0.13/0.20	% Problem    : Vampire---4.8_8751 : TPTP v0.0.0. Released v0.0.0.
0.13/0.21	% Command    : run_E %s %d THM
0.22/0.42	% Computer : n015.cluster.edu
0.22/0.42	% Model    : x86_64 x86_64
0.22/0.42	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.22/0.42	% Memory   : 8042.1875MB
0.22/0.42	% OS       : Linux 3.10.0-693.el7.x86_64
0.22/0.42	% CPULimit   : 1440
0.22/0.42	% WCLimit    : 180
0.22/0.42	% DateTime   : Mon Jul  3 13:25:40 EDT 2023
0.22/0.42	% CPUTime    : 
0.40/0.63	Running higher-order theorem provingRunning: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751
0.40/0.63	# Version: 3.1pre001-ho
169.42/22.03	# Preprocessing class: HSLMSLSSLLLCHFA.
169.42/22.03	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
169.42/22.03	# Starting ehoh_best5 with 180s (1) cores
169.42/22.03	# Starting almost_fo_3_lam with 180s (1) cores
169.42/22.03	# Starting new_bool_5 with 180s (1) cores
169.42/22.03	# Starting pre_casc_3 with 180s (1) cores
169.42/22.03	# Starting ho_unfolding_8 with 180s (1) cores
169.42/22.03	# Starting new_ho_10_cnf2 with 180s (1) cores
169.42/22.03	# Starting new_bool_3 with 180s (1) cores
169.42/22.03	# Starting new_ho_5 with 180s (1) cores
169.42/22.03	# new_bool_5 with pid 9082 completed with status 0
169.42/22.03	# Result found by new_bool_5
169.42/22.03	# Preprocessing class: HSLMSLSSLLLCHFA.
169.42/22.03	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
169.42/22.03	# Starting ehoh_best5 with 180s (1) cores
169.42/22.03	# Starting almost_fo_3_lam with 180s (1) cores
169.42/22.03	# Starting new_bool_5 with 180s (1) cores
169.42/22.03	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
169.42/22.03	# Search class: HGHSM-FSLM32-MHFMMSBN
169.42/22.03	# Scheduled 10 strats onto 1 cores with 180 seconds (180 total)
169.42/22.03	# Starting ho_unfolding_8 with 33s (1) cores
169.42/22.03	# ho_unfolding_8 with pid 9090 completed with status 0
169.42/22.03	# Result found by ho_unfolding_8
169.42/22.03	# Preprocessing class: HSLMSLSSLLLCHFA.
169.42/22.03	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
169.42/22.03	# Starting ehoh_best5 with 180s (1) cores
169.42/22.03	# Starting almost_fo_3_lam with 180s (1) cores
169.42/22.03	# Starting new_bool_5 with 180s (1) cores
169.42/22.03	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
169.42/22.03	# Search class: HGHSM-FSLM32-MHFMMSBN
169.42/22.03	# Scheduled 10 strats onto 1 cores with 180 seconds (180 total)
169.42/22.03	# Starting ho_unfolding_8 with 33s (1) cores
169.42/22.03	# Preprocessing time       : 0.070 s
169.42/22.03	# Presaturation interreduction done
169.42/22.03	# SatCheck found unsatisfiable ground set
169.42/22.03	
169.42/22.03	# Proof found!
169.42/22.03	# SZS status Theorem
169.42/22.03	# SZS output start CNFRefutation
169.42/22.03	thf(decl_22, type, in: $i > $i > $o).
169.42/22.03	thf(decl_23, type, exu: ($i > $o) > $o).
169.42/22.03	thf(decl_24, type, setextAx: $o).
169.42/22.03	thf(decl_25, type, emptyset: $i).
169.42/22.03	thf(decl_26, type, emptysetAx: $o).
169.42/22.03	thf(decl_27, type, setadjoin: $i > $i > $i).
169.42/22.03	thf(decl_28, type, setadjoinAx: $o).
169.42/22.03	thf(decl_29, type, powerset: $i > $i).
169.42/22.03	thf(decl_30, type, powersetAx: $o).
169.42/22.03	thf(decl_31, type, setunion: $i > $i).
169.42/22.03	thf(decl_32, type, setunionAx: $o).
169.42/22.03	thf(decl_33, type, omega: $i).
169.42/22.03	thf(decl_34, type, omega0Ax: $o).
169.42/22.03	thf(decl_35, type, omegaSAx: $o).
169.42/22.03	thf(decl_36, type, omegaIndAx: $o).
169.42/22.03	thf(decl_37, type, replAx: $o).
169.42/22.03	thf(decl_38, type, foundationAx: $o).
169.42/22.03	thf(decl_39, type, wellorderingAx: $o).
169.42/22.03	thf(decl_40, type, descr: ($i > $o) > $i).
169.42/22.03	thf(decl_41, type, descrp: $o).
169.42/22.03	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_43, type, dsetconstrI: $o).
169.42/22.03	thf(decl_44, type, dsetconstrEL: $o).
169.42/22.03	thf(decl_45, type, dsetconstrER: $o).
169.42/22.03	thf(decl_46, type, exuE1: $o).
169.42/22.03	thf(decl_47, type, prop2set: $o > $i).
169.42/22.03	thf(decl_48, type, prop2setE: $o).
169.42/22.03	thf(decl_49, type, emptysetE: $o).
169.42/22.03	thf(decl_50, type, emptysetimpfalse: $o).
169.42/22.03	thf(decl_51, type, notinemptyset: $o).
169.42/22.03	thf(decl_52, type, exuE3e: $o).
169.42/22.03	thf(decl_53, type, setext: $o).
169.42/22.03	thf(decl_54, type, emptyI: $o).
169.42/22.03	thf(decl_55, type, noeltsimpempty: $o).
169.42/22.03	thf(decl_56, type, setbeta: $o).
169.42/22.03	thf(decl_57, type, nonempty: $i > $o).
169.42/22.03	thf(decl_58, type, nonemptyE1: $o).
169.42/22.03	thf(decl_59, type, nonemptyI: $o).
169.42/22.03	thf(decl_60, type, nonemptyI1: $o).
169.42/22.03	thf(decl_61, type, setadjoinIL: $o).
169.42/22.03	thf(decl_62, type, emptyinunitempty: $o).
169.42/22.03	thf(decl_63, type, setadjoinIR: $o).
169.42/22.03	thf(decl_64, type, setadjoinE: $o).
169.42/22.03	thf(decl_65, type, setadjoinOr: $o).
169.42/22.03	thf(decl_66, type, setoftrueEq: $o).
169.42/22.03	thf(decl_67, type, powersetI: $o).
169.42/22.03	thf(decl_68, type, emptyinPowerset: $o).
169.42/22.03	thf(decl_69, type, emptyInPowerset: $o).
169.42/22.03	thf(decl_70, type, powersetE: $o).
169.42/22.03	thf(decl_71, type, setunionI: $o).
169.42/22.03	thf(decl_72, type, setunionE: $o).
169.42/22.03	thf(decl_73, type, subPowSU: $o).
169.42/22.03	thf(decl_74, type, exuE2: $o).
169.42/22.03	thf(decl_75, type, nonemptyImpWitness: $o).
169.42/22.03	thf(decl_76, type, uniqinunit: $o).
169.42/22.03	thf(decl_77, type, notinsingleton: $o).
169.42/22.03	thf(decl_78, type, eqinunit: $o).
169.42/22.03	thf(decl_79, type, singletonsswitch: $o).
169.42/22.03	thf(decl_80, type, upairsetE: $o).
169.42/22.03	thf(decl_81, type, upairsetIL: $o).
169.42/22.03	thf(decl_82, type, upairsetIR: $o).
169.42/22.03	thf(decl_83, type, emptyE1: $o).
169.42/22.03	thf(decl_84, type, vacuousDall: $o).
169.42/22.03	thf(decl_85, type, quantDeMorgan1: $o).
169.42/22.03	thf(decl_86, type, quantDeMorgan2: $o).
169.42/22.03	thf(decl_87, type, quantDeMorgan3: $o).
169.42/22.03	thf(decl_88, type, quantDeMorgan4: $o).
169.42/22.03	thf(decl_89, type, prop2setI: $o).
169.42/22.03	thf(decl_91, type, prop2set2propI: $o).
169.42/22.03	thf(decl_92, type, notdexE: $o).
169.42/22.03	thf(decl_93, type, notdallE: $o).
169.42/22.03	thf(decl_94, type, exuI1: $o).
169.42/22.03	thf(decl_95, type, exuI3: $o).
169.42/22.03	thf(decl_96, type, exuI2: $o).
169.42/22.03	thf(decl_97, type, inCongP: $o).
169.42/22.03	thf(decl_98, type, in__Cong: $o).
169.42/22.03	thf(decl_99, type, exuE3u: $o).
169.42/22.03	thf(decl_100, type, exu__Cong: $o).
169.42/22.03	thf(decl_101, type, emptyset__Cong: $o).
169.42/22.03	thf(decl_102, type, setadjoin__Cong: $o).
169.42/22.03	thf(decl_103, type, powerset__Cong: $o).
169.42/22.03	thf(decl_104, type, setunion__Cong: $o).
169.42/22.03	thf(decl_105, type, omega__Cong: $o).
169.42/22.03	thf(decl_106, type, exuEu: $o).
169.42/22.03	thf(decl_107, type, descr__Cong: $o).
169.42/22.03	thf(decl_108, type, dsetconstr__Cong: $o).
169.42/22.03	thf(decl_109, type, subset: $i > $i > $o).
169.42/22.03	thf(decl_112, type, subsetI1: $o).
169.42/22.03	thf(decl_113, type, eqimpsubset2: $o).
169.42/22.03	thf(decl_114, type, eqimpsubset1: $o).
169.42/22.03	thf(decl_115, type, subsetI2: $o).
169.42/22.03	thf(decl_116, type, emptysetsubset: $o).
169.42/22.03	thf(decl_117, type, subsetE: $o).
169.42/22.03	thf(decl_118, type, subsetE2: $o).
169.42/22.03	thf(decl_119, type, notsubsetI: $o).
169.42/22.03	thf(decl_120, type, notequalI1: $o).
169.42/22.03	thf(decl_121, type, notequalI2: $o).
169.42/22.03	thf(decl_122, type, subsetRefl: $o).
169.42/22.03	thf(decl_123, type, subsetTrans: $o).
169.42/22.03	thf(decl_124, type, setadjoinSub: $o).
169.42/22.03	thf(decl_125, type, setadjoinSub2: $o).
169.42/22.03	thf(decl_126, type, subset2powerset: $o).
169.42/22.03	thf(decl_127, type, setextsub: $o).
169.42/22.03	thf(decl_128, type, subsetemptysetimpeq: $o).
169.42/22.03	thf(decl_129, type, powersetI1: $o).
169.42/22.03	thf(decl_130, type, powersetE1: $o).
169.42/22.03	thf(decl_131, type, inPowerset: $o).
169.42/22.03	thf(decl_132, type, powersetsubset: $o).
169.42/22.03	thf(decl_133, type, sepInPowerset: $o).
169.42/22.03	thf(decl_134, type, sepSubset: $o).
169.42/22.03	thf(decl_135, type, binunion: $i > $i > $i).
169.42/22.03	thf(decl_136, type, binunionIL: $o).
169.42/22.03	thf(decl_137, type, upairset2IR: $o).
169.42/22.03	thf(decl_138, type, binunionIR: $o).
169.42/22.03	thf(decl_139, type, binunionEcases: $o).
169.42/22.03	thf(decl_140, type, binunionE: $o).
169.42/22.03	thf(decl_141, type, binunionLsub: $o).
169.42/22.03	thf(decl_142, type, binunionRsub: $o).
169.42/22.03	thf(decl_143, type, binintersect: $i > $i > $i).
169.42/22.03	thf(decl_144, type, binintersectI: $o).
169.42/22.03	thf(decl_145, type, binintersectSubset5: $o).
169.42/22.03	thf(decl_146, type, binintersectEL: $o).
169.42/22.03	thf(decl_147, type, binintersectLsub: $o).
169.42/22.03	thf(decl_148, type, binintersectSubset2: $o).
169.42/22.03	thf(decl_149, type, binintersectSubset3: $o).
169.42/22.03	thf(decl_150, type, binintersectER: $o).
169.42/22.03	thf(decl_151, type, disjointsetsI1: $o).
169.42/22.03	thf(decl_152, type, binintersectRsub: $o).
169.42/22.03	thf(decl_153, type, binintersectSubset4: $o).
169.42/22.03	thf(decl_154, type, binintersectSubset1: $o).
169.42/22.03	thf(decl_155, type, bs114d: $o).
169.42/22.03	thf(decl_157, type, setminus: $i > $i > $i).
169.42/22.03	thf(decl_158, type, setminusI: $o).
169.42/22.03	thf(decl_159, type, setminusEL: $o).
169.42/22.03	thf(decl_160, type, setminusER: $o).
169.42/22.03	thf(decl_161, type, setminusSubset2: $o).
169.42/22.03	thf(decl_162, type, setminusERneg: $o).
169.42/22.03	thf(decl_163, type, setminusELneg: $o).
169.42/22.03	thf(decl_164, type, setminusILneg: $o).
169.42/22.03	thf(decl_165, type, setminusIRneg: $o).
169.42/22.03	thf(decl_166, type, setminusLsub: $o).
169.42/22.03	thf(decl_167, type, setminusSubset1: $o).
169.42/22.03	thf(decl_168, type, symdiff: $i > $i > $i).
169.42/22.03	thf(decl_169, type, symdiffE: $o).
169.42/22.03	thf(decl_170, type, symdiffI1: $o).
169.42/22.03	thf(decl_171, type, symdiffI2: $o).
169.42/22.03	thf(decl_172, type, symdiffIneg1: $o).
169.42/22.03	thf(decl_173, type, symdiffIneg2: $o).
169.42/22.03	thf(decl_174, type, iskpair: $i > $o).
169.42/22.03	thf(decl_175, type, secondinupair: $o).
169.42/22.03	thf(decl_176, type, setukpairIL: $o).
169.42/22.03	thf(decl_177, type, setukpairIR: $o).
169.42/22.03	thf(decl_178, type, kpairiskpair: $o).
169.42/22.03	thf(decl_179, type, kpair: $i > $i > $i).
169.42/22.03	thf(decl_180, type, kpairp: $o).
169.42/22.03	thf(decl_181, type, cartprod: $i > $i > $i).
169.42/22.03	thf(decl_182, type, singletonsubset: $o).
169.42/22.03	thf(decl_183, type, singletoninpowerset: $o).
169.42/22.03	thf(decl_184, type, singletoninpowunion: $o).
169.42/22.03	thf(decl_185, type, upairset2E: $o).
169.42/22.03	thf(decl_186, type, upairsubunion: $o).
169.42/22.03	thf(decl_187, type, upairinpowunion: $o).
169.42/22.03	thf(decl_188, type, ubforcartprodlem1: $o).
169.42/22.03	thf(decl_189, type, ubforcartprodlem2: $o).
169.42/22.03	thf(decl_190, type, ubforcartprodlem3: $o).
169.42/22.03	thf(decl_191, type, cartprodpairin: $o).
169.42/22.03	thf(decl_192, type, cartprodmempair1: $o).
169.42/22.03	thf(decl_193, type, cartprodmempair: $o).
169.42/22.03	thf(decl_194, type, setunionE2: $o).
169.42/22.03	thf(decl_195, type, setunionsingleton1: $o).
169.42/22.03	thf(decl_196, type, setunionsingleton2: $o).
169.42/22.03	thf(decl_197, type, setunionsingleton: $o).
169.42/22.03	thf(decl_198, type, singleton: $i > $o).
169.42/22.03	thf(decl_199, type, singletonprop: $o).
169.42/22.03	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
169.42/22.03	thf(decl_201, type, ex1E1: $o).
169.42/22.03	thf(decl_202, type, ex1I: $o).
169.42/22.03	thf(decl_203, type, ex1I2: $o).
169.42/22.03	thf(decl_204, type, singletonsuniq: $o).
169.42/22.03	thf(decl_209, type, setukpairinjL1: $o).
169.42/22.03	thf(decl_210, type, kfstsingleton: $o).
169.42/22.03	thf(decl_211, type, theprop: $o).
169.42/22.03	thf(decl_212, type, kfst: $i > $i).
169.42/22.03	thf(decl_213, type, kfstpairEq: $o).
169.42/22.03	thf(decl_214, type, cartprodfstin: $o).
169.42/22.03	thf(decl_215, type, setukpairinjL2: $o).
169.42/22.03	thf(decl_216, type, setukpairinjL: $o).
169.42/22.03	thf(decl_217, type, setukpairinjR11: $o).
169.42/22.03	thf(decl_218, type, setukpairinjR12: $o).
169.42/22.03	thf(decl_219, type, setukpairinjR1: $o).
169.42/22.03	thf(decl_220, type, upairequniteq: $o).
169.42/22.03	thf(decl_221, type, setukpairinjR2: $o).
169.42/22.03	thf(decl_222, type, setukpairinjR: $o).
169.42/22.03	thf(decl_223, type, ksndsingleton: $o).
169.42/22.03	thf(decl_224, type, ksnd: $i > $i).
169.42/22.03	thf(decl_225, type, ksndpairEq: $o).
169.42/22.03	thf(decl_226, type, kpairsurjEq: $o).
169.42/22.03	thf(decl_227, type, cartprodsndin: $o).
169.42/22.03	thf(decl_228, type, cartprodpairmemEL: $o).
169.42/22.03	thf(decl_229, type, cartprodpairmemER: $o).
169.42/22.03	thf(decl_230, type, cartprodmempaircEq: $o).
169.42/22.03	thf(decl_231, type, cartprodfstpairEq: $o).
169.42/22.03	thf(decl_232, type, cartprodsndpairEq: $o).
169.42/22.03	thf(decl_233, type, cartprodpairsurjEq: $o).
169.42/22.03	thf(decl_234, type, breln: $i > $i > $i > $o).
169.42/22.03	thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
169.42/22.03	thf(decl_236, type, dpsetconstrI: $o).
169.42/22.03	thf(decl_237, type, dpsetconstrSub: $o).
169.42/22.03	thf(decl_238, type, setOfPairsIsBReln: $o).
169.42/22.03	thf(decl_239, type, dpsetconstrERa: $o).
169.42/22.03	thf(decl_240, type, dpsetconstrEL1: $o).
169.42/22.03	thf(decl_241, type, dpsetconstrEL2: $o).
169.42/22.03	thf(decl_242, type, dpsetconstrER: $o).
169.42/22.03	thf(decl_243, type, func: $i > $i > $i > $o).
169.42/22.03	thf(decl_244, type, funcSet: $i > $i > $i).
169.42/22.03	thf(decl_245, type, funcImageSingleton: $o).
169.42/22.03	thf(decl_246, type, apProp: $o).
169.42/22.03	thf(decl_247, type, ap: $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_248, type, app: $o).
169.42/22.03	thf(decl_249, type, infuncsetfunc: $o).
169.42/22.03	thf(decl_250, type, ap2p: $o).
169.42/22.03	thf(decl_251, type, funcinfuncset: $o).
169.42/22.03	thf(decl_252, type, lamProp: $o).
169.42/22.03	thf(decl_253, type, lam: $i > $i > ($i > $i) > $i).
169.42/22.03	thf(decl_254, type, lamp: $o).
169.42/22.03	thf(decl_255, type, lam2p: $o).
169.42/22.03	thf(decl_256, type, brelnall1: $o).
169.42/22.03	thf(decl_257, type, brelnall2: $o).
169.42/22.03	thf(decl_258, type, ex1E2: $o).
169.42/22.03	thf(decl_259, type, funcGraphProp1: $o).
169.42/22.03	thf(decl_260, type, funcGraphProp3: $o).
169.42/22.03	thf(decl_261, type, funcGraphProp2: $o).
169.42/22.03	thf(decl_262, type, funcextLem: $o).
169.42/22.03	thf(decl_263, type, funcGraphProp4: $o).
169.42/22.03	thf(decl_264, type, subbreln: $o).
169.42/22.03	thf(decl_265, type, eqbreln: $o).
169.42/22.03	thf(decl_266, type, funcext: $o).
169.42/22.03	thf(decl_267, type, funcext2: $o).
169.42/22.03	thf(decl_268, type, ap2apEq1: $o).
169.42/22.03	thf(decl_269, type, ap2apEq2: $o).
169.42/22.03	thf(decl_270, type, beta1: $o).
169.42/22.03	thf(decl_271, type, eta1: $o).
169.42/22.03	thf(decl_272, type, lam2lamEq: $o).
169.42/22.03	thf(decl_273, type, beta2: $o).
169.42/22.03	thf(decl_274, type, eta2: $o).
169.42/22.03	thf(decl_275, type, iffalseProp1: $o).
169.42/22.03	thf(decl_276, type, iffalseProp2: $o).
169.42/22.03	thf(decl_277, type, iftrueProp1: $o).
169.42/22.03	thf(decl_278, type, iftrueProp2: $o).
169.42/22.03	thf(decl_279, type, ifSingleton: $o).
169.42/22.03	thf(decl_280, type, if: $i > $o > $i > $i > $i).
169.42/22.03	thf(decl_281, type, ifp: $o).
169.42/22.03	thf(decl_282, type, theeq: $o).
169.42/22.03	thf(decl_283, type, iftrue: $o).
169.42/22.03	thf(decl_284, type, iffalse: $o).
169.42/22.03	thf(decl_285, type, iftrueorfalse: $o).
169.42/22.03	thf(decl_286, type, binintersectT_lem: $o).
169.42/22.03	thf(decl_287, type, binunionT_lem: $o).
169.42/22.03	thf(decl_288, type, powersetT_lem: $o).
169.42/22.03	thf(decl_289, type, setminusT_lem: $o).
169.42/22.03	thf(decl_290, type, complementT_lem: $o).
169.42/22.03	thf(decl_291, type, setextT: $o).
169.42/22.03	thf(decl_292, type, subsetTI: $o).
169.42/22.03	thf(decl_293, type, powersetTI1: $o).
169.42/22.03	thf(decl_294, type, powersetTE1: $o).
169.42/22.03	thf(decl_295, type, complementTI1: $o).
169.42/22.03	thf(decl_296, type, complementTE1: $o).
169.42/22.03	thf(decl_297, type, binintersectTELcontra: $o).
169.42/22.03	thf(decl_298, type, binintersectTERcontra: $o).
169.42/22.03	thf(decl_299, type, contrasubsetT: $o).
169.42/22.03	thf(decl_300, type, contrasubsetT1: $o).
169.42/22.03	thf(decl_301, type, contrasubsetT2: $o).
169.42/22.03	thf(decl_302, type, contrasubsetT3: $o).
169.42/22.03	thf(decl_303, type, doubleComplementI1: $o).
169.42/22.03	thf(decl_304, type, doubleComplementE1: $o).
169.42/22.03	thf(decl_305, type, doubleComplementSub1: $o).
169.42/22.03	thf(decl_306, type, doubleComplementSub2: $o).
169.42/22.03	thf(decl_307, type, doubleComplementEq: $o).
169.42/22.03	thf(decl_308, type, complementTnotintersectT: $o).
169.42/22.03	thf(decl_309, type, complementImpComplementIntersect: $o).
169.42/22.03	thf(decl_310, type, complementSubsetComplementIntersect: $o).
169.42/22.03	thf(decl_311, type, complementInPowersetComplementIntersect: $o).
169.42/22.03	thf(decl_312, type, contraSubsetComplement: $o).
169.42/22.03	thf(decl_313, type, complementTcontraSubset: $o).
169.42/22.03	thf(decl_314, type, binunionTILcontra: $o).
169.42/22.03	thf(decl_315, type, binunionTIRcontra: $o).
169.42/22.03	thf(decl_316, type, inIntersectImpInUnion: $o).
169.42/22.03	thf(decl_317, type, inIntersectImpInUnion2: $o).
169.42/22.03	thf(decl_318, type, inIntersectImpInIntersectUnions: $o).
169.42/22.03	thf(decl_319, type, intersectInPowersetIntersectUnions: $o).
169.42/22.03	thf(decl_320, type, inComplementUnionImpNotIn1: $o).
169.42/22.03	thf(decl_321, type, inComplementUnionImpInComplement1: $o).
169.42/22.03	thf(decl_322, type, binunionTE: $o).
169.42/22.03	thf(decl_323, type, binunionTEcontra: $o).
169.42/22.03	thf(decl_324, type, demorgan2a1: $o).
169.42/22.03	thf(decl_325, type, complementUnionInPowersetComplement: $o).
169.42/22.03	thf(decl_326, type, demorgan2a2: $o).
169.42/22.03	thf(decl_327, type, demorgan1a: $o).
169.42/22.03	thf(decl_328, type, demorgan1b: $o).
169.42/22.03	thf(decl_329, type, demorgan1: $o).
169.42/22.03	thf(decl_330, type, demorgan2a: $o).
169.42/22.03	thf(decl_331, type, demorgan2b2: $o).
169.42/22.03	thf(decl_332, type, demorgan2b: $o).
169.42/22.03	thf(decl_333, type, demorgan2: $o).
169.42/22.03	thf(decl_334, type, woz13rule0: $o).
169.42/22.03	thf(decl_335, type, woz13rule1: $o).
169.42/22.03	thf(decl_336, type, woz13rule2: $o).
169.42/22.03	thf(decl_337, type, woz13rule3: $o).
169.42/22.03	thf(decl_338, type, woz13rule4: $o).
169.42/22.03	thf(decl_339, type, woz1_1: $o).
169.42/22.03	thf(decl_340, type, woz1_2: $o).
169.42/22.03	thf(decl_341, type, woz1_3: $o).
169.42/22.03	thf(decl_342, type, woz1_4: $o).
169.42/22.03	thf(decl_343, type, woz1_5: $o).
169.42/22.03	thf(decl_344, type, breln1: $i > $i > $o).
169.42/22.03	thf(decl_345, type, breln1all2: $o).
169.42/22.03	thf(decl_346, type, breln1Set: $i > $i).
169.42/22.03	thf(decl_347, type, breln1SetBreln1: $o).
169.42/22.03	thf(decl_354, type, choice2fnsingleton: $o).
169.42/22.03	thf(decl_355, type, setOfPairsIsBReln1: $o).
169.42/22.03	thf(decl_356, type, breln1all1: $o).
169.42/22.03	thf(decl_357, type, subbreln1: $o).
169.42/22.03	thf(decl_358, type, eqbreln1: $o).
169.42/22.03	thf(decl_359, type, breln1invset: $i > $i > $i).
169.42/22.03	thf(decl_360, type, breln1invprop: $o).
169.42/22.03	thf(decl_361, type, breln1invI: $o).
169.42/22.03	thf(decl_362, type, breln1invE: $o).
169.42/22.03	thf(decl_363, type, breln1compset: $i > $i > $i > $i).
169.42/22.03	thf(decl_364, type, breln1compprop: $o).
169.42/22.03	thf(decl_365, type, breln1compI: $o).
169.42/22.03	thf(decl_366, type, breln1compE: $o).
169.42/22.03	thf(decl_367, type, breln1compEex: $o).
169.42/22.03	thf(decl_368, type, breln1unionprop: $o).
169.42/22.03	thf(decl_369, type, breln1unionIL: $o).
169.42/22.03	thf(decl_370, type, breln1unionIR: $o).
169.42/22.03	thf(decl_371, type, breln1unionI: $o).
169.42/22.03	thf(decl_372, type, breln1unionE: $o).
169.42/22.03	thf(decl_373, type, breln1unionEcases: $o).
169.42/22.03	thf(decl_374, type, breln1unionCommutes: $o).
169.42/22.03	thf(decl_375, type, woz2Ex: $o).
169.42/22.03	thf(decl_376, type, woz2W: $o).
169.42/22.03	thf(decl_377, type, woz2A: $o).
169.42/22.03	thf(decl_378, type, woz2B: $o).
169.42/22.03	thf(decl_379, type, image1Ex: $o).
169.42/22.03	thf(decl_380, type, image1Ex1: $o).
169.42/22.03	thf(decl_381, type, image1: $i > ($i > $i) > $i).
169.42/22.03	thf(decl_382, type, image1Equiv: $o).
169.42/22.03	thf(decl_383, type, image1E: $o).
169.42/22.03	thf(decl_384, type, image1I: $o).
169.42/22.03	thf(decl_385, type, injective: $i > $i > $i > $o).
169.42/22.03	thf(decl_386, type, injFuncSet: $i > $i > $i).
169.42/22.03	thf(decl_387, type, injFuncInInjFuncSet: $o).
169.42/22.03	thf(decl_388, type, injFuncSetFuncIn: $o).
169.42/22.03	thf(decl_389, type, injFuncSetFuncInj: $o).
169.42/22.03	thf(decl_390, type, surjective: $i > $i > $i > $o).
169.42/22.03	thf(decl_391, type, surjFuncSet: $i > $i > $i).
169.42/22.03	thf(decl_392, type, surjFuncSetFuncIn: $o).
169.42/22.03	thf(decl_393, type, surjFuncSetFuncSurj: $o).
169.42/22.03	thf(decl_394, type, leftInvIsSurj: $o).
169.42/22.03	thf(decl_395, type, surjCantorThm: $o).
169.42/22.03	thf(decl_396, type, foundation2: $o).
169.42/22.03	thf(decl_397, type, epred1_0: $o).
169.42/22.03	thf(decl_398, type, esk1_2: $i > $i > $i).
169.42/22.03	thf(decl_399, type, esk2_2: $i > $i > $i).
169.42/22.03	thf(decl_400, type, esk3_2: $i > $i > $i).
169.42/22.03	thf(decl_401, type, esk4_1: $i > $i).
169.42/22.03	thf(decl_402, type, esk5_2: ($i > $i > $o) > $i > $i).
169.42/22.03	thf(decl_403, type, esk6_2: ($i > $i > $o) > $i > $i).
169.42/22.03	thf(decl_404, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
169.42/22.03	thf(decl_405, type, esk8_1: $i > $i).
169.42/22.03	thf(decl_406, type, esk9_1: ($i > $o) > $i).
169.42/22.03	thf(decl_407, type, esk10_1: ($i > $o) > $i).
169.42/22.03	thf(decl_408, type, esk11_2: $i > $i > $i).
169.42/22.03	thf(decl_409, type, esk12_2: $i > $i > $i).
169.42/22.03	thf(decl_410, type, esk13_1: $i > $i).
169.42/22.03	thf(decl_411, type, esk14_1: $i > $i).
169.42/22.03	thf(decl_412, type, esk15_1: $i > $i).
169.42/22.03	thf(decl_413, type, esk16_2: $i > $i > $i).
169.42/22.03	thf(decl_414, type, esk17_3: $i > $i > $o > $i).
169.42/22.03	thf(decl_415, type, esk18_1: ($i > $o) > $i).
169.42/22.03	thf(decl_416, type, esk19_1: $i > $i).
169.42/22.03	thf(decl_417, type, esk20_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_418, type, esk21_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_419, type, esk22_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_420, type, esk23_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_421, type, esk24_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_422, type, esk25_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_423, type, esk26_2: ($i > $o) > $i > $i).
169.42/22.03	thf(decl_424, type, esk27_1: ($i > $o) > $i).
169.42/22.03	thf(decl_425, type, esk28_1: ($i > $o) > $i).
169.42/22.03	thf(decl_426, type, esk29_2: ($i > $o) > $i > $i).
169.42/22.03	thf(decl_427, type, esk30_2: ($i > $o) > ($i > $o) > $i).
169.42/22.03	thf(decl_428, type, esk31_2: ($i > $o) > ($i > $o) > $i).
169.42/22.03	thf(decl_429, type, esk32_2: ($i > $o) > ($i > $o) > $i).
169.42/22.03	thf(decl_430, type, esk33_2: ($i > $o) > ($i > $o) > $i).
169.42/22.03	thf(decl_431, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
169.42/22.03	thf(decl_432, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
169.42/22.03	thf(decl_433, type, esk36_2: $i > $i > $i).
169.42/22.03	thf(decl_434, type, esk37_2: $i > $i > $i).
169.42/22.03	thf(decl_435, type, esk38_2: $i > $i > $i).
169.42/22.03	thf(decl_436, type, esk39_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_437, type, esk40_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_438, type, esk41_2: $i > $i > $i).
169.42/22.03	thf(decl_439, type, esk42_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_440, type, esk43_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_441, type, esk44_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_442, type, esk45_3: $i > ($i > $o) > $i > $i).
169.42/22.03	thf(decl_443, type, esk46_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_444, type, esk47_2: $i > ($i > $o) > $i).
169.42/22.03	thf(decl_445, type, esk48_3: $i > $i > ($i > $i) > $i).
169.42/22.03	thf(decl_446, type, esk49_3: $i > $i > ($i > $i) > $i).
169.42/22.03	thf(decl_447, type, esk50_3: $i > $i > ($i > $i) > $i).
169.42/22.03	thf(decl_448, type, esk51_4: $i > $i > $i > ($i > $o) > $i).
169.42/22.03	thf(decl_449, type, esk52_4: $i > $i > $i > ($i > $o) > $i).
169.42/22.03	thf(decl_450, type, esk53_4: $i > $i > $i > ($i > $o) > $i).
169.42/22.03	thf(decl_451, type, esk54_4: $i > $i > $i > ($i > $o) > $i).
169.42/22.03	thf(decl_452, type, esk55_4: $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_453, type, esk56_4: $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_454, type, esk57_4: $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_455, type, esk58_4: $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_456, type, esk59_4: $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_457, type, esk60_4: $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_458, type, esk61_4: $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_459, type, esk62_4: $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_460, type, esk63_4: $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_461, type, esk64_3: $i > $i > ($i > $i) > $i).
169.42/22.03	thf(decl_462, type, esk65_3: $i > $i > ($i > $i) > $i).
169.42/22.03	thf(decl_463, type, esk66_3: $i > $i > ($i > $i) > $i).
169.42/22.03	thf(decl_464, type, esk67_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_465, type, esk68_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_466, type, esk69_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_467, type, esk70_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_468, type, esk71_3: $i > $i > ($i > $o) > $i).
169.42/22.03	thf(decl_469, type, esk72_3: $i > $i > ($i > $o) > $i).
169.42/22.03	thf(decl_470, type, esk73_3: $i > $i > ($i > $o) > $i).
169.42/22.03	thf(decl_471, type, esk74_3: $i > $i > ($i > $o) > $i).
169.42/22.03	thf(decl_472, type, esk75_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_473, type, esk76_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_474, type, esk77_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_475, type, esk78_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_476, type, esk79_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_477, type, esk80_3: $i > $i > $i > $i).
169.42/22.03	thf(decl_478, type, esk81_5: $i > $i > $i > $i > $i > $i).
169.42/22.03	thf(decl_479, type, esk82_6: $i > $i > $i > $i > $i > $o > $i).
169.42/22.03	thf(decl_480, type, esk83_2: $i > ($i > $i) > $i).
169.42/22.03	thf(decl_481, type, esk84_3: $i > ($i > $i) > $i > $i).
169.42/22.03	thf(decl_482, type, esk85_3: $i > ($i > $i) > $i > $i).
169.42/22.03	thf(decl_483, type, esk86_3: $i > ($i > $i) > $i > $i).
169.42/22.03	thf(decl_484, type, esk87_3: $i > $i > ($i > $i) > $i).
169.42/22.03	thf(decl_485, type, esk88_4: $i > $i > ($i > $i) > $i > $i).
169.42/22.03	thf(decl_486, type, esk89_1: $i > $i).
169.42/22.03	thf(decl_487, type, esk90_0: $i).
169.42/22.03	thf(decl_495, type, epred4_2: $i > $i > $i > $o).
169.42/22.03	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', singletonprop)).
169.42/22.03	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ex1E1)).
169.42/22.03	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ex1I2)).
169.42/22.03	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', sepSubset)).
169.42/22.03	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', dsetconstr__Cong)).
169.42/22.03	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', exuEu)).
169.42/22.03	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ksndsingleton)).
169.42/22.03	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', exu__Cong)).
169.42/22.03	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.xTxXoxsBcR/Vampire---4.8_8751', emptyE1)).
169.42/22.03	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', dpsetconstrSub)).
169.42/22.03	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setOfPairsIsBReln)).
169.42/22.03	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', dpsetconstrERa)).
169.42/22.03	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', dpsetconstrEL2)).
169.42/22.03	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', nonemptyI)).
169.42/22.03	thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', apProp)).
169.42/22.03	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setbeta)).
169.42/22.03	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', exuE3e)).
169.42/22.03	thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ex1E2)).
169.42/22.03	thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', beta2)).
169.42/22.03	thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', eta2)).
169.42/22.03	thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X39)&((X14)=(X2)))|(~((X39))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', iffalseProp1)).
169.42/22.03	thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((X40)&((X14)=(X2)))|(~((X40))&((X14)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', iffalseProp2)).
169.42/22.03	thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X41)&((X14)=(X2)))|(~((X41))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', iftrueProp1)).
169.42/22.03	thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((X43)&((X14)=(X2)))|(~((X43))&((X14)=(X3))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ifSingleton)).
169.42/22.03	thf(image1E, axiom, ((image1E)<=>![X4:$i, X60:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[X3:$i]:(X60 @ X3))))=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X60 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', image1E)).
169.42/22.03	thf(image1I, axiom, ((image1I)<=>![X4:$i, X61:$i > $i, X2:$i]:((?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X61 @ X3))))=>(in @ X2 @ (image1 @ X4 @ (^[X3:$i]:(X61 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', image1I)).
169.42/22.03	thf(image1Equiv, axiom, ((image1Equiv)<=>![X4:$i, X59:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[X3:$i]:(X59 @ X3))))<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X59 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', image1Equiv)).
169.42/22.03	thf(image1Ex1, axiom, ((image1Ex1)<=>![X4:$i, X58:$i > $i]:((exu @ (^[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X58 @ X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', image1Ex1)).
169.42/22.03	thf(setOfPairsIsBReln1, axiom, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((X53 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setOfPairsIsBReln1)).
169.42/22.03	thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((X42)&((X14)=(X2)))|(~((X42))&((X14)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', iftrueProp2)).
169.42/22.03	thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', lam2lamEq)).
169.42/22.03	thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', eta1)).
169.42/22.03	thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', beta1)).
169.42/22.03	thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', lam2p)).
169.42/22.03	thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', lamp)).
169.42/22.03	thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', lamProp)).
169.42/22.03	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', funcImageSingleton)).
169.42/22.03	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', dpsetconstrER)).
169.42/22.03	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', dpsetconstrEL1)).
169.42/22.03	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', dpsetconstrI)).
169.42/22.03	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', kfstsingleton)).
169.42/22.03	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ex1I)).
169.42/22.03	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', sepInPowerset)).
169.42/22.03	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', descr__Cong)).
169.42/22.03	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', exuE3u)).
169.42/22.03	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.xTxXoxsBcR/Vampire---4.8_8751', exuI2)).
169.42/22.03	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', exuI3)).
169.42/22.03	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', exuI1)).
169.42/22.03	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.xTxXoxsBcR/Vampire---4.8_8751', exuE2)).
169.42/22.03	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setoftrueEq)).
169.42/22.03	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', exuE1)).
169.42/22.03	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', dsetconstrER)).
169.42/22.03	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', dsetconstrEL)).
169.42/22.03	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', dsetconstrI)).
169.42/22.03	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', descrp)).
169.42/22.03	thf(replAx, axiom, ((replAx)<=>![X6:$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.xTxXoxsBcR/Vampire---4.8_8751', replAx)).
169.42/22.03	thf(notinself, conjecture, ((setextAx)=>(((((setunionAx)=>((((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>(((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((((emptyI)=>((noeltsimpempty)=>(((nonemptyE1)=>((((((setadjoinIR)=>((((setoftrueEq)=>((((((setunionI)=>(((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((((eqinunit)=>((singletonsswitch)=>((((((((quantDeMorgan2)=>(((quantDeMorgan4)=>((prop2setI)=>((((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>(((exuE3u)=>((((setadjoin__Cong)=>((powerset__Cong)=>(((((descr__Cong)=>((((((subsetI2)=>((emptysetsubset)=>((((((notequalI2)=>((subsetRefl)=>(((setadjoinSub)=>(((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((((inPowerset)=>(((sepInPowerset)=>(((binunionIL)=>(((((binunionE)=>(((((((binintersectLsub)=>(((binintersectSubset3)=>((binintersectER)=>((((binintersectSubset4)=>(((bs114d)=>((setminusI)=>((setminusEL)=>((((setminusERneg)=>(((setminusILneg)=>(((((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>(((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((((((ubforcartprodlem3)=>(((((setunionE2)=>((setunionsingleton1)=>((((singletonprop)=>((ex1E1)=>(((ex1I2)=>(((((theprop)=>((((setukpairinjL2)=>((((((upairequniteq)=>(((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>(((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((((cartprodsndpairEq)=>((((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>(((dpsetconstrEL2)=>((((apProp)=>((((ap2p)=>((funcinfuncset)=>(((((brelnall1)=>(((ex1E2)=>((((funcGraphProp2)=>((funcextLem)=>(((((funcext)=>((funcext2)=>(((ap2apEq2)=>(((((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>(((ifSingleton)=>(((theeq)=>((iftrue)=>((((binintersectT_lem)=>(((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>(((subsetTI)=>((powersetTI1)=>((((((binintersectTERcontra)=>(((contrasubsetT1)=>(((((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>(((complementTnotintersectT)=>((complementImpComplementIntersect)=>((((contraSubsetComplement)=>(((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((((inComplementUnionImpNotIn1)=>(((binunionTE)=>((((((demorgan1a)=>((((demorgan2a)=>(((demorgan2b)=>(((woz13rule0)=>(((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((((woz1_5)=>((((((breln1all1)=>(((eqbreln1)=>(((breln1invI)=>(((breln1compprop)=>((breln1compI)=>((breln1compE)=>((breln1compEex)=>((breln1unionprop)=>((breln1unionIL)=>((breln1unionIR)=>(((breln1unionE)=>((((woz2Ex)=>((((woz2B)=>((image1Ex)=>((((image1E)=>((image1I)=>((((((((![X4:$i]:(~((in @ X4 @ X4)))<=(foundation2))<=(surjCantorThm))<=(leftInvIsSurj))<=(surjFuncSetFuncSurj))<=(surjFuncSetFuncIn))<=(injFuncSetFuncInj))<=(injFuncSetFuncIn))<=(injFuncInInjFuncSet))))<=(image1Equiv))<=(image1Ex1))))<=(woz2A))<=(woz2W)))<=(breln1unionCommutes))<=(breln1unionEcases)))<=(breln1unionI)))))))))<=(breln1invE)))<=(breln1invprop)))<=(subbreln1)))<=(setOfPairsIsBReln1))<=(choice2fnsingleton))<=(breln1SetBreln1))<=(breln1all2)))<=(woz1_4))<=(woz1_3)))))))<=(woz13rule1)))<=(demorgan2)))<=(demorgan2b2)))<=(demorgan1))<=(demorgan1b)))<=(demorgan2a2))<=(complementUnionInPowersetComplement))<=(demorgan2a1))<=(binunionTEcontra)))<=(inComplementUnionImpInComplement1)))<=(intersectInPowersetIntersectUnions))<=(inIntersectImpInIntersectUnions))))))<=(complementTcontraSubset)))<=(complementInPowersetComplementIntersect))<=(complementSubsetComplementIntersect))))<=(doubleComplementEq)))))<=(doubleComplementI1))<=(contrasubsetT3))<=(contrasubsetT2)))<=(contrasubsetT)))<=(binintersectTELcontra))<=(complementTE1))<=(complementTI1))<=(powersetTE1))))<=(setextT)))))<=(binunionT_lem)))<=(iftrueorfalse))<=(iffalse))))<=(ifp)))<=(iftrueProp2)))))))<=(lam2lamEq))<=(eta1))<=(beta1)))<=(ap2apEq1))))<=(eqbreln))<=(subbreln))<=(funcGraphProp4))))<=(funcGraphProp3))<=(funcGraphProp1)))<=(brelnall2)))<=(lam2p))<=(lamp))<=(lamProp))))<=(infuncsetfunc))<=(app)))<=(funcImageSingleton))<=(dpsetconstrER)))<=(dpsetconstrEL1)))))<=(dpsetconstrI))<=(cartprodpairsurjEq)))<=(cartprodfstpairEq))<=(cartprodmempaircEq)))))<=(kpairsurjEq)))))<=(setukpairinjR2)))<=(setukpairinjR1))<=(setukpairinjR12))<=(setukpairinjR11))<=(setukpairinjL)))<=(cartprodfstin))<=(kfstpairEq)))<=(kfstsingleton))<=(setukpairinjL1))<=(singletonsuniq)))<=(ex1I))))<=(setunionsingleton))<=(setunionsingleton2))))<=(cartprodmempair))<=(cartprodmempair1))<=(cartprodpairin)))<=(ubforcartprodlem2))<=(ubforcartprodlem1))<=(upairinpowunion))<=(upairsubunion))))))<=(kpairp))))))<=(symdiffIneg2))<=(symdiffIneg1)))))<=(setminusSubset1))<=(setminusLsub))<=(setminusIRneg)))<=(setminusELneg)))<=(setminusSubset2))<=(setminusER)))))<=(binintersectSubset1)))<=(binintersectRsub))<=(disjointsetsI1))))<=(binintersectSubset2)))<=(binintersectEL))<=(binintersectSubset5))<=(binintersectI))<=(binunionRsub))<=(binunionLsub)))<=(binunionEcases))<=(binunionIR))<=(upairset2IR)))<=(sepSubset)))<=(powersetsubset)))<=(powersetE1))<=(powersetI1)))))<=(setadjoinSub2)))<=(subsetTrans))))<=(notequalI1))<=(notsubsetI))<=(subsetE2))<=(subsetE))))<=(eqimpsubset1))<=(eqimpsubset2))<=(subsetI1))<=(dsetconstr__Cong)))<=(exuEu))<=(omega__Cong))<=(setunion__Cong))))<=(emptyset__Cong))<=(exu__Cong)))<=(in__Cong)))))))<=(notdexE))<=(prop2set2propI))))<=(quantDeMorgan3)))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1))<=(upairsetIR))<=(upairsetIL))<=(upairsetE))))<=(notinsingleton))<=(uniqinunit)))))<=(setunionE)))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI)))<=(setadjoinOr))<=(setadjoinE)))<=(emptyinunitempty))<=(setadjoinIL))<=(nonemptyI1))<=(nonemptyI)))<=(setbeta))))<=(setext))<=(exuE3e)))))<=(prop2setE)))))))))))<=(omegaSAx))<=(omega0Ax)))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', notinself)).
169.42/22.03	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', eqimpsubset2)).
169.42/22.03	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', emptysetAx)).
169.42/22.03	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', disjointsetsI1)).
169.42/22.03	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', singletonsubset)).
169.42/22.03	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectSubset2)).
169.42/22.03	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setunionsingleton1)).
169.42/22.03	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectEL)).
169.42/22.03	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectSubset5)).
169.42/22.03	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectI)).
169.42/22.03	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binunionRsub)).
169.42/22.03	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binunionLsub)).
169.42/22.03	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.xTxXoxsBcR/Vampire---4.8_8751', binunionEcases)).
169.42/22.03	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binunionIR)).
169.42/22.03	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', upairset2IR)).
169.42/22.03	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', powersetsubset)).
169.42/22.03	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', theprop)).
169.42/22.03	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', powersetE1)).
169.42/22.03	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', powersetI1)).
169.42/22.03	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setadjoinSub2)).
169.42/22.03	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', singletoninpowerset)).
169.42/22.03	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subsetTrans)).
169.42/22.03	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setukpairinjL2)).
169.42/22.03	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', notequalI1)).
169.42/22.03	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', notsubsetI)).
169.42/22.03	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', upairequniteq)).
169.42/22.03	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subsetE2)).
169.42/22.03	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subsetE)).
169.42/22.03	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', eqimpsubset1)).
169.42/22.03	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', singletoninpowunion)).
169.42/22.03	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subsetI1)).
169.42/22.03	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setukpairinjR)).
169.42/22.03	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', omega__Cong)).
169.42/22.03	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setunion__Cong)).
169.42/22.03	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', emptyset__Cong)).
169.42/22.03	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ksndpairEq)).
169.42/22.03	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.xTxXoxsBcR/Vampire---4.8_8751', in__Cong)).
169.42/22.03	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodsndin)).
169.42/22.03	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', notdexE)).
169.42/22.03	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', quantDeMorgan3)).
169.42/22.03	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', quantDeMorgan1)).
169.42/22.03	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodpairmemEL)).
169.42/22.03	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', vacuousDall)).
169.42/22.03	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodpairmemER)).
169.42/22.03	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', upairsetIR)).
169.42/22.03	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', upairsetIL)).
169.42/22.03	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', upairsetE)).
169.42/22.03	thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodsndpairEq)).
169.42/22.03	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', notinsingleton)).
169.42/22.03	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', uniqinunit)).
169.42/22.03	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setunionE)).
169.42/22.03	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', powersetE)).
169.42/22.03	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', emptyInPowerset)).
169.42/22.03	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', emptyinPowerset)).
169.42/22.03	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', powersetI)).
169.42/22.03	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setadjoinOr)).
169.42/22.03	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.xTxXoxsBcR/Vampire---4.8_8751', setadjoinE)).
169.42/22.03	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', emptyinunitempty)).
169.42/22.03	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setadjoinIL)).
169.42/22.03	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', nonemptyI1)).
169.42/22.03	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.xTxXoxsBcR/Vampire---4.8_8751', setext)).
169.42/22.03	thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ap2p)).
169.42/22.03	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', prop2setE)).
169.42/22.03	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', omegaSAx)).
169.42/22.03	thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', funcinfuncset)).
169.42/22.03	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', omega0Ax)).
169.42/22.03	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', powersetAx)).
169.42/22.03	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setadjoinAx)).
169.42/22.03	thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', brelnall1)).
169.42/22.03	thf(inComplementUnionImpNotIn1, axiom, ((inComplementUnionImpNotIn1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', inComplementUnionImpNotIn1)).
169.42/22.03	thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', funcGraphProp2)).
169.42/22.03	thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', funcextLem)).
169.42/22.03	thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', funcext)).
169.42/22.03	thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', funcext2)).
169.42/22.03	thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ap2apEq2)).
169.42/22.03	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', upairset2E)).
169.42/22.03	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ubforcartprodlem3)).
169.42/22.03	thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', theeq)).
169.42/22.03	thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', iftrue)).
169.42/22.03	thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectT_lem)).
169.42/22.03	thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', powersetT_lem)).
169.42/22.03	thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusT_lem)).
169.42/22.03	thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', complementT_lem)).
169.42/22.03	thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subsetTI)).
169.42/22.03	thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', powersetTI1)).
169.42/22.03	thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectTERcontra)).
169.42/22.03	thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', contrasubsetT1)).
169.42/22.03	thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', doubleComplementE1)).
169.42/22.03	thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', doubleComplementSub1)).
169.42/22.03	thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', doubleComplementSub2)).
169.42/22.03	thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', complementTnotintersectT)).
169.42/22.03	thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', complementImpComplementIntersect)).
169.42/22.03	thf(contraSubsetComplement, axiom, ((contraSubsetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ (setminus @ X4 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', contraSubsetComplement)).
169.42/22.03	thf(binunionTILcontra, axiom, ((binunionTILcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binunionTILcontra)).
169.42/22.03	thf(binunionTIRcontra, axiom, ((binunionTIRcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binunionTIRcontra)).
169.42/22.03	thf(inIntersectImpInUnion, axiom, ((inIntersectImpInUnion)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X21 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', inIntersectImpInUnion)).
169.42/22.03	thf(inIntersectImpInUnion2, axiom, ((inIntersectImpInUnion2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X48 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', inIntersectImpInUnion2)).
169.42/22.03	thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', complementTcontraSubset)).
169.42/22.03	thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', complementInPowersetComplementIntersect)).
169.42/22.03	thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', complementSubsetComplementIntersect)).
169.42/22.03	thf(binunionTE, axiom, ((binunionTE)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X50:$o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ X21 @ X48))=>(((in @ X2 @ X21)=>(X50))=>(((in @ X2 @ X48)=>(X50))=>(X50))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binunionTE)).
169.42/22.03	thf(demorgan1a, axiom, ((demorgan1a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48)))=>(in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', demorgan1a)).
169.42/22.03	thf(demorgan2a, axiom, ((demorgan2a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', demorgan2a)).
169.42/22.03	thf(demorgan2b, axiom, ((demorgan2b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', demorgan2b)).
169.42/22.03	thf(woz13rule0, axiom, ((woz13rule0)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ X4)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz13rule0)).
169.42/22.03	thf(woz13rule2, axiom, ((woz13rule2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X48 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz13rule2)).
169.42/22.03	thf(woz13rule3, axiom, ((woz13rule3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz13rule3)).
169.42/22.03	thf(woz13rule4, axiom, ((woz13rule4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((subset @ X21 @ X49)=>((subset @ X48 @ X51)=>(subset @ (binintersect @ X21 @ X48) @ (binintersect @ X49 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz13rule4)).
169.42/22.03	thf(woz1_1, axiom, ((woz1_1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz1_1)).
169.42/22.03	thf(woz1_2, axiom, ((woz1_2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ (binunion @ X21 @ X48) @ (binunion @ X49 @ X51)))=(binunion @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)) @ (binintersect @ (setminus @ X4 @ X49) @ (setminus @ X4 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz1_2)).
169.42/22.03	thf(woz1_5, axiom, ((woz1_5)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz1_5)).
169.42/22.03	thf(breln1all1, axiom, ((breln1all1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1all1)).
169.42/22.03	thf(eqbreln1, axiom, ((eqbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', eqbreln1)).
169.42/22.03	thf(breln1invI, axiom, ((breln1invI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1invI)).
169.42/22.03	thf(breln1compprop, axiom, ((breln1compprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (breln1compset @ X4 @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1compprop)).
169.42/22.03	thf(breln1compI, axiom, ((breln1compI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1compI)).
169.42/22.03	thf(breln1compE, axiom, ((breln1compE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))=>?[X14:$i]:((((in @ X14 @ X4)&(in @ (kpair @ X2 @ X14) @ X33))&(in @ (kpair @ X14 @ X3) @ X35))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1compE)).
169.42/22.03	thf(breln1compEex, axiom, ((breln1compEex)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))=>![X54:$o]:((![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(X54)))))=>(X54))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1compEex)).
169.42/22.03	thf(breln1unionprop, axiom, ((breln1unionprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (binunion @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1unionprop)).
169.42/22.03	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setunionE2)).
169.42/22.03	thf(breln1unionIL, axiom, ((breln1unionIL)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1unionIL)).
169.42/22.03	thf(breln1unionIR, axiom, ((breln1unionIR)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1unionIR)).
169.42/22.03	thf(breln1unionE, axiom, ((breln1unionE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))=>((in @ (kpair @ X2 @ X3) @ X33)|(in @ (kpair @ X2 @ X3) @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1unionE)).
169.42/22.03	thf(woz2Ex, axiom, ((woz2Ex)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>((X33)=(breln1invset @ X4 @ (breln1invset @ X4 @ X33)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz2Ex)).
169.42/22.03	thf(woz2B, axiom, ((woz2B)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X56:$i]:(((breln1 @ X4 @ X56)=>((breln1compset @ X4 @ (binunion @ X33 @ X35) @ X56)=(binunion @ (breln1invset @ X4 @ (breln1compset @ X4 @ (breln1invset @ X4 @ X56) @ (breln1invset @ X4 @ X35))) @ (breln1invset @ X4 @ (breln1compset @ X4 @ (breln1invset @ X4 @ X56) @ (breln1invset @ X4 @ X33)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz2B)).
169.42/22.03	thf(image1Ex, axiom, ((image1Ex)<=>![X4:$i, X57:$i > $i]:(?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X57 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', image1Ex)).
169.42/22.03	thf(foundation2, axiom, ((foundation2)<=>![X4:$i]:(((nonempty @ X4)=>?[X21:$i]:(((in @ X21 @ X4)&((binintersect @ X21 @ X4)=(emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', foundation2)).
169.42/22.03	thf(surjCantorThm, axiom, ((surjCantorThm)<=>![X4:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ (powerset @ X4)))=>~((surjective @ X4 @ (powerset @ X4) @ X29))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', surjCantorThm)).
169.42/22.03	thf(leftInvIsSurj, axiom, ((leftInvIsSurj)<=>![X4:$i, X5:$i, X62:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X62 @ X2) @ X5)))=>![X34:$i]:(((in @ X34 @ (funcSet @ X5 @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X5 @ X4 @ X34 @ (X62 @ X2))=(X2))))=>(surjective @ X5 @ X4 @ X34))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', leftInvIsSurj)).
169.42/22.03	thf(surjFuncSetFuncSurj, axiom, ((surjFuncSetFuncSurj)<=>![X2:$i, X3:$i, X29:$i]:(((in @ X29 @ (surjFuncSet @ X2 @ X3))=>(surjective @ X2 @ X3 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', surjFuncSetFuncSurj)).
169.42/22.03	thf(surjFuncSetFuncIn, axiom, ((surjFuncSetFuncIn)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (surjFuncSet @ X4 @ X5))=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', surjFuncSetFuncIn)).
169.42/22.03	thf(injFuncSetFuncInj, axiom, ((injFuncSetFuncInj)<=>![X2:$i, X3:$i, X29:$i]:(((in @ X29 @ (injFuncSet @ X2 @ X3))=>(injective @ X2 @ X3 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', injFuncSetFuncInj)).
169.42/22.03	thf(injFuncSetFuncIn, axiom, ((injFuncSetFuncIn)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (injFuncSet @ X4 @ X5))=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', injFuncSetFuncIn)).
169.42/22.03	thf(injFuncInInjFuncSet, axiom, ((injFuncInInjFuncSet)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((injective @ X4 @ X5 @ X29)=>(in @ X29 @ (injFuncSet @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', injFuncInInjFuncSet)).
169.42/22.03	thf(woz2A, axiom, ((woz2A)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X56:$i]:(((breln1 @ X4 @ X56)=>((breln1compset @ X4 @ (binunion @ X33 @ X35) @ X56)=(binunion @ (breln1compset @ X4 @ X33 @ X56) @ (breln1compset @ X4 @ X35 @ X56)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz2A)).
169.42/22.03	thf(woz2W, axiom, ((woz2W)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>((breln1invset @ X4 @ (breln1compset @ X4 @ X33 @ X35))=(breln1compset @ X4 @ (breln1invset @ X4 @ X35) @ (breln1invset @ X4 @ X33)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz2W)).
169.42/22.03	thf(breln1unionCommutes, axiom, ((breln1unionCommutes)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>((binunion @ X33 @ X35)=(binunion @ X35 @ X33))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1unionCommutes)).
169.42/22.03	thf(breln1unionEcases, axiom, ((breln1unionEcases)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))=>![X55:$o]:((((in @ (kpair @ X2 @ X3) @ X33)=>(X55))=>(((in @ (kpair @ X2 @ X3) @ X35)=>(X55))=>(X55)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1unionEcases)).
169.42/22.03	thf(breln1unionI, axiom, ((breln1unionI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(((in @ (kpair @ X2 @ X3) @ X33)|(in @ (kpair @ X2 @ X3) @ X35))=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1unionI)).
169.42/22.03	thf(breln1invE, axiom, ((breln1invE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33))=>(in @ (kpair @ X2 @ X3) @ X33))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1invE)).
169.42/22.03	thf(breln1invprop, axiom, ((breln1invprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>(breln1 @ X4 @ (breln1invset @ X4 @ X33))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1invprop)).
169.42/22.03	thf(subbreln1, axiom, ((subbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subbreln1)).
169.42/22.03	thf(breln1SetBreln1, axiom, ((breln1SetBreln1)<=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1SetBreln1)).
169.42/22.03	thf(breln1all2, axiom, ((breln1all2)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', breln1all2)).
169.42/22.03	thf(woz1_4, axiom, ((woz1_4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz1_4)).
169.42/22.03	thf(woz1_3, axiom, ((woz1_3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz1_3)).
169.42/22.03	thf(woz13rule1, axiom, ((woz13rule1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', woz13rule1)).
169.42/22.03	thf(demorgan2, axiom, ((demorgan2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binunion @ X21 @ X48))=(binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', demorgan2)).
169.42/22.03	thf(demorgan2b2, axiom, ((demorgan2b2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>((in @ X2 @ (setminus @ X4 @ X48))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', demorgan2b2)).
169.42/22.03	thf(demorgan1, axiom, ((demorgan1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ X21 @ X48))=(binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', demorgan1)).
169.42/22.03	thf(demorgan1b, axiom, ((demorgan1b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', demorgan1b)).
169.42/22.03	thf(demorgan2a2, axiom, ((demorgan2a2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', demorgan2a2)).
169.42/22.03	thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', complementUnionInPowersetComplement)).
169.42/22.03	thf(demorgan2a1, axiom, ((demorgan2a1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', demorgan2a1)).
169.42/22.03	thf(binunionTEcontra, axiom, ((binunionTEcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binunionTEcontra)).
169.42/22.03	thf(inComplementUnionImpInComplement1, axiom, ((inComplementUnionImpInComplement1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', inComplementUnionImpInComplement1)).
169.42/22.03	thf(intersectInPowersetIntersectUnions, axiom, ((intersectInPowersetIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', intersectInPowersetIntersectUnions)).
169.42/22.03	thf(inIntersectImpInIntersectUnions, axiom, ((inIntersectImpInIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', inIntersectImpInIntersectUnions)).
169.42/22.03	thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', doubleComplementEq)).
169.42/22.03	thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', doubleComplementI1)).
169.42/22.03	thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', contrasubsetT3)).
169.42/22.03	thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', contrasubsetT2)).
169.42/22.03	thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', contrasubsetT)).
169.42/22.03	thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectTELcontra)).
169.42/22.03	thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', complementTE1)).
169.42/22.03	thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', complementTI1)).
169.42/22.03	thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', powersetTE1)).
169.42/22.03	thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setextT)).
169.42/22.03	thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binunionT_lem)).
169.42/22.03	thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', iftrueorfalse)).
169.42/22.03	thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', iffalse)).
169.42/22.03	thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ifp)).
169.42/22.03	thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ap2apEq1)).
169.42/22.03	thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', eqbreln)).
169.42/22.03	thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subbreln)).
169.42/22.03	thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', funcGraphProp4)).
169.42/22.03	thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', funcGraphProp3)).
169.42/22.03	thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', funcGraphProp1)).
169.42/22.03	thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', brelnall2)).
169.42/22.03	thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', infuncsetfunc)).
169.42/22.03	thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', app)).
169.42/22.03	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodpairsurjEq)).
169.42/22.03	thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodfstpairEq)).
169.42/22.03	thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodmempaircEq)).
169.42/22.03	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', kpairsurjEq)).
169.42/22.03	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setukpairinjR2)).
169.42/22.03	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setukpairinjR1)).
169.42/22.03	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setukpairinjR12)).
169.42/22.03	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setukpairinjR11)).
169.42/22.03	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setukpairinjL)).
169.42/22.03	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodfstin)).
169.42/22.03	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', kfstpairEq)).
169.42/22.03	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setukpairinjL1)).
169.42/22.03	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', singletonsuniq)).
169.42/22.03	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setunionsingleton)).
169.42/22.03	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setunionsingleton2)).
169.42/22.03	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodmempair)).
169.42/22.03	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodmempair1)).
169.42/22.03	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', cartprodpairin)).
169.42/22.03	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ubforcartprodlem2)).
169.42/22.03	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', ubforcartprodlem1)).
169.42/22.03	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', upairinpowunion)).
169.42/22.03	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', upairsubunion)).
169.42/22.03	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', kpairp)).
169.42/22.03	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', symdiffIneg2)).
169.42/22.03	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', symdiffIneg1)).
169.42/22.03	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusSubset1)).
169.42/22.03	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusLsub)).
169.42/22.03	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusIRneg)).
169.42/22.03	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusELneg)).
169.42/22.03	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusSubset2)).
169.42/22.03	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusER)).
169.42/22.03	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectSubset1)).
169.42/22.03	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectRsub)).
169.42/22.03	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', kpairiskpair)).
169.42/22.03	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setukpairIR)).
169.42/22.03	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setukpairIL)).
169.42/22.03	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', secondinupair)).
169.42/22.03	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', symdiffI2)).
169.42/22.03	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', symdiffI1)).
169.42/22.03	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', symdiffE)).
169.42/22.03	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusILneg)).
169.42/22.03	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusERneg)).
169.42/22.03	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusEL)).
169.42/22.03	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setminusI)).
169.42/22.03	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', bs114d)).
169.42/22.03	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectSubset4)).
169.42/22.03	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectER)).
169.42/22.03	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectSubset3)).
169.42/22.03	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binintersectLsub)).
169.42/22.03	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binunionE)).
169.42/22.03	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', binunionIL)).
169.42/22.03	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', inPowerset)).
169.42/22.03	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subsetemptysetimpeq)).
169.42/22.03	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setextsub)).
169.42/22.03	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subset2powerset)).
169.42/22.03	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setadjoinSub)).
169.42/22.03	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subsetRefl)).
169.42/22.03	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', notequalI2)).
169.42/22.03	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', emptysetsubset)).
169.42/22.03	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subsetI2)).
169.42/22.03	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', powerset__Cong)).
169.42/22.03	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.xTxXoxsBcR/Vampire---4.8_8751', setadjoin__Cong)).
169.42/22.03	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.xTxXoxsBcR/Vampire---4.8_8751', inCongP)).
169.42/22.03	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', notdallE)).
169.42/22.03	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', prop2setI)).
169.42/22.03	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', quantDeMorgan4)).
169.42/22.03	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', quantDeMorgan2)).
169.42/22.03	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', singletonsswitch)).
169.42/22.03	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', eqinunit)).
169.42/22.03	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', nonemptyImpWitness)).
169.42/22.03	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', subPowSU)).
169.42/22.03	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setunionI)).
169.42/22.03	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setadjoinIR)).
169.42/22.03	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', nonemptyE1)).
169.42/22.03	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', noeltsimpempty)).
169.42/22.03	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', emptyI)).
169.42/22.03	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', notinemptyset)).
169.42/22.03	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', emptysetimpfalse)).
169.42/22.03	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', emptysetE)).
169.42/22.03	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.xTxXoxsBcR/Vampire---4.8_8751', wellorderingAx)).
169.42/22.03	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.xTxXoxsBcR/Vampire---4.8_8751', foundationAx)).
169.42/22.03	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', omegaIndAx)).
169.42/22.03	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setunionAx)).
169.42/22.03	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.xTxXoxsBcR/Vampire---4.8_8751', setextAx)).
169.42/22.03	thf(c_0_321, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
169.42/22.03	thf(c_0_322, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
169.42/22.03	thf(c_0_323, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
169.42/22.03	thf(c_0_324, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
169.42/22.03	thf(c_0_325, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
169.42/22.03	thf(c_0_326, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
169.42/22.03	thf(c_0_327, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
169.42/22.03	thf(c_0_328, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
169.42/22.03	thf(c_0_329, plain, ((emptyE1)<=>![X4:$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])).
169.42/22.03	thf(c_0_330, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
169.42/22.03	thf(c_0_331, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
169.42/22.03	thf(c_0_332, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
169.42/22.03	thf(c_0_333, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
169.42/22.03	thf(c_0_334, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
169.42/22.03	thf(c_0_335, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
169.42/22.03	thf(c_0_336, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
169.42/22.03	thf(c_0_337, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
169.42/22.03	thf(c_0_338, plain, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[ex1E2])).
169.42/22.03	thf(c_0_339, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])).
169.42/22.03	thf(c_0_340, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
169.42/22.03	thf(c_0_341, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X39)&((Z0)=(X2)))|(~((X39))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
169.42/22.03	thf(c_0_342, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X40)&((Z0)=(X2)))|(~((X40))&((Z0)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
169.42/22.03	thf(c_0_343, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X41)&((Z0)=(X2)))|(~((X41))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
169.42/22.03	thf(c_0_344, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X43)&((Z0)=(X2)))|(~((X43))&((Z0)=(X3))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
169.42/22.03	thf(c_0_345, plain, ((image1E)<=>![X4:$i, X60:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[Z0/* 17 */:$i]:(X60 @ Z0))))=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X60 @ X3))))))), inference(fof_simplification,[status(thm)],[image1E])).
169.42/22.03	thf(c_0_346, plain, ((image1I)<=>![X4:$i, X61:$i > $i, X2:$i]:((?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X61 @ X3))))=>(in @ X2 @ (image1 @ X4 @ (^[Z0/* 17 */:$i]:(X61 @ Z0))))))), inference(fof_simplification,[status(thm)],[image1I])).
169.42/22.03	thf(c_0_347, plain, ((image1Equiv)<=>![X4:$i, X59:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[Z0/* 17 */:$i]:(X59 @ Z0))))<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X59 @ X3))))))), inference(fof_simplification,[status(thm)],[image1Equiv])).
169.42/22.03	thf(c_0_348, plain, ((image1Ex1)<=>![X4:$i, X58:$i > $i]:((exu @ (^[Z0/* 6 */:$i]:(![X2:$i]:(((in @ X2 @ Z0)<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X58 @ X3))))))))))), inference(fof_simplification,[status(thm)],[image1Ex1])).
169.42/22.03	thf(c_0_349, plain, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[Z0/* 19 */:$i, Z1:$i]:((X53 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln1])).
169.42/22.03	thf(c_0_350, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X42)&((Z0)=(X2)))|(~((X42))&((Z0)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
169.42/22.03	thf(c_0_351, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])).
169.42/22.03	thf(c_0_352, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
169.42/22.03	thf(c_0_353, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])).
169.42/22.03	thf(c_0_354, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
169.42/22.03	thf(c_0_355, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
169.42/22.03	thf(c_0_356, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
169.42/22.03	thf(c_0_357, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
169.42/22.03	thf(c_0_358, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
169.42/22.03	thf(c_0_359, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
169.42/22.03	thf(c_0_360, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
169.42/22.03	thf(c_0_361, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
169.42/22.03	thf(c_0_362, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
169.42/22.03	thf(c_0_363, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
169.42/22.03	thf(c_0_364, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
169.42/22.03	thf(c_0_365, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
169.42/22.03	thf(c_0_366, 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])).
169.42/22.03	thf(c_0_367, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
169.42/22.03	thf(c_0_368, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
169.42/22.03	thf(c_0_369, 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])).
169.42/22.03	thf(c_0_370, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
169.42/22.03	thf(c_0_371, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
169.42/22.03	thf(c_0_372, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
169.42/22.03	thf(c_0_373, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
169.42/22.03	thf(c_0_374, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
169.42/22.03	thf(c_0_375, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
169.42/22.03	thf(c_0_376, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
169.42/22.03	thf(c_0_377, plain, ((epred1_0)<=>![X1138:$i]:(?[X1139:$i]:((((![X1140:$i]:(((in @ X1140 @ X1139)=>![X1141:$i]:(((in @ X1141 @ X1140)=>(in @ X1141 @ X1138)))))&![X1142:$i, X1143:$i]:((((in @ X1142 @ X1138)&(in @ X1143 @ X1138))=>(![X1144:$i]:(((in @ X1144 @ X1139)=>((in @ X1142 @ X1144)<=>(in @ X1143 @ X1144))))=>((X1142)=(X1143))))))&![X1145:$i, X1146:$i]:((((in @ X1145 @ X1139)&(in @ X1146 @ X1139))=>(![X1147:$i]:(((in @ X1147 @ X1145)=>(in @ X1147 @ X1146)))|![X1148:$i]:(((in @ X1148 @ X1146)=>(in @ X1148 @ X1145)))))))&![X1149:$i]:(((![X1150:$i]:(((in @ X1150 @ X1149)=>(in @ X1150 @ X1138)))&?[X1151:$i]:((in @ X1151 @ X1149)))=>?[X1152:$i, X1153:$i]:(((((in @ X1152 @ X1139)&(in @ X1153 @ X1149))&~(?[X1154:$i]:(((in @ X1154 @ X1152)&(in @ X1154 @ X1149)))))&![X1155:$i]:(((in @ X1155 @ X1139)=>(![X1156:$i]:(((in @ X1156 @ X1155)=>(in @ X1156 @ X1152)))|(in @ X1153 @ X1155)))))))))))), introduced(definition)).
169.42/22.03	thf(c_0_378, negated_conjecture, ~((![X1119:$i, X1120:$i]:((![X1121:$i]:(((in @ X1121 @ X1119)<=>(in @ X1121 @ X1120)))=>((X1119)=(X1120))))=>(![X2175:$i]:(~(in @ X2175 @ emptyset))=>(![X2172:$i, X2173:$i, X2174:$i]:(((in @ X2174 @ (setadjoin @ X2172 @ X2173))<=>(((X2174)=(X2172))|(in @ X2174 @ X2173))))=>(![X2169:$i, X2170:$i]:(((in @ X2170 @ (powerset @ X2169))<=>![X2171:$i]:(((in @ X2171 @ X2170)=>(in @ X2171 @ X2169)))))=>(![X1122:$i, X1123:$i]:(((in @ X1123 @ (setunion @ X1122))<=>?[X1124:$i]:(((in @ X1123 @ X1124)&(in @ X1124 @ X1122)))))=>((in @ emptyset @ omega)=>(![X2168:$i]:(((in @ X2168 @ omega)=>(in @ (setadjoin @ X2168 @ X2168) @ omega)))=>(![X1125:$i]:((((in @ emptyset @ X1125)&![X1126:$i]:((((in @ X1126 @ omega)&(in @ X1126 @ X1125))=>(in @ (setadjoin @ X1126 @ X1126) @ X1125))))=>![X1127:$i]:(((in @ X1127 @ omega)=>(in @ X1127 @ X1125)))))=>(![X1128:$i > $i > $o, X1129:$i]:((![X1130:$i]:(((in @ X1130 @ X1129)=>(exu @ (^[Z0/* 3 */:$i]:((X1128 @ X1130 @ Z0))))))=>?[X1131:$i]:(![X1132:$i]:(((in @ X1132 @ X1131)<=>?[X1133:$i]:(((in @ X1133 @ X1129)&(X1128 @ X1133 @ X1132))))))))=>(![X1134:$i]:((?[X1135:$i]:((in @ X1135 @ X1134))=>?[X1136:$i]:(((in @ X1136 @ X1134)&~(?[X1137:$i]:(((in @ X1137 @ X1136)&(in @ X1137 @ X1134))))))))=>((epred1_0)=>(![X1157:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1157 @ Z0))))=>(X1157 @ (descr @ (^[Z0/* 3 */:$i]:((X1157 @ Z0)))))))=>(![X1158:$i, X1159:$i > $o, X1160:$i]:(((in @ X1160 @ X1158)=>((X1159 @ X1160)=>(in @ X1160 @ (dsetconstr @ X1158 @ (^[Z0/* 3 */:$i]:((X1159 @ Z0))))))))=>(![X1161:$i, X1162:$i > $o, X1163:$i]:(((in @ X1163 @ (dsetconstr @ X1161 @ (^[Z0/* 3 */:$i]:((X1162 @ Z0)))))=>(in @ X1163 @ X1161)))=>(![X1164:$i, X1165:$i > $o, X1166:$i]:(((in @ X1166 @ (dsetconstr @ X1164 @ (^[Z0/* 3 */:$i]:((X1165 @ Z0)))))=>(X1165 @ X1166)))=>(![X1167:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1167 @ Z0))))=>?[X1168:$i]:(((X1167 @ X1168)&![X1169:$i]:(((X1167 @ X1169)=>((X1168)=(X1169))))))))=>(![X2166:$o, X2167:$i]:(((in @ X2167 @ (prop2set @ ((X2166))))=>(X2166)))=>(![X1170:$i]:(((in @ X1170 @ emptyset)=>![X1171:$o]:((X1171))))=>(![X1172:$i]:(~(in @ X1172 @ emptyset))=>(![X1173:$i]:(~(in @ X1173 @ emptyset))=>(![X2164:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X2164 @ Z0))))=>?[X2165:$i]:((X2164 @ X2165))))=>(![X2160:$i, X2161:$i]:((![X2162:$i]:(((in @ X2162 @ X2160)=>(in @ X2162 @ X2161)))=>(![X2163:$i]:(((in @ X2163 @ X2161)=>(in @ X2163 @ X2160)))=>((X2160)=(X2161)))))=>(![X1174:$i]:((![X1175:$i]:(~(in @ X1175 @ X1174))=>((X1174)=(emptyset))))=>(![X1176:$i]:((![X1177:$i]:(~(in @ X1177 @ X1176))=>((X1176)=(emptyset))))=>(![X2157:$i, X2158:$i > $o, X2159:$i]:(((in @ X2159 @ X2157)=>((in @ X2159 @ (dsetconstr @ X2157 @ (^[Z0/* 3 */:$i]:((X2158 @ Z0)))))<=>(X2158 @ X2159))))=>(![X1178:$i]:(((nonempty @ X1178)=>?[X1179:$i]:((in @ X1179 @ X1178))))=>(![X2154:$i, X2155:$i > $o, X2156:$i]:(((in @ X2156 @ X2154)=>((X2155 @ X2156)=>(nonempty @ (dsetconstr @ X2154 @ (^[Z0/* 3 */:$i]:((X2155 @ Z0))))))))=>(![X2152:$i]:((?[X2153:$i]:((in @ X2153 @ X2152))=>(nonempty @ X2152)))=>(![X2150:$i, X2151:$i]:((in @ X2150 @ (setadjoin @ X2150 @ X2151)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1180:$i, X1181:$i, X1182:$i]:(((in @ X1182 @ X1181)=>(in @ X1182 @ (setadjoin @ X1180 @ X1181))))=>(![X2146:$i, X2147:$i, X2148:$i]:(((in @ X2148 @ (setadjoin @ X2146 @ X2147))=>![X2149:$o]:(((((X2148)=(X2146))=>(X2149))=>(((in @ X2148 @ X2147)=>(X2149))=>(X2149))))))=>(![X2143:$i, X2144:$i, X2145:$i]:(((in @ X2145 @ (setadjoin @ X2143 @ X2144))=>(((X2145)=(X2143))|(in @ X2145 @ X2144))))=>(![X1183:$i]:(((dsetconstr @ X1183 @ (^[Z0/* 3 */:$i]:(($true))))=(X1183)))=>(![X2140:$i, X2141:$i]:((![X2142:$i]:(((in @ X2142 @ X2141)=>(in @ X2142 @ X2140)))=>(in @ X2141 @ (powerset @ X2140))))=>(![X2139:$i]:((in @ emptyset @ (powerset @ X2139)))=>(![X2138:$i]:((in @ emptyset @ (powerset @ X2138)))=>(![X2135:$i, X2136:$i, X2137:$i]:(((in @ X2136 @ (powerset @ X2135))=>((in @ X2137 @ X2136)=>(in @ X2137 @ X2135))))=>(![X1184:$i, X1185:$i, X1186:$i]:(((in @ X1185 @ X1186)=>((in @ X1186 @ X1184)=>(in @ X1185 @ (setunion @ X1184)))))=>(![X2131:$i, X2132:$i]:(((in @ X2132 @ (setunion @ X2131))=>![X2133:$o]:((![X2134:$i]:(((in @ X2132 @ X2134)=>((in @ X2134 @ X2131)=>(X2133))))=>(X2133)))))=>(![X1187:$i, X1188:$i]:(((in @ X1188 @ X1187)=>(in @ X1188 @ (powerset @ (setunion @ X1187)))))=>(![X1189:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1189 @ Z0))))=>?[X1190:$i]:(![X1191:$i]:(((X1189 @ X1191)<=>((X1191)=(X1190)))))))=>(![X1192:$i]:(((nonempty @ X1192)=>?[X1193:$i]:((in @ X1193 @ X1192))))=>(![X2129:$i, X2130:$i]:(((in @ X2129 @ (setadjoin @ X2130 @ emptyset))=>((X2129)=(X2130))))=>(![X2127:$i, X2128:$i]:((((X2127)!=(X2128))=>~(in @ X2128 @ (setadjoin @ X2127 @ emptyset))))=>(![X1194:$i, X1195:$i]:((((X1194)=(X1195))=>(in @ X1194 @ (setadjoin @ X1195 @ emptyset))))=>(![X1196:$i, X1197:$i]:(((in @ X1196 @ (setadjoin @ X1197 @ emptyset))=>(in @ X1197 @ (setadjoin @ X1196 @ emptyset))))=>(![X2124:$i, X2125:$i, X2126:$i]:(((in @ X2126 @ (setadjoin @ X2124 @ (setadjoin @ X2125 @ emptyset)))=>(((X2126)=(X2124))|((X2126)=(X2125)))))=>(![X2122:$i, X2123:$i]:((in @ X2122 @ (setadjoin @ X2122 @ (setadjoin @ X2123 @ emptyset))))=>(![X2120:$i, X2121:$i]:((in @ X2121 @ (setadjoin @ X2120 @ (setadjoin @ X2121 @ emptyset))))=>(![X2117:$i, X2118:$i > $o]:((?[X2119:$i]:(((in @ X2119 @ X2117)&(X2118 @ X2119)))=>((dsetconstr @ X2117 @ (^[Z0/* 3 */:$i]:((X2118 @ Z0))))!=(emptyset))))=>(![X2115:$i > $o, X2116:$i]:(((in @ X2116 @ emptyset)=>(X2115 @ X2116)))=>(![X2111:$i, X2112:$i > $o]:((~(![X2113:$i]:(((in @ X2113 @ X2111)=>(X2112 @ X2113))))=>?[X2114:$i]:(((in @ X2114 @ X2111)&~(X2112 @ X2114)))))=>(![X1198:$i, X1199:$i > $o]:((![X1200:$i]:(((in @ X1200 @ X1198)=>~(X1199 @ X1200)))=>~(?[X1201:$i]:(((in @ X1201 @ X1198)&(X1199 @ X1201))))))=>(![X2107:$i, X2108:$i > $o]:((~(?[X2109:$i]:(((in @ X2109 @ X2107)&(X2108 @ X2109))))=>![X2110:$i]:(((in @ X2110 @ X2107)=>~(X2108 @ X2110)))))=>(![X1202:$i, X1203:$i > $o]:((?[X1204:$i]:(((in @ X1204 @ X1202)&~(X1203 @ X1204)))=>~(![X1205:$i]:(((in @ X1205 @ X1202)=>(X1203 @ X1205))))))=>(![X1206:$o]:(((X1206)=>(in @ emptyset @ (prop2set @ ((X1206))))))=>((prop2set2propI)=>(![X2103:$i, X2104:$i > $o]:((~(?[X2105:$i]:(((in @ X2105 @ X2103)&(X2104 @ X2105))))=>![X2106:$i]:(((in @ X2106 @ X2103)=>~(X2104 @ X2106)))))=>(![X1207:$i, X1208:$i > $o]:((~(![X1209:$i]:(((in @ X1209 @ X1207)=>(X1208 @ X1209))))=>?[X1210:$i]:(((in @ X1210 @ X1207)&~(X1208 @ X1210)))))=>(![X1211:$i > $o]:((?[X1212:$i]:(((X1211 @ X1212)&![X1213:$i]:(((X1211 @ X1213)=>((X1212)=(X1213))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1211 @ Z0))))))=>(![X1214:$i > $o]:((?[X1215:$i]:((X1214 @ X1215))=>(![X1216:$i, X1217:$i]:(((X1214 @ X1216)=>((X1214 @ X1217)=>((X1216)=(X1217)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1214 @ Z0)))))))=>(![X1218:$i > $o]:((?[X1219:$i]:(![X1220:$i]:(((X1218 @ X1220)<=>((X1220)=(X1219)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1218 @ Z0))))))=>(![X1221:$i, X1222:$i]:((((X1221)=(X1222))=>![X1223:$i, X1224:$i]:((((X1223)=(X1224))=>((in @ X1223 @ X1221)=>(in @ X1224 @ X1222))))))=>(![X2099:$i, X2100:$i]:((((X2099)=(X2100))=>![X2101:$i, X2102:$i]:((((X2101)=(X2102))=>((in @ X2101 @ X2099)<=>(in @ X2102 @ X2100))))))=>(![X1225:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1225 @ Z0))))=>![X1226:$i, X1227:$i]:(((X1225 @ X1226)=>((X1225 @ X1227)=>((X1226)=(X1227)))))))=>(![X2095:$i > $o, X2096:$i > $o]:((![X2097:$i, X2098:$i]:((((X2097)=(X2098))=>((X2095 @ X2097)<=>(X2096 @ X2098))))=>((exu @ (^[Z0/* 3 */:$i]:((X2095 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X2096 @ Z0)))))))=>(((emptyset)=(emptyset))=>(![X1228:$i, X1229:$i]:((((X1228)=(X1229))=>![X1230:$i, X1231:$i]:((((X1230)=(X1231))=>((setadjoin @ X1228 @ X1230)=(setadjoin @ X1229 @ X1231))))))=>(![X1232:$i, X1233:$i]:((((X1232)=(X1233))=>((powerset @ X1232)=(powerset @ X1233))))=>(![X2093:$i, X2094:$i]:((((X2093)=(X2094))=>((setunion @ X2093)=(setunion @ X2094))))=>(((omega)=(omega))=>(![X2090:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X2090 @ Z0))))=>![X2091:$i, X2092:$i]:(((X2090 @ X2091)=>((X2090 @ X2092)=>((X2091)=(X2092)))))))=>(![X1234:$i > $o, X1235:$i > $o]:((![X1236:$i, X1237:$i]:((((X1236)=(X1237))=>((X1234 @ X1236)<=>(X1235 @ X1237))))=>((exu @ (^[Z0/* 3 */:$i]:((X1234 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X1235 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1234 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1235 @ Z0)))))))))=>(![X2084:$i, X2085:$i]:((((X2084)=(X2085))=>![X2086:$i > $o, X2087:$i > $o]:((![X2088:$i]:(((in @ X2088 @ X2084)=>![X2089:$i]:(((in @ X2089 @ X2085)=>(((X2088)=(X2089))=>((X2086 @ X2088)<=>(X2087 @ X2089)))))))=>((dsetconstr @ X2084 @ (^[Z0/* 3 */:$i]:((X2086 @ Z0))))=(dsetconstr @ X2085 @ (^[Z0/* 3 */:$i]:((X2087 @ Z0)))))))))=>(![X2081:$i, X2082:$i]:((![X2083:$i]:(((in @ X2083 @ X2081)=>(in @ X2083 @ X2082)))=>(subset @ X2081 @ X2082)))=>(![X2079:$i, X2080:$i]:((((X2079)=(X2080))=>(subset @ X2080 @ X2079)))=>(![X2077:$i, X2078:$i]:((((X2077)=(X2078))=>(subset @ X2077 @ X2078)))=>(![X1238:$i, X1239:$i]:((![X1240:$i]:(((in @ X1240 @ X1238)=>(in @ X1240 @ X1239)))=>(subset @ X1238 @ X1239)))=>(![X1241:$i]:((subset @ emptyset @ X1241))=>(![X2074:$i, X2075:$i, X2076:$i]:(((subset @ X2074 @ X2075)=>((in @ X2076 @ X2074)=>(in @ X2076 @ X2075))))=>(![X2071:$i, X2072:$i, X2073:$i]:(((subset @ X2071 @ X2072)=>(~(in @ X2073 @ X2072)=>~(in @ X2073 @ X2071))))=>(![X2068:$i, X2069:$i, X2070:$i]:(((in @ X2070 @ X2068)=>(~(in @ X2070 @ X2069)=>~(subset @ X2068 @ X2069))))=>(![X2066:$i, X2067:$i]:((~(subset @ X2066 @ X2067)=>((X2066)!=(X2067))))=>(![X1242:$i, X1243:$i, X1244:$i]:(((in @ X1244 @ X1242)=>(~(in @ X1244 @ X1243)=>((X1242)!=(X1243)))))=>(![X1245:$i]:((subset @ X1245 @ X1245))=>(![X2063:$i, X2064:$i, X2065:$i]:(((subset @ X2063 @ X2064)=>((subset @ X2064 @ X2065)=>(subset @ X2063 @ X2065))))=>(![X1246:$i, X1247:$i]:((subset @ X1247 @ (setadjoin @ X1246 @ X1247)))=>(![X2060:$i, X2061:$i, X2062:$i]:(((subset @ X2060 @ X2062)=>(subset @ X2060 @ (setadjoin @ X2061 @ X2062))))=>(![X1248:$i, X1249:$i]:(((subset @ X1248 @ X1249)=>(in @ X1248 @ (powerset @ X1249))))=>(![X1250:$i, X1251:$i]:(((subset @ X1250 @ X1251)=>((subset @ X1251 @ X1250)=>((X1250)=(X1251)))))=>(![X1252:$i]:(((subset @ X1252 @ emptyset)=>((X1252)=(emptyset))))=>(![X2058:$i, X2059:$i]:(((subset @ X2059 @ X2058)=>(in @ X2059 @ (powerset @ X2058))))=>(![X2056:$i, X2057:$i]:(((in @ X2057 @ (powerset @ X2056))=>(subset @ X2057 @ X2056)))=>(![X1253:$i]:((in @ X1253 @ (powerset @ X1253)))=>(![X2054:$i, X2055:$i]:(((subset @ X2054 @ X2055)=>(subset @ (powerset @ X2054) @ (powerset @ X2055))))=>(![X1254:$i, X1255:$i > $o]:((in @ (dsetconstr @ X1254 @ (^[Z0/* 3 */:$i]:((X1255 @ Z0)))) @ (powerset @ X1254)))=>(![X2052:$i, X2053:$i > $o]:((subset @ (dsetconstr @ X2052 @ (^[Z0/* 3 */:$i]:((X2053 @ Z0)))) @ X2052))=>(![X1256:$i, X1257:$i, X1258:$i]:(((in @ X1258 @ X1256)=>(in @ X1258 @ (binunion @ X1256 @ X1257))))=>(![X2050:$i, X2051:$i]:((in @ X2051 @ (setadjoin @ X2050 @ (setadjoin @ X2051 @ emptyset))))=>(![X2047:$i, X2048:$i, X2049:$i]:(((in @ X2049 @ X2048)=>(in @ X2049 @ (binunion @ X2047 @ X2048))))=>(![X2043:$i, X2044:$i, X2045:$i, X2046:$o]:(((in @ X2045 @ (binunion @ X2043 @ X2044))=>(((in @ X2045 @ X2043)=>(X2046))=>(((in @ X2045 @ X2044)=>(X2046))=>(X2046)))))=>(![X1259:$i, X1260:$i, X1261:$i]:(((in @ X1261 @ (binunion @ X1259 @ X1260))=>((in @ X1261 @ X1259)|(in @ X1261 @ X1260))))=>(![X2041:$i, X2042:$i]:((subset @ X2041 @ (binunion @ X2041 @ X2042)))=>(![X2039:$i, X2040:$i]:((subset @ X2040 @ (binunion @ X2039 @ X2040)))=>(![X2036:$i, X2037:$i, X2038:$i]:(((in @ X2038 @ X2036)=>((in @ X2038 @ X2037)=>(in @ X2038 @ (binintersect @ X2036 @ X2037)))))=>(![X2033:$i, X2034:$i, X2035:$i]:(((subset @ X2035 @ X2033)=>((subset @ X2035 @ X2034)=>(subset @ X2035 @ (binintersect @ X2033 @ X2034)))))=>(![X2030:$i, X2031:$i, X2032:$i]:(((in @ X2032 @ (binintersect @ X2030 @ X2031))=>(in @ X2032 @ X2030)))=>(![X1262:$i, X1263:$i]:((subset @ (binintersect @ X1262 @ X1263) @ X1262))=>(![X2028:$i, X2029:$i]:(((subset @ X2028 @ X2029)=>((binintersect @ X2028 @ X2029)=(X2028))))=>(![X1264:$i, X1265:$i]:((((binintersect @ X1264 @ X1265)=(X1265))=>(subset @ X1265 @ X1264)))=>(![X1266:$i, X1267:$i, X1268:$i]:(((in @ X1268 @ (binintersect @ X1266 @ X1267))=>(in @ X1268 @ X1267)))=>(![X2025:$i, X2026:$i]:((~(?[X2027:$i]:(((in @ X2027 @ X2025)&(in @ X2027 @ X2026))))=>((binintersect @ X2025 @ X2026)=(emptyset))))=>(![X2023:$i, X2024:$i]:((subset @ (binintersect @ X2023 @ X2024) @ X2024))=>(![X1269:$i, X1270:$i]:(((subset @ X1270 @ X1269)=>((binintersect @ X1269 @ X1270)=(X1270))))=>(![X2021:$i, X2022:$i]:((((binintersect @ X2021 @ X2022)=(X2021))=>(subset @ X2021 @ X2022)))=>(![X1271:$i, X1272:$i, X1273:$i]:(((binintersect @ X1271 @ (binunion @ X1272 @ X1273))=(binunion @ (binintersect @ X1271 @ X1272) @ (binintersect @ X1271 @ X1273))))=>(![X1274:$i, X1275:$i, X1276:$i]:(((in @ X1276 @ X1274)=>(~(in @ X1276 @ X1275)=>(in @ X1276 @ (setminus @ X1274 @ X1275)))))=>(![X1277:$i, X1278:$i, X1279:$i]:(((in @ X1279 @ (setminus @ X1277 @ X1278))=>(in @ X1279 @ X1277)))=>(![X2018:$i, X2019:$i, X2020:$i]:(((in @ X2020 @ (setminus @ X2018 @ X2019))=>~(in @ X2020 @ X2019)))=>(![X2016:$i, X2017:$i]:(((subset @ X2016 @ X2017)=>((setminus @ X2016 @ X2017)=(emptyset))))=>(![X1280:$i, X1281:$i, X1282:$i]:((~(in @ X1282 @ (setminus @ X1280 @ X1281))=>((in @ X1282 @ X1280)=>(in @ X1282 @ X1281))))=>(![X2013:$i, X2014:$i, X2015:$i]:((~(in @ X2015 @ (setminus @ X2013 @ X2014))=>(~(in @ X2015 @ X2014)=>~(in @ X2015 @ X2013))))=>(![X1283:$i, X1284:$i, X1285:$i]:((~(in @ X1285 @ X1283)=>~(in @ X1285 @ (setminus @ X1283 @ X1284))))=>(![X2010:$i, X2011:$i, X2012:$i]:(((in @ X2012 @ X2011)=>~(in @ X2012 @ (setminus @ X2010 @ X2011))))=>(![X2008:$i, X2009:$i]:((subset @ (setminus @ X2008 @ X2009) @ X2008))=>(![X2006:$i, X2007:$i]:((((setminus @ X2006 @ X2007)=(emptyset))=>(subset @ X2006 @ 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X1716)=>![X1720:$i]:(((in @ X1720 @ X1716)=>((in @ (kpair @ X1719 @ X1720) @ X1717)=>(X1718 @ (kpair @ X1719 @ X1720)))))))=>![X1721:$i]:(((in @ X1721 @ X1717)=>(X1718 @ X1721)))))))=>(![X1714:$i, X1715:$i]:(((in @ X1715 @ (breln1Set @ X1714))=>(breln1 @ X1714 @ X1715)))=>((choice2fnsingleton)=>(![X1712:$i, X1713:$i > $i > $o]:((breln1 @ X1712 @ (dpsetconstr @ X1712 @ X1712 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1713 @ Z0 @ Z1))))))=>(![X1571:$i, X1572:$i]:(((breln1 @ X1571 @ X1572)=>![X1573:$i > $o]:((![X1574:$i]:(((in @ X1574 @ X1571)=>![X1575:$i]:(((in @ X1575 @ X1571)=>((in @ (kpair @ X1574 @ X1575) @ X1572)=>(X1573 @ (kpair @ X1574 @ X1575)))))))=>![X1576:$i]:(((in @ X1576 @ X1572)=>(X1573 @ X1576)))))))=>(![X1707:$i, X1708:$i]:(((breln1 @ X1707 @ X1708)=>![X1709:$i]:(((breln1 @ X1707 @ X1709)=>(![X1710:$i]:(((in @ X1710 @ X1707)=>![X1711:$i]:(((in @ X1711 @ X1707)=>((in @ (kpair @ X1710 @ X1711) @ X1708)=>(in @ (kpair @ X1710 @ X1711) @ X1709))))))=>(subset @ X1708 @ 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eqimpsubset2]), emptysetAx]), disjointsetsI1]), singletonsubset]), binintersectSubset2]), setunionsingleton1]), binintersectEL]), binintersectSubset5]), binintersectI]), c_0_321]), binunionRsub]), binunionLsub]), c_0_322]), binunionEcases]), binunionIR]), upairset2IR]), c_0_323]), c_0_324]), powersetsubset]), theprop]), powersetE1]), powersetI1]), setadjoinSub2]), singletoninpowerset]), subsetTrans]), setukpairinjL2]), notequalI1]), notsubsetI]), upairequniteq]), subsetE2]), subsetE]), eqimpsubset1]), singletoninpowunion]), subsetI1]), setukpairinjR]), c_0_325]), c_0_326]), c_0_327]), omega__Cong]), setunion__Cong]), emptyset__Cong]), ksndpairEq]), c_0_328]), in__Cong]), cartprodsndin]), notdexE]), quantDeMorgan3]), quantDeMorgan1]), cartprodpairmemEL]), vacuousDall]), c_0_329]), cartprodpairmemER]), upairsetIR]), upairsetIL]), upairsetE]), cartprodsndpairEq]), notinsingleton]), uniqinunit]), c_0_330]), setunionE]), powersetE]), emptyInPowerset]), c_0_331]), emptyinPowerset]), powersetI]), setadjoinOr]), c_0_332]), setadjoinE]), emptyinunitempty]), setadjoinIL]), c_0_333]), nonemptyI1]), c_0_334]), c_0_335]), c_0_336]), setext]), c_0_337]), ap2p]), prop2setE]), omegaSAx]), funcinfuncset]), omega0Ax]), powersetAx]), setadjoinAx]), brelnall1]), c_0_338]), inComplementUnionImpNotIn1]), funcGraphProp2]), funcextLem]), funcext]), funcext2]), ap2apEq2]), c_0_339]), c_0_340]), c_0_341]), upairset2E]), c_0_342]), c_0_343]), ubforcartprodlem3]), c_0_344]), theeq]), iftrue]), binintersectT_lem]), powersetT_lem]), setminusT_lem]), complementT_lem]), subsetTI]), powersetTI1]), binintersectTERcontra]), contrasubsetT1]), doubleComplementE1]), doubleComplementSub1]), doubleComplementSub2]), complementTnotintersectT]), complementImpComplementIntersect]), contraSubsetComplement]), binunionTILcontra]), binunionTIRcontra]), inIntersectImpInUnion]), inIntersectImpInUnion2]), complementTcontraSubset]), complementInPowersetComplementIntersect]), complementSubsetComplementIntersect]), binunionTE]), demorgan1a]), demorgan2a]), demorgan2b]), woz13rule0]), woz13rule2]), woz13rule3]), woz13rule4]), woz1_1]), woz1_2]), woz1_5]), breln1all1]), eqbreln1]), breln1invI]), breln1compprop]), breln1compI]), breln1compE]), breln1compEex]), breln1unionprop]), setunionE2]), breln1unionIL]), breln1unionIR]), breln1unionE]), woz2Ex]), woz2B]), image1Ex]), c_0_345]), c_0_346]), foundation2]), surjCantorThm]), leftInvIsSurj]), surjFuncSetFuncSurj]), surjFuncSetFuncIn]), injFuncSetFuncInj]), injFuncSetFuncIn]), injFuncInInjFuncSet]), c_0_347]), c_0_348]), woz2A]), woz2W]), breln1unionCommutes]), breln1unionEcases]), breln1unionI]), breln1invE]), breln1invprop]), subbreln1]), c_0_349]), breln1SetBreln1]), breln1all2]), woz1_4]), woz1_3]), woz13rule1]), demorgan2]), demorgan2b2]), demorgan1]), demorgan1b]), demorgan2a2]), complementUnionInPowersetComplement]), demorgan2a1]), binunionTEcontra]), inComplementUnionImpInComplement1]), intersectInPowersetIntersectUnions]), inIntersectImpInIntersectUnions]), doubleComplementEq]), doubleComplementI1]), contrasubsetT3]), contrasubsetT2]), contrasubsetT]), binintersectTELcontra]), complementTE1]), complementTI1]), powersetTE1]), setextT]), binunionT_lem]), iftrueorfalse]), iffalse]), ifp]), c_0_350]), c_0_351]), c_0_352]), c_0_353]), ap2apEq1]), eqbreln]), subbreln]), funcGraphProp4]), funcGraphProp3]), funcGraphProp1]), brelnall2]), c_0_354]), c_0_355]), c_0_356]), infuncsetfunc]), app]), c_0_357]), c_0_358]), c_0_359]), c_0_360]), cartprodpairsurjEq]), cartprodfstpairEq]), cartprodmempaircEq]), kpairsurjEq]), setukpairinjR2]), setukpairinjR1]), setukpairinjR12]), setukpairinjR11]), setukpairinjL]), cartprodfstin]), kfstpairEq]), c_0_361]), setukpairinjL1]), singletonsuniq]), c_0_362]), setunionsingleton]), setunionsingleton2]), cartprodmempair]), cartprodmempair1]), cartprodpairin]), ubforcartprodlem2]), ubforcartprodlem1]), upairinpowunion]), upairsubunion]), kpairp]), symdiffIneg2]), symdiffIneg1]), setminusSubset1]), setminusLsub]), setminusIRneg]), setminusELneg]), setminusSubset2]), setminusER]), binintersectSubset1]), binintersectRsub]), kpairiskpair]), setukpairIR]), setukpairIL]), secondinupair]), symdiffI2]), symdiffI1]), symdiffE]), setminusILneg]), setminusERneg]), setminusEL]), setminusI]), bs114d]), binintersectSubset4]), binintersectER]), binintersectSubset3]), binintersectLsub]), binunionE]), binunionIL]), c_0_363]), inPowerset]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub]), subsetRefl]), notequalI2]), emptysetsubset]), subsetI2]), c_0_364]), powerset__Cong]), setadjoin__Cong]), c_0_365]), inCongP]), c_0_366]), c_0_367]), c_0_368]), notdallE]), prop2setI]), quantDeMorgan4]), quantDeMorgan2]), singletonsswitch]), eqinunit]), nonemptyImpWitness]), c_0_369]), subPowSU]), setunionI]), c_0_370]), setadjoinIR]), nonemptyE1]), noeltsimpempty]), emptyI]), notinemptyset]), emptysetimpfalse]), emptysetE]), c_0_371]), c_0_372]), c_0_373]), c_0_374]), c_0_375]), wellorderingAx]), foundationAx]), c_0_376]), omegaIndAx]), setunionAx]), setextAx])])]), c_0_377])).
169.42/22.03	thf(c_0_379, negated_conjecture, ![X2176:$i, X2177:$i, X2179:$i, X2180:$i, X2181:$i, X2182:$i, X2183:$i, X2184:$i, X2185:$i, X2186:$i, X2187:$i, X2189:$i, X2190:$i, X2192:$i, X2193:$i, X2194:$i, X2195:$i, X2196:$i, X2198:$i, X2199:$i > $i > $o, X2200:$i, X2203:$i, X2205:$i, X2206:$i, X2207:$i, X2208:$i, X2210:$i, X2211:$i > $o, X2212:$i, X2213:$i > $o, X2214:$i, X2215:$i, X2216:$i > $o, X2217:$i, X2218:$i, X2219:$i > $o, X2220:$i, X2221:$i > $o, X2223:$i, X2224:$o, X2225:$i, X2226:$i, X2227:$o, X2228:$i, X2229:$i, X2230:$i > $o, X2232:$i, X2233:$i, X2236:$i, X2238:$i, X2240:$i, X2241:$i > $o, X2242:$i, X2243:$i, X2245:$i, X2246:$i > $o, X2247:$i, X2248:$i, X2249:$i, X2250:$i, X2251:$i, X2252:$i, X2253:$i, X2254:$i, X2255:$i, X2256:$i, X2257:$i, X2258:$o, X2259:$i, X2260:$i, X2261:$i, X2262:$i, X2263:$i, X2264:$i, X2266:$i, X2267:$i, X2268:$i, X2269:$i, X2270:$i, X2271:$i, X2272:$i, X2273:$i, X2274:$i, X2275:$i, X2276:$o, X2278:$i, X2279:$i, X2280:$i > $o, X2282:$i, X2283:$i, X2284:$i, X2286:$i, X2287:$i, X2288:$i, X2289:$i, X2290:$i, X2291:$i, X2292:$i, X2293:$i, X2294:$i, X2295:$i, X2296:$i, X2297:$i, X2298:$i, X2299:$i, X2300:$i, X2301:$i, X2302:$i > $o, X2303:$i, X2304:$i > $o, X2305:$i, X2306:$i, X2307:$i > $o, X2308:$i, X2310:$i, X2311:$i > $o, X2313:$i, X2314:$i, X2315:$i > $o, X2317:$i, X2318:$i, X2319:$i > $o, X2320:$i, X2322:$o, X2323:$i, X2324:$i > $o, X2326:$i, X2327:$i, X2328:$i > $o, X2329:$i, X2331:$i > $o, X2332:$i, X2334:$i > $o, X2335:$i, X2338:$i > $o, X2339:$i, X2341:$i, X2342:$i, X2343:$i, X2344:$i, X2345:$i, X2346:$i, X2347:$i, X2348:$i, X2349:$i > $o, X2350:$i, X2351:$i, X2352:$i > $o, X2353:$i > $o, X2356:$i, X2357:$i, X2358:$i, X2359:$i, X2360:$i, X2361:$i, X2362:$i, X2363:$i, X2364:$i > $o, X2365:$i, X2366:$i, X2367:$i > $o, X2368:$i > $o, X2371:$i, X2372:$i, X2373:$i > $o, X2374:$i > $o, X2377:$i, X2378:$i, X2380:$i, X2381:$i, X2382:$i, X2383:$i, X2384:$i, X2385:$i, X2387:$i, X2388:$i, X2389:$i, X2390:$i, X2391:$i, X2392:$i, X2393:$i, X2394:$i, X2395:$i, X2396:$i, X2397:$i, X2398:$i, X2399:$i, X2400:$i, X2401:$i, X2402:$i, X2403:$i, X2404:$i, X2405:$i, X2406:$i, X2407:$i, X2408:$i, X2409:$i, X2410:$i, X2411:$i, X2412:$i, X2413:$i, X2414:$i, X2415:$i, X2416:$i, X2417:$i, X2418:$i, X2419:$i, X2420:$i, X2421:$i, X2422:$i, X2423:$i, X2424:$i > $o, X2425:$i, X2426:$i > $o, X2427:$i, X2428:$i, X2429:$i, X2430:$i, X2431:$i, X2432:$i, X2433:$i, X2434:$i, X2435:$i, X2436:$i, X2437:$i, X2438:$o, X2439:$i, X2440:$i, X2441:$i, X2442:$i, X2443:$i, X2444:$i, X2445:$i, X2446:$i, X2447:$i, X2448:$i, X2449:$i, X2450:$i, X2451:$i, X2452:$i, X2453:$i, X2454:$i, X2455:$i, X2456:$i, X2457:$i, X2458:$i, X2459:$i, X2460:$i, X2461:$i, X2462:$i, X2463:$i, X2464:$i, X2465:$i, X2467:$i, X2468:$i, X2469:$i, X2470:$i, X2471:$i, X2472:$i, X2473:$i, X2474:$i, X2475:$i, X2476:$i, X2477:$i, X2478:$i, X2479:$i, X2480:$i, X2481:$i, X2482:$i, X2483:$i, X2484:$i, X2485:$i, X2486:$i, X2487:$i, X2488:$i, X2489:$i, X2490:$i, X2491:$i, X2492:$i, X2493:$i, X2494:$i, X2495:$i, X2496:$i, X2497:$i, X2498:$i, X2499:$i, X2500:$i, X2501:$i, X2502:$i, X2503:$i, X2504:$i, X2505:$i, X2506:$o, X2507:$i, X2508:$i, X2509:$i, X2510:$i, X2511:$i, X2512:$i, X2513:$i, X2514:$i, X2515:$i, X2516:$i, X2517:$i, X2518:$i, X2519:$i, X2520:$i, X2521:$i, X2522:$i, X2523:$i, X2524:$i, X2525:$i, X2526:$i, X2527:$i, X2528:$i, X2529:$i, X2530:$i, X2531:$i, X2532:$i, X2533:$i, X2534:$i, X2535:$i, X2536:$i, X2537:$i, X2538:$i, X2539:$i, X2540:$i, X2541:$i, X2542:$i, X2543:$i, X2544:$i, X2545:$i, X2546:$i, X2547:$i, X2548:$i, X2549:$i, X2550:$i, X2551:$i, X2552:$i, X2553:$i, X2554:$i, X2555:$i, X2556:$i, X2557:$i, X2558:$i, X2559:$i, X2560:$i, X2561:$i, X2562:$i, X2563:$i, X2564:$i, X2565:$i, X2568:$i, X2569:$i, X2570:$i, X2571:$i, X2572:$i, X2574:$i, X2575:$i, X2576:$i, X2577:$i, X2578:$i > $o, X2581:$i, X2582:$i, X2583:$i > $o, X2585:$i, X2586:$i > $o, X2587:$i, X2589:$i, X2590:$i > $o, X2593:$i, X2594:$i, X2595:$i, X2596:$i, X2597:$i, X2598:$i, X2599:$i, X2600:$i, X2601:$i, X2602:$i, X2603:$i, X2604:$i, X2605:$i, X2606:$i, X2607:$i, X2608:$i, X2609:$i, X2610:$i, X2611:$i, X2612:$i, X2613:$i, X2614:$i, X2615:$i, X2616:$i, X2617:$i, X2618:$i, X2619:$i, X2620:$i, X2621:$i, X2622:$i, X2623:$i, X2624:$i, X2625:$i, X2626:$i, X2627:$i, X2628:$i, X2629:$i, X2630:$i, X2631:$i, X2632:$i, X2633:$i, X2634:$i, X2635:$i, X2636:$i, X2637:$i, X2638:$i, X2639:$i, X2640:$i, X2641:$i, X2642:$i, X2643:$i, X2644:$i, X2645:$i, X2646:$i, X2647:$i, X2648:$i, X2649:$i, X2650:$i, X2651:$i, X2652:$i, X2653:$i, X2654:$i, X2655:$i, X2656:$i, X2657:$i, X2658:$i, X2659:$i, X2660:$i, X2661:$i, X2662:$i, X2663:$i, X2664:$i, X2665:$i > $i > $o, X2666:$i, X2667:$i, X2668:$i, X2669:$i, X2670:$i > $i > $o, X2671:$i, X2672:$i, X2673:$i > $i > $o, X2674:$i, X2675:$i, X2676:$i > $i > $o, X2677:$i, X2678:$i, X2679:$i, X2680:$i, X2681:$i > $i > $o, X2682:$i, X2683:$i, X2684:$i, X2685:$i, X2686:$i > $i > $o, X2687:$i, X2688:$i, X2689:$i, X2690:$i, X2691:$i > $i > $o, X2692:$i, X2693:$i, X2694:$i, X2695:$i, X2696:$i, X2697:$i, X2698:$i, X2699:$i, X2700:$i, X2701:$i, X2702:$i, X2703:$i, X2704:$i, X2705:$i, X2706:$i, X2707:$i, X2708:$i, X2709:$i, X2710:$i, X2711:$i, X2712:$i, X2713:$i, X2714:$i, X2715:$i, X2716:$i, X2717:$i, X2718:$i > $i, X2720:$i, X2721:$i, X2722:$i > $i, X2724:$i, X2725:$i, X2726:$i > $i, X2728:$i, X2729:$i, X2730:$i, X2731:$i > $o, X2734:$i, X2735:$i, X2736:$i, X2737:$i, X2738:$i > $o, X2741:$i, X2742:$i, X2743:$i > $o, X2744:$i, X2745:$i, X2746:$i, X2747:$i, X2748:$i, X2749:$i, X2750:$i, X2751:$i, X2752:$i, X2753:$i, X2754:$i, X2755:$i, X2756:$i, X2757:$i, X2758:$i, X2759:$i, X2760:$i, X2761:$i, X2762:$i, X2764:$i, X2765:$i, X2766:$i, X2767:$i, X2768:$i, X2769:$i, X2770:$i, X2771:$i, X2772:$i, X2773:$i, X2774:$i, X2777:$i, X2778:$i, X2779:$i, X2780:$i, X2785:$i, X2786:$i, X2787:$i, X2788:$i, X2790:$i, X2791:$i, X2792:$i, X2793:$i, X2795:$i, X2796:$i, X2797:$i, X2798:$i, X2799:$i, X2800:$i, X2801:$i, X2802:$i, X2803:$i, X2804:$i, X2805:$i > $i, X2807:$i, X2808:$i, X2809:$i, X2810:$i, X2811:$i, X2812:$i, X2813:$i > $i, X2815:$i, X2816:$i, X2817:$i > $i, X2819:$i, X2820:$i, X2821:$i, X2822:$i, X2823:$i, X2824:$o, X2825:$i, X2826:$i, X2827:$i, X2828:$o, X2829:$i, X2830:$i, X2831:$i, X2832:$o, X2833:$i, X2834:$i, X2835:$i, X2836:$o, X2837:$i, X2838:$i, X2839:$i, X2840:$o, X2841:$i, X2842:$i, X2843:$i, X2844:$o, X2845:$i, X2846:$i, X2847:$i, X2848:$i, X2849:$i, X2850:$o, X2851:$i, X2852:$i, X2853:$i, X2854:$o, X2855:$i, X2856:$i, X2857:$i, X2858:$o, X2859:$i, X2860:$i, X2861:$i, X2862:$i, X2863:$i, X2864:$i, X2865:$i, X2866:$i, X2867:$i, X2868:$i, X2869:$i, X2870:$i, X2871:$i, X2872:$i, X2873:$i, X2874:$i, X2875:$i, X2876:$i, X2879:$i, X2880:$i, X2881:$i, X2883:$i, X2884:$i, X2885:$i, X2887:$i, X2888:$i, X2889:$i, X2890:$i, X2891:$i, X2892:$i, X2893:$i, X2894:$i, X2895:$i, X2896:$i, X2897:$i, X2898:$i, X2899:$i, X2900:$i, X2901:$i, X2902:$i, X2903:$i, X2904:$i, X2905:$i, X2906:$i, X2907:$i, X2908:$i, X2909:$i, X2910:$i, X2911:$i, X2912:$i, X2913:$i, X2914:$i, X2915:$i, X2916:$i, X2917:$i, X2918:$i, X2919:$i, X2920:$i, X2921:$i, X2922:$i, X2923:$i, X2924:$i, X2925:$i, X2926:$i, X2927:$i, X2928:$i, X2929:$i, X2930:$i, X2931:$i, X2932:$i, X2933:$i, X2934:$i, X2935:$i, X2936:$i, X2937:$i, X2938:$i, X2939:$i, X2940:$i, X2941:$i, X2942:$i, X2943:$i, X2944:$i, X2945:$i, X2946:$i, X2947:$i, X2948:$i, X2949:$i, X2950:$i, X2951:$i, X2952:$i, X2953:$i, X2954:$i, X2955:$i, X2956:$i, X2957:$i, X2958:$i, X2959:$i, X2960:$i, X2961:$i, X2962:$i, X2963:$i, X2964:$i, X2965:$i, X2966:$i, X2967:$i, X2968:$i, X2969:$i, X2970:$i, X2971:$i, X2972:$i, X2973:$i, X2974:$i, X2975:$i, X2976:$i, X2977:$i, X2978:$i, X2979:$i, X2980:$i, X2981:$i, X2982:$i, X2983:$i, X2984:$i, X2985:$i, X2986:$i, X2987:$i, X2988:$i, X2989:$i, X2990:$o, X2991:$i, X2992:$i, X2993:$i, X2994:$i, X2995:$i, X2996:$i, X2997:$i, X2998:$i, X2999:$i, X3000:$i, X3001:$i, X3002:$i, X3003:$i, X3004:$i, X3005:$i, X3006:$i, X3007:$i, X3008:$i, X3009:$i, X3010:$i, X3011:$i, X3012:$i, X3013:$i, X3014:$i, X3015:$i, X3016:$i, X3017:$i, X3018:$i, X3019:$i, X3020:$i, X3021:$i, X3022:$i, X3023:$i, X3024:$i, X3025:$i, X3026:$i, X3027:$i, X3028:$i, X3029:$i, X3030:$i, X3031:$i, X3032:$i, X3033:$i, X3034:$i, X3035:$i, X3036:$i, X3037:$i, X3038:$i, X3039:$i, X3040:$i, X3041:$i, X3042:$i, X3043:$i, X3044:$i, X3045:$i, X3046:$i, X3047:$i, X3048:$i, X3049:$i, X3050:$i, X3051:$i, X3052:$i, X3053:$i, X3054:$i, X3055:$i, X3056:$i, X3057:$i, X3058:$i, X3059:$i, X3060:$i, X3061:$i, X3062:$i, X3063:$i, X3064:$i, X3065:$i, X3066:$i, X3067:$i, X3068:$i, X3069:$i, X3070:$i, X3071:$i, X3072:$i, X3073:$i, X3074:$i > $o, X3077:$i, X3078:$i, X3079:$i, X3080:$i, X3081:$i > $i > $o, X3082:$i, X3083:$i, X3084:$i > $o, X3087:$i, X3088:$i, X3089:$i, X3090:$i, X3093:$i, X3094:$i, X3095:$i, X3100:$i, X3101:$i, X3102:$i, X3103:$i, X3104:$i, X3105:$i, X3106:$i, X3107:$i, X3108:$i, X3109:$i, X3110:$i, X3111:$i, X3112:$i, X3113:$i, X3114:$i, X3115:$i, X3116:$i, X3117:$i, X3118:$i, X3119:$i, X3120:$i, X3121:$i, X3122:$i, X3123:$i, X3125:$i, X3126:$i, X3127:$i, X3128:$i, X3129:$i, X3130:$o, X3132:$i, X3133:$i, X3134:$i, X3135:$i, X3136:$i, X3137:$i, X3138:$i, X3139:$i, X3140:$i, X3141:$i, X3142:$i, X3143:$i, X3144:$i, X3145:$i, X3146:$i, X3147:$i, X3148:$i, X3149:$i, X3150:$i, X3151:$i, X3152:$i, X3153:$i, X3154:$i, X3155:$i, X3156:$i, X3157:$i, X3158:$i, X3159:$i, X3160:$o, X3161:$i, X3162:$i, X3163:$i, X3164:$i, X3165:$i, X3166:$i, X3167:$i, X3168:$i, X3169:$i, X3170:$i, X3171:$i, X3172:$i, X3173:$i, X3174:$i, X3175:$i, X3176:$i, X3177:$i, X3178:$i > $i, X3180:$i, X3182:$i, X3183:$i, X3184:$i, X3185:$i > $i, X3186:$i, X3187:$i > $i, X3188:$i, X3190:$i, X3191:$i > $i, X3192:$i, X3193:$i, X3194:$i, X3195:$i > $i, X3196:$i, X3198:$i, X3199:$i > $i, X3200:$i, X3201:$i, X3202:$i, X3203:$i, X3204:$i, X3205:$i, X3206:$i, X3207:$i, X3208:$i, X3209:$i, X3210:$i, X3211:$i, X3212:$i, X3213:$i, X3214:$i, X3215:$i, X3216:$i, X3217:$i, X3218:$i, X3219:$i > $i, X3221:$i, X3223:$i, X3224:$i, X3225:$i]:((((~(in @ (esk1_2 @ X2176 @ X2177) @ X2176)|~(in @ (esk1_2 @ X2176 @ X2177) @ X2177)|((X2176)=(X2177)))&((in @ (esk1_2 @ X2176 @ X2177) @ X2176)|(in @ (esk1_2 @ X2176 @ X2177) @ X2177)|((X2176)=(X2177))))&(~(in @ X2179 @ emptyset)&(((~(in @ X2182 @ (setadjoin @ X2180 @ X2181))|(((X2182)=(X2180))|(in @ X2182 @ X2181)))&((((X2182)!=(X2180))|(in @ X2182 @ (setadjoin @ X2180 @ X2181)))&(~(in @ X2182 @ X2181)|(in @ X2182 @ (setadjoin @ X2180 @ X2181)))))&(((~(in @ X2184 @ (powerset @ X2183))|(~(in @ X2185 @ X2184)|(in @ X2185 @ X2183)))&(((in @ (esk2_2 @ X2186 @ X2187) @ X2187)|(in @ X2187 @ (powerset @ X2186)))&(~(in @ (esk2_2 @ X2186 @ X2187) @ X2186)|(in @ X2187 @ (powerset @ X2186)))))&(((((in @ X2190 @ (esk3_2 @ X2189 @ X2190))|~(in @ X2190 @ (setunion @ X2189)))&((in @ (esk3_2 @ X2189 @ X2190) @ X2189)|~(in @ X2190 @ (setunion @ X2189))))&(~(in @ X2193 @ X2194)|~(in @ X2194 @ X2192)|(in @ X2193 @ (setunion @ X2192))))&((in @ emptyset @ omega)&((~(in @ X2195 @ omega)|(in @ (setadjoin @ X2195 @ X2195) @ omega))&(((((in @ (esk4_1 @ X2196) @ omega)|~(in @ emptyset @ X2196)|(~(in @ X2198 @ omega)|(in @ X2198 @ X2196)))&((in @ (esk4_1 @ X2196) @ X2196)|~(in @ emptyset @ X2196)|(~(in @ X2198 @ omega)|(in @ X2198 @ X2196))))&(~(in @ (setadjoin @ (esk4_1 @ X2196) @ (esk4_1 @ X2196)) @ X2196)|~(in @ emptyset @ X2196)|(~(in @ X2198 @ omega)|(in @ X2198 @ X2196))))&((((((in @ (esk7_3 @ X2199 @ X2200 @ X2203) @ X2200)|~(in @ X2203 @ (esk6_2 @ X2199 @ X2200))|(in @ (esk5_2 @ X2199 @ X2200) @ X2200))&((X2199 @ (esk7_3 @ X2199 @ X2200 @ X2203) @ X2203)|~(in @ X2203 @ (esk6_2 @ X2199 @ X2200))|(in @ (esk5_2 @ X2199 @ X2200) @ X2200)))&(~(in @ X2206 @ X2200)|~(X2199 @ X2206 @ X2205)|(in @ X2205 @ (esk6_2 @ X2199 @ X2200))|(in @ (esk5_2 @ X2199 @ X2200) @ X2200)))&((((in @ (esk7_3 @ X2199 @ X2200 @ X2203) @ X2200)|~(in @ X2203 @ (esk6_2 @ X2199 @ X2200))|~(exu @ (^[Z0/* 3 */:$i]:((X2199 @ (esk5_2 @ X2199 @ X2200) @ Z0)))))&((X2199 @ (esk7_3 @ X2199 @ X2200 @ X2203) @ X2203)|~(in @ X2203 @ (esk6_2 @ X2199 @ X2200))|~(exu @ (^[Z0/* 3 */:$i]:((X2199 @ (esk5_2 @ X2199 @ X2200) @ Z0))))))&(~(in @ X2206 @ X2200)|~(X2199 @ X2206 @ X2205)|(in @ X2205 @ (esk6_2 @ X2199 @ X2200))|~(exu @ (^[Z0/* 3 */:$i]:((X2199 @ (esk5_2 @ X2199 @ X2200) @ Z0)))))))&((((in @ (esk8_1 @ X2207) @ X2207)|~(in @ X2208 @ X2207))&(~(in @ X2210 @ (esk8_1 @ X2207))|~(in @ X2210 @ X2207)|~(in @ X2208 @ X2207)))&((epred1_0)&((~(exu @ (^[Z0/* 3 */:$i]:((X2211 @ Z0))))|(X2211 @ (descr @ (^[Z0/* 3 */:$i]:((X2211 @ Z0))))))&((~(in @ X2214 @ X2212)|(~(X2213 @ X2214)|(in @ X2214 @ (dsetconstr @ X2212 @ (^[Z0/* 3 */:$i]:((X2213 @ Z0)))))))&((~(in @ X2217 @ (dsetconstr @ X2215 @ (^[Z0/* 3 */:$i]:((X2216 @ Z0)))))|(in @ X2217 @ X2215))&((~(in @ X2220 @ (dsetconstr @ X2218 @ (^[Z0/* 3 */:$i]:((X2219 @ Z0)))))|(X2219 @ X2220))&((((X2221 @ (esk9_1 @ X2221))|~(exu @ (^[Z0/* 3 */:$i]:((X2221 @ Z0)))))&(~(X2221 @ X2223)|((esk9_1 @ X2221)=(X2223))|~(exu @ (^[Z0/* 3 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X2240)))&((~(nonempty @ X2243)|(in @ (esk15_1 @ X2243) @ X2243))&((~(in @ X2247 @ X2245)|(~(X2246 @ X2247)|(nonempty @ (dsetconstr @ X2245 @ (^[Z0/* 3 */:$i]:((X2246 @ Z0)))))))&((~(in @ X2249 @ X2248)|(nonempty @ X2248))&((in @ X2250 @ (setadjoin @ X2250 @ X2251))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X2254 @ X2253)|(in @ X2254 @ (setadjoin @ X2252 @ X2253)))&(((((in @ X2257 @ X2256)|(X2258)|((X2257)=(X2255))|~(in @ X2257 @ (setadjoin @ X2255 @ X2256)))&(~(X2258)|(X2258)|((X2257)=(X2255))|~(in @ X2257 @ (setadjoin @ X2255 @ X2256))))&(((in @ X2257 @ X2256)|(X2258)|~(X2258)|~(in @ X2257 @ (setadjoin @ X2255 @ X2256)))&(~(X2258)|(X2258)|~(X2258)|~(in @ X2257 @ (setadjoin @ X2255 @ X2256)))))&((~(in @ X2261 @ (setadjoin @ X2259 @ X2260))|(((X2261)=(X2259))|(in @ X2261 @ X2260)))&(((dsetconstr @ X2262 @ (^[Z0/* 3 */:$i]:(($true))))=(X2262))&((((in @ (esk16_2 @ X2263 @ X2264) @ X2264)|(in @ X2264 @ (powerset @ X2263)))&(~(in @ (esk16_2 @ X2263 @ X2264) @ X2263)|(in 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X3127))|~(in @ X3129 @ X3125)|~(in @ X3128 @ X3125)|~(breln1 @ X3125 @ X3127)|~(breln1 @ X3125 @ X3126))&(((in @ (kpair @ X3128 @ (esk82_6 @ X3125 @ X3126 @ X3127 @ X3128 @ X3129 @ X3130)) @ X3126)|(X3130)|~(in @ (kpair @ X3128 @ X3129) @ (breln1compset @ X3125 @ X3126 @ X3127))|~(in @ X3129 @ X3125)|~(in @ X3128 @ X3125)|~(breln1 @ X3125 @ X3127)|~(breln1 @ X3125 @ X3126))&(((in @ (kpair @ (esk82_6 @ X3125 @ X3126 @ X3127 @ X3128 @ X3129 @ X3130) @ X3129) @ X3127)|(X3130)|~(in @ (kpair @ X3128 @ X3129) @ (breln1compset @ X3125 @ X3126 @ X3127))|~(in @ X3129 @ X3125)|~(in @ X3128 @ X3125)|~(breln1 @ X3125 @ X3127)|~(breln1 @ X3125 @ X3126))&(~(X3130)|(X3130)|~(in @ (kpair @ X3128 @ X3129) @ (breln1compset @ X3125 @ X3126 @ X3127))|~(in @ X3129 @ X3125)|~(in @ X3128 @ X3125)|~(breln1 @ X3125 @ X3127)|~(breln1 @ X3125 @ X3126)))))&((~(breln1 @ X3132 @ X3133)|(~(breln1 @ X3132 @ X3134)|(breln1 @ X3132 @ (binunion @ X3133 @ X3134))))&((~(breln1 @ X3135 @ X3136)|(~(breln1 @ X3135 @ X3137)|(~(in @ X3138 @ X3135)|(~(in @ X3139 @ X3135)|(~(in @ (kpair @ X3138 @ X3139) @ X3136)|(in @ (kpair @ X3138 @ X3139) @ (binunion @ X3136 @ X3137)))))))&((~(breln1 @ X3140 @ X3141)|(~(breln1 @ X3140 @ X3142)|(~(in @ X3143 @ X3140)|(~(in @ X3144 @ X3140)|(~(in @ (kpair @ X3143 @ X3144) @ X3142)|(in @ (kpair @ X3143 @ X3144) @ (binunion @ X3141 @ X3142)))))))&(((~(in @ (kpair @ X3148 @ X3149) @ X3146)|(in @ (kpair @ X3148 @ X3149) @ (binunion @ X3146 @ X3147))|~(in @ X3149 @ X3145)|~(in @ X3148 @ X3145)|~(breln1 @ X3145 @ X3147)|~(breln1 @ X3145 @ X3146))&(~(in @ (kpair @ X3148 @ X3149) @ X3147)|(in @ (kpair @ X3148 @ X3149) @ (binunion @ X3146 @ X3147))|~(in @ X3149 @ X3145)|~(in @ X3148 @ X3145)|~(breln1 @ X3145 @ X3147)|~(breln1 @ X3145 @ X3146)))&((~(breln1 @ X3150 @ X3151)|(~(breln1 @ X3150 @ X3152)|(~(in @ X3153 @ X3150)|(~(in @ X3154 @ X3150)|(~(in @ (kpair @ X3153 @ X3154) @ (binunion @ X3151 @ X3152))|((in @ (kpair @ X3153 @ X3154) @ X3151)|(in @ (kpair @ X3153 @ X3154) @ X3152)))))))&(((((in @ (kpair @ X3158 @ X3159) @ X3157)|(X3160)|(in @ (kpair @ X3158 @ X3159) @ X3156)|~(in @ (kpair @ X3158 @ X3159) @ (binunion @ X3156 @ X3157))|~(in @ X3159 @ X3155)|~(in @ X3158 @ X3155)|~(breln1 @ X3155 @ X3157)|~(breln1 @ X3155 @ X3156))&(~(X3160)|(X3160)|(in @ (kpair @ X3158 @ X3159) @ X3156)|~(in @ (kpair @ X3158 @ X3159) @ (binunion @ X3156 @ X3157))|~(in @ X3159 @ X3155)|~(in @ X3158 @ X3155)|~(breln1 @ X3155 @ X3157)|~(breln1 @ X3155 @ X3156)))&(((in @ (kpair @ X3158 @ X3159) @ X3157)|(X3160)|~(X3160)|~(in @ (kpair @ X3158 @ X3159) @ (binunion @ X3156 @ X3157))|~(in @ X3159 @ X3155)|~(in @ X3158 @ X3155)|~(breln1 @ X3155 @ X3157)|~(breln1 @ X3155 @ X3156))&(~(X3160)|(X3160)|~(X3160)|~(in @ (kpair @ X3158 @ X3159) @ (binunion @ X3156 @ X3157))|~(in @ X3159 @ X3155)|~(in @ X3158 @ X3155)|~(breln1 @ X3155 @ X3157)|~(breln1 @ X3155 @ X3156))))&((~(breln1 @ X3161 @ X3162)|(~(breln1 @ X3161 @ X3163)|((binunion @ X3162 @ X3163)=(binunion @ X3163 @ X3162))))&((~(breln1 @ X3164 @ X3165)|((X3165)=(breln1invset @ X3164 @ (breln1invset @ X3164 @ X3165))))&((~(breln1 @ X3166 @ X3167)|(~(breln1 @ X3166 @ X3168)|((breln1invset @ X3166 @ (breln1compset @ X3166 @ X3167 @ X3168))=(breln1compset @ X3166 @ (breln1invset @ X3166 @ X3168) @ (breln1invset @ X3166 @ X3167)))))&((~(breln1 @ X3169 @ X3170)|(~(breln1 @ X3169 @ X3171)|(~(breln1 @ X3169 @ X3172)|((breln1compset @ X3169 @ (binunion @ X3170 @ X3171) @ X3172)=(binunion @ (breln1compset @ X3169 @ X3170 @ X3172) @ (breln1compset @ X3169 @ X3171 @ X3172))))))&((~(breln1 @ X3173 @ X3174)|(~(breln1 @ X3173 @ X3175)|(~(breln1 @ X3173 @ X3176)|((breln1compset @ X3173 @ (binunion @ X3174 @ X3175) @ X3176)=(binunion @ (breln1invset @ X3173 @ (breln1compset @ X3173 @ (breln1invset @ X3173 @ X3176) @ (breln1invset @ X3173 @ X3175))) @ (breln1invset @ X3173 @ (breln1compset @ X3173 @ (breln1invset @ X3173 @ X3176) @ (breln1invset @ X3173 @ X3174))))))))&(((((in @ (esk84_3 @ X3177 @ X3178 @ X3180) @ X3177)|~(in @ X3180 @ (esk83_2 @ X3177 @ X3178)))&(((X3180)=(X3178 @ (esk84_3 @ X3177 @ X3178 @ X3180)))|~(in @ X3180 @ (esk83_2 @ X3177 @ X3178))))&(~(in @ X3183 @ X3177)|((X3182)!=(X3178 @ X3183))|(in @ X3182 @ (esk83_2 @ X3177 @ X3178))))&((exu @ (^[Z0/* 6 */:$i]:(![X1678:$i]:(((in @ X1678 @ Z0)<=>?[X1679:$i]:(((in @ X1679 @ X3184)&((X1678)=(X3185 @ X1679)))))))))&(((((in @ (esk85_3 @ X3186 @ X3187 @ X3188) @ X3186)|~(in @ X3188 @ (image1 @ X3186 @ X3187)))&(((X3188)=(X3187 @ (esk85_3 @ X3186 @ X3187 @ X3188)))|~(in @ X3188 @ (image1 @ X3186 @ X3187))))&(~(in @ X3193 @ X3190)|((X3192)!=(X3191 @ X3193))|(in @ X3192 @ (image1 @ X3190 @ X3191))))&((((in @ (esk86_3 @ X3194 @ X3195 @ X3196) @ X3194)|~(in @ X3196 @ (image1 @ X3194 @ X3195)))&(((X3196)=(X3195 @ (esk86_3 @ X3194 @ X3195 @ X3196)))|~(in @ X3196 @ (image1 @ X3194 @ X3195))))&((~(in @ X3201 @ X3198)|((X3200)!=(X3199 @ X3201))|(in @ X3200 @ (image1 @ X3198 @ X3199)))&((~(in @ X3204 @ (funcSet @ X3202 @ X3203))|(~(injective @ X3202 @ X3203 @ X3204)|(in @ X3204 @ (injFuncSet @ X3202 @ X3203))))&((~(in @ X3207 @ (injFuncSet @ X3205 @ X3206))|(in @ X3207 @ (funcSet @ X3205 @ X3206)))&((~(in @ X3210 @ (injFuncSet @ X3208 @ X3209))|(injective @ X3208 @ X3209 @ X3210))&((~(in @ X3213 @ (surjFuncSet @ X3211 @ X3212))|(in @ X3213 @ (funcSet @ X3211 @ X3212)))&((~(in @ X3216 @ (surjFuncSet @ X3214 @ X3215))|(surjective @ X3214 @ X3215 @ X3216))&(((((in @ (esk88_4 @ X3217 @ X3218 @ X3219 @ X3221) @ X3217)|(surjective @ X3218 @ X3217 @ X3221)|~(in @ X3221 @ (funcSet @ X3218 @ X3217))|(in @ (esk87_3 @ X3217 @ X3218 @ X3219) @ X3217))&(((ap @ X3218 @ X3217 @ X3221 @ (X3219 @ (esk88_4 @ X3217 @ X3218 @ X3219 @ X3221)))!=(esk88_4 @ X3217 @ X3218 @ X3219 @ X3221))|(surjective @ X3218 @ X3217 @ X3221)|~(in @ X3221 @ (funcSet @ X3218 @ X3217))|(in @ (esk87_3 @ X3217 @ X3218 @ X3219) @ X3217)))&(((in @ (esk88_4 @ X3217 @ X3218 @ X3219 @ X3221) @ X3217)|(surjective @ X3218 @ X3217 @ X3221)|~(in @ X3221 @ (funcSet @ X3218 @ X3217))|~(in @ (X3219 @ (esk87_3 @ X3217 @ X3218 @ X3219)) @ X3218))&(((ap @ X3218 @ X3217 @ X3221 @ (X3219 @ (esk88_4 @ X3217 @ X3218 @ X3219 @ X3221)))!=(esk88_4 @ X3217 @ X3218 @ X3219 @ X3221))|(surjective @ X3218 @ X3217 @ X3221)|~(in @ X3221 @ (funcSet @ X3218 @ X3217))|~(in @ (X3219 @ (esk87_3 @ X3217 @ X3218 @ X3219)) @ X3218))))&((~(in @ X3224 @ (funcSet @ X3223 @ (powerset @ X3223)))|~(surjective @ X3223 @ (powerset @ X3223) @ X3224))&((((in @ (esk89_1 @ X3225) @ X3225)|~(nonempty @ X3225))&(((binintersect @ (esk89_1 @ X3225) @ X3225)=(emptyset))|~(nonempty @ X3225)))&(in @ esk90_0 @ esk90_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_378])])])])])])).
169.42/22.03	thf(c_0_380, negated_conjecture, ![X2:$i, X3:$i]:(((nonempty @ X3)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_379])).
169.42/22.03	thf(c_0_381, negated_conjecture, ![X2:$i]:(((in @ (esk13_1 @ X2) @ X2)|((X2)=(emptyset)))), inference(split_conjunct,[status(thm)],[c_0_379])).
169.42/22.03	thf(c_0_382, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_379])).
169.42/22.03	thf(c_0_383, negated_conjecture, ![X2:$i]:((((binintersect @ (esk89_1 @ X2) @ X2)=(emptyset))|~((nonempty @ X2)))), inference(split_conjunct,[status(thm)],[c_0_379])).
169.42/22.03	thf(c_0_384, negated_conjecture, ![X2:$i, X3:$i]:((((binintersect @ X3 @ X2)=(X2))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_379])).
169.42/22.03	thf(c_0_385, negated_conjecture, ![X2:$i]:((((X2)=(emptyset))|(nonempty @ X2))), inference(spm,[status(thm)],[c_0_380, c_0_381])).
169.42/22.03	thf(c_0_386, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((in @ X3 @ (setadjoin @ X2 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_379])).
169.42/22.03	thf(c_0_387, negated_conjecture, ![X2:$i]:(((in @ (esk89_1 @ X2) @ X2)|~((nonempty @ X2)))), inference(split_conjunct,[status(thm)],[c_0_379])).
169.42/22.03	thf(c_0_388, negated_conjecture, ![X2:$i, X3:$i]:((nonempty @ (setadjoin @ X2 @ X3))), inference(spm,[status(thm)],[c_0_380, c_0_382])).
169.42/22.03	thf(c_0_389, plain, ![X3253:$i, X2:$i, X4:$i]:(((epred4_2 @ X4 @ X2 @ X3253)<=>((~($true)&((X3253)=(X2)))|(~(~($true))&((X3253)=(X4)))))), introduced(definition)).
169.42/22.03	thf(c_0_390, plain, ![X3275:$i, X3276:$i, X3277:$i]:(((~(epred4_2 @ X3277 @ X3276 @ X3275)|((X3275)=(X3277)))&(((X3275)!=(X3277))|(epred4_2 @ X3277 @ X3276 @ X3275)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])).
169.42/22.03	thf(c_0_391, negated_conjecture, ![X2:$i]:((((X2)=(emptyset))|~((subset @ X2 @ (esk89_1 @ X2))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383, c_0_384]), c_0_385])).
169.42/22.03	thf(c_0_392, negated_conjecture, ![X2:$i]:(((esk89_1 @ (setadjoin @ X2 @ emptyset))=(X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386, c_0_387]), c_0_388])])).
169.42/22.03	thf(c_0_393, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:((~((in @ X2 @ X3))|~((X1 @ X2))|((dsetconstr @ X3 @ X1)!=(emptyset)))), inference(split_conjunct,[status(thm)],[c_0_379])).
169.42/22.03	thf(c_0_394, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:((((dsetconstr @ X3 @ (epred4_2 @ X4 @ X2))=(setadjoin @ X4 @ emptyset))|~((in @ X2 @ X3))|~((in @ X4 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_379])])]), c_0_389])).
169.42/22.03	thf(c_0_395, plain, ![X2:$i, X4:$i, X3:$i]:(((epred4_2 @ X3 @ X4 @ X2)|((X2)!=(X3)))), inference(split_conjunct,[status(thm)],[c_0_390])).
169.42/22.03	thf(c_0_396, negated_conjecture, ![X2:$i]:((((setadjoin @ X2 @ emptyset)=(emptyset))|~((subset @ (setadjoin @ X2 @ emptyset) @ X2)))), inference(spm,[status(thm)],[c_0_391, c_0_392])).
169.42/22.03	thf(c_0_397, negated_conjecture, ![X5:$i, X4:$i, X3:$i, X2:$i]:((((setadjoin @ X3 @ emptyset)!=(emptyset))|~((in @ X5 @ X2))|~((epred4_2 @ X3 @ X4 @ X5))|~((in @ X3 @ X2))|~((in @ X4 @ X2)))), inference(spm,[status(thm)],[c_0_393, c_0_394])).
169.42/22.03	thf(c_0_398, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ (setadjoin @ X2 @ emptyset) @ X3)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_379])).
169.42/22.03	thf(c_0_399, plain, ![X3:$i, X2:$i]:((epred4_2 @ X2 @ X3 @ X2)), inference(er,[status(thm)],[c_0_395])).
169.42/22.03	thf(c_0_400, negated_conjecture, (in @ esk90_0 @ esk90_0), inference(split_conjunct,[status(thm)],[c_0_379])).
169.42/22.03	thf(c_0_401, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_396, c_0_397, c_0_398, c_0_399, c_0_400]), ['proof']).
169.42/22.03	# SZS output end CNFRefutation
169.42/22.03	# Parsed axioms                        : 700
169.42/22.03	# Removed by relevancy pruning/SinE    : 379
169.42/22.03	# Initial clauses                      : 525
169.42/22.03	# Removed in clause preprocessing      : 36
169.42/22.03	# Initial clauses in saturation        : 489
169.42/22.03	# Processed clauses                    : 11237
169.42/22.03	# ...of these trivial                  : 61
169.42/22.03	# ...subsumed                          : 6176
169.42/22.03	# ...remaining for further processing  : 5000
169.42/22.03	# Other redundant clauses eliminated   : 395
169.42/22.03	# Clauses deleted for lack of memory   : 0
169.42/22.03	# Backward-subsumed                    : 780
169.42/22.03	# Backward-rewritten                   : 51
169.42/22.03	# Generated clauses                    : 774054
169.42/22.03	# ...of the previous two non-redundant : 769167
169.42/22.03	# ...aggressively subsumed             : 0
169.42/22.03	# Contextual simplify-reflections      : 93
169.42/22.03	# Paramodulations                      : 773465
169.42/22.03	# Factorizations                       : 130
169.42/22.03	# NegExts                              : 18
169.42/22.03	# Equation resolutions                 : 413
169.42/22.03	# Total rewrite steps                  : 17429
169.42/22.03	# Propositional unsat checks           : 1
169.42/22.03	#    Propositional check models        : 0
169.42/22.03	#    Propositional check unsatisfiable : 1
169.42/22.03	#    Propositional clauses             : 759482
169.42/22.03	#    Propositional clauses after purity: 22525
169.42/22.03	#    Propositional unsat core size     : 5
169.42/22.03	#    Propositional preprocessing time  : 0.000
169.42/22.03	#    Propositional encoding time       : 2.820
169.42/22.03	#    Propositional solver time         : 0.090
169.42/22.03	#    Success case prop preproc time    : 0.000
169.42/22.03	#    Success case prop encoding time   : 2.820
169.42/22.03	#    Success case prop solver time     : 0.090
169.42/22.03	# Current number of processed clauses  : 3721
169.42/22.03	#    Positive orientable unit clauses  : 111
169.42/22.03	#    Positive unorientable unit clauses: 0
169.42/22.03	#    Negative unit clauses             : 245
169.42/22.03	#    Non-unit-clauses                  : 3365
169.42/22.03	# Current number of unprocessed clauses: 755761
169.42/22.03	# ...number of literals in the above   : 3276253
169.42/22.03	# Current number of archived formulas  : 0
169.42/22.03	# Current number of archived clauses   : 1259
169.42/22.03	# Clause-clause subsumption calls (NU) : 1849946
169.42/22.03	# Rec. Clause-clause subsumption calls : 1086297
169.42/22.03	# Non-unit clause-clause subsumptions  : 4278
169.42/22.03	# Unit Clause-clause subsumption calls : 55467
169.42/22.03	# Rewrite failures with RHS unbound    : 0
169.42/22.03	# BW rewrite match attempts            : 90
169.42/22.03	# BW rewrite match successes           : 21
169.42/22.03	# Condensation attempts                : 0
169.42/22.03	# Condensation successes               : 0
169.42/22.03	# Termbank termtop insertions          : 36795483
169.42/22.03	
169.42/22.03	# -------------------------------------------------
169.42/22.03	# User time                : 20.474 s
169.42/22.03	# System time              : 0.644 s
169.42/22.03	# Total time               : 21.118 s
169.42/22.03	# Maximum resident set size: 10172 pages
171.84/22.42	
171.84/22.42	# -------------------------------------------------
171.84/22.42	# User time                : 20.485 s
171.84/22.42	# System time              : 0.649 s
171.84/22.42	# Total time               : 21.133 s
171.84/22.42	# Maximum resident set size: 2884 pages
171.84/22.42	% E---3.1 exiting
171.84/22.42	EOF