0.02/0.18	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.18	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.10/0.39	% Computer : n009.cluster.edu
0.10/0.39	% Model    : x86_64 x86_64
0.10/0.39	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.39	% Memory   : 8042.1875MB
0.10/0.39	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.39	% CPULimit   : 1920
0.10/0.39	% WCLimit    : 240
0.10/0.39	% DateTime   : Wed Jul 30 09:54:34 EDT 2025
0.10/0.39	% CPUTime    : 
0.16/0.55	Running higher-order theorem proving
0.16/0.59	Running: /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=240 /export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p
1234.53/170.06	# Version: 3.0.0-ho
1234.53/170.06	# Preprocessing class: HSLMSLSSLLLCHFA.
1234.53/170.06	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
1234.53/170.06	# Starting ehoh_best5 with 240s (1) cores
1234.53/170.06	# Starting almost_fo_3_lam with 240s (1) cores
1234.53/170.06	# Starting new_bool_5 with 240s (1) cores
1234.53/170.06	# Starting pre_casc_3 with 240s (1) cores
1234.53/170.06	# Starting ho_unfolding_8 with 240s (1) cores
1234.53/170.06	# Starting new_ho_10_cnf2 with 240s (1) cores
1234.53/170.06	# Starting new_bool_3 with 240s (1) cores
1234.53/170.06	# Starting new_ho_5 with 240s (1) cores
1234.53/170.06	# new_ho_10_cnf2 with pid 25498 completed with status 0
1234.53/170.06	# Result found by new_ho_10_cnf2
1234.53/170.06	# Preprocessing class: HSLMSLSSLLLCHFA.
1234.53/170.06	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
1234.53/170.06	# Starting ehoh_best5 with 240s (1) cores
1234.53/170.06	# Starting almost_fo_3_lam with 240s (1) cores
1234.53/170.06	# Starting new_bool_5 with 240s (1) cores
1234.53/170.06	# Starting pre_casc_3 with 240s (1) cores
1234.53/170.06	# Starting ho_unfolding_8 with 240s (1) cores
1234.53/170.06	# Starting new_ho_10_cnf2 with 240s (1) cores
1234.53/170.06	# No SInE strategy applied
1234.53/170.06	# Search class: HGHSM-FSLS31-MHFMMSBN
1234.53/170.06	# Scheduled 5 strats onto 1 cores with 240 seconds (240 total)
1234.53/170.06	# Starting pre_casc_7 with 145s (1) cores
1234.53/170.06	# pre_casc_7 with pid 25508 completed with status 8
1234.53/170.06	# Starting ehoh_best3 with 25s (1) cores
1234.53/170.06	# ehoh_best3 with pid 26297 completed with status 0
1234.53/170.06	# Result found by ehoh_best3
1234.53/170.06	# Preprocessing class: HSLMSLSSLLLCHFA.
1234.53/170.06	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
1234.53/170.06	# Starting ehoh_best5 with 240s (1) cores
1234.53/170.06	# Starting almost_fo_3_lam with 240s (1) cores
1234.53/170.06	# Starting new_bool_5 with 240s (1) cores
1234.53/170.06	# Starting pre_casc_3 with 240s (1) cores
1234.53/170.06	# Starting ho_unfolding_8 with 240s (1) cores
1234.53/170.06	# Starting new_ho_10_cnf2 with 240s (1) cores
1234.53/170.06	# No SInE strategy applied
1234.53/170.06	# Search class: HGHSM-FSLS31-MHFMMSBN
1234.53/170.06	# Scheduled 5 strats onto 1 cores with 240 seconds (240 total)
1234.53/170.06	# Starting pre_casc_7 with 145s (1) cores
1234.53/170.06	# pre_casc_7 with pid 25508 completed with status 8
1234.53/170.06	# Starting ehoh_best3 with 25s (1) cores
1234.53/170.06	# Preprocessing time       : 0.003 s
1234.53/170.06	# Presaturation interreduction done
1234.53/170.06	
1234.53/170.06	# Proof found!
1234.53/170.06	# SZS status Theorem
1234.53/170.06	# SZS output start CNFRefutation
1234.53/170.06	thf(decl_23, type, in: $i > $i > $o).
1234.53/170.06	thf(decl_24, type, exu: ($i > $o) > $o).
1234.53/170.06	thf(decl_25, type, setextAx: $o).
1234.53/170.06	thf(decl_26, type, emptyset: $i).
1234.53/170.06	thf(decl_27, type, emptysetAx: $o).
1234.53/170.06	thf(decl_28, type, setadjoin: $i > $i > $i).
1234.53/170.06	thf(decl_29, type, setadjoinAx: $o).
1234.53/170.06	thf(decl_30, type, powerset: $i > $i).
1234.53/170.06	thf(decl_31, type, powersetAx: $o).
1234.53/170.06	thf(decl_32, type, setunion: $i > $i).
1234.53/170.06	thf(decl_33, type, setunionAx: $o).
1234.53/170.06	thf(decl_34, type, omega: $i).
1234.53/170.06	thf(decl_35, type, omega0Ax: $o).
1234.53/170.06	thf(decl_36, type, omegaSAx: $o).
1234.53/170.06	thf(decl_37, type, omegaIndAx: $o).
1234.53/170.06	thf(decl_38, type, replAx: $o).
1234.53/170.06	thf(decl_39, type, foundationAx: $o).
1234.53/170.06	thf(decl_40, type, wellorderingAx: $o).
1234.53/170.06	thf(decl_41, type, descr: ($i > $o) > $i).
1234.53/170.06	thf(decl_42, type, descrp: $o).
1234.53/170.06	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_44, type, dsetconstrI: $o).
1234.53/170.06	thf(decl_45, type, dsetconstrEL: $o).
1234.53/170.06	thf(decl_46, type, dsetconstrER: $o).
1234.53/170.06	thf(decl_47, type, exuE1: $o).
1234.53/170.06	thf(decl_48, type, prop2set: $o > $i).
1234.53/170.06	thf(decl_49, type, prop2setE: $o).
1234.53/170.06	thf(decl_50, type, emptysetE: $o).
1234.53/170.06	thf(decl_51, type, emptysetimpfalse: $o).
1234.53/170.06	thf(decl_52, type, notinemptyset: $o).
1234.53/170.06	thf(decl_53, type, exuE3e: $o).
1234.53/170.06	thf(decl_54, type, setext: $o).
1234.53/170.06	thf(decl_55, type, emptyI: $o).
1234.53/170.06	thf(decl_56, type, noeltsimpempty: $o).
1234.53/170.06	thf(decl_57, type, setbeta: $o).
1234.53/170.06	thf(decl_58, type, nonempty: $i > $o).
1234.53/170.06	thf(decl_59, type, nonemptyE1: $o).
1234.53/170.06	thf(decl_60, type, nonemptyI: $o).
1234.53/170.06	thf(decl_61, type, nonemptyI1: $o).
1234.53/170.06	thf(decl_62, type, setadjoinIL: $o).
1234.53/170.06	thf(decl_63, type, emptyinunitempty: $o).
1234.53/170.06	thf(decl_64, type, setadjoinIR: $o).
1234.53/170.06	thf(decl_65, type, setadjoinE: $o).
1234.53/170.06	thf(decl_66, type, setadjoinOr: $o).
1234.53/170.06	thf(decl_67, type, setoftrueEq: $o).
1234.53/170.06	thf(decl_68, type, powersetI: $o).
1234.53/170.06	thf(decl_69, type, emptyinPowerset: $o).
1234.53/170.06	thf(decl_70, type, emptyInPowerset: $o).
1234.53/170.06	thf(decl_71, type, powersetE: $o).
1234.53/170.06	thf(decl_72, type, setunionI: $o).
1234.53/170.06	thf(decl_73, type, setunionE: $o).
1234.53/170.06	thf(decl_74, type, subPowSU: $o).
1234.53/170.06	thf(decl_75, type, exuE2: $o).
1234.53/170.06	thf(decl_76, type, nonemptyImpWitness: $o).
1234.53/170.06	thf(decl_77, type, uniqinunit: $o).
1234.53/170.06	thf(decl_78, type, notinsingleton: $o).
1234.53/170.06	thf(decl_79, type, eqinunit: $o).
1234.53/170.06	thf(decl_80, type, singletonsswitch: $o).
1234.53/170.06	thf(decl_81, type, upairsetE: $o).
1234.53/170.06	thf(decl_82, type, upairsetIL: $o).
1234.53/170.06	thf(decl_83, type, upairsetIR: $o).
1234.53/170.06	thf(decl_84, type, emptyE1: $o).
1234.53/170.06	thf(decl_85, type, vacuousDall: $o).
1234.53/170.06	thf(decl_86, type, quantDeMorgan1: $o).
1234.53/170.06	thf(decl_87, type, quantDeMorgan2: $o).
1234.53/170.06	thf(decl_88, type, quantDeMorgan3: $o).
1234.53/170.06	thf(decl_89, type, quantDeMorgan4: $o).
1234.53/170.06	thf(decl_90, type, prop2setI: $o).
1234.53/170.06	thf(decl_91, type, set2prop: $i > $o).
1234.53/170.06	thf(decl_92, type, prop2set2propI: $o).
1234.53/170.06	thf(decl_93, type, notdexE: $o).
1234.53/170.06	thf(decl_94, type, notdallE: $o).
1234.53/170.06	thf(decl_95, type, exuI1: $o).
1234.53/170.06	thf(decl_96, type, exuI3: $o).
1234.53/170.06	thf(decl_97, type, exuI2: $o).
1234.53/170.06	thf(decl_98, type, inCongP: $o).
1234.53/170.06	thf(decl_99, type, in__Cong: $o).
1234.53/170.06	thf(decl_100, type, exuE3u: $o).
1234.53/170.06	thf(decl_101, type, exu__Cong: $o).
1234.53/170.06	thf(decl_102, type, emptyset__Cong: $o).
1234.53/170.06	thf(decl_103, type, setadjoin__Cong: $o).
1234.53/170.06	thf(decl_104, type, powerset__Cong: $o).
1234.53/170.06	thf(decl_105, type, setunion__Cong: $o).
1234.53/170.06	thf(decl_106, type, omega__Cong: $o).
1234.53/170.06	thf(decl_107, type, exuEu: $o).
1234.53/170.06	thf(decl_108, type, descr__Cong: $o).
1234.53/170.06	thf(decl_109, type, dsetconstr__Cong: $o).
1234.53/170.06	thf(decl_110, type, subset: $i > $i > $o).
1234.53/170.06	thf(decl_113, type, subsetI1: $o).
1234.53/170.06	thf(decl_114, type, eqimpsubset2: $o).
1234.53/170.06	thf(decl_115, type, eqimpsubset1: $o).
1234.53/170.06	thf(decl_116, type, subsetI2: $o).
1234.53/170.06	thf(decl_117, type, emptysetsubset: $o).
1234.53/170.06	thf(decl_118, type, subsetE: $o).
1234.53/170.06	thf(decl_119, type, subsetE2: $o).
1234.53/170.06	thf(decl_120, type, notsubsetI: $o).
1234.53/170.06	thf(decl_121, type, notequalI1: $o).
1234.53/170.06	thf(decl_122, type, notequalI2: $o).
1234.53/170.06	thf(decl_123, type, subsetRefl: $o).
1234.53/170.06	thf(decl_124, type, subsetTrans: $o).
1234.53/170.06	thf(decl_125, type, setadjoinSub: $o).
1234.53/170.06	thf(decl_126, type, setadjoinSub2: $o).
1234.53/170.06	thf(decl_127, type, subset2powerset: $o).
1234.53/170.06	thf(decl_128, type, setextsub: $o).
1234.53/170.06	thf(decl_129, type, subsetemptysetimpeq: $o).
1234.53/170.06	thf(decl_130, type, powersetI1: $o).
1234.53/170.06	thf(decl_131, type, powersetE1: $o).
1234.53/170.06	thf(decl_132, type, inPowerset: $o).
1234.53/170.06	thf(decl_133, type, powersetsubset: $o).
1234.53/170.06	thf(decl_134, type, sepInPowerset: $o).
1234.53/170.06	thf(decl_135, type, sepSubset: $o).
1234.53/170.06	thf(decl_136, type, binunion: $i > $i > $i).
1234.53/170.06	thf(decl_137, type, binunionIL: $o).
1234.53/170.06	thf(decl_138, type, upairset2IR: $o).
1234.53/170.06	thf(decl_139, type, binunionIR: $o).
1234.53/170.06	thf(decl_140, type, binunionEcases: $o).
1234.53/170.06	thf(decl_141, type, binunionE: $o).
1234.53/170.06	thf(decl_142, type, binunionLsub: $o).
1234.53/170.06	thf(decl_143, type, binunionRsub: $o).
1234.53/170.06	thf(decl_144, type, binintersect: $i > $i > $i).
1234.53/170.06	thf(decl_145, type, binintersectI: $o).
1234.53/170.06	thf(decl_146, type, binintersectSubset5: $o).
1234.53/170.06	thf(decl_147, type, binintersectEL: $o).
1234.53/170.06	thf(decl_148, type, binintersectLsub: $o).
1234.53/170.06	thf(decl_149, type, binintersectSubset2: $o).
1234.53/170.06	thf(decl_150, type, binintersectSubset3: $o).
1234.53/170.06	thf(decl_151, type, binintersectER: $o).
1234.53/170.06	thf(decl_152, type, disjointsetsI1: $o).
1234.53/170.06	thf(decl_153, type, binintersectRsub: $o).
1234.53/170.06	thf(decl_154, type, binintersectSubset4: $o).
1234.53/170.06	thf(decl_155, type, binintersectSubset1: $o).
1234.53/170.06	thf(decl_156, type, bs114d: $o).
1234.53/170.06	thf(decl_158, type, setminus: $i > $i > $i).
1234.53/170.06	thf(decl_159, type, setminusI: $o).
1234.53/170.06	thf(decl_160, type, setminusEL: $o).
1234.53/170.06	thf(decl_161, type, setminusER: $o).
1234.53/170.06	thf(decl_162, type, setminusSubset2: $o).
1234.53/170.06	thf(decl_163, type, setminusERneg: $o).
1234.53/170.06	thf(decl_164, type, setminusELneg: $o).
1234.53/170.06	thf(decl_165, type, setminusILneg: $o).
1234.53/170.06	thf(decl_166, type, setminusIRneg: $o).
1234.53/170.06	thf(decl_167, type, setminusLsub: $o).
1234.53/170.06	thf(decl_168, type, setminusSubset1: $o).
1234.53/170.06	thf(decl_169, type, symdiff: $i > $i > $i).
1234.53/170.06	thf(decl_170, type, symdiffE: $o).
1234.53/170.06	thf(decl_171, type, symdiffI1: $o).
1234.53/170.06	thf(decl_172, type, symdiffI2: $o).
1234.53/170.06	thf(decl_173, type, symdiffIneg1: $o).
1234.53/170.06	thf(decl_174, type, symdiffIneg2: $o).
1234.53/170.06	thf(decl_175, type, iskpair: $i > $o).
1234.53/170.06	thf(decl_176, type, secondinupair: $o).
1234.53/170.06	thf(decl_177, type, setukpairIL: $o).
1234.53/170.06	thf(decl_178, type, setukpairIR: $o).
1234.53/170.06	thf(decl_179, type, kpairiskpair: $o).
1234.53/170.06	thf(decl_180, type, kpair: $i > $i > $i).
1234.53/170.06	thf(decl_181, type, kpairp: $o).
1234.53/170.06	thf(decl_182, type, cartprod: $i > $i > $i).
1234.53/170.06	thf(decl_183, type, singletonsubset: $o).
1234.53/170.06	thf(decl_184, type, singletoninpowerset: $o).
1234.53/170.06	thf(decl_185, type, singletoninpowunion: $o).
1234.53/170.06	thf(decl_186, type, upairset2E: $o).
1234.53/170.06	thf(decl_187, type, upairsubunion: $o).
1234.53/170.06	thf(decl_188, type, upairinpowunion: $o).
1234.53/170.06	thf(decl_189, type, ubforcartprodlem1: $o).
1234.53/170.06	thf(decl_190, type, ubforcartprodlem2: $o).
1234.53/170.06	thf(decl_191, type, ubforcartprodlem3: $o).
1234.53/170.06	thf(decl_192, type, cartprodpairin: $o).
1234.53/170.06	thf(decl_193, type, cartprodmempair1: $o).
1234.53/170.06	thf(decl_194, type, cartprodmempair: $o).
1234.53/170.06	thf(decl_195, type, setunionE2: $o).
1234.53/170.06	thf(decl_196, type, setunionsingleton1: $o).
1234.53/170.06	thf(decl_197, type, setunionsingleton2: $o).
1234.53/170.06	thf(decl_198, type, setunionsingleton: $o).
1234.53/170.06	thf(decl_199, type, singleton: $i > $o).
1234.53/170.06	thf(decl_200, type, singletonprop: $o).
1234.53/170.06	thf(decl_201, type, ex1: $i > ($i > $o) > $o).
1234.53/170.06	thf(decl_202, type, ex1E1: $o).
1234.53/170.06	thf(decl_203, type, ex1I: $o).
1234.53/170.06	thf(decl_204, type, ex1I2: $o).
1234.53/170.06	thf(decl_205, type, singletonsuniq: $o).
1234.53/170.06	thf(decl_210, type, setukpairinjL1: $o).
1234.53/170.06	thf(decl_211, type, kfstsingleton: $o).
1234.53/170.06	thf(decl_212, type, theprop: $o).
1234.53/170.06	thf(decl_213, type, kfst: $i > $i).
1234.53/170.06	thf(decl_214, type, epred1_0: $o).
1234.53/170.06	thf(decl_215, type, esk1_2: $i > $i > $i).
1234.53/170.06	thf(decl_216, type, esk2_2: $i > $i > $i).
1234.53/170.06	thf(decl_217, type, esk3_2: $i > $i > $i).
1234.53/170.06	thf(decl_218, type, esk4_1: $i > $i).
1234.53/170.06	thf(decl_219, type, esk5_2: ($i > $i > $o) > $i > $i).
1234.53/170.06	thf(decl_220, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
1234.53/170.06	thf(decl_221, type, esk7_2: ($i > $i > $o) > $i > $i).
1234.53/170.06	thf(decl_222, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
1234.53/170.06	thf(decl_223, type, esk9_1: $i > $i).
1234.53/170.06	thf(decl_224, type, esk10_2: ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_225, type, esk11_2: ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_226, type, esk12_1: ($i > $o) > $i).
1234.53/170.06	thf(decl_227, type, esk13_2: ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_228, type, esk14_1: ($i > $o) > $i).
1234.53/170.06	thf(decl_229, type, esk15_2: $i > $i > $i).
1234.53/170.06	thf(decl_230, type, esk16_2: $i > $i > $i).
1234.53/170.06	thf(decl_231, type, esk17_1: $i > $i).
1234.53/170.06	thf(decl_232, type, esk18_1: $i > $i).
1234.53/170.06	thf(decl_233, type, esk19_1: $i > $i).
1234.53/170.06	thf(decl_234, type, esk20_2: $i > $i > $i).
1234.53/170.06	thf(decl_235, type, esk21_3: $i > $i > $o > $i).
1234.53/170.06	thf(decl_236, type, esk22_2: ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_237, type, esk23_1: ($i > $o) > $i).
1234.53/170.06	thf(decl_238, type, esk24_1: $i > $i).
1234.53/170.06	thf(decl_239, type, esk25_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_240, type, esk26_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_241, type, esk27_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_242, type, esk28_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_243, type, esk29_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_244, type, esk30_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_245, type, esk31_2: ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_246, type, esk32_1: ($i > $o) > $i).
1234.53/170.06	thf(decl_247, type, esk33_1: ($i > $o) > $i).
1234.53/170.06	thf(decl_248, type, esk34_1: ($i > $o) > $i).
1234.53/170.06	thf(decl_249, type, esk35_1: ($i > $o) > $i).
1234.53/170.06	thf(decl_250, type, esk36_2: ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_251, type, esk37_1: ($i > $o) > $i).
1234.53/170.06	thf(decl_252, type, esk38_2: ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_253, type, esk39_2: ($i > $o) > ($i > $o) > $i).
1234.53/170.06	thf(decl_254, type, esk40_2: ($i > $o) > ($i > $o) > $i).
1234.53/170.06	thf(decl_255, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_256, type, esk42_2: ($i > $o) > ($i > $o) > $i).
1234.53/170.06	thf(decl_257, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_258, type, esk44_2: ($i > $o) > ($i > $o) > $i).
1234.53/170.06	thf(decl_259, type, esk45_2: ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_260, type, esk46_2: ($i > $o) > ($i > $o) > $i).
1234.53/170.06	thf(decl_261, type, esk47_2: ($i > $o) > ($i > $o) > $i).
1234.53/170.06	thf(decl_262, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_263, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_264, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
1234.53/170.06	thf(decl_265, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
1234.53/170.06	thf(decl_266, type, esk52_2: $i > $i > $i).
1234.53/170.06	thf(decl_267, type, esk53_2: $i > $i > $i).
1234.53/170.06	thf(decl_268, type, esk54_2: $i > $i > $i).
1234.53/170.06	thf(decl_269, type, esk55_2: $i > $i > $i).
1234.53/170.06	thf(decl_270, type, esk56_2: $i > $i > $i).
1234.53/170.06	thf(decl_271, type, esk57_2: $i > $i > $i).
1234.53/170.06	thf(decl_272, type, esk58_2: $i > $i > $i).
1234.53/170.06	thf(decl_273, type, esk59_3: $i > $i > $i > $i).
1234.53/170.06	thf(decl_274, type, esk60_3: $i > $i > $i > $i).
1234.53/170.06	thf(decl_275, type, esk61_3: $i > $i > $i > $i).
1234.53/170.06	thf(decl_276, type, esk62_3: $i > $i > $i > $i).
1234.53/170.06	thf(decl_277, type, esk63_2: $i > $i > $i).
1234.53/170.06	thf(decl_278, type, esk64_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_279, type, esk65_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_280, type, esk66_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_281, type, esk67_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_282, type, esk68_3: $i > ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_283, type, esk69_3: $i > ($i > $o) > $i > $i).
1234.53/170.06	thf(decl_284, type, esk70_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_285, type, esk71_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_286, type, esk72_2: $i > ($i > $o) > $i).
1234.53/170.06	thf(decl_287, type, esk73_1: $i > $i).
1234.53/170.06	thf(decl_288, type, esk74_0: $i).
1234.53/170.06	thf(decl_289, type, esk75_0: $i).
1234.53/170.06	thf(decl_295, type, epred2_1: $i > $i > $o).
1234.53/170.06	thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', ex1)).
1234.53/170.06	thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:(((in @ X2 @ X4)&((X4)=(setadjoin @ X2 @ emptyset))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', singleton)).
1234.53/170.06	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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', replAx)).
1234.53/170.06	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', exu)).
1234.53/170.06	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', descrp)).
1234.53/170.06	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', exuE1)).
1234.53/170.06	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', exuE3e)).
1234.53/170.06	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', nonempty)).
1234.53/170.06	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', nonemptyI)).
1234.53/170.06	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', exuE2)).
1234.53/170.06	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.X7TolAWCbC/E---3.1_25415.p', exuI1)).
1234.53/170.06	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', exuI3)).
1234.53/170.06	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', exuI2)).
1234.53/170.06	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.X7TolAWCbC/E---3.1_25415.p', exuE3u)).
1234.53/170.06	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', exu__Cong)).
1234.53/170.06	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', exuEu)).
1234.53/170.06	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', descr__Cong)).
1234.53/170.06	thf(iskpair, axiom, ((iskpair)=(^[X4:$i]:(?[X2:$i]:(((in @ X2 @ (setunion @ X4))&?[X3:$i]:(((in @ X3 @ (setunion @ X4))&((X4)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', iskpair)).
1234.53/170.06	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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', singletonprop)).
1234.53/170.06	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', ex1E1)).
1234.53/170.06	thf(ex1I, axiom, ((ex1I)<=>![X4:$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.X7TolAWCbC/E---3.1_25415.p', ex1I)).
1234.53/170.06	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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', ex1I2)).
1234.53/170.06	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', kfstsingleton)).
1234.53/170.06	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', dsetconstrI)).
1234.53/170.06	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', dsetconstrEL)).
1234.53/170.06	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', dsetconstrER)).
1234.53/170.06	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setbeta)).
1234.53/170.06	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', nonemptyE1)).
1234.53/170.06	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', nonemptyI1)).
1234.53/170.06	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setoftrueEq)).
1234.53/170.06	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', nonemptyImpWitness)).
1234.53/170.06	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.X7TolAWCbC/E---3.1_25415.p', emptyE1)).
1234.53/170.06	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', dsetconstr__Cong)).
1234.53/170.06	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', sepInPowerset)).
1234.53/170.06	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', sepSubset)).
1234.53/170.06	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.X7TolAWCbC/E---3.1_25415.p', kpairiskpair)).
1234.53/170.06	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', kpairp)).
1234.53/170.06	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', cartprodmempair)).
1234.53/170.06	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', theprop)).
1234.53/170.06	thf(kfstpairEq, conjecture, (((((powersetAx)=>(((omega0Ax)=>((omegaSAx)=>((((foundationAx)=>((wellorderingAx)=>((((dsetconstrEL)=>(((exuE1)=>((((emptysetimpfalse)=>(((exuE3e)=>(((emptyI)=>((noeltsimpempty)=>(((nonemptyE1)=>((((setadjoinIL)=>(((((setadjoinOr)=>((((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>(((exuE2)=>(((((eqinunit)=>((singletonsswitch)=>((upairsetE)=>(((upairsetIR)=>(((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((((emptyset__Cong)=>(((powerset__Cong)=>(((omega__Cong)=>(((((((((emptysetsubset)=>((subsetE)=>(((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((((subset2powerset)=>(((subsetemptysetimpeq)=>(((((powersetsubset)=>(((((((((binunionLsub)=>((binunionRsub)=>(((binintersectSubset5)=>((binintersectEL)=>(((binintersectSubset2)=>((binintersectSubset3)=>(((((binintersectSubset4)=>((((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>(((((setminusLsub)=>(((symdiffE)=>((((symdiffIneg1)=>(((((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>(((((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>(((((setunionE2)=>((((setunionsingleton)=>(((((ex1I2)=>((singletonsuniq)=>(((kfstsingleton)=>((theprop)=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))))<=(setukpairinjL1))))<=(ex1I))<=(ex1E1))<=(singletonprop)))<=(setunionsingleton2))<=(setunionsingleton1)))<=(cartprodmempair))<=(cartprodmempair1))<=(cartprodpairin)))))<=(upairinpowunion))<=(upairsubunion))<=(upairset2E))))))))<=(setukpairIL))<=(secondinupair))<=(symdiffIneg2)))<=(symdiffI2))<=(symdiffI1)))<=(setminusSubset1)))<=(setminusIRneg))<=(setminusILneg))<=(setminusELneg)))))))<=(bs114d))<=(binintersectSubset1)))<=(binintersectRsub))<=(disjointsetsI1))<=(binintersectER))))<=(binintersectLsub))))<=(binintersectI))))<=(binunionE))<=(binunionEcases))<=(binunionIR))<=(upairset2IR))<=(binunionIL))<=(sepSubset))<=(sepInPowerset)))<=(inPowerset))<=(powersetE1))<=(powersetI1)))<=(setextsub)))<=(setadjoinSub2))<=(setadjoinSub)))))))<=(subsetE2))))<=(subsetI2))<=(eqimpsubset1))<=(eqimpsubset2))<=(subsetI1))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu)))<=(setunion__Cong)))<=(setadjoin__Cong)))<=(exu__Cong))<=(exuE3u))))))<=(exuI1))<=(notdallE))))))))))<=(emptyE1)))<=(upairsetIL)))))<=(notinsingleton))<=(uniqinunit))<=(nonemptyImpWitness)))<=(subPowSU)))))))<=(powersetI))<=(setoftrueEq)))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty)))<=(nonemptyI1))<=(nonemptyI)))<=(setbeta))))<=(setext)))<=(notinemptyset)))<=(emptysetE))<=(prop2setE)))<=(dsetconstrER)))<=(dsetconstrI))<=(descrp))))<=(replAx))<=(omegaIndAx))))<=(setunionAx)))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', kfstpairEq)).
1234.53/170.06	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setextAx)).
1234.53/170.06	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', emptysetAx)).
1234.53/170.06	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setadjoinAx)).
1234.53/170.06	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', powersetAx)).
1234.53/170.06	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setunionAx)).
1234.53/170.06	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', omega0Ax)).
1234.53/170.06	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', omegaSAx)).
1234.53/170.06	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', omegaIndAx)).
1234.53/170.06	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', foundationAx)).
1234.53/170.06	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.X7TolAWCbC/E---3.1_25415.p', wellorderingAx)).
1234.53/170.06	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', prop2setE)).
1234.53/170.06	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', emptysetE)).
1234.53/170.06	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', emptysetimpfalse)).
1234.53/170.06	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', notinemptyset)).
1234.53/170.06	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setext)).
1234.53/170.06	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', emptyI)).
1234.53/170.06	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', noeltsimpempty)).
1234.53/170.06	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setadjoinIL)).
1234.53/170.06	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', emptyinunitempty)).
1234.53/170.06	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setadjoinIR)).
1234.53/170.06	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.X7TolAWCbC/E---3.1_25415.p', setadjoinE)).
1234.53/170.06	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setadjoinOr)).
1234.53/170.06	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', powersetI)).
1234.53/170.06	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', emptyinPowerset)).
1234.53/170.06	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', emptyInPowerset)).
1234.53/170.06	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', powersetE)).
1234.53/170.06	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setunionI)).
1234.53/170.06	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.X7TolAWCbC/E---3.1_25415.p', setunionE)).
1234.53/170.06	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', subPowSU)).
1234.53/170.06	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', uniqinunit)).
1234.53/170.06	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', notinsingleton)).
1234.53/170.06	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', eqinunit)).
1234.53/170.06	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', singletonsswitch)).
1234.53/170.06	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', upairsetE)).
1234.53/170.06	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', upairsetIL)).
1234.53/170.06	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', upairsetIR)).
1234.53/170.06	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', vacuousDall)).
1234.53/170.06	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', quantDeMorgan1)).
1234.53/170.06	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', quantDeMorgan2)).
1234.53/170.06	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', quantDeMorgan3)).
1234.53/170.06	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', quantDeMorgan4)).
1234.53/170.06	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', prop2setI)).
1234.53/170.06	thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', prop2set2propI)).
1234.53/170.06	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', notdexE)).
1234.53/170.06	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', notdallE)).
1234.53/170.06	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', inCongP)).
1234.53/170.06	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', in__Cong)).
1234.53/170.06	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', emptyset__Cong)).
1234.53/170.06	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setadjoin__Cong)).
1234.53/170.06	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', powerset__Cong)).
1234.53/170.06	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setunion__Cong)).
1234.53/170.06	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', omega__Cong)).
1234.53/170.06	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', subsetI1)).
1234.53/170.06	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', eqimpsubset2)).
1234.53/170.06	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', eqimpsubset1)).
1234.53/170.06	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', subsetI2)).
1234.53/170.06	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', emptysetsubset)).
1234.53/170.06	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', subsetE)).
1234.53/170.06	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', subsetE2)).
1234.53/170.06	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', notsubsetI)).
1234.53/170.06	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', notequalI1)).
1234.53/170.06	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', notequalI2)).
1234.53/170.06	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', subsetRefl)).
1234.53/170.06	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', subsetTrans)).
1234.53/170.06	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setadjoinSub)).
1234.53/170.06	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setadjoinSub2)).
1234.53/170.06	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', subset2powerset)).
1234.53/170.06	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setextsub)).
1234.53/170.06	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', subsetemptysetimpeq)).
1234.53/170.06	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', powersetI1)).
1234.53/170.06	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', powersetE1)).
1234.53/170.06	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', inPowerset)).
1234.53/170.06	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', powersetsubset)).
1234.53/170.06	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binunionIL)).
1234.53/170.06	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', upairset2IR)).
1234.53/170.06	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binunionIR)).
1234.53/170.06	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binunionEcases)).
1234.53/170.06	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binunionE)).
1234.53/170.06	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binunionLsub)).
1234.53/170.06	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binunionRsub)).
1234.53/170.06	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binintersectI)).
1234.53/170.06	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binintersectSubset5)).
1234.53/170.06	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binintersectEL)).
1234.53/170.06	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binintersectLsub)).
1234.53/170.06	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binintersectSubset2)).
1234.53/170.06	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binintersectSubset3)).
1234.53/170.06	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binintersectER)).
1234.53/170.06	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', disjointsetsI1)).
1234.53/170.06	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binintersectRsub)).
1234.53/170.06	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binintersectSubset4)).
1234.53/170.06	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', binintersectSubset1)).
1234.53/170.06	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', bs114d)).
1234.53/170.06	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setminusI)).
1234.53/170.06	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setminusEL)).
1234.53/170.06	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setminusER)).
1234.53/170.06	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setminusSubset2)).
1234.53/170.06	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setminusERneg)).
1234.53/170.06	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setminusELneg)).
1234.53/170.06	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setminusILneg)).
1234.53/170.06	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setminusIRneg)).
1234.53/170.06	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setminusLsub)).
1234.53/170.06	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setminusSubset1)).
1234.53/170.06	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', symdiffE)).
1234.53/170.06	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', symdiffI1)).
1234.53/170.06	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', symdiffI2)).
1234.53/170.06	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', symdiffIneg1)).
1234.53/170.06	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', symdiffIneg2)).
1234.53/170.06	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', secondinupair)).
1234.53/170.06	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setukpairIL)).
1234.53/170.06	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setukpairIR)).
1234.53/170.06	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', singletonsubset)).
1234.53/170.06	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', singletoninpowerset)).
1234.53/170.06	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', singletoninpowunion)).
1234.53/170.06	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', upairset2E)).
1234.53/170.06	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', upairsubunion)).
1234.53/170.06	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', upairinpowunion)).
1234.53/170.06	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', ubforcartprodlem1)).
1234.53/170.06	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', ubforcartprodlem2)).
1234.53/170.06	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', ubforcartprodlem3)).
1234.53/170.06	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', cartprodpairin)).
1234.53/170.06	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$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.X7TolAWCbC/E---3.1_25415.p', cartprodmempair1)).
1234.53/170.06	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setunionE2)).
1234.53/170.06	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setunionsingleton1)).
1234.53/170.06	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setunionsingleton2)).
1234.53/170.06	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setunionsingleton)).
1234.53/170.06	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', singletonsuniq)).
1234.53/170.06	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', setukpairinjL1)).
1234.53/170.06	thf(kpair, axiom, ((kpair)=(^[X2:$i, X3:$i]:(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', kpair)).
1234.53/170.06	thf(kfst, axiom, ((kfst)=(^[X18:$i]:(setunion @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.X7TolAWCbC/E---3.1_25415.p', kfst)).
1234.53/170.06	thf(c_0_169, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X495:$i]:(((in @ X495 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X495 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[ex1])).
1234.53/170.06	thf(c_0_170, plain, ((singleton)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&((Z0)=(setadjoin @ X2 @ emptyset))))))), inference(fof_simplification,[status(thm)],[singleton])).
1234.53/170.06	thf(c_0_171, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
1234.53/170.06	thf(c_0_172, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
1234.53/170.06	thf(c_0_173, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
1234.53/170.06	thf(c_0_174, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
1234.53/170.06	thf(c_0_175, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
1234.53/170.06	thf(c_0_176, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
1234.53/170.06	thf(c_0_177, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
1234.53/170.06	thf(c_0_178, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
1234.53/170.06	thf(c_0_179, 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])).
1234.53/170.06	thf(c_0_180, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
1234.53/170.06	thf(c_0_181, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
1234.53/170.06	thf(c_0_182, 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])).
1234.53/170.06	thf(c_0_183, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
1234.53/170.06	thf(c_0_184, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
1234.53/170.06	thf(c_0_185, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
1234.53/170.06	thf(c_0_186, plain, ((iskpair)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ (setunion @ Z0))&?[X3:$i]:(((in @ X3 @ (setunion @ Z0))&((Z0)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))), inference(fof_simplification,[status(thm)],[iskpair])).
1234.53/170.06	thf(c_0_187, 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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
1234.53/170.06	thf(c_0_188, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
1234.53/170.06	thf(c_0_189, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X495:$i]:(((in @ X495 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X495 @ emptyset)))))))), inference(apply_def,[status(thm)],[c_0_169, c_0_170])).
1234.53/170.06	thf(c_0_190, 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])).
1234.53/170.06	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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
1234.53/170.06	thf(c_0_192, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
1234.53/170.06	thf(c_0_193, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X460:$i]:((((X6 @ X2 @ X460))&![X461:$i]:((((X6 @ X2 @ X461))=>((X460)=(X461)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_171, c_0_172])).
1234.53/170.06	thf(c_0_194, plain, ((descrp)=(![X1:$i > $o]:(((?[X462:$i]:((((X1 @ X462))&![X463:$i]:((((X1 @ X463))=>((X462)=(X463)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_173, c_0_172])).
1234.53/170.06	thf(c_0_195, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
1234.53/170.06	thf(c_0_196, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
1234.53/170.06	thf(c_0_197, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
1234.53/170.06	thf(c_0_198, plain, ((exuE1)=(![X1:$i > $o]:(((?[X464:$i]:((((X1 @ X464))&![X465:$i]:((((X1 @ X465))=>((X464)=(X465)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_174, c_0_172])).
1234.53/170.06	thf(c_0_199, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X466:$i]:((((X1 @ X466))&![X467:$i]:((((X1 @ X467))=>((X466)=(X467)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_175, c_0_172])).
1234.53/170.06	thf(c_0_200, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
1234.53/170.06	thf(c_0_201, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_176])).
1234.53/170.06	thf(c_0_202, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_177, c_0_176])).
1234.53/170.06	thf(c_0_203, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_176])).
1234.53/170.06	thf(c_0_204, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
1234.53/170.06	thf(c_0_205, plain, ((exuE2)=(![X1:$i > $o]:(((?[X468:$i]:((((X1 @ X468))&![X469:$i]:((((X1 @ X469))=>((X468)=(X469)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_178, c_0_172])).
1234.53/170.06	thf(c_0_206, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_176])).
1234.53/170.06	thf(c_0_207, 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])).
1234.53/170.06	thf(c_0_208, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X470:$i]:((((X1 @ X470))&![X471:$i]:((((X1 @ X471))=>((X470)=(X471))))))))))), inference(apply_def,[status(thm)],[c_0_179, c_0_172])).
1234.53/170.06	thf(c_0_209, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X472:$i]:((((X1 @ X472))&![X473:$i]:((((X1 @ X473))=>((X472)=(X473)))))))))))), inference(apply_def,[status(thm)],[c_0_180, c_0_172])).
1234.53/170.06	thf(c_0_210, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X474:$i]:((((X1 @ X474))&![X475:$i]:((((X1 @ X475))=>((X474)=(X475))))))))))), inference(apply_def,[status(thm)],[c_0_181, c_0_172])).
1234.53/170.06	thf(c_0_211, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X476:$i]:((((X1 @ X476))&![X477:$i]:((((X1 @ X477))=>((X476)=(X477)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_182, c_0_172])).
1234.53/170.06	thf(c_0_212, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X478:$i]:((((X1 @ X478))&![X479:$i]:((((X1 @ X479))=>((X478)=(X479)))))))<=>(?[X480:$i]:((((X17 @ X480))&![X481:$i]:((((X17 @ X481))=>((X480)=(X481)))))))))))), inference(apply_def,[status(thm)],[c_0_183, c_0_172])).
1234.53/170.06	thf(c_0_213, plain, ((exuEu)=(![X1:$i > $o]:(((?[X482:$i]:((((X1 @ X482))&![X483:$i]:((((X1 @ X483))=>((X482)=(X483)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_184, c_0_172])).
1234.53/170.06	thf(c_0_214, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X484:$i]:((((X1 @ X484))&![X485:$i]:((((X1 @ X485))=>((X484)=(X485)))))))=>((?[X486:$i]:((((X17 @ X486))&![X487:$i]:((((X17 @ X487))=>((X486)=(X487)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_185, c_0_172])).
1234.53/170.06	thf(c_0_215, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
1234.53/170.06	thf(c_0_216, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
1234.53/170.06	thf(c_0_217, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
1234.53/170.06	thf(c_0_218, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X488:$i]:(((in @ X488 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))&?[X489:$i]:(((in @ X489 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X488 @ emptyset) @ (setadjoin @ (setadjoin @ X488 @ (setadjoin @ X489 @ emptyset)) @ emptyset))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_186])).
1234.53/170.06	thf(c_0_219, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X490:$i]:(((in @ X490 @ (setunion @ (kpair @ X2 @ X3)))&?[X491:$i]:(((in @ X491 @ (setunion @ (kpair @ X2 @ X3)))&((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X490 @ emptyset) @ (setadjoin @ (setadjoin @ X490 @ (setadjoin @ X491 @ emptyset)) @ emptyset))))))))))), inference(apply_def,[status(thm)],[kpairp, c_0_186])).
1234.53/170.06	thf(c_0_220, axiom, ((cartprodmempair)=(![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(?[X492:$i]:(((in @ X492 @ (setunion @ X18))&?[X493:$i]:(((in @ X493 @ (setunion @ X18))&((X18)=(setadjoin @ (setadjoin @ X492 @ emptyset) @ (setadjoin @ (setadjoin @ X492 @ (setadjoin @ X493 @ emptyset)) @ emptyset)))))))))))), inference(apply_def,[status(thm)],[cartprodmempair, c_0_186])).
1234.53/170.06	thf(c_0_221, plain, ((singletonprop)=(![X4:$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)))=>(?[X494:$i]:(((in @ X494 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(setadjoin @ X494 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_187, c_0_170])).
1234.53/170.06	thf(c_0_222, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:(((?[X496:$i]:(((in @ X496 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X496 @ emptyset)))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_188, c_0_189])).
1234.53/170.06	thf(c_0_223, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(?[X497:$i]:(((in @ X497 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X497 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_190, c_0_189])).
1234.53/170.06	thf(c_0_224, 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)))=>(?[X498:$i]:(((in @ X498 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X498 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_191, c_0_189])).
1234.53/170.06	thf(c_0_225, plain, ((kfstsingleton)=(![X18:$i]:(((?[X499:$i]:(((in @ X499 @ (setunion @ X18))&?[X500:$i]:(((in @ X500 @ (setunion @ X18))&((X18)=(setadjoin @ (setadjoin @ X499 @ emptyset) @ (setadjoin @ (setadjoin @ X499 @ (setadjoin @ X500 @ emptyset)) @ emptyset))))))))=>(?[X501:$i]:(((in @ X501 @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))&((dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X501 @ emptyset))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_192, c_0_186]), c_0_170])).
1234.53/170.06	thf(c_0_226, axiom, ((theprop)=(![X21:$i]:(((?[X502:$i]:(((in @ X502 @ X21)&((X21)=(setadjoin @ X502 @ emptyset)))))=>(in @ (setunion @ X21) @ X21))))), inference(apply_def,[status(thm)],[theprop, c_0_170])).
1234.53/170.06	thf(c_0_227, plain, ((epred1_0)<=>![X511:$i]:(?[X512:$i]:((((![X513:$i]:(((in @ X513 @ X512)=>![X514:$i]:(((in @ X514 @ X513)=>(in @ X514 @ X511)))))&![X515:$i, X516:$i]:((((in @ X515 @ X511)&(in @ X516 @ X511))=>(![X517:$i]:(((in @ X517 @ X512)=>((in @ X515 @ X517)<=>(in @ X516 @ X517))))=>((X515)=(X516))))))&![X518:$i, X519:$i]:((((in @ X518 @ X512)&(in @ X519 @ X512))=>(![X520:$i]:(((in @ X520 @ X518)=>(in @ X520 @ X519)))|![X521:$i]:(((in @ X521 @ X519)=>(in @ X521 @ X518)))))))&![X522:$i]:(((![X523:$i]:(((in @ X523 @ X522)=>(in @ X523 @ X511)))&?[X524:$i]:((in @ X524 @ X522)))=>?[X525:$i, X526:$i]:(((((in @ X525 @ X512)&(in @ X526 @ X522))&~(?[X527:$i]:(((in @ X527 @ X525)&(in @ X527 @ X522)))))&![X528:$i]:(((in @ X528 @ X512)=>(![X529:$i]:(((in @ X529 @ X528)=>(in @ X529 @ X525)))|(in @ X526 @ X528)))))))))))), introduced(definition)).
1234.53/170.06	thf(c_0_228, negated_conjecture, ~((![X978:$i, X979:$i]:((![X980:$i]:(((in @ X980 @ X978)<=>(in @ X980 @ X979)))=>((X978)=(X979))))=>(![X977:$i]:(~(in @ X977 @ emptyset))=>(![X974:$i, X975:$i, X976:$i]:(((in @ X976 @ (setadjoin @ X974 @ X975))<=>(((X976)=(X974))|(in @ X976 @ X975))))=>(![X503:$i, X504:$i]:(((in @ X504 @ (powerset @ X503))<=>![X505:$i]:(((in @ X505 @ X504)=>(in @ X505 @ X503)))))=>(![X971:$i, X972:$i]:(((in @ X972 @ (setunion @ X971))<=>?[X973:$i]:(((in @ X972 @ X973)&(in @ X973 @ X971)))))=>((in @ emptyset @ omega)=>(![X506:$i]:(((in @ X506 @ omega)=>(in @ (setadjoin @ X506 @ X506) @ omega)))=>(![X968:$i]:((((in @ emptyset @ X968)&![X969:$i]:((((in @ X969 @ omega)&(in @ X969 @ X968))=>(in @ (setadjoin @ X969 @ X969) @ X968))))=>![X970:$i]:(((in @ X970 @ omega)=>(in @ X970 @ X968)))))=>(![X960:$i > $i > $o, X961:$i]:((![X962:$i]:(((in @ X962 @ X961)=>?[X963:$i]:(((X960 @ X962 @ X963)&![X964:$i]:(((X960 @ X962 @ X964)=>((X963)=(X964))))))))=>?[X965:$i]:(![X966:$i]:(((in @ X966 @ X965)<=>?[X967:$i]:(((in @ X967 @ X961)&(X960 @ X967 @ X966))))))))=>(![X507:$i]:((?[X508:$i]:((in @ X508 @ X507))=>?[X509:$i]:(((in @ X509 @ X507)&~(?[X510:$i]:(((in @ X510 @ X509)&(in @ X510 @ X507))))))))=>((epred1_0)=>(![X957:$i > $o]:((?[X958:$i]:(((X957 @ X958)&![X959:$i]:(((X957 @ X959)=>((X958)=(X959))))))=>(X957 @ (descr @ (^[Z0/* 17 */:$i]:(X957 @ Z0))))))=>(![X954:$i, X955:$i > $o, X956:$i]:(((in @ X956 @ X954)=>((X955 @ X956)=>(in @ X956 @ (dsetconstr @ X954 @ X955)))))=>(![X530:$i, X531:$i > $o, X532:$i]:(((in @ X532 @ (dsetconstr @ X530 @ X531))=>(in @ X532 @ X530)))=>(![X951:$i, X952:$i > $o, X953:$i]:(((in @ X953 @ (dsetconstr @ X951 @ X952))=>(X952 @ X953)))=>(![X533:$i > $o]:((?[X534:$i]:(((X533 @ X534)&![X535:$i]:(((X533 @ X535)=>((X534)=(X535))))))=>?[X536:$i]:(((X533 @ X536)&![X537:$i]:(((X533 @ X537)=>((X536)=(X537))))))))=>(![X949:$o, X950:$i]:(((in @ X950 @ (prop2set @ ((X949))))=>(X949)))=>(![X947:$i]:(((in @ X947 @ emptyset)=>![X948:$o]:((X948))))=>(![X538:$i]:(((in @ X538 @ emptyset)=>~($true)))=>(![X946:$i]:(~(in @ X946 @ emptyset))=>(![X539:$i > $o]:((?[X540:$i]:(((X539 @ X540)&![X541:$i]:(((X539 @ X541)=>((X540)=(X541))))))=>?[X542:$i]:((X539 @ X542))))=>(![X942:$i, X943:$i]:((![X944:$i]:(((in @ X944 @ X942)=>(in @ X944 @ X943)))=>(![X945:$i]:(((in @ X945 @ X943)=>(in @ X945 @ X942)))=>((X942)=(X943)))))=>(![X543:$i]:((![X544:$i]:(~(in @ X544 @ X543))=>((X543)=(emptyset))))=>(![X545:$i]:((![X546:$i]:(~(in @ X546 @ X545))=>((X545)=(emptyset))))=>(![X939:$i, X940:$i > $o, X941:$i]:(((in @ X941 @ X939)=>((in @ X941 @ (dsetconstr @ X939 @ X940))<=>(X940 @ X941))))=>(![X547:$i]:((((X547)!=(emptyset))=>?[X548:$i]:((in @ X548 @ X547))))=>(![X936:$i, X937:$i > $o, X938:$i]:(((in @ X938 @ X936)=>((X937 @ X938)=>((dsetconstr @ X936 @ X937)!=(emptyset)))))=>(![X934:$i]:((?[X935:$i]:((in @ X935 @ X934))=>((X934)!=(emptyset))))=>(![X549:$i, X550:$i]:((in @ X549 @ (setadjoin @ X549 @ X550)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X931:$i, X932:$i, X933:$i]:(((in @ X933 @ X932)=>(in @ X933 @ (setadjoin @ X931 @ X932))))=>(![X927:$i, X928:$i, X929:$i]:(((in @ X929 @ (setadjoin @ X927 @ X928))=>![X930:$o]:(((((X929)=(X927))=>(X930))=>(((in @ X929 @ X928)=>(X930))=>(X930))))))=>(![X551:$i, X552:$i, X553:$i]:(((in @ X553 @ (setadjoin @ X551 @ X552))=>(((X553)=(X551))|(in @ X553 @ X552))))=>(![X926:$i]:(((dsetconstr @ X926 @ (^[Z0/* 1 */:$i]:($true)))=(X926)))=>(![X923:$i, X924:$i]:((![X925:$i]:(((in @ X925 @ X924)=>(in @ X925 @ X923)))=>(in @ X924 @ (powerset @ X923))))=>(![X554:$i]:((in @ emptyset @ (powerset @ X554)))=>(![X555:$i]:((in @ emptyset @ (powerset @ X555)))=>(![X556:$i, X557:$i, X558:$i]:(((in @ X557 @ (powerset @ X556))=>((in @ X558 @ X557)=>(in @ X558 @ X556))))=>(![X559:$i, X560:$i, X561:$i]:(((in @ X560 @ X561)=>((in @ X561 @ X559)=>(in @ X560 @ (setunion @ X559)))))=>(![X562:$i, X563:$i]:(((in @ X563 @ (setunion @ X562))=>![X564:$o]:((![X565:$i]:(((in @ X563 @ X565)=>((in @ X565 @ X562)=>(X564))))=>(X564)))))=>(![X921:$i, X922:$i]:(((in @ X922 @ X921)=>(in @ X922 @ (powerset @ (setunion @ X921)))))=>(![X566:$i > $o]:((?[X567:$i]:(((X566 @ X567)&![X568:$i]:(((X566 @ X568)=>((X567)=(X568))))))=>?[X569:$i]:(![X570:$i]:(((X566 @ X570)<=>((X570)=(X569)))))))=>(![X919:$i]:((((X919)!=(emptyset))=>?[X920:$i]:(((in @ X920 @ X919)&$true))))=>(![X917:$i, X918:$i]:(((in @ X917 @ (setadjoin @ X918 @ emptyset))=>((X917)=(X918))))=>(![X915:$i, X916:$i]:((((X915)!=(X916))=>~(in @ X916 @ (setadjoin @ X915 @ emptyset))))=>(![X571:$i, X572:$i]:((((X571)=(X572))=>(in @ X571 @ (setadjoin @ X572 @ emptyset))))=>(![X573:$i, X574:$i]:(((in @ X573 @ (setadjoin @ X574 @ emptyset))=>(in @ X574 @ (setadjoin @ X573 @ emptyset))))=>(![X575:$i, X576:$i, X577:$i]:(((in @ X577 @ (setadjoin @ X575 @ (setadjoin @ X576 @ emptyset)))=>(((X577)=(X575))|((X577)=(X576)))))=>(![X913:$i, X914:$i]:((in @ X913 @ (setadjoin @ X913 @ (setadjoin @ X914 @ emptyset))))=>(![X578:$i, X579:$i]:((in @ X579 @ (setadjoin @ X578 @ (setadjoin @ X579 @ emptyset))))=>(![X910:$i, X911:$i > $o]:((?[X912:$i]:(((in @ X912 @ X910)&(X911 @ X912)))=>(((dsetconstr @ X910 @ X911)=(emptyset))=>~($true))))=>(![X580:$i > $o, X581:$i]:(((in @ X581 @ emptyset)=>(X580 @ X581)))=>(![X582:$i, X583:$i > $o]:((~(![X584:$i]:(((in @ X584 @ X582)=>(X583 @ X584))))=>?[X585:$i]:(((in @ X585 @ X582)&~((X583 @ X585))))))=>(![X586:$i, X587:$i > $o]:((![X588:$i]:(((in @ X588 @ X586)=>~((X587 @ X588))))=>~(?[X589:$i]:(((in @ X589 @ X586)&(X587 @ X589))))))=>(![X590:$i, X591:$i > $o]:((~(?[X592:$i]:(((in @ X592 @ X590)&(X591 @ X592))))=>![X593:$i]:(((in @ X593 @ X590)=>~((X591 @ X593))))))=>(![X594:$i, X595:$i > $o]:((?[X596:$i]:(((in @ X596 @ X594)&~((X595 @ X596))))=>~(![X597:$i]:(((in @ X597 @ X594)=>(X595 @ X597))))))=>(![X598:$o]:(((X598)=>(in @ emptyset @ (prop2set @ ((X598))))))=>(![X599:$o]:(((X599)=>(set2prop @ (prop2set @ ((X599))))))=>(![X600:$i, X601:$i > $o]:((~(?[X602:$i]:(((in @ X602 @ X600)&(X601 @ X602))))=>![X603:$i]:(((in @ X603 @ X600)=>~((X601 @ X603))))))=>(![X906:$i, X907:$i > $o]:((~(![X908:$i]:(((in @ X908 @ X906)=>(X907 @ X908))))=>?[X909:$i]:(((in @ X909 @ X906)&~((X907 @ X909))))))=>(![X901:$i > $o]:((?[X902:$i]:(((X901 @ X902)&![X903:$i]:(((X901 @ X903)=>((X902)=(X903))))))=>?[X904:$i]:(((X901 @ X904)&![X905:$i]:(((X901 @ X905)=>((X904)=(X905))))))))=>(![X604:$i > $o]:((?[X605:$i]:((X604 @ X605))=>(![X606:$i, X607:$i]:(((X604 @ X606)=>((X604 @ X607)=>((X606)=(X607)))))=>?[X608:$i]:(((X604 @ X608)&![X609:$i]:(((X604 @ X609)=>((X608)=(X609)))))))))=>(![X610:$i > $o]:((?[X611:$i]:(![X612:$i]:(((X610 @ X612)<=>((X612)=(X611)))))=>?[X613:$i]:(((X610 @ X613)&![X614:$i]:(((X610 @ X614)=>((X613)=(X614))))))))=>(![X615:$i, X616:$i]:((((X615)=(X616))=>![X617:$i, X618:$i]:((((X617)=(X618))=>((in @ X617 @ X615)=>(in @ X618 @ X616))))))=>(![X619:$i, X620:$i]:((((X619)=(X620))=>![X621:$i, X622:$i]:((((X621)=(X622))=>((in @ X621 @ X619)<=>(in @ X622 @ X620))))))=>(![X896:$i > $o]:((?[X897:$i]:(((X896 @ X897)&![X898:$i]:(((X896 @ X898)=>((X897)=(X898))))))=>![X899:$i, X900:$i]:(((X896 @ X899)=>((X896 @ X900)=>((X899)=(X900)))))))=>(![X888:$i > $o, X889:$i > $o]:((![X890:$i, X891:$i]:((((X890)=(X891))=>((X888 @ X890)<=>(X889 @ X891))))=>(?[X892:$i]:(((X888 @ X892)&![X893:$i]:(((X888 @ X893)=>((X892)=(X893))))))<=>?[X894:$i]:(((X889 @ X894)&![X895:$i]:(((X889 @ X895)=>((X894)=(X895)))))))))=>(((emptyset)=(emptyset))=>(![X884:$i, X885:$i]:((((X884)=(X885))=>![X886:$i, X887:$i]:((((X886)=(X887))=>((setadjoin @ X884 @ X886)=(setadjoin @ X885 @ X887))))))=>(![X623:$i, X624:$i]:((((X623)=(X624))=>((powerset @ X623)=(powerset @ X624))))=>(![X882:$i, X883:$i]:((((X882)=(X883))=>((setunion @ X882)=(setunion @ X883))))=>(((omega)=(omega))=>(![X877:$i > $o]:((?[X878:$i]:(((X877 @ X878)&![X879:$i]:(((X877 @ X879)=>((X878)=(X879))))))=>![X880:$i, X881:$i]:(((X877 @ X880)=>((X877 @ X881)=>((X880)=(X881)))))))=>(![X869:$i > $o, X870:$i > $o]:((![X871:$i, X872:$i]:((((X871)=(X872))=>((X869 @ X871)<=>(X870 @ X872))))=>(?[X873:$i]:(((X869 @ X873)&![X874:$i]:(((X869 @ X874)=>((X873)=(X874))))))=>(?[X875:$i]:(((X870 @ X875)&![X876:$i]:(((X870 @ X876)=>((X875)=(X876))))))=>((descr @ X869)=(descr @ X870))))))=>(![X863:$i, X864:$i]:((((X863)=(X864))=>![X865:$i > $o, X866:$i > $o]:((![X867:$i]:(((in @ X867 @ X863)=>![X868:$i]:(((in @ X868 @ X864)=>(((X867)=(X868))=>((X865 @ X867)<=>(X866 @ X868)))))))=>((dsetconstr @ X863 @ X865)=(dsetconstr @ X864 @ X866))))))=>(![X860:$i, X861:$i]:((![X862:$i]:(((in @ X862 @ X860)=>(in @ X862 @ X861)))=>(subset @ X860 @ X861)))=>(![X858:$i, X859:$i]:((((X858)=(X859))=>(subset @ X859 @ X858)))=>(![X856:$i, X857:$i]:((((X856)=(X857))=>(subset @ X856 @ X857)))=>(![X853:$i, X854:$i]:((![X855:$i]:(((in @ X855 @ X853)=>(in @ X855 @ X854)))=>(subset @ X853 @ X854)))=>(![X625:$i]:((subset @ emptyset @ X625))=>(![X626:$i, X627:$i, X628:$i]:(((subset @ X626 @ X627)=>((in @ X628 @ X626)=>(in @ X628 @ X627))))=>(![X850:$i, X851:$i, X852:$i]:(((subset @ X850 @ X851)=>(~(in @ X852 @ X851)=>~(in @ X852 @ X850))))=>(![X629:$i, X630:$i, X631:$i]:(((in @ X631 @ X629)=>(~(in @ X631 @ X630)=>~(subset @ X629 @ X630))))=>(![X632:$i, X633:$i]:((~(subset @ X632 @ X633)=>((X632)!=(X633))))=>(![X634:$i, X635:$i, X636:$i]:(((in @ X636 @ X634)=>(~(in @ X636 @ X635)=>((X634)!=(X635)))))=>(![X637:$i]:((subset @ X637 @ X637))=>(![X638:$i, X639:$i, X640:$i]:(((subset @ X638 @ X639)=>((subset @ X639 @ X640)=>(subset @ X638 @ X640))))=>(![X848:$i, X849:$i]:((subset @ X849 @ (setadjoin @ X848 @ X849)))=>(![X845:$i, X846:$i, X847:$i]:(((subset @ X845 @ X847)=>(subset @ X845 @ (setadjoin @ X846 @ X847))))=>(![X641:$i, X642:$i]:(((subset @ X641 @ X642)=>(in @ X641 @ (powerset @ X642))))=>(![X843:$i, X844:$i]:(((subset @ X843 @ X844)=>((subset @ X844 @ X843)=>((X843)=(X844)))))=>(![X643:$i]:(((subset @ X643 @ emptyset)=>((X643)=(emptyset))))=>(![X841:$i, X842:$i]:(((subset @ X842 @ X841)=>(in @ X842 @ (powerset @ X841))))=>(![X839:$i, X840:$i]:(((in @ X840 @ (powerset @ X839))=>(subset @ X840 @ X839)))=>(![X838:$i]:((in @ X838 @ (powerset @ X838)))=>(![X644:$i, X645:$i]:(((subset @ X644 @ X645)=>(subset @ (powerset @ X644) @ (powerset @ X645))))=>(![X836:$i, X837:$i > $o]:((in @ (dsetconstr @ X836 @ X837) @ (powerset @ X836)))=>(![X834:$i, X835:$i > $o]:((subset @ (dsetconstr @ X834 @ X835) @ X834))=>(![X831:$i, X832:$i, X833:$i]:(((in @ X833 @ X831)=>(in @ X833 @ (binunion @ X831 @ X832))))=>(![X829:$i, X830:$i]:((in @ X830 @ (setadjoin @ X829 @ (setadjoin @ X830 @ emptyset))))=>(![X826:$i, X827:$i, X828:$i]:(((in @ X828 @ X827)=>(in @ X828 @ (binunion @ X826 @ X827))))=>(![X822:$i, X823:$i, X824:$i, X825:$o]:(((in @ X824 @ (binunion @ X822 @ X823))=>(((in @ X824 @ X822)=>(X825))=>(((in @ X824 @ X823)=>(X825))=>(X825)))))=>(![X819:$i, X820:$i, X821:$i]:(((in @ X821 @ (binunion @ X819 @ X820))=>((in @ X821 @ X819)|(in @ X821 @ X820))))=>(![X646:$i, X647:$i]:((subset @ X646 @ (binunion @ X646 @ X647)))=>(![X648:$i, X649:$i]:((subset @ X649 @ (binunion @ X648 @ X649)))=>(![X816:$i, X817:$i, X818:$i]:(((in @ X818 @ X816)=>((in @ X818 @ X817)=>(in @ X818 @ (binintersect @ X816 @ X817)))))=>(![X650:$i, X651:$i, X652:$i]:(((subset @ X652 @ X650)=>((subset @ X652 @ X651)=>(subset @ X652 @ (binintersect @ X650 @ X651)))))=>(![X653:$i, X654:$i, X655:$i]:(((in @ X655 @ (binintersect @ X653 @ X654))=>(in @ X655 @ X653)))=>(![X814:$i, X815:$i]:((subset @ (binintersect @ X814 @ X815) @ X814))=>(![X656:$i, X657:$i]:(((subset @ X656 @ X657)=>((binintersect @ X656 @ X657)=(X656))))=>(![X658:$i, X659:$i]:((((binintersect @ X658 @ X659)=(X659))=>(subset @ X659 @ X658)))=>(![X811:$i, X812:$i, X813:$i]:(((in @ X813 @ (binintersect @ X811 @ X812))=>(in @ X813 @ X812)))=>(![X808:$i, X809:$i]:((~(?[X810:$i]:(((in @ X810 @ X808)&(in @ X810 @ X809))))=>((binintersect @ X808 @ X809)=(emptyset))))=>(![X806:$i, X807:$i]:((subset @ (binintersect @ X806 @ X807) @ X807))=>(![X660:$i, X661:$i]:(((subset @ X661 @ X660)=>((binintersect @ X660 @ X661)=(X661))))=>(![X804:$i, X805:$i]:((((binintersect @ X804 @ X805)=(X804))=>(subset @ X804 @ X805)))=>(![X801:$i, X802:$i, X803:$i]:(((binintersect @ X801 @ (binunion @ X802 @ X803))=(binunion @ (binintersect @ X801 @ X802) @ (binintersect @ X801 @ X803))))=>(![X662:$i, X663:$i, X664:$i]:(((in @ X664 @ X662)=>(~(in @ X664 @ X663)=>(in @ X664 @ (setminus @ X662 @ X663)))))=>(![X665:$i, X666:$i, X667:$i]:(((in @ X667 @ (setminus @ X665 @ X666))=>(in @ X667 @ X665)))=>(![X668:$i, X669:$i, X670:$i]:(((in @ X670 @ (setminus @ X668 @ X669))=>~(in @ X670 @ X669)))=>(![X671:$i, X672:$i]:(((subset @ X671 @ X672)=>((setminus @ X671 @ X672)=(emptyset))))=>(![X673:$i, X674:$i, X675:$i]:((~(in @ X675 @ (setminus @ X673 @ X674))=>((in @ X675 @ X673)=>(in @ X675 @ X674))))=>(![X798:$i, X799:$i, X800:$i]:((~(in @ X800 @ (setminus @ X798 @ X799))=>(~(in @ X800 @ X799)=>~(in @ X800 @ X798))))=>(![X795:$i, X796:$i, X797:$i]:((~(in @ X797 @ X795)=>~(in @ X797 @ (setminus @ X795 @ X796))))=>(![X792:$i, X793:$i, X794:$i]:(((in @ X794 @ X793)=>~(in @ X794 @ (setminus @ X792 @ X793))))=>(![X676:$i, X677:$i]:((subset @ (setminus @ X676 @ X677) @ X676))=>(![X790:$i, X791:$i]:((((setminus @ X790 @ X791)=(emptyset))=>(subset @ X790 @ X791)))=>(![X678:$i, X679:$i, X680:$i]:(((in @ X680 @ (symdiff @ X678 @ X679))=>![X681:$o]:((((in @ X680 @ X678)=>(~(in @ X680 @ X679)=>(X681)))=>((~(in @ X680 @ X678)=>((in @ X680 @ X679)=>(X681)))=>(X681))))))=>(![X787:$i, X788:$i, X789:$i]:(((in @ X789 @ X787)=>(~(in @ X789 @ X788)=>(in @ X789 @ (symdiff @ X787 @ X788)))))=>(![X784:$i, X785:$i, X786:$i]:((~(in @ X786 @ X784)=>((in @ X786 @ X785)=>(in @ X786 @ (symdiff @ X784 @ X785)))))=>(![X682:$i, X683:$i, X684:$i]:(((in @ X684 @ X682)=>((in @ X684 @ X683)=>~(in @ X684 @ (symdiff @ X682 @ X683)))))=>(![X781:$i, X782:$i, X783:$i]:((~(in @ X783 @ X781)=>(~(in @ X783 @ X782)=>~(in @ X783 @ (symdiff @ X781 @ X782)))))=>(![X779:$i, X780:$i]:((in @ X780 @ (setadjoin @ X779 @ (setadjoin @ X780 @ emptyset))))=>(![X777:$i, X778:$i]:((in @ X777 @ (setunion @ (setadjoin @ (setadjoin @ X777 @ emptyset) @ (setadjoin @ (setadjoin @ X777 @ (setadjoin @ X778 @ emptyset)) @ emptyset)))))=>(![X685:$i, X686:$i]:((in @ X686 @ (setunion @ (setadjoin @ (setadjoin @ X685 @ emptyset) @ (setadjoin @ (setadjoin @ X685 @ (setadjoin @ X686 @ emptyset)) @ emptyset)))))=>(![X687:$i, X688:$i]:(?[X689:$i]:(((in @ X689 @ (setunion @ (setadjoin @ (setadjoin @ X687 @ emptyset) @ (setadjoin @ (setadjoin @ X687 @ (setadjoin @ X688 @ emptyset)) @ emptyset))))&?[X690:$i]:(((in @ X690 @ (setunion @ (setadjoin @ (setadjoin @ X687 @ emptyset) @ (setadjoin @ (setadjoin @ X687 @ (setadjoin @ X688 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X687 @ emptyset) @ (setadjoin @ (setadjoin @ X687 @ (setadjoin @ X688 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X689 @ emptyset) @ (setadjoin @ (setadjoin @ X689 @ (setadjoin @ X690 @ emptyset)) @ emptyset))))))))=>(![X691:$i, X692:$i]:(?[X693:$i]:(((in @ X693 @ (setunion @ (kpair @ X691 @ X692)))&?[X694:$i]:(((in @ X694 @ (setunion @ (kpair @ X691 @ X692)))&((kpair @ X691 @ X692)=(setadjoin @ (setadjoin @ X693 @ emptyset) @ (setadjoin @ (setadjoin @ X693 @ (setadjoin @ X694 @ emptyset)) @ emptyset))))))))=>(![X695:$i, X696:$i]:(((in @ X696 @ X695)=>(subset @ (setadjoin @ X696 @ emptyset) @ X695)))=>(![X697:$i, X698:$i]:(((in @ X698 @ X697)=>(in @ (setadjoin @ X698 @ emptyset) @ (powerset @ X697))))=>(![X699:$i, X700:$i, X701:$i]:(((in @ X701 @ X699)=>(in @ (setadjoin @ X701 @ emptyset) @ (powerset @ (binunion @ X699 @ X700)))))=>(![X774:$i, X775:$i, X776:$i]:(((in @ X776 @ (setadjoin @ X774 @ (setadjoin @ X775 @ emptyset)))=>(((X776)=(X774))|((X776)=(X775)))))=>(![X770:$i, X771:$i, X772:$i]:(((in @ X772 @ X770)=>![X773:$i]:(((in @ X773 @ X771)=>(subset @ (setadjoin @ X772 @ (setadjoin @ X773 @ emptyset)) @ (binunion @ X770 @ X771))))))=>(![X766:$i, X767:$i, X768:$i]:(((in @ X768 @ X766)=>![X769:$i]:(((in @ X769 @ X767)=>(in @ (setadjoin @ X768 @ (setadjoin @ X769 @ emptyset)) @ (powerset @ (binunion @ X766 @ X767)))))))=>(![X702:$i, X703:$i, X704:$i]:(((in @ X704 @ X702)=>![X705:$i]:(((in @ X705 @ X703)=>(subset @ (setadjoin @ (setadjoin @ X704 @ emptyset) @ (setadjoin @ (setadjoin @ X704 @ (setadjoin @ X705 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X702 @ X703)))))))=>(![X706:$i, X707:$i, X708:$i]:(((in @ X708 @ X706)=>![X709:$i]:(((in @ X709 @ X707)=>(in @ (setadjoin @ (setadjoin @ X708 @ emptyset) @ (setadjoin @ (setadjoin @ X708 @ (setadjoin @ X709 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X706 @ X707))))))))=>(![X710:$i, X711:$i, X712:$i]:(((in @ X712 @ X710)=>![X713:$i]:(((in @ X713 @ X711)=>(in @ (kpair @ X712 @ X713) @ (powerset @ (powerset @ (binunion @ X710 @ X711))))))))=>(![X762:$i, X763:$i, X764:$i]:(((in @ X764 @ X762)=>![X765:$i]:(((in @ X765 @ X763)=>(in @ (kpair @ X764 @ X765) @ (cartprod @ X762 @ X763))))))=>(![X757:$i, X758:$i, X759:$i]:(((in @ X759 @ (cartprod @ X757 @ X758))=>?[X760:$i]:(((in @ X760 @ X757)&?[X761:$i]:(((in @ X761 @ X758)&((X759)=(kpair @ X760 @ X761))))))))=>(![X752:$i, X753:$i, X754:$i]:(((in @ X754 @ (cartprod @ X752 @ X753))=>?[X755:$i]:(((in @ X755 @ (setunion @ X754))&?[X756:$i]:(((in @ X756 @ (setunion @ X754))&((X754)=(setadjoin @ (setadjoin @ X755 @ emptyset) @ (setadjoin @ (setadjoin @ X755 @ (setadjoin @ X756 @ emptyset)) @ emptyset)))))))))=>(![X714:$i, X715:$i]:(((in @ X715 @ (setunion @ X714))=>?[X716:$i]:(((in @ X716 @ X714)&(in @ X715 @ X716)))))=>(![X751:$i]:((subset @ (setunion @ (setadjoin @ X751 @ emptyset)) @ X751))=>(![X750:$i]:((subset @ X750 @ (setunion @ (setadjoin @ X750 @ emptyset))))=>(![X717:$i]:(((setunion @ (setadjoin @ X717 @ emptyset))=(X717)))=>(![X744:$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)))=>?[X749:$i]:(((in @ X749 @ (dsetconstr @ X744 @ X745))&((dsetconstr @ X744 @ X745)=(setadjoin @ X749 @ emptyset)))))))=>(![X740:$i, X741:$i > $o]:((?[X742:$i]:(((in @ X742 @ (dsetconstr @ X740 @ X741))&((dsetconstr @ X740 @ X741)=(setadjoin @ X742 @ emptyset))))=>?[X743:$i]:(((in @ X743 @ X740)&(X741 @ X743)))))=>(![X735:$i, X736:$i > $o, X737:$i]:(((in @ X737 @ X735)=>((X736 @ X737)=>(![X738:$i]:(((in @ X738 @ X735)=>((X736 @ X738)=>((X738)=(X737)))))=>?[X739:$i]:(((in @ X739 @ (dsetconstr @ X735 @ X736))&((dsetconstr @ X735 @ X736)=(setadjoin @ X739 @ emptyset))))))))=>(![X718:$i, X719:$i > $o]:((![X720:$i]:(((in @ X720 @ X718)=>![X721:$i]:(((in @ X721 @ X718)=>((X719 @ X720)=>((X719 @ X721)=>((X720)=(X721))))))))=>(?[X722:$i]:(((in @ X722 @ X718)&(X719 @ X722)))=>?[X723:$i]:(((in @ X723 @ (dsetconstr @ X718 @ X719))&((dsetconstr @ X718 @ X719)=(setadjoin @ X723 @ emptyset)))))))=>(![X724:$i, X725:$i]:((((setadjoin @ X724 @ emptyset)=(setadjoin @ X725 @ emptyset))=>((X724)=(X725))))=>(![X732:$i, X733:$i, X734:$i]:(((in @ (setadjoin @ X734 @ emptyset) @ (setadjoin @ (setadjoin @ X732 @ emptyset) @ (setadjoin @ (setadjoin @ X732 @ (setadjoin @ X733 @ emptyset)) @ emptyset)))=>((X732)=(X734))))=>(![X726:$i]:((?[X727:$i]:(((in @ X727 @ (setunion @ X726))&?[X728:$i]:(((in @ X728 @ (setunion @ X726))&((X726)=(setadjoin @ (setadjoin @ X727 @ emptyset) @ (setadjoin @ (setadjoin @ X727 @ (setadjoin @ X728 @ emptyset)) @ emptyset)))))))=>?[X729:$i]:(((in @ X729 @ (dsetconstr @ (setunion @ X726) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X726)))))&((dsetconstr @ (setunion @ X726) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X726))))=(setadjoin @ X729 @ emptyset))))))=>(![X730:$i]:((?[X731:$i]:(((in @ X731 @ X730)&((X730)=(setadjoin @ X731 @ emptyset))))=>(in @ (setunion @ X730) @ X730)))=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_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)],[kfstpairEq]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_193]), foundationAx]), wellorderingAx]), c_0_194]), c_0_195]), c_0_196]), c_0_197]), c_0_198]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_199]), setext]), emptyI]), noeltsimpempty]), c_0_200]), c_0_201]), c_0_202]), c_0_203]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_204]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_205]), c_0_206]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_207]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_208]), c_0_209]), c_0_210]), inCongP]), in__Cong]), c_0_211]), c_0_212]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_213]), c_0_214]), c_0_215]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_216]), c_0_217]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), c_0_218]), c_0_219]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), c_0_220]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_221]), c_0_222]), c_0_223]), c_0_224]), singletonsuniq]), setukpairinjL1]), c_0_225]), c_0_226])])]), c_0_227])).
1234.53/170.06	thf(c_0_229, negated_conjecture, ![X987:$i, X988:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X1000:$i, X1001:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1009:$i, X1010:$i > $i > $o, X1011:$i, X1013:$i, X1016:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1023:$i, X1024:$i > $o, X1025:$i, X1027:$i, X1028:$i > $o, X1029:$i, X1030:$i, X1031:$i > $o, X1032:$i, X1033:$i, X1034:$i > $o, X1035:$i, X1036:$i > $o, X1037:$i, X1040:$i, X1041:$o, X1042:$i, X1043:$i, X1044:$o, X1045:$i, X1046:$i, X1047:$i > $o, X1048:$i, X1051:$i, X1052:$i, X1055:$i, X1057:$i, X1059:$i, X1060:$i > $o, X1061:$i, X1062:$i, X1064:$i, X1065:$i > $o, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i, X1072:$i, X1073:$i, X1074:$i, X1075:$i, X1076:$i, X1077:$o, X1078:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$i, X1083:$i, X1085:$i, X1086:$i, X1087:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$o, X1097:$i, X1098:$i, X1099:$i > $o, X1100:$i, X1103:$i, X1104:$i, X1105:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1112:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i > $o, X1124:$i, X1125:$i > $o, X1126:$i, X1127:$i, X1128:$i > $o, X1129:$i, X1131:$i, X1132:$i > $o, X1134:$i, X1135:$i, X1136:$i > $o, X1138:$i, X1139:$i, X1140:$i > $o, X1141:$i, X1143:$o, X1144:$o, X1145:$i, X1146:$i > $o, X1148:$i, X1149:$i, X1150:$i > $o, X1151:$i, X1153:$i > $o, X1154:$i, X1157:$i, X1158:$i > $o, X1159:$i, X1163:$i, X1164:$i > $o, X1165:$i, X1168:$i, X1169:$i, X1170:$i, X1171:$i, X1172:$i, X1173:$i, X1174:$i, X1175:$i, X1176:$i, X1177:$i > $o, X1178:$i, X1180:$i, X1181:$i, X1182:$i > $o, X1183:$i > $o, X1186:$i, X1189:$i, X1190:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i > $o, X1203:$i, X1205:$i, X1206:$i, X1207:$i > $o, X1208:$i > $o, X1211:$i, X1213:$i, X1215:$i, X1216:$i, X1217:$i > $o, X1218:$i > $o, X1221:$i, X1222:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1253:$i, X1254:$i, X1255:$i, X1256:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i > $o, X1269:$i, X1270:$i > $o, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1279:$i, X1280:$i, X1281:$i, X1282:$o, X1283:$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, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1342:$i, X1343:$i, X1344:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1349:$i, X1350:$o, 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, X1373:$i, X1374:$i, X1377:$i, X1378:$i, X1379:$i, X1380:$i, X1381:$i, X1382:$i, X1383:$i, X1384:$i, X1385:$i, X1386:$i, X1387:$i, X1388:$i, X1389:$i, X1390:$i, X1391:$i, X1392:$i, X1393:$i, X1394:$i, X1395:$i, X1396:$i, X1397:$i, X1398:$i, X1399:$i, X1400:$i, X1401:$i, X1402:$i, X1403:$i, X1404:$i, X1405:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i, X1410:$i, X1411:$i, X1412:$i, X1413:$i, X1416:$i, X1417:$i, X1418:$i, X1421:$i, X1422:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i > $o, X1431:$i, X1433:$i, X1434:$i > $o, X1435:$i, X1437:$i, X1438:$i > $o, X1439:$i, X1442:$i, X1443:$i > $o, X1446:$i, X1448:$i, X1449:$i, X1450:$i, X1451:$i, X1452:$i, X1453:$i, X1454:$i, X1455:$i, X1457:$i, X1458:$i]:((((~(in @ (esk1_2 @ X987 @ X988) @ X987)|~(in @ (esk1_2 @ X987 @ X988) @ X988)|((X987)=(X988)))&((in @ (esk1_2 @ X987 @ X988) @ X987)|(in @ (esk1_2 @ X987 @ X988) @ X988)|((X987)=(X988))))&(~(in @ X990 @ emptyset)&(((~(in @ X993 @ (setadjoin @ X991 @ X992))|(((X993)=(X991))|(in @ X993 @ X992)))&((((X993)!=(X991))|(in @ X993 @ (setadjoin @ X991 @ X992)))&(~(in @ X993 @ X992)|(in @ X993 @ (setadjoin @ X991 @ X992)))))&(((~(in @ X995 @ (powerset @ X994))|(~(in @ X996 @ X995)|(in @ X996 @ X994)))&(((in @ (esk2_2 @ X997 @ X998) @ X998)|(in @ X998 @ (powerset @ X997)))&(~(in @ (esk2_2 @ X997 @ X998) @ X997)|(in @ X998 @ (powerset @ X997)))))&(((((in @ X1001 @ (esk3_2 @ X1000 @ X1001))|~(in @ X1001 @ (setunion @ X1000)))&((in @ (esk3_2 @ X1000 @ X1001) @ X1000)|~(in @ X1001 @ (setunion @ X1000))))&(~(in @ X1004 @ X1005)|~(in @ X1005 @ X1003)|(in @ X1004 @ (setunion @ X1003))))&((in @ emptyset @ omega)&((~(in @ X1006 @ omega)|(in @ (setadjoin @ X1006 @ X1006) @ omega))&(((((in @ (esk4_1 @ X1007) @ omega)|~(in @ emptyset @ X1007)|(~(in @ X1009 @ omega)|(in @ X1009 @ X1007)))&((in @ (esk4_1 @ X1007) @ X1007)|~(in @ emptyset @ X1007)|(~(in @ X1009 @ omega)|(in @ X1009 @ X1007))))&(~(in @ (setadjoin @ (esk4_1 @ X1007) @ (esk4_1 @ X1007)) @ X1007)|~(in @ emptyset @ X1007)|(~(in @ X1009 @ omega)|(in @ X1009 @ X1007))))&((((((in @ (esk8_3 @ X1010 @ X1011 @ X1016) @ X1011)|~(in @ X1016 @ (esk7_2 @ X1010 @ X1011))|(in @ (esk5_2 @ X1010 @ X1011) @ X1011))&((X1010 @ (esk8_3 @ X1010 @ X1011 @ X1016) @ X1016)|~(in @ X1016 @ (esk7_2 @ X1010 @ X1011))|(in @ (esk5_2 @ X1010 @ X1011) @ X1011)))&(~(in @ X1019 @ X1011)|~(X1010 @ X1019 @ X1018)|(in @ X1018 @ (esk7_2 @ X1010 @ X1011))|(in @ (esk5_2 @ X1010 @ X1011) @ X1011)))&(((((in @ (esk8_3 @ X1010 @ X1011 @ X1016) @ X1011)|~(in @ X1016 @ (esk7_2 @ X1010 @ X1011))|((X1010 @ (esk5_2 @ X1010 @ X1011) @ (esk6_3 @ X1010 @ X1011 @ X1013))|~(X1010 @ (esk5_2 @ X1010 @ X1011) @ X1013)))&((X1010 @ (esk8_3 @ X1010 @ X1011 @ X1016) @ X1016)|~(in @ X1016 @ (esk7_2 @ X1010 @ X1011))|((X1010 @ (esk5_2 @ X1010 @ X1011) @ (esk6_3 @ X1010 @ X1011 @ X1013))|~(X1010 @ (esk5_2 @ X1010 @ X1011) @ X1013))))&(~(in @ X1019 @ X1011)|~(X1010 @ X1019 @ X1018)|(in @ X1018 @ (esk7_2 @ X1010 @ X1011))|((X1010 @ (esk5_2 @ X1010 @ X1011) @ (esk6_3 @ X1010 @ X1011 @ X1013))|~(X1010 @ (esk5_2 @ X1010 @ X1011) @ X1013))))&((((in @ (esk8_3 @ X1010 @ X1011 @ X1016) @ X1011)|~(in @ X1016 @ (esk7_2 @ X1010 @ X1011))|(((X1013)!=(esk6_3 @ X1010 @ X1011 @ X1013))|~(X1010 @ (esk5_2 @ X1010 @ X1011) @ X1013)))&((X1010 @ (esk8_3 @ X1010 @ X1011 @ X1016) @ X1016)|~(in @ X1016 @ (esk7_2 @ X1010 @ X1011))|(((X1013)!=(esk6_3 @ X1010 @ X1011 @ X1013))|~(X1010 @ (esk5_2 @ X1010 @ X1011) @ X1013))))&(~(in @ X1019 @ X1011)|~(X1010 @ X1019 @ X1018)|(in @ X1018 @ (esk7_2 @ X1010 @ X1011))|(((X1013)!=(esk6_3 @ X1010 @ X1011 @ X1013))|~(X1010 @ (esk5_2 @ X1010 @ X1011) @ X1013))))))&((((in @ (esk9_1 @ X1020) @ X1020)|~(in @ X1021 @ X1020))&(~(in @ X1023 @ (esk9_1 @ X1020))|~(in @ X1023 @ X1020)|~(in @ X1021 @ X1020)))&((epred1_0)&((((X1024 @ (esk10_2 @ X1024 @ X1025))|~(X1024 @ X1025)|(X1024 @ (descr @ X1024)))&(((X1025)!=(esk10_2 @ X1024 @ X1025))|~(X1024 @ X1025)|(X1024 @ (descr @ X1024))))&((~(in @ X1029 @ X1027)|(~(X1028 @ X1029)|(in @ X1029 @ (dsetconstr @ X1027 @ X1028))))&((~(in @ X1032 @ (dsetconstr @ X1030 @ X1031))|(in @ X1032 @ X1030))&((~(in @ X1035 @ (dsetconstr @ X1033 @ X1034))|(X1034 @ X1035))&(((((X1036 @ (esk12_1 @ X1036))|((X1036 @ (esk11_2 @ X1036 @ X1037))|~(X1036 @ X1037)))&(~(X1036 @ X1040)|((esk12_1 @ X1036)=(X1040))|((X1036 @ (esk11_2 @ X1036 @ X1037))|~(X1036 @ X1037))))&(((X1036 @ (esk12_1 @ X1036))|(((X1037)!=(esk11_2 @ X1036 @ X1037))|~(X1036 @ X1037)))&(~(X1036 @ X1040)|((esk12_1 @ X1036)=(X1040))|(((X1037)!=(esk11_2 @ X1036 @ X1037))|~(X1036 @ X1037)))))&((~(in @ X1042 @ (prop2set @ ((X1041))))|(X1041))&((~(in @ X1043 @ emptyset)|(X1044))&((~(in @ X1045 @ emptyset)|~($true))&(~(in @ X1046 @ emptyset)&((((X1047 @ (esk13_2 @ X1047 @ X1048))|~(X1047 @ X1048)|(X1047 @ (esk14_1 @ X1047)))&(((X1048)!=(esk13_2 @ X1047 @ X1048))|~(X1047 @ X1048)|(X1047 @ (esk14_1 @ X1047))))&(((((in @ (esk16_2 @ X1051 @ X1052) @ X1052)|((X1051)=(X1052))|(in @ (esk15_2 @ X1051 @ X1052) @ X1051))&(~(in @ (esk16_2 @ X1051 @ X1052) @ X1051)|((X1051)=(X1052))|(in @ (esk15_2 @ X1051 @ X1052) @ X1051)))&(((in @ (esk16_2 @ X1051 @ X1052) @ X1052)|((X1051)=(X1052))|~(in @ (esk15_2 @ X1051 @ X1052) @ X1052))&(~(in @ (esk16_2 @ X1051 @ X1052) @ X1051)|((X1051)=(X1052))|~(in @ (esk15_2 @ X1051 @ X1052) @ X1052))))&(((in @ (esk17_1 @ X1055) @ X1055)|((X1055)=(emptyset)))&(((in @ (esk18_1 @ X1057) @ X1057)|((X1057)=(emptyset)))&(((~(in @ X1061 @ (dsetconstr @ X1059 @ X1060))|(X1060 @ X1061)|~(in @ X1061 @ X1059))&(~(X1060 @ X1061)|(in @ X1061 @ (dsetconstr @ X1059 @ X1060))|~(in @ X1061 @ X1059)))&((((X1062)=(emptyset))|(in @ (esk19_1 @ X1062) @ X1062))&((~(in @ X1066 @ X1064)|(~(X1065 @ X1066)|((dsetconstr @ X1064 @ X1065)!=(emptyset))))&((~(in @ X1068 @ X1067)|((X1067)!=(emptyset)))&((in @ X1069 @ (setadjoin @ X1069 @ X1070))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1073 @ X1072)|(in @ X1073 @ (setadjoin @ X1071 @ X1072)))&(((((in @ X1076 @ X1075)|(X1077)|((X1076)=(X1074))|~(in @ X1076 @ (setadjoin @ X1074 @ X1075)))&(~(X1077)|(X1077)|((X1076)=(X1074))|~(in @ X1076 @ (setadjoin @ X1074 @ X1075))))&(((in @ X1076 @ X1075)|(X1077)|~(X1077)|~(in @ X1076 @ (setadjoin @ X1074 @ X1075)))&(~(X1077)|(X1077)|~(X1077)|~(in @ X1076 @ (setadjoin @ X1074 @ X1075)))))&((~(in @ X1080 @ (setadjoin @ X1078 @ X1079))|(((X1080)=(X1078))|(in @ X1080 @ X1079)))&(((dsetconstr @ X1081 @ (^[Z0/* 1 */:$i]:($true)))=(X1081))&((((in @ (esk20_2 @ X1082 @ X1083) @ X1083)|(in @ X1083 @ (powerset @ X1082)))&(~(in @ (esk20_2 @ X1082 @ X1083) @ X1082)|(in @ X1083 @ (powerset @ X1082))))&((in @ emptyset @ (powerset @ X1085))&((in @ emptyset @ (powerset @ X1086))&((~(in @ X1088 @ (powerset @ X1087))|(~(in @ X1089 @ X1088)|(in @ X1089 @ X1087)))&((~(in @ X1091 @ X1092)|(~(in @ X1092 @ X1090)|(in @ X1091 @ (setunion @ X1090))))&((((in @ X1094 @ (esk21_3 @ X1093 @ X1094 @ X1095))|(X1095)|~(in @ X1094 @ (setunion @ X1093)))&(((in @ (esk21_3 @ X1093 @ X1094 @ X1095) @ X1093)|(X1095)|~(in @ X1094 @ (setunion @ X1093)))&(~(X1095)|(X1095)|~(in @ X1094 @ (setunion @ X1093)))))&((~(in @ X1098 @ X1097)|(in @ X1098 @ (powerset @ (setunion @ X1097))))&((((~(X1099 @ X1103)|((X1103)=(esk23_1 @ X1099))|((X1099 @ (esk22_2 @ X1099 @ X1100))|~(X1099 @ X1100)))&(((X1104)!=(esk23_1 @ X1099))|(X1099 @ X1104)|((X1099 @ (esk22_2 @ X1099 @ X1100))|~(X1099 @ X1100))))&((~(X1099 @ X1103)|((X1103)=(esk23_1 @ X1099))|(((X1100)!=(esk22_2 @ X1099 @ X1100))|~(X1099 @ X1100)))&(((X1104)!=(esk23_1 @ X1099))|(X1099 @ X1104)|(((X1100)!=(esk22_2 @ X1099 @ X1100))|~(X1099 @ X1100)))))&((((in @ (esk24_1 @ X1105) @ X1105)|((X1105)=(emptyset)))&(($true)|((X1105)=(emptyset))))&((~(in @ X1107 @ (setadjoin @ X1108 @ emptyset))|((X1107)=(X1108)))&((((X1109)=(X1110))|~(in @ X1110 @ (setadjoin @ X1109 @ emptyset)))&((((X1111)!=(X1112))|(in @ X1111 @ (setadjoin @ X1112 @ emptyset)))&((~(in @ X1113 @ (setadjoin @ X1114 @ emptyset))|(in @ X1114 @ (setadjoin @ X1113 @ emptyset)))&((~(in @ X1117 @ (setadjoin @ X1115 @ (setadjoin @ X1116 @ emptyset)))|(((X1117)=(X1115))|((X1117)=(X1116))))&((in @ X1118 @ (setadjoin @ X1118 @ (setadjoin @ X1119 @ emptyset)))&((in @ X1121 @ (setadjoin @ X1120 @ (setadjoin @ X1121 @ emptyset)))&((~(in @ X1124 @ X1122)|~(X1123 @ X1124)|(((dsetconstr @ X1122 @ X1123)!=(emptyset))|~($true)))&((~(in @ X1126 @ emptyset)|(X1125 @ X1126))&((((in @ (esk25_2 @ X1127 @ X1128) @ X1127)|(~(in @ X1129 @ X1127)|(X1128 @ X1129)))&(~(X1128 @ (esk25_2 @ X1127 @ X1128))|(~(in @ X1129 @ X1127)|(X1128 @ X1129))))&((((in @ (esk26_2 @ X1131 @ X1132) @ X1131)|(~(in @ X1134 @ X1131)|~(X1132 @ X1134)))&((X1132 @ (esk26_2 @ X1131 @ X1132))|(~(in @ X1134 @ X1131)|~(X1132 @ X1134))))&((((in @ (esk27_2 @ X1135 @ X1136) @ X1135)|(~(in @ X1138 @ X1135)|~(X1136 @ X1138)))&((X1136 @ (esk27_2 @ X1135 @ X1136))|(~(in @ X1138 @ X1135)|~(X1136 @ X1138))))&((((in @ (esk28_2 @ X1139 @ X1140) @ X1139)|(~(in @ X1141 @ X1139)|(X1140 @ X1141)))&(~(X1140 @ (esk28_2 @ X1139 @ X1140))|(~(in @ X1141 @ X1139)|(X1140 @ X1141))))&((~(X1143)|(in @ emptyset @ (prop2set @ ((X1143)))))&((~(X1144)|(set2prop @ (prop2set @ ((X1144)))))&((((in @ (esk29_2 @ X1145 @ X1146) @ X1145)|(~(in @ X1148 @ X1145)|~(X1146 @ X1148)))&((X1146 @ (esk29_2 @ X1145 @ X1146))|(~(in @ X1148 @ X1145)|~(X1146 @ X1148))))&((((in @ (esk30_2 @ X1149 @ X1150) @ X1149)|(~(in @ X1151 @ X1149)|(X1150 @ X1151)))&(~(X1150 @ (esk30_2 @ X1149 @ X1150))|(~(in @ X1151 @ X1149)|(X1150 @ X1151))))&(((((X1153 @ (esk32_1 @ X1153))|((X1153 @ (esk31_2 @ X1153 @ X1154))|~(X1153 @ X1154)))&(~(X1153 @ X1157)|((esk32_1 @ X1153)=(X1157))|((X1153 @ (esk31_2 @ X1153 @ X1154))|~(X1153 @ X1154))))&(((X1153 @ (esk32_1 @ X1153))|(((X1154)!=(esk31_2 @ X1153 @ X1154))|~(X1153 @ X1154)))&(~(X1153 @ X1157)|((esk32_1 @ X1153)=(X1157))|(((X1154)!=(esk31_2 @ X1153 @ X1154))|~(X1153 @ X1154)))))&(((((X1158 @ (esk35_1 @ X1158))|(X1158 @ (esk33_1 @ X1158))|~(X1158 @ X1159))&(~(X1158 @ X1163)|((esk35_1 @ X1158)=(X1163))|(X1158 @ (esk33_1 @ X1158))|~(X1158 @ X1159)))&((((X1158 @ (esk35_1 @ X1158))|(X1158 @ (esk34_1 @ X1158))|~(X1158 @ X1159))&(~(X1158 @ X1163)|((esk35_1 @ X1158)=(X1163))|(X1158 @ (esk34_1 @ X1158))|~(X1158 @ X1159)))&(((X1158 @ (esk35_1 @ X1158))|((esk33_1 @ X1158)!=(esk34_1 @ X1158))|~(X1158 @ X1159))&(~(X1158 @ X1163)|((esk35_1 @ X1158)=(X1163))|((esk33_1 @ X1158)!=(esk34_1 @ X1158))|~(X1158 @ X1159)))))&(((((X1164 @ (esk37_1 @ X1164))|(~(X1164 @ (esk36_2 @ X1164 @ X1165))|((esk36_2 @ X1164 @ X1165)!=(X1165))))&(~(X1164 @ X1168)|((esk37_1 @ X1164)=(X1168))|(~(X1164 @ (esk36_2 @ X1164 @ X1165))|((esk36_2 @ X1164 @ X1165)!=(X1165)))))&(((X1164 @ (esk37_1 @ X1164))|((X1164 @ (esk36_2 @ X1164 @ X1165))|((esk36_2 @ X1164 @ X1165)=(X1165))))&(~(X1164 @ X1168)|((esk37_1 @ X1164)=(X1168))|((X1164 @ (esk36_2 @ X1164 @ X1165))|((esk36_2 @ X1164 @ X1165)=(X1165))))))&((((X1169)!=(X1170))|(((X1171)!=(X1172))|(~(in @ X1171 @ X1169)|(in @ X1172 @ X1170))))&(((~(in @ X1175 @ X1173)|(in @ X1176 @ X1174)|((X1175)!=(X1176))|((X1173)!=(X1174)))&(~(in @ X1176 @ X1174)|(in @ X1175 @ X1173)|((X1175)!=(X1176))|((X1173)!=(X1174))))&((((X1177 @ (esk38_2 @ X1177 @ X1178))|~(X1177 @ X1178)|(~(X1177 @ X1180)|(~(X1177 @ X1181)|((X1180)=(X1181)))))&(((X1178)!=(esk38_2 @ X1177 @ X1178))|~(X1177 @ X1178)|(~(X1177 @ X1180)|(~(X1177 @ X1181)|((X1180)=(X1181))))))&(((((((X1183 @ (esk42_2 @ X1182 @ X1183))|((X1182 @ (esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|((esk39_2 @ X1182 @ X1183)=(esk40_2 @ X1182 @ X1183)))&(~(X1183 @ X1189)|((esk42_2 @ X1182 @ X1183)=(X1189))|((X1182 @ (esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|((esk39_2 @ X1182 @ X1183)=(esk40_2 @ X1182 @ X1183))))&(((X1183 @ (esk42_2 @ X1182 @ X1183))|(((X1186)!=(esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|((esk39_2 @ X1182 @ X1183)=(esk40_2 @ X1182 @ X1183)))&(~(X1183 @ X1189)|((esk42_2 @ X1182 @ X1183)=(X1189))|(((X1186)!=(esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|((esk39_2 @ X1182 @ X1183)=(esk40_2 @ X1182 @ X1183)))))&((((X1182 @ (esk44_2 @ X1182 @ X1183))|((X1183 @ (esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|((esk39_2 @ X1182 @ X1183)=(esk40_2 @ X1182 @ X1183)))&(~(X1182 @ X1193)|((esk44_2 @ X1182 @ X1183)=(X1193))|((X1183 @ (esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|((esk39_2 @ X1182 @ X1183)=(esk40_2 @ X1182 @ X1183))))&(((X1182 @ (esk44_2 @ X1182 @ X1183))|(((X1190)!=(esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|((esk39_2 @ X1182 @ X1183)=(esk40_2 @ X1182 @ X1183)))&(~(X1182 @ X1193)|((esk44_2 @ X1182 @ X1183)=(X1193))|(((X1190)!=(esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|((esk39_2 @ X1182 @ X1183)=(esk40_2 @ X1182 @ X1183))))))&((((((X1183 @ (esk42_2 @ X1182 @ X1183))|((X1182 @ (esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|(~(X1182 @ (esk39_2 @ X1182 @ X1183))|~(X1183 @ (esk40_2 @ X1182 @ X1183))))&(~(X1183 @ X1189)|((esk42_2 @ X1182 @ X1183)=(X1189))|((X1182 @ (esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|(~(X1182 @ (esk39_2 @ X1182 @ X1183))|~(X1183 @ (esk40_2 @ X1182 @ X1183)))))&(((X1183 @ (esk42_2 @ X1182 @ X1183))|(((X1186)!=(esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|(~(X1182 @ (esk39_2 @ X1182 @ X1183))|~(X1183 @ (esk40_2 @ X1182 @ X1183))))&(~(X1183 @ X1189)|((esk42_2 @ X1182 @ X1183)=(X1189))|(((X1186)!=(esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|(~(X1182 @ (esk39_2 @ X1182 @ X1183))|~(X1183 @ (esk40_2 @ X1182 @ X1183))))))&((((X1182 @ (esk44_2 @ X1182 @ X1183))|((X1183 @ (esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|(~(X1182 @ (esk39_2 @ X1182 @ X1183))|~(X1183 @ (esk40_2 @ X1182 @ X1183))))&(~(X1182 @ X1193)|((esk44_2 @ X1182 @ X1183)=(X1193))|((X1183 @ (esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|(~(X1182 @ (esk39_2 @ X1182 @ X1183))|~(X1183 @ (esk40_2 @ X1182 @ X1183)))))&(((X1182 @ (esk44_2 @ X1182 @ X1183))|(((X1190)!=(esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|(~(X1182 @ (esk39_2 @ X1182 @ X1183))|~(X1183 @ (esk40_2 @ X1182 @ X1183))))&(~(X1182 @ X1193)|((esk44_2 @ X1182 @ X1183)=(X1193))|(((X1190)!=(esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|(~(X1182 @ (esk39_2 @ X1182 @ X1183))|~(X1183 @ (esk40_2 @ X1182 @ X1183)))))))&(((((X1183 @ (esk42_2 @ X1182 @ X1183))|((X1182 @ (esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|((X1182 @ (esk39_2 @ X1182 @ X1183))|(X1183 @ (esk40_2 @ X1182 @ X1183))))&(~(X1183 @ X1189)|((esk42_2 @ X1182 @ X1183)=(X1189))|((X1182 @ (esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|((X1182 @ (esk39_2 @ X1182 @ X1183))|(X1183 @ (esk40_2 @ X1182 @ X1183)))))&(((X1183 @ (esk42_2 @ X1182 @ X1183))|(((X1186)!=(esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|((X1182 @ (esk39_2 @ X1182 @ X1183))|(X1183 @ (esk40_2 @ X1182 @ X1183))))&(~(X1183 @ X1189)|((esk42_2 @ X1182 @ X1183)=(X1189))|(((X1186)!=(esk41_3 @ X1182 @ X1183 @ X1186))|~(X1182 @ X1186))|((X1182 @ (esk39_2 @ X1182 @ X1183))|(X1183 @ (esk40_2 @ X1182 @ X1183))))))&((((X1182 @ (esk44_2 @ X1182 @ X1183))|((X1183 @ (esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|((X1182 @ (esk39_2 @ X1182 @ X1183))|(X1183 @ (esk40_2 @ X1182 @ X1183))))&(~(X1182 @ X1193)|((esk44_2 @ X1182 @ X1183)=(X1193))|((X1183 @ (esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|((X1182 @ (esk39_2 @ X1182 @ X1183))|(X1183 @ (esk40_2 @ X1182 @ X1183)))))&(((X1182 @ (esk44_2 @ X1182 @ X1183))|(((X1190)!=(esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|((X1182 @ (esk39_2 @ X1182 @ X1183))|(X1183 @ (esk40_2 @ X1182 @ X1183))))&(~(X1182 @ X1193)|((esk44_2 @ X1182 @ X1183)=(X1193))|(((X1190)!=(esk43_3 @ X1182 @ X1183 @ X1190))|~(X1183 @ X1190))|((X1182 @ (esk39_2 @ X1182 @ X1183))|(X1183 @ (esk40_2 @ X1182 @ X1183)))))))))&(((emptyset)=(emptyset))&((((X1194)!=(X1195))|(((X1196)!=(X1197))|((setadjoin @ X1194 @ X1196)=(setadjoin @ X1195 @ X1197))))&((((X1198)!=(X1199))|((powerset @ X1198)=(powerset @ X1199)))&((((X1200)!=(X1201))|((setunion @ X1200)=(setunion @ X1201)))&(((omega)=(omega))&((((X1202 @ (esk45_2 @ X1202 @ X1203))|~(X1202 @ X1203)|(~(X1202 @ X1205)|(~(X1202 @ X1206)|((X1205)=(X1206)))))&(((X1203)!=(esk45_2 @ X1202 @ X1203))|~(X1202 @ X1203)|(~(X1202 @ X1205)|(~(X1202 @ X1206)|((X1205)=(X1206))))))&((((((X1208 @ (esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|((X1207 @ (esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|((esk46_2 @ X1207 @ X1208)=(esk47_2 @ X1207 @ X1208)))&(((X1213)!=(esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|((X1207 @ (esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|((esk46_2 @ X1207 @ X1208)=(esk47_2 @ X1207 @ X1208))))&(((X1208 @ (esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|(((X1211)!=(esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|((esk46_2 @ X1207 @ X1208)=(esk47_2 @ X1207 @ X1208)))&(((X1213)!=(esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|(((X1211)!=(esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|((esk46_2 @ X1207 @ X1208)=(esk47_2 @ X1207 @ X1208)))))&(((((X1208 @ (esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|((X1207 @ (esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|(~(X1207 @ (esk46_2 @ X1207 @ X1208))|~(X1208 @ (esk47_2 @ X1207 @ X1208))))&(((X1213)!=(esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|((X1207 @ (esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|(~(X1207 @ (esk46_2 @ X1207 @ X1208))|~(X1208 @ (esk47_2 @ X1207 @ X1208)))))&(((X1208 @ (esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|(((X1211)!=(esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|(~(X1207 @ (esk46_2 @ X1207 @ X1208))|~(X1208 @ (esk47_2 @ X1207 @ X1208))))&(((X1213)!=(esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|(((X1211)!=(esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|(~(X1207 @ (esk46_2 @ X1207 @ X1208))|~(X1208 @ (esk47_2 @ X1207 @ X1208))))))&((((X1208 @ (esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|((X1207 @ (esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|((X1207 @ (esk46_2 @ X1207 @ X1208))|(X1208 @ (esk47_2 @ X1207 @ X1208))))&(((X1213)!=(esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|((X1207 @ (esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|((X1207 @ (esk46_2 @ X1207 @ X1208))|(X1208 @ (esk47_2 @ X1207 @ X1208)))))&(((X1208 @ (esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|(((X1211)!=(esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|((X1207 @ (esk46_2 @ X1207 @ X1208))|(X1208 @ (esk47_2 @ X1207 @ X1208))))&(((X1213)!=(esk49_3 @ X1207 @ X1208 @ X1213))|~(X1208 @ X1213)|((descr @ X1207)=(descr @ X1208))|(((X1211)!=(esk48_3 @ X1207 @ X1208 @ X1211))|~(X1207 @ X1211))|((X1207 @ (esk46_2 @ X1207 @ X1208))|(X1208 @ (esk47_2 @ X1207 @ X1208))))))))&((((in @ (esk50_4 @ X1215 @ X1216 @ X1217 @ X1218) @ X1215)|((dsetconstr @ X1215 @ X1217)=(dsetconstr @ X1216 @ X1218))|((X1215)!=(X1216)))&(((in @ (esk51_4 @ X1215 @ X1216 @ X1217 @ X1218) @ X1216)|((dsetconstr @ X1215 @ X1217)=(dsetconstr @ X1216 @ X1218))|((X1215)!=(X1216)))&((((esk50_4 @ X1215 @ X1216 @ X1217 @ X1218)=(esk51_4 @ X1215 @ X1216 @ X1217 @ X1218))|((dsetconstr @ X1215 @ X1217)=(dsetconstr @ X1216 @ X1218))|((X1215)!=(X1216)))&((~(X1217 @ (esk50_4 @ X1215 @ X1216 @ X1217 @ X1218))|~(X1218 @ (esk51_4 @ X1215 @ X1216 @ X1217 @ X1218))|((dsetconstr @ X1215 @ X1217)=(dsetconstr @ X1216 @ X1218))|((X1215)!=(X1216)))&((X1217 @ (esk50_4 @ X1215 @ X1216 @ X1217 @ X1218))|(X1218 @ (esk51_4 @ X1215 @ X1216 @ X1217 @ X1218))|((dsetconstr @ X1215 @ X1217)=(dsetconstr @ X1216 @ X1218))|((X1215)!=(X1216)))))))&((((in @ (esk52_2 @ X1221 @ X1222) @ X1221)|(subset @ X1221 @ X1222))&(~(in @ (esk52_2 @ X1221 @ X1222) @ X1222)|(subset @ X1221 @ X1222)))&((((X1224)!=(X1225))|(subset @ X1225 @ X1224))&((((X1226)!=(X1227))|(subset @ X1226 @ X1227))&((((in @ (esk53_2 @ X1228 @ X1229) @ X1228)|(subset @ X1228 @ X1229))&(~(in @ (esk53_2 @ X1228 @ X1229) @ X1229)|(subset @ X1228 @ X1229)))&((subset @ emptyset @ X1231)&((~(subset @ X1232 @ X1233)|(~(in @ X1234 @ X1232)|(in @ X1234 @ X1233)))&((~(subset @ X1235 @ X1236)|((in @ X1237 @ X1236)|~(in @ X1237 @ X1235)))&((~(in @ X1240 @ X1238)|((in @ X1240 @ X1239)|~(subset @ X1238 @ X1239)))&(((subset @ X1241 @ X1242)|((X1241)!=(X1242)))&((~(in @ X1245 @ X1243)|((in @ X1245 @ X1244)|((X1243)!=(X1244))))&((subset @ X1246 @ X1246)&((~(subset @ X1247 @ X1248)|(~(subset @ X1248 @ X1249)|(subset @ X1247 @ X1249)))&((subset @ X1251 @ (setadjoin @ X1250 @ X1251))&((~(subset @ X1252 @ X1254)|(subset @ X1252 @ (setadjoin @ X1253 @ X1254)))&((~(subset @ X1255 @ X1256)|(in @ X1255 @ (powerset @ X1256)))&((~(subset @ X1257 @ X1258)|(~(subset @ X1258 @ X1257)|((X1257)=(X1258))))&((~(subset @ X1259 @ emptyset)|((X1259)=(emptyset)))&((~(subset @ X1261 @ X1260)|(in @ X1261 @ (powerset @ X1260)))&((~(in @ X1263 @ (powerset @ X1262))|(subset @ X1263 @ X1262))&((in @ X1264 @ (powerset @ X1264))&((~(subset @ X1265 @ X1266)|(subset @ (powerset @ X1265) @ (powerset @ X1266)))&((in @ (dsetconstr @ X1267 @ X1268) @ (powerset @ X1267))&((subset @ (dsetconstr @ X1269 @ X1270) @ X1269)&((~(in @ X1273 @ X1271)|(in @ X1273 @ (binunion @ X1271 @ X1272)))&((in @ X1275 @ (setadjoin @ X1274 @ (setadjoin @ X1275 @ emptyset)))&((~(in @ X1278 @ X1277)|(in @ X1278 @ (binunion @ X1276 @ X1277)))&(((((in @ X1281 @ X1280)|(X1282)|(in @ X1281 @ X1279)|~(in @ X1281 @ (binunion @ X1279 @ X1280)))&(~(X1282)|(X1282)|(in @ X1281 @ X1279)|~(in @ X1281 @ (binunion @ X1279 @ X1280))))&(((in @ X1281 @ X1280)|(X1282)|~(X1282)|~(in @ X1281 @ (binunion @ X1279 @ X1280)))&(~(X1282)|(X1282)|~(X1282)|~(in @ X1281 @ (binunion @ X1279 @ X1280)))))&((~(in @ X1285 @ (binunion @ X1283 @ X1284))|((in @ X1285 @ X1283)|(in @ X1285 @ X1284)))&((subset @ X1286 @ (binunion @ X1286 @ X1287))&((subset @ X1289 @ (binunion @ X1288 @ X1289))&((~(in @ X1292 @ X1290)|(~(in @ X1292 @ X1291)|(in @ X1292 @ (binintersect @ X1290 @ X1291))))&((~(subset @ X1295 @ X1293)|(~(subset @ X1295 @ X1294)|(subset @ X1295 @ (binintersect @ X1293 @ X1294))))&((~(in @ X1298 @ (binintersect @ X1296 @ X1297))|(in @ X1298 @ X1296))&((subset @ (binintersect @ X1299 @ X1300) @ X1299)&((~(subset @ X1301 @ X1302)|((binintersect @ X1301 @ X1302)=(X1301)))&((((binintersect @ X1303 @ X1304)!=(X1304))|(subset @ X1304 @ X1303))&((~(in @ X1307 @ (binintersect @ X1305 @ X1306))|(in @ X1307 @ X1306))&((((in @ (esk54_2 @ X1308 @ X1309) @ X1308)|((binintersect @ X1308 @ X1309)=(emptyset)))&((in @ (esk54_2 @ X1308 @ X1309) @ X1309)|((binintersect @ X1308 @ X1309)=(emptyset))))&((subset @ (binintersect @ X1311 @ X1312) @ X1312)&((~(subset @ X1314 @ X1313)|((binintersect @ X1313 @ X1314)=(X1314)))&((((binintersect @ X1315 @ X1316)!=(X1315))|(subset @ X1315 @ X1316))&(((binintersect @ X1317 @ (binunion @ X1318 @ X1319))=(binunion @ (binintersect @ X1317 @ X1318) @ (binintersect @ X1317 @ X1319)))&((~(in @ X1322 @ X1320)|((in @ X1322 @ X1321)|(in @ X1322 @ (setminus @ X1320 @ X1321))))&((~(in @ X1325 @ (setminus @ X1323 @ X1324))|(in @ X1325 @ X1323))&((~(in @ X1328 @ (setminus @ X1326 @ X1327))|~(in @ X1328 @ X1327))&((~(subset @ X1329 @ X1330)|((setminus @ X1329 @ X1330)=(emptyset)))&(((in @ X1333 @ (setminus @ X1331 @ X1332))|(~(in @ X1333 @ X1331)|(in @ X1333 @ X1332)))&(((in @ X1336 @ (setminus @ X1334 @ X1335))|((in @ X1336 @ X1335)|~(in @ X1336 @ X1334)))&(((in @ X1339 @ X1337)|~(in @ X1339 @ (setminus @ X1337 @ X1338)))&((~(in @ X1342 @ X1341)|~(in @ X1342 @ (setminus @ X1340 @ X1341)))&((subset @ (setminus @ X1343 @ X1344) @ X1343)&((((setminus @ X1345 @ X1346)!=(emptyset))|(subset @ X1345 @ X1346))&((((~(in @ X1349 @ X1347)|(X1350)|(in @ X1349 @ X1347)|~(in @ X1349 @ (symdiff @ X1347 @ X1348)))&(((in @ X1349 @ X1348)|(X1350)|(in @ X1349 @ X1347)|~(in @ X1349 @ (symdiff @ X1347 @ X1348)))&(~(X1350)|(X1350)|(in @ X1349 @ X1347)|~(in @ X1349 @ (symdiff @ X1347 @ X1348)))))&(((~(in @ X1349 @ X1347)|(X1350)|~(in @ X1349 @ X1348)|~(in @ X1349 @ (symdiff @ X1347 @ X1348)))&(((in @ X1349 @ X1348)|(X1350)|~(in @ X1349 @ X1348)|~(in @ X1349 @ (symdiff @ X1347 @ X1348)))&(~(X1350)|(X1350)|~(in @ X1349 @ X1348)|~(in @ X1349 @ (symdiff @ X1347 @ X1348)))))&((~(in @ X1349 @ X1347)|(X1350)|~(X1350)|~(in @ X1349 @ (symdiff @ X1347 @ X1348)))&(((in @ X1349 @ X1348)|(X1350)|~(X1350)|~(in @ X1349 @ (symdiff @ X1347 @ X1348)))&(~(X1350)|(X1350)|~(X1350)|~(in @ X1349 @ (symdiff @ X1347 @ X1348)))))))&((~(in @ X1353 @ X1351)|((in @ X1353 @ X1352)|(in @ X1353 @ (symdiff @ X1351 @ X1352))))&(((in @ X1356 @ X1354)|(~(in @ X1356 @ X1355)|(in @ X1356 @ (symdiff @ X1354 @ X1355))))&((~(in @ X1359 @ X1357)|(~(in @ X1359 @ X1358)|~(in @ X1359 @ (symdiff @ X1357 @ X1358))))&(((in @ X1362 @ X1360)|((in @ X1362 @ X1361)|~(in @ X1362 @ (symdiff @ X1360 @ X1361))))&((in @ X1364 @ (setadjoin @ X1363 @ (setadjoin @ X1364 @ emptyset)))&((in @ X1365 @ (setunion @ (setadjoin @ (setadjoin @ X1365 @ emptyset) @ (setadjoin @ (setadjoin @ X1365 @ (setadjoin @ X1366 @ emptyset)) @ emptyset))))&((in @ X1368 @ (setunion @ (setadjoin @ (setadjoin @ X1367 @ emptyset) @ (setadjoin @ (setadjoin @ X1367 @ (setadjoin @ X1368 @ emptyset)) @ emptyset))))&(((in @ (esk55_2 @ X1369 @ X1370) @ (setunion @ (setadjoin @ (setadjoin @ X1369 @ emptyset) @ (setadjoin @ (setadjoin @ X1369 @ (setadjoin @ X1370 @ emptyset)) @ emptyset))))&((in @ (esk56_2 @ X1369 @ X1370) @ (setunion @ (setadjoin @ (setadjoin @ X1369 @ emptyset) @ (setadjoin @ (setadjoin @ X1369 @ (setadjoin @ X1370 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1369 @ emptyset) @ (setadjoin @ (setadjoin @ X1369 @ (setadjoin @ X1370 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X1369 @ X1370) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X1369 @ X1370) @ (setadjoin @ (esk56_2 @ X1369 @ X1370) @ emptyset)) @ emptyset)))))&(((in @ (esk57_2 @ X1373 @ X1374) @ (setunion @ (kpair @ X1373 @ X1374)))&((in @ (esk58_2 @ X1373 @ X1374) @ (setunion @ (kpair @ X1373 @ X1374)))&((kpair @ X1373 @ X1374)=(setadjoin @ (setadjoin @ (esk57_2 @ X1373 @ X1374) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X1373 @ X1374) @ (setadjoin @ (esk58_2 @ X1373 @ X1374) @ emptyset)) @ emptyset)))))&((~(in @ X1378 @ X1377)|(subset @ (setadjoin @ X1378 @ emptyset) @ X1377))&((~(in @ X1380 @ X1379)|(in @ (setadjoin @ X1380 @ emptyset) @ (powerset @ X1379)))&((~(in @ X1383 @ X1381)|(in @ (setadjoin @ X1383 @ emptyset) @ (powerset @ (binunion @ X1381 @ X1382))))&((~(in @ X1386 @ (setadjoin @ X1384 @ (setadjoin @ X1385 @ emptyset)))|(((X1386)=(X1384))|((X1386)=(X1385))))&((~(in @ X1389 @ X1387)|(~(in @ X1390 @ X1388)|(subset @ (setadjoin @ X1389 @ (setadjoin @ X1390 @ emptyset)) @ (binunion @ X1387 @ X1388))))&((~(in @ X1393 @ X1391)|(~(in @ X1394 @ X1392)|(in @ (setadjoin @ X1393 @ (setadjoin @ X1394 @ emptyset)) @ (powerset @ (binunion @ X1391 @ X1392)))))&((~(in @ X1397 @ X1395)|(~(in @ X1398 @ X1396)|(subset @ (setadjoin @ (setadjoin @ X1397 @ emptyset) @ (setadjoin @ (setadjoin @ X1397 @ (setadjoin @ X1398 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1395 @ X1396)))))&((~(in @ X1401 @ X1399)|(~(in @ X1402 @ X1400)|(in @ (setadjoin @ (setadjoin @ X1401 @ emptyset) @ (setadjoin @ (setadjoin @ X1401 @ (setadjoin @ X1402 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1399 @ X1400))))))&((~(in @ X1405 @ X1403)|(~(in @ X1406 @ X1404)|(in @ (kpair @ X1405 @ X1406) @ (powerset @ (powerset @ (binunion @ X1403 @ X1404))))))&((~(in @ X1409 @ X1407)|(~(in @ X1410 @ X1408)|(in @ (kpair @ X1409 @ X1410) @ (cartprod @ X1407 @ X1408))))&((((in @ (esk59_3 @ X1411 @ X1412 @ X1413) @ X1411)|~(in @ X1413 @ (cartprod @ X1411 @ X1412)))&(((in @ (esk60_3 @ X1411 @ X1412 @ X1413) @ X1412)|~(in @ X1413 @ (cartprod @ X1411 @ X1412)))&(((X1413)=(kpair @ (esk59_3 @ X1411 @ X1412 @ X1413) @ (esk60_3 @ X1411 @ X1412 @ X1413)))|~(in @ X1413 @ (cartprod @ X1411 @ X1412)))))&((((in @ (esk61_3 @ X1416 @ X1417 @ X1418) @ (setunion @ X1418))|~(in @ X1418 @ (cartprod @ X1416 @ X1417)))&(((in @ (esk62_3 @ X1416 @ X1417 @ X1418) @ (setunion @ X1418))|~(in @ X1418 @ (cartprod @ X1416 @ X1417)))&(((X1418)=(setadjoin @ (setadjoin @ (esk61_3 @ X1416 @ X1417 @ X1418) @ emptyset) @ (setadjoin @ (setadjoin @ (esk61_3 @ X1416 @ X1417 @ X1418) @ (setadjoin @ (esk62_3 @ X1416 @ X1417 @ X1418) @ emptyset)) @ emptyset)))|~(in @ X1418 @ (cartprod @ X1416 @ X1417)))))&((((in @ (esk63_2 @ X1421 @ X1422) @ X1421)|~(in @ X1422 @ (setunion @ X1421)))&((in @ X1422 @ (esk63_2 @ X1421 @ X1422))|~(in @ X1422 @ (setunion @ X1421))))&((subset @ (setunion @ (setadjoin @ X1424 @ emptyset)) @ X1424)&((subset @ X1425 @ (setunion @ (setadjoin @ X1425 @ emptyset)))&(((setunion @ (setadjoin @ X1426 @ emptyset))=(X1426))&(((((in @ (esk66_2 @ X1427 @ X1428) @ (dsetconstr @ X1427 @ X1428))|(~(in @ X1431 @ X1427)|~(X1428 @ X1431))|(in @ (esk64_2 @ X1427 @ X1428) @ X1427))&(((dsetconstr @ X1427 @ X1428)=(setadjoin @ (esk66_2 @ X1427 @ X1428) @ emptyset))|(~(in @ X1431 @ X1427)|~(X1428 @ X1431))|(in @ (esk64_2 @ X1427 @ X1428) @ X1427)))&((((in @ (esk66_2 @ X1427 @ X1428) @ (dsetconstr @ X1427 @ X1428))|(~(in @ X1431 @ X1427)|~(X1428 @ X1431))|(in @ (esk65_2 @ X1427 @ X1428) @ X1427))&(((dsetconstr @ X1427 @ X1428)=(setadjoin @ (esk66_2 @ X1427 @ X1428) @ emptyset))|(~(in @ X1431 @ X1427)|~(X1428 @ X1431))|(in @ (esk65_2 @ X1427 @ X1428) @ X1427)))&((((in @ (esk66_2 @ X1427 @ X1428) @ (dsetconstr @ X1427 @ X1428))|(~(in @ X1431 @ X1427)|~(X1428 @ X1431))|(X1428 @ (esk64_2 @ X1427 @ X1428)))&(((dsetconstr @ X1427 @ X1428)=(setadjoin @ (esk66_2 @ X1427 @ X1428) @ emptyset))|(~(in @ X1431 @ X1427)|~(X1428 @ X1431))|(X1428 @ (esk64_2 @ X1427 @ X1428))))&((((in @ (esk66_2 @ X1427 @ X1428) @ (dsetconstr @ X1427 @ X1428))|(~(in @ X1431 @ X1427)|~(X1428 @ X1431))|(X1428 @ (esk65_2 @ X1427 @ X1428)))&(((dsetconstr @ X1427 @ X1428)=(setadjoin @ (esk66_2 @ X1427 @ X1428) @ emptyset))|(~(in @ X1431 @ X1427)|~(X1428 @ X1431))|(X1428 @ (esk65_2 @ X1427 @ X1428))))&(((in @ (esk66_2 @ X1427 @ X1428) @ (dsetconstr @ X1427 @ X1428))|(~(in @ X1431 @ X1427)|~(X1428 @ X1431))|((esk64_2 @ X1427 @ X1428)!=(esk65_2 @ X1427 @ X1428)))&(((dsetconstr @ X1427 @ X1428)=(setadjoin @ (esk66_2 @ X1427 @ X1428) @ emptyset))|(~(in @ X1431 @ X1427)|~(X1428 @ X1431))|((esk64_2 @ X1427 @ X1428)!=(esk65_2 @ X1427 @ X1428))))))))&((((in @ (esk67_2 @ X1433 @ X1434) @ X1433)|(~(in @ X1435 @ (dsetconstr @ X1433 @ X1434))|((dsetconstr @ X1433 @ X1434)!=(setadjoin @ X1435 @ emptyset))))&((X1434 @ (esk67_2 @ X1433 @ X1434))|(~(in @ X1435 @ (dsetconstr @ X1433 @ X1434))|((dsetconstr @ X1433 @ X1434)!=(setadjoin @ X1435 @ emptyset)))))&(((((in @ (esk69_3 @ X1437 @ X1438 @ X1439) @ (dsetconstr @ X1437 @ X1438))|(in @ (esk68_3 @ X1437 @ X1438 @ X1439) @ X1437)|~(X1438 @ X1439)|~(in @ X1439 @ X1437))&(((dsetconstr @ X1437 @ X1438)=(setadjoin @ (esk69_3 @ X1437 @ X1438 @ X1439) @ emptyset))|(in @ (esk68_3 @ X1437 @ X1438 @ X1439) @ X1437)|~(X1438 @ X1439)|~(in @ X1439 @ X1437)))&((((in @ (esk69_3 @ X1437 @ X1438 @ X1439) @ (dsetconstr @ X1437 @ X1438))|(X1438 @ (esk68_3 @ X1437 @ X1438 @ X1439))|~(X1438 @ X1439)|~(in @ X1439 @ X1437))&(((dsetconstr @ X1437 @ X1438)=(setadjoin @ (esk69_3 @ X1437 @ X1438 @ X1439) @ emptyset))|(X1438 @ (esk68_3 @ X1437 @ X1438 @ X1439))|~(X1438 @ X1439)|~(in @ X1439 @ X1437)))&(((in @ (esk69_3 @ X1437 @ X1438 @ X1439) @ (dsetconstr @ X1437 @ X1438))|((esk68_3 @ X1437 @ X1438 @ X1439)!=(X1439))|~(X1438 @ X1439)|~(in @ X1439 @ X1437))&(((dsetconstr @ X1437 @ X1438)=(setadjoin @ (esk69_3 @ X1437 @ X1438 @ X1439) @ emptyset))|((esk68_3 @ X1437 @ X1438 @ X1439)!=(X1439))|~(X1438 @ X1439)|~(in @ X1439 @ X1437)))))&(((((in @ (esk72_2 @ X1442 @ X1443) @ (dsetconstr @ X1442 @ X1443))|(~(in @ X1446 @ X1442)|~(X1443 @ X1446))|(in @ (esk70_2 @ X1442 @ X1443) @ X1442))&(((dsetconstr @ X1442 @ X1443)=(setadjoin @ (esk72_2 @ X1442 @ X1443) @ emptyset))|(~(in @ X1446 @ X1442)|~(X1443 @ X1446))|(in @ (esk70_2 @ X1442 @ X1443) @ X1442)))&((((in @ (esk72_2 @ X1442 @ X1443) @ (dsetconstr @ X1442 @ X1443))|(~(in @ X1446 @ X1442)|~(X1443 @ X1446))|(in @ (esk71_2 @ X1442 @ X1443) @ X1442))&(((dsetconstr @ X1442 @ X1443)=(setadjoin @ (esk72_2 @ X1442 @ X1443) @ emptyset))|(~(in @ X1446 @ X1442)|~(X1443 @ X1446))|(in @ (esk71_2 @ X1442 @ X1443) @ X1442)))&((((in @ (esk72_2 @ X1442 @ X1443) @ (dsetconstr @ X1442 @ X1443))|(~(in @ X1446 @ X1442)|~(X1443 @ X1446))|(X1443 @ (esk70_2 @ X1442 @ X1443)))&(((dsetconstr @ X1442 @ X1443)=(setadjoin @ (esk72_2 @ X1442 @ X1443) @ emptyset))|(~(in @ X1446 @ X1442)|~(X1443 @ X1446))|(X1443 @ (esk70_2 @ X1442 @ X1443))))&((((in @ (esk72_2 @ X1442 @ X1443) @ (dsetconstr @ X1442 @ X1443))|(~(in @ X1446 @ X1442)|~(X1443 @ X1446))|(X1443 @ (esk71_2 @ X1442 @ X1443)))&(((dsetconstr @ X1442 @ X1443)=(setadjoin @ (esk72_2 @ X1442 @ X1443) @ emptyset))|(~(in @ X1446 @ X1442)|~(X1443 @ X1446))|(X1443 @ (esk71_2 @ X1442 @ X1443))))&(((in @ (esk72_2 @ X1442 @ X1443) @ (dsetconstr @ X1442 @ X1443))|(~(in @ X1446 @ X1442)|~(X1443 @ X1446))|((esk70_2 @ X1442 @ X1443)!=(esk71_2 @ X1442 @ X1443)))&(((dsetconstr @ X1442 @ X1443)=(setadjoin @ (esk72_2 @ X1442 @ X1443) @ emptyset))|(~(in @ X1446 @ X1442)|~(X1443 @ X1446))|((esk70_2 @ X1442 @ X1443)!=(esk71_2 @ X1442 @ X1443))))))))&((((setadjoin @ X1448 @ emptyset)!=(setadjoin @ X1449 @ emptyset))|((X1448)=(X1449)))&((~(in @ (setadjoin @ X1452 @ emptyset) @ (setadjoin @ (setadjoin @ X1450 @ emptyset) @ (setadjoin @ (setadjoin @ X1450 @ (setadjoin @ X1451 @ emptyset)) @ emptyset)))|((X1450)=(X1452)))&((((in @ (esk73_1 @ X1453) @ (dsetconstr @ (setunion @ X1453) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1453)))))|(~(in @ X1454 @ (setunion @ X1453))|(~(in @ X1455 @ (setunion @ X1453))|((X1453)!=(setadjoin @ (setadjoin @ X1454 @ emptyset) @ (setadjoin @ (setadjoin @ X1454 @ (setadjoin @ X1455 @ emptyset)) @ emptyset))))))&(((dsetconstr @ (setunion @ X1453) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1453))))=(setadjoin @ (esk73_1 @ X1453) @ emptyset))|(~(in @ X1454 @ (setunion @ X1453))|(~(in @ X1455 @ (setunion @ X1453))|((X1453)!=(setadjoin @ (setadjoin @ X1454 @ emptyset) @ (setadjoin @ (setadjoin @ X1454 @ (setadjoin @ X1455 @ emptyset)) @ emptyset)))))))&((~(in @ X1458 @ X1457)|((X1457)!=(setadjoin @ X1458 @ emptyset))|(in @ (setunion @ X1457) @ X1457))&((kfst @ (kpair @ esk74_0 @ esk75_0))!=(esk74_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_228])])])])])])])).
1234.53/170.06	thf(c_0_230, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_231, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk1_2 @ X2 @ X3) @ X2)|(in @ (esk1_2 @ X2 @ X3) @ X3)|((X2)=(X3)))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_232, plain, ![X981:$i, X982:$i]:(((kpair @ X981 @ X982)=(setadjoin @ (setadjoin @ X981 @ emptyset) @ (setadjoin @ (setadjoin @ X981 @ (setadjoin @ X982 @ emptyset)) @ emptyset)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[kpair])])).
1234.53/170.06	thf(c_0_233, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk9_1 @ X2) @ X2)|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_234, negated_conjecture, ![X2:$i]:((((emptyset)=(X2))|(in @ (esk1_2 @ emptyset @ X2) @ X2))), inference(spm,[status(thm)],[c_0_230, c_0_231])).
1234.53/170.06	thf(c_0_235, plain, ![X984:$i, X985:$i]:(((kpair @ X984 @ X985)=(setadjoin @ (setadjoin @ X984 @ emptyset) @ (setadjoin @ (setadjoin @ X984 @ (setadjoin @ X985 @ emptyset)) @ emptyset)))), inference(variable_rename,[status(thm)],[c_0_232])).
1234.53/170.06	thf(c_0_236, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ X4)|~((in @ X2 @ (binintersect @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_237, negated_conjecture, ![X2:$i]:((((emptyset)=(X2))|(in @ (esk9_1 @ X2) @ X2))), inference(spm,[status(thm)],[c_0_233, c_0_234])).
1234.53/170.06	thf(c_0_238, plain, ![X983:$i]:(((kfst @ X983)=(setunion @ (dsetconstr @ (setunion @ X983) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X983))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[kfst])])).
1234.53/170.06	thf(c_0_239, plain, ![X1480:$i, X2:$i]:(((epred2_1 @ X2 @ X1480)<=>(in @ (setadjoin @ X1480 @ emptyset) @ X2))), introduced(definition)).
1234.53/170.06	thf(c_0_240, negated_conjecture, ![X3:$i, X2:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)) @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_241, plain, ![X2:$i, X3:$i]:(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_235])).
1234.53/170.06	thf(c_0_242, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_243, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_244, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_245, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((binintersect @ X2 @ (binunion @ X3 @ X4))=(binunion @ (binintersect @ X2 @ X3) @ (binintersect @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_246, negated_conjecture, ![X2:$i, X3:$i]:((((binintersect @ X3 @ X2)=(X2))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_247, negated_conjecture, ![X2:$i]:((((X2)=(emptyset))|~((subset @ X2 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_248, negated_conjecture, ![X3:$i, X2:$i]:((subset @ (binintersect @ X2 @ X3) @ X2)), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_249, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ X3)|~((in @ X2 @ (binintersect @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_250, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((in @ X3 @ (setadjoin @ X2 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_251, negated_conjecture, ![X2:$i, X3:$i]:((((binintersect @ X2 @ X3)=(emptyset))|(in @ (esk9_1 @ (binintersect @ X2 @ X3)) @ X3))), inference(spm,[status(thm)],[c_0_236, c_0_237])).
1234.53/170.06	thf(c_0_252, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((((X3)=(X2))|~((in @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)) @ emptyset)))))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_253, plain, ![X1484:$i, X1485:$i]:(((~(epred2_1 @ X1485 @ X1484)|(in @ (setadjoin @ X1484 @ emptyset) @ X1485))&(~(in @ (setadjoin @ X1484 @ emptyset) @ X1485)|(epred2_1 @ X1485 @ X1484)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])).
1234.53/170.06	thf(c_0_254, plain, ![X986:$i]:(((kfst @ X986)=(setunion @ (dsetconstr @ (setunion @ X986) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X986))))))), inference(variable_rename,[status(thm)],[c_0_238])).
1234.53/170.06	thf(c_0_255, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((((dsetconstr @ (setunion @ X2) @ (epred2_1 @ X2))=(setadjoin @ (esk73_1 @ X2) @ emptyset))|~((in @ X3 @ (setunion @ X2)))|~((in @ X4 @ (setunion @ X2)))|((X2)!=(setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)) @ emptyset))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_229]), c_0_239])).
1234.53/170.06	thf(c_0_256, negated_conjecture, ![X3:$i, X2:$i]:((in @ X2 @ (setunion @ (kpair @ X3 @ X2)))), inference(rw,[status(thm)],[c_0_240, c_0_241])).
1234.53/170.06	thf(c_0_257, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (kpair @ X2 @ X3)))), inference(rw,[status(thm)],[c_0_242, c_0_241])).
1234.53/170.06	thf(c_0_258, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ X3)|~((subset @ (setadjoin @ X2 @ X4) @ X3)))), inference(spm,[status(thm)],[c_0_243, c_0_244])).
1234.53/170.06	thf(c_0_259, negated_conjecture, ![X3:$i, X2:$i]:((subset @ X2 @ (binunion @ X3 @ X2))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_260, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:((((binunion @ (binintersect @ X2 @ X3) @ X4)=(binintersect @ X2 @ (binunion @ X3 @ X4)))|~((subset @ X4 @ X2)))), inference(spm,[status(thm)],[c_0_245, c_0_246])).
1234.53/170.06	thf(c_0_261, negated_conjecture, ![X2:$i]:(((binintersect @ emptyset @ X2)=(emptyset))), inference(spm,[status(thm)],[c_0_247, c_0_248])).
1234.53/170.06	thf(c_0_262, negated_conjecture, ![X3:$i, X2:$i]:((((binintersect @ X2 @ X3)=(emptyset))|(in @ (esk9_1 @ (binintersect @ X2 @ X3)) @ X2))), inference(spm,[status(thm)],[c_0_249, c_0_237])).
1234.53/170.06	thf(c_0_263, negated_conjecture, ![X2:$i, X3:$i]:((((esk9_1 @ (binintersect @ X2 @ (setadjoin @ X3 @ emptyset)))=(X3))|((binintersect @ X2 @ (setadjoin @ X3 @ emptyset))=(emptyset)))), inference(spm,[status(thm)],[c_0_250, c_0_251])).
1234.53/170.06	thf(c_0_264, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((((X2)=(X3))|~((in @ (setadjoin @ X2 @ emptyset) @ (kpair @ X3 @ X4))))), inference(rw,[status(thm)],[c_0_252, c_0_241])).
1234.53/170.06	thf(c_0_265, plain, ![X2:$i, X3:$i]:(((in @ (setadjoin @ X3 @ emptyset) @ X2)|~((epred2_1 @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_253])).
1234.53/170.06	thf(c_0_266, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_267, plain, ![X2:$i]:(((kfst @ X2)=(setunion @ (dsetconstr @ (setunion @ X2) @ (epred2_1 @ X2))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_254]), c_0_239])).
1234.53/170.06	thf(c_0_268, negated_conjecture, ![X2:$i, X3:$i]:(((dsetconstr @ (setunion @ (kpair @ X2 @ X3)) @ (epred2_1 @ (kpair @ X2 @ X3)))=(setadjoin @ (esk73_1 @ (kpair @ X2 @ X3)) @ emptyset))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_255, c_0_241])]), c_0_256]), c_0_257])])).
1234.53/170.06	thf(c_0_269, negated_conjecture, ![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_270, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((in @ X2 @ (binunion @ X3 @ (setadjoin @ X2 @ X4)))), inference(spm,[status(thm)],[c_0_258, c_0_259])).
1234.53/170.06	thf(c_0_271, negated_conjecture, ![X2:$i]:((((binunion @ emptyset @ X2)=(emptyset))|~((subset @ X2 @ emptyset)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260, c_0_261]), c_0_261])).
1234.53/170.06	thf(c_0_272, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X3 @ X2)|((binintersect @ X2 @ X3)!=(X3)))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_273, negated_conjecture, ![X3:$i, X2:$i]:((((binintersect @ X2 @ (setadjoin @ X3 @ emptyset))=(emptyset))|(in @ X3 @ X2))), inference(spm,[status(thm)],[c_0_262, c_0_263])).
1234.53/170.06	thf(c_0_274, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ (setadjoin @ X2 @ emptyset) @ X3)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_275, plain, ![X4:$i, X3:$i, X2:$i]:((((X2)=(X3))|~((epred2_1 @ (kpair @ X3 @ X4) @ X2)))), inference(spm,[status(thm)],[c_0_264, c_0_265])).
1234.53/170.06	thf(c_0_276, negated_conjecture, ![X2:$i, X1:$i > $o]:((((dsetconstr @ X2 @ X1)=(emptyset))|(X1 @ (esk9_1 @ (dsetconstr @ X2 @ X1))))), inference(spm,[status(thm)],[c_0_266, c_0_237])).
1234.53/170.06	thf(c_0_277, negated_conjecture, ![X2:$i, X3:$i]:(((esk73_1 @ (kpair @ X2 @ X3))=(kfst @ (kpair @ X2 @ X3)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267, c_0_268]), c_0_269])).
1234.53/170.06	thf(c_0_278, negated_conjecture, ![X2:$i, X3:$i]:((in @ (esk9_1 @ (setadjoin @ X2 @ X3)) @ (setadjoin @ X2 @ X3))), inference(spm,[status(thm)],[c_0_233, c_0_244])).
1234.53/170.06	thf(c_0_279, negated_conjecture, ![X2:$i, X3:$i]:(~((subset @ (setadjoin @ X2 @ X3) @ emptyset))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270, c_0_271]), c_0_230])).
1234.53/170.06	thf(c_0_280, negated_conjecture, ![X3:$i, X2:$i]:(((subset @ (setadjoin @ X2 @ emptyset) @ X3)|((setadjoin @ X2 @ emptyset)!=(emptyset)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272, c_0_273]), c_0_274])).
1234.53/170.06	thf(c_0_281, plain, ![X2:$i, X3:$i, X4:$i]:((((esk9_1 @ (dsetconstr @ X2 @ (epred2_1 @ (kpair @ X3 @ X4))))=(X3))|((dsetconstr @ X2 @ (epred2_1 @ (kpair @ X3 @ X4)))=(emptyset)))), inference(spm,[status(thm)],[c_0_275, c_0_276])).
1234.53/170.06	thf(c_0_282, negated_conjecture, ![X2:$i, X3:$i]:(((dsetconstr @ (setunion @ (kpair @ X2 @ X3)) @ (epred2_1 @ (kpair @ X2 @ X3)))=(setadjoin @ (kfst @ (kpair @ X2 @ X3)) @ emptyset))), inference(rw,[status(thm)],[c_0_268, c_0_277])).
1234.53/170.06	thf(c_0_283, negated_conjecture, ![X2:$i]:(((esk9_1 @ (setadjoin @ X2 @ emptyset))=(X2))), inference(spm,[status(thm)],[c_0_250, c_0_278])).
1234.53/170.06	thf(c_0_284, negated_conjecture, ![X2:$i]:(((setadjoin @ X2 @ emptyset)!=(emptyset))), inference(spm,[status(thm)],[c_0_279, c_0_280])).
1234.53/170.06	thf(c_0_285, negated_conjecture, ((kfst @ (kpair @ esk74_0 @ esk75_0))!=(esk74_0)), inference(split_conjunct,[status(thm)],[c_0_229])).
1234.53/170.06	thf(c_0_286, negated_conjecture, ![X3:$i, X2:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281, c_0_282]), c_0_283]), c_0_284])).
1234.53/170.06	thf(c_0_287, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285, c_0_286])]), ['proof']).
1234.53/170.06	# SZS output end CNFRefutation
1234.53/170.06	# Parsed axioms                        : 360
1234.53/170.06	# Removed by relevancy pruning/SinE    : 0
1234.53/170.06	# Initial clauses                      : 515
1234.53/170.06	# Removed in clause preprocessing      : 216
1234.53/170.06	# Initial clauses in saturation        : 299
1234.53/170.06	# Processed clauses                    : 17733
1234.53/170.06	# ...of these trivial                  : 430
1234.53/170.06	# ...subsumed                          : 11730
1234.53/170.06	# ...remaining for further processing  : 5573
1234.53/170.06	# Other redundant clauses eliminated   : 392
1234.53/170.06	# Clauses deleted for lack of memory   : 0
1234.53/170.06	# Backward-subsumed                    : 195
1234.53/170.06	# Backward-rewritten                   : 57
1234.53/170.06	# Generated clauses                    : 687221
1234.53/170.06	# ...of the previous two non-redundant : 596081
1234.53/170.06	# ...aggressively subsumed             : 0
1234.53/170.06	# Contextual simplify-reflections      : 5
1234.53/170.06	# Paramodulations                      : 686683
1234.53/170.06	# Factorizations                       : 70
1234.53/170.06	# NegExts                              : 51
1234.53/170.06	# Equation resolutions                 : 393
1234.53/170.06	# Disequality decompositions           : 0
1234.53/170.06	# Total rewrite steps                  : 154764
1234.53/170.06	# ...of those cached                   : 142498
1234.53/170.06	# Propositional unsat checks           : 0
1234.53/170.06	#    Propositional check models        : 0
1234.53/170.06	#    Propositional check unsatisfiable : 0
1234.53/170.06	#    Propositional clauses             : 0
1234.53/170.06	#    Propositional clauses after purity: 0
1234.53/170.06	#    Propositional unsat core size     : 0
1234.53/170.06	#    Propositional preprocessing time  : 0.000
1234.53/170.06	#    Propositional encoding time       : 0.000
1234.53/170.06	#    Propositional solver time         : 0.000
1234.53/170.06	#    Success case prop preproc time    : 0.000
1234.53/170.06	#    Success case prop encoding time   : 0.000
1234.53/170.06	#    Success case prop solver time     : 0.000
1234.53/170.06	# Current number of processed clauses  : 5024
1234.53/170.06	#    Positive orientable unit clauses  : 2673
1234.53/170.06	#    Positive unorientable unit clauses: 0
1234.53/170.06	#    Negative unit clauses             : 291
1234.53/170.06	#    Non-unit-clauses                  : 2060
1234.53/170.06	# Current number of unprocessed clauses: 575952
1234.53/170.06	# ...number of literals in the above   : 1603225
1234.53/170.06	# Current number of archived formulas  : 0
1234.53/170.06	# Current number of archived clauses   : 533
1234.53/170.06	# Clause-clause subsumption calls (NU) : 330493
1234.53/170.06	# Rec. Clause-clause subsumption calls : 227902
1234.53/170.06	# Non-unit clause-clause subsumptions  : 7812
1234.53/170.06	# Unit Clause-clause subsumption calls : 86900
1234.53/170.06	# Rewrite failures with RHS unbound    : 0
1234.53/170.06	# BW rewrite match attempts            : 186693
1234.53/170.06	# BW rewrite match successes           : 49
1234.53/170.06	# Condensation attempts                : 0
1234.53/170.06	# Condensation successes               : 0
1234.53/170.06	# Termbank termtop insertions          : 11507418
1234.53/170.06	# Search garbage collected termcells   : 16336
1234.53/170.06	
1234.53/170.06	# -------------------------------------------------
1234.53/170.06	# User time                : 151.480 s
1234.53/170.06	# System time              : 2.264 s
1234.53/170.06	# Total time               : 153.744 s
1234.53/170.06	# Maximum resident set size: 5736 pages
1234.53/170.06	
1234.53/170.06	# -------------------------------------------------
1234.53/170.06	# User time                : 151.490 s
1234.53/170.06	# System time              : 2.269 s
1234.53/170.06	# Total time               : 153.759 s
1234.53/170.06	# Maximum resident set size: 2204 pages
1234.53/170.06	% E exiting
1234.74/170.06	% E exiting
1234.74/170.06	EOF