0.10/0.13	% Problem    : Vampire---4.8_3307 : TPTP v0.0.0. Released v0.0.0.
0.10/0.14	% Command    : run_E %s %d THM
0.13/0.35	% Computer : n005.cluster.edu
0.13/0.35	% Model    : x86_64 x86_64
0.13/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory   : 8042.1875MB
0.13/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 1440
0.13/0.35	% WCLimit    : 180
0.13/0.35	% DateTime   : Mon Jul  3 12:51:45 EDT 2023
0.13/0.35	% CPUTime    : 
0.19/0.49	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.f29rezCc0E/Vampire---4.8_3307
0.19/0.49	# Version: 3.1pre001-ho
0.67/0.58	# Preprocessing class: HSLMSLSSLLLCHFA.
0.67/0.58	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.67/0.58	# Starting ehoh_best5 with 180s (1) cores
0.67/0.58	# Starting almost_fo_3_lam with 180s (1) cores
0.67/0.58	# Starting new_bool_5 with 180s (1) cores
0.67/0.58	# Starting pre_casc_3 with 180s (1) cores
0.67/0.58	# Starting ho_unfolding_8 with 180s (1) cores
0.67/0.58	# Starting new_ho_10_cnf2 with 180s (1) cores
0.67/0.58	# Starting new_bool_3 with 180s (1) cores
0.67/0.58	# Starting new_ho_5 with 180s (1) cores
0.67/0.58	# new_bool_5 with pid 3489 completed with status 0
0.67/0.58	# Result found by new_bool_5
0.67/0.58	# Preprocessing class: HSLMSLSSLLLCHFA.
0.67/0.58	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.67/0.58	# Starting ehoh_best5 with 180s (1) cores
0.67/0.58	# Starting almost_fo_3_lam with 180s (1) cores
0.67/0.58	# Starting new_bool_5 with 180s (1) cores
0.67/0.58	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.67/0.58	# Search class: HGHSM-FSLM31-MHFMMSBN
0.67/0.58	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.67/0.58	# Starting new_ho_10_cnf2 with 98s (1) cores
0.67/0.58	# new_ho_10_cnf2 with pid 3495 completed with status 0
0.67/0.58	# Result found by new_ho_10_cnf2
0.67/0.58	# Preprocessing class: HSLMSLSSLLLCHFA.
0.67/0.58	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.67/0.58	# Starting ehoh_best5 with 180s (1) cores
0.67/0.58	# Starting almost_fo_3_lam with 180s (1) cores
0.67/0.58	# Starting new_bool_5 with 180s (1) cores
0.67/0.58	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.67/0.58	# Search class: HGHSM-FSLM31-MHFMMSBN
0.67/0.58	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.67/0.58	# Starting new_ho_10_cnf2 with 98s (1) cores
0.67/0.58	# Preprocessing time       : 0.004 s
0.67/0.58	# Presaturation interreduction done
0.67/0.58	
0.67/0.58	# Proof found!
0.67/0.58	# SZS status Theorem
0.67/0.58	# SZS output start CNFRefutation
0.67/0.58	thf(decl_22, type, in: $i > $i > $o).
0.67/0.58	thf(decl_23, type, exu: ($i > $o) > $o).
0.67/0.58	thf(decl_24, type, setextAx: $o).
0.67/0.58	thf(decl_25, type, emptyset: $i).
0.67/0.58	thf(decl_26, type, emptysetAx: $o).
0.67/0.58	thf(decl_27, type, setadjoin: $i > $i > $i).
0.67/0.58	thf(decl_28, type, setadjoinAx: $o).
0.67/0.58	thf(decl_29, type, powerset: $i > $i).
0.67/0.58	thf(decl_30, type, powersetAx: $o).
0.67/0.58	thf(decl_31, type, setunion: $i > $i).
0.67/0.58	thf(decl_32, type, setunionAx: $o).
0.67/0.58	thf(decl_33, type, omega: $i).
0.67/0.58	thf(decl_34, type, omega0Ax: $o).
0.67/0.58	thf(decl_35, type, omegaSAx: $o).
0.67/0.58	thf(decl_36, type, omegaIndAx: $o).
0.67/0.58	thf(decl_37, type, replAx: $o).
0.67/0.58	thf(decl_38, type, foundationAx: $o).
0.67/0.58	thf(decl_39, type, wellorderingAx: $o).
0.67/0.58	thf(decl_40, type, descr: ($i > $o) > $i).
0.67/0.58	thf(decl_41, type, descrp: $o).
0.67/0.58	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_43, type, dsetconstrI: $o).
0.67/0.58	thf(decl_44, type, dsetconstrEL: $o).
0.67/0.58	thf(decl_45, type, dsetconstrER: $o).
0.67/0.58	thf(decl_46, type, exuE1: $o).
0.67/0.58	thf(decl_47, type, prop2set: $o > $i).
0.67/0.58	thf(decl_48, type, prop2setE: $o).
0.67/0.58	thf(decl_49, type, emptysetE: $o).
0.67/0.58	thf(decl_50, type, emptysetimpfalse: $o).
0.67/0.58	thf(decl_51, type, notinemptyset: $o).
0.67/0.58	thf(decl_52, type, exuE3e: $o).
0.67/0.58	thf(decl_53, type, setext: $o).
0.67/0.58	thf(decl_54, type, emptyI: $o).
0.67/0.58	thf(decl_55, type, noeltsimpempty: $o).
0.67/0.58	thf(decl_56, type, setbeta: $o).
0.67/0.58	thf(decl_57, type, nonempty: $i > $o).
0.67/0.58	thf(decl_58, type, nonemptyE1: $o).
0.67/0.58	thf(decl_59, type, nonemptyI: $o).
0.67/0.58	thf(decl_60, type, nonemptyI1: $o).
0.67/0.58	thf(decl_61, type, setadjoinIL: $o).
0.67/0.58	thf(decl_62, type, emptyinunitempty: $o).
0.67/0.58	thf(decl_63, type, setadjoinIR: $o).
0.67/0.58	thf(decl_64, type, setadjoinE: $o).
0.67/0.58	thf(decl_65, type, setadjoinOr: $o).
0.67/0.58	thf(decl_66, type, setoftrueEq: $o).
0.67/0.58	thf(decl_67, type, powersetI: $o).
0.67/0.58	thf(decl_68, type, emptyinPowerset: $o).
0.67/0.58	thf(decl_69, type, emptyInPowerset: $o).
0.67/0.58	thf(decl_70, type, powersetE: $o).
0.67/0.58	thf(decl_71, type, setunionI: $o).
0.67/0.58	thf(decl_72, type, setunionE: $o).
0.67/0.58	thf(decl_73, type, subPowSU: $o).
0.67/0.58	thf(decl_74, type, exuE2: $o).
0.67/0.58	thf(decl_75, type, nonemptyImpWitness: $o).
0.67/0.58	thf(decl_76, type, uniqinunit: $o).
0.67/0.58	thf(decl_77, type, notinsingleton: $o).
0.67/0.58	thf(decl_78, type, eqinunit: $o).
0.67/0.58	thf(decl_79, type, singletonsswitch: $o).
0.67/0.58	thf(decl_80, type, upairsetE: $o).
0.67/0.58	thf(decl_81, type, upairsetIL: $o).
0.67/0.58	thf(decl_82, type, upairsetIR: $o).
0.67/0.58	thf(decl_83, type, emptyE1: $o).
0.67/0.58	thf(decl_84, type, vacuousDall: $o).
0.67/0.58	thf(decl_85, type, quantDeMorgan1: $o).
0.67/0.58	thf(decl_86, type, quantDeMorgan2: $o).
0.67/0.58	thf(decl_87, type, quantDeMorgan3: $o).
0.67/0.58	thf(decl_88, type, quantDeMorgan4: $o).
0.67/0.58	thf(decl_89, type, prop2setI: $o).
0.67/0.58	thf(decl_91, type, prop2set2propI: $o).
0.67/0.58	thf(decl_92, type, notdexE: $o).
0.67/0.58	thf(decl_93, type, notdallE: $o).
0.67/0.58	thf(decl_94, type, exuI1: $o).
0.67/0.58	thf(decl_95, type, exuI3: $o).
0.67/0.58	thf(decl_96, type, exuI2: $o).
0.67/0.58	thf(decl_97, type, inCongP: $o).
0.67/0.58	thf(decl_98, type, in__Cong: $o).
0.67/0.58	thf(decl_99, type, exuE3u: $o).
0.67/0.58	thf(decl_100, type, exu__Cong: $o).
0.67/0.58	thf(decl_101, type, emptyset__Cong: $o).
0.67/0.58	thf(decl_102, type, setadjoin__Cong: $o).
0.67/0.58	thf(decl_103, type, powerset__Cong: $o).
0.67/0.58	thf(decl_104, type, setunion__Cong: $o).
0.67/0.58	thf(decl_105, type, omega__Cong: $o).
0.67/0.58	thf(decl_106, type, exuEu: $o).
0.67/0.58	thf(decl_107, type, descr__Cong: $o).
0.67/0.58	thf(decl_108, type, dsetconstr__Cong: $o).
0.67/0.58	thf(decl_109, type, subset: $i > $i > $o).
0.67/0.58	thf(decl_112, type, subsetI1: $o).
0.67/0.58	thf(decl_113, type, eqimpsubset2: $o).
0.67/0.58	thf(decl_114, type, eqimpsubset1: $o).
0.67/0.58	thf(decl_115, type, subsetI2: $o).
0.67/0.58	thf(decl_116, type, emptysetsubset: $o).
0.67/0.58	thf(decl_117, type, subsetE: $o).
0.67/0.58	thf(decl_118, type, subsetE2: $o).
0.67/0.58	thf(decl_119, type, notsubsetI: $o).
0.67/0.58	thf(decl_120, type, notequalI1: $o).
0.67/0.58	thf(decl_121, type, notequalI2: $o).
0.67/0.58	thf(decl_122, type, subsetRefl: $o).
0.67/0.58	thf(decl_123, type, subsetTrans: $o).
0.67/0.58	thf(decl_124, type, setadjoinSub: $o).
0.67/0.58	thf(decl_125, type, setadjoinSub2: $o).
0.67/0.58	thf(decl_126, type, subset2powerset: $o).
0.67/0.58	thf(decl_127, type, setextsub: $o).
0.67/0.58	thf(decl_128, type, subsetemptysetimpeq: $o).
0.67/0.58	thf(decl_129, type, powersetI1: $o).
0.67/0.58	thf(decl_130, type, powersetE1: $o).
0.67/0.58	thf(decl_131, type, inPowerset: $o).
0.67/0.58	thf(decl_132, type, powersetsubset: $o).
0.67/0.58	thf(decl_133, type, sepInPowerset: $o).
0.67/0.58	thf(decl_134, type, sepSubset: $o).
0.67/0.58	thf(decl_135, type, binunion: $i > $i > $i).
0.67/0.58	thf(decl_136, type, binunionIL: $o).
0.67/0.58	thf(decl_137, type, upairset2IR: $o).
0.67/0.58	thf(decl_138, type, binunionIR: $o).
0.67/0.58	thf(decl_139, type, binunionEcases: $o).
0.67/0.58	thf(decl_140, type, binunionE: $o).
0.67/0.58	thf(decl_141, type, binunionLsub: $o).
0.67/0.58	thf(decl_142, type, binunionRsub: $o).
0.67/0.58	thf(decl_143, type, binintersect: $i > $i > $i).
0.67/0.58	thf(decl_144, type, binintersectI: $o).
0.67/0.58	thf(decl_145, type, binintersectSubset5: $o).
0.67/0.58	thf(decl_146, type, binintersectEL: $o).
0.67/0.58	thf(decl_147, type, binintersectLsub: $o).
0.67/0.58	thf(decl_148, type, binintersectSubset2: $o).
0.67/0.58	thf(decl_149, type, binintersectSubset3: $o).
0.67/0.58	thf(decl_150, type, binintersectER: $o).
0.67/0.58	thf(decl_151, type, disjointsetsI1: $o).
0.67/0.58	thf(decl_152, type, binintersectRsub: $o).
0.67/0.58	thf(decl_153, type, binintersectSubset4: $o).
0.67/0.58	thf(decl_154, type, binintersectSubset1: $o).
0.67/0.58	thf(decl_155, type, bs114d: $o).
0.67/0.58	thf(decl_157, type, setminus: $i > $i > $i).
0.67/0.58	thf(decl_158, type, setminusI: $o).
0.67/0.58	thf(decl_159, type, setminusEL: $o).
0.67/0.58	thf(decl_160, type, setminusER: $o).
0.67/0.58	thf(decl_161, type, setminusSubset2: $o).
0.67/0.58	thf(decl_162, type, setminusERneg: $o).
0.67/0.58	thf(decl_163, type, setminusELneg: $o).
0.67/0.58	thf(decl_164, type, setminusILneg: $o).
0.67/0.58	thf(decl_165, type, setminusIRneg: $o).
0.67/0.58	thf(decl_166, type, setminusLsub: $o).
0.67/0.58	thf(decl_167, type, setminusSubset1: $o).
0.67/0.58	thf(decl_168, type, symdiff: $i > $i > $i).
0.67/0.58	thf(decl_169, type, symdiffE: $o).
0.67/0.58	thf(decl_170, type, symdiffI1: $o).
0.67/0.58	thf(decl_171, type, symdiffI2: $o).
0.67/0.58	thf(decl_172, type, symdiffIneg1: $o).
0.67/0.58	thf(decl_173, type, symdiffIneg2: $o).
0.67/0.58	thf(decl_174, type, iskpair: $i > $o).
0.67/0.58	thf(decl_175, type, secondinupair: $o).
0.67/0.58	thf(decl_176, type, setukpairIL: $o).
0.67/0.58	thf(decl_177, type, setukpairIR: $o).
0.67/0.58	thf(decl_178, type, kpairiskpair: $o).
0.67/0.58	thf(decl_179, type, kpair: $i > $i > $i).
0.67/0.58	thf(decl_180, type, kpairp: $o).
0.67/0.58	thf(decl_181, type, cartprod: $i > $i > $i).
0.67/0.58	thf(decl_182, type, singletonsubset: $o).
0.67/0.58	thf(decl_183, type, singletoninpowerset: $o).
0.67/0.58	thf(decl_184, type, singletoninpowunion: $o).
0.67/0.58	thf(decl_185, type, upairset2E: $o).
0.67/0.58	thf(decl_186, type, upairsubunion: $o).
0.67/0.58	thf(decl_187, type, upairinpowunion: $o).
0.67/0.58	thf(decl_188, type, ubforcartprodlem1: $o).
0.67/0.58	thf(decl_189, type, ubforcartprodlem2: $o).
0.67/0.58	thf(decl_190, type, ubforcartprodlem3: $o).
0.67/0.58	thf(decl_191, type, cartprodpairin: $o).
0.67/0.58	thf(decl_192, type, cartprodmempair1: $o).
0.67/0.58	thf(decl_193, type, cartprodmempair: $o).
0.67/0.58	thf(decl_194, type, setunionE2: $o).
0.67/0.58	thf(decl_195, type, setunionsingleton1: $o).
0.67/0.58	thf(decl_196, type, setunionsingleton2: $o).
0.67/0.58	thf(decl_197, type, setunionsingleton: $o).
0.67/0.58	thf(decl_198, type, singleton: $i > $o).
0.67/0.58	thf(decl_199, type, singletonprop: $o).
0.67/0.58	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
0.67/0.58	thf(decl_201, type, ex1E1: $o).
0.67/0.58	thf(decl_202, type, ex1I: $o).
0.67/0.58	thf(decl_203, type, ex1I2: $o).
0.67/0.58	thf(decl_204, type, singletonsuniq: $o).
0.67/0.58	thf(decl_209, type, setukpairinjL1: $o).
0.67/0.58	thf(decl_210, type, kfstsingleton: $o).
0.67/0.58	thf(decl_211, type, theprop: $o).
0.67/0.58	thf(decl_212, type, kfst: $i > $i).
0.67/0.58	thf(decl_213, type, kfstpairEq: $o).
0.67/0.58	thf(decl_214, type, cartprodfstin: $o).
0.67/0.58	thf(decl_215, type, setukpairinjL2: $o).
0.67/0.58	thf(decl_216, type, setukpairinjL: $o).
0.67/0.58	thf(decl_217, type, setukpairinjR11: $o).
0.67/0.58	thf(decl_218, type, setukpairinjR12: $o).
0.67/0.58	thf(decl_219, type, setukpairinjR1: $o).
0.67/0.58	thf(decl_220, type, upairequniteq: $o).
0.67/0.58	thf(decl_221, type, setukpairinjR2: $o).
0.67/0.58	thf(decl_222, type, setukpairinjR: $o).
0.67/0.58	thf(decl_223, type, ksndsingleton: $o).
0.67/0.58	thf(decl_224, type, ksnd: $i > $i).
0.67/0.58	thf(decl_225, type, ksndpairEq: $o).
0.67/0.58	thf(decl_226, type, kpairsurjEq: $o).
0.67/0.58	thf(decl_227, type, cartprodsndin: $o).
0.67/0.58	thf(decl_228, type, cartprodpairmemEL: $o).
0.67/0.58	thf(decl_229, type, epred1_0: $o).
0.67/0.58	thf(decl_230, type, esk1_2: $i > $i > $i).
0.67/0.58	thf(decl_231, type, esk2_2: $i > $i > $i).
0.67/0.58	thf(decl_232, type, esk3_2: $i > $i > $i).
0.67/0.58	thf(decl_233, type, esk4_1: $i > $i).
0.67/0.58	thf(decl_234, type, esk5_2: ($i > $i > $o) > $i > $i).
0.67/0.58	thf(decl_235, type, esk6_2: ($i > $i > $o) > $i > $i).
0.67/0.58	thf(decl_236, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
0.67/0.58	thf(decl_237, type, esk8_1: $i > $i).
0.67/0.58	thf(decl_238, type, esk9_1: ($i > $o) > $i).
0.67/0.58	thf(decl_239, type, esk10_1: ($i > $o) > $i).
0.67/0.58	thf(decl_240, type, esk11_2: $i > $i > $i).
0.67/0.58	thf(decl_241, type, esk12_2: $i > $i > $i).
0.67/0.58	thf(decl_242, type, esk13_1: $i > $i).
0.67/0.58	thf(decl_243, type, esk14_1: $i > $i).
0.67/0.58	thf(decl_244, type, esk15_1: $i > $i).
0.67/0.58	thf(decl_245, type, esk16_2: $i > $i > $i).
0.67/0.58	thf(decl_246, type, esk17_3: $i > $i > $o > $i).
0.67/0.58	thf(decl_247, type, esk18_1: ($i > $o) > $i).
0.67/0.58	thf(decl_248, type, esk19_1: $i > $i).
0.67/0.58	thf(decl_249, type, esk20_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_250, type, esk21_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_251, type, esk22_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_252, type, esk23_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_253, type, esk24_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_254, type, esk25_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_255, type, esk26_2: ($i > $o) > $i > $i).
0.67/0.58	thf(decl_256, type, esk27_1: ($i > $o) > $i).
0.67/0.58	thf(decl_257, type, esk28_1: ($i > $o) > $i).
0.67/0.58	thf(decl_258, type, esk29_2: ($i > $o) > $i > $i).
0.67/0.58	thf(decl_259, type, esk30_2: ($i > $o) > ($i > $o) > $i).
0.67/0.58	thf(decl_260, type, esk31_2: ($i > $o) > ($i > $o) > $i).
0.67/0.58	thf(decl_261, type, esk32_2: ($i > $o) > ($i > $o) > $i).
0.67/0.58	thf(decl_262, type, esk33_2: ($i > $o) > ($i > $o) > $i).
0.67/0.58	thf(decl_263, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.67/0.58	thf(decl_264, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.67/0.58	thf(decl_265, type, esk36_2: $i > $i > $i).
0.67/0.58	thf(decl_266, type, esk37_2: $i > $i > $i).
0.67/0.58	thf(decl_267, type, esk38_2: $i > $i > $i).
0.67/0.58	thf(decl_268, type, esk39_3: $i > $i > $i > $i).
0.67/0.58	thf(decl_269, type, esk40_3: $i > $i > $i > $i).
0.67/0.58	thf(decl_270, type, esk41_2: $i > $i > $i).
0.67/0.58	thf(decl_271, type, esk42_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_272, type, esk43_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_273, type, esk44_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_274, type, esk45_3: $i > ($i > $o) > $i > $i).
0.67/0.58	thf(decl_275, type, esk46_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_276, type, esk47_2: $i > ($i > $o) > $i).
0.67/0.58	thf(decl_277, type, esk48_0: $i).
0.67/0.58	thf(decl_278, type, esk49_0: $i).
0.67/0.58	thf(decl_279, type, esk50_0: $i).
0.67/0.58	thf(decl_280, type, esk51_0: $i).
0.67/0.58	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', exuI3)).
0.67/0.58	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setoftrueEq)).
0.67/0.58	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', exu__Cong)).
0.67/0.58	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', exuEu)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', exuI2)).
0.67/0.58	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', descr__Cong)).
0.67/0.58	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', exuI1)).
0.67/0.58	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', dsetconstr__Cong)).
0.67/0.58	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', exuE3e)).
0.67/0.58	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', dsetconstrER)).
0.67/0.58	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', descrp)).
0.67/0.58	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', replAx)).
0.67/0.58	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', sepInPowerset)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', exuE3u)).
0.67/0.58	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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', singletonprop)).
0.67/0.58	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', ex1I2)).
0.67/0.58	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', kfstsingleton)).
0.67/0.58	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', ksndsingleton)).
0.67/0.58	thf(ex1I, axiom, ((ex1I)<=>![X4:$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.f29rezCc0E/Vampire---4.8_3307', ex1I)).
0.67/0.58	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', ex1E1)).
0.67/0.58	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', sepSubset)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', emptyE1)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', exuE2)).
0.67/0.58	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', nonemptyI)).
0.67/0.58	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setbeta)).
0.67/0.58	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', exuE1)).
0.67/0.58	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', dsetconstrEL)).
0.67/0.58	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', dsetconstrI)).
0.67/0.58	thf(cartprodpairmemER, conjecture, (((((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((((foundationAx)=>((wellorderingAx)=>(((dsetconstrI)=>((dsetconstrEL)=>(((exuE1)=>((prop2setE)=>((((notinemptyset)=>(((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>(((nonemptyI)=>(((setadjoinIL)=>(((((((powersetI)=>((emptyinPowerset)=>(((powersetE)=>(((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((((((upairsetE)=>((upairsetIL)=>(((emptyE1)=>(((quantDeMorgan1)=>(((quantDeMorgan3)=>((quantDeMorgan4)=>((((notdexE)=>((notdallE)=>(((exuI3)=>((((in__Cong)=>((exuE3u)=>((((setadjoin__Cong)=>(((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>(((((subsetI2)=>((((subsetE2)=>((notsubsetI)=>(((notequalI2)=>(((subsetTrans)=>((setadjoinSub)=>(((subset2powerset)=>(((subsetemptysetimpeq)=>((((inPowerset)=>(((sepInPowerset)=>(((((((binunionE)=>((((((binintersectEL)=>((binintersectLsub)=>(((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((((binintersectSubset1)=>((bs114d)=>((setminusI)=>((((setminusSubset2)=>(((setminusELneg)=>((setminusILneg)=>(((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((((symdiffIneg2)=>((secondinupair)=>((((kpairiskpair)=>(((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>(((((ubforcartprodlem1)=>(((ubforcartprodlem3)=>((cartprodpairin)=>(((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((((ex1I2)=>((((kfstsingleton)=>(((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>(((setukpairinjR12)=>(((upairequniteq)=>((setukpairinjR2)=>((((ksndpairEq)=>((kpairsurjEq)=>(((cartprodpairmemEL)=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5))))<=(cartprodsndin))))<=(ksndsingleton))<=(setukpairinjR))))<=(setukpairinjR1)))<=(setukpairinjR11))))))<=(theprop)))<=(setukpairinjL1))<=(singletonsuniq)))<=(ex1I))<=(ex1E1))))))))<=(cartprodmempair1))))<=(ubforcartprodlem2)))<=(upairinpowunion))<=(upairsubunion))<=(upairset2E)))))<=(kpairp)))<=(setukpairIR))<=(setukpairIL))))<=(symdiffIneg1))<=(symdiffI2))))))<=(setminusIRneg))))<=(setminusERneg)))<=(setminusER))<=(setminusEL)))))<=(binintersectSubset4))<=(binintersectRsub)))))<=(binintersectSubset2))))<=(binintersectSubset5))<=(binintersectI))<=(binunionRsub))<=(binunionLsub)))<=(binunionEcases))<=(binunionIR))<=(upairset2IR))<=(binunionIL))<=(sepSubset)))<=(powersetsubset)))<=(powersetE1))<=(powersetI1)))<=(setextsub)))<=(setadjoinSub2))))<=(subsetRefl)))<=(notequalI1))))<=(subsetE))<=(emptysetsubset)))<=(eqimpsubset1))<=(eqimpsubset2))<=(subsetI1)))))))<=(powerset__Cong)))<=(emptyset__Cong))<=(exu__Cong))))<=(inCongP))<=(exuI2)))<=(exuI1))))<=(prop2set2propI))<=(prop2setI))))<=(quantDeMorgan2)))<=(vacuousDall)))<=(upairsetIR))))<=(singletonsswitch))<=(eqinunit))<=(notinsingleton))<=(uniqinunit))))))<=(setunionI)))<=(emptyInPowerset))))<=(setoftrueEq))<=(setadjoinOr))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty)))<=(nonemptyI1)))<=(nonemptyE1))))))<=(exuE3e)))<=(emptysetimpfalse))<=(emptysetE))))<=(dsetconstrER))))<=(descrp))))<=(replAx))<=(omegaIndAx))))))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', cartprodpairmemER)).
0.67/0.58	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setextAx)).
0.67/0.58	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', subsetE)).
0.67/0.58	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', notdallE)).
0.67/0.58	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', emptysetsubset)).
0.67/0.58	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', eqimpsubset1)).
0.67/0.58	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setunion__Cong)).
0.67/0.58	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', eqimpsubset2)).
0.67/0.58	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', subsetI1)).
0.67/0.58	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', omega__Cong)).
0.67/0.58	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', powerset__Cong)).
0.67/0.58	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', emptyset__Cong)).
0.67/0.58	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', inCongP)).
0.67/0.58	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', prop2setI)).
0.67/0.58	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', quantDeMorgan2)).
0.67/0.58	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', vacuousDall)).
0.67/0.58	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', upairsetIR)).
0.67/0.58	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', singletonsswitch)).
0.67/0.58	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', subsetI2)).
0.67/0.58	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', eqinunit)).
0.67/0.58	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', notinsingleton)).
0.67/0.58	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', uniqinunit)).
0.67/0.58	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', subsetE2)).
0.67/0.58	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setunionI)).
0.67/0.58	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', emptyInPowerset)).
0.67/0.58	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', bs114d)).
0.67/0.58	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', in__Cong)).
0.67/0.58	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setadjoinOr)).
0.67/0.58	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', notsubsetI)).
0.67/0.58	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setadjoinE)).
0.67/0.58	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setadjoinIR)).
0.67/0.58	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', emptyinunitempty)).
0.67/0.58	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', notequalI2)).
0.67/0.58	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', nonemptyI1)).
0.67/0.58	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', nonemptyE1)).
0.67/0.58	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', subsetTrans)).
0.67/0.58	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', emptysetimpfalse)).
0.67/0.58	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', emptysetE)).
0.67/0.58	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setadjoinSub)).
0.67/0.58	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', subset2powerset)).
0.67/0.58	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', omegaIndAx)).
0.67/0.58	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setadjoinAx)).
0.67/0.58	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', subsetemptysetimpeq)).
0.67/0.58	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', emptysetAx)).
0.67/0.58	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', inPowerset)).
0.67/0.58	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binunionE)).
0.67/0.58	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binintersectEL)).
0.67/0.58	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binintersectLsub)).
0.67/0.58	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binintersectSubset3)).
0.67/0.58	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binintersectER)).
0.67/0.58	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', disjointsetsI1)).
0.67/0.58	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binintersectSubset1)).
0.67/0.58	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setukpairinjR2)).
0.67/0.58	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setminusI)).
0.67/0.58	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setminusSubset2)).
0.67/0.58	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setminusELneg)).
0.67/0.58	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setminusILneg)).
0.67/0.58	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setminusLsub)).
0.67/0.58	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setminusSubset1)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', symdiffE)).
0.67/0.58	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', symdiffI1)).
0.67/0.58	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', symdiffIneg2)).
0.67/0.58	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', secondinupair)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', kpairiskpair)).
0.67/0.58	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', singletonsubset)).
0.67/0.58	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', singletoninpowerset)).
0.67/0.58	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', singletoninpowunion)).
0.67/0.58	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', ubforcartprodlem1)).
0.67/0.58	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', ubforcartprodlem3)).
0.67/0.58	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', cartprodpairin)).
0.67/0.58	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', cartprodmempair)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', setadjoin__Cong)).
0.67/0.58	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setunionE2)).
0.67/0.58	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setunionsingleton1)).
0.67/0.58	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setunionsingleton2)).
0.67/0.58	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setunionsingleton)).
0.67/0.58	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', kfstpairEq)).
0.67/0.58	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', cartprodfstin)).
0.67/0.58	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setukpairinjL2)).
0.67/0.58	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setukpairinjL)).
0.67/0.58	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setukpairinjR12)).
0.67/0.58	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', upairequniteq)).
0.67/0.58	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', ksndpairEq)).
0.67/0.58	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', kpairsurjEq)).
0.67/0.58	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', cartprodpairmemEL)).
0.67/0.58	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', cartprodsndin)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', setukpairinjR)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', setukpairinjR1)).
0.67/0.58	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setukpairinjR11)).
0.67/0.58	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', theprop)).
0.67/0.58	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$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.f29rezCc0E/Vampire---4.8_3307', setukpairinjL1)).
0.67/0.58	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', singletonsuniq)).
0.67/0.58	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', cartprodmempair1)).
0.67/0.58	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', ubforcartprodlem2)).
0.67/0.58	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', upairinpowunion)).
0.67/0.58	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', upairsubunion)).
0.67/0.58	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', upairset2E)).
0.67/0.58	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', kpairp)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', setukpairIR)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', setukpairIL)).
0.67/0.58	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', symdiffIneg1)).
0.67/0.58	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', symdiffI2)).
0.67/0.58	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setminusIRneg)).
0.67/0.58	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setminusERneg)).
0.67/0.58	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setminusER)).
0.67/0.58	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setminusEL)).
0.67/0.58	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binintersectSubset4)).
0.67/0.58	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binintersectRsub)).
0.67/0.58	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binintersectSubset2)).
0.67/0.58	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binintersectSubset5)).
0.67/0.58	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binintersectI)).
0.67/0.58	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binunionRsub)).
0.67/0.58	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binunionLsub)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', binunionEcases)).
0.67/0.58	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binunionIR)).
0.67/0.58	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', upairset2IR)).
0.67/0.58	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', binunionIL)).
0.67/0.58	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', powersetsubset)).
0.67/0.58	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', powersetE1)).
0.67/0.58	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', powersetI1)).
0.67/0.58	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setextsub)).
0.67/0.58	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setadjoinSub2)).
0.67/0.58	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', subsetRefl)).
0.67/0.58	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', notequalI1)).
0.67/0.58	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', notdexE)).
0.67/0.58	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', quantDeMorgan4)).
0.67/0.58	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', quantDeMorgan3)).
0.67/0.58	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', quantDeMorgan1)).
0.67/0.58	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', upairsetIL)).
0.67/0.58	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', upairsetE)).
0.67/0.58	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', nonemptyImpWitness)).
0.67/0.58	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', subPowSU)).
0.67/0.58	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setunionE)).
0.67/0.58	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', powersetE)).
0.67/0.58	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', emptyinPowerset)).
0.67/0.58	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', powersetI)).
0.67/0.58	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setadjoinIL)).
0.67/0.58	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', noeltsimpempty)).
0.67/0.58	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', emptyI)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', setext)).
0.67/0.58	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', notinemptyset)).
0.67/0.58	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', prop2setE)).
0.67/0.58	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.f29rezCc0E/Vampire---4.8_3307', wellorderingAx)).
0.67/0.58	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.f29rezCc0E/Vampire---4.8_3307', foundationAx)).
0.67/0.58	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', omegaSAx)).
0.67/0.58	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', omega0Ax)).
0.67/0.58	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', setunionAx)).
0.67/0.58	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.f29rezCc0E/Vampire---4.8_3307', powersetAx)).
0.67/0.58	thf(c_0_176, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.67/0.58	thf(c_0_177, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.67/0.58	thf(c_0_178, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.67/0.58	thf(c_0_179, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.67/0.58	thf(c_0_180, 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])).
0.67/0.58	thf(c_0_181, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.67/0.58	thf(c_0_182, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.67/0.58	thf(c_0_183, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.67/0.58	thf(c_0_184, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.67/0.58	thf(c_0_185, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.67/0.58	thf(c_0_186, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.67/0.58	thf(c_0_187, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.67/0.58	thf(c_0_188, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.67/0.58	thf(c_0_189, 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])).
0.67/0.58	thf(c_0_190, 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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
0.67/0.58	thf(c_0_191, plain, ((ex1I2)<=>![X4:$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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
0.67/0.58	thf(c_0_192, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
0.67/0.58	thf(c_0_193, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
0.67/0.58	thf(c_0_194, plain, ((ex1I)<=>![X4:$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])).
0.67/0.58	thf(c_0_195, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
0.67/0.58	thf(c_0_196, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.67/0.58	thf(c_0_197, 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])).
0.67/0.58	thf(c_0_198, 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])).
0.67/0.58	thf(c_0_199, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.67/0.58	thf(c_0_200, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.67/0.58	thf(c_0_201, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.67/0.58	thf(c_0_202, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.67/0.58	thf(c_0_203, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.67/0.58	thf(c_0_204, plain, ((epred1_0)<=>![X515:$i]:(?[X516:$i]:((((![X517:$i]:(((in @ X517 @ X516)=>![X518:$i]:(((in @ X518 @ X517)=>(in @ X518 @ X515)))))&![X519:$i, X520:$i]:((((in @ X519 @ X515)&(in @ X520 @ X515))=>(![X521:$i]:(((in @ X521 @ X516)=>((in @ X519 @ X521)<=>(in @ X520 @ X521))))=>((X519)=(X520))))))&![X522:$i, X523:$i]:((((in @ X522 @ X516)&(in @ X523 @ X516))=>(![X524:$i]:(((in @ X524 @ X522)=>(in @ X524 @ X523)))|![X525:$i]:(((in @ X525 @ X523)=>(in @ X525 @ X522)))))))&![X526:$i]:(((![X527:$i]:(((in @ X527 @ X526)=>(in @ X527 @ X515)))&?[X528:$i]:((in @ X528 @ X526)))=>?[X529:$i, X530:$i]:(((((in @ X529 @ X516)&(in @ X530 @ X526))&~(?[X531:$i]:(((in @ X531 @ X529)&(in @ X531 @ X526)))))&![X532:$i]:(((in @ X532 @ X516)=>(![X533:$i]:(((in @ X533 @ X532)=>(in @ X533 @ X529)))|(in @ X530 @ X532)))))))))))), introduced(definition)).
0.67/0.58	thf(c_0_205, negated_conjecture, ~((![X979:$i, X980:$i]:((![X981:$i]:(((in @ X981 @ X979)<=>(in @ X981 @ X980)))=>((X979)=(X980))))=>(![X978:$i]:(~(in @ X978 @ emptyset))=>(![X975:$i, X976:$i, X977:$i]:(((in @ X977 @ (setadjoin @ X975 @ X976))<=>(((X977)=(X975))|(in @ X977 @ X976))))=>(![X504:$i, X505:$i]:(((in @ X505 @ (powerset @ X504))<=>![X506:$i]:(((in @ X506 @ X505)=>(in @ X506 @ X504)))))=>(![X507:$i, X508:$i]:(((in @ X508 @ (setunion @ X507))<=>?[X509:$i]:(((in @ X508 @ X509)&(in @ X509 @ X507)))))=>((in @ emptyset @ omega)=>(![X510:$i]:(((in @ X510 @ omega)=>(in @ (setadjoin @ X510 @ X510) @ omega)))=>(![X972:$i]:((((in @ emptyset @ X972)&![X973:$i]:((((in @ X973 @ omega)&(in @ X973 @ X972))=>(in @ (setadjoin @ X973 @ X973) @ X972))))=>![X974:$i]:(((in @ X974 @ omega)=>(in @ X974 @ X972)))))=>(![X966:$i > $i > $o, X967:$i]:((![X968:$i]:(((in @ X968 @ X967)=>(exu @ (^[Z0/* 3 */:$i]:((X966 @ X968 @ Z0))))))=>?[X969:$i]:(![X970:$i]:(((in @ X970 @ X969)<=>?[X971:$i]:(((in @ X971 @ X967)&(X966 @ X971 @ X970))))))))=>(![X511:$i]:((?[X512:$i]:((in @ X512 @ X511))=>?[X513:$i]:(((in @ X513 @ X511)&~(?[X514:$i]:(((in @ X514 @ X513)&(in @ X514 @ X511))))))))=>((epred1_0)=>(![X965:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X965 @ Z0))))=>(X965 @ (descr @ (^[Z0/* 3 */:$i]:((X965 @ Z0)))))))=>(![X534:$i, X535:$i > $o, X536:$i]:(((in @ X536 @ X534)=>((X535 @ X536)=>(in @ X536 @ (dsetconstr @ X534 @ (^[Z0/* 3 */:$i]:((X535 @ Z0))))))))=>(![X537:$i, X538:$i > $o, X539:$i]:(((in @ X539 @ (dsetconstr @ X537 @ (^[Z0/* 3 */:$i]:((X538 @ Z0)))))=>(in @ X539 @ X537)))=>(![X962:$i, X963:$i > $o, X964:$i]:(((in @ X964 @ (dsetconstr @ X962 @ (^[Z0/* 3 */:$i]:((X963 @ Z0)))))=>(X963 @ X964)))=>(![X540:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X540 @ Z0))))=>?[X541:$i]:(((X540 @ X541)&![X542:$i]:(((X540 @ X542)=>((X541)=(X542))))))))=>(![X543:$o, X544:$i]:(((in @ X544 @ (prop2set @ ((X543))))=>(X543)))=>(![X960:$i]:(((in @ X960 @ emptyset)=>![X961:$o]:((X961))))=>(![X959:$i]:(~(in @ X959 @ emptyset))=>(![X545:$i]:(~(in @ X545 @ emptyset))=>(![X957:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X957 @ Z0))))=>?[X958:$i]:((X957 @ X958))))=>(![X546:$i, X547:$i]:((![X548:$i]:(((in @ X548 @ X546)=>(in @ X548 @ X547)))=>(![X549:$i]:(((in @ X549 @ X547)=>(in @ X549 @ X546)))=>((X546)=(X547)))))=>(![X550:$i]:((![X551:$i]:(~(in @ X551 @ X550))=>((X550)=(emptyset))))=>(![X552:$i]:((![X553:$i]:(~(in @ X553 @ X552))=>((X552)=(emptyset))))=>(![X554:$i, X555:$i > $o, X556:$i]:(((in @ X556 @ X554)=>((in @ X556 @ (dsetconstr @ X554 @ (^[Z0/* 3 */:$i]:((X555 @ Z0)))))<=>(X555 @ X556))))=>(![X955:$i]:(((nonempty @ X955)=>?[X956:$i]:((in @ X956 @ X955))))=>(![X557:$i, X558:$i > $o, X559:$i]:(((in @ X559 @ X557)=>((X558 @ X559)=>(nonempty @ (dsetconstr @ X557 @ (^[Z0/* 3 */:$i]:((X558 @ Z0))))))))=>(![X953:$i]:((?[X954:$i]:((in @ X954 @ X953))=>(nonempty @ X953)))=>(![X560:$i, X561:$i]:((in @ X560 @ (setadjoin @ X560 @ X561)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X950:$i, X951:$i, X952:$i]:(((in @ X952 @ X951)=>(in @ X952 @ (setadjoin @ X950 @ X951))))=>(![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:$i]:(((in @ X945 @ (setadjoin @ X943 @ X944))=>(((X945)=(X943))|(in @ X945 @ X944))))=>(![X942:$i]:(((dsetconstr @ X942 @ (^[Z0/* 3 */:$i]:(($true))))=(X942)))=>(![X562:$i, X563:$i]:((![X564:$i]:(((in @ X564 @ X563)=>(in @ X564 @ X562)))=>(in @ X563 @ (powerset @ X562))))=>(![X565:$i]:((in @ emptyset @ (powerset @ X565)))=>(![X941:$i]:((in @ emptyset @ (powerset @ X941)))=>(![X566:$i, X567:$i, X568:$i]:(((in @ X567 @ (powerset @ X566))=>((in @ X568 @ X567)=>(in @ X568 @ X566))))=>(![X938:$i, X939:$i, X940:$i]:(((in @ X939 @ X940)=>((in @ X940 @ X938)=>(in @ X939 @ (setunion @ X938)))))=>(![X569:$i, X570:$i]:(((in @ X570 @ (setunion @ X569))=>![X571:$o]:((![X572:$i]:(((in @ X570 @ X572)=>((in @ X572 @ X569)=>(X571))))=>(X571)))))=>(![X573:$i, X574:$i]:(((in @ X574 @ X573)=>(in @ X574 @ (powerset @ (setunion @ X573)))))=>(![X575:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X575 @ Z0))))=>?[X576:$i]:(![X577:$i]:(((X575 @ X577)<=>((X577)=(X576)))))))=>(![X578:$i]:(((nonempty @ X578)=>?[X579:$i]:((in @ X579 @ X578))))=>(![X936:$i, X937:$i]:(((in @ X936 @ (setadjoin @ X937 @ emptyset))=>((X936)=(X937))))=>(![X934:$i, X935:$i]:((((X934)!=(X935))=>~(in @ X935 @ (setadjoin @ X934 @ emptyset))))=>(![X932:$i, X933:$i]:((((X932)=(X933))=>(in @ X932 @ (setadjoin @ X933 @ emptyset))))=>(![X930:$i, X931:$i]:(((in @ X930 @ (setadjoin @ X931 @ emptyset))=>(in @ X931 @ (setadjoin @ X930 @ emptyset))))=>(![X580:$i, X581:$i, X582:$i]:(((in @ X582 @ (setadjoin @ X580 @ (setadjoin @ X581 @ emptyset)))=>(((X582)=(X580))|((X582)=(X581)))))=>(![X583:$i, X584:$i]:((in @ X583 @ (setadjoin @ X583 @ (setadjoin @ X584 @ emptyset))))=>(![X928:$i, X929:$i]:((in @ X929 @ (setadjoin @ X928 @ (setadjoin @ X929 @ emptyset))))=>(![X585:$i, X586:$i > $o]:((?[X587:$i]:(((in @ X587 @ X585)&(X586 @ X587)))=>((dsetconstr @ X585 @ (^[Z0/* 3 */:$i]:((X586 @ Z0))))!=(emptyset))))=>(![X926:$i > $o, X927:$i]:(((in @ X927 @ emptyset)=>(X926 @ X927)))=>(![X588:$i, X589:$i > $o]:((~(![X590:$i]:(((in @ X590 @ X588)=>(X589 @ X590))))=>?[X591:$i]:(((in @ X591 @ X588)&~(X589 @ X591)))))=>(![X922:$i, X923:$i > $o]:((![X924:$i]:(((in @ X924 @ X922)=>~(X923 @ X924)))=>~(?[X925:$i]:(((in @ X925 @ X922)&(X923 @ X925))))))=>(![X592:$i, X593:$i > $o]:((~(?[X594:$i]:(((in @ X594 @ X592)&(X593 @ X594))))=>![X595:$i]:(((in @ X595 @ X592)=>~(X593 @ X595)))))=>(![X596:$i, X597:$i > $o]:((?[X598:$i]:(((in @ X598 @ X596)&~(X597 @ X598)))=>~(![X599:$i]:(((in @ X599 @ X596)=>(X597 @ X599))))))=>(![X921:$o]:(((X921)=>(in @ emptyset @ (prop2set @ ((X921))))))=>((prop2set2propI)=>(![X600:$i, X601:$i > $o]:((~(?[X602:$i]:(((in @ X602 @ X600)&(X601 @ X602))))=>![X603:$i]:(((in @ X603 @ X600)=>~(X601 @ X603)))))=>(![X604:$i, X605:$i > $o]:((~(![X606:$i]:(((in @ X606 @ X604)=>(X605 @ X606))))=>?[X607:$i]:(((in @ X607 @ X604)&~(X605 @ X607)))))=>(![X918:$i > $o]:((?[X919:$i]:(((X918 @ X919)&![X920:$i]:(((X918 @ X920)=>((X919)=(X920))))))=>(exu @ (^[Z0/* 3 */:$i]:((X918 @ Z0))))))=>(![X608:$i > $o]:((?[X609:$i]:((X608 @ X609))=>(![X610:$i, X611:$i]:(((X608 @ X610)=>((X608 @ X611)=>((X610)=(X611)))))=>(exu @ (^[Z0/* 3 */:$i]:((X608 @ Z0)))))))=>(![X915:$i > $o]:((?[X916:$i]:(![X917:$i]:(((X915 @ X917)<=>((X917)=(X916)))))=>(exu @ (^[Z0/* 3 */:$i]:((X915 @ Z0))))))=>(![X911:$i, X912:$i]:((((X911)=(X912))=>![X913:$i, X914:$i]:((((X913)=(X914))=>((in @ X913 @ X911)=>(in @ X914 @ X912))))))=>(![X612:$i, X613:$i]:((((X612)=(X613))=>![X614:$i, X615:$i]:((((X614)=(X615))=>((in @ X614 @ X612)<=>(in @ X615 @ X613))))))=>(![X616:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X616 @ Z0))))=>![X617:$i, X618:$i]:(((X616 @ X617)=>((X616 @ X618)=>((X617)=(X618)))))))=>(![X907:$i > $o, X908:$i > $o]:((![X909:$i, X910:$i]:((((X909)=(X910))=>((X907 @ X909)<=>(X908 @ X910))))=>((exu @ (^[Z0/* 3 */:$i]:((X907 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X908 @ Z0)))))))=>(((emptyset)=(emptyset))=>(![X619:$i, X620:$i]:((((X619)=(X620))=>![X621:$i, X622:$i]:((((X621)=(X622))=>((setadjoin @ X619 @ X621)=(setadjoin @ X620 @ X622))))))=>(![X905:$i, X906:$i]:((((X905)=(X906))=>((powerset @ X905)=(powerset @ X906))))=>(![X623:$i, X624:$i]:((((X623)=(X624))=>((setunion @ X623)=(setunion @ X624))))=>(((omega)=(omega))=>(![X625:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X625 @ Z0))))=>![X626:$i, X627:$i]:(((X625 @ X626)=>((X625 @ X627)=>((X626)=(X627)))))))=>(![X628:$i > $o, X629:$i > $o]:((![X630:$i, X631:$i]:((((X630)=(X631))=>((X628 @ X630)<=>(X629 @ X631))))=>((exu @ (^[Z0/* 3 */:$i]:((X628 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X629 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X628 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X629 @ Z0)))))))))=>(![X632:$i, X633:$i]:((((X632)=(X633))=>![X634:$i > $o, X635:$i > $o]:((![X636:$i]:(((in @ X636 @ X632)=>![X637:$i]:(((in @ X637 @ X633)=>(((X636)=(X637))=>((X634 @ X636)<=>(X635 @ X637)))))))=>((dsetconstr @ X632 @ (^[Z0/* 3 */:$i]:((X634 @ Z0))))=(dsetconstr @ X633 @ (^[Z0/* 3 */:$i]:((X635 @ Z0)))))))))=>(![X902:$i, X903:$i]:((![X904:$i]:(((in @ X904 @ X902)=>(in @ X904 @ X903)))=>(subset @ X902 @ X903)))=>(![X900:$i, X901:$i]:((((X900)=(X901))=>(subset @ X901 @ X900)))=>(![X898:$i, X899:$i]:((((X898)=(X899))=>(subset @ X898 @ X899)))=>(![X638:$i, X639:$i]:((![X640:$i]:(((in @ X640 @ X638)=>(in @ X640 @ X639)))=>(subset @ X638 @ X639)))=>(![X897:$i]:((subset @ emptyset @ X897))=>(![X894:$i, X895:$i, X896:$i]:(((subset @ X894 @ X895)=>((in @ X896 @ X894)=>(in @ X896 @ X895))))=>(![X641:$i, X642:$i, X643:$i]:(((subset @ X641 @ X642)=>(~(in @ X643 @ X642)=>~(in @ X643 @ X641))))=>(![X644:$i, X645:$i, X646:$i]:(((in @ X646 @ X644)=>(~(in @ X646 @ X645)=>~(subset @ X644 @ X645))))=>(![X892:$i, X893:$i]:((~(subset @ X892 @ X893)=>((X892)!=(X893))))=>(![X647:$i, X648:$i, X649:$i]:(((in @ X649 @ X647)=>(~(in @ X649 @ X648)=>((X647)!=(X648)))))=>(![X891:$i]:((subset @ X891 @ X891))=>(![X650:$i, X651:$i, X652:$i]:(((subset @ X650 @ X651)=>((subset @ X651 @ X652)=>(subset @ X650 @ X652))))=>(![X653:$i, X654:$i]:((subset @ X654 @ (setadjoin @ X653 @ X654)))=>(![X888:$i, X889:$i, X890:$i]:(((subset @ X888 @ X890)=>(subset @ X888 @ (setadjoin @ X889 @ X890))))=>(![X655:$i, X656:$i]:(((subset @ X655 @ X656)=>(in @ X655 @ (powerset @ X656))))=>(![X886:$i, X887:$i]:(((subset @ X886 @ X887)=>((subset @ X887 @ X886)=>((X886)=(X887)))))=>(![X657:$i]:(((subset @ X657 @ emptyset)=>((X657)=(emptyset))))=>(![X884:$i, X885:$i]:(((subset @ X885 @ X884)=>(in @ X885 @ (powerset @ X884))))=>(![X882:$i, X883:$i]:(((in @ X883 @ (powerset @ X882))=>(subset @ X883 @ X882)))=>(![X658:$i]:((in @ X658 @ (powerset @ X658)))=>(![X880:$i, X881:$i]:(((subset @ X880 @ X881)=>(subset @ (powerset @ X880) @ (powerset @ X881))))=>(![X659:$i, X660:$i > $o]:((in @ (dsetconstr @ X659 @ (^[Z0/* 3 */:$i]:((X660 @ Z0)))) @ (powerset @ X659)))=>(![X878:$i, X879:$i > $o]:((subset @ (dsetconstr @ X878 @ (^[Z0/* 3 */:$i]:((X879 @ Z0)))) @ X878))=>(![X875:$i, X876:$i, X877:$i]:(((in @ X877 @ X875)=>(in @ X877 @ (binunion @ X875 @ X876))))=>(![X873:$i, X874:$i]:((in @ X874 @ (setadjoin @ X873 @ (setadjoin @ X874 @ emptyset))))=>(![X870:$i, X871:$i, X872:$i]:(((in @ X872 @ X871)=>(in @ X872 @ (binunion @ X870 @ X871))))=>(![X866:$i, X867:$i, X868:$i, X869:$o]:(((in @ X868 @ (binunion @ X866 @ X867))=>(((in @ X868 @ X866)=>(X869))=>(((in @ X868 @ X867)=>(X869))=>(X869)))))=>(![X661:$i, X662:$i, X663:$i]:(((in @ X663 @ (binunion @ X661 @ X662))=>((in @ X663 @ X661)|(in @ X663 @ X662))))=>(![X864:$i, X865:$i]:((subset @ X864 @ (binunion @ X864 @ X865)))=>(![X862:$i, X863:$i]:((subset @ X863 @ (binunion @ X862 @ X863)))=>(![X859:$i, X860:$i, X861:$i]:(((in @ X861 @ X859)=>((in @ X861 @ X860)=>(in @ X861 @ (binintersect @ X859 @ X860)))))=>(![X856:$i, X857:$i, X858:$i]:(((subset @ X858 @ X856)=>((subset @ X858 @ X857)=>(subset @ X858 @ (binintersect @ X856 @ X857)))))=>(![X664:$i, X665:$i, X666:$i]:(((in @ X666 @ (binintersect @ X664 @ X665))=>(in @ X666 @ X664)))=>(![X667:$i, X668:$i]:((subset @ (binintersect @ X667 @ X668) @ X667))=>(![X854:$i, X855:$i]:(((subset @ X854 @ X855)=>((binintersect @ X854 @ X855)=(X854))))=>(![X669:$i, X670:$i]:((((binintersect @ X669 @ X670)=(X670))=>(subset @ X670 @ X669)))=>(![X671:$i, X672:$i, X673:$i]:(((in @ X673 @ (binintersect @ X671 @ X672))=>(in @ X673 @ X672)))=>(![X674:$i, X675:$i]:((~(?[X676:$i]:(((in @ X676 @ X674)&(in @ X676 @ X675))))=>((binintersect @ X674 @ X675)=(emptyset))))=>(![X852:$i, X853:$i]:((subset @ (binintersect @ X852 @ X853) @ X853))=>(![X850:$i, X851:$i]:(((subset @ X851 @ X850)=>((binintersect @ X850 @ X851)=(X851))))=>(![X677:$i, X678:$i]:((((binintersect @ X677 @ X678)=(X677))=>(subset @ X677 @ X678)))=>(![X679:$i, X680:$i, X681:$i]:(((binintersect @ X679 @ (binunion @ X680 @ X681))=(binunion @ (binintersect @ X679 @ X680) @ (binintersect @ X679 @ X681))))=>(![X682:$i, X683:$i, X684:$i]:(((in @ X684 @ X682)=>(~(in @ X684 @ X683)=>(in @ X684 @ (setminus @ X682 @ X683)))))=>(![X847:$i, X848:$i, X849:$i]:(((in @ X849 @ (setminus @ X847 @ X848))=>(in @ X849 @ X847)))=>(![X844:$i, X845:$i, X846:$i]:(((in @ X846 @ (setminus @ X844 @ X845))=>~(in @ X846 @ X845)))=>(![X685:$i, X686:$i]:(((subset @ X685 @ X686)=>((setminus @ X685 @ X686)=(emptyset))))=>(![X841:$i, X842:$i, X843:$i]:((~(in @ X843 @ (setminus @ X841 @ X842))=>((in @ X843 @ X841)=>(in @ X843 @ X842))))=>(![X687:$i, X688:$i, X689:$i]:((~(in @ X689 @ (setminus @ X687 @ X688))=>(~(in @ X689 @ X688)=>~(in @ X689 @ X687))))=>(![X690:$i, X691:$i, X692:$i]:((~(in @ X692 @ X690)=>~(in @ X692 @ (setminus @ X690 @ X691))))=>(![X838:$i, X839:$i, X840:$i]:(((in @ X840 @ X839)=>~(in @ X840 @ (setminus @ X838 @ X839))))=>(![X693:$i, X694:$i]:((subset @ (setminus @ X693 @ X694) @ X693))=>(![X695:$i, X696:$i]:((((setminus @ X695 @ X696)=(emptyset))=>(subset @ X695 @ X696)))=>(![X697:$i, X698:$i, X699:$i]:(((in @ X699 @ (symdiff @ X697 @ X698))=>![X700:$o]:((((in @ X699 @ X697)=>(~(in @ X699 @ X698)=>(X700)))=>((~(in @ X699 @ X697)=>((in @ X699 @ X698)=>(X700)))=>(X700))))))=>(![X701:$i, X702:$i, X703:$i]:(((in @ X703 @ X701)=>(~(in @ X703 @ X702)=>(in @ X703 @ (symdiff @ X701 @ X702)))))=>(![X835:$i, X836:$i, X837:$i]:((~(in @ X837 @ X835)=>((in @ X837 @ X836)=>(in @ X837 @ (symdiff @ X835 @ X836)))))=>(![X832:$i, X833:$i, X834:$i]:(((in @ X834 @ X832)=>((in @ X834 @ X833)=>~(in @ X834 @ (symdiff @ X832 @ X833)))))=>(![X704:$i, X705:$i, X706:$i]:((~(in @ X706 @ X704)=>(~(in @ X706 @ X705)=>~(in @ X706 @ (symdiff @ X704 @ X705)))))=>(![X707:$i, X708:$i]:((in @ X708 @ (setadjoin @ X707 @ (setadjoin @ X708 @ emptyset))))=>(![X830:$i, X831:$i]:((in @ X830 @ (setunion @ (setadjoin @ (setadjoin @ X830 @ emptyset) @ (setadjoin @ (setadjoin @ X830 @ (setadjoin @ X831 @ emptyset)) @ emptyset)))))=>(![X828:$i, X829:$i]:((in @ X829 @ (setunion @ (setadjoin @ (setadjoin @ X828 @ emptyset) @ (setadjoin @ (setadjoin @ X828 @ (setadjoin @ X829 @ emptyset)) @ emptyset)))))=>(![X709:$i, X710:$i]:((iskpair @ (setadjoin @ (setadjoin @ X709 @ emptyset) @ (setadjoin @ (setadjoin @ X709 @ (setadjoin @ X710 @ emptyset)) @ emptyset))))=>(![X826:$i, X827:$i]:((iskpair @ (kpair @ X826 @ X827)))=>(![X711:$i, X712:$i]:(((in @ X712 @ X711)=>(subset @ (setadjoin @ X712 @ emptyset) @ X711)))=>(![X713:$i, X714:$i]:(((in @ X714 @ X713)=>(in @ (setadjoin @ X714 @ emptyset) @ (powerset @ X713))))=>(![X715:$i, X716:$i, X717:$i]:(((in @ X717 @ X715)=>(in @ (setadjoin @ X717 @ emptyset) @ (powerset @ (binunion @ X715 @ X716)))))=>(![X823:$i, X824:$i, X825:$i]:(((in @ X825 @ (setadjoin @ X823 @ (setadjoin @ X824 @ emptyset)))=>(((X825)=(X823))|((X825)=(X824)))))=>(![X819:$i, X820:$i, X821:$i]:(((in @ X821 @ X819)=>![X822:$i]:(((in @ X822 @ X820)=>(subset @ (setadjoin @ X821 @ (setadjoin @ X822 @ emptyset)) @ (binunion @ X819 @ X820))))))=>(![X815:$i, X816:$i, X817:$i]:(((in @ X817 @ X815)=>![X818:$i]:(((in @ X818 @ X816)=>(in @ (setadjoin @ X817 @ (setadjoin @ X818 @ emptyset)) @ (powerset @ (binunion @ X815 @ X816)))))))=>(![X718:$i, X719:$i, X720:$i]:(((in @ X720 @ X718)=>![X721:$i]:(((in @ X721 @ X719)=>(subset @ (setadjoin @ (setadjoin @ X720 @ emptyset) @ (setadjoin @ (setadjoin @ X720 @ (setadjoin @ X721 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X718 @ X719)))))))=>(![X811:$i, X812:$i, X813:$i]:(((in @ X813 @ X811)=>![X814:$i]:(((in @ X814 @ X812)=>(in @ (setadjoin @ (setadjoin @ X813 @ emptyset) @ (setadjoin @ (setadjoin @ X813 @ (setadjoin @ X814 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X811 @ X812))))))))=>(![X722:$i, X723:$i, X724:$i]:(((in @ X724 @ X722)=>![X725:$i]:(((in @ X725 @ X723)=>(in @ (kpair @ X724 @ X725) @ (powerset @ (powerset @ (binunion @ X722 @ X723))))))))=>(![X726:$i, X727:$i, X728:$i]:(((in @ X728 @ X726)=>![X729:$i]:(((in @ X729 @ X727)=>(in @ (kpair @ X728 @ X729) @ (cartprod @ X726 @ X727))))))=>(![X806:$i, X807:$i, X808:$i]:(((in @ X808 @ (cartprod @ X806 @ X807))=>?[X809:$i]:(((in @ X809 @ X806)&?[X810:$i]:(((in @ X810 @ X807)&((X808)=(kpair @ X809 @ X810))))))))=>(![X730:$i, X731:$i, X732:$i]:(((in @ X732 @ (cartprod @ X730 @ X731))=>(iskpair @ X732)))=>(![X733:$i, X734:$i]:(((in @ X734 @ (setunion @ X733))=>?[X735:$i]:(((in @ X735 @ X733)&(in @ X734 @ X735)))))=>(![X736:$i]:((subset @ (setunion @ (setadjoin @ X736 @ emptyset)) @ X736))=>(![X737:$i]:((subset @ X737 @ (setunion @ (setadjoin @ X737 @ emptyset))))=>(![X738:$i]:(((setunion @ (setadjoin @ X738 @ emptyset))=(X738)))=>(![X739:$i, X740:$i > $o]:((![X741:$i]:(((in @ X741 @ X739)=>![X742:$i]:(((in @ X742 @ X739)=>((X740 @ X741)=>((X740 @ X742)=>((X741)=(X742))))))))=>(?[X743:$i]:(((in @ X743 @ X739)&(X740 @ X743)))=>(singleton @ (dsetconstr @ X739 @ (^[Z0/* 3 */:$i]:((X740 @ Z0))))))))=>(![X803:$i, X804:$i > $o]:(((ex1 @ X803 @ (^[Z0/* 3 */:$i]:((X804 @ Z0))))=>?[X805:$i]:(((in @ X805 @ X803)&(X804 @ X805)))))=>(![X799:$i, X800:$i > $o, X801:$i]:(((in @ X801 @ X799)=>((X800 @ X801)=>(![X802:$i]:(((in @ X802 @ X799)=>((X800 @ X802)=>((X802)=(X801)))))=>(ex1 @ X799 @ (^[Z0/* 3 */:$i]:((X800 @ Z0))))))))=>(![X744:$i, X745:$i > $o]:((![X746:$i]:(((in @ X746 @ X744)=>![X747:$i]:(((in @ X747 @ X744)=>((X745 @ X746)=>((X745 @ X747)=>((X746)=(X747))))))))=>(?[X748:$i]:(((in @ X748 @ X744)&(X745 @ X748)))=>(ex1 @ X744 @ (^[Z0/* 3 */:$i]:((X745 @ Z0)))))))=>(![X797:$i, X798:$i]:((((setadjoin @ X797 @ emptyset)=(setadjoin @ X798 @ emptyset))=>((X797)=(X798))))=>(![X794:$i, X795:$i, X796:$i]:(((in @ (setadjoin @ X796 @ emptyset) @ (setadjoin @ (setadjoin @ X794 @ emptyset) @ (setadjoin @ (setadjoin @ X794 @ (setadjoin @ X795 @ emptyset)) @ emptyset)))=>((X794)=(X796))))=>(![X749:$i]:(((iskpair @ X749)=>(singleton @ (dsetconstr @ (setunion @ X749) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X749)))))))=>(![X793:$i]:(((singleton @ X793)=>(in @ (setunion @ X793) @ X793)))=>(![X750:$i, X751:$i]:(((kfst @ (kpair @ X750 @ X751))=(X750)))=>(![X752:$i, X753:$i, X754:$i]:(((in @ X754 @ (cartprod @ X752 @ X753))=>(in @ (kfst @ X754) @ X752)))=>(![X755:$i, X756:$i, X757:$i, X758:$i]:((((setadjoin @ (setadjoin @ X755 @ emptyset) @ (setadjoin @ (setadjoin @ X755 @ (setadjoin @ X756 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X757 @ emptyset) @ (setadjoin @ (setadjoin @ X757 @ (setadjoin @ X758 @ emptyset)) @ emptyset)))=>((X755)=(X757))))=>(![X759:$i, X760:$i, X761:$i, X762:$i]:((((kpair @ X759 @ X760)=(kpair @ X761 @ X762))=>((X759)=(X761))))=>(![X791:$i, X792:$i]:((((X791)=(X792))=>((setadjoin @ X791 @ (setadjoin @ X792 @ emptyset))=(setadjoin @ X791 @ emptyset))))=>(![X763:$i, X764:$i]:((((X763)=(X764))=>((setadjoin @ (setadjoin @ X763 @ emptyset) @ (setadjoin @ (setadjoin @ X763 @ (setadjoin @ X764 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X763 @ emptyset) @ emptyset))))=>(![X787:$i, X788:$i, X789:$i, X790:$i]:((((setadjoin @ (setadjoin @ X787 @ emptyset) @ (setadjoin @ (setadjoin @ X787 @ (setadjoin @ X788 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X789 @ emptyset) @ (setadjoin @ (setadjoin @ X789 @ (setadjoin @ X790 @ emptyset)) @ emptyset)))=>(((X789)=(X790))=>((X788)=(X790)))))=>(![X765:$i, X766:$i, X767:$i]:((((setadjoin @ X765 @ (setadjoin @ X766 @ emptyset))=(setadjoin @ X767 @ emptyset))=>((X765)=(X766))))=>(![X768:$i, X769:$i, X770:$i, X771:$i]:((((setadjoin @ (setadjoin @ X768 @ emptyset) @ (setadjoin @ (setadjoin @ X768 @ (setadjoin @ X769 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X770 @ emptyset) @ (setadjoin @ (setadjoin @ X770 @ (setadjoin @ X771 @ emptyset)) @ emptyset)))=>((X769)=(X771))))=>(![X783:$i, X784:$i, X785:$i, X786:$i]:((((kpair @ X783 @ X784)=(kpair @ X785 @ X786))=>((X784)=(X786))))=>(![X782:$i]:(((iskpair @ X782)=>(singleton @ (dsetconstr @ (setunion @ X782) @ (^[Z0/* 3 */:$i]:(((X782)=(kpair @ (kfst @ X782) @ Z0))))))))=>(![X772:$i, X773:$i]:(((ksnd @ (kpair @ X772 @ X773))=(X773)))=>(![X774:$i]:(((iskpair @ X774)=>((kpair @ (kfst @ X774) @ (ksnd @ X774))=(X774))))=>(![X779:$i, X780:$i, X781:$i]:(((in @ X781 @ (cartprod @ X779 @ X780))=>(in @ (ksnd @ X781) @ X780)))=>(![X775:$i, X776:$i, X777:$i, X778:$i]:(((in @ (kpair @ X777 @ X778) @ (cartprod @ X775 @ X776))=>(in @ X777 @ X775)))=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cartprodpairmemER]), c_0_176]), c_0_177]), setextAx]), subsetE]), notdallE]), emptysetsubset]), eqimpsubset1]), setunion__Cong]), eqimpsubset2]), subsetI1]), omega__Cong]), powerset__Cong]), emptyset__Cong]), c_0_178]), c_0_179]), inCongP]), c_0_180]), c_0_181]), c_0_182]), prop2setI]), quantDeMorgan2]), c_0_183]), vacuousDall]), upairsetIR]), singletonsswitch]), subsetI2]), eqinunit]), notinsingleton]), uniqinunit]), subsetE2]), setunionI]), emptyInPowerset]), bs114d]), in__Cong]), setadjoinOr]), notsubsetI]), setadjoinE]), setadjoinIR]), emptyinunitempty]), notequalI2]), nonemptyI1]), nonemptyE1]), subsetTrans]), c_0_184]), emptysetimpfalse]), emptysetE]), setadjoinSub]), c_0_185]), c_0_186]), subset2powerset]), c_0_187]), omegaIndAx]), setadjoinAx]), subsetemptysetimpeq]), emptysetAx]), inPowerset]), c_0_188]), binunionE]), binintersectEL]), binintersectLsub]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectSubset1]), setukpairinjR2]), setminusI]), setminusSubset2]), setminusELneg]), setminusILneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), c_0_189]), symdiffIneg2]), secondinupair]), kpairiskpair]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), ubforcartprodlem1]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair]), setadjoin__Cong]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_190]), c_0_191]), c_0_192]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR12]), upairequniteq]), ksndpairEq]), kpairsurjEq]), cartprodpairmemEL]), cartprodsndin]), c_0_193]), setukpairinjR]), setukpairinjR1]), setukpairinjR11]), theprop]), setukpairinjL1]), singletonsuniq]), c_0_194]), c_0_195]), cartprodmempair1]), ubforcartprodlem2]), upairinpowunion]), upairsubunion]), upairset2E]), kpairp]), setukpairIR]), setukpairIL]), symdiffIneg1]), symdiffI2]), setminusIRneg]), setminusERneg]), setminusER]), setminusEL]), binintersectSubset4]), binintersectRsub]), binintersectSubset2]), binintersectSubset5]), binintersectI]), binunionRsub]), binunionLsub]), binunionEcases]), binunionIR]), upairset2IR]), binunionIL]), c_0_196]), powersetsubset]), powersetE1]), powersetI1]), setextsub]), setadjoinSub2]), subsetRefl]), notequalI1]), notdexE]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan1]), c_0_197]), upairsetIL]), upairsetE]), nonemptyImpWitness]), c_0_198]), subPowSU]), setunionE]), powersetE]), emptyinPowerset]), powersetI]), setadjoinIL]), c_0_199]), c_0_200]), noeltsimpempty]), emptyI]), setext]), notinemptyset]), prop2setE]), c_0_201]), c_0_202]), c_0_203]), wellorderingAx]), foundationAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx])]), c_0_204])).
0.67/0.58	thf(c_0_206, negated_conjecture, ![X982:$i, X983:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i, X995:$i, X996:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1004:$i, X1005:$i > $i > $o, X1006:$i, X1009:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1016:$i, X1017:$i > $o, X1018:$i, X1019:$i > $o, X1020:$i, X1021:$i, X1022:$i > $o, X1023:$i, X1024:$i, X1025:$i > $o, X1026:$i, X1027:$i > $o, X1029:$i, X1030:$o, X1031:$i, X1032:$i, X1033:$o, X1034:$i, X1035:$i, X1036:$i > $o, X1038:$i, X1039:$i, X1042:$i, X1044:$i, X1046:$i, X1047:$i > $o, X1048:$i, X1049:$i, X1051:$i, X1052:$i > $o, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$o, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1072:$i, X1073:$i, X1074:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$o, X1084:$i, X1085:$i, X1086:$i > $o, X1088:$i, X1089:$i, X1090:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i > $o, X1109:$i, X1110:$i > $o, X1111:$i, X1112:$i, X1113:$i > $o, X1114:$i, X1116:$i, X1117:$i > $o, X1119:$i, X1120:$i, X1121:$i > $o, X1123:$i, X1124:$i, X1125:$i > $o, X1126:$i, X1128:$o, X1129:$i, X1130:$i > $o, X1132:$i, X1133:$i, X1134:$i > $o, X1135:$i, X1137:$i > $o, X1138:$i, X1140:$i > $o, X1141:$i, X1144:$i > $o, X1145:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i > $o, X1156:$i, X1157:$i, X1158:$i > $o, X1159:$i > $o, X1162:$i, X1163:$i, X1164:$i, X1165:$i, X1166:$i, X1167:$i, X1168:$i, X1169:$i, X1170:$i > $o, X1171:$i, X1172:$i, X1173:$i > $o, X1174:$i > $o, X1177:$i, X1178:$i, X1179:$i > $o, X1180:$i > $o, X1183:$i, X1184:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1193:$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:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i > $o, X1231:$i, X1232:$i > $o, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$o, X1245:$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, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$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:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$o, 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:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i, X1368:$i, X1369:$i, X1370:$i, X1371:$i, X1374:$i, X1375:$i, X1376:$i, X1377:$i, X1378:$i, X1380:$i, X1381:$i, X1382:$i, X1383:$i, X1384:$i > $o, X1387:$i, X1388:$i, X1389:$i > $o, X1391:$i, X1392:$i > $o, X1393:$i, X1395:$i, X1396:$i > $o, X1399:$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, X1438:$i, X1439:$i, X1440:$i, X1441:$i, X1442:$i, X1443:$i, X1444:$i, X1445:$i, X1446:$i, X1447:$i, X1448:$i, X1449:$i]:((((~(in @ (esk1_2 @ X982 @ X983) @ X982)|~(in @ (esk1_2 @ X982 @ X983) @ X983)|((X982)=(X983)))&((in @ (esk1_2 @ X982 @ X983) @ X982)|(in @ (esk1_2 @ X982 @ X983) @ X983)|((X982)=(X983))))&(~(in @ X985 @ emptyset)&(((~(in @ X988 @ (setadjoin @ X986 @ X987))|(((X988)=(X986))|(in @ X988 @ X987)))&((((X988)!=(X986))|(in @ X988 @ (setadjoin @ X986 @ X987)))&(~(in @ X988 @ X987)|(in @ X988 @ (setadjoin @ X986 @ X987)))))&(((~(in @ X990 @ (powerset @ X989))|(~(in @ X991 @ X990)|(in @ X991 @ X989)))&(((in @ (esk2_2 @ X992 @ X993) @ X993)|(in @ X993 @ (powerset @ X992)))&(~(in @ (esk2_2 @ X992 @ X993) @ X992)|(in @ X993 @ (powerset @ X992)))))&(((((in @ X996 @ (esk3_2 @ X995 @ X996))|~(in @ X996 @ (setunion @ X995)))&((in @ (esk3_2 @ X995 @ X996) @ X995)|~(in @ X996 @ (setunion @ X995))))&(~(in @ X999 @ X1000)|~(in @ X1000 @ X998)|(in @ X999 @ (setunion @ X998))))&((in @ emptyset @ omega)&((~(in @ X1001 @ omega)|(in @ (setadjoin @ X1001 @ X1001) @ omega))&(((((in @ (esk4_1 @ X1002) @ omega)|~(in @ emptyset @ X1002)|(~(in @ X1004 @ omega)|(in @ X1004 @ X1002)))&((in @ (esk4_1 @ X1002) @ X1002)|~(in @ emptyset @ X1002)|(~(in @ X1004 @ omega)|(in @ X1004 @ X1002))))&(~(in @ (setadjoin @ (esk4_1 @ X1002) @ (esk4_1 @ X1002)) @ X1002)|~(in @ emptyset @ X1002)|(~(in @ X1004 @ omega)|(in @ X1004 @ X1002))))&((((((in @ (esk7_3 @ X1005 @ X1006 @ X1009) @ X1006)|~(in @ X1009 @ (esk6_2 @ X1005 @ X1006))|(in @ (esk5_2 @ X1005 @ X1006) @ X1006))&((X1005 @ (esk7_3 @ X1005 @ X1006 @ X1009) @ X1009)|~(in @ X1009 @ (esk6_2 @ X1005 @ X1006))|(in @ (esk5_2 @ X1005 @ X1006) @ X1006)))&(~(in @ X1012 @ X1006)|~(X1005 @ X1012 @ X1011)|(in @ X1011 @ (esk6_2 @ X1005 @ X1006))|(in @ (esk5_2 @ X1005 @ X1006) @ X1006)))&((((in @ (esk7_3 @ X1005 @ X1006 @ X1009) @ X1006)|~(in @ X1009 @ (esk6_2 @ X1005 @ X1006))|~(exu @ (^[Z0/* 3 */:$i]:((X1005 @ (esk5_2 @ X1005 @ X1006) @ Z0)))))&((X1005 @ (esk7_3 @ X1005 @ X1006 @ X1009) @ X1009)|~(in @ X1009 @ (esk6_2 @ X1005 @ X1006))|~(exu @ (^[Z0/* 3 */:$i]:((X1005 @ (esk5_2 @ X1005 @ X1006) @ Z0))))))&(~(in @ X1012 @ X1006)|~(X1005 @ X1012 @ X1011)|(in @ X1011 @ (esk6_2 @ X1005 @ X1006))|~(exu @ (^[Z0/* 3 */:$i]:((X1005 @ (esk5_2 @ X1005 @ X1006) @ Z0)))))))&((((in @ (esk8_1 @ X1013) @ X1013)|~(in @ X1014 @ X1013))&(~(in @ X1016 @ (esk8_1 @ X1013))|~(in @ X1016 @ X1013)|~(in @ X1014 @ X1013)))&((epred1_0)&((~(exu @ (^[Z0/* 3 */:$i]:((X1017 @ Z0))))|(X1017 @ (descr @ (^[Z0/* 3 */:$i]:((X1017 @ Z0))))))&((~(in @ X1020 @ X1018)|(~(X1019 @ X1020)|(in @ X1020 @ (dsetconstr @ X1018 @ (^[Z0/* 3 */:$i]:((X1019 @ Z0)))))))&((~(in @ X1023 @ (dsetconstr @ X1021 @ (^[Z0/* 3 */:$i]:((X1022 @ Z0)))))|(in @ X1023 @ X1021))&((~(in @ X1026 @ (dsetconstr @ X1024 @ (^[Z0/* 3 */:$i]:((X1025 @ Z0)))))|(X1025 @ X1026))&((((X1027 @ (esk9_1 @ X1027))|~(exu @ (^[Z0/* 3 */:$i]:((X1027 @ Z0)))))&(~(X1027 @ X1029)|((esk9_1 @ X1027)=(X1029))|~(exu @ (^[Z0/* 3 */:$i]:((X1027 @ Z0))))))&((~(in @ X1031 @ (prop2set @ ((X1030))))|(X1030))&((~(in @ X1032 @ emptyset)|(X1033))&(~(in @ X1034 @ emptyset)&(~(in @ X1035 @ emptyset)&((~(exu @ (^[Z0/* 3 */:$i]:((X1036 @ Z0))))|(X1036 @ (esk10_1 @ X1036)))&(((((in @ (esk12_2 @ X1038 @ X1039) @ X1039)|((X1038)=(X1039))|(in @ (esk11_2 @ X1038 @ X1039) @ X1038))&(~(in @ (esk12_2 @ X1038 @ X1039) @ X1038)|((X1038)=(X1039))|(in @ (esk11_2 @ X1038 @ X1039) @ X1038)))&(((in @ (esk12_2 @ X1038 @ X1039) @ X1039)|((X1038)=(X1039))|~(in @ (esk11_2 @ X1038 @ X1039) @ X1039))&(~(in @ (esk12_2 @ X1038 @ X1039) @ X1038)|((X1038)=(X1039))|~(in @ (esk11_2 @ X1038 @ X1039) @ X1039))))&(((in @ (esk13_1 @ X1042) @ X1042)|((X1042)=(emptyset)))&(((in @ (esk14_1 @ X1044) @ X1044)|((X1044)=(emptyset)))&(((~(in @ X1048 @ (dsetconstr @ X1046 @ (^[Z0/* 3 */:$i]:((X1047 @ Z0)))))|(X1047 @ X1048)|~(in @ X1048 @ X1046))&(~(X1047 @ X1048)|(in @ X1048 @ (dsetconstr @ X1046 @ (^[Z0/* 3 */:$i]:((X1047 @ Z0)))))|~(in @ X1048 @ X1046)))&((~(nonempty @ X1049)|(in @ (esk15_1 @ X1049) @ X1049))&((~(in @ X1053 @ X1051)|(~(X1052 @ X1053)|(nonempty @ (dsetconstr @ X1051 @ (^[Z0/* 3 */:$i]:((X1052 @ Z0)))))))&((~(in @ X1055 @ X1054)|(nonempty @ X1054))&((in @ X1056 @ (setadjoin @ X1056 @ X1057))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1060 @ X1059)|(in @ X1060 @ (setadjoin @ X1058 @ X1059)))&(((((in @ X1063 @ X1062)|(X1064)|((X1063)=(X1061))|~(in @ X1063 @ (setadjoin @ X1061 @ X1062)))&(~(X1064)|(X1064)|((X1063)=(X1061))|~(in @ X1063 @ (setadjoin @ X1061 @ X1062))))&(((in @ X1063 @ X1062)|(X1064)|~(X1064)|~(in @ X1063 @ (setadjoin @ X1061 @ X1062)))&(~(X1064)|(X1064)|~(X1064)|~(in @ X1063 @ (setadjoin @ X1061 @ X1062)))))&((~(in @ X1067 @ (setadjoin @ X1065 @ X1066))|(((X1067)=(X1065))|(in @ X1067 @ X1066)))&(((dsetconstr @ X1068 @ (^[Z0/* 3 */:$i]:(($true))))=(X1068))&((((in @ (esk16_2 @ X1069 @ X1070) @ X1070)|(in @ X1070 @ (powerset @ X1069)))&(~(in @ (esk16_2 @ X1069 @ X1070) @ X1069)|(in @ X1070 @ (powerset @ X1069))))&((in @ emptyset @ (powerset @ X1072))&((in @ emptyset @ (powerset @ X1073))&((~(in @ X1075 @ (powerset @ X1074))|(~(in @ X1076 @ X1075)|(in @ X1076 @ X1074)))&((~(in @ X1078 @ X1079)|(~(in @ X1079 @ X1077)|(in @ X1078 @ (setunion @ X1077))))&((((in @ X1081 @ (esk17_3 @ X1080 @ X1081 @ X1082))|(X1082)|~(in @ X1081 @ (setunion @ X1080)))&(((in @ (esk17_3 @ X1080 @ X1081 @ X1082) @ X1080)|(X1082)|~(in @ X1081 @ (setunion @ X1080)))&(~(X1082)|(X1082)|~(in @ X1081 @ (setunion @ X1080)))))&((~(in @ X1085 @ X1084)|(in @ X1085 @ (powerset @ (setunion @ X1084))))&(((~(X1086 @ X1088)|((X1088)=(esk18_1 @ X1086))|~(exu @ (^[Z0/* 3 */:$i]:((X1086 @ Z0)))))&(((X1089)!=(esk18_1 @ X1086))|(X1086 @ X1089)|~(exu @ (^[Z0/* 3 */:$i]:((X1086 @ Z0))))))&((~(nonempty @ X1090)|(in @ (esk19_1 @ X1090) @ X1090))&((~(in @ X1092 @ (setadjoin @ X1093 @ emptyset))|((X1092)=(X1093)))&((((X1094)=(X1095))|~(in @ X1095 @ (setadjoin @ X1094 @ emptyset)))&((((X1096)!=(X1097))|(in @ X1096 @ (setadjoin @ X1097 @ emptyset)))&((~(in @ X1098 @ (setadjoin @ X1099 @ emptyset))|(in @ X1099 @ (setadjoin @ X1098 @ emptyset)))&((~(in @ X1102 @ (setadjoin @ X1100 @ (setadjoin @ X1101 @ emptyset)))|(((X1102)=(X1100))|((X1102)=(X1101))))&((in @ X1103 @ (setadjoin @ X1103 @ (setadjoin @ X1104 @ emptyset)))&((in @ X1106 @ (setadjoin @ X1105 @ (setadjoin @ X1106 @ emptyset)))&((~(in @ X1109 @ X1107)|~(X1108 @ X1109)|((dsetconstr @ X1107 @ (^[Z0/* 3 */:$i]:((X1108 @ Z0))))!=(emptyset)))&((~(in @ X1111 @ emptyset)|(X1110 @ X1111))&((((in @ (esk20_2 @ X1112 @ X1113) @ X1112)|(~(in @ X1114 @ X1112)|(X1113 @ X1114)))&(~(X1113 @ (esk20_2 @ X1112 @ X1113))|(~(in @ X1114 @ X1112)|(X1113 @ X1114))))&((((in @ (esk21_2 @ X1116 @ X1117) @ X1116)|(~(in @ X1119 @ X1116)|~(X1117 @ X1119)))&((X1117 @ (esk21_2 @ X1116 @ X1117))|(~(in @ X1119 @ X1116)|~(X1117 @ X1119))))&((((in @ (esk22_2 @ X1120 @ X1121) @ X1120)|(~(in @ X1123 @ X1120)|~(X1121 @ X1123)))&((X1121 @ (esk22_2 @ X1120 @ X1121))|(~(in @ X1123 @ X1120)|~(X1121 @ X1123))))&((((in @ (esk23_2 @ X1124 @ X1125) @ X1124)|(~(in @ X1126 @ X1124)|(X1125 @ X1126)))&(~(X1125 @ (esk23_2 @ X1124 @ X1125))|(~(in @ X1126 @ X1124)|(X1125 @ X1126))))&((~(X1128)|(in @ emptyset @ (prop2set @ ((X1128)))))&((prop2set2propI)&((((in @ (esk24_2 @ X1129 @ X1130) @ X1129)|(~(in @ X1132 @ X1129)|~(X1130 @ X1132)))&((X1130 @ (esk24_2 @ X1129 @ X1130))|(~(in @ X1132 @ X1129)|~(X1130 @ X1132))))&((((in @ (esk25_2 @ X1133 @ X1134) @ X1133)|(~(in @ X1135 @ X1133)|(X1134 @ X1135)))&(~(X1134 @ (esk25_2 @ X1133 @ X1134))|(~(in @ X1135 @ X1133)|(X1134 @ X1135))))&((((X1137 @ (esk26_2 @ X1137 @ X1138))|~(X1137 @ X1138)|(exu @ (^[Z0/* 3 */:$i]:((X1137 @ Z0)))))&(((X1138)!=(esk26_2 @ X1137 @ X1138))|~(X1137 @ X1138)|(exu @ (^[Z0/* 3 */:$i]:((X1137 @ Z0))))))&((((X1140 @ (esk27_1 @ X1140))|(exu @ (^[Z0/* 3 */:$i]:((X1140 @ Z0))))|~(X1140 @ X1141))&(((X1140 @ (esk28_1 @ X1140))|(exu @ (^[Z0/* 3 */:$i]:((X1140 @ Z0))))|~(X1140 @ X1141))&(((esk27_1 @ X1140)!=(esk28_1 @ X1140))|(exu @ (^[Z0/* 3 */:$i]:((X1140 @ Z0))))|~(X1140 @ X1141))))&(((~(X1144 @ (esk29_2 @ X1144 @ X1145))|((esk29_2 @ X1144 @ X1145)!=(X1145))|(exu @ (^[Z0/* 3 */:$i]:((X1144 @ Z0)))))&((X1144 @ (esk29_2 @ X1144 @ X1145))|((esk29_2 @ X1144 @ X1145)=(X1145))|(exu @ (^[Z0/* 3 */:$i]:((X1144 @ Z0))))))&((((X1147)!=(X1148))|(((X1149)!=(X1150))|(~(in @ X1149 @ X1147)|(in @ X1150 @ X1148))))&(((~(in @ X1153 @ X1151)|(in @ X1154 @ X1152)|((X1153)!=(X1154))|((X1151)!=(X1152)))&(~(in @ X1154 @ X1152)|(in @ X1153 @ X1151)|((X1153)!=(X1154))|((X1151)!=(X1152))))&((~(exu @ (^[Z0/* 3 */:$i]:((X1155 @ Z0))))|(~(X1155 @ X1156)|(~(X1155 @ X1157)|((X1156)=(X1157)))))&((((~(exu @ (^[Z0/* 3 */:$i]:((X1158 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1159 @ Z0))))|((esk30_2 @ X1158 @ X1159)=(esk31_2 @ X1158 @ X1159)))&(~(exu @ (^[Z0/* 3 */:$i]:((X1159 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1158 @ Z0))))|((esk30_2 @ X1158 @ X1159)=(esk31_2 @ X1158 @ X1159))))&(((~(exu @ (^[Z0/* 3 */:$i]:((X1158 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1159 @ Z0))))|(~(X1158 @ (esk30_2 @ X1158 @ X1159))|~(X1159 @ (esk31_2 @ X1158 @ X1159))))&(~(exu @ (^[Z0/* 3 */:$i]:((X1159 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1158 @ Z0))))|(~(X1158 @ (esk30_2 @ X1158 @ X1159))|~(X1159 @ (esk31_2 @ X1158 @ X1159)))))&((~(exu @ (^[Z0/* 3 */:$i]:((X1158 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1159 @ Z0))))|((X1158 @ (esk30_2 @ X1158 @ X1159))|(X1159 @ (esk31_2 @ X1158 @ X1159))))&(~(exu @ (^[Z0/* 3 */:$i]:((X1159 @ Z0))))|(exu @ (^[Z0/* 3 */:$i]:((X1158 @ Z0))))|((X1158 @ (esk30_2 @ X1158 @ X1159))|(X1159 @ (esk31_2 @ X1158 @ X1159)))))))&(((emptyset)=(emptyset))&((((X1162)!=(X1163))|(((X1164)!=(X1165))|((setadjoin @ X1162 @ X1164)=(setadjoin @ X1163 @ X1165))))&((((X1166)!=(X1167))|((powerset @ X1166)=(powerset @ X1167)))&((((X1168)!=(X1169))|((setunion @ X1168)=(setunion @ X1169)))&(((omega)=(omega))&((~(exu @ (^[Z0/* 3 */:$i]:((X1170 @ Z0))))|(~(X1170 @ X1171)|(~(X1170 @ X1172)|((X1171)=(X1172)))))&(((((esk32_2 @ X1173 @ X1174)=(esk33_2 @ X1173 @ X1174))|(~(exu @ (^[Z0/* 3 */:$i]:((X1173 @ Z0))))|(~(exu @ (^[Z0/* 3 */:$i]:((X1174 @ Z0))))|((descr @ (^[Z0/* 3 */:$i]:((X1173 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1174 @ Z0))))))))&((~(X1173 @ (esk32_2 @ X1173 @ X1174))|~(X1174 @ (esk33_2 @ X1173 @ X1174))|(~(exu @ (^[Z0/* 3 */:$i]:((X1173 @ Z0))))|(~(exu @ (^[Z0/* 3 */:$i]:((X1174 @ Z0))))|((descr @ (^[Z0/* 3 */:$i]:((X1173 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1174 @ Z0))))))))&((X1173 @ (esk32_2 @ X1173 @ X1174))|(X1174 @ (esk33_2 @ X1173 @ X1174))|(~(exu @ (^[Z0/* 3 */:$i]:((X1173 @ Z0))))|(~(exu @ (^[Z0/* 3 */:$i]:((X1174 @ Z0))))|((descr @ (^[Z0/* 3 */:$i]:((X1173 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1174 @ Z0))))))))))&((((in @ (esk34_4 @ X1177 @ X1178 @ X1179 @ X1180) @ X1177)|((dsetconstr @ X1177 @ (^[Z0/* 3 */:$i]:((X1179 @ Z0))))=(dsetconstr @ X1178 @ (^[Z0/* 3 */:$i]:((X1180 @ Z0)))))|((X1177)!=(X1178)))&(((in @ (esk35_4 @ X1177 @ X1178 @ X1179 @ X1180) @ X1178)|((dsetconstr @ X1177 @ (^[Z0/* 3 */:$i]:((X1179 @ Z0))))=(dsetconstr @ X1178 @ (^[Z0/* 3 */:$i]:((X1180 @ Z0)))))|((X1177)!=(X1178)))&((((esk34_4 @ X1177 @ X1178 @ X1179 @ X1180)=(esk35_4 @ X1177 @ X1178 @ X1179 @ X1180))|((dsetconstr @ X1177 @ (^[Z0/* 3 */:$i]:((X1179 @ Z0))))=(dsetconstr @ X1178 @ (^[Z0/* 3 */:$i]:((X1180 @ Z0)))))|((X1177)!=(X1178)))&((~(X1179 @ (esk34_4 @ X1177 @ X1178 @ X1179 @ X1180))|~(X1180 @ (esk35_4 @ X1177 @ X1178 @ X1179 @ X1180))|((dsetconstr @ X1177 @ (^[Z0/* 3 */:$i]:((X1179 @ Z0))))=(dsetconstr @ X1178 @ (^[Z0/* 3 */:$i]:((X1180 @ Z0)))))|((X1177)!=(X1178)))&((X1179 @ (esk34_4 @ X1177 @ X1178 @ X1179 @ X1180))|(X1180 @ (esk35_4 @ X1177 @ X1178 @ X1179 @ X1180))|((dsetconstr @ X1177 @ (^[Z0/* 3 */:$i]:((X1179 @ Z0))))=(dsetconstr @ X1178 @ (^[Z0/* 3 */:$i]:((X1180 @ Z0)))))|((X1177)!=(X1178)))))))&((((in @ (esk36_2 @ X1183 @ X1184) @ X1183)|(subset @ X1183 @ X1184))&(~(in @ (esk36_2 @ X1183 @ X1184) @ X1184)|(subset @ X1183 @ X1184)))&((((X1186)!=(X1187))|(subset @ X1187 @ X1186))&((((X1188)!=(X1189))|(subset @ X1188 @ X1189))&((((in @ (esk37_2 @ X1190 @ X1191) @ X1190)|(subset @ X1190 @ X1191))&(~(in @ (esk37_2 @ X1190 @ X1191) @ X1191)|(subset @ X1190 @ X1191)))&((subset @ emptyset @ X1193)&((~(subset @ X1194 @ X1195)|(~(in @ X1196 @ X1194)|(in @ X1196 @ X1195)))&((~(subset @ X1197 @ X1198)|((in @ X1199 @ X1198)|~(in @ X1199 @ X1197)))&((~(in @ X1202 @ X1200)|((in @ X1202 @ X1201)|~(subset @ X1200 @ X1201)))&(((subset @ X1203 @ X1204)|((X1203)!=(X1204)))&((~(in @ X1207 @ X1205)|((in @ X1207 @ X1206)|((X1205)!=(X1206))))&((subset @ X1208 @ X1208)&((~(subset @ X1209 @ X1210)|(~(subset @ X1210 @ X1211)|(subset @ X1209 @ X1211)))&((subset @ X1213 @ (setadjoin @ X1212 @ X1213))&((~(subset @ X1214 @ X1216)|(subset @ X1214 @ (setadjoin @ X1215 @ X1216)))&((~(subset @ X1217 @ X1218)|(in @ X1217 @ (powerset @ X1218)))&((~(subset @ X1219 @ X1220)|(~(subset @ X1220 @ X1219)|((X1219)=(X1220))))&((~(subset @ X1221 @ emptyset)|((X1221)=(emptyset)))&((~(subset @ X1223 @ X1222)|(in @ X1223 @ (powerset @ X1222)))&((~(in @ X1225 @ (powerset @ X1224))|(subset @ X1225 @ X1224))&((in @ X1226 @ (powerset @ X1226))&((~(subset @ X1227 @ X1228)|(subset @ (powerset @ X1227) @ (powerset @ X1228)))&((in @ (dsetconstr @ X1229 @ (^[Z0/* 3 */:$i]:((X1230 @ Z0)))) @ (powerset @ X1229))&((subset @ (dsetconstr @ X1231 @ (^[Z0/* 3 */:$i]:((X1232 @ Z0)))) @ X1231)&((~(in @ X1235 @ X1233)|(in @ X1235 @ (binunion @ X1233 @ X1234)))&((in @ X1237 @ (setadjoin @ X1236 @ (setadjoin @ X1237 @ emptyset)))&((~(in @ X1240 @ X1239)|(in @ X1240 @ (binunion @ X1238 @ X1239)))&(((((in @ X1243 @ X1242)|(X1244)|(in @ X1243 @ X1241)|~(in @ X1243 @ (binunion @ X1241 @ X1242)))&(~(X1244)|(X1244)|(in @ X1243 @ X1241)|~(in @ X1243 @ (binunion @ X1241 @ X1242))))&(((in @ X1243 @ X1242)|(X1244)|~(X1244)|~(in @ X1243 @ (binunion @ X1241 @ X1242)))&(~(X1244)|(X1244)|~(X1244)|~(in @ X1243 @ (binunion @ X1241 @ X1242)))))&((~(in @ X1247 @ (binunion @ X1245 @ X1246))|((in @ X1247 @ X1245)|(in @ X1247 @ X1246)))&((subset @ X1248 @ (binunion @ X1248 @ X1249))&((subset @ X1251 @ (binunion @ X1250 @ X1251))&((~(in @ X1254 @ X1252)|(~(in @ X1254 @ X1253)|(in @ X1254 @ (binintersect @ X1252 @ X1253))))&((~(subset @ X1257 @ X1255)|(~(subset @ X1257 @ X1256)|(subset @ X1257 @ (binintersect @ X1255 @ X1256))))&((~(in @ X1260 @ (binintersect @ X1258 @ X1259))|(in @ X1260 @ X1258))&((subset @ (binintersect @ X1261 @ X1262) @ X1261)&((~(subset @ X1263 @ X1264)|((binintersect @ X1263 @ X1264)=(X1263)))&((((binintersect @ X1265 @ X1266)!=(X1266))|(subset @ X1266 @ X1265))&((~(in @ X1269 @ (binintersect @ X1267 @ X1268))|(in @ X1269 @ X1268))&((((in @ (esk38_2 @ X1270 @ X1271) @ X1270)|((binintersect @ X1270 @ X1271)=(emptyset)))&((in @ (esk38_2 @ X1270 @ X1271) @ X1271)|((binintersect @ X1270 @ X1271)=(emptyset))))&((subset @ (binintersect @ X1273 @ X1274) @ X1274)&((~(subset @ X1276 @ X1275)|((binintersect @ X1275 @ X1276)=(X1276)))&((((binintersect @ X1277 @ X1278)!=(X1277))|(subset @ X1277 @ X1278))&(((binintersect @ X1279 @ (binunion @ X1280 @ X1281))=(binunion @ (binintersect @ X1279 @ X1280) @ (binintersect @ X1279 @ X1281)))&((~(in @ X1284 @ X1282)|((in @ X1284 @ X1283)|(in @ X1284 @ (setminus @ X1282 @ X1283))))&((~(in @ X1287 @ (setminus @ X1285 @ X1286))|(in @ X1287 @ X1285))&((~(in @ X1290 @ (setminus @ X1288 @ X1289))|~(in @ X1290 @ X1289))&((~(subset @ X1291 @ X1292)|((setminus @ X1291 @ X1292)=(emptyset)))&(((in @ X1295 @ (setminus @ X1293 @ X1294))|(~(in @ X1295 @ X1293)|(in @ X1295 @ X1294)))&(((in @ X1298 @ (setminus @ X1296 @ X1297))|((in @ X1298 @ X1297)|~(in @ X1298 @ X1296)))&(((in @ X1301 @ X1299)|~(in @ X1301 @ (setminus @ X1299 @ X1300)))&((~(in @ X1304 @ X1303)|~(in @ X1304 @ (setminus @ X1302 @ X1303)))&((subset @ (setminus @ X1305 @ X1306) @ X1305)&((((setminus @ X1307 @ X1308)!=(emptyset))|(subset @ X1307 @ X1308))&((((~(in @ X1311 @ X1309)|(X1312)|(in @ X1311 @ X1309)|~(in @ X1311 @ (symdiff @ X1309 @ X1310)))&(((in @ X1311 @ X1310)|(X1312)|(in @ X1311 @ X1309)|~(in @ X1311 @ (symdiff @ X1309 @ X1310)))&(~(X1312)|(X1312)|(in @ X1311 @ X1309)|~(in @ X1311 @ (symdiff @ X1309 @ X1310)))))&(((~(in @ X1311 @ X1309)|(X1312)|~(in @ X1311 @ X1310)|~(in @ X1311 @ (symdiff @ X1309 @ X1310)))&(((in @ X1311 @ X1310)|(X1312)|~(in @ X1311 @ X1310)|~(in @ X1311 @ (symdiff @ X1309 @ X1310)))&(~(X1312)|(X1312)|~(in @ X1311 @ X1310)|~(in @ X1311 @ (symdiff @ X1309 @ X1310)))))&((~(in @ X1311 @ X1309)|(X1312)|~(X1312)|~(in @ X1311 @ (symdiff @ X1309 @ X1310)))&(((in @ X1311 @ X1310)|(X1312)|~(X1312)|~(in @ X1311 @ (symdiff @ X1309 @ X1310)))&(~(X1312)|(X1312)|~(X1312)|~(in @ X1311 @ (symdiff @ X1309 @ X1310)))))))&((~(in @ X1315 @ X1313)|((in @ X1315 @ X1314)|(in @ X1315 @ (symdiff @ X1313 @ X1314))))&(((in @ X1318 @ X1316)|(~(in @ X1318 @ X1317)|(in @ X1318 @ (symdiff @ X1316 @ X1317))))&((~(in @ X1321 @ X1319)|(~(in @ X1321 @ X1320)|~(in @ X1321 @ (symdiff @ X1319 @ X1320))))&(((in @ X1324 @ X1322)|((in @ X1324 @ X1323)|~(in @ X1324 @ (symdiff @ X1322 @ X1323))))&((in @ X1326 @ (setadjoin @ X1325 @ (setadjoin @ X1326 @ emptyset)))&((in @ X1327 @ (setunion @ (setadjoin @ (setadjoin @ X1327 @ emptyset) @ (setadjoin @ (setadjoin @ X1327 @ (setadjoin @ X1328 @ emptyset)) @ emptyset))))&((in @ X1330 @ (setunion @ (setadjoin @ (setadjoin @ X1329 @ emptyset) @ (setadjoin @ (setadjoin @ X1329 @ (setadjoin @ X1330 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1331 @ emptyset) @ (setadjoin @ (setadjoin @ X1331 @ (setadjoin @ X1332 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1333 @ X1334))&((~(in @ X1336 @ X1335)|(subset @ (setadjoin @ X1336 @ emptyset) @ X1335))&((~(in @ X1338 @ X1337)|(in @ (setadjoin @ X1338 @ emptyset) @ (powerset @ X1337)))&((~(in @ X1341 @ X1339)|(in @ (setadjoin @ X1341 @ emptyset) @ (powerset @ (binunion @ X1339 @ X1340))))&((~(in @ X1344 @ (setadjoin @ X1342 @ (setadjoin @ X1343 @ emptyset)))|(((X1344)=(X1342))|((X1344)=(X1343))))&((~(in @ X1347 @ X1345)|(~(in @ X1348 @ X1346)|(subset @ (setadjoin @ X1347 @ (setadjoin @ X1348 @ emptyset)) @ (binunion @ X1345 @ X1346))))&((~(in @ X1351 @ X1349)|(~(in @ X1352 @ X1350)|(in @ (setadjoin @ X1351 @ (setadjoin @ X1352 @ emptyset)) @ (powerset @ (binunion @ X1349 @ X1350)))))&((~(in @ X1355 @ X1353)|(~(in @ X1356 @ X1354)|(subset @ (setadjoin @ (setadjoin @ X1355 @ emptyset) @ (setadjoin @ (setadjoin @ X1355 @ (setadjoin @ X1356 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1353 @ X1354)))))&((~(in @ X1359 @ X1357)|(~(in @ X1360 @ X1358)|(in @ (setadjoin @ (setadjoin @ X1359 @ emptyset) @ (setadjoin @ (setadjoin @ X1359 @ (setadjoin @ X1360 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1357 @ X1358))))))&((~(in @ X1363 @ X1361)|(~(in @ X1364 @ X1362)|(in @ (kpair @ X1363 @ X1364) @ (powerset @ (powerset @ (binunion @ X1361 @ X1362))))))&((~(in @ X1367 @ X1365)|(~(in @ X1368 @ X1366)|(in @ (kpair @ X1367 @ X1368) @ (cartprod @ X1365 @ X1366))))&((((in @ (esk39_3 @ X1369 @ X1370 @ X1371) @ X1369)|~(in @ X1371 @ (cartprod @ X1369 @ X1370)))&(((in @ (esk40_3 @ X1369 @ X1370 @ X1371) @ X1370)|~(in @ X1371 @ (cartprod @ X1369 @ X1370)))&(((X1371)=(kpair @ (esk39_3 @ X1369 @ X1370 @ X1371) @ (esk40_3 @ X1369 @ X1370 @ X1371)))|~(in @ X1371 @ (cartprod @ X1369 @ X1370)))))&((~(in @ X1376 @ (cartprod @ X1374 @ X1375))|(iskpair @ X1376))&((((in @ (esk41_2 @ X1377 @ X1378) @ X1377)|~(in @ X1378 @ (setunion @ X1377)))&((in @ X1378 @ (esk41_2 @ X1377 @ X1378))|~(in @ X1378 @ (setunion @ X1377))))&((subset @ (setunion @ (setadjoin @ X1380 @ emptyset)) @ X1380)&((subset @ X1381 @ (setunion @ (setadjoin @ X1381 @ emptyset)))&(((setunion @ (setadjoin @ X1382 @ emptyset))=(X1382))&((((in @ (esk42_2 @ X1383 @ X1384) @ X1383)|(~(in @ X1387 @ X1383)|~(X1384 @ X1387)|(singleton @ (dsetconstr @ X1383 @ (^[Z0/* 3 */:$i]:((X1384 @ Z0)))))))&(((in @ (esk43_2 @ X1383 @ X1384) @ X1383)|(~(in @ X1387 @ X1383)|~(X1384 @ X1387)|(singleton @ (dsetconstr @ X1383 @ (^[Z0/* 3 */:$i]:((X1384 @ Z0)))))))&(((X1384 @ (esk42_2 @ X1383 @ X1384))|(~(in @ X1387 @ X1383)|~(X1384 @ X1387)|(singleton @ (dsetconstr @ X1383 @ (^[Z0/* 3 */:$i]:((X1384 @ Z0)))))))&(((X1384 @ (esk43_2 @ X1383 @ X1384))|(~(in @ X1387 @ X1383)|~(X1384 @ X1387)|(singleton @ (dsetconstr @ X1383 @ (^[Z0/* 3 */:$i]:((X1384 @ Z0)))))))&(((esk42_2 @ X1383 @ X1384)!=(esk43_2 @ X1383 @ X1384))|(~(in @ X1387 @ X1383)|~(X1384 @ X1387)|(singleton @ (dsetconstr @ X1383 @ (^[Z0/* 3 */:$i]:((X1384 @ Z0)))))))))))&((((in @ (esk44_2 @ X1388 @ X1389) @ X1388)|~(ex1 @ X1388 @ (^[Z0/* 3 */:$i]:((X1389 @ Z0)))))&((X1389 @ (esk44_2 @ X1388 @ X1389))|~(ex1 @ X1388 @ (^[Z0/* 3 */:$i]:((X1389 @ Z0))))))&((((in @ (esk45_3 @ X1391 @ X1392 @ X1393) @ X1391)|(ex1 @ X1391 @ (^[Z0/* 3 */:$i]:((X1392 @ Z0))))|~(X1392 @ X1393)|~(in @ X1393 @ X1391))&(((X1392 @ (esk45_3 @ X1391 @ X1392 @ X1393))|(ex1 @ X1391 @ (^[Z0/* 3 */:$i]:((X1392 @ Z0))))|~(X1392 @ X1393)|~(in @ X1393 @ X1391))&(((esk45_3 @ X1391 @ X1392 @ X1393)!=(X1393))|(ex1 @ X1391 @ (^[Z0/* 3 */:$i]:((X1392 @ Z0))))|~(X1392 @ X1393)|~(in @ X1393 @ X1391))))&((((in @ (esk46_2 @ X1395 @ X1396) @ X1395)|(~(in @ X1399 @ X1395)|~(X1396 @ X1399)|(ex1 @ X1395 @ (^[Z0/* 3 */:$i]:((X1396 @ Z0))))))&(((in @ (esk47_2 @ X1395 @ X1396) @ X1395)|(~(in @ X1399 @ X1395)|~(X1396 @ X1399)|(ex1 @ X1395 @ (^[Z0/* 3 */:$i]:((X1396 @ Z0))))))&(((X1396 @ (esk46_2 @ X1395 @ X1396))|(~(in @ X1399 @ X1395)|~(X1396 @ X1399)|(ex1 @ X1395 @ (^[Z0/* 3 */:$i]:((X1396 @ Z0))))))&(((X1396 @ (esk47_2 @ X1395 @ X1396))|(~(in @ X1399 @ X1395)|~(X1396 @ X1399)|(ex1 @ X1395 @ (^[Z0/* 3 */:$i]:((X1396 @ Z0))))))&(((esk46_2 @ X1395 @ X1396)!=(esk47_2 @ X1395 @ X1396))|(~(in @ X1399 @ X1395)|~(X1396 @ X1399)|(ex1 @ X1395 @ (^[Z0/* 3 */:$i]:((X1396 @ Z0))))))))))&((((setadjoin @ X1400 @ emptyset)!=(setadjoin @ X1401 @ emptyset))|((X1400)=(X1401)))&((~(in @ (setadjoin @ X1404 @ emptyset) @ (setadjoin @ (setadjoin @ X1402 @ emptyset) @ (setadjoin @ (setadjoin @ X1402 @ (setadjoin @ X1403 @ emptyset)) @ emptyset)))|((X1402)=(X1404)))&((~(iskpair @ X1405)|(singleton @ (dsetconstr @ (setunion @ X1405) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1405))))))&((~(singleton @ X1406)|(in @ (setunion @ X1406) @ X1406))&(((kfst @ (kpair @ X1407 @ X1408))=(X1407))&((~(in @ X1411 @ (cartprod @ X1409 @ X1410))|(in @ (kfst @ X1411) @ X1409))&((((setadjoin @ (setadjoin @ X1412 @ emptyset) @ (setadjoin @ (setadjoin @ X1412 @ (setadjoin @ X1413 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1414 @ emptyset) @ (setadjoin @ (setadjoin @ X1414 @ (setadjoin @ X1415 @ emptyset)) @ emptyset)))|((X1412)=(X1414)))&((((kpair @ X1416 @ X1417)!=(kpair @ X1418 @ X1419))|((X1416)=(X1418)))&((((X1420)!=(X1421))|((setadjoin @ X1420 @ (setadjoin @ X1421 @ emptyset))=(setadjoin @ X1420 @ emptyset)))&((((X1422)!=(X1423))|((setadjoin @ (setadjoin @ X1422 @ emptyset) @ (setadjoin @ (setadjoin @ X1422 @ (setadjoin @ X1423 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1422 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1424 @ emptyset) @ (setadjoin @ (setadjoin @ X1424 @ (setadjoin @ X1425 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1426 @ emptyset) @ (setadjoin @ (setadjoin @ X1426 @ (setadjoin @ X1427 @ emptyset)) @ emptyset)))|(((X1426)!=(X1427))|((X1425)=(X1427))))&((((setadjoin @ X1428 @ (setadjoin @ X1429 @ emptyset))!=(setadjoin @ X1430 @ emptyset))|((X1428)=(X1429)))&((((setadjoin @ (setadjoin @ X1431 @ emptyset) @ (setadjoin @ (setadjoin @ X1431 @ (setadjoin @ X1432 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1433 @ emptyset) @ (setadjoin @ (setadjoin @ X1433 @ (setadjoin @ X1434 @ emptyset)) @ emptyset)))|((X1432)=(X1434)))&((((kpair @ X1435 @ X1436)!=(kpair @ X1437 @ X1438))|((X1436)=(X1438)))&((~(iskpair @ X1439)|(singleton @ (dsetconstr @ (setunion @ X1439) @ (^[Z0/* 3 */:$i]:(((X1439)=(kpair @ (kfst @ X1439) @ Z0)))))))&(((ksnd @ (kpair @ X1440 @ X1441))=(X1441))&((~(iskpair @ X1442)|((kpair @ (kfst @ X1442) @ (ksnd @ X1442))=(X1442)))&((~(in @ X1445 @ (cartprod @ X1443 @ X1444))|(in @ (ksnd @ X1445) @ X1444))&((~(in @ (kpair @ X1448 @ X1449) @ (cartprod @ X1446 @ X1447))|(in @ X1448 @ X1446))&((in @ (kpair @ esk50_0 @ esk51_0) @ (cartprod @ esk48_0 @ esk49_0))&~(in @ esk51_0 @ esk49_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_205])])])])])])).
0.67/0.58	thf(c_0_207, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ (ksnd @ X2) @ X4)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_206])).
0.67/0.58	thf(c_0_208, negated_conjecture, (in @ (kpair @ esk50_0 @ esk51_0) @ (cartprod @ esk48_0 @ esk49_0)), inference(split_conjunct,[status(thm)],[c_0_206])).
0.67/0.58	thf(c_0_209, negated_conjecture, ![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3))), inference(split_conjunct,[status(thm)],[c_0_206])).
0.67/0.58	thf(c_0_210, negated_conjecture, ~((in @ esk51_0 @ esk49_0)), inference(split_conjunct,[status(thm)],[c_0_206])).
0.67/0.58	thf(c_0_211, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207, c_0_208]), c_0_209]), c_0_210]), ['proof']).
0.67/0.58	# SZS output end CNFRefutation
0.67/0.58	# Parsed axioms                        : 388
0.67/0.58	# Removed by relevancy pruning/SinE    : 212
0.67/0.58	# Initial clauses                      : 273
0.67/0.58	# Removed in clause preprocessing      : 23
0.67/0.58	# Initial clauses in saturation        : 250
0.67/0.58	# Processed clauses                    : 426
0.67/0.58	# ...of these trivial                  : 8
0.67/0.58	# ...subsumed                          : 44
0.67/0.58	# ...remaining for further processing  : 374
0.67/0.58	# Other redundant clauses eliminated   : 22
0.67/0.58	# Clauses deleted for lack of memory   : 0
0.67/0.58	# Backward-subsumed                    : 0
0.67/0.58	# Backward-rewritten                   : 6
0.67/0.58	# Generated clauses                    : 738
0.67/0.58	# ...of the previous two non-redundant : 635
0.67/0.58	# ...aggressively subsumed             : 0
0.67/0.58	# Contextual simplify-reflections      : 0
0.67/0.58	# Paramodulations                      : 713
0.67/0.58	# Factorizations                       : 0
0.67/0.58	# NegExts                              : 0
0.67/0.58	# Equation resolutions                 : 25
0.67/0.58	# Total rewrite steps                  : 126
0.67/0.58	# Propositional unsat checks           : 0
0.67/0.58	#    Propositional check models        : 0
0.67/0.58	#    Propositional check unsatisfiable : 0
0.67/0.58	#    Propositional clauses             : 0
0.67/0.58	#    Propositional clauses after purity: 0
0.67/0.58	#    Propositional unsat core size     : 0
0.67/0.58	#    Propositional preprocessing time  : 0.000
0.67/0.58	#    Propositional encoding time       : 0.000
0.67/0.58	#    Propositional solver time         : 0.000
0.67/0.58	#    Success case prop preproc time    : 0.000
0.67/0.58	#    Success case prop encoding time   : 0.000
0.67/0.58	#    Success case prop solver time     : 0.000
0.67/0.58	# Current number of processed clauses  : 143
0.67/0.58	#    Positive orientable unit clauses  : 46
0.67/0.58	#    Positive unorientable unit clauses: 0
0.67/0.58	#    Negative unit clauses             : 8
0.67/0.58	#    Non-unit-clauses                  : 89
0.67/0.58	# Current number of unprocessed clauses: 660
0.67/0.58	# ...number of literals in the above   : 1565
0.67/0.58	# Current number of archived formulas  : 0
0.67/0.58	# Current number of archived clauses   : 218
0.67/0.58	# Clause-clause subsumption calls (NU) : 8220
0.67/0.58	# Rec. Clause-clause subsumption calls : 5075
0.67/0.58	# Non-unit clause-clause subsumptions  : 26
0.67/0.58	# Unit Clause-clause subsumption calls : 99
0.67/0.58	# Rewrite failures with RHS unbound    : 0
0.67/0.58	# BW rewrite match attempts            : 19
0.67/0.58	# BW rewrite match successes           : 3
0.67/0.58	# Condensation attempts                : 426
0.67/0.58	# Condensation successes               : 4
0.67/0.58	# Termbank termtop insertions          : 45932
0.67/0.58	
0.67/0.58	# -------------------------------------------------
0.67/0.58	# User time                : 0.063 s
0.67/0.58	# System time              : 0.013 s
0.67/0.58	# Total time               : 0.076 s
0.67/0.58	# Maximum resident set size: 5460 pages
0.90/0.59	
0.90/0.59	# -------------------------------------------------
0.90/0.59	# User time                : 0.071 s
0.90/0.59	# System time              : 0.017 s
0.90/0.59	# Total time               : 0.087 s
0.90/0.59	# Maximum resident set size: 2204 pages
0.90/0.59	% E---3.1 exiting
0.90/0.59	EOF