04	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', foundationAx)).
0.84/180.04	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', omega0Ax)).
0.84/180.04	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setunionAx)).
0.84/180.04	thf(setminus, axiom, ((setminus)=(^[X4:$i, X5:$i]:(dsetconstr @ X4 @ (^[X2:$i]:(~((in @ X2 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.MFhUoDqV2s/E---3.1_13550.p', setminus)).
0.84/180.04	thf(c_0_123, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.84/180.04	thf(c_0_124, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.84/180.04	thf(c_0_125, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.84/180.04	thf(c_0_126, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.84/180.04	thf(c_0_127, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.84/180.04	thf(c_0_128, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.84/180.04	thf(c_0_129, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.84/180.04	thf(c_0_130, 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])).
0.84/180.04	thf(c_0_131, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.84/180.04	thf(c_0_132, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.84/180.04	thf(c_0_133, 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])).
0.84/180.04	thf(c_0_134, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.84/180.04	thf(c_0_135, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.84/180.04	thf(c_0_136, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.84/180.04	thf(c_0_137, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.84/180.04	thf(c_0_138, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_123])).
0.84/180.04	thf(c_0_139, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X356:$i]:((((X1 @ X356))&![X357:$i]:((((X1 @ X357))=>((X356)=(X357)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_124, c_0_125])).
0.84/180.04	thf(c_0_140, plain, ((exuE1)=(![X1:$i > $o]:(((?[X344:$i]:((((X1 @ X344))&![X345:$i]:((((X1 @ X345))=>((X344)=(X345)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_126, c_0_125])).
0.84/180.04	thf(c_0_141, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.84/180.04	thf(c_0_142, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X358:$i]:((((X1 @ X358))&![X359:$i]:((((X1 @ X359))=>((X358)=(X359)))))))<=>(?[X360:$i]:((((X17 @ X360))&![X361:$i]:((((X17 @ X361))=>((X360)=(X361)))))))))))), inference(apply_def,[status(thm)],[c_0_127, c_0_125])).
0.84/180.04	thf(c_0_143, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X340:$i]:((((X6 @ X2 @ X340))&![X341:$i]:((((X6 @ X2 @ X341))=>((X340)=(X341)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_128, c_0_125])).
0.84/180.04	thf(c_0_144, plain, ((exuEu)=(![X1:$i > $o]:(((?[X362:$i]:((((X1 @ X362))&![X363:$i]:((((X1 @ X363))=>((X362)=(X363)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_129, c_0_125])).
0.84/180.04	thf(c_0_145, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.84/180.04	thf(c_0_146, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.84/180.04	thf(c_0_147, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X350:$i]:((((X1 @ X350))&![X351:$i]:((((X1 @ X351))=>((X350)=(X351))))))))))), inference(apply_def,[status(thm)],[c_0_130, c_0_125])).
0.84/180.04	thf(c_0_148, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.84/180.04	thf(c_0_149, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X364:$i]:((((X1 @ X364))&![X365:$i]:((((X1 @ X365))=>((X364)=(X365)))))))=>((?[X366:$i]:((((X17 @ X366))&![X367:$i]:((((X17 @ X367))=>((X366)=(X367)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_131, c_0_125])).
0.84/180.04	thf(c_0_150, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X354:$i]:((((X1 @ X354))&![X355:$i]:((((X1 @ X355))=>((X354)=(X355))))))))))), inference(apply_def,[status(thm)],[c_0_132, c_0_125])).
0.84/180.04	thf(c_0_151, plain, ((exuE2)=(![X1:$i > $o]:(((?[X348:$i]:((((X1 @ X348))&![X349:$i]:((((X1 @ X349))=>((X348)=(X349)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_133, c_0_125])).
0.84/180.04	thf(c_0_152, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.84/180.04	thf(c_0_153, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X352:$i]:((((X1 @ X352))&![X353:$i]:((((X1 @ X353))=>((X352)=(X353)))))))))))), inference(apply_def,[status(thm)],[c_0_134, c_0_125])).
0.84/180.04	thf(c_0_154, 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])).
0.84/180.04	thf(c_0_155, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_123])).
0.84/180.04	thf(c_0_156, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_123])).
0.84/180.04	thf(c_0_157, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_135, c_0_123])).
0.84/180.04	thf(c_0_158, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.84/180.04	thf(c_0_159, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X346:$i]:((((X1 @ X346))&![X347:$i]:((((X1 @ X347))=>((X346)=(X347)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_136, c_0_125])).
0.84/180.04	thf(c_0_160, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.84/180.04	thf(c_0_161, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.84/180.04	thf(c_0_162, plain, ((descrp)=(![X1:$i > $o]:(((?[X342:$i]:((((X1 @ X342))&![X343:$i]:((((X1 @ X343))=>((X342)=(X343)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_137, c_0_125])).
0.84/180.04	thf(c_0_163, plain, ((epred1_0)<=>![X672:$i]:(?[X673:$i]:((((![X674:$i]:(((in @ X674 @ X673)=>![X675:$i]:(((in @ X675 @ X674)=>(in @ X675 @ X672)))))&![X676:$i, X677:$i]:((((in @ X676 @ X672)&(in @ X677 @ X672))=>(![X678:$i]:(((in @ X678 @ X673)=>((in @ X676 @ X678)<=>(in @ X677 @ X678))))=>((X676)=(X677))))))&![X679:$i, X680:$i]:((((in @ X679 @ X673)&(in @ X680 @ X673))=>(![X681:$i]:(((in @ X681 @ X679)=>(in @ X681 @ X680)))|![X682:$i]:(((in @ X682 @ X680)=>(in @ X682 @ X679)))))))&![X683:$i]:(((![X684:$i]:(((in @ X684 @ X683)=>(in @ X684 @ X672)))&?[X685:$i]:((in @ X685 @ X683)))=>?[X686:$i, X687:$i]:(((((in @ X686 @ X673)&(in @ X687 @ X683))&~(?[X688:$i]:(((in @ X688 @ X686)&(in @ X688 @ X683)))))&![X689:$i]:(((in @ X689 @ X673)=>(![X690:$i]:(((in @ X690 @ X689)=>(in @ X690 @ X686)))|(in @ X687 @ X689)))))))))))), introduced(definition)).
0.84/180.04	thf(c_0_164, negated_conjecture, ~((![X710:$i, X711:$i]:((![X712:$i]:(((in @ X712 @ X710)<=>(in @ X712 @ X711)))=>((X710)=(X711))))=>(![X709:$i]:(~(in @ X709 @ emptyset))=>(![X706:$i, X707:$i, X708:$i]:(((in @ X708 @ (setadjoin @ X706 @ X707))<=>(((X708)=(X706))|(in @ X708 @ X707))))=>(![X703:$i, X704:$i]:(((in @ X704 @ (powerset @ X703))<=>![X705:$i]:(((in @ X705 @ X704)=>(in @ X705 @ X703)))))=>(![X368:$i, X369:$i]:(((in @ X369 @ (setunion @ X368))<=>?[X370:$i]:(((in @ X369 @ X370)&(in @ X370 @ X368)))))=>((in @ emptyset @ omega)=>(![X702:$i]:(((in @ X702 @ omega)=>(in @ (setadjoin @ X702 @ X702) @ omega)))=>(![X699:$i]:((((in @ emptyset @ X699)&![X700:$i]:((((in @ X700 @ omega)&(in @ X700 @ X699))=>(in @ (setadjoin @ X700 @ X700) @ X699))))=>![X701:$i]:(((in @ X701 @ omega)=>(in @ X701 @ X699)))))=>(![X691:$i > $i > $o, X692:$i]:((![X693:$i]:(((in @ X693 @ X692)=>?[X694:$i]:(((X691 @ X693 @ X694)&![X695:$i]:(((X691 @ X693 @ X695)=>((X694)=(X695))))))))=>?[X696:$i]:(![X697:$i]:(((in @ X697 @ X696)<=>?[X698:$i]:(((in @ X698 @ X692)&(X691 @ X698 @ X697))))))))=>(![X371:$i]:((?[X372:$i]:((in @ X372 @ X371))=>?[X373:$i]:(((in @ X373 @ X371)&~(?[X374:$i]:(((in @ X374 @ X373)&(in @ X374 @ X371))))))))=>((epred1_0)=>(![X375:$i > $o]:((?[X376:$i]:(((X375 @ X376)&![X377:$i]:(((X375 @ X377)=>((X376)=(X377))))))=>(X375 @ (descr @ (^[Z0/* 17 */:$i]:(X375 @ Z0))))))=>(![X378:$i, X379:$i > $o, X380:$i]:(((in @ X380 @ X378)=>((X379 @ X380)=>(in @ X380 @ (dsetconstr @ X378 @ X379)))))=>(![X381:$i, X382:$i > $o, X383:$i]:(((in @ X383 @ (dsetconstr @ X381 @ X382))=>(in @ X383 @ X381)))=>(![X669:$i, X670:$i > $o, X671:$i]:(((in @ X671 @ (dsetconstr @ X669 @ X670))=>(X670 @ X671)))=>(![X664:$i > $o]:((?[X665:$i]:(((X664 @ X665)&![X666:$i]:(((X664 @ X666)=>((X665)=(X666))))))=>?[X667:$i]:(((X664 @ X667)&![X668:$i]:(((X664 @ X668)=>((X667)=(X668))))))))=>(![X662:$o, X663:$i]:(((in @ X663 @ (prop2set @ ((X662))))=>(X662)))=>(![X384:$i]:(((in @ X384 @ emptyset)=>![X385:$o]:((X385))))=>(![X386:$i]:(((in @ X386 @ emptyset)=>~($true)))=>(![X387:$i]:(~(in @ X387 @ emptyset))=>(![X388:$i > $o]:((?[X389:$i]:(((X388 @ X389)&![X390:$i]:(((X388 @ X390)=>((X389)=(X390))))))=>?[X391:$i]:((X388 @ X391))))=>(![X392:$i, X393:$i]:((![X394:$i]:(((in @ X394 @ X392)=>(in @ X394 @ X393)))=>(![X395:$i]:(((in @ X395 @ X393)=>(in @ X395 @ X392)))=>((X392)=(X393)))))=>(![X396:$i]:((![X397:$i]:(~(in @ X397 @ X396))=>((X396)=(emptyset))))=>(![X660:$i]:((![X661:$i]:(~(in @ X661 @ X660))=>((X660)=(emptyset))))=>(![X398:$i, X399:$i > $o, X400:$i]:(((in @ X400 @ X398)=>((in @ X400 @ (dsetconstr @ X398 @ X399))<=>(X399 @ X400))))=>(![X658:$i]:((((X658)!=(emptyset))=>?[X659:$i]:((in @ X659 @ X658))))=>(![X401:$i, X402:$i > $o, X403:$i]:(((in @ X403 @ X401)=>((X402 @ X403)=>((dsetconstr @ X401 @ X402)!=(emptyset)))))=>(![X404:$i]:((?[X405:$i]:((in @ X405 @ X404))=>((X404)!=(emptyset))))=>(![X406:$i, X407:$i]:((in @ X406 @ (setadjoin @ X406 @ X407)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X655:$i, X656:$i, X657:$i]:(((in @ X657 @ X656)=>(in @ X657 @ (setadjoin @ X655 @ X656))))=>(![X651:$i, X652:$i, X653:$i]:(((in @ X653 @ (setadjoin @ X651 @ X652))=>![X654:$o]:(((((X653)=(X651))=>(X654))=>(((in @ X653 @ X652)=>(X654))=>(X654))))))=>(![X648:$i, X649:$i, X650:$i]:(((in @ X650 @ (setadjoin @ X648 @ X649))=>(((X650)=(X648))|(in @ X650 @ X649))))=>(![X647:$i]:(((dsetconstr @ X647 @ (^[Z0/* 1 */:$i]:($true)))=(X647)))=>(![X408:$i, X409:$i]:((![X410:$i]:(((in @ X410 @ X409)=>(in @ X410 @ X408)))=>(in @ X409 @ (powerset @ X408))))=>(![X411:$i]:((in @ emptyset @ (powerset @ X411)))=>(![X412:$i]:((in @ emptyset @ (powerset @ X412)))=>(![X413:$i, X414:$i, X415:$i]:(((in @ X414 @ (powerset @ X413))=>((in @ X415 @ X414)=>(in @ X415 @ X413))))=>(![X416:$i, X417:$i, X418:$i]:(((in @ X417 @ X418)=>((in @ X418 @ X416)=>(in @ X417 @ (setunion @ X416)))))=>(![X643:$i, X644:$i]:(((in @ X644 @ (setunion @ X643))=>![X645:$o]:((![X646:$i]:(((in @ X644 @ X646)=>((in @ X646 @ X643)=>(X645))))=>(X645)))))=>(![X419:$i, X420:$i]:(((in @ X420 @ X419)=>(in @ X420 @ (powerset @ (setunion @ X419)))))=>(![X638:$i > $o]:((?[X639:$i]:(((X638 @ X639)&![X640:$i]:(((X638 @ X640)=>((X639)=(X640))))))=>?[X641:$i]:(![X642:$i]:(((X638 @ X642)<=>((X642)=(X641)))))))=>(![X421:$i]:((((X421)!=(emptyset))=>?[X422:$i]:(((in @ X422 @ X421)&$true))))=>(![X636:$i, X637:$i]:(((in @ X636 @ (setadjoin @ X637 @ emptyset))=>((X636)=(X637))))=>(![X634:$i, X635:$i]:((((X634)!=(X635))=>~(in @ X635 @ (setadjoin @ X634 @ emptyset))))=>(![X632:$i, X633:$i]:((((X632)=(X633))=>(in @ X632 @ (setadjoin @ X633 @ emptyset))))=>(![X630:$i, X631:$i]:(((in @ X630 @ (setadjoin @ X631 @ emptyset))=>(in @ X631 @ (setadjoin @ X630 @ emptyset))))=>(![X423:$i, X424:$i, X425:$i]:(((in @ X425 @ (setadjoin @ X423 @ (setadjoin @ X424 @ emptyset)))=>(((X425)=(X423))|((X425)=(X424)))))=>(![X628:$i, X629:$i]:((in @ X628 @ (setadjoin @ X628 @ (setadjoin @ X629 @ emptyset))))=>(![X426:$i, X427:$i]:((in @ X427 @ (setadjoin @ X426 @ (setadjoin @ X427 @ emptyset))))=>(![X428:$i, X429:$i > $o]:((?[X430:$i]:(((in @ X430 @ X428)&(X429 @ X430)))=>(((dsetconstr @ X428 @ X429)=(emptyset))=>~($true))))=>(![X626:$i > $o, X627:$i]:(((in @ X627 @ emptyset)=>(X626 @ X627)))=>(![X622:$i, X623:$i > $o]:((~(![X624:$i]:(((in @ X624 @ X622)=>(X623 @ X624))))=>?[X625:$i]:(((in @ X625 @ X622)&~((X623 @ X625))))))=>(![X431:$i, X432:$i > $o]:((![X433:$i]:(((in @ X433 @ X431)=>~((X432 @ X433))))=>~(?[X434:$i]:(((in @ X434 @ X431)&(X432 @ X434))))))=>(![X618:$i, X619:$i > $o]:((~(?[X620:$i]:(((in @ X620 @ X618)&(X619 @ X620))))=>![X621:$i]:(((in @ X621 @ X618)=>~((X619 @ X621))))))=>(![X435:$i, X436:$i > $o]:((?[X437:$i]:(((in @ X437 @ X435)&~((X436 @ X437))))=>~(![X438:$i]:(((in @ X438 @ X435)=>(X436 @ X438))))))=>(![X617:$o]:(((X617)=>(in @ emptyset @ (prop2set @ ((X617))))))=>(![X439:$o]:(((X439)=>(set2prop @ (prop2set @ ((X439))))))=>(![X613:$i, X614:$i > $o]:((~(?[X615:$i]:(((in @ X615 @ X613)&(X614 @ X615))))=>![X616:$i]:(((in @ X616 @ X613)=>~((X614 @ X616))))))=>(![X440:$i, X441:$i > $o]:((~(![X442:$i]:(((in @ X442 @ X440)=>(X441 @ X442))))=>?[X443:$i]:(((in @ X443 @ X440)&~((X441 @ X443))))))=>(![X444:$i > $o]:((?[X445:$i]:(((X444 @ X445)&![X446:$i]:(((X444 @ X446)=>((X445)=(X446))))))=>?[X447:$i]:(((X444 @ X447)&![X448:$i]:(((X444 @ X448)=>((X447)=(X448))))))))=>(![X449:$i > $o]:((?[X450:$i]:((X449 @ X450))=>(![X451:$i, X452:$i]:(((X449 @ X451)=>((X449 @ X452)=>((X451)=(X452)))))=>?[X453:$i]:(((X449 @ X453)&![X454:$i]:(((X449 @ X454)=>((X453)=(X454)))))))))=>(![X608:$i > $o]:((?[X609:$i]:(![X610:$i]:(((X608 @ X610)<=>((X610)=(X609)))))=>?[X611:$i]:(((X608 @ X611)&![X612:$i]:(((X608 @ X612)=>((X611)=(X612))))))))=>(![X455:$i, X456:$i]:((((X455)=(X456))=>![X457:$i, X458:$i]:((((X457)=(X458))=>((in @ X457 @ X455)=>(in @ X458 @ X456))))))=>(![X604:$i, X605:$i]:((((X604)=(X605))=>![X606:$i, X607:$i]:((((X606)=(X607))=>((in @ X606 @ X604)<=>(in @ X607 @ X605))))))=>(![X459:$i > $o]:((?[X460:$i]:(((X459 @ X460)&![X461:$i]:(((X459 @ X461)=>((X460)=(X461))))))=>![X462:$i, X463:$i]:(((X459 @ X462)=>((X459 @ X463)=>((X462)=(X463)))))))=>(![X464:$i > $o, X465:$i > $o]:((![X466:$i, X467:$i]:((((X466)=(X467))=>((X464 @ X466)<=>(X465 @ X467))))=>(?[X468:$i]:(((X464 @ X468)&![X469:$i]:(((X464 @ X469)=>((X468)=(X469))))))<=>?[X470:$i]:(((X465 @ X470)&![X471:$i]:(((X465 @ X471)=>((X470)=(X471)))))))))=>(((emptyset)=(emptyset))=>(![X472:$i, X473:$i]:((((X472)=(X473))=>![X474:$i, X475:$i]:((((X474)=(X475))=>((setadjoin @ X472 @ X474)=(setadjoin @ X473 @ X475))))))=>(![X602:$i, X603:$i]:((((X602)=(X603))=>((powerset @ X602)=(powerset @ X603))))=>(![X600:$i, X601:$i]:((((X600)=(X601))=>((setunion @ X600)=(setunion @ X601))))=>(((omega)=(omega))=>(![X476:$i > $o]:((?[X477:$i]:(((X476 @ X477)&![X478:$i]:(((X476 @ X478)=>((X477)=(X478))))))=>![X479:$i, X480:$i]:(((X476 @ X479)=>((X476 @ X480)=>((X479)=(X480)))))))=>(![X592:$i > $o, X593:$i > $o]:((![X594:$i, X595:$i]:((((X594)=(X595))=>((X592 @ X594)<=>(X593 @ X595))))=>(?[X596:$i]:(((X592 @ X596)&![X597:$i]:(((X592 @ X597)=>((X596)=(X597))))))=>(?[X598:$i]:(((X593 @ X598)&![X599:$i]:(((X593 @ X599)=>((X598)=(X599))))))=>((descr @ X592)=(descr @ X593))))))=>(![X481:$i, X482:$i]:((((X481)=(X482))=>![X483:$i > $o, X484:$i > $o]:((![X485:$i]:(((in @ X485 @ X481)=>![X486:$i]:(((in @ X486 @ X482)=>(((X485)=(X486))=>((X483 @ X485)<=>(X484 @ X486)))))))=>((dsetconstr @ X481 @ X483)=(dsetconstr @ X482 @ X484))))))=>(![X487:$i, X488:$i]:((![X489:$i]:(((in @ X489 @ X487)=>(in @ X489 @ X488)))=>(subset @ X487 @ X488)))=>(![X490:$i, X491:$i]:((((X490)=(X491))=>(subset @ X491 @ X490)))=>(![X590:$i, X591:$i]:((((X590)=(X591))=>(subset @ X590 @ X591)))=>(![X492:$i, X493:$i]:((![X494:$i]:(((in @ X494 @ X492)=>(in @ X494 @ X493)))=>(subset @ X492 @ X493)))=>(![X495:$i]:((subset @ emptyset @ X495))=>(![X496:$i, X497:$i, X498:$i]:(((subset @ X496 @ X497)=>((in @ X498 @ X496)=>(in @ X498 @ X497))))=>(![X499:$i, X500:$i, X501:$i]:(((subset @ X499 @ X500)=>(~(in @ X501 @ X500)=>~(in @ X501 @ X499))))=>(![X587:$i, X588:$i, X589:$i]:(((in @ X589 @ X587)=>(~(in @ X589 @ X588)=>~(subset @ X587 @ X588))))=>(![X585:$i, X586:$i]:((~(subset @ X585 @ X586)=>((X585)!=(X586))))=>(![X582:$i, X583:$i, X584:$i]:(((in @ X584 @ X582)=>(~(in @ X584 @ X583)=>((X582)!=(X583)))))=>(![X581:$i]:((subset @ X581 @ X581))=>(![X578:$i, X579:$i, X580:$i]:(((subset @ X578 @ X579)=>((subset @ X579 @ X580)=>(subset @ X578 @ X580))))=>(![X576:$i, X577:$i]:((subset @ X577 @ (setadjoin @ X576 @ X577)))=>(![X502:$i, X503:$i, X504:$i]:(((subset @ X502 @ X504)=>(subset @ X502 @ (setadjoin @ X503 @ X504))))=>(![X574:$i, X575:$i]:(((subset @ X574 @ X575)=>(in @ X574 @ (powerset @ X575))))=>(![X572:$i, X573:$i]:(((subset @ X572 @ X573)=>((subset @ X573 @ X572)=>((X572)=(X573)))))=>(![X505:$i]:(((subset @ X505 @ emptyset)=>((X505)=(emptyset))))=>(![X570:$i, X571:$i]:(((subset @ X571 @ X570)=>(in @ X571 @ (powerset @ X570))))=>(![X568:$i, X569:$i]:(((in @ X569 @ (powerset @ X568))=>(subset @ X569 @ X568)))=>(![X506:$i]:((in @ X506 @ (powerset @ X506)))=>(![X507:$i, X508:$i]:(((subset @ X507 @ X508)=>(subset @ (powerset @ X507) @ (powerset @ X508))))=>(![X566:$i, X567:$i > $o]:((in @ (dsetconstr @ X566 @ X567) @ (powerset @ X566)))=>(![X509:$i, X510:$i > $o]:((subset @ (dsetconstr @ X509 @ X510) @ X509))=>(![X511:$i, X512:$i, X513:$i]:(((in @ X513 @ X511)=>(in @ X513 @ (binunion @ X511 @ X512))))=>(![X514:$i, X515:$i]:((in @ X515 @ (setadjoin @ X514 @ (setadjoin @ X515 @ emptyset))))=>(![X563:$i, X564:$i, X565:$i]:(((in @ X565 @ X564)=>(in @ X565 @ (binunion @ X563 @ X564))))=>(![X516:$i, X517:$i, X518:$i, X519:$o]:(((in @ X518 @ (binunion @ X516 @ X517))=>(((in @ X518 @ X516)=>(X519))=>(((in @ X518 @ X517)=>(X519))=>(X519)))))=>(![X520:$i, X521:$i, X522:$i]:(((in @ X522 @ (binunion @ X520 @ X521))=>((in @ X522 @ X520)|(in @ X522 @ X521))))=>(![X561:$i, X562:$i]:((subset @ X561 @ (binunion @ X561 @ X562)))=>(![X559:$i, X560:$i]:((subset @ X560 @ (binunion @ X559 @ X560)))=>(![X556:$i, X557:$i, X558:$i]:(((in @ X558 @ X556)=>((in @ X558 @ X557)=>(in @ X558 @ (binintersect @ X556 @ X557)))))=>(![X523:$i, X524:$i, X525:$i]:(((subset @ X525 @ X523)=>((subset @ X525 @ X524)=>(subset @ X525 @ (binintersect @ X523 @ X524)))))=>(![X553:$i, X554:$i, X555:$i]:(((in @ X555 @ (binintersect @ X553 @ X554))=>(in @ X555 @ X553)))=>(![X526:$i, X527:$i]:((subset @ (binintersect @ X526 @ X527) @ X526))=>(![X528:$i, X529:$i]:(((subset @ X528 @ X529)=>((binintersect @ X528 @ X529)=(X528))))=>(![X551:$i, X552:$i]:((((binintersect @ X551 @ X552)=(X552))=>(subset @ X552 @ X551)))=>(![X548:$i, X549:$i, X550:$i]:(((in @ X550 @ (binintersect @ X548 @ X549))=>(in @ X550 @ X549)))=>(![X545:$i, X546:$i]:((~(?[X547:$i]:(((in @ X547 @ X545)&(in @ X547 @ X546))))=>((binintersect @ X545 @ X546)=(emptyset))))=>(![X530:$i, X531:$i]:((subset @ (binintersect @ X530 @ X531) @ X531))=>(![X532:$i, X533:$i]:(((subset @ X533 @ X532)=>((binintersect @ X532 @ X533)=(X533))))=>(![X534:$i, X535:$i]:((((binintersect @ X534 @ X535)=(X534))=>(subset @ X534 @ X535)))=>(![X542:$i, X543:$i, X544:$i]:(((binintersect @ X542 @ (binunion @ X543 @ X544))=(binunion @ (binintersect @ X542 @ X543) @ (binintersect @ X542 @ X544))))=>(![X536:$i, X537:$i, X538:$i]:(((in @ X538 @ X536)=>(~(in @ X538 @ X537)=>(in @ X538 @ (setminus @ X536 @ X537)))))=>(![X539:$i, X540:$i, X541:$i]:(((in @ X541 @ (setminus @ X539 @ X540))=>(in @ X541 @ X539)))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~(in @ X2 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_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)],[setminusER]), setextAx]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), inCongP]), c_0_138]), noeltsimpempty]), c_0_139]), prop2setE]), c_0_140]), c_0_141]), c_0_142]), wellorderingAx]), c_0_143]), setadjoin__Cong]), omegaIndAx]), omegaSAx]), powersetAx]), prop2set2propI]), setadjoinAx]), omega__Cong]), emptysetAx]), c_0_144]), c_0_145]), subsetI1]), eqimpsubset2]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), setadjoinSub2]), subsetemptysetimpeq]), notdallE]), inPowerset]), powersetsubset]), c_0_146]), binunionIL]), upairset2IR]), binunionEcases]), binunionE]), binintersectSubset5]), binintersectLsub]), binintersectSubset2]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), setminusI]), setminusEL]), c_0_147]), bs114d]), disjointsetsI1]), binintersectER]), binintersectSubset3]), binintersectEL]), binintersectI]), binunionRsub]), binunionLsub]), binunionIR]), c_0_148]), powersetE1]), powersetI1]), setextsub]), subset2powerset]), setadjoinSub]), subsetTrans]), subsetRefl]), notequalI2]), notequalI1]), notsubsetI]), eqimpsubset1]), c_0_149]), setunion__Cong]), powerset__Cong]), emptyset__Cong]), in__Cong]), c_0_150]), notdexE]), prop2setI]), quantDeMorgan3]), quantDeMorgan1]), vacuousDall]), upairsetIL]), singletonsswitch]), eqinunit]), notinsingleton]), uniqinunit]), c_0_151]), setunionE]), c_0_152]), c_0_153]), quantDeMorgan4]), quantDeMorgan2]), c_0_154]), upairsetIR]), upairsetE]), c_0_155]), subPowSU]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), setadjoinIL]), c_0_156]), c_0_157]), c_0_158]), emptyI]), setext]), c_0_159]), notinemptyset]), emptysetimpfalse]), emptysetE]), c_0_160]), c_0_161]), c_0_162]), foundationAx]), omega0Ax]), setunionAx])])]), c_0_163])).
0.84/180.04	thf(c_0_165, plain, ![X713:$i, X714:$i]:(((setminus @ X713 @ X714)=(dsetconstr @ X713 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X714))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[setminus])])).
0.84/180.04	thf(c_0_166, negated_conjecture, ![X715:$i, X716:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$i, X723:$i, X724:$i, X725:$i, X726:$i, X728:$i, X729:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X737:$i, X738:$i > $i > $o, X739:$i, X741:$i, X744:$i, X746:$i, X747:$i, X748:$i, X749:$i, X751:$i, X752:$i > $o, X753:$i, X755:$i, X756:$i > $o, X757:$i, X758:$i, X759:$i > $o, X760:$i, X761:$i, X762:$i > $o, X763:$i, X764:$i > $o, X765:$i, X768:$i, X769:$o, X770:$i, X771:$i, X772:$o, X773:$i, X774:$i, X775:$i > $o, X776:$i, X779:$i, X780:$i, X783:$i, X785:$i, X787:$i, X788:$i > $o, X789:$i, X790:$i, X792:$i, X793:$i > $o, X794:$i, X795:$i, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$o, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i, X822:$i, X823:$o, X825:$i, X826:$i, X827:$i > $o, X828:$i, X831:$i, X832:$i, X833:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i > $o, X852:$i, X853:$i > $o, X854:$i, X855:$i, X856:$i > $o, X857:$i, X859:$i, X860:$i > $o, X862:$i, X863:$i, X864:$i > $o, X866:$i, X867:$i, X868:$i > $o, X869:$i, X871:$o, X872:$o, X873:$i, X874:$i > $o, X876:$i, X877:$i, X878:$i > $o, X879:$i, X881:$i > $o, X882:$i, X885:$i, X886:$i > $o, X887:$i, X891:$i, X892:$i > $o, X893:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i > $o, X906:$i, X908:$i, X909:$i, X910:$i > $o, X911:$i > $o, X914:$i, X917:$i, X918:$i, X921:$i, X922:$i, X923:$i, X924:$i, X925:$i, X926:$i, X927:$i, X928:$i, X929:$i, X930:$i > $o, X931:$i, X933:$i, X934:$i, X935:$i > $o, X936:$i > $o, X939:$i, X941:$i, X943:$i, X944:$i, X945:$i > $o, X946:$i > $o, X949:$i, X950:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X967:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i > $o, X997:$i, X998:$i > $o, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$o, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i]:((((~(in @ (esk1_2 @ X715 @ X716) @ X715)|~(in @ (esk1_2 @ X715 @ X716) @ X716)|((X715)=(X716)))&((in @ (esk1_2 @ X715 @ X716) @ X715)|(in @ (esk1_2 @ X715 @ X716) @ X716)|((X715)=(X716))))&(~(in @ X718 @ emptyset)&(((~(in @ X721 @ (setadjoin @ X719 @ X720))|(((X721)=(X719))|(in @ X721 @ X720)))&((((X721)!=(X719))|(in @ X721 @ (setadjoin @ X719 @ X720)))&(~(in @ X721 @ X720)|(in @ X721 @ (setadjoin @ X719 @ X720)))))&(((~(in @ X723 @ (powerset @ X722))|(~(in @ X724 @ X723)|(in @ X724 @ X722)))&(((in @ (esk2_2 @ X725 @ X726) @ X726)|(in @ X726 @ (powerset @ X725)))&(~(in @ (esk2_2 @ X725 @ X726) @ X725)|(in @ X726 @ (powerset @ X725)))))&(((((in @ X729 @ (esk3_2 @ X728 @ X729))|~(in @ X729 @ (setunion @ X728)))&((in @ (esk3_2 @ X728 @ X729) @ X728)|~(in @ X729 @ (setunion @ X728))))&(~(in @ X732 @ X733)|~(in @ X733 @ X731)|(in @ X732 @ (setunion @ X731))))&((in @ emptyset @ omega)&((~(in @ X734 @ omega)|(in @ (setadjoin @ X734 @ X734) @ omega))&(((((in @ (esk4_1 @ X735) @ omega)|~(in @ emptyset @ X735)|(~(in @ X737 @ omega)|(in @ X737 @ X735)))&((in @ (esk4_1 @ X735) @ X735)|~(in @ emptyset @ X735)|(~(in @ X737 @ omega)|(in @ X737 @ X735))))&(~(in 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X911))))))&((((X910 @ (esk44_2 @ X910 @ X911))|((X911 @ (esk43_3 @ X910 @ X911 @ X918))|~(X911 @ X918))|((X910 @ (esk39_2 @ X910 @ X911))|(X911 @ (esk40_2 @ X910 @ X911))))&(~(X910 @ X921)|((esk44_2 @ X910 @ X911)=(X921))|((X911 @ (esk43_3 @ X910 @ X911 @ X918))|~(X911 @ X918))|((X910 @ (esk39_2 @ X910 @ X911))|(X911 @ (esk40_2 @ X910 @ X911)))))&(((X910 @ (esk44_2 @ X910 @ X911))|(((X918)!=(esk43_3 @ X910 @ X911 @ X918))|~(X911 @ X918))|((X910 @ (esk39_2 @ X910 @ X911))|(X911 @ (esk40_2 @ X910 @ X911))))&(~(X910 @ X921)|((esk44_2 @ X910 @ X911)=(X921))|(((X918)!=(esk43_3 @ X910 @ X911 @ X918))|~(X911 @ X918))|((X910 @ (esk39_2 @ X910 @ X911))|(X911 @ (esk40_2 @ X910 @ X911)))))))))&(((emptyset)=(emptyset))&((((X922)!=(X923))|(((X924)!=(X925))|((setadjoin @ X922 @ X924)=(setadjoin @ X923 @ X925))))&((((X926)!=(X927))|((powerset @ X926)=(powerset @ X927)))&((((X928)!=(X929))|((setunion @ X928)=(setunion @ X929)))&(((omega)=(omega))&((((X930 @ (esk45_2 @ X930 @ X931))|~(X930 @ X931)|(~(X930 @ X933)|(~(X930 @ X934)|((X933)=(X934)))))&(((X931)!=(esk45_2 @ X930 @ X931))|~(X930 @ X931)|(~(X930 @ X933)|(~(X930 @ X934)|((X933)=(X934))))))&((((((X936 @ (esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|((X935 @ (esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|((esk46_2 @ X935 @ X936)=(esk47_2 @ X935 @ X936)))&(((X941)!=(esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|((X935 @ (esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|((esk46_2 @ X935 @ X936)=(esk47_2 @ X935 @ X936))))&(((X936 @ (esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|(((X939)!=(esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|((esk46_2 @ X935 @ X936)=(esk47_2 @ X935 @ X936)))&(((X941)!=(esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|(((X939)!=(esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|((esk46_2 @ X935 @ X936)=(esk47_2 @ X935 @ X936)))))&(((((X936 @ (esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|((X935 @ (esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|(~(X935 @ (esk46_2 @ X935 @ X936))|~(X936 @ (esk47_2 @ X935 @ X936))))&(((X941)!=(esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|((X935 @ (esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|(~(X935 @ (esk46_2 @ X935 @ X936))|~(X936 @ (esk47_2 @ X935 @ X936)))))&(((X936 @ (esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|(((X939)!=(esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|(~(X935 @ (esk46_2 @ X935 @ X936))|~(X936 @ (esk47_2 @ X935 @ X936))))&(((X941)!=(esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|(((X939)!=(esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|(~(X935 @ (esk46_2 @ X935 @ X936))|~(X936 @ (esk47_2 @ X935 @ X936))))))&((((X936 @ (esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|((X935 @ (esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|((X935 @ (esk46_2 @ X935 @ X936))|(X936 @ (esk47_2 @ X935 @ X936))))&(((X941)!=(esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|((X935 @ (esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|((X935 @ (esk46_2 @ X935 @ X936))|(X936 @ (esk47_2 @ X935 @ X936)))))&(((X936 @ (esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|(((X939)!=(esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|((X935 @ (esk46_2 @ X935 @ X936))|(X936 @ (esk47_2 @ X935 @ X936))))&(((X941)!=(esk49_3 @ X935 @ X936 @ X941))|~(X936 @ X941)|((descr @ X935)=(descr @ X936))|(((X939)!=(esk48_3 @ X935 @ X936 @ X939))|~(X935 @ X939))|((X935 @ (esk46_2 @ X935 @ X936))|(X936 @ (esk47_2 @ X935 @ X936))))))))&((((in @ (esk50_4 @ X943 @ X944 @ X945 @ X946) @ X943)|((dsetconstr @ X943 @ X945)=(dsetconstr @ X944 @ X946))|((X943)!=(X944)))&(((in @ (esk51_4 @ X943 @ X944 @ X945 @ X946) @ X944)|((dsetconstr @ X943 @ X945)=(dsetconstr @ X944 @ X946))|((X943)!=(X944)))&((((esk50_4 @ X943 @ X944 @ X945 @ X946)=(esk51_4 @ X943 @ X944 @ X945 @ X946))|((dsetconstr @ X943 @ X945)=(dsetconstr @ X944 @ X946))|((X943)!=(X944)))&((~(X945 @ (esk50_4 @ X943 @ X944 @ X945 @ X946))|~(X946 @ (esk51_4 @ X943 @ X944 @ X945 @ X946))|((dsetconstr @ X943 @ X945)=(dsetconstr @ X944 @ X946))|((X943)!=(X944)))&((X945 @ (esk50_4 @ X943 @ X944 @ X945 @ X946))|(X946 @ (esk51_4 @ X943 @ X944 @ X945 @ X946))|((dsetconstr @ X943 @ X945)=(dsetconstr @ X944 @ X946))|((X943)!=(X944)))))))&((((in @ (esk52_2 @ X949 @ X950) @ X949)|(subset @ X949 @ X950))&(~(in @ (esk52_2 @ X949 @ X950) @ X950)|(subset @ X949 @ X950)))&((((X952)!=(X953))|(subset @ X953 @ X952))&((((X954)!=(X955))|(subset @ X954 @ X955))&((((in @ (esk53_2 @ X956 @ X957) @ X956)|(subset @ X956 @ X957))&(~(in @ (esk53_2 @ X956 @ X957) @ X957)|(subset @ X956 @ X957)))&((subset @ emptyset @ X959)&((~(subset @ X960 @ X961)|(~(in @ X962 @ X960)|(in @ X962 @ X961)))&((~(subset @ X963 @ X964)|((in @ X965 @ X964)|~(in @ X965 @ X963)))&((~(in @ X968 @ X966)|((in @ X968 @ X967)|~(subset @ X966 @ X967)))&(((subset @ X969 @ X970)|((X969)!=(X970)))&((~(in @ X973 @ X971)|((in @ X973 @ X972)|((X971)!=(X972))))&((subset @ X974 @ X974)&((~(subset @ X975 @ X976)|(~(subset @ X976 @ X977)|(subset @ X975 @ X977)))&((subset @ X979 @ (setadjoin @ X978 @ X979))&((~(subset @ X980 @ X982)|(subset @ X980 @ (setadjoin @ X981 @ X982)))&((~(subset @ X983 @ X984)|(in @ X983 @ (powerset @ X984)))&((~(subset @ X985 @ X986)|(~(subset @ X986 @ X985)|((X985)=(X986))))&((~(subset @ X987 @ emptyset)|((X987)=(emptyset)))&((~(subset @ X989 @ X988)|(in @ X989 @ (powerset @ X988)))&((~(in @ X991 @ (powerset @ X990))|(subset @ X991 @ X990))&((in @ X992 @ (powerset @ X992))&((~(subset @ X993 @ X994)|(subset @ (powerset @ X993) @ (powerset @ X994)))&((in @ (dsetconstr @ X995 @ X996) @ (powerset @ X995))&((subset @ (dsetconstr @ X997 @ X998) @ X997)&((~(in @ X1001 @ X999)|(in @ X1001 @ (binunion @ X999 @ X1000)))&((in @ X1003 @ (setadjoin @ X1002 @ (setadjoin @ X1003 @ emptyset)))&((~(in @ X1006 @ X1005)|(in @ X1006 @ (binunion @ X1004 @ X1005)))&(((((in @ X1009 @ X1008)|(X1010)|(in @ X1009 @ X1007)|~(in @ X1009 @ (binunion @ X1007 @ X1008)))&(~(X1010)|(X1010)|(in @ X1009 @ X1007)|~(in @ X1009 @ (binunion @ X1007 @ X1008))))&(((in @ X1009 @ X1008)|(X1010)|~(X1010)|~(in @ X1009 @ (binunion @ X1007 @ X1008)))&(~(X1010)|(X1010)|~(X1010)|~(in @ X1009 @ (binunion @ X1007 @ X1008)))))&((~(in @ X1013 @ (binunion @ X1011 @ X1012))|((in @ X1013 @ X1011)|(in @ X1013 @ X1012)))&((subset @ X1014 @ (binunion @ X1014 @ X1015))&((subset @ X1017 @ (binunion @ X1016 @ X1017))&((~(in @ X1020 @ X1018)|(~(in @ X1020 @ X1019)|(in @ X1020 @ (binintersect @ X1018 @ X1019))))&((~(subset @ X1023 @ X1021)|(~(subset @ X1023 @ X1022)|(subset @ X1023 @ (binintersect @ X1021 @ X1022))))&((~(in @ X1026 @ (binintersect @ X1024 @ X1025))|(in @ X1026 @ X1024))&((subset @ (binintersect @ X1027 @ X1028) @ X1027)&((~(subset @ X1029 @ X1030)|((binintersect @ X1029 @ X1030)=(X1029)))&((((binintersect @ X1031 @ X1032)!=(X1032))|(subset @ X1032 @ X1031))&((~(in @ X1035 @ (binintersect @ X1033 @ X1034))|(in @ X1035 @ X1034))&((((in @ (esk54_2 @ X1036 @ X1037) @ X1036)|((binintersect @ X1036 @ X1037)=(emptyset)))&((in @ (esk54_2 @ X1036 @ X1037) @ X1037)|((binintersect @ X1036 @ X1037)=(emptyset))))&((subset @ (binintersect @ X1039 @ X1040) @ X1040)&((~(subset @ X1042 @ X1041)|((binintersect @ X1041 @ X1042)=(X1042)))&((((binintersect @ X1043 @ X1044)!=(X1043))|(subset @ X1043 @ X1044))&(((binintersect @ X1045 @ (binunion @ X1046 @ X1047))=(binunion @ (binintersect @ X1045 @ X1046) @ (binintersect @ X1045 @ X1047)))&((~(in @ X1050 @ X1048)|((in @ X1050 @ X1049)|(in @ X1050 @ (setminus @ X1048 @ X1049))))&((~(in @ X1053 @ (setminus @ X1051 @ X1052))|(in @ X1053 @ X1051))&((in @ esk57_0 @ (setminus @ esk55_0 @ esk56_0))&(in @ esk57_0 @ esk56_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_164])])])])])])])).
0.84/180.04	thf(c_0_167, plain, ![X1057:$i, X1058:$i]:(((setminus @ X1057 @ X1058)=(dsetconstr @ X1057 @ (^[Z0/* 7 */:$i]:(~((in @ Z0 @ X1058))))))), inference(variable_rename,[status(thm)],[c_0_165])).
0.84/180.04	thf(c_0_168, plain, ![X1079:$i, X3:$i]:(((epred3_1 @ X3 @ X1079)<=>~((in @ X1079 @ X3)))), introduced(definition)).
0.84/180.04	thf(c_0_169, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_166])).
0.84/180.04	thf(c_0_170, plain, ![X2:$i, X3:$i]:(((setminus @ X2 @ X3)=(dsetconstr @ X2 @ (epred3_1 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_167]), c_0_168])).
0.84/180.04	thf(c_0_171, plain, ![X1081:$i, X1082:$i]:(((~(epred3_1 @ X1082 @ X1081)|~(in @ X1081 @ X1082))&((in @ X1081 @ X1082)|(epred3_1 @ X1082 @ X1081)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])])).
0.84/180.04	thf(c_0_172, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((epred3_1 @ X2 @ X3)|~((in @ X3 @ (setminus @ X4 @ X2))))), inference(spm,[status(thm)],[c_0_169, c_0_170])).
0.84/180.04	thf(c_0_173, negated_conjecture, (in @ esk57_0 @ (setminus @ esk55_0 @ esk56_0)), inference(split_conjunct,[status(thm)],[c_0_166])).
0.84/180.04	thf(c_0_174, plain, ![X3:$i, X2:$i]:((~((epred3_1 @ X2 @ X3))|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_171])).
0.84/180.04	thf(c_0_175, negated_conjecture, (epred3_1 @ esk56_0 @ esk57_0), inference(spm,[status(thm)],[c_0_172, c_0_173])).
0.84/180.04	thf(c_0_176, negated_conjecture, (in @ esk57_0 @ esk56_0), inference(split_conjunct,[status(thm)],[c_0_166])).
0.84/180.04	thf(c_0_177, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174, c_0_175]), c_0_176])]), ['proof']).
0.84/180.04	# SZS output end CNFRefutation
0.84/180.04	# Parsed axioms                        : 261
0.84/180.04	# Removed by relevancy pruning/SinE    : 138
0.84/180.04	# Initial clauses                      : 240
0.84/180.04	# Removed in clause preprocessing      : 18
0.84/180.04	# Initial clauses in saturation        : 222
0.84/180.04	# Processed clauses                    : 367
0.84/180.04	# ...of these trivial                  : 10
0.84/180.04	# ...subsumed                          : 33
0.84/180.04	# ...remaining for further processing  : 324
0.84/180.04	# Other redundant clauses eliminated   : 18
0.84/180.04	# Clauses deleted for lack of memory   : 0
0.84/180.04	# Backward-subsumed                    : 1
0.84/180.04	# Backward-rewritten                   : 1
0.84/180.04	# Generated clauses                    : 514
0.84/180.04	# ...of the previous two non-redundant : 415
0.84/180.04	# ...aggressively subsumed             : 0
0.84/180.04	# Contextual simplify-reflections      : 0
0.84/180.04	# Paramodulations                      : 491
0.84/180.04	# Factorizations                       : 2
0.84/180.04	# NegExts                              : 1
0.84/180.04	# Equation resolutions                 : 18
0.84/180.04	# Disequality decompositions           : 0
0.84/180.04	# Total rewrite steps                  : 112
0.84/180.04	# ...of those cached                   : 74
0.84/180.04	# Propositional unsat checks           : 0
0.84/180.04	#    Propositional check models        : 0
0.84/180.04	#    Propositional check unsatisfiable : 0
0.84/180.04	#    Propositional clauses             : 0
0.84/180.04	#    Propositional clauses after purity: 0
0.84/180.04	#    Propositional unsat core size     : 0
0.84/180.04	#    Propositional preprocessing time  : 0.000
0.84/180.04	#    Propositional encoding time       : 0.000
0.84/180.04	#    Propositional solver time         : 0.000
0.84/180.04	#    Success case prop preproc time    : 0.000
0.84/180.04	#    Success case prop encoding time   : 0.000
0.84/180.04	#    Success case prop solver time     : 0.000
0.84/180.04	# Current number of processed clauses  : 114
0.84/180.04	#    Positive orientable unit clauses  : 50
0.84/180.04	#    Positive unorientable unit clauses: 0
0.84/180.04	#    Negative unit clauses             : 1
0.84/180.04	#    Non-unit-clauses                  : 63
0.84/180.04	# Current number of unprocessed clauses: 465
0.84/180.04	# ...number of literals in the above   : 1284
0.84/180.04	# Current number of archived formulas  : 0
0.84/180.04	# Current number of archived clauses   : 197
0.84/180.04	# Clause-clause subsumption calls (NU) : 5830
0.84/180.04	# Rec. Clause-clause subsumption calls : 1750
0.84/180.04	# Non-unit clause-clause subsumptions  : 23
0.84/180.04	# Unit Clause-clause subsumption calls : 70
0.84/180.04	# Rewrite failures with RHS unbound    : 0
0.84/180.04	# BW rewrite match attempts            : 10
0.84/180.04	# BW rewrite match successes           : 2
0.84/180.04	# Condensation attempts                : 0
0.84/180.04	# Condensation successes               : 0
0.84/180.04	# Termbank termtop insertions          : 37286
0.84/180.04	# Search garbage collected termcells   : 12078
0.84/180.04	
0.84/180.04	# -------------------------------------------------
0.84/180.04	# User time                : 0.055 s
0.84/180.04	# System time              : 0.011 s
0.84/180.04	# Total time               : 0.065 s
0.84/180.04	# Maximum resident set size: 5028 pages
0.84/180.04	
0.84/180.04	# -------------------------------------------------
0.84/180.04	# User time                : 0.059 s
0.84/180.04	# System time              : 0.016 s
0.84/180.04	# Total time               : 0.075 s
0.84/180.04	# Maximum resident set size: 2060 pages
0.84/180.04	% E---3.1 exiting
0.84/180.04	% E exiting
0.84/180.04	EOF