0.11/0.15	% Problem    : Vampire---4.8_29350 : TPTP v0.0.0. Released v0.0.0.
0.11/0.16	% Command    : run_E %s %d THM
0.15/0.37	% Computer : n010.cluster.edu
0.15/0.37	% Model    : x86_64 x86_64
0.15/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.37	% Memory   : 8042.1875MB
0.15/0.37	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.37	% CPULimit   : 1440
0.15/0.37	% WCLimit    : 180
0.15/0.37	% DateTime   : Mon Jul  3 12:59:09 EDT 2023
0.15/0.37	% CPUTime    : 
0.22/0.54	Running higher-order theorem provingRunning: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350
0.22/0.54	# Version: 3.1pre001-ho
0.59/0.63	# Preprocessing class: HSLMSLSSLLLCHFA.
0.59/0.63	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.59/0.63	# Starting ehoh_best5 with 180s (1) cores
0.59/0.63	# Starting almost_fo_3_lam with 180s (1) cores
0.59/0.63	# Starting new_bool_5 with 180s (1) cores
0.59/0.63	# Starting pre_casc_3 with 180s (1) cores
0.59/0.63	# Starting ho_unfolding_8 with 180s (1) cores
0.59/0.63	# Starting new_ho_10_cnf2 with 180s (1) cores
0.59/0.63	# Starting new_bool_3 with 180s (1) cores
0.59/0.63	# Starting new_ho_5 with 180s (1) cores
0.59/0.63	# new_bool_5 with pid 29683 completed with status 0
0.59/0.63	# Result found by new_bool_5
0.59/0.63	# Preprocessing class: HSLMSLSSLLLCHFA.
0.59/0.63	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.59/0.63	# Starting ehoh_best5 with 180s (1) cores
0.59/0.63	# Starting almost_fo_3_lam with 180s (1) cores
0.59/0.63	# Starting new_bool_5 with 180s (1) cores
0.59/0.63	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.59/0.63	# Search class: HGHSM-FSLM31-MHFMMSBN
0.59/0.63	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.59/0.63	# Starting new_ho_10_cnf2 with 98s (1) cores
0.59/0.63	# new_ho_10_cnf2 with pid 29693 completed with status 0
0.59/0.63	# Result found by new_ho_10_cnf2
0.59/0.63	# Preprocessing class: HSLMSLSSLLLCHFA.
0.59/0.63	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.59/0.63	# Starting ehoh_best5 with 180s (1) cores
0.59/0.63	# Starting almost_fo_3_lam with 180s (1) cores
0.59/0.63	# Starting new_bool_5 with 180s (1) cores
0.59/0.63	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.59/0.63	# Search class: HGHSM-FSLM31-MHFMMSBN
0.59/0.63	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.59/0.63	# Starting new_ho_10_cnf2 with 98s (1) cores
0.59/0.63	# Preprocessing time       : 0.006 s
0.59/0.63	# Presaturation interreduction done
0.59/0.63	
0.59/0.63	# Proof found!
0.59/0.63	# SZS status Theorem
0.59/0.63	# SZS output start CNFRefutation
0.59/0.63	thf(decl_22, type, in: $i > $i > $o).
0.59/0.63	thf(decl_23, type, exu: ($i > $o) > $o).
0.59/0.63	thf(decl_24, type, setextAx: $o).
0.59/0.63	thf(decl_25, type, emptyset: $i).
0.59/0.63	thf(decl_26, type, emptysetAx: $o).
0.59/0.63	thf(decl_27, type, setadjoin: $i > $i > $i).
0.59/0.63	thf(decl_28, type, setadjoinAx: $o).
0.59/0.63	thf(decl_29, type, powerset: $i > $i).
0.59/0.63	thf(decl_30, type, powersetAx: $o).
0.59/0.63	thf(decl_31, type, setunion: $i > $i).
0.59/0.63	thf(decl_32, type, setunionAx: $o).
0.59/0.63	thf(decl_33, type, omega: $i).
0.59/0.63	thf(decl_34, type, omega0Ax: $o).
0.59/0.63	thf(decl_35, type, omegaSAx: $o).
0.59/0.63	thf(decl_36, type, omegaIndAx: $o).
0.59/0.63	thf(decl_37, type, replAx: $o).
0.59/0.63	thf(decl_38, type, foundationAx: $o).
0.59/0.63	thf(decl_39, type, wellorderingAx: $o).
0.59/0.63	thf(decl_40, type, descr: ($i > $o) > $i).
0.59/0.63	thf(decl_41, type, descrp: $o).
0.59/0.63	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_43, type, dsetconstrI: $o).
0.59/0.63	thf(decl_44, type, dsetconstrEL: $o).
0.59/0.63	thf(decl_45, type, dsetconstrER: $o).
0.59/0.63	thf(decl_46, type, exuE1: $o).
0.59/0.63	thf(decl_47, type, prop2set: $o > $i).
0.59/0.63	thf(decl_48, type, prop2setE: $o).
0.59/0.63	thf(decl_49, type, emptysetE: $o).
0.59/0.63	thf(decl_50, type, emptysetimpfalse: $o).
0.59/0.63	thf(decl_51, type, notinemptyset: $o).
0.59/0.63	thf(decl_52, type, exuE3e: $o).
0.59/0.63	thf(decl_53, type, setext: $o).
0.59/0.63	thf(decl_54, type, emptyI: $o).
0.59/0.63	thf(decl_55, type, noeltsimpempty: $o).
0.59/0.63	thf(decl_56, type, setbeta: $o).
0.59/0.63	thf(decl_57, type, nonempty: $i > $o).
0.59/0.63	thf(decl_58, type, nonemptyE1: $o).
0.59/0.63	thf(decl_59, type, nonemptyI: $o).
0.59/0.63	thf(decl_60, type, nonemptyI1: $o).
0.59/0.63	thf(decl_61, type, setadjoinIL: $o).
0.59/0.63	thf(decl_62, type, emptyinunitempty: $o).
0.59/0.63	thf(decl_63, type, setadjoinIR: $o).
0.59/0.63	thf(decl_64, type, setadjoinE: $o).
0.59/0.63	thf(decl_65, type, setadjoinOr: $o).
0.59/0.63	thf(decl_66, type, setoftrueEq: $o).
0.59/0.63	thf(decl_67, type, powersetI: $o).
0.59/0.63	thf(decl_68, type, emptyinPowerset: $o).
0.59/0.63	thf(decl_69, type, emptyInPowerset: $o).
0.59/0.63	thf(decl_70, type, powersetE: $o).
0.59/0.63	thf(decl_71, type, setunionI: $o).
0.59/0.63	thf(decl_72, type, setunionE: $o).
0.59/0.63	thf(decl_73, type, subPowSU: $o).
0.59/0.63	thf(decl_74, type, exuE2: $o).
0.59/0.63	thf(decl_75, type, nonemptyImpWitness: $o).
0.59/0.63	thf(decl_76, type, uniqinunit: $o).
0.59/0.63	thf(decl_77, type, notinsingleton: $o).
0.59/0.63	thf(decl_78, type, eqinunit: $o).
0.59/0.63	thf(decl_79, type, singletonsswitch: $o).
0.59/0.63	thf(decl_80, type, upairsetE: $o).
0.59/0.63	thf(decl_81, type, upairsetIL: $o).
0.59/0.63	thf(decl_82, type, upairsetIR: $o).
0.59/0.63	thf(decl_83, type, emptyE1: $o).
0.59/0.63	thf(decl_84, type, vacuousDall: $o).
0.59/0.63	thf(decl_85, type, quantDeMorgan1: $o).
0.59/0.63	thf(decl_86, type, quantDeMorgan2: $o).
0.59/0.63	thf(decl_87, type, quantDeMorgan3: $o).
0.59/0.63	thf(decl_88, type, quantDeMorgan4: $o).
0.59/0.63	thf(decl_89, type, prop2setI: $o).
0.59/0.63	thf(decl_91, type, prop2set2propI: $o).
0.59/0.63	thf(decl_92, type, notdexE: $o).
0.59/0.63	thf(decl_93, type, notdallE: $o).
0.59/0.63	thf(decl_94, type, exuI1: $o).
0.59/0.63	thf(decl_95, type, exuI3: $o).
0.59/0.63	thf(decl_96, type, exuI2: $o).
0.59/0.63	thf(decl_97, type, inCongP: $o).
0.59/0.63	thf(decl_98, type, in__Cong: $o).
0.59/0.63	thf(decl_99, type, exuE3u: $o).
0.59/0.63	thf(decl_100, type, exu__Cong: $o).
0.59/0.63	thf(decl_101, type, emptyset__Cong: $o).
0.59/0.63	thf(decl_102, type, setadjoin__Cong: $o).
0.59/0.63	thf(decl_103, type, powerset__Cong: $o).
0.59/0.63	thf(decl_104, type, setunion__Cong: $o).
0.59/0.63	thf(decl_105, type, omega__Cong: $o).
0.59/0.63	thf(decl_106, type, exuEu: $o).
0.59/0.63	thf(decl_107, type, descr__Cong: $o).
0.59/0.63	thf(decl_108, type, dsetconstr__Cong: $o).
0.59/0.63	thf(decl_109, type, subset: $i > $i > $o).
0.59/0.63	thf(decl_112, type, subsetI1: $o).
0.59/0.63	thf(decl_113, type, eqimpsubset2: $o).
0.59/0.63	thf(decl_114, type, eqimpsubset1: $o).
0.59/0.63	thf(decl_115, type, subsetI2: $o).
0.59/0.63	thf(decl_116, type, emptysetsubset: $o).
0.59/0.63	thf(decl_117, type, subsetE: $o).
0.59/0.63	thf(decl_118, type, subsetE2: $o).
0.59/0.63	thf(decl_119, type, notsubsetI: $o).
0.59/0.63	thf(decl_120, type, notequalI1: $o).
0.59/0.63	thf(decl_121, type, notequalI2: $o).
0.59/0.63	thf(decl_122, type, subsetRefl: $o).
0.59/0.63	thf(decl_123, type, subsetTrans: $o).
0.59/0.63	thf(decl_124, type, setadjoinSub: $o).
0.59/0.63	thf(decl_125, type, setadjoinSub2: $o).
0.59/0.63	thf(decl_126, type, subset2powerset: $o).
0.59/0.63	thf(decl_127, type, setextsub: $o).
0.59/0.63	thf(decl_128, type, subsetemptysetimpeq: $o).
0.59/0.63	thf(decl_129, type, powersetI1: $o).
0.59/0.63	thf(decl_130, type, powersetE1: $o).
0.59/0.63	thf(decl_131, type, inPowerset: $o).
0.59/0.63	thf(decl_132, type, powersetsubset: $o).
0.59/0.63	thf(decl_133, type, sepInPowerset: $o).
0.59/0.63	thf(decl_134, type, sepSubset: $o).
0.59/0.63	thf(decl_135, type, binunion: $i > $i > $i).
0.59/0.63	thf(decl_136, type, binunionIL: $o).
0.59/0.63	thf(decl_137, type, upairset2IR: $o).
0.59/0.63	thf(decl_138, type, binunionIR: $o).
0.59/0.63	thf(decl_139, type, binunionEcases: $o).
0.59/0.63	thf(decl_140, type, binunionE: $o).
0.59/0.63	thf(decl_141, type, binunionLsub: $o).
0.59/0.63	thf(decl_142, type, binunionRsub: $o).
0.59/0.63	thf(decl_143, type, binintersect: $i > $i > $i).
0.59/0.63	thf(decl_144, type, binintersectI: $o).
0.59/0.63	thf(decl_145, type, binintersectSubset5: $o).
0.59/0.63	thf(decl_146, type, binintersectEL: $o).
0.59/0.63	thf(decl_147, type, binintersectLsub: $o).
0.59/0.63	thf(decl_148, type, binintersectSubset2: $o).
0.59/0.63	thf(decl_149, type, binintersectSubset3: $o).
0.59/0.63	thf(decl_150, type, binintersectER: $o).
0.59/0.63	thf(decl_151, type, disjointsetsI1: $o).
0.59/0.63	thf(decl_152, type, binintersectRsub: $o).
0.59/0.63	thf(decl_153, type, binintersectSubset4: $o).
0.59/0.63	thf(decl_154, type, binintersectSubset1: $o).
0.59/0.63	thf(decl_155, type, bs114d: $o).
0.59/0.63	thf(decl_157, type, setminus: $i > $i > $i).
0.59/0.63	thf(decl_158, type, setminusI: $o).
0.59/0.63	thf(decl_159, type, setminusEL: $o).
0.59/0.63	thf(decl_160, type, setminusER: $o).
0.59/0.63	thf(decl_161, type, setminusSubset2: $o).
0.59/0.63	thf(decl_162, type, setminusERneg: $o).
0.59/0.63	thf(decl_163, type, setminusELneg: $o).
0.59/0.63	thf(decl_164, type, setminusILneg: $o).
0.59/0.63	thf(decl_165, type, setminusIRneg: $o).
0.59/0.63	thf(decl_166, type, setminusLsub: $o).
0.59/0.63	thf(decl_167, type, setminusSubset1: $o).
0.59/0.63	thf(decl_168, type, symdiff: $i > $i > $i).
0.59/0.63	thf(decl_169, type, symdiffE: $o).
0.59/0.63	thf(decl_170, type, symdiffI1: $o).
0.59/0.63	thf(decl_171, type, symdiffI2: $o).
0.59/0.63	thf(decl_172, type, symdiffIneg1: $o).
0.59/0.63	thf(decl_173, type, symdiffIneg2: $o).
0.59/0.63	thf(decl_174, type, iskpair: $i > $o).
0.59/0.63	thf(decl_175, type, secondinupair: $o).
0.59/0.63	thf(decl_176, type, setukpairIL: $o).
0.59/0.63	thf(decl_177, type, setukpairIR: $o).
0.59/0.63	thf(decl_178, type, kpairiskpair: $o).
0.59/0.63	thf(decl_179, type, kpair: $i > $i > $i).
0.59/0.63	thf(decl_180, type, kpairp: $o).
0.59/0.63	thf(decl_181, type, cartprod: $i > $i > $i).
0.59/0.63	thf(decl_182, type, singletonsubset: $o).
0.59/0.63	thf(decl_183, type, singletoninpowerset: $o).
0.59/0.63	thf(decl_184, type, singletoninpowunion: $o).
0.59/0.63	thf(decl_185, type, upairset2E: $o).
0.59/0.63	thf(decl_186, type, upairsubunion: $o).
0.59/0.63	thf(decl_187, type, upairinpowunion: $o).
0.59/0.63	thf(decl_188, type, ubforcartprodlem1: $o).
0.59/0.63	thf(decl_189, type, ubforcartprodlem2: $o).
0.59/0.63	thf(decl_190, type, ubforcartprodlem3: $o).
0.59/0.63	thf(decl_191, type, cartprodpairin: $o).
0.59/0.63	thf(decl_192, type, cartprodmempair1: $o).
0.59/0.63	thf(decl_193, type, cartprodmempair: $o).
0.59/0.63	thf(decl_194, type, setunionE2: $o).
0.59/0.63	thf(decl_195, type, setunionsingleton1: $o).
0.59/0.63	thf(decl_196, type, setunionsingleton2: $o).
0.59/0.63	thf(decl_197, type, setunionsingleton: $o).
0.59/0.63	thf(decl_198, type, singleton: $i > $o).
0.59/0.63	thf(decl_199, type, singletonprop: $o).
0.59/0.63	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
0.59/0.63	thf(decl_201, type, ex1E1: $o).
0.59/0.63	thf(decl_202, type, ex1I: $o).
0.59/0.63	thf(decl_203, type, ex1I2: $o).
0.59/0.63	thf(decl_204, type, singletonsuniq: $o).
0.59/0.63	thf(decl_209, type, setukpairinjL1: $o).
0.59/0.63	thf(decl_210, type, kfstsingleton: $o).
0.59/0.63	thf(decl_211, type, theprop: $o).
0.59/0.63	thf(decl_212, type, kfst: $i > $i).
0.59/0.63	thf(decl_213, type, kfstpairEq: $o).
0.59/0.63	thf(decl_214, type, cartprodfstin: $o).
0.59/0.63	thf(decl_215, type, setukpairinjL2: $o).
0.59/0.63	thf(decl_216, type, setukpairinjL: $o).
0.59/0.63	thf(decl_217, type, setukpairinjR11: $o).
0.59/0.63	thf(decl_218, type, setukpairinjR12: $o).
0.59/0.63	thf(decl_219, type, setukpairinjR1: $o).
0.59/0.63	thf(decl_220, type, upairequniteq: $o).
0.59/0.63	thf(decl_221, type, setukpairinjR2: $o).
0.59/0.63	thf(decl_222, type, setukpairinjR: $o).
0.59/0.63	thf(decl_223, type, ksndsingleton: $o).
0.59/0.63	thf(decl_224, type, ksnd: $i > $i).
0.59/0.63	thf(decl_225, type, ksndpairEq: $o).
0.59/0.63	thf(decl_226, type, kpairsurjEq: $o).
0.59/0.63	thf(decl_227, type, cartprodsndin: $o).
0.59/0.63	thf(decl_228, type, epred1_0: $o).
0.59/0.63	thf(decl_229, type, esk1_2: $i > $i > $i).
0.59/0.63	thf(decl_230, type, esk2_2: $i > $i > $i).
0.59/0.63	thf(decl_231, type, esk3_2: $i > $i > $i).
0.59/0.63	thf(decl_232, type, esk4_1: $i > $i).
0.59/0.63	thf(decl_233, type, esk5_2: ($i > $i > $o) > $i > $i).
0.59/0.63	thf(decl_234, type, esk6_2: ($i > $i > $o) > $i > $i).
0.59/0.63	thf(decl_235, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
0.59/0.63	thf(decl_236, type, esk8_1: $i > $i).
0.59/0.63	thf(decl_237, type, esk9_1: ($i > $o) > $i).
0.59/0.63	thf(decl_238, type, esk10_1: ($i > $o) > $i).
0.59/0.63	thf(decl_239, type, esk11_2: $i > $i > $i).
0.59/0.63	thf(decl_240, type, esk12_2: $i > $i > $i).
0.59/0.63	thf(decl_241, type, esk13_1: $i > $i).
0.59/0.63	thf(decl_242, type, esk14_1: $i > $i).
0.59/0.63	thf(decl_243, type, esk15_1: $i > $i).
0.59/0.63	thf(decl_244, type, esk16_2: $i > $i > $i).
0.59/0.63	thf(decl_245, type, esk17_3: $i > $i > $o > $i).
0.59/0.63	thf(decl_246, type, esk18_1: ($i > $o) > $i).
0.59/0.63	thf(decl_247, type, esk19_1: $i > $i).
0.59/0.63	thf(decl_248, type, esk20_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_249, type, esk21_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_250, type, esk22_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_251, type, esk23_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_252, type, esk24_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_253, type, esk25_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_254, type, esk26_2: ($i > $o) > $i > $i).
0.59/0.63	thf(decl_255, type, esk27_1: ($i > $o) > $i).
0.59/0.63	thf(decl_256, type, esk28_1: ($i > $o) > $i).
0.59/0.63	thf(decl_257, type, esk29_2: ($i > $o) > $i > $i).
0.59/0.63	thf(decl_258, type, esk30_2: ($i > $o) > ($i > $o) > $i).
0.59/0.63	thf(decl_259, type, esk31_2: ($i > $o) > ($i > $o) > $i).
0.59/0.63	thf(decl_260, type, esk32_2: ($i > $o) > ($i > $o) > $i).
0.59/0.63	thf(decl_261, type, esk33_2: ($i > $o) > ($i > $o) > $i).
0.59/0.63	thf(decl_262, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.59/0.63	thf(decl_263, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.59/0.63	thf(decl_264, type, esk36_2: $i > $i > $i).
0.59/0.63	thf(decl_265, type, esk37_2: $i > $i > $i).
0.59/0.63	thf(decl_266, type, esk38_2: $i > $i > $i).
0.59/0.63	thf(decl_267, type, esk39_3: $i > $i > $i > $i).
0.59/0.63	thf(decl_268, type, esk40_3: $i > $i > $i > $i).
0.59/0.63	thf(decl_269, type, esk41_2: $i > $i > $i).
0.59/0.63	thf(decl_270, type, esk42_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_271, type, esk43_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_272, type, esk44_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_273, type, esk45_3: $i > ($i > $o) > $i > $i).
0.59/0.63	thf(decl_274, type, esk46_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_275, type, esk47_2: $i > ($i > $o) > $i).
0.59/0.63	thf(decl_276, type, esk48_0: $i).
0.59/0.63	thf(decl_277, type, esk49_0: $i).
0.59/0.63	thf(decl_278, type, esk50_0: $i).
0.59/0.63	thf(decl_279, type, esk51_0: $i).
0.59/0.63	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', descr__Cong)).
0.59/0.63	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', exuEu)).
0.59/0.63	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', exu__Cong)).
0.59/0.63	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', exuE3u)).
0.59/0.63	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', dsetconstr__Cong)).
0.59/0.63	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', emptyE1)).
0.59/0.63	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', exuE2)).
0.59/0.63	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', exuE1)).
0.59/0.63	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', dsetconstrER)).
0.59/0.63	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', ex1E1)).
0.59/0.63	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', singletonprop)).
0.59/0.63	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', ksndsingleton)).
0.59/0.63	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', kfstsingleton)).
0.59/0.63	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', ex1I2)).
0.59/0.63	thf(ex1I, axiom, ((ex1I)<=>![X4:$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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', ex1I)).
0.59/0.63	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', sepSubset)).
0.59/0.63	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', sepInPowerset)).
0.59/0.63	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', exuI2)).
0.59/0.63	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', exuI3)).
0.59/0.63	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', exuI1)).
0.59/0.63	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setoftrueEq)).
0.59/0.63	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', nonemptyI)).
0.59/0.63	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setbeta)).
0.59/0.63	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', exuE3e)).
0.59/0.63	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', dsetconstrEL)).
0.59/0.63	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', dsetconstrI)).
0.59/0.63	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', descrp)).
0.59/0.63	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', replAx)).
0.59/0.63	thf(cartprodpairmemEL, conjecture, ((setextAx)=>((((powersetAx)=>((setunionAx)=>(((((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((((((((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>(((nonemptyI)=>((nonemptyI1)=>((((setadjoinIR)=>((((setoftrueEq)=>(((emptyinPowerset)=>(((((((((((eqinunit)=>((singletonsswitch)=>((((upairsetIR)=>(((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>(((quantDeMorgan4)=>((prop2setI)=>(((notdexE)=>(((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((((((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>(((dsetconstr__Cong)=>((subsetI1)=>(((eqimpsubset1)=>((subsetI2)=>(((subsetE)=>(((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>(((setadjoinSub2)=>((subset2powerset)=>(((subsetemptysetimpeq)=>((powersetI1)=>((((powersetsubset)=>((((((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((((binintersectSubset3)=>((binintersectER)=>(((binintersectRsub)=>((binintersectSubset4)=>(((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>(((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>(((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>(((((symdiffIneg2)=>((secondinupair)=>(((setukpairIR)=>((kpairiskpair)=>((((((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>(((setunionsingleton)=>((singletonprop)=>((ex1E1)=>(((((setukpairinjL1)=>((((kfstpairEq)=>((cartprodfstin)=>(((setukpairinjL)=>((((setukpairinjR1)=>((((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>(![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))<=(cartprodsndin))))))<=(setukpairinjR2))<=(upairequniteq)))<=(setukpairinjR12))<=(setukpairinjR11)))<=(setukpairinjL2))))<=(theprop))<=(kfstsingleton)))<=(singletonsuniq))<=(ex1I2))<=(ex1I)))))<=(setunionsingleton2)))))<=(cartprodmempair1))<=(cartprodpairin))))))))<=(singletoninpowunion))<=(singletoninpowerset))<=(singletonsubset))<=(kpairp))))<=(setukpairIL))))<=(symdiffIneg1))<=(symdiffI2))<=(symdiffI1)))))<=(setminusIRneg)))))<=(setminusSubset2))))))<=(binintersectSubset1))))<=(disjointsetsI1))))<=(binintersectSubset2))<=(binintersectLsub))))))))))<=(upairset2IR))<=(binunionIL))<=(sepSubset))<=(sepInPowerset)))<=(inPowerset))<=(powersetE1))))<=(setextsub))))<=(setadjoinSub)))))))<=(subsetE2)))<=(emptysetsubset))))<=(eqimpsubset2))))<=(descr__Cong)))))))<=(emptyset__Cong))<=(exu__Cong))<=(exuE3u))<=(in__Cong))))))<=(notdallE)))<=(prop2set2propI))))<=(quantDeMorgan3)))))<=(emptyE1)))<=(upairsetIL))<=(upairsetE))))<=(notinsingleton))<=(uniqinunit))<=(nonemptyImpWitness))<=(exuE2))<=(subPowSU))<=(setunionE))<=(setunionI))<=(powersetE))<=(emptyInPowerset)))<=(powersetI)))<=(setadjoinOr))<=(setadjoinE)))<=(emptyinunitempty))<=(setadjoinIL))))<=(nonemptyE1)))))))<=(notinemptyset))<=(emptysetimpfalse))<=(emptysetE))<=(prop2setE))<=(exuE1))<=(dsetconstrER))))))))<=(omegaIndAx))<=(omegaSAx))<=(omega0Ax))))<=(setadjoinAx))<=(emptysetAx))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', cartprodpairmemEL)).
0.59/0.63	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', powersetI)).
0.59/0.63	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', emptysetAx)).
0.59/0.63	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', emptysetsubset)).
0.59/0.63	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', eqimpsubset2)).
0.59/0.63	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', omega__Cong)).
0.59/0.63	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', emptyset__Cong)).
0.59/0.63	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', in__Cong)).
0.59/0.63	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', notdallE)).
0.59/0.63	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', quantDeMorgan3)).
0.59/0.63	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', subsetI1)).
0.59/0.63	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', upairsetIL)).
0.59/0.63	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', upairsetE)).
0.59/0.63	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', eqimpsubset1)).
0.59/0.63	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', notinsingleton)).
0.59/0.63	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', uniqinunit)).
0.59/0.63	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', subsetI2)).
0.59/0.63	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', nonemptyImpWitness)).
0.59/0.63	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', inCongP)).
0.59/0.63	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', subPowSU)).
0.59/0.63	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setunionE)).
0.59/0.63	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', subsetE)).
0.59/0.63	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setunionI)).
0.59/0.63	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', powersetE)).
0.59/0.63	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', notsubsetI)).
0.59/0.63	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', emptyInPowerset)).
0.59/0.63	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binintersectSubset5)).
0.59/0.63	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setadjoin__Cong)).
0.59/0.63	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setadjoinOr)).
0.59/0.63	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setadjoinE)).
0.59/0.63	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', emptyinunitempty)).
0.59/0.63	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', notequalI1)).
0.59/0.63	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setadjoinIL)).
0.59/0.63	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', nonemptyE1)).
0.59/0.63	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', notequalI2)).
0.59/0.63	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', notinemptyset)).
0.59/0.63	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', emptysetimpfalse)).
0.59/0.63	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', emptysetE)).
0.59/0.63	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', subsetRefl)).
0.59/0.63	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', prop2setE)).
0.59/0.63	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', subsetTrans)).
0.59/0.63	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', omegaIndAx)).
0.59/0.63	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', omegaSAx)).
0.59/0.63	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setadjoinSub2)).
0.59/0.63	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', omega0Ax)).
0.59/0.63	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setadjoinAx)).
0.59/0.63	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', subset2powerset)).
0.59/0.63	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', subsetemptysetimpeq)).
0.59/0.63	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', powersetI1)).
0.59/0.63	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', powerset__Cong)).
0.59/0.63	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', powersetsubset)).
0.59/0.63	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binunionIR)).
0.59/0.63	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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binunionEcases)).
0.59/0.63	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binunionE)).
0.59/0.63	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binunionLsub)).
0.59/0.63	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binunionRsub)).
0.59/0.63	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binintersectI)).
0.59/0.63	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setukpairinjL1)).
0.59/0.63	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binintersectEL)).
0.59/0.63	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binintersectSubset3)).
0.59/0.63	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binintersectER)).
0.59/0.63	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binintersectRsub)).
0.59/0.63	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binintersectSubset4)).
0.59/0.63	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', bs114d)).
0.59/0.63	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setminusI)).
0.59/0.63	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setminusEL)).
0.59/0.63	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setminusER)).
0.59/0.63	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setunion__Cong)).
0.59/0.63	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setminusERneg)).
0.59/0.63	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setminusELneg)).
0.59/0.63	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setminusILneg)).
0.59/0.63	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setminusLsub)).
0.59/0.63	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setminusSubset1)).
0.59/0.63	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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', symdiffE)).
0.59/0.63	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', symdiffIneg2)).
0.59/0.63	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', secondinupair)).
0.59/0.63	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setukpairIR)).
0.59/0.63	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', kpairiskpair)).
0.59/0.63	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', upairset2E)).
0.59/0.63	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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', upairsubunion)).
0.59/0.63	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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', upairinpowunion)).
0.59/0.63	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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', ubforcartprodlem1)).
0.59/0.63	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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', ubforcartprodlem2)).
0.59/0.63	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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', ubforcartprodlem3)).
0.59/0.63	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', cartprodmempair)).
0.59/0.63	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setunionE2)).
0.59/0.63	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setunionsingleton1)).
0.59/0.63	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setunionsingleton)).
0.59/0.63	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', kfstpairEq)).
0.59/0.63	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', cartprodfstin)).
0.59/0.63	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setukpairinjL)).
0.59/0.63	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setukpairinjR1)).
0.59/0.63	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setukpairinjR)).
0.59/0.63	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', ksndpairEq)).
0.59/0.63	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', kpairsurjEq)).
0.59/0.63	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', cartprodsndin)).
0.59/0.63	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setukpairinjR2)).
0.59/0.63	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', upairequniteq)).
0.59/0.63	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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setukpairinjR12)).
0.59/0.63	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setukpairinjR11)).
0.59/0.63	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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setukpairinjL2)).
0.59/0.63	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', theprop)).
0.59/0.63	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', singletonsuniq)).
0.59/0.63	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setunionsingleton2)).
0.59/0.63	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', cartprodmempair1)).
0.59/0.63	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', cartprodpairin)).
0.59/0.63	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', singletoninpowunion)).
0.59/0.63	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', singletoninpowerset)).
0.59/0.63	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', singletonsubset)).
0.59/0.63	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', kpairp)).
0.59/0.63	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/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setukpairIL)).
0.59/0.63	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', symdiffIneg1)).
0.59/0.63	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', symdiffI2)).
0.59/0.63	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', symdiffI1)).
0.59/0.63	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setminusIRneg)).
0.59/0.63	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setminusSubset2)).
0.59/0.63	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binintersectSubset1)).
0.59/0.63	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', disjointsetsI1)).
0.59/0.63	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binintersectSubset2)).
0.59/0.63	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binintersectLsub)).
0.59/0.63	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', upairset2IR)).
0.59/0.63	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', binunionIL)).
0.59/0.63	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', inPowerset)).
0.59/0.63	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', powersetE1)).
0.59/0.63	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setextsub)).
0.59/0.63	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setadjoinSub)).
0.59/0.63	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', subsetE2)).
0.59/0.63	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', notdexE)).
0.59/0.63	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', prop2setI)).
0.59/0.63	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', quantDeMorgan4)).
0.59/0.63	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', quantDeMorgan2)).
0.59/0.63	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', quantDeMorgan1)).
0.59/0.63	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', vacuousDall)).
0.59/0.63	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', upairsetIR)).
0.59/0.63	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', singletonsswitch)).
0.59/0.63	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', eqinunit)).
0.59/0.63	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', emptyinPowerset)).
0.59/0.63	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setadjoinIR)).
0.59/0.63	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', nonemptyI1)).
0.59/0.63	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', noeltsimpempty)).
0.59/0.63	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', emptyI)).
0.59/0.63	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setext)).
0.59/0.63	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', wellorderingAx)).
0.59/0.63	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', foundationAx)).
0.59/0.63	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setunionAx)).
0.59/0.63	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', powersetAx)).
0.59/0.63	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.VWTIwqHKot/Vampire---4.8_29350', setextAx)).
0.59/0.63	thf(c_0_175, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.59/0.63	thf(c_0_176, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.59/0.63	thf(c_0_177, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.59/0.63	thf(c_0_178, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.59/0.63	thf(c_0_179, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.59/0.63	thf(c_0_180, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
0.59/0.63	thf(c_0_181, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.59/0.63	thf(c_0_182, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.59/0.63	thf(c_0_183, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.59/0.63	thf(c_0_184, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
0.59/0.63	thf(c_0_185, plain, ((singletonprop)<=>![X4:$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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
0.59/0.63	thf(c_0_186, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
0.59/0.63	thf(c_0_187, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
0.59/0.63	thf(c_0_188, plain, ((ex1I2)<=>![X4:$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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
0.59/0.63	thf(c_0_189, plain, ((ex1I)<=>![X4:$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])).
0.59/0.63	thf(c_0_190, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.59/0.63	thf(c_0_191, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.59/0.63	thf(c_0_192, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.59/0.63	thf(c_0_193, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.59/0.63	thf(c_0_194, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.59/0.63	thf(c_0_195, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.59/0.63	thf(c_0_196, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.59/0.63	thf(c_0_197, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.59/0.63	thf(c_0_198, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.59/0.63	thf(c_0_199, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.59/0.63	thf(c_0_200, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.59/0.63	thf(c_0_201, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.59/0.63	thf(c_0_202, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.59/0.63	thf(c_0_203, plain, ((epred1_0)<=>![X519:$i]:(?[X520:$i]:((((![X521:$i]:(((in @ X521 @ X520)=>![X522:$i]:(((in @ X522 @ X521)=>(in @ X522 @ X519)))))&![X523:$i, X524:$i]:((((in @ X523 @ X519)&(in @ X524 @ X519))=>(![X525:$i]:(((in @ X525 @ X520)=>((in @ X523 @ X525)<=>(in @ X524 @ X525))))=>((X523)=(X524))))))&![X526:$i, X527:$i]:((((in @ X526 @ X520)&(in @ X527 @ X520))=>(![X528:$i]:(((in @ X528 @ X526)=>(in @ X528 @ X527)))|![X529:$i]:(((in @ X529 @ X527)=>(in @ X529 @ X526)))))))&![X530:$i]:(((![X531:$i]:(((in @ X531 @ X530)=>(in @ X531 @ X519)))&?[X532:$i]:((in @ X532 @ X530)))=>?[X533:$i, X534:$i]:(((((in @ X533 @ X520)&(in @ X534 @ X530))&~(?[X535:$i]:(((in @ X535 @ X533)&(in @ X535 @ X530)))))&![X536:$i]:(((in @ X536 @ X520)=>(![X537:$i]:(((in @ X537 @ X536)=>(in @ X537 @ X533)))|(in @ X534 @ X536)))))))))))), introduced(definition)).
0.59/0.63	thf(c_0_204, negated_conjecture, ~((![X500:$i, X501:$i]:((![X502:$i]:(((in @ X502 @ X500)<=>(in @ X502 @ X501)))=>((X500)=(X501))))=>(![X973:$i]:(~(in @ X973 @ emptyset))=>(![X970:$i, X971:$i, X972:$i]:(((in @ X972 @ (setadjoin @ X970 @ X971))<=>(((X972)=(X970))|(in @ X972 @ X971))))=>(![X503:$i, X504:$i]:(((in @ X504 @ (powerset @ X503))<=>![X505:$i]:(((in @ X505 @ X504)=>(in @ X505 @ X503)))))=>(![X506:$i, X507:$i]:(((in @ X507 @ (setunion @ X506))<=>?[X508:$i]:(((in @ X507 @ X508)&(in @ X508 @ X506)))))=>((in @ emptyset @ omega)=>(![X969:$i]:(((in @ X969 @ omega)=>(in @ (setadjoin @ X969 @ X969) @ omega)))=>(![X966:$i]:((((in @ emptyset @ X966)&![X967:$i]:((((in @ X967 @ omega)&(in @ X967 @ X966))=>(in @ (setadjoin @ X967 @ X967) @ X966))))=>![X968:$i]:(((in @ X968 @ omega)=>(in @ X968 @ X966)))))=>(![X509:$i > $i > $o, X510:$i]:((![X511:$i]:(((in @ X511 @ X510)=>(exu @ (^[Z0/* 3 */:$i]:((X509 @ X511 @ Z0))))))=>?[X512:$i]:(![X513:$i]:(((in @ X513 @ X512)<=>?[X514:$i]:(((in @ X514 @ X510)&(X509 @ X514 @ X513))))))))=>(![X515:$i]:((?[X516:$i]:((in @ X516 @ X515))=>?[X517:$i]:(((in @ X517 @ X515)&~(?[X518:$i]:(((in @ X518 @ X517)&(in @ X518 @ X515))))))))=>((epred1_0)=>(![X538:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X538 @ Z0))))=>(X538 @ (descr @ (^[Z0/* 3 */:$i]:((X538 @ Z0)))))))=>(![X539:$i, X540:$i > $o, X541:$i]:(((in @ X541 @ X539)=>((X540 @ X541)=>(in @ X541 @ (dsetconstr @ X539 @ (^[Z0/* 3 */:$i]:((X540 @ Z0))))))))=>(![X542:$i, X543:$i > $o, X544:$i]:(((in @ X544 @ (dsetconstr @ X542 @ (^[Z0/* 3 */:$i]:((X543 @ Z0)))))=>(in @ X544 @ X542)))=>(![X963:$i, X964:$i > $o, X965:$i]:(((in @ X965 @ (dsetconstr @ X963 @ (^[Z0/* 3 */:$i]:((X964 @ Z0)))))=>(X964 @ X965)))=>(![X960:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X960 @ Z0))))=>?[X961:$i]:(((X960 @ X961)&![X962:$i]:(((X960 @ X962)=>((X961)=(X962))))))))=>(![X958:$o, X959:$i]:(((in @ X959 @ (prop2set @ ((X958))))=>(X958)))=>(![X956:$i]:(((in @ X956 @ emptyset)=>![X957:$o]:((X957))))=>(![X955:$i]:(~(in @ X955 @ emptyset))=>(![X954:$i]:(~(in @ X954 @ emptyset))=>(![X545:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X545 @ Z0))))=>?[X546:$i]:((X545 @ X546))))=>(![X547:$i, X548:$i]:((![X549:$i]:(((in @ X549 @ X547)=>(in @ X549 @ X548)))=>(![X550:$i]:(((in @ X550 @ X548)=>(in @ X550 @ X547)))=>((X547)=(X548)))))=>(![X551:$i]:((![X552:$i]:(~(in @ X552 @ X551))=>((X551)=(emptyset))))=>(![X553:$i]:((![X554:$i]:(~(in @ X554 @ X553))=>((X553)=(emptyset))))=>(![X555:$i, X556:$i > $o, X557:$i]:(((in @ X557 @ X555)=>((in @ X557 @ (dsetconstr @ X555 @ (^[Z0/* 3 */:$i]:((X556 @ Z0)))))<=>(X556 @ X557))))=>(![X952:$i]:(((nonempty @ X952)=>?[X953:$i]:((in @ X953 @ X952))))=>(![X558:$i, X559:$i > $o, X560:$i]:(((in @ X560 @ X558)=>((X559 @ X560)=>(nonempty @ (dsetconstr @ X558 @ (^[Z0/* 3 */:$i]:((X559 @ Z0))))))))=>(![X561:$i]:((?[X562:$i]:((in @ X562 @ X561))=>(nonempty @ X561)))=>(![X950:$i, X951:$i]:((in @ X950 @ (setadjoin @ X950 @ X951)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X563:$i, X564:$i, X565:$i]:(((in @ X565 @ X564)=>(in @ X565 @ (setadjoin @ X563 @ X564))))=>(![X946:$i, X947:$i, X948:$i]:(((in @ X948 @ (setadjoin @ X946 @ X947))=>![X949:$o]:(((((X948)=(X946))=>(X949))=>(((in @ X948 @ X947)=>(X949))=>(X949))))))=>(![X943:$i, X944:$i, X945:$i]:(((in @ X945 @ (setadjoin @ X943 @ X944))=>(((X945)=(X943))|(in @ X945 @ X944))))=>(![X566:$i]:(((dsetconstr @ X566 @ (^[Z0/* 3 */:$i]:(($true))))=(X566)))=>(![X940:$i, X941:$i]:((![X942:$i]:(((in @ X942 @ X941)=>(in @ X942 @ X940)))=>(in @ X941 @ (powerset @ X940))))=>(![X567:$i]:((in @ emptyset @ (powerset @ X567)))=>(![X939:$i]:((in @ emptyset @ (powerset @ X939)))=>(![X936:$i, X937:$i, X938:$i]:(((in @ X937 @ (powerset @ X936))=>((in @ X938 @ X937)=>(in @ X938 @ X936))))=>(![X933:$i, X934:$i, X935:$i]:(((in @ X934 @ X935)=>((in @ X935 @ X933)=>(in @ X934 @ (setunion @ X933)))))=>(![X929:$i, X930:$i]:(((in @ X930 @ (setunion @ X929))=>![X931:$o]:((![X932:$i]:(((in @ X930 @ X932)=>((in @ X932 @ X929)=>(X931))))=>(X931)))))=>(![X927:$i, X928:$i]:(((in @ X928 @ X927)=>(in @ X928 @ (powerset @ (setunion @ X927)))))=>(![X924:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X924 @ Z0))))=>?[X925:$i]:(![X926:$i]:(((X924 @ X926)<=>((X926)=(X925)))))))=>(![X922:$i]:(((nonempty @ X922)=>?[X923:$i]:((in @ X923 @ X922))))=>(![X920:$i, X921:$i]:(((in @ X920 @ (setadjoin @ X921 @ emptyset))=>((X920)=(X921))))=>(![X918:$i, X919:$i]:((((X918)!=(X919))=>~(in @ X919 @ (setadjoin @ X918 @ emptyset))))=>(![X568:$i, X569:$i]:((((X568)=(X569))=>(in @ X568 @ (setadjoin @ X569 @ emptyset))))=>(![X570:$i, X571:$i]:(((in @ X570 @ (setadjoin @ X571 @ emptyset))=>(in @ X571 @ (setadjoin @ X570 @ emptyset))))=>(![X915:$i, X916:$i, X917:$i]:(((in @ X917 @ (setadjoin @ X915 @ (setadjoin @ X916 @ emptyset)))=>(((X917)=(X915))|((X917)=(X916)))))=>(![X913:$i, X914:$i]:((in @ X913 @ (setadjoin @ X913 @ (setadjoin @ X914 @ emptyset))))=>(![X572:$i, X573:$i]:((in @ X573 @ (setadjoin @ X572 @ (setadjoin @ X573 @ emptyset))))=>(![X910:$i, X911:$i > $o]:((?[X912:$i]:(((in @ X912 @ X910)&(X911 @ X912)))=>((dsetconstr @ X910 @ (^[Z0/* 3 */:$i]:((X911 @ Z0))))!=(emptyset))))=>(![X574:$i > $o, X575:$i]:(((in @ X575 @ emptyset)=>(X574 @ X575)))=>(![X576:$i, X577:$i > $o]:((~(![X578:$i]:(((in @ X578 @ X576)=>(X577 @ X578))))=>?[X579:$i]:(((in @ X579 @ X576)&~(X577 @ X579)))))=>(![X580:$i, X581:$i > $o]:((![X582:$i]:(((in @ X582 @ X580)=>~(X581 @ X582)))=>~(?[X583:$i]:(((in @ X583 @ X580)&(X581 @ X583))))))=>(![X906:$i, X907:$i > $o]:((~(?[X908:$i]:(((in @ X908 @ X906)&(X907 @ X908))))=>![X909:$i]:(((in @ X909 @ X906)=>~(X907 @ X909)))))=>(![X584:$i, X585:$i > $o]:((?[X586:$i]:(((in @ X586 @ X584)&~(X585 @ X586)))=>~(![X587:$i]:(((in @ X587 @ X584)=>(X585 @ X587))))))=>(![X588:$o]:(((X588)=>(in @ emptyset @ (prop2set @ ((X588))))))=>((prop2set2propI)=>(![X589:$i, X590:$i > $o]:((~(?[X591:$i]:(((in @ X591 @ X589)&(X590 @ X591))))=>![X592:$i]:(((in @ X592 @ X589)=>~(X590 @ X592)))))=>(![X902:$i, X903:$i > $o]:((~(![X904:$i]:(((in @ X904 @ X902)=>(X903 @ X904))))=>?[X905:$i]:(((in @ X905 @ X902)&~(X903 @ X905)))))=>(![X593:$i > $o]:((?[X594:$i]:(((X593 @ X594)&![X595:$i]:(((X593 @ X595)=>((X594)=(X595))))))=>(exu @ (^[Z0/* 3 */:$i]:((X593 @ Z0))))))=>(![X596:$i > $o]:((?[X597:$i]:((X596 @ X597))=>(![X598:$i, X599:$i]:(((X596 @ X598)=>((X596 @ X599)=>((X598)=(X599)))))=>(exu @ (^[Z0/* 3 */:$i]:((X596 @ Z0)))))))=>(![X600:$i > $o]:((?[X601:$i]:(![X602:$i]:(((X600 @ X602)<=>((X602)=(X601)))))=>(exu @ (^[Z0/* 3 */:$i]:((X600 @ Z0))))))=>(![X603:$i, X604:$i]:((((X603)=(X604))=>![X605:$i, X606:$i]:((((X605)=(X606))=>((in @ X605 @ X603)=>(in @ X606 @ X604))))))=>(![X898:$i, X899:$i]:((((X898)=(X899))=>![X900:$i, X901:$i]:((((X900)=(X901))=>((in @ X900 @ X898)<=>(in @ X901 @ X899))))))=>(![X895:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X895 @ Z0))))=>![X896:$i, X897:$i]:(((X895 @ X896)=>((X895 @ X897)=>((X896)=(X897)))))))=>(![X891:$i > $o, X892:$i > $o]:((![X893:$i, X894:$i]:((((X893)=(X894))=>((X891 @ X893)<=>(X892 @ X894))))=>((exu @ (^[Z0/* 3 */:$i]:((X891 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X892 @ Z0)))))))=>(((emptyset)=(emptyset))=>(![X607:$i, X608:$i]:((((X607)=(X608))=>![X609:$i, X610:$i]:((((X609)=(X610))=>((setadjoin @ X607 @ X609)=(setadjoin @ X608 @ X610))))))=>(![X611:$i, X612:$i]:((((X611)=(X612))=>((powerset @ X611)=(powerset @ X612))))=>(![X613:$i, X614:$i]:((((X613)=(X614))=>((setunion @ X613)=(setunion @ X614))))=>(((omega)=(omega))=>(![X615:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X615 @ Z0))))=>![X616:$i, X617:$i]:(((X615 @ X616)=>((X615 @ X617)=>((X616)=(X617)))))))=>(![X887:$i > $o, X888:$i > $o]:((![X889:$i, X890:$i]:((((X889)=(X890))=>((X887 @ X889)<=>(X888 @ X890))))=>((exu @ (^[Z0/* 3 */:$i]:((X887 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X888 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X887 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X888 @ Z0)))))))))=>(![X618:$i, X619:$i]:((((X618)=(X619))=>![X620:$i > $o, X621:$i > $o]:((![X622:$i]:(((in @ X622 @ X618)=>![X623:$i]:(((in @ X623 @ X619)=>(((X622)=(X623))=>((X620 @ X622)<=>(X621 @ X623)))))))=>((dsetconstr @ X618 @ (^[Z0/* 3 */:$i]:((X620 @ Z0))))=(dsetconstr @ X619 @ (^[Z0/* 3 */:$i]:((X621 @ Z0)))))))))=>(![X624:$i, X625:$i]:((![X626:$i]:(((in @ X626 @ X624)=>(in @ X626 @ X625)))=>(subset @ X624 @ X625)))=>(![X885:$i, X886:$i]:((((X885)=(X886))=>(subset @ X886 @ X885)))=>(![X627:$i, X628:$i]:((((X627)=(X628))=>(subset @ X627 @ X628)))=>(![X629:$i, X630:$i]:((![X631:$i]:(((in @ X631 @ X629)=>(in @ X631 @ X630)))=>(subset @ X629 @ X630)))=>(![X884:$i]:((subset @ emptyset @ X884))=>(![X632:$i, X633:$i, X634:$i]:(((subset @ X632 @ X633)=>((in @ X634 @ X632)=>(in @ X634 @ X633))))=>(![X881:$i, X882:$i, X883:$i]:(((subset @ X881 @ X882)=>(~(in @ X883 @ X882)=>~(in @ X883 @ X881))))=>(![X635:$i, X636:$i, X637:$i]:(((in @ X637 @ X635)=>(~(in @ X637 @ X636)=>~(subset @ X635 @ X636))))=>(![X638:$i, X639:$i]:((~(subset @ X638 @ X639)=>((X638)!=(X639))))=>(![X640:$i, X641:$i, X642:$i]:(((in @ X642 @ X640)=>(~(in @ X642 @ X641)=>((X640)!=(X641)))))=>(![X643:$i]:((subset @ X643 @ X643))=>(![X644:$i, X645:$i, X646:$i]:(((subset @ X644 @ X645)=>((subset @ X645 @ X646)=>(subset @ X644 @ X646))))=>(![X879:$i, X880:$i]:((subset @ X880 @ (setadjoin @ X879 @ X880)))=>(![X647:$i, X648:$i, X649:$i]:(((subset @ X647 @ X649)=>(subset @ X647 @ (setadjoin @ X648 @ X649))))=>(![X650:$i, X651:$i]:(((subset @ X650 @ X651)=>(in @ X650 @ (powerset @ X651))))=>(![X877:$i, X878:$i]:(((subset @ X877 @ X878)=>((subset @ X878 @ X877)=>((X877)=(X878)))))=>(![X652:$i]:(((subset @ X652 @ emptyset)=>((X652)=(emptyset))))=>(![X653:$i, X654:$i]:(((subset @ X654 @ X653)=>(in @ X654 @ (powerset @ X653))))=>(![X875:$i, X876:$i]:(((in @ X876 @ (powerset @ X875))=>(subset @ X876 @ X875)))=>(![X874:$i]:((in @ X874 @ (powerset @ X874)))=>(![X655:$i, X656:$i]:(((subset @ X655 @ X656)=>(subset @ (powerset @ X655) @ 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powersetI]), emptysetAx]), emptysetsubset]), eqimpsubset2]), omega__Cong]), c_0_175]), emptyset__Cong]), c_0_176]), c_0_177]), c_0_178]), in__Cong]), c_0_179]), notdallE]), quantDeMorgan3]), subsetI1]), c_0_180]), upairsetIL]), upairsetE]), eqimpsubset1]), notinsingleton]), uniqinunit]), subsetI2]), nonemptyImpWitness]), inCongP]), c_0_181]), subPowSU]), setunionE]), subsetE]), setunionI]), powersetE]), notsubsetI]), emptyInPowerset]), binintersectSubset5]), setadjoin__Cong]), setadjoinOr]), setadjoinE]), emptyinunitempty]), notequalI1]), setadjoinIL]), nonemptyE1]), notequalI2]), notinemptyset]), emptysetimpfalse]), emptysetE]), subsetRefl]), prop2setE]), c_0_182]), subsetTrans]), c_0_183]), omegaIndAx]), omegaSAx]), setadjoinSub2]), omega0Ax]), setadjoinAx]), subset2powerset]), subsetemptysetimpeq]), powersetI1]), powerset__Cong]), powersetsubset]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), c_0_184]), setukpairinjL1]), binintersectEL]), binintersectSubset3]), binintersectER]), binintersectRsub]), binintersectSubset4]), bs114d]), setminusI]), setminusEL]), setminusER]), setunion__Cong]), setminusERneg]), setminusELneg]), setminusILneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffIneg2]), secondinupair]), setukpairIR]), kpairiskpair]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodmempair]), setunionE2]), setunionsingleton1]), setunionsingleton]), c_0_185]), kfstpairEq]), cartprodfstin]), setukpairinjL]), setukpairinjR1]), setukpairinjR]), c_0_186]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), setukpairinjR2]), upairequniteq]), setukpairinjR12]), setukpairinjR11]), setukpairinjL2]), theprop]), c_0_187]), singletonsuniq]), c_0_188]), c_0_189]), setunionsingleton2]), cartprodmempair1]), cartprodpairin]), singletoninpowunion]), singletoninpowerset]), singletonsubset]), kpairp]), setukpairIL]), symdiffIneg1]), symdiffI2]), symdiffI1]), setminusIRneg]), setminusSubset2]), binintersectSubset1]), disjointsetsI1]), binintersectSubset2]), binintersectLsub]), upairset2IR]), binunionIL]), c_0_190]), c_0_191]), inPowerset]), powersetE1]), setextsub]), setadjoinSub]), subsetE2]), c_0_192]), c_0_193]), c_0_194]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), upairsetIR]), singletonsswitch]), eqinunit]), emptyinPowerset]), c_0_195]), setadjoinIR]), nonemptyI1]), c_0_196]), c_0_197]), noeltsimpempty]), emptyI]), setext]), c_0_198]), c_0_199]), c_0_200]), c_0_201]), wellorderingAx]), foundationAx]), c_0_202]), setunionAx]), powersetAx]), setextAx])]), c_0_203])).
0.59/0.63	thf(c_0_205, negated_conjecture, ![X974:$i, X975:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X987:$i, X988:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X996:$i, X997:$i > $i > $o, X998:$i, X1001:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1008:$i, X1009:$i > $o, X1010:$i, X1011:$i > $o, X1012:$i, X1013:$i, X1014:$i > $o, X1015:$i, X1016:$i, X1017:$i > $o, X1018:$i, X1019:$i > $o, X1021:$i, X1022:$o, X1023:$i, X1024:$i, X1025:$o, X1026:$i, X1027:$i, X1028:$i > $o, X1030:$i, X1031:$i, X1034:$i, X1036:$i, X1038:$i, X1039:$i > $o, X1040:$i, X1041:$i, X1043:$i, X1044:$i > $o, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$o, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i, X1072:$i, X1073:$i, X1074:$o, X1076:$i, X1077:$i, X1078:$i > $o, X1080:$i, X1081:$i, X1082:$i, X1084:$i, X1085:$i, X1086:$i, X1087:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i > $o, X1101:$i, X1102:$i > $o, X1103:$i, X1104:$i, X1105:$i > $o, X1106:$i, X1108:$i, X1109:$i > $o, X1111:$i, X1112:$i, X1113:$i > $o, X1115:$i, X1116:$i, X1117:$i > $o, X1118:$i, X1120:$o, X1121:$i, X1122:$i > $o, X1124:$i, X1125:$i, X1126:$i > $o, X1127:$i, X1129:$i > $o, X1130:$i, X1132:$i > $o, X1133:$i, X1136:$i > $o, X1137:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i > $o, X1148:$i, X1149:$i, X1150:$i > $o, X1151:$i > $o, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1162:$i > $o, X1163:$i, X1164:$i, X1165:$i > $o, X1166:$i > $o, X1169:$i, X1170:$i, X1171:$i > $o, X1172:$i > $o, X1175:$i, X1176:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1212:$i, X1213:$i, X1214:$i, X1215:$i, X1216:$i, X1217:$i, X1218:$i, X1219:$i, X1220:$i, X1221:$i, X1222:$i > $o, X1223:$i, X1224:$i > $o, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$o, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1253:$i, X1254:$i, X1255:$i, X1256:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1279:$i, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1287:$i, X1288:$i, X1289:$i, X1290:$i, X1291:$i, X1292:$i, X1293:$i, X1294:$i, X1295:$i, X1296:$i, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$o, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1342:$i, X1343:$i, X1344:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1366:$i, X1367:$i, X1368:$i, X1369:$i, X1370:$i, X1372:$i, X1373:$i, X1374:$i, X1375:$i, X1376:$i > $o, X1379:$i, X1380:$i, X1381:$i > $o, X1383:$i, X1384:$i > $o, X1385:$i, X1387:$i, X1388:$i > $o, X1391:$i, X1392:$i, X1393:$i, X1394:$i, X1395:$i, X1396:$i, X1397:$i, X1398:$i, X1399:$i, X1400:$i, X1401:$i, X1402:$i, X1403:$i, X1404:$i, X1405:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i, X1410:$i, X1411:$i, X1412:$i, X1413:$i, X1414:$i, X1415:$i, X1416:$i, X1417:$i, X1418:$i, X1419:$i, X1420:$i, X1421:$i, X1422:$i, X1423:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$i, X1430:$i, X1431:$i, X1432:$i, X1433:$i, X1434:$i, X1435:$i, X1436:$i, X1437:$i]:((((~(in @ (esk1_2 @ X974 @ X975) @ X974)|~(in @ (esk1_2 @ X974 @ X975) @ X975)|((X974)=(X975)))&((in @ (esk1_2 @ X974 @ X975) @ X974)|(in @ (esk1_2 @ X974 @ X975) @ X975)|((X974)=(X975))))&(~(in @ X977 @ emptyset)&(((~(in @ X980 @ (setadjoin @ X978 @ X979))|(((X980)=(X978))|(in @ X980 @ X979)))&((((X980)!=(X978))|(in @ X980 @ (setadjoin @ X978 @ X979)))&(~(in @ X980 @ X979)|(in @ X980 @ (setadjoin @ X978 @ X979)))))&(((~(in @ X982 @ (powerset @ X981))|(~(in @ X983 @ X982)|(in @ X983 @ X981)))&(((in @ (esk2_2 @ X984 @ X985) @ X985)|(in @ X985 @ (powerset @ X984)))&(~(in @ (esk2_2 @ X984 @ X985) @ X984)|(in @ X985 @ (powerset @ X984)))))&(((((in @ X988 @ (esk3_2 @ X987 @ X988))|~(in @ X988 @ (setunion @ X987)))&((in @ (esk3_2 @ X987 @ X988) @ X987)|~(in @ X988 @ (setunion @ X987))))&(~(in @ X991 @ X992)|~(in @ X992 @ X990)|(in @ X991 @ (setunion @ X990))))&((in @ emptyset @ omega)&((~(in @ X993 @ omega)|(in @ (setadjoin @ X993 @ X993) @ omega))&(((((in @ (esk4_1 @ X994) @ omega)|~(in @ emptyset @ X994)|(~(in @ X996 @ omega)|(in @ X996 @ X994)))&((in @ (esk4_1 @ X994) @ X994)|~(in @ emptyset @ X994)|(~(in @ X996 @ omega)|(in @ X996 @ X994))))&(~(in @ (setadjoin @ (esk4_1 @ X994) @ (esk4_1 @ X994)) @ X994)|~(in @ emptyset @ X994)|(~(in @ X996 @ omega)|(in @ X996 @ X994))))&((((((in @ (esk7_3 @ X997 @ X998 @ X1001) @ X998)|~(in @ X1001 @ (esk6_2 @ X997 @ X998))|(in @ (esk5_2 @ X997 @ X998) @ X998))&((X997 @ (esk7_3 @ X997 @ X998 @ X1001) @ X1001)|~(in @ X1001 @ (esk6_2 @ X997 @ X998))|(in @ (esk5_2 @ X997 @ X998) @ X998)))&(~(in @ X1004 @ X998)|~(X997 @ X1004 @ X1003)|(in @ X1003 @ (esk6_2 @ X997 @ X998))|(in @ (esk5_2 @ X997 @ X998) @ X998)))&((((in @ (esk7_3 @ X997 @ X998 @ X1001) @ X998)|~(in @ X1001 @ (esk6_2 @ X997 @ X998))|~(exu @ (^[Z0/* 3 */:$i]:((X997 @ (esk5_2 @ X997 @ X998) @ Z0)))))&((X997 @ (esk7_3 @ X997 @ X998 @ X1001) @ X1001)|~(in @ X1001 @ (esk6_2 @ X997 @ X998))|~(exu @ (^[Z0/* 3 */:$i]:((X997 @ (esk5_2 @ X997 @ X998) @ Z0))))))&(~(in @ X1004 @ X998)|~(X997 @ X1004 @ X1003)|(in @ X1003 @ (esk6_2 @ X997 @ X998))|~(exu @ (^[Z0/* 3 */:$i]:((X997 @ (esk5_2 @ X997 @ X998) @ Z0)))))))&((((in @ (esk8_1 @ X1005) @ X1005)|~(in @ X1006 @ X1005))&(~(in @ X1008 @ (esk8_1 @ X1005))|~(in @ X1008 @ X1005)|~(in @ X1006 @ X1005)))&((epred1_0)&((~(exu @ (^[Z0/* 3 */:$i]:((X1009 @ Z0))))|(X1009 @ (descr @ (^[Z0/* 3 */:$i]:((X1009 @ Z0))))))&((~(in @ X1012 @ X1010)|(~(X1011 @ X1012)|(in @ X1012 @ (dsetconstr @ X1010 @ (^[Z0/* 3 */:$i]:((X1011 @ Z0)))))))&((~(in @ X1015 @ (dsetconstr @ X1013 @ (^[Z0/* 3 */:$i]:((X1014 @ Z0)))))|(in @ X1015 @ X1013))&((~(in @ X1018 @ (dsetconstr @ X1016 @ (^[Z0/* 3 */:$i]:((X1017 @ Z0)))))|(X1017 @ X1018))&((((X1019 @ (esk9_1 @ X1019))|~(exu @ (^[Z0/* 3 */:$i]:((X1019 @ Z0)))))&(~(X1019 @ X1021)|((esk9_1 @ X1019)=(X1021))|~(exu @ (^[Z0/* 3 */:$i]:((X1019 @ Z0))))))&((~(in @ X1023 @ (prop2set @ ((X1022))))|(X1022))&((~(in @ X1024 @ emptyset)|(X1025))&(~(in @ X1026 @ emptyset)&(~(in @ X1027 @ emptyset)&((~(exu @ (^[Z0/* 3 */:$i]:((X1028 @ Z0))))|(X1028 @ (esk10_1 @ X1028)))&(((((in @ (esk12_2 @ X1030 @ X1031) @ X1031)|((X1030)=(X1031))|(in @ (esk11_2 @ X1030 @ X1031) @ X1030))&(~(in @ (esk12_2 @ X1030 @ X1031) @ X1030)|((X1030)=(X1031))|(in @ (esk11_2 @ X1030 @ X1031) @ X1030)))&(((in @ (esk12_2 @ X1030 @ X1031) @ X1031)|((X1030)=(X1031))|~(in @ (esk11_2 @ X1030 @ X1031) @ X1031))&(~(in @ (esk12_2 @ X1030 @ X1031) @ X1030)|((X1030)=(X1031))|~(in @ (esk11_2 @ X1030 @ X1031) @ X1031))))&(((in @ (esk13_1 @ X1034) @ X1034)|((X1034)=(emptyset)))&(((in @ (esk14_1 @ X1036) @ X1036)|((X1036)=(emptyset)))&(((~(in @ X1040 @ (dsetconstr @ X1038 @ (^[Z0/* 3 */:$i]:((X1039 @ Z0)))))|(X1039 @ X1040)|~(in @ X1040 @ X1038))&(~(X1039 @ X1040)|(in @ X1040 @ (dsetconstr @ X1038 @ (^[Z0/* 3 */:$i]:((X1039 @ Z0)))))|~(in @ X1040 @ X1038)))&((~(nonempty @ X1041)|(in @ (esk15_1 @ X1041) @ X1041))&((~(in @ X1045 @ X1043)|(~(X1044 @ X1045)|(nonempty @ (dsetconstr @ X1043 @ (^[Z0/* 3 */:$i]:((X1044 @ Z0)))))))&((~(in @ X1047 @ X1046)|(nonempty @ X1046))&((in @ X1048 @ (setadjoin @ X1048 @ X1049))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1052 @ X1051)|(in @ X1052 @ (setadjoin @ X1050 @ X1051)))&(((((in @ X1055 @ X1054)|(X1056)|((X1055)=(X1053))|~(in @ X1055 @ (setadjoin @ X1053 @ X1054)))&(~(X1056)|(X1056)|((X1055)=(X1053))|~(in @ X1055 @ (setadjoin @ X1053 @ X1054))))&(((in @ X1055 @ X1054)|(X1056)|~(X1056)|~(in @ X1055 @ (setadjoin @ X1053 @ X1054)))&(~(X1056)|(X1056)|~(X1056)|~(in @ X1055 @ (setadjoin @ X1053 @ X1054)))))&((~(in @ X1059 @ (setadjoin @ X1057 @ X1058))|(((X1059)=(X1057))|(in @ X1059 @ X1058)))&(((dsetconstr @ X1060 @ (^[Z0/* 3 */:$i]:(($true))))=(X1060))&((((in @ (esk16_2 @ X1061 @ X1062) @ X1062)|(in @ X1062 @ (powerset @ X1061)))&(~(in @ (esk16_2 @ X1061 @ X1062) @ X1061)|(in @ X1062 @ (powerset @ X1061))))&((in @ emptyset @ (powerset @ X1064))&((in @ emptyset @ (powerset @ X1065))&((~(in @ X1067 @ (powerset @ X1066))|(~(in @ X1068 @ X1067)|(in @ X1068 @ X1066)))&((~(in @ X1070 @ X1071)|(~(in @ X1071 @ X1069)|(in @ X1070 @ (setunion @ X1069))))&((((in @ X1073 @ (esk17_3 @ X1072 @ X1073 @ X1074))|(X1074)|~(in @ X1073 @ (setunion @ X1072)))&(((in @ (esk17_3 @ X1072 @ X1073 @ X1074) @ X1072)|(X1074)|~(in @ X1073 @ (setunion @ X1072)))&(~(X1074)|(X1074)|~(in @ X1073 @ (setunion @ X1072)))))&((~(in @ X1077 @ X1076)|(in @ X1077 @ (powerset @ (setunion @ X1076))))&(((~(X1078 @ X1080)|((X1080)=(esk18_1 @ X1078))|~(exu @ (^[Z0/* 3 */:$i]:((X1078 @ Z0)))))&(((X1081)!=(esk18_1 @ X1078))|(X1078 @ X1081)|~(exu @ (^[Z0/* 3 */:$i]:((X1078 @ Z0))))))&((~(nonempty @ X1082)|(in @ (esk19_1 @ X1082) @ X1082))&((~(in @ X1084 @ (setadjoin @ X1085 @ emptyset))|((X1084)=(X1085)))&((((X1086)=(X1087))|~(in @ X1087 @ (setadjoin @ X1086 @ emptyset)))&((((X1088)!=(X1089))|(in @ X1088 @ (setadjoin @ X1089 @ emptyset)))&((~(in @ X1090 @ (setadjoin @ X1091 @ emptyset))|(in @ X1091 @ (setadjoin @ X1090 @ emptyset)))&((~(in @ X1094 @ (setadjoin @ X1092 @ (setadjoin @ X1093 @ emptyset)))|(((X1094)=(X1092))|((X1094)=(X1093))))&((in @ X1095 @ (setadjoin @ X1095 @ (setadjoin @ X1096 @ emptyset)))&((in @ X1098 @ (setadjoin @ X1097 @ (setadjoin @ X1098 @ emptyset)))&((~(in @ X1101 @ X1099)|~(X1100 @ X1101)|((dsetconstr @ X1099 @ (^[Z0/* 3 */:$i]:((X1100 @ Z0))))!=(emptyset)))&((~(in @ X1103 @ emptyset)|(X1102 @ X1103))&((((in @ (esk20_2 @ X1104 @ X1105) @ X1104)|(~(in @ X1106 @ X1104)|(X1105 @ X1106)))&(~(X1105 @ (esk20_2 @ X1104 @ X1105))|(~(in @ X1106 @ X1104)|(X1105 @ X1106))))&((((in @ (esk21_2 @ X1108 @ X1109) @ X1108)|(~(in @ X1111 @ X1108)|~(X1109 @ X1111)))&((X1109 @ (esk21_2 @ X1108 @ X1109))|(~(in @ X1111 @ X1108)|~(X1109 @ X1111))))&((((in @ (esk22_2 @ X1112 @ X1113) @ X1112)|(~(in @ X1115 @ X1112)|~(X1113 @ X1115)))&((X1113 @ (esk22_2 @ X1112 @ X1113))|(~(in @ X1115 @ X1112)|~(X1113 @ X1115))))&((((in @ (esk23_2 @ X1116 @ X1117) @ X1116)|(~(in @ X1118 @ X1116)|(X1117 @ X1118)))&(~(X1117 @ (esk23_2 @ X1116 @ X1117))|(~(in @ X1118 @ X1116)|(X1117 @ X1118))))&((~(X1120)|(in @ emptyset @ (prop2set @ ((X1120)))))&((prop2set2propI)&((((in @ (esk24_2 @ X1121 @ X1122) @ X1121)|(~(in @ X1124 @ X1121)|~(X1122 @ X1124)))&((X1122 @ (esk24_2 @ X1121 @ X1122))|(~(in @ X1124 @ X1121)|~(X1122 @ X1124))))&((((in @ (esk25_2 @ X1125 @ X1126) @ X1125)|(~(in @ X1127 @ X1125)|(X1126 @ X1127)))&(~(X1126 @ (esk25_2 @ X1125 @ X1126))|(~(in @ X1127 @ X1125)|(X1126 @ X1127))))&((((X1129 @ (esk26_2 @ X1129 @ X1130))|~(X1129 @ X1130)|(exu @ (^[Z0/* 3 */:$i]:((X1129 @ Z0)))))&(((X1130)!=(esk26_2 @ X1129 @ X1130))|~(X1129 @ X1130)|(exu @ (^[Z0/* 3 */:$i]:((X1129 @ 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Z0))))|~(X1384 @ X1385)|~(in @ X1385 @ X1383))&(((X1384 @ (esk45_3 @ X1383 @ X1384 @ X1385))|(ex1 @ X1383 @ (^[Z0/* 3 */:$i]:((X1384 @ Z0))))|~(X1384 @ X1385)|~(in @ X1385 @ X1383))&(((esk45_3 @ X1383 @ X1384 @ X1385)!=(X1385))|(ex1 @ X1383 @ (^[Z0/* 3 */:$i]:((X1384 @ Z0))))|~(X1384 @ X1385)|~(in @ X1385 @ X1383))))&((((in @ (esk46_2 @ X1387 @ X1388) @ X1387)|(~(in @ X1391 @ X1387)|~(X1388 @ X1391)|(ex1 @ X1387 @ (^[Z0/* 3 */:$i]:((X1388 @ Z0))))))&(((in @ (esk47_2 @ X1387 @ X1388) @ X1387)|(~(in @ X1391 @ X1387)|~(X1388 @ X1391)|(ex1 @ X1387 @ (^[Z0/* 3 */:$i]:((X1388 @ Z0))))))&(((X1388 @ (esk46_2 @ X1387 @ X1388))|(~(in @ X1391 @ X1387)|~(X1388 @ X1391)|(ex1 @ X1387 @ (^[Z0/* 3 */:$i]:((X1388 @ Z0))))))&(((X1388 @ (esk47_2 @ X1387 @ X1388))|(~(in @ X1391 @ X1387)|~(X1388 @ X1391)|(ex1 @ X1387 @ (^[Z0/* 3 */:$i]:((X1388 @ Z0))))))&(((esk46_2 @ X1387 @ X1388)!=(esk47_2 @ X1387 @ X1388))|(~(in @ X1391 @ X1387)|~(X1388 @ X1391)|(ex1 @ X1387 @ (^[Z0/* 3 */:$i]:((X1388 @ Z0))))))))))&((((setadjoin @ X1392 @ emptyset)!=(setadjoin @ X1393 @ emptyset))|((X1392)=(X1393)))&((~(in @ (setadjoin @ X1396 @ emptyset) @ (setadjoin @ (setadjoin @ X1394 @ emptyset) @ (setadjoin @ (setadjoin @ X1394 @ (setadjoin @ X1395 @ emptyset)) @ emptyset)))|((X1394)=(X1396)))&((~(iskpair @ X1397)|(singleton @ (dsetconstr @ (setunion @ X1397) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1397))))))&((~(singleton @ X1398)|(in @ (setunion @ X1398) @ X1398))&(((kfst @ (kpair @ X1399 @ X1400))=(X1399))&((~(in @ X1403 @ (cartprod @ X1401 @ X1402))|(in @ (kfst @ X1403) @ X1401))&((((setadjoin @ (setadjoin @ X1404 @ emptyset) @ (setadjoin @ (setadjoin @ X1404 @ (setadjoin @ X1405 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1406 @ emptyset) @ (setadjoin @ (setadjoin @ X1406 @ (setadjoin @ X1407 @ emptyset)) @ emptyset)))|((X1404)=(X1406)))&((((kpair @ X1408 @ X1409)!=(kpair @ X1410 @ X1411))|((X1408)=(X1410)))&((((X1412)!=(X1413))|((setadjoin @ X1412 @ (setadjoin @ X1413 @ emptyset))=(setadjoin @ X1412 @ emptyset)))&((((X1414)!=(X1415))|((setadjoin @ (setadjoin @ X1414 @ emptyset) @ (setadjoin @ (setadjoin @ X1414 @ (setadjoin @ X1415 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1414 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1416 @ emptyset) @ (setadjoin @ (setadjoin @ X1416 @ (setadjoin @ X1417 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1418 @ emptyset) @ (setadjoin @ (setadjoin @ X1418 @ (setadjoin @ X1419 @ emptyset)) @ emptyset)))|(((X1418)!=(X1419))|((X1417)=(X1419))))&((((setadjoin @ X1420 @ (setadjoin @ X1421 @ emptyset))!=(setadjoin @ X1422 @ emptyset))|((X1420)=(X1421)))&((((setadjoin @ (setadjoin @ X1423 @ emptyset) @ (setadjoin @ (setadjoin @ X1423 @ (setadjoin @ X1424 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1425 @ emptyset) @ (setadjoin @ (setadjoin @ X1425 @ (setadjoin @ X1426 @ emptyset)) @ emptyset)))|((X1424)=(X1426)))&((((kpair @ X1427 @ X1428)!=(kpair @ X1429 @ X1430))|((X1428)=(X1430)))&((~(iskpair @ X1431)|(singleton @ (dsetconstr @ (setunion @ X1431) @ (^[Z0/* 3 */:$i]:(((X1431)=(kpair @ (kfst @ X1431) @ Z0)))))))&(((ksnd @ (kpair @ X1432 @ X1433))=(X1433))&((~(iskpair @ X1434)|((kpair @ (kfst @ X1434) @ (ksnd @ X1434))=(X1434)))&((~(in @ X1437 @ (cartprod @ X1435 @ X1436))|(in @ (ksnd @ X1437) @ X1436))&((in @ (kpair @ esk50_0 @ esk51_0) @ (cartprod @ esk48_0 @ esk49_0))&~(in @ esk50_0 @ esk48_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_204])])])])])])).
0.59/0.63	thf(c_0_206, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ (kfst @ X2) @ X3)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_205])).
0.59/0.63	thf(c_0_207, negated_conjecture, (in @ (kpair @ esk50_0 @ esk51_0) @ (cartprod @ esk48_0 @ esk49_0)), inference(split_conjunct,[status(thm)],[c_0_205])).
0.59/0.63	thf(c_0_208, negated_conjecture, ![X3:$i, X2:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2))), inference(split_conjunct,[status(thm)],[c_0_205])).
0.59/0.63	thf(c_0_209, negated_conjecture, ~((in @ esk50_0 @ esk48_0)), inference(split_conjunct,[status(thm)],[c_0_205])).
0.59/0.63	thf(c_0_210, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206, c_0_207]), c_0_208]), c_0_209]), ['proof']).
0.59/0.63	# SZS output end CNFRefutation
0.59/0.63	# Parsed axioms                        : 386
0.59/0.63	# Removed by relevancy pruning/SinE    : 211
0.59/0.63	# Initial clauses                      : 272
0.59/0.63	# Removed in clause preprocessing      : 23
0.59/0.63	# Initial clauses in saturation        : 249
0.59/0.63	# Processed clauses                    : 368
0.59/0.63	# ...of these trivial                  : 7
0.59/0.63	# ...subsumed                          : 37
0.59/0.63	# ...remaining for further processing  : 324
0.59/0.63	# Other redundant clauses eliminated   : 15
0.59/0.63	# Clauses deleted for lack of memory   : 0
0.59/0.63	# Backward-subsumed                    : 0
0.59/0.63	# Backward-rewritten                   : 4
0.59/0.63	# Generated clauses                    : 198
0.59/0.63	# ...of the previous two non-redundant : 144
0.59/0.63	# ...aggressively subsumed             : 0
0.59/0.63	# Contextual simplify-reflections      : 0
0.59/0.63	# Paramodulations                      : 182
0.59/0.63	# Factorizations                       : 0
0.59/0.63	# NegExts                              : 0
0.59/0.63	# Equation resolutions                 : 16
0.59/0.63	# Total rewrite steps                  : 71
0.59/0.63	# Propositional unsat checks           : 0
0.59/0.63	#    Propositional check models        : 0
0.59/0.63	#    Propositional check unsatisfiable : 0
0.59/0.63	#    Propositional clauses             : 0
0.59/0.63	#    Propositional clauses after purity: 0
0.59/0.63	#    Propositional unsat core size     : 0
0.59/0.63	#    Propositional preprocessing time  : 0.000
0.59/0.63	#    Propositional encoding time       : 0.000
0.59/0.63	#    Propositional solver time         : 0.000
0.59/0.63	#    Success case prop preproc time    : 0.000
0.59/0.63	#    Success case prop encoding time   : 0.000
0.59/0.63	#    Success case prop solver time     : 0.000
0.59/0.63	# Current number of processed clauses  : 96
0.59/0.63	#    Positive orientable unit clauses  : 39
0.59/0.63	#    Positive unorientable unit clauses: 0
0.59/0.63	#    Negative unit clauses             : 6
0.59/0.63	#    Non-unit-clauses                  : 51
0.59/0.63	# Current number of unprocessed clauses: 231
0.59/0.63	# ...number of literals in the above   : 594
0.59/0.63	# Current number of archived formulas  : 0
0.59/0.63	# Current number of archived clauses   : 215
0.59/0.63	# Clause-clause subsumption calls (NU) : 6350
0.59/0.63	# Rec. Clause-clause subsumption calls : 3850
0.59/0.63	# Non-unit clause-clause subsumptions  : 25
0.59/0.63	# Unit Clause-clause subsumption calls : 61
0.59/0.63	# Rewrite failures with RHS unbound    : 0
0.59/0.63	# BW rewrite match attempts            : 17
0.59/0.63	# BW rewrite match successes           : 2
0.59/0.63	# Condensation attempts                : 368
0.59/0.63	# Condensation successes               : 4
0.59/0.63	# Termbank termtop insertions          : 39557
0.59/0.63	
0.59/0.63	# -------------------------------------------------
0.59/0.63	# User time                : 0.064 s
0.59/0.63	# System time              : 0.011 s
0.59/0.63	# Total time               : 0.076 s
0.59/0.63	# Maximum resident set size: 5504 pages
0.86/0.64	
0.86/0.64	# -------------------------------------------------
0.86/0.64	# User time                : 0.073 s
0.86/0.64	# System time              : 0.016 s
0.86/0.64	# Total time               : 0.088 s
0.86/0.64	# Maximum resident set size: 2204 pages
0.86/0.64	% E---3.1 exiting
0.86/0.64	EOF