0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.32	% Computer : n020.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 1920
0.12/0.32	% WCLimit    : 240
0.12/0.32	% DateTime   : Wed Jul 30 06:56:19 EDT 2025
0.12/0.32	% CPUTime    : 
0.20/0.46	Running higher-order theorem proving
0.20/0.49	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=240 /export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p
29.93/4.35	# Version: 3.0.0-ho
29.93/4.35	# Preprocessing class: HSLMSLSSLLLCHFA.
29.93/4.35	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
29.93/4.35	# Starting ehoh_best5 with 240s (1) cores
29.93/4.35	# Starting almost_fo_3_lam with 240s (1) cores
29.93/4.35	# Starting new_bool_5 with 240s (1) cores
29.93/4.35	# Starting pre_casc_3 with 240s (1) cores
29.93/4.35	# Starting ho_unfolding_8 with 240s (1) cores
29.93/4.35	# Starting new_ho_10_cnf2 with 240s (1) cores
29.93/4.35	# Starting new_bool_3 with 240s (1) cores
29.93/4.35	# Starting new_ho_5 with 240s (1) cores
29.93/4.35	# new_bool_3 with pid 21704 completed with status 0
29.93/4.35	# Result found by new_bool_3
29.93/4.35	# Preprocessing class: HSLMSLSSLLLCHFA.
29.93/4.35	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
29.93/4.35	# Starting ehoh_best5 with 240s (1) cores
29.93/4.35	# Starting almost_fo_3_lam with 240s (1) cores
29.93/4.35	# Starting new_bool_5 with 240s (1) cores
29.93/4.35	# Starting pre_casc_3 with 240s (1) cores
29.93/4.35	# Starting ho_unfolding_8 with 240s (1) cores
29.93/4.35	# Starting new_ho_10_cnf2 with 240s (1) cores
29.93/4.35	# Starting new_bool_3 with 240s (1) cores
29.93/4.35	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
29.93/4.35	# Search class: HGHSM-FSLM31-SHFMMSBN
29.93/4.35	# Scheduled 5 strats onto 1 cores with 240 seconds (240 total)
29.93/4.35	# Starting ehoh_best3 with 145s (1) cores
29.93/4.35	# ehoh_best3 with pid 21709 completed with status 0
29.93/4.35	# Result found by ehoh_best3
29.93/4.35	# Preprocessing class: HSLMSLSSLLLCHFA.
29.93/4.35	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
29.93/4.35	# Starting ehoh_best5 with 240s (1) cores
29.93/4.35	# Starting almost_fo_3_lam with 240s (1) cores
29.93/4.35	# Starting new_bool_5 with 240s (1) cores
29.93/4.35	# Starting pre_casc_3 with 240s (1) cores
29.93/4.35	# Starting ho_unfolding_8 with 240s (1) cores
29.93/4.35	# Starting new_ho_10_cnf2 with 240s (1) cores
29.93/4.35	# Starting new_bool_3 with 240s (1) cores
29.93/4.35	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
29.93/4.35	# Search class: HGHSM-FSLM31-SHFMMSBN
29.93/4.35	# Scheduled 5 strats onto 1 cores with 240 seconds (240 total)
29.93/4.35	# Starting ehoh_best3 with 145s (1) cores
29.93/4.35	# Preprocessing time       : 0.004 s
29.93/4.35	# Presaturation interreduction done
29.93/4.35	
29.93/4.35	# Proof found!
29.93/4.35	# SZS status Theorem
29.93/4.35	# SZS output start CNFRefutation
29.93/4.35	thf(decl_23, type, in: $i > $i > $o).
29.93/4.35	thf(decl_24, type, exu: ($i > $o) > $o).
29.93/4.35	thf(decl_25, type, setextAx: $o).
29.93/4.35	thf(decl_26, type, emptyset: $i).
29.93/4.35	thf(decl_27, type, emptysetAx: $o).
29.93/4.35	thf(decl_28, type, setadjoin: $i > $i > $i).
29.93/4.35	thf(decl_29, type, setadjoinAx: $o).
29.93/4.35	thf(decl_30, type, powerset: $i > $i).
29.93/4.35	thf(decl_31, type, powersetAx: $o).
29.93/4.35	thf(decl_32, type, setunion: $i > $i).
29.93/4.35	thf(decl_33, type, setunionAx: $o).
29.93/4.35	thf(decl_34, type, omega: $i).
29.93/4.35	thf(decl_35, type, omega0Ax: $o).
29.93/4.35	thf(decl_36, type, omegaSAx: $o).
29.93/4.35	thf(decl_37, type, omegaIndAx: $o).
29.93/4.35	thf(decl_38, type, replAx: $o).
29.93/4.35	thf(decl_39, type, foundationAx: $o).
29.93/4.35	thf(decl_40, type, wellorderingAx: $o).
29.93/4.35	thf(decl_41, type, descr: ($i > $o) > $i).
29.93/4.35	thf(decl_42, type, descrp: $o).
29.93/4.35	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
29.93/4.35	thf(decl_44, type, dsetconstrI: $o).
29.93/4.35	thf(decl_45, type, dsetconstrEL: $o).
29.93/4.35	thf(decl_46, type, dsetconstrER: $o).
29.93/4.35	thf(decl_47, type, exuE1: $o).
29.93/4.35	thf(decl_48, type, prop2set: $o > $i).
29.93/4.35	thf(decl_49, type, prop2setE: $o).
29.93/4.35	thf(decl_50, type, emptysetE: $o).
29.93/4.35	thf(decl_51, type, emptysetimpfalse: $o).
29.93/4.35	thf(decl_52, type, notinemptyset: $o).
29.93/4.35	thf(decl_53, type, exuE3e: $o).
29.93/4.35	thf(decl_54, type, setext: $o).
29.93/4.35	thf(decl_55, type, emptyI: $o).
29.93/4.35	thf(decl_56, type, noeltsimpempty: $o).
29.93/4.35	thf(decl_57, type, setbeta: $o).
29.93/4.35	thf(decl_58, type, nonempty: $i > $o).
29.93/4.35	thf(decl_59, type, nonemptyE1: $o).
29.93/4.35	thf(decl_60, type, nonemptyI: $o).
29.93/4.35	thf(decl_61, type, nonemptyI1: $o).
29.93/4.35	thf(decl_62, type, setadjoinIL: $o).
29.93/4.35	thf(decl_63, type, emptyinunitempty: $o).
29.93/4.35	thf(decl_64, type, setadjoinIR: $o).
29.93/4.35	thf(decl_65, type, setadjoinE: $o).
29.93/4.35	thf(decl_66, type, setadjoinOr: $o).
29.93/4.35	thf(decl_67, type, setoftrueEq: $o).
29.93/4.35	thf(decl_68, type, powersetI: $o).
29.93/4.35	thf(decl_69, type, emptyinPowerset: $o).
29.93/4.35	thf(decl_70, type, emptyInPowerset: $o).
29.93/4.35	thf(decl_71, type, powersetE: $o).
29.93/4.35	thf(decl_72, type, setunionI: $o).
29.93/4.35	thf(decl_73, type, setunionE: $o).
29.93/4.35	thf(decl_74, type, subPowSU: $o).
29.93/4.35	thf(decl_75, type, exuE2: $o).
29.93/4.35	thf(decl_76, type, nonemptyImpWitness: $o).
29.93/4.35	thf(decl_77, type, uniqinunit: $o).
29.93/4.35	thf(decl_78, type, notinsingleton: $o).
29.93/4.35	thf(decl_79, type, eqinunit: $o).
29.93/4.35	thf(decl_80, type, singletonsswitch: $o).
29.93/4.35	thf(decl_81, type, upairsetE: $o).
29.93/4.35	thf(decl_82, type, upairsetIL: $o).
29.93/4.35	thf(decl_83, type, upairsetIR: $o).
29.93/4.35	thf(decl_84, type, emptyE1: $o).
29.93/4.35	thf(decl_85, type, vacuousDall: $o).
29.93/4.35	thf(decl_86, type, quantDeMorgan1: $o).
29.93/4.35	thf(decl_87, type, quantDeMorgan2: $o).
29.93/4.35	thf(decl_88, type, quantDeMorgan3: $o).
29.93/4.35	thf(decl_89, type, quantDeMorgan4: $o).
29.93/4.35	thf(decl_90, type, prop2setI: $o).
29.93/4.35	thf(decl_92, type, prop2set2propI: $o).
29.93/4.35	thf(decl_93, type, notdexE: $o).
29.93/4.35	thf(decl_94, type, notdallE: $o).
29.93/4.35	thf(decl_95, type, exuI1: $o).
29.93/4.35	thf(decl_96, type, exuI3: $o).
29.93/4.35	thf(decl_97, type, exuI2: $o).
29.93/4.35	thf(decl_98, type, inCongP: $o).
29.93/4.35	thf(decl_99, type, in__Cong: $o).
29.93/4.35	thf(decl_100, type, exuE3u: $o).
29.93/4.35	thf(decl_101, type, exu__Cong: $o).
29.93/4.35	thf(decl_102, type, emptyset__Cong: $o).
29.93/4.35	thf(decl_103, type, setadjoin__Cong: $o).
29.93/4.35	thf(decl_104, type, powerset__Cong: $o).
29.93/4.35	thf(decl_105, type, setunion__Cong: $o).
29.93/4.35	thf(decl_106, type, omega__Cong: $o).
29.93/4.35	thf(decl_107, type, exuEu: $o).
29.93/4.35	thf(decl_108, type, descr__Cong: $o).
29.93/4.35	thf(decl_109, type, dsetconstr__Cong: $o).
29.93/4.35	thf(decl_110, type, subset: $i > $i > $o).
29.93/4.35	thf(decl_113, type, subsetI1: $o).
29.93/4.35	thf(decl_114, type, eqimpsubset2: $o).
29.93/4.35	thf(decl_115, type, eqimpsubset1: $o).
29.93/4.35	thf(decl_116, type, subsetI2: $o).
29.93/4.35	thf(decl_117, type, emptysetsubset: $o).
29.93/4.35	thf(decl_118, type, subsetE: $o).
29.93/4.35	thf(decl_119, type, subsetE2: $o).
29.93/4.35	thf(decl_120, type, notsubsetI: $o).
29.93/4.35	thf(decl_121, type, notequalI1: $o).
29.93/4.35	thf(decl_122, type, notequalI2: $o).
29.93/4.35	thf(decl_123, type, subsetRefl: $o).
29.93/4.35	thf(decl_124, type, subsetTrans: $o).
29.93/4.35	thf(decl_125, type, setadjoinSub: $o).
29.93/4.35	thf(decl_126, type, setadjoinSub2: $o).
29.93/4.35	thf(decl_127, type, subset2powerset: $o).
29.93/4.35	thf(decl_128, type, setextsub: $o).
29.93/4.35	thf(decl_129, type, subsetemptysetimpeq: $o).
29.93/4.35	thf(decl_130, type, powersetI1: $o).
29.93/4.35	thf(decl_131, type, powersetE1: $o).
29.93/4.35	thf(decl_132, type, inPowerset: $o).
29.93/4.35	thf(decl_133, type, powersetsubset: $o).
29.93/4.35	thf(decl_134, type, sepInPowerset: $o).
29.93/4.35	thf(decl_135, type, sepSubset: $o).
29.93/4.35	thf(decl_136, type, binunion: $i > $i > $i).
29.93/4.35	thf(decl_137, type, binunionIL: $o).
29.93/4.35	thf(decl_138, type, upairset2IR: $o).
29.93/4.35	thf(decl_139, type, binunionIR: $o).
29.93/4.35	thf(decl_140, type, binunionEcases: $o).
29.93/4.35	thf(decl_141, type, binunionE: $o).
29.93/4.35	thf(decl_142, type, binunionLsub: $o).
29.93/4.35	thf(decl_143, type, binunionRsub: $o).
29.93/4.35	thf(decl_144, type, binintersect: $i > $i > $i).
29.93/4.35	thf(decl_145, type, binintersectI: $o).
29.93/4.35	thf(decl_146, type, binintersectSubset5: $o).
29.93/4.35	thf(decl_147, type, binintersectEL: $o).
29.93/4.35	thf(decl_148, type, binintersectLsub: $o).
29.93/4.35	thf(decl_149, type, binintersectSubset2: $o).
29.93/4.35	thf(decl_150, type, binintersectSubset3: $o).
29.93/4.35	thf(decl_151, type, binintersectER: $o).
29.93/4.35	thf(decl_152, type, disjointsetsI1: $o).
29.93/4.35	thf(decl_153, type, binintersectRsub: $o).
29.93/4.35	thf(decl_154, type, binintersectSubset4: $o).
29.93/4.35	thf(decl_155, type, binintersectSubset1: $o).
29.93/4.35	thf(decl_156, type, bs114d: $o).
29.93/4.35	thf(decl_158, type, setminus: $i > $i > $i).
29.93/4.35	thf(decl_159, type, setminusI: $o).
29.93/4.35	thf(decl_160, type, setminusEL: $o).
29.93/4.35	thf(decl_161, type, setminusER: $o).
29.93/4.35	thf(decl_162, type, setminusSubset2: $o).
29.93/4.35	thf(decl_163, type, setminusERneg: $o).
29.93/4.35	thf(decl_164, type, setminusELneg: $o).
29.93/4.35	thf(decl_165, type, setminusILneg: $o).
29.93/4.35	thf(decl_166, type, setminusIRneg: $o).
29.93/4.35	thf(decl_167, type, setminusLsub: $o).
29.93/4.35	thf(decl_168, type, epred1_0: $o).
29.93/4.35	thf(decl_169, type, esk1_2: $i > $i > $i).
29.93/4.35	thf(decl_170, type, esk2_2: $i > $i > $i).
29.93/4.35	thf(decl_171, type, esk3_2: $i > $i > $i).
29.93/4.35	thf(decl_172, type, esk4_1: $i > $i).
29.93/4.35	thf(decl_173, type, esk5_2: ($i > $i > $o) > $i > $i).
29.93/4.35	thf(decl_174, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
29.93/4.35	thf(decl_175, type, esk7_2: ($i > $i > $o) > $i > $i).
29.93/4.35	thf(decl_176, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
29.93/4.35	thf(decl_177, type, esk9_1: $i > $i).
29.93/4.35	thf(decl_178, type, esk10_2: ($i > $o) > $i > $i).
29.93/4.35	thf(decl_179, type, esk11_2: ($i > $o) > $i > $i).
29.93/4.35	thf(decl_180, type, esk12_1: ($i > $o) > $i).
29.93/4.35	thf(decl_181, type, esk13_2: ($i > $o) > $i > $i).
29.93/4.35	thf(decl_182, type, esk14_1: ($i > $o) > $i).
29.93/4.35	thf(decl_183, type, esk15_2: $i > $i > $i).
29.93/4.35	thf(decl_184, type, esk16_2: $i > $i > $i).
29.93/4.35	thf(decl_185, type, esk17_1: $i > $i).
29.93/4.35	thf(decl_186, type, esk18_1: $i > $i).
29.93/4.35	thf(decl_187, type, esk19_1: $i > $i).
29.93/4.35	thf(decl_188, type, esk20_2: $i > $i > $i).
29.93/4.35	thf(decl_189, type, esk21_3: $i > $i > $o > $i).
29.93/4.35	thf(decl_190, type, esk22_2: ($i > $o) > $i > $i).
29.93/4.35	thf(decl_191, type, esk23_1: ($i > $o) > $i).
29.93/4.35	thf(decl_192, type, esk24_1: $i > $i).
29.93/4.35	thf(decl_193, type, esk25_2: $i > ($i > $o) > $i).
29.93/4.35	thf(decl_194, type, esk26_2: $i > ($i > $o) > $i).
29.93/4.35	thf(decl_195, type, esk27_2: $i > ($i > $o) > $i).
29.93/4.35	thf(decl_196, type, esk28_2: $i > ($i > $o) > $i).
29.93/4.35	thf(decl_197, type, esk29_2: $i > ($i > $o) > $i).
29.93/4.35	thf(decl_198, type, esk30_2: $i > ($i > $o) > $i).
29.93/4.35	thf(decl_199, type, esk31_2: ($i > $o) > $i > $i).
29.93/4.35	thf(decl_200, type, esk32_1: ($i > $o) > $i).
29.93/4.35	thf(decl_201, type, esk33_1: ($i > $o) > $i).
29.93/4.35	thf(decl_202, type, esk34_1: ($i > $o) > $i).
29.93/4.35	thf(decl_203, type, esk35_1: ($i > $o) > $i).
29.93/4.35	thf(decl_204, type, esk36_2: ($i > $o) > $i > $i).
29.93/4.35	thf(decl_205, type, esk37_1: ($i > $o) > $i).
29.93/4.35	thf(decl_206, type, esk38_2: ($i > $o) > $i > $i).
29.93/4.35	thf(decl_207, type, esk39_2: ($i > $o) > ($i > $o) > $i).
29.93/4.35	thf(decl_208, type, esk40_2: ($i > $o) > ($i > $o) > $i).
29.93/4.35	thf(decl_209, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
29.93/4.35	thf(decl_210, type, esk42_2: ($i > $o) > ($i > $o) > $i).
29.93/4.35	thf(decl_211, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
29.93/4.35	thf(decl_212, type, esk44_2: ($i > $o) > ($i > $o) > $i).
29.93/4.35	thf(decl_213, type, esk45_2: ($i > $o) > $i > $i).
29.93/4.35	thf(decl_214, type, esk46_2: ($i > $o) > ($i > $o) > $i).
29.93/4.35	thf(decl_215, type, esk47_2: ($i > $o) > ($i > $o) > $i).
29.93/4.35	thf(decl_216, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
29.93/4.35	thf(decl_217, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
29.93/4.35	thf(decl_218, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
29.93/4.35	thf(decl_219, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
29.93/4.35	thf(decl_220, type, esk52_2: $i > $i > $i).
29.93/4.35	thf(decl_221, type, esk53_2: $i > $i > $i).
29.93/4.35	thf(decl_222, type, esk54_2: $i > $i > $i).
29.93/4.35	thf(decl_223, type, esk55_0: $i).
29.93/4.35	thf(decl_224, type, esk56_0: $i).
29.93/4.35	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', nonempty)).
29.93/4.35	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', exuE3e)).
29.93/4.35	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', exu)).
29.93/4.35	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', descrp)).
29.93/4.35	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', exuEu)).
29.93/4.35	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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', replAx)).
29.93/4.35	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', descr__Cong)).
29.93/4.35	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', exuI2)).
29.93/4.35	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', exu__Cong)).
29.93/4.35	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', exuE3u)).
29.93/4.35	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', exuI3)).
29.93/4.35	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', exuI1)).
29.93/4.35	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.YXn4Dun75l/E---3.1_21618.p', exuE2)).
29.93/4.35	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', nonemptyI)).
29.93/4.35	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', exuE1)).
29.93/4.35	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', nonemptyE1)).
29.93/4.35	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', dsetconstrEL)).
29.93/4.35	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', sepInPowerset)).
29.93/4.35	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', dsetconstr__Cong)).
29.93/4.35	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setoftrueEq)).
29.93/4.35	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', sepSubset)).
29.93/4.35	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.YXn4Dun75l/E---3.1_21618.p', emptyE1)).
29.93/4.35	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', nonemptyImpWitness)).
29.93/4.35	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', nonemptyI1)).
29.93/4.35	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setbeta)).
29.93/4.35	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', dsetconstrER)).
29.93/4.35	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', dsetconstrI)).
29.93/4.35	thf(setminusSubset1, conjecture, (((emptysetAx)=>((setadjoinAx)=>(((((omegaSAx)=>((omegaIndAx)=>((((((dsetconstrI)=>(((dsetconstrER)=>((exuE1)=>((prop2setE)=>(((((((emptyI)=>(((setbeta)=>(((nonemptyI)=>((nonemptyI1)=>(((((setadjoinE)=>((((((emptyInPowerset)=>((((setunionE)=>(((exuE2)=>((((notinsingleton)=>((eqinunit)=>((((upairsetIL)=>((upairsetIR)=>(((vacuousDall)=>((((((prop2setI)=>((prop2set2propI)=>((((exuI1)=>((exuI3)=>(((inCongP)=>(((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>(((eqimpsubset2)=>(((subsetI2)=>((emptysetsubset)=>(((subsetE2)=>((notsubsetI)=>(((((subsetTrans)=>(((setadjoinSub2)=>((((subsetemptysetimpeq)=>((((inPowerset)=>(((sepInPowerset)=>((((upairset2IR)=>((binunionIR)=>((binunionEcases)=>(((binunionLsub)=>((binunionRsub)=>((binintersectI)=>(((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>(((((((binintersectSubset1)=>(((setminusI)=>((((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>(((setminusLsub)=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5))))<=(setminusIRneg))))))<=(setminusER))<=(setminusEL)))<=(bs114d)))<=(binintersectSubset4))<=(binintersectRsub))<=(disjointsetsI1))<=(binintersectER))<=(binintersectSubset3)))))<=(binintersectSubset5)))))<=(binunionE)))))<=(binunionIL))<=(sepSubset)))<=(powersetsubset)))<=(powersetE1))<=(powersetI1)))<=(setextsub))<=(subset2powerset)))<=(setadjoinSub)))<=(subsetRefl))<=(notequalI2))<=(notequalI1))))<=(subsetE))))<=(eqimpsubset1)))<=(subsetI1)))))<=(omega__Cong))<=(setunion__Cong)))))))<=(in__Cong)))<=(exuI2))))<=(notdallE))<=(notdexE))))<=(quantDeMorgan4))<=(quantDeMorgan3))<=(quantDeMorgan2))<=(quantDeMorgan1)))<=(emptyE1))))<=(upairsetE))<=(singletonsswitch))))<=(uniqinunit))<=(nonemptyImpWitness)))<=(subPowSU)))<=(setunionI))<=(powersetE)))<=(emptyinPowerset))<=(powersetI))<=(setoftrueEq))<=(setadjoinOr)))<=(setadjoinIR))<=(emptyinunitempty))<=(setadjoinIL))))<=(nonemptyE1)))<=(noeltsimpempty)))<=(setext))<=(exuE3e))<=(notinemptyset))<=(emptysetimpfalse))<=(emptysetE)))))<=(dsetconstrEL)))<=(descrp))<=(wellorderingAx))<=(foundationAx))<=(replAx))))<=(omega0Ax))<=(setunionAx))<=(powersetAx))))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setminusSubset1)).
29.93/4.35	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', subsetemptysetimpeq)).
29.93/4.35	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setextAx)).
29.93/4.35	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setadjoinOr)).
29.93/4.35	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setadjoinIR)).
29.93/4.35	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', emptyinunitempty)).
29.93/4.35	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', subsetI2)).
29.93/4.35	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setadjoinIL)).
29.93/4.35	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', emptysetsubset)).
29.93/4.35	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', noeltsimpempty)).
29.93/4.35	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setext)).
29.93/4.35	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', subsetE2)).
29.93/4.35	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', notinemptyset)).
29.93/4.35	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', emptysetimpfalse)).
29.93/4.35	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', notsubsetI)).
29.93/4.35	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', emptysetE)).
29.93/4.35	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', subsetTrans)).
29.93/4.35	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.YXn4Dun75l/E---3.1_21618.p', wellorderingAx)).
29.93/4.35	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.YXn4Dun75l/E---3.1_21618.p', foundationAx)).
29.93/4.35	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setadjoinSub2)).
29.93/4.35	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', omega0Ax)).
29.93/4.35	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setunionAx)).
29.93/4.35	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', powersetAx)).
29.93/4.35	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setminusERneg)).
29.93/4.35	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', inPowerset)).
29.93/4.35	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', upairset2IR)).
29.93/4.35	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binunionIR)).
29.93/4.35	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.YXn4Dun75l/E---3.1_21618.p', binunionEcases)).
29.93/4.35	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binunionLsub)).
29.93/4.35	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binunionRsub)).
29.93/4.35	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binintersectI)).
29.93/4.35	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binintersectEL)).
29.93/4.35	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binintersectLsub)).
29.93/4.35	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binintersectSubset2)).
29.93/4.35	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binintersectSubset1)).
29.93/4.35	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setminusI)).
29.93/4.35	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setminusSubset2)).
29.93/4.35	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setunionI)).
29.93/4.35	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', powersetE)).
29.93/4.35	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', emptyinPowerset)).
29.93/4.35	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', powersetI)).
29.93/4.35	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setminusELneg)).
29.93/4.35	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setminusILneg)).
29.93/4.35	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setminusLsub)).
29.93/4.35	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setminusIRneg)).
29.93/4.35	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setminusER)).
29.93/4.35	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setminusEL)).
29.93/4.35	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', bs114d)).
29.93/4.35	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binintersectSubset4)).
29.93/4.35	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binintersectRsub)).
29.93/4.35	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', disjointsetsI1)).
29.93/4.35	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', eqimpsubset2)).
29.93/4.35	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binintersectER)).
29.93/4.35	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binintersectSubset3)).
29.93/4.35	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binintersectSubset5)).
29.93/4.35	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binunionE)).
29.93/4.35	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', binunionIL)).
29.93/4.35	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', powersetsubset)).
29.93/4.35	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', powersetE1)).
29.93/4.35	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', powersetI1)).
29.93/4.35	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setextsub)).
29.93/4.35	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', subset2powerset)).
29.93/4.35	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setadjoinSub)).
29.93/4.35	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', subsetRefl)).
29.93/4.35	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', notequalI2)).
29.93/4.35	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', notequalI1)).
29.93/4.35	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', subsetE)).
29.93/4.35	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', eqimpsubset1)).
29.93/4.35	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', subsetI1)).
29.93/4.35	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', omega__Cong)).
29.93/4.35	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setunion__Cong)).
29.93/4.35	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.YXn4Dun75l/E---3.1_21618.p', in__Cong)).
29.93/4.35	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', notdallE)).
29.93/4.35	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', notdexE)).
29.93/4.35	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', quantDeMorgan4)).
29.93/4.35	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', quantDeMorgan3)).
29.93/4.35	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', quantDeMorgan2)).
29.93/4.35	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', quantDeMorgan1)).
29.93/4.35	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', upairsetE)).
29.93/4.35	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', singletonsswitch)).
29.93/4.35	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', uniqinunit)).
29.93/4.35	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', subPowSU)).
29.93/4.35	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', powerset__Cong)).
29.93/4.35	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.YXn4Dun75l/E---3.1_21618.p', setadjoin__Cong)).
29.93/4.35	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', emptyset__Cong)).
29.93/4.35	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.YXn4Dun75l/E---3.1_21618.p', inCongP)).
29.93/4.35	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', prop2setI)).
29.93/4.35	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', vacuousDall)).
29.93/4.35	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', upairsetIR)).
29.93/4.35	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', upairsetIL)).
29.93/4.35	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', eqinunit)).
29.93/4.35	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', notinsingleton)).
29.93/4.35	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.YXn4Dun75l/E---3.1_21618.p', setunionE)).
29.93/4.35	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', emptyInPowerset)).
29.93/4.35	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setadjoinE)).
29.93/4.35	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', emptyI)).
29.93/4.35	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', prop2setE)).
29.93/4.35	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.YXn4Dun75l/E---3.1_21618.p', omegaIndAx)).
29.93/4.35	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', omegaSAx)).
29.93/4.35	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', setadjoinAx)).
29.93/4.35	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.YXn4Dun75l/E---3.1_21618.p', emptysetAx)).
29.93/4.35	thf(c_0_128, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
29.93/4.35	thf(c_0_129, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
29.93/4.35	thf(c_0_130, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
29.93/4.35	thf(c_0_131, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
29.93/4.35	thf(c_0_132, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
29.93/4.35	thf(c_0_133, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
29.93/4.35	thf(c_0_134, plain, ((descr__Cong)<=>![X1:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
29.93/4.35	thf(c_0_135, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
29.93/4.35	thf(c_0_136, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
29.93/4.35	thf(c_0_137, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
29.93/4.35	thf(c_0_138, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
29.93/4.35	thf(c_0_139, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
29.93/4.35	thf(c_0_140, 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])).
29.93/4.35	thf(c_0_141, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
29.93/4.35	thf(c_0_142, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
29.93/4.35	thf(c_0_143, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_128])).
29.93/4.35	thf(c_0_144, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X363:$i]:((((X1 @ X363))&![X364:$i]:((((X1 @ X364))=>((X363)=(X364)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_129, c_0_130])).
29.93/4.35	thf(c_0_145, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
29.93/4.35	thf(c_0_146, plain, ((descrp)=(![X1:$i > $o]:(((?[X359:$i]:((((X1 @ X359))&![X360:$i]:((((X1 @ X360))=>((X359)=(X360)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_131, c_0_130])).
29.93/4.35	thf(c_0_147, plain, ((exuEu)=(![X1:$i > $o]:(((?[X379:$i]:((((X1 @ X379))&![X380:$i]:((((X1 @ X380))=>((X379)=(X380)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_132, c_0_130])).
29.93/4.35	thf(c_0_148, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X357:$i]:((((X6 @ X2 @ X357))&![X358:$i]:((((X6 @ X2 @ X358))=>((X357)=(X358)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_133, c_0_130])).
29.93/4.35	thf(c_0_149, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X381:$i]:((((X1 @ X381))&![X382:$i]:((((X1 @ X382))=>((X381)=(X382)))))))=>((?[X383:$i]:((((X17 @ X383))&![X384:$i]:((((X17 @ X384))=>((X383)=(X384)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_134, c_0_130])).
29.93/4.35	thf(c_0_150, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
29.93/4.35	thf(c_0_151, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
29.93/4.35	thf(c_0_152, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
29.93/4.35	thf(c_0_153, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
29.93/4.35	thf(c_0_154, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X371:$i]:((((X1 @ X371))&![X372:$i]:((((X1 @ X372))=>((X371)=(X372))))))))))), inference(apply_def,[status(thm)],[c_0_135, c_0_130])).
29.93/4.35	thf(c_0_155, plain, ((emptyE1)<=>![X4:$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])).
29.93/4.35	thf(c_0_156, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_128])).
29.93/4.35	thf(c_0_157, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X375:$i]:((((X1 @ X375))&![X376:$i]:((((X1 @ X376))=>((X375)=(X376)))))))<=>(?[X377:$i]:((((X17 @ X377))&![X378:$i]:((((X17 @ X378))=>((X377)=(X378)))))))))))), inference(apply_def,[status(thm)],[c_0_136, c_0_130])).
29.93/4.35	thf(c_0_158, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X373:$i]:((((X1 @ X373))&![X374:$i]:((((X1 @ X374))=>((X373)=(X374)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_137, c_0_130])).
29.93/4.35	thf(c_0_159, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X369:$i]:((((X1 @ X369))&![X370:$i]:((((X1 @ X370))=>((X369)=(X370)))))))))))), inference(apply_def,[status(thm)],[c_0_138, c_0_130])).
29.93/4.35	thf(c_0_160, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X367:$i]:((((X1 @ X367))&![X368:$i]:((((X1 @ X368))=>((X367)=(X368))))))))))), inference(apply_def,[status(thm)],[c_0_139, c_0_130])).
29.93/4.35	thf(c_0_161, plain, ((exuE2)=(![X1:$i > $o]:(((?[X365:$i]:((((X1 @ X365))&![X366:$i]:((((X1 @ X366))=>((X365)=(X366)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_140, c_0_130])).
29.93/4.35	thf(c_0_162, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_128])).
29.93/4.35	thf(c_0_163, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_141, c_0_128])).
29.93/4.35	thf(c_0_164, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
29.93/4.35	thf(c_0_165, plain, ((exuE1)=(![X1:$i > $o]:(((?[X361:$i]:((((X1 @ X361))&![X362:$i]:((((X1 @ X362))=>((X361)=(X362)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_142, c_0_130])).
29.93/4.35	thf(c_0_166, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
29.93/4.35	thf(c_0_167, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
29.93/4.35	thf(c_0_168, plain, ((epred1_0)<=>![X708:$i]:(?[X709:$i]:((((![X710:$i]:(((in @ X710 @ X709)=>![X711:$i]:(((in @ X711 @ X710)=>(in @ X711 @ X708)))))&![X712:$i, X713:$i]:((((in @ X712 @ X708)&(in @ X713 @ X708))=>(![X714:$i]:(((in @ X714 @ X709)=>((in @ X712 @ X714)<=>(in @ X713 @ X714))))=>((X712)=(X713))))))&![X715:$i, X716:$i]:((((in @ X715 @ X709)&(in @ X716 @ X709))=>(![X717:$i]:(((in @ X717 @ X715)=>(in @ X717 @ X716)))|![X718:$i]:(((in @ X718 @ X716)=>(in @ X718 @ X715)))))))&![X719:$i]:(((![X720:$i]:(((in @ X720 @ X719)=>(in @ X720 @ X708)))&?[X721:$i]:((in @ X721 @ X719)))=>?[X722:$i, X723:$i]:(((((in @ X722 @ X709)&(in @ X723 @ X719))&~(?[X724:$i]:(((in @ X724 @ X722)&(in @ X724 @ X719)))))&![X725:$i]:(((in @ X725 @ X709)=>(![X726:$i]:(((in @ X726 @ X725)=>(in @ X726 @ X722)))|(in @ X723 @ X725)))))))))))), introduced(definition)).
29.93/4.35	thf(c_0_169, negated_conjecture, ~((![X745:$i, X746:$i]:((![X747:$i]:(((in @ X747 @ X745)<=>(in @ X747 @ X746)))=>((X745)=(X746))))=>(![X385:$i]:(~(in @ X385 @ emptyset))=>(![X386:$i, X387:$i, X388:$i]:(((in @ X388 @ (setadjoin @ X386 @ X387))<=>(((X388)=(X386))|(in @ X388 @ X387))))=>(![X742:$i, X743:$i]:(((in @ X743 @ (powerset @ X742))<=>![X744:$i]:(((in @ X744 @ X743)=>(in @ X744 @ X742)))))=>(![X739:$i, X740:$i]:(((in @ X740 @ (setunion @ X739))<=>?[X741:$i]:(((in @ X740 @ X741)&(in @ X741 @ X739)))))=>((in @ emptyset @ omega)=>(![X389:$i]:(((in @ X389 @ omega)=>(in @ (setadjoin @ X389 @ X389) @ omega)))=>(![X390:$i]:((((in @ emptyset @ X390)&![X391:$i]:((((in @ X391 @ omega)&(in @ X391 @ X390))=>(in @ (setadjoin @ X391 @ X391) @ X390))))=>![X392:$i]:(((in @ X392 @ omega)=>(in @ X392 @ X390)))))=>(![X731:$i > $i > $o, X732:$i]:((![X733:$i]:(((in @ X733 @ X732)=>?[X734:$i]:(((X731 @ X733 @ X734)&![X735:$i]:(((X731 @ X733 @ X735)=>((X734)=(X735))))))))=>?[X736:$i]:(![X737:$i]:(((in @ X737 @ X736)<=>?[X738:$i]:(((in @ X738 @ X732)&(X731 @ X738 @ X737))))))))=>(![X727:$i]:((?[X728:$i]:((in @ X728 @ X727))=>?[X729:$i]:(((in @ X729 @ X727)&~(?[X730:$i]:(((in @ X730 @ X729)&(in @ X730 @ X727))))))))=>((epred1_0)=>(![X705:$i > $o]:((?[X706:$i]:(((X705 @ X706)&![X707:$i]:(((X705 @ X707)=>((X706)=(X707))))))=>(X705 @ (descr @ (^[Z0/* 17 */:$i]:(X705 @ Z0))))))=>(![X393:$i, X394:$i > $o, X395:$i]:(((in @ X395 @ X393)=>((X394 @ X395)=>(in @ X395 @ (dsetconstr @ X393 @ X394)))))=>(![X702:$i, X703:$i > $o, X704:$i]:(((in @ X704 @ (dsetconstr @ X702 @ X703))=>(in @ X704 @ X702)))=>(![X396:$i, X397:$i > $o, X398:$i]:(((in @ X398 @ (dsetconstr @ X396 @ X397))=>(X397 @ X398)))=>(![X399:$i > $o]:((?[X400:$i]:(((X399 @ X400)&![X401:$i]:(((X399 @ X401)=>((X400)=(X401))))))=>?[X402:$i]:(((X399 @ X402)&![X403:$i]:(((X399 @ X403)=>((X402)=(X403))))))))=>(![X404:$o, X405:$i]:(((in @ X405 @ (prop2set @ ((X404))))=>(X404)))=>(![X700:$i]:(((in @ X700 @ emptyset)=>![X701:$o]:((X701))))=>(![X699:$i]:(((in @ X699 @ emptyset)=>~($true)))=>(![X698:$i]:(~(in @ X698 @ emptyset))=>(![X694:$i > $o]:((?[X695:$i]:(((X694 @ X695)&![X696:$i]:(((X694 @ X696)=>((X695)=(X696))))))=>?[X697:$i]:((X694 @ X697))))=>(![X690:$i, X691:$i]:((![X692:$i]:(((in @ X692 @ X690)=>(in @ X692 @ X691)))=>(![X693:$i]:(((in @ X693 @ X691)=>(in @ X693 @ X690)))=>((X690)=(X691)))))=>(![X406:$i]:((![X407:$i]:(~(in @ X407 @ X406))=>((X406)=(emptyset))))=>(![X688:$i]:((![X689:$i]:(~(in @ X689 @ X688))=>((X688)=(emptyset))))=>(![X408:$i, X409:$i > $o, X410:$i]:(((in @ X410 @ X408)=>((in @ X410 @ (dsetconstr @ X408 @ X409))<=>(X409 @ X410))))=>(![X686:$i]:((((X686)!=(emptyset))=>?[X687:$i]:((in @ X687 @ X686))))=>(![X411:$i, X412:$i > $o, X413:$i]:(((in @ X413 @ X411)=>((X412 @ X413)=>((dsetconstr @ X411 @ X412)!=(emptyset)))))=>(![X414:$i]:((?[X415:$i]:((in @ X415 @ X414))=>((X414)!=(emptyset))))=>(![X684:$i, X685:$i]:((in @ X684 @ (setadjoin @ X684 @ X685)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X681:$i, X682:$i, X683:$i]:(((in @ X683 @ X682)=>(in @ X683 @ (setadjoin @ X681 @ X682))))=>(![X416:$i, X417:$i, X418:$i]:(((in @ X418 @ (setadjoin @ X416 @ X417))=>![X419:$o]:(((((X418)=(X416))=>(X419))=>(((in @ X418 @ X417)=>(X419))=>(X419))))))=>(![X678:$i, X679:$i, X680:$i]:(((in @ X680 @ (setadjoin @ X678 @ X679))=>(((X680)=(X678))|(in @ X680 @ X679))))=>(![X677:$i]:(((dsetconstr @ X677 @ (^[Z0/* 1 */:$i]:($true)))=(X677)))=>(![X674:$i, X675:$i]:((![X676:$i]:(((in @ X676 @ X675)=>(in @ X676 @ X674)))=>(in @ X675 @ (powerset @ X674))))=>(![X673:$i]:((in @ emptyset @ (powerset @ X673)))=>(![X420:$i]:((in @ emptyset @ (powerset @ X420)))=>(![X670:$i, X671:$i, X672:$i]:(((in @ X671 @ (powerset @ X670))=>((in @ X672 @ X671)=>(in @ X672 @ X670))))=>(![X667:$i, X668:$i, X669:$i]:(((in @ X668 @ X669)=>((in @ X669 @ X667)=>(in @ X668 @ (setunion @ X667)))))=>(![X421:$i, X422:$i]:(((in @ X422 @ (setunion @ X421))=>![X423:$o]:((![X424:$i]:(((in @ X422 @ X424)=>((in @ X424 @ X421)=>(X423))))=>(X423)))))=>(![X665:$i, X666:$i]:(((in @ X666 @ X665)=>(in @ X666 @ (powerset @ (setunion @ X665)))))=>(![X425:$i > $o]:((?[X426:$i]:(((X425 @ X426)&![X427:$i]:(((X425 @ X427)=>((X426)=(X427))))))=>?[X428:$i]:(![X429:$i]:(((X425 @ X429)<=>((X429)=(X428)))))))=>(![X663:$i]:((((X663)!=(emptyset))=>?[X664:$i]:(((in @ X664 @ X663)&$true))))=>(![X661:$i, X662:$i]:(((in @ X661 @ (setadjoin @ X662 @ emptyset))=>((X661)=(X662))))=>(![X430:$i, X431:$i]:((((X430)!=(X431))=>~(in @ X431 @ (setadjoin @ X430 @ emptyset))))=>(![X432:$i, X433:$i]:((((X432)=(X433))=>(in @ X432 @ (setadjoin @ X433 @ emptyset))))=>(![X659:$i, X660:$i]:(((in @ X659 @ (setadjoin @ X660 @ emptyset))=>(in @ X660 @ (setadjoin @ X659 @ emptyset))))=>(![X656:$i, X657:$i, X658:$i]:(((in @ X658 @ (setadjoin @ X656 @ (setadjoin @ X657 @ emptyset)))=>(((X658)=(X656))|((X658)=(X657)))))=>(![X434:$i, X435:$i]:((in @ X434 @ (setadjoin @ X434 @ (setadjoin @ X435 @ emptyset))))=>(![X436:$i, X437:$i]:((in @ X437 @ (setadjoin @ X436 @ (setadjoin @ X437 @ emptyset))))=>(![X653:$i, X654:$i > $o]:((?[X655:$i]:(((in @ X655 @ X653)&(X654 @ X655)))=>(((dsetconstr @ X653 @ X654)=(emptyset))=>~($true))))=>(![X438:$i > $o, X439:$i]:(((in @ X439 @ emptyset)=>(X438 @ X439)))=>(![X649:$i, X650:$i > $o]:((~(![X651:$i]:(((in @ X651 @ X649)=>(X650 @ X651))))=>?[X652:$i]:(((in @ X652 @ X649)&~((X650 @ X652))))))=>(![X645:$i, X646:$i > $o]:((![X647:$i]:(((in @ X647 @ X645)=>~((X646 @ X647))))=>~(?[X648:$i]:(((in @ X648 @ X645)&(X646 @ X648))))))=>(![X641:$i, X642:$i > $o]:((~(?[X643:$i]:(((in @ X643 @ X641)&(X642 @ X643))))=>![X644:$i]:(((in @ X644 @ X641)=>~((X642 @ X644))))))=>(![X637:$i, X638:$i > $o]:((?[X639:$i]:(((in @ X639 @ X637)&~((X638 @ X639))))=>~(![X640:$i]:(((in @ X640 @ X637)=>(X638 @ X640))))))=>(![X440:$o]:(((X440)=>(in @ emptyset @ (prop2set @ ((X440))))))=>((prop2set2propI)=>(![X633:$i, X634:$i > $o]:((~(?[X635:$i]:(((in @ X635 @ X633)&(X634 @ X635))))=>![X636:$i]:(((in @ X636 @ X633)=>~((X634 @ X636))))))=>(![X629:$i, X630:$i > $o]:((~(![X631:$i]:(((in @ X631 @ X629)=>(X630 @ X631))))=>?[X632:$i]:(((in @ X632 @ X629)&~((X630 @ X632))))))=>(![X441:$i > $o]:((?[X442:$i]:(((X441 @ X442)&![X443:$i]:(((X441 @ X443)=>((X442)=(X443))))))=>?[X444:$i]:(((X441 @ X444)&![X445:$i]:(((X441 @ X445)=>((X444)=(X445))))))))=>(![X446:$i > $o]:((?[X447:$i]:((X446 @ X447))=>(![X448:$i, X449:$i]:(((X446 @ X448)=>((X446 @ X449)=>((X448)=(X449)))))=>?[X450:$i]:(((X446 @ X450)&![X451:$i]:(((X446 @ X451)=>((X450)=(X451)))))))))=>(![X624:$i > $o]:((?[X625:$i]:(![X626:$i]:(((X624 @ X626)<=>((X626)=(X625)))))=>?[X627:$i]:(((X624 @ X627)&![X628:$i]:(((X624 @ X628)=>((X627)=(X628))))))))=>(![X452:$i, X453:$i]:((((X452)=(X453))=>![X454:$i, X455:$i]:((((X454)=(X455))=>((in @ X454 @ X452)=>(in @ X455 @ X453))))))=>(![X620:$i, X621:$i]:((((X620)=(X621))=>![X622:$i, X623:$i]:((((X622)=(X623))=>((in @ X622 @ X620)<=>(in @ X623 @ X621))))))=>(![X456:$i > $o]:((?[X457:$i]:(((X456 @ X457)&![X458:$i]:(((X456 @ X458)=>((X457)=(X458))))))=>![X459:$i, X460:$i]:(((X456 @ X459)=>((X456 @ X460)=>((X459)=(X460)))))))=>(![X461:$i > $o, X462:$i > $o]:((![X463:$i, X464:$i]:((((X463)=(X464))=>((X461 @ X463)<=>(X462 @ X464))))=>(?[X465:$i]:(((X461 @ X465)&![X466:$i]:(((X461 @ X466)=>((X465)=(X466))))))<=>?[X467:$i]:(((X462 @ X467)&![X468:$i]:(((X462 @ X468)=>((X467)=(X468)))))))))=>(((emptyset)=(emptyset))=>(![X469:$i, X470:$i]:((((X469)=(X470))=>![X471:$i, X472:$i]:((((X471)=(X472))=>((setadjoin @ X469 @ X471)=(setadjoin @ X470 @ X472))))))=>(![X473:$i, X474:$i]:((((X473)=(X474))=>((powerset @ X473)=(powerset @ X474))))=>(![X618:$i, X619:$i]:((((X618)=(X619))=>((setunion @ X618)=(setunion @ X619))))=>(((omega)=(omega))=>(![X475:$i > $o]:((?[X476:$i]:(((X475 @ X476)&![X477:$i]:(((X475 @ X477)=>((X476)=(X477))))))=>![X478:$i, X479:$i]:(((X475 @ X478)=>((X475 @ X479)=>((X478)=(X479)))))))=>(![X480:$i > $o, X481:$i > $o]:((![X482:$i, X483:$i]:((((X482)=(X483))=>((X480 @ X482)<=>(X481 @ X483))))=>(?[X484:$i]:(((X480 @ X484)&![X485:$i]:(((X480 @ X485)=>((X484)=(X485))))))=>(?[X486:$i]:(((X481 @ X486)&![X487:$i]:(((X481 @ X487)=>((X486)=(X487))))))=>((descr @ X480)=(descr @ X481))))))=>(![X488:$i, X489:$i]:((((X488)=(X489))=>![X490:$i > $o, X491:$i > $o]:((![X492:$i]:(((in @ X492 @ X488)=>![X493:$i]:(((in @ X493 @ X489)=>(((X492)=(X493))=>((X490 @ X492)<=>(X491 @ X493)))))))=>((dsetconstr @ X488 @ X490)=(dsetconstr @ X489 @ X491))))))=>(![X615:$i, X616:$i]:((![X617:$i]:(((in @ X617 @ X615)=>(in @ X617 @ X616)))=>(subset @ X615 @ X616)))=>(![X494:$i, X495:$i]:((((X494)=(X495))=>(subset @ X495 @ X494)))=>(![X613:$i, X614:$i]:((((X613)=(X614))=>(subset @ X613 @ X614)))=>(![X496:$i, X497:$i]:((![X498:$i]:(((in @ X498 @ X496)=>(in @ X498 @ X497)))=>(subset @ X496 @ X497)))=>(![X499:$i]:((subset @ emptyset @ X499))=>(![X610:$i, X611:$i, X612:$i]:(((subset @ X610 @ X611)=>((in @ X612 @ X610)=>(in @ X612 @ X611))))=>(![X500:$i, X501:$i, X502:$i]:(((subset @ X500 @ X501)=>(~(in @ X502 @ X501)=>~(in @ X502 @ X500))))=>(![X503:$i, X504:$i, X505:$i]:(((in @ X505 @ X503)=>(~(in @ X505 @ X504)=>~(subset @ X503 @ X504))))=>(![X608:$i, X609:$i]:((~(subset @ X608 @ X609)=>((X608)!=(X609))))=>(![X605:$i, X606:$i, X607:$i]:(((in @ X607 @ X605)=>(~(in @ X607 @ X606)=>((X605)!=(X606)))))=>(![X604:$i]:((subset @ X604 @ X604))=>(![X506:$i, X507:$i, X508:$i]:(((subset @ X506 @ X507)=>((subset @ X507 @ X508)=>(subset @ X506 @ X508))))=>(![X602:$i, X603:$i]:((subset @ X603 @ (setadjoin @ X602 @ X603)))=>(![X509:$i, X510:$i, X511:$i]:(((subset @ X509 @ X511)=>(subset @ X509 @ (setadjoin @ X510 @ X511))))=>(![X600:$i, X601:$i]:(((subset @ X600 @ X601)=>(in @ X600 @ (powerset @ X601))))=>(![X598:$i, X599:$i]:(((subset @ X598 @ X599)=>((subset @ X599 @ X598)=>((X598)=(X599)))))=>(![X512:$i]:(((subset @ X512 @ emptyset)=>((X512)=(emptyset))))=>(![X596:$i, X597:$i]:(((subset @ X597 @ X596)=>(in @ X597 @ (powerset @ X596))))=>(![X594:$i, X595:$i]:(((in @ X595 @ (powerset @ X594))=>(subset @ X595 @ X594)))=>(![X513:$i]:((in @ X513 @ (powerset @ X513)))=>(![X592:$i, X593:$i]:(((subset @ X592 @ X593)=>(subset @ (powerset @ X592) @ (powerset @ X593))))=>(![X514:$i, X515:$i > $o]:((in @ (dsetconstr @ X514 @ X515) @ (powerset @ X514)))=>(![X590:$i, X591:$i > $o]:((subset @ (dsetconstr @ X590 @ X591) @ X590))=>(![X587:$i, X588:$i, X589:$i]:(((in @ X589 @ X587)=>(in @ X589 @ (binunion @ X587 @ X588))))=>(![X516:$i, X517:$i]:((in @ X517 @ (setadjoin @ X516 @ (setadjoin @ X517 @ emptyset))))=>(![X518:$i, X519:$i, X520:$i]:(((in @ X520 @ X519)=>(in @ X520 @ (binunion @ X518 @ X519))))=>(![X521:$i, X522:$i, X523:$i, X524:$o]:(((in @ X523 @ (binunion @ X521 @ X522))=>(((in @ X523 @ X521)=>(X524))=>(((in @ X523 @ X522)=>(X524))=>(X524)))))=>(![X584:$i, X585:$i, X586:$i]:(((in @ X586 @ (binunion @ X584 @ X585))=>((in @ X586 @ X584)|(in @ X586 @ X585))))=>(![X525:$i, X526:$i]:((subset @ X525 @ (binunion @ X525 @ X526)))=>(![X527:$i, X528:$i]:((subset @ X528 @ (binunion @ X527 @ X528)))=>(![X529:$i, X530:$i, X531:$i]:(((in @ X531 @ X529)=>((in @ X531 @ X530)=>(in @ X531 @ (binintersect @ X529 @ X530)))))=>(![X581:$i, X582:$i, X583:$i]:(((subset @ X583 @ X581)=>((subset @ X583 @ X582)=>(subset @ X583 @ (binintersect @ X581 @ X582)))))=>(![X532:$i, X533:$i, X534:$i]:(((in @ X534 @ (binintersect @ X532 @ X533))=>(in @ X534 @ X532)))=>(![X535:$i, X536:$i]:((subset @ (binintersect @ X535 @ X536) @ X535))=>(![X537:$i, X538:$i]:(((subset @ X537 @ X538)=>((binintersect @ X537 @ X538)=(X537))))=>(![X579:$i, X580:$i]:((((binintersect @ X579 @ X580)=(X580))=>(subset @ X580 @ X579)))=>(![X576:$i, X577:$i, X578:$i]:(((in @ X578 @ (binintersect @ X576 @ X577))=>(in @ X578 @ X577)))=>(![X573:$i, X574:$i]:((~(?[X575:$i]:(((in @ X575 @ X573)&(in @ X575 @ X574))))=>((binintersect @ X573 @ X574)=(emptyset))))=>(![X571:$i, X572:$i]:((subset @ (binintersect @ X571 @ X572) @ X572))=>(![X569:$i, X570:$i]:(((subset @ X570 @ X569)=>((binintersect @ X569 @ X570)=(X570))))=>(![X539:$i, X540:$i]:((((binintersect @ X539 @ X540)=(X539))=>(subset @ X539 @ X540)))=>(![X566:$i, X567:$i, X568:$i]:(((binintersect @ X566 @ (binunion @ X567 @ X568))=(binunion @ (binintersect @ X566 @ X567) @ (binintersect @ X566 @ X568))))=>(![X541:$i, X542:$i, X543:$i]:(((in @ X543 @ X541)=>(~(in @ X543 @ X542)=>(in @ X543 @ (setminus @ X541 @ X542)))))=>(![X563:$i, X564:$i, X565:$i]:(((in @ X565 @ (setminus @ X563 @ X564))=>(in @ X565 @ X563)))=>(![X560:$i, X561:$i, X562:$i]:(((in @ X562 @ (setminus @ X560 @ X561))=>~(in @ X562 @ X561)))=>(![X544:$i, X545:$i]:(((subset @ X544 @ X545)=>((setminus @ X544 @ X545)=(emptyset))))=>(![X546:$i, X547:$i, X548:$i]:((~(in @ X548 @ (setminus @ X546 @ X547))=>((in @ X548 @ X546)=>(in @ X548 @ X547))))=>(![X549:$i, X550:$i, X551:$i]:((~(in @ X551 @ (setminus @ X549 @ X550))=>(~(in @ X551 @ X550)=>~(in @ X551 @ X549))))=>(![X552:$i, X553:$i, X554:$i]:((~(in @ X554 @ X552)=>~(in @ X554 @ (setminus @ X552 @ X553))))=>(![X557:$i, X558:$i, X559:$i]:(((in @ X559 @ X558)=>~(in @ X559 @ (setminus @ X557 @ X558))))=>(![X555:$i, X556:$i]:((subset @ (setminus @ X555 @ X556) @ X555))=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ 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(apply_def,[status(thm)],[inference(apply_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)],[setminusSubset1]), subsetemptysetimpeq]), setextAx]), setadjoinOr]), setadjoinIR]), emptyinunitempty]), subsetI2]), setadjoinIL]), c_0_143]), emptysetsubset]), noeltsimpempty]), setext]), c_0_144]), subsetE2]), notinemptyset]), emptysetimpfalse]), notsubsetI]), emptysetE]), c_0_145]), c_0_146]), subsetTrans]), wellorderingAx]), c_0_147]), foundationAx]), c_0_148]), setadjoinSub2]), omega0Ax]), setunionAx]), powersetAx]), setminusERneg]), c_0_149]), inPowerset]), c_0_150]), upairset2IR]), binunionIR]), binunionEcases]), binunionLsub]), binunionRsub]), binintersectI]), c_0_151]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset1]), setminusI]), setminusSubset2]), setunionI]), powersetE]), emptyinPowerset]), powersetI]), c_0_152]), setminusELneg]), setminusILneg]), setminusLsub]), setminusIRneg]), setminusER]), setminusEL]), bs114d]), binintersectSubset4]), binintersectRsub]), disjointsetsI1]), eqimpsubset2]), binintersectER]), binintersectSubset3]), binintersectSubset5]), binunionE]), binunionIL]), c_0_153]), powersetsubset]), powersetE1]), powersetI1]), setextsub]), subset2powerset]), setadjoinSub]), subsetRefl]), notequalI2]), notequalI1]), subsetE]), eqimpsubset1]), subsetI1]), omega__Cong]), setunion__Cong]), in__Cong]), c_0_154]), notdallE]), notdexE]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), c_0_155]), upairsetE]), singletonsswitch]), uniqinunit]), c_0_156]), subPowSU]), powerset__Cong]), setadjoin__Cong]), emptyset__Cong]), c_0_157]), c_0_158]), inCongP]), c_0_159]), c_0_160]), prop2setI]), vacuousDall]), upairsetIR]), upairsetIL]), eqinunit]), notinsingleton]), c_0_161]), setunionE]), emptyInPowerset]), setadjoinE]), c_0_162]), c_0_163]), c_0_164]), emptyI]), prop2setE]), c_0_165]), c_0_166]), c_0_167]), omegaIndAx]), omegaSAx]), setadjoinAx]), emptysetAx])])]), c_0_168])).
29.93/4.35	thf(c_0_170, negated_conjecture, ![X748:$i, X749:$i, X751:$i, X752:$i, X753:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$i, X761:$i, X762:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X770:$i, X771:$i > $i > $o, X772:$i, X774:$i, X777:$i, X779:$i, X780:$i, X781:$i, X782:$i, X784:$i, X785:$i > $o, X786:$i, X788:$i, X789:$i > $o, X790:$i, X791:$i, X792:$i > $o, X793:$i, X794:$i, X795:$i > $o, X796:$i, X797:$i > $o, X798:$i, X801:$i, X802:$o, X803:$i, X804:$i, X805:$o, X806:$i, X807:$i, X808:$i > $o, X809:$i, X812:$i, X813:$i, X816:$i, X818:$i, X820:$i, X821:$i > $o, X822:$i, X823:$i, X825:$i, X826:$i > $o, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$o, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$o, X858:$i, X859:$i, X860:$i > $o, X861:$i, X864:$i, X865:$i, X866:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i > $o, X885:$i, X886:$i > $o, X887:$i, X888:$i, X889:$i > $o, X890:$i, X892:$i, X893:$i > $o, X895:$i, X896:$i, X897:$i > $o, X899:$i, X900:$i, X901:$i > $o, X902:$i, X904:$o, X905:$i, X906:$i > $o, X908:$i, X909:$i, X910:$i > $o, X911:$i, X913:$i > $o, X914:$i, X917:$i, X918:$i > $o, X919:$i, X923:$i, X924:$i > $o, X925:$i, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i > $o, X938:$i, X940:$i, X941:$i, X942:$i > $o, X943:$i > $o, X946:$i, X949:$i, X950:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i > $o, X963:$i, X965:$i, X966:$i, X967:$i > $o, X968:$i > $o, X971:$i, X973:$i, X975:$i, X976:$i, X977:$i > $o, X978:$i > $o, X981:$i, X982:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$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 > $o, X1029:$i, X1030:$i > $o, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$o, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1071:$i, X1072:$i, X1073:$i, X1074:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$i, X1083:$i, X1084:$i, X1085:$i, X1086:$i, X1087:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i]:((((~(in @ (esk1_2 @ X748 @ X749) @ X748)|~(in @ (esk1_2 @ X748 @ X749) @ X749)|((X748)=(X749)))&((in @ (esk1_2 @ X748 @ X749) @ X748)|(in @ (esk1_2 @ X748 @ X749) @ X749)|((X748)=(X749))))&(~(in @ X751 @ emptyset)&(((~(in @ X754 @ (setadjoin @ X752 @ X753))|(((X754)=(X752))|(in @ X754 @ X753)))&((((X754)!=(X752))|(in @ X754 @ (setadjoin @ X752 @ X753)))&(~(in @ X754 @ X753)|(in @ X754 @ (setadjoin @ X752 @ X753)))))&(((~(in @ X756 @ (powerset @ X755))|(~(in @ X757 @ X756)|(in @ X757 @ X755)))&(((in @ (esk2_2 @ X758 @ X759) @ X759)|(in @ X759 @ (powerset @ X758)))&(~(in @ (esk2_2 @ X758 @ X759) @ X758)|(in @ X759 @ (powerset @ X758)))))&(((((in @ X762 @ (esk3_2 @ X761 @ X762))|~(in @ X762 @ (setunion @ X761)))&((in @ (esk3_2 @ X761 @ X762) @ X761)|~(in @ X762 @ (setunion @ X761))))&(~(in @ X765 @ X766)|~(in @ X766 @ X764)|(in @ X765 @ (setunion @ X764))))&((in @ emptyset @ omega)&((~(in @ X767 @ omega)|(in @ (setadjoin @ X767 @ X767) @ omega))&(((((in @ (esk4_1 @ X768) @ omega)|~(in @ emptyset @ X768)|(~(in @ X770 @ omega)|(in @ X770 @ X768)))&((in @ (esk4_1 @ X768) @ X768)|~(in @ emptyset @ X768)|(~(in @ X770 @ omega)|(in @ X770 @ X768))))&(~(in @ (setadjoin @ (esk4_1 @ X768) @ (esk4_1 @ X768)) @ X768)|~(in @ emptyset @ X768)|(~(in @ X770 @ omega)|(in @ X770 @ X768))))&((((((in @ (esk8_3 @ X771 @ X772 @ X777) @ X772)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|(in @ (esk5_2 @ X771 @ X772) @ X772))&((X771 @ (esk8_3 @ X771 @ X772 @ X777) @ X777)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|(in @ (esk5_2 @ X771 @ X772) @ X772)))&(~(in @ X780 @ X772)|~(X771 @ X780 @ X779)|(in @ X779 @ (esk7_2 @ X771 @ X772))|(in @ (esk5_2 @ X771 @ X772) @ X772)))&(((((in @ (esk8_3 @ X771 @ X772 @ X777) @ X772)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|((X771 @ (esk5_2 @ X771 @ X772) @ (esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774)))&((X771 @ (esk8_3 @ X771 @ X772 @ X777) @ X777)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|((X771 @ (esk5_2 @ X771 @ X772) @ (esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774))))&(~(in @ X780 @ X772)|~(X771 @ X780 @ X779)|(in @ X779 @ (esk7_2 @ X771 @ X772))|((X771 @ (esk5_2 @ X771 @ X772) @ (esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774))))&((((in @ (esk8_3 @ X771 @ X772 @ X777) @ X772)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|(((X774)!=(esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774)))&((X771 @ (esk8_3 @ X771 @ X772 @ X777) @ X777)|~(in @ X777 @ (esk7_2 @ X771 @ X772))|(((X774)!=(esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774))))&(~(in @ X780 @ X772)|~(X771 @ X780 @ X779)|(in @ X779 @ (esk7_2 @ X771 @ X772))|(((X774)!=(esk6_3 @ X771 @ X772 @ X774))|~(X771 @ (esk5_2 @ X771 @ X772) @ X774))))))&((((in @ (esk9_1 @ X781) @ X781)|~(in @ X782 @ X781))&(~(in @ X784 @ (esk9_1 @ X781))|~(in @ X784 @ X781)|~(in @ X782 @ X781)))&((epred1_0)&((((X785 @ (esk10_2 @ X785 @ X786))|~(X785 @ X786)|(X785 @ (descr @ X785)))&(((X786)!=(esk10_2 @ X785 @ X786))|~(X785 @ X786)|(X785 @ (descr @ X785))))&((~(in @ X790 @ X788)|(~(X789 @ X790)|(in @ X790 @ (dsetconstr @ X788 @ X789))))&((~(in @ X793 @ (dsetconstr @ X791 @ X792))|(in @ X793 @ X791))&((~(in @ X796 @ (dsetconstr @ X794 @ X795))|(X795 @ X796))&(((((X797 @ (esk12_1 @ X797))|((X797 @ (esk11_2 @ X797 @ X798))|~(X797 @ X798)))&(~(X797 @ X801)|((esk12_1 @ X797)=(X801))|((X797 @ (esk11_2 @ X797 @ X798))|~(X797 @ X798))))&(((X797 @ (esk12_1 @ X797))|(((X798)!=(esk11_2 @ X797 @ X798))|~(X797 @ X798)))&(~(X797 @ X801)|((esk12_1 @ X797)=(X801))|(((X798)!=(esk11_2 @ X797 @ X798))|~(X797 @ X798)))))&((~(in @ X803 @ (prop2set @ ((X802))))|(X802))&((~(in @ X804 @ emptyset)|(X805))&((~(in @ X806 @ emptyset)|~($true))&(~(in @ X807 @ emptyset)&((((X808 @ (esk13_2 @ X808 @ X809))|~(X808 @ X809)|(X808 @ (esk14_1 @ X808)))&(((X809)!=(esk13_2 @ X808 @ X809))|~(X808 @ X809)|(X808 @ (esk14_1 @ X808))))&(((((in @ (esk16_2 @ X812 @ X813) @ X813)|((X812)=(X813))|(in @ (esk15_2 @ X812 @ X813) @ X812))&(~(in @ (esk16_2 @ X812 @ X813) @ X812)|((X812)=(X813))|(in @ (esk15_2 @ X812 @ X813) @ X812)))&(((in @ (esk16_2 @ X812 @ X813) @ X813)|((X812)=(X813))|~(in @ (esk15_2 @ X812 @ X813) @ X813))&(~(in @ (esk16_2 @ X812 @ X813) @ X812)|((X812)=(X813))|~(in @ (esk15_2 @ X812 @ X813) @ X813))))&(((in @ (esk17_1 @ X816) @ X816)|((X816)=(emptyset)))&(((in @ (esk18_1 @ X818) @ X818)|((X818)=(emptyset)))&(((~(in @ X822 @ (dsetconstr @ X820 @ X821))|(X821 @ X822)|~(in @ X822 @ X820))&(~(X821 @ X822)|(in @ X822 @ (dsetconstr @ X820 @ X821))|~(in @ X822 @ X820)))&((((X823)=(emptyset))|(in @ (esk19_1 @ X823) @ X823))&((~(in @ X827 @ X825)|(~(X826 @ X827)|((dsetconstr @ X825 @ X826)!=(emptyset))))&((~(in @ X829 @ X828)|((X828)!=(emptyset)))&((in @ X830 @ (setadjoin @ X830 @ X831))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X834 @ X833)|(in @ X834 @ (setadjoin @ X832 @ X833)))&(((((in @ X837 @ X836)|(X838)|((X837)=(X835))|~(in @ X837 @ (setadjoin @ X835 @ X836)))&(~(X838)|(X838)|((X837)=(X835))|~(in @ X837 @ (setadjoin @ X835 @ X836))))&(((in @ X837 @ X836)|(X838)|~(X838)|~(in @ X837 @ (setadjoin @ X835 @ X836)))&(~(X838)|(X838)|~(X838)|~(in @ X837 @ (setadjoin @ X835 @ X836)))))&((~(in @ X841 @ (setadjoin @ X839 @ X840))|(((X841)=(X839))|(in @ X841 @ X840)))&(((dsetconstr @ X842 @ (^[Z0/* 1 */:$i]:($true)))=(X842))&((((in @ (esk20_2 @ X843 @ X844) @ X844)|(in @ X844 @ (powerset @ X843)))&(~(in @ (esk20_2 @ X843 @ X844) @ X843)|(in @ X844 @ (powerset @ X843))))&((in @ emptyset @ (powerset @ X846))&((in @ emptyset @ (powerset @ X847))&((~(in @ X849 @ (powerset @ X848))|(~(in @ X850 @ X849)|(in @ X850 @ X848)))&((~(in @ X852 @ X853)|(~(in @ X853 @ X851)|(in @ X852 @ (setunion @ X851))))&((((in @ X855 @ (esk21_3 @ X854 @ X855 @ X856))|(X856)|~(in @ X855 @ (setunion @ X854)))&(((in @ (esk21_3 @ X854 @ X855 @ X856) @ X854)|(X856)|~(in @ X855 @ (setunion @ X854)))&(~(X856)|(X856)|~(in @ X855 @ (setunion @ X854)))))&((~(in @ X859 @ X858)|(in @ X859 @ (powerset @ (setunion @ X858))))&((((~(X860 @ X864)|((X864)=(esk23_1 @ X860))|((X860 @ (esk22_2 @ X860 @ X861))|~(X860 @ X861)))&(((X865)!=(esk23_1 @ X860))|(X860 @ X865)|((X860 @ (esk22_2 @ X860 @ X861))|~(X860 @ X861))))&((~(X860 @ X864)|((X864)=(esk23_1 @ X860))|(((X861)!=(esk22_2 @ X860 @ X861))|~(X860 @ X861)))&(((X865)!=(esk23_1 @ X860))|(X860 @ X865)|(((X861)!=(esk22_2 @ X860 @ X861))|~(X860 @ X861)))))&((((in @ (esk24_1 @ X866) @ X866)|((X866)=(emptyset)))&(($true)|((X866)=(emptyset))))&((~(in @ X868 @ (setadjoin @ X869 @ emptyset))|((X868)=(X869)))&((((X870)=(X871))|~(in @ X871 @ (setadjoin @ X870 @ emptyset)))&((((X872)!=(X873))|(in @ X872 @ (setadjoin @ X873 @ emptyset)))&((~(in @ X874 @ (setadjoin @ X875 @ emptyset))|(in @ X875 @ (setadjoin @ X874 @ emptyset)))&((~(in @ X878 @ (setadjoin @ X876 @ (setadjoin @ X877 @ emptyset)))|(((X878)=(X876))|((X878)=(X877))))&((in @ X879 @ (setadjoin @ X879 @ (setadjoin @ X880 @ emptyset)))&((in @ X882 @ (setadjoin @ X881 @ (setadjoin @ X882 @ emptyset)))&((~(in @ X885 @ X883)|~(X884 @ X885)|(((dsetconstr @ X883 @ X884)!=(emptyset))|~($true)))&((~(in @ X887 @ emptyset)|(X886 @ X887))&((((in @ (esk25_2 @ X888 @ X889) @ X888)|(~(in @ X890 @ X888)|(X889 @ X890)))&(~(X889 @ (esk25_2 @ X888 @ X889))|(~(in @ X890 @ X888)|(X889 @ X890))))&((((in @ (esk26_2 @ X892 @ X893) @ X892)|(~(in @ X895 @ X892)|~(X893 @ X895)))&((X893 @ (esk26_2 @ X892 @ X893))|(~(in @ X895 @ X892)|~(X893 @ X895))))&((((in @ (esk27_2 @ X896 @ X897) @ X896)|(~(in @ X899 @ X896)|~(X897 @ X899)))&((X897 @ (esk27_2 @ X896 @ X897))|(~(in @ X899 @ X896)|~(X897 @ X899))))&((((in @ (esk28_2 @ X900 @ X901) @ X900)|(~(in @ X902 @ X900)|(X901 @ X902)))&(~(X901 @ (esk28_2 @ X900 @ X901))|(~(in @ X902 @ X900)|(X901 @ X902))))&((~(X904)|(in @ emptyset @ (prop2set @ ((X904)))))&((prop2set2propI)&((((in @ (esk29_2 @ X905 @ X906) @ X905)|(~(in @ X908 @ X905)|~(X906 @ X908)))&((X906 @ (esk29_2 @ X905 @ X906))|(~(in @ X908 @ X905)|~(X906 @ X908))))&((((in @ (esk30_2 @ X909 @ X910) @ X909)|(~(in @ X911 @ X909)|(X910 @ X911)))&(~(X910 @ (esk30_2 @ X909 @ X910))|(~(in @ X911 @ X909)|(X910 @ X911))))&(((((X913 @ (esk32_1 @ X913))|((X913 @ (esk31_2 @ X913 @ X914))|~(X913 @ X914)))&(~(X913 @ X917)|((esk32_1 @ X913)=(X917))|((X913 @ (esk31_2 @ X913 @ X914))|~(X913 @ X914))))&(((X913 @ (esk32_1 @ X913))|(((X914)!=(esk31_2 @ X913 @ X914))|~(X913 @ X914)))&(~(X913 @ X917)|((esk32_1 @ X913)=(X917))|(((X914)!=(esk31_2 @ X913 @ X914))|~(X913 @ X914)))))&(((((X918 @ (esk35_1 @ X918))|(X918 @ (esk33_1 @ X918))|~(X918 @ X919))&(~(X918 @ X923)|((esk35_1 @ X918)=(X923))|(X918 @ (esk33_1 @ X918))|~(X918 @ X919)))&((((X918 @ (esk35_1 @ X918))|(X918 @ (esk34_1 @ X918))|~(X918 @ X919))&(~(X918 @ X923)|((esk35_1 @ X918)=(X923))|(X918 @ (esk34_1 @ X918))|~(X918 @ X919)))&(((X918 @ (esk35_1 @ X918))|((esk33_1 @ X918)!=(esk34_1 @ X918))|~(X918 @ X919))&(~(X918 @ X923)|((esk35_1 @ X918)=(X923))|((esk33_1 @ X918)!=(esk34_1 @ X918))|~(X918 @ X919)))))&(((((X924 @ (esk37_1 @ X924))|(~(X924 @ (esk36_2 @ X924 @ X925))|((esk36_2 @ X924 @ X925)!=(X925))))&(~(X924 @ X928)|((esk37_1 @ X924)=(X928))|(~(X924 @ (esk36_2 @ X924 @ X925))|((esk36_2 @ X924 @ X925)!=(X925)))))&(((X924 @ (esk37_1 @ X924))|((X924 @ (esk36_2 @ X924 @ X925))|((esk36_2 @ X924 @ X925)=(X925))))&(~(X924 @ X928)|((esk37_1 @ X924)=(X928))|((X924 @ (esk36_2 @ X924 @ X925))|((esk36_2 @ X924 @ X925)=(X925))))))&((((X929)!=(X930))|(((X931)!=(X932))|(~(in @ X931 @ X929)|(in @ X932 @ X930))))&(((~(in @ X935 @ X933)|(in @ X936 @ X934)|((X935)!=(X936))|((X933)!=(X934)))&(~(in @ X936 @ X934)|(in @ X935 @ X933)|((X935)!=(X936))|((X933)!=(X934))))&((((X937 @ (esk38_2 @ X937 @ X938))|~(X937 @ X938)|(~(X937 @ X940)|(~(X937 @ X941)|((X940)=(X941)))))&(((X938)!=(esk38_2 @ X937 @ X938))|~(X937 @ X938)|(~(X937 @ X940)|(~(X937 @ X941)|((X940)=(X941))))))&(((((((X943 @ (esk42_2 @ X942 @ X943))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943)))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943))))&(((X943 @ (esk42_2 @ X942 @ X943))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943)))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943)))))&((((X942 @ (esk44_2 @ X942 @ X943))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943)))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943))))&(((X942 @ (esk44_2 @ X942 @ X943))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943)))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((esk39_2 @ X942 @ X943)=(esk40_2 @ X942 @ X943))))))&((((((X943 @ (esk42_2 @ X942 @ X943))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943))))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943)))))&(((X943 @ (esk42_2 @ X942 @ X943))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943))))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943))))))&((((X942 @ (esk44_2 @ X942 @ X943))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943))))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943)))))&(((X942 @ (esk44_2 @ X942 @ X943))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943))))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|(~(X942 @ (esk39_2 @ X942 @ X943))|~(X943 @ (esk40_2 @ X942 @ X943)))))))&(((((X943 @ (esk42_2 @ X942 @ X943))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943))))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|((X942 @ (esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943)))))&(((X943 @ (esk42_2 @ X942 @ X943))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943))))&(~(X943 @ X949)|((esk42_2 @ X942 @ X943)=(X949))|(((X946)!=(esk41_3 @ X942 @ X943 @ X946))|~(X942 @ X946))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943))))))&((((X942 @ (esk44_2 @ X942 @ X943))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943))))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|((X943 @ (esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943)))))&(((X942 @ (esk44_2 @ X942 @ X943))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943))))&(~(X942 @ X953)|((esk44_2 @ X942 @ X943)=(X953))|(((X950)!=(esk43_3 @ X942 @ X943 @ X950))|~(X943 @ X950))|((X942 @ (esk39_2 @ X942 @ X943))|(X943 @ (esk40_2 @ X942 @ X943)))))))))&(((emptyset)=(emptyset))&((((X954)!=(X955))|(((X956)!=(X957))|((setadjoin @ X954 @ X956)=(setadjoin @ X955 @ X957))))&((((X958)!=(X959))|((powerset @ X958)=(powerset @ X959)))&((((X960)!=(X961))|((setunion @ X960)=(setunion @ X961)))&(((omega)=(omega))&((((X962 @ (esk45_2 @ X962 @ X963))|~(X962 @ X963)|(~(X962 @ X965)|(~(X962 @ X966)|((X965)=(X966)))))&(((X963)!=(esk45_2 @ X962 @ X963))|~(X962 @ X963)|(~(X962 @ X965)|(~(X962 @ X966)|((X965)=(X966))))))&((((((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((esk46_2 @ X967 @ X968)=(esk47_2 @ X967 @ X968)))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((esk46_2 @ X967 @ X968)=(esk47_2 @ X967 @ X968))))&(((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((esk46_2 @ X967 @ X968)=(esk47_2 @ X967 @ X968)))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((esk46_2 @ X967 @ X968)=(esk47_2 @ X967 @ X968)))))&(((((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|(~(X967 @ (esk46_2 @ X967 @ X968))|~(X968 @ (esk47_2 @ X967 @ X968))))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|(~(X967 @ (esk46_2 @ X967 @ X968))|~(X968 @ (esk47_2 @ X967 @ X968)))))&(((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|(~(X967 @ (esk46_2 @ X967 @ X968))|~(X968 @ (esk47_2 @ X967 @ X968))))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|(~(X967 @ (esk46_2 @ X967 @ X968))|~(X968 @ (esk47_2 @ X967 @ X968))))))&((((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((X967 @ (esk46_2 @ X967 @ X968))|(X968 @ (esk47_2 @ X967 @ X968))))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|((X967 @ (esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((X967 @ (esk46_2 @ X967 @ X968))|(X968 @ (esk47_2 @ X967 @ X968)))))&(((X968 @ (esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((X967 @ (esk46_2 @ X967 @ X968))|(X968 @ (esk47_2 @ X967 @ X968))))&(((X973)!=(esk49_3 @ X967 @ X968 @ X973))|~(X968 @ X973)|((descr @ X967)=(descr @ X968))|(((X971)!=(esk48_3 @ X967 @ X968 @ X971))|~(X967 @ X971))|((X967 @ (esk46_2 @ X967 @ X968))|(X968 @ (esk47_2 @ X967 @ X968))))))))&((((in @ (esk50_4 @ X975 @ X976 @ X977 @ X978) @ X975)|((dsetconstr @ X975 @ X977)=(dsetconstr @ X976 @ X978))|((X975)!=(X976)))&(((in @ (esk51_4 @ X975 @ X976 @ X977 @ X978) @ X976)|((dsetconstr @ X975 @ X977)=(dsetconstr @ X976 @ X978))|((X975)!=(X976)))&((((esk50_4 @ X975 @ X976 @ X977 @ X978)=(esk51_4 @ X975 @ X976 @ X977 @ X978))|((dsetconstr @ X975 @ X977)=(dsetconstr @ X976 @ X978))|((X975)!=(X976)))&((~(X977 @ (esk50_4 @ X975 @ X976 @ X977 @ X978))|~(X978 @ (esk51_4 @ X975 @ X976 @ X977 @ X978))|((dsetconstr @ X975 @ X977)=(dsetconstr @ X976 @ X978))|((X975)!=(X976)))&((X977 @ (esk50_4 @ X975 @ X976 @ X977 @ X978))|(X978 @ (esk51_4 @ X975 @ X976 @ X977 @ X978))|((dsetconstr @ X975 @ X977)=(dsetconstr @ X976 @ X978))|((X975)!=(X976)))))))&((((in @ (esk52_2 @ X981 @ X982) @ X981)|(subset @ X981 @ X982))&(~(in @ (esk52_2 @ X981 @ X982) @ X982)|(subset @ X981 @ X982)))&((((X984)!=(X985))|(subset @ X985 @ X984))&((((X986)!=(X987))|(subset @ X986 @ X987))&((((in @ (esk53_2 @ X988 @ X989) @ X988)|(subset @ X988 @ X989))&(~(in @ (esk53_2 @ X988 @ X989) @ X989)|(subset @ X988 @ X989)))&((subset @ emptyset @ X991)&((~(subset @ X992 @ X993)|(~(in @ X994 @ X992)|(in @ X994 @ X993)))&((~(subset @ X995 @ X996)|((in @ X997 @ X996)|~(in @ X997 @ X995)))&((~(in @ X1000 @ X998)|((in @ X1000 @ X999)|~(subset @ X998 @ X999)))&(((subset @ X1001 @ X1002)|((X1001)!=(X1002)))&((~(in @ X1005 @ X1003)|((in @ X1005 @ X1004)|((X1003)!=(X1004))))&((subset @ X1006 @ X1006)&((~(subset @ X1007 @ X1008)|(~(subset @ X1008 @ X1009)|(subset @ X1007 @ X1009)))&((subset @ X1011 @ (setadjoin @ X1010 @ X1011))&((~(subset @ X1012 @ X1014)|(subset @ X1012 @ (setadjoin @ X1013 @ X1014)))&((~(subset @ X1015 @ X1016)|(in @ X1015 @ (powerset @ X1016)))&((~(subset @ X1017 @ X1018)|(~(subset @ X1018 @ X1017)|((X1017)=(X1018))))&((~(subset @ X1019 @ emptyset)|((X1019)=(emptyset)))&((~(subset @ X1021 @ X1020)|(in @ X1021 @ (powerset @ X1020)))&((~(in @ X1023 @ (powerset @ X1022))|(subset @ X1023 @ X1022))&((in @ X1024 @ (powerset @ X1024))&((~(subset @ X1025 @ X1026)|(subset @ (powerset @ X1025) @ (powerset @ X1026)))&((in @ (dsetconstr @ X1027 @ X1028) @ (powerset @ X1027))&((subset @ (dsetconstr @ X1029 @ X1030) @ X1029)&((~(in @ X1033 @ X1031)|(in @ X1033 @ (binunion @ X1031 @ X1032)))&((in @ X1035 @ (setadjoin @ X1034 @ (setadjoin @ X1035 @ emptyset)))&((~(in @ X1038 @ X1037)|(in @ X1038 @ (binunion @ X1036 @ X1037)))&(((((in @ X1041 @ X1040)|(X1042)|(in @ X1041 @ X1039)|~(in @ X1041 @ (binunion @ X1039 @ X1040)))&(~(X1042)|(X1042)|(in @ X1041 @ X1039)|~(in @ X1041 @ (binunion @ X1039 @ X1040))))&(((in @ X1041 @ X1040)|(X1042)|~(X1042)|~(in @ X1041 @ (binunion @ X1039 @ X1040)))&(~(X1042)|(X1042)|~(X1042)|~(in @ X1041 @ (binunion @ X1039 @ X1040)))))&((~(in @ X1045 @ (binunion @ X1043 @ X1044))|((in @ X1045 @ X1043)|(in @ X1045 @ X1044)))&((subset @ X1046 @ (binunion @ X1046 @ X1047))&((subset @ X1049 @ (binunion @ X1048 @ X1049))&((~(in @ X1052 @ X1050)|(~(in @ X1052 @ X1051)|(in @ X1052 @ (binintersect @ X1050 @ X1051))))&((~(subset @ X1055 @ X1053)|(~(subset @ X1055 @ X1054)|(subset @ X1055 @ (binintersect @ X1053 @ X1054))))&((~(in @ X1058 @ (binintersect @ X1056 @ X1057))|(in @ X1058 @ X1056))&((subset @ (binintersect @ X1059 @ X1060) @ X1059)&((~(subset @ X1061 @ X1062)|((binintersect @ X1061 @ X1062)=(X1061)))&((((binintersect @ X1063 @ X1064)!=(X1064))|(subset @ X1064 @ X1063))&((~(in @ X1067 @ (binintersect @ X1065 @ X1066))|(in @ X1067 @ X1066))&((((in @ (esk54_2 @ X1068 @ X1069) @ X1068)|((binintersect @ X1068 @ X1069)=(emptyset)))&((in @ (esk54_2 @ X1068 @ X1069) @ X1069)|((binintersect @ X1068 @ X1069)=(emptyset))))&((subset @ (binintersect @ X1071 @ X1072) @ X1072)&((~(subset @ X1074 @ X1073)|((binintersect @ X1073 @ X1074)=(X1074)))&((((binintersect @ X1075 @ X1076)!=(X1075))|(subset @ X1075 @ X1076))&(((binintersect @ X1077 @ (binunion @ X1078 @ X1079))=(binunion @ (binintersect @ X1077 @ X1078) @ (binintersect @ X1077 @ X1079)))&((~(in @ X1082 @ X1080)|((in @ X1082 @ X1081)|(in @ X1082 @ (setminus @ X1080 @ X1081))))&((~(in @ X1085 @ (setminus @ X1083 @ X1084))|(in @ X1085 @ X1083))&((~(in @ X1088 @ (setminus @ X1086 @ X1087))|~(in @ X1088 @ X1087))&((~(subset @ X1089 @ X1090)|((setminus @ X1089 @ X1090)=(emptyset)))&(((in @ X1093 @ (setminus @ X1091 @ X1092))|(~(in @ X1093 @ X1091)|(in @ X1093 @ X1092)))&(((in @ X1096 @ (setminus @ X1094 @ X1095))|((in @ X1096 @ X1095)|~(in @ X1096 @ X1094)))&(((in @ X1099 @ X1097)|~(in @ X1099 @ (setminus @ X1097 @ X1098)))&((~(in @ X1102 @ X1101)|~(in @ X1102 @ (setminus @ X1100 @ X1101)))&((subset @ (setminus @ X1103 @ X1104) @ X1103)&(((setminus @ esk55_0 @ esk56_0)=(emptyset))&~(subset @ esk55_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_169])])])])])])])).
29.93/4.35	thf(c_0_171, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setminus @ X3 @ X4))|(in @ X2 @ X4)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_170])).
29.93/4.35	thf(c_0_172, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_170])).
29.93/4.35	thf(c_0_173, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ (setminus @ X2 @ X4))|(in @ (esk53_2 @ X2 @ X3) @ X4)|(subset @ X2 @ X3))), inference(spm,[status(thm)],[c_0_171, c_0_172])).
29.93/4.35	thf(c_0_174, negated_conjecture, ((setminus @ esk55_0 @ esk56_0)=(emptyset)), inference(split_conjunct,[status(thm)],[c_0_170])).
29.93/4.35	thf(c_0_175, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_170])).
29.93/4.35	thf(c_0_176, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk53_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_170])).
29.93/4.35	thf(c_0_177, negated_conjecture, ![X2:$i]:(((in @ (esk53_2 @ esk55_0 @ X2) @ esk56_0)|(subset @ esk55_0 @ X2))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_174]), c_0_175])).
29.93/4.35	thf(c_0_178, negated_conjecture, ~((subset @ esk55_0 @ esk56_0)), inference(split_conjunct,[status(thm)],[c_0_170])).
29.93/4.35	thf(c_0_179, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_177]), c_0_178]), ['proof']).
29.93/4.35	# SZS output end CNFRefutation
29.93/4.35	# Parsed axioms                        : 274
29.93/4.35	# Removed by relevancy pruning/SinE    : 146
29.93/4.35	# Initial clauses                      : 242
29.93/4.35	# Removed in clause preprocessing      : 17
29.93/4.35	# Initial clauses in saturation        : 225
29.93/4.35	# Processed clauses                    : 16233
29.93/4.35	# ...of these trivial                  : 275
29.93/4.35	# ...subsumed                          : 12882
29.93/4.35	# ...remaining for further processing  : 3076
29.93/4.35	# Other redundant clauses eliminated   : 229
29.93/4.35	# Clauses deleted for lack of memory   : 0
29.93/4.35	# Backward-subsumed                    : 101
29.93/4.35	# Backward-rewritten                   : 32
29.93/4.35	# Generated clauses                    : 386089
29.93/4.35	# ...of the previous two non-redundant : 281580
29.93/4.35	# ...aggressively subsumed             : 0
29.93/4.35	# Contextual simplify-reflections      : 4
29.93/4.35	# Paramodulations                      : 385777
29.93/4.35	# Factorizations                       : 68
29.93/4.35	# NegExts                              : 0
29.93/4.35	# Equation resolutions                 : 229
29.93/4.35	# Disequality decompositions           : 0
29.93/4.35	# Total rewrite steps                  : 181547
29.93/4.35	# ...of those cached                   : 173720
29.93/4.35	# Propositional unsat checks           : 0
29.93/4.35	#    Propositional check models        : 0
29.93/4.35	#    Propositional check unsatisfiable : 0
29.93/4.35	#    Propositional clauses             : 0
29.93/4.35	#    Propositional clauses after purity: 0
29.93/4.35	#    Propositional unsat core size     : 0
29.93/4.35	#    Propositional preprocessing time  : 0.000
29.93/4.35	#    Propositional encoding time       : 0.000
29.93/4.35	#    Propositional solver time         : 0.000
29.93/4.35	#    Success case prop preproc time    : 0.000
29.93/4.35	#    Success case prop encoding time   : 0.000
29.93/4.35	#    Success case prop solver time     : 0.000
29.93/4.35	# Current number of processed clauses  : 2722
29.93/4.35	#    Positive orientable unit clauses  : 633
29.93/4.35	#    Positive unorientable unit clauses: 0
29.93/4.35	#    Negative unit clauses             : 40
29.93/4.35	#    Non-unit-clauses                  : 2049
29.93/4.35	# Current number of unprocessed clauses: 265389
29.93/4.35	# ...number of literals in the above   : 804494
29.93/4.35	# Current number of archived formulas  : 0
29.93/4.35	# Current number of archived clauses   : 341
29.93/4.35	# Clause-clause subsumption calls (NU) : 252370
29.93/4.35	# Rec. Clause-clause subsumption calls : 208471
29.93/4.35	# Non-unit clause-clause subsumptions  : 12037
29.93/4.35	# Unit Clause-clause subsumption calls : 11160
29.93/4.35	# Rewrite failures with RHS unbound    : 0
29.93/4.35	# BW rewrite match attempts            : 2841
29.93/4.35	# BW rewrite match successes           : 19
29.93/4.35	# Condensation attempts                : 0
29.93/4.35	# Condensation successes               : 0
29.93/4.35	# Termbank termtop insertions          : 5481458
29.93/4.35	# Search garbage collected termcells   : 12491
29.93/4.35	
29.93/4.35	# -------------------------------------------------
29.93/4.35	# User time                : 3.574 s
29.93/4.35	# System time              : 0.138 s
29.93/4.35	# Total time               : 3.712 s
29.93/4.35	# Maximum resident set size: 5008 pages
29.93/4.35	
29.93/4.35	# -------------------------------------------------
29.93/4.35	# User time                : 3.581 s
29.93/4.35	# System time              : 0.141 s
29.93/4.35	# Total time               : 3.722 s
29.93/4.35	# Maximum resident set size: 2064 pages
29.93/4.35	% E exiting
29.93/4.35	% E exiting
29.93/4.35	EOF