0.08/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.09	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.08/0.30	% Computer : n015.cluster.edu
0.08/0.30	% Model    : x86_64 x86_64
0.08/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.30	% Memory   : 8042.1875MB
0.08/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.08/0.30	% CPULimit   : 1920
0.08/0.30	% WCLimit    : 240
0.08/0.30	% DateTime   : Wed Jul 30 02:46:49 EDT 2025
0.08/0.30	% CPUTime    : 
0.17/0.41	Running higher-order theorem proving
0.17/0.45	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.jCVY7KWTs4/E---3.1_2297.p
0.69/0.55	# Version: 3.0.0-ho
0.69/0.55	# Preprocessing class: HSLMSLSSLLLCHFA.
0.69/0.55	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.69/0.55	# Starting ehoh_best5 with 240s (1) cores
0.69/0.55	# Starting almost_fo_3_lam with 240s (1) cores
0.69/0.55	# Starting new_bool_5 with 240s (1) cores
0.69/0.55	# Starting pre_casc_3 with 240s (1) cores
0.69/0.55	# Starting ho_unfolding_8 with 240s (1) cores
0.69/0.55	# Starting new_ho_10_cnf2 with 240s (1) cores
0.69/0.55	# Starting new_bool_3 with 240s (1) cores
0.69/0.55	# Starting new_ho_5 with 240s (1) cores
0.69/0.55	# new_bool_5 with pid 2380 completed with status 0
0.69/0.55	# Result found by new_bool_5
0.69/0.55	# Preprocessing class: HSLMSLSSLLLCHFA.
0.69/0.55	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.69/0.55	# Starting ehoh_best5 with 240s (1) cores
0.69/0.55	# Starting almost_fo_3_lam with 240s (1) cores
0.69/0.55	# Starting new_bool_5 with 240s (1) cores
0.69/0.55	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.69/0.55	# Search class: HGHSM-FSLM31-MHFMMSBN
0.69/0.55	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.69/0.55	# Starting new_ho_10_cnf2 with 130s (1) cores
0.69/0.55	# new_ho_10_cnf2 with pid 2386 completed with status 0
0.69/0.55	# Result found by new_ho_10_cnf2
0.69/0.55	# Preprocessing class: HSLMSLSSLLLCHFA.
0.69/0.55	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
0.69/0.55	# Starting ehoh_best5 with 240s (1) cores
0.69/0.55	# Starting almost_fo_3_lam with 240s (1) cores
0.69/0.55	# Starting new_bool_5 with 240s (1) cores
0.69/0.55	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.69/0.55	# Search class: HGHSM-FSLM31-MHFMMSBN
0.69/0.55	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.69/0.55	# Starting new_ho_10_cnf2 with 130s (1) cores
0.69/0.55	# Preprocessing time       : 0.004 s
0.69/0.55	# Presaturation interreduction done
0.69/0.55	
0.69/0.55	# Proof found!
0.69/0.55	# SZS status Theorem
0.69/0.55	# SZS output start CNFRefutation
0.69/0.55	thf(decl_23, type, in: $i > $i > $o).
0.69/0.55	thf(decl_24, type, exu: ($i > $o) > $o).
0.69/0.55	thf(decl_25, type, setextAx: $o).
0.69/0.55	thf(decl_26, type, emptyset: $i).
0.69/0.55	thf(decl_27, type, emptysetAx: $o).
0.69/0.55	thf(decl_28, type, setadjoin: $i > $i > $i).
0.69/0.55	thf(decl_29, type, setadjoinAx: $o).
0.69/0.55	thf(decl_30, type, powerset: $i > $i).
0.69/0.55	thf(decl_31, type, powersetAx: $o).
0.69/0.55	thf(decl_32, type, setunion: $i > $i).
0.69/0.55	thf(decl_33, type, setunionAx: $o).
0.69/0.55	thf(decl_34, type, omega: $i).
0.69/0.55	thf(decl_35, type, omega0Ax: $o).
0.69/0.55	thf(decl_36, type, omegaSAx: $o).
0.69/0.55	thf(decl_37, type, omegaIndAx: $o).
0.69/0.55	thf(decl_38, type, replAx: $o).
0.69/0.55	thf(decl_39, type, foundationAx: $o).
0.69/0.55	thf(decl_40, type, wellorderingAx: $o).
0.69/0.55	thf(decl_41, type, descr: ($i > $o) > $i).
0.69/0.55	thf(decl_42, type, descrp: $o).
0.69/0.55	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_44, type, dsetconstrI: $o).
0.69/0.55	thf(decl_45, type, dsetconstrEL: $o).
0.69/0.55	thf(decl_46, type, dsetconstrER: $o).
0.69/0.55	thf(decl_47, type, exuE1: $o).
0.69/0.55	thf(decl_48, type, prop2set: $o > $i).
0.69/0.55	thf(decl_49, type, prop2setE: $o).
0.69/0.55	thf(decl_50, type, emptysetE: $o).
0.69/0.55	thf(decl_51, type, emptysetimpfalse: $o).
0.69/0.55	thf(decl_52, type, notinemptyset: $o).
0.69/0.55	thf(decl_53, type, exuE3e: $o).
0.69/0.55	thf(decl_54, type, setext: $o).
0.69/0.55	thf(decl_55, type, emptyI: $o).
0.69/0.55	thf(decl_56, type, noeltsimpempty: $o).
0.69/0.55	thf(decl_57, type, setbeta: $o).
0.69/0.55	thf(decl_58, type, nonempty: $i > $o).
0.69/0.55	thf(decl_59, type, nonemptyE1: $o).
0.69/0.55	thf(decl_60, type, nonemptyI: $o).
0.69/0.55	thf(decl_61, type, nonemptyI1: $o).
0.69/0.55	thf(decl_62, type, setadjoinIL: $o).
0.69/0.55	thf(decl_63, type, emptyinunitempty: $o).
0.69/0.55	thf(decl_64, type, setadjoinIR: $o).
0.69/0.55	thf(decl_65, type, setadjoinE: $o).
0.69/0.55	thf(decl_66, type, setadjoinOr: $o).
0.69/0.55	thf(decl_67, type, setoftrueEq: $o).
0.69/0.55	thf(decl_68, type, powersetI: $o).
0.69/0.55	thf(decl_69, type, emptyinPowerset: $o).
0.69/0.55	thf(decl_70, type, emptyInPowerset: $o).
0.69/0.55	thf(decl_71, type, powersetE: $o).
0.69/0.55	thf(decl_72, type, setunionI: $o).
0.69/0.55	thf(decl_73, type, setunionE: $o).
0.69/0.55	thf(decl_74, type, subPowSU: $o).
0.69/0.55	thf(decl_75, type, exuE2: $o).
0.69/0.55	thf(decl_76, type, nonemptyImpWitness: $o).
0.69/0.55	thf(decl_77, type, uniqinunit: $o).
0.69/0.55	thf(decl_78, type, notinsingleton: $o).
0.69/0.55	thf(decl_79, type, eqinunit: $o).
0.69/0.55	thf(decl_80, type, singletonsswitch: $o).
0.69/0.55	thf(decl_81, type, upairsetE: $o).
0.69/0.55	thf(decl_82, type, upairsetIL: $o).
0.69/0.55	thf(decl_83, type, upairsetIR: $o).
0.69/0.55	thf(decl_84, type, emptyE1: $o).
0.69/0.55	thf(decl_85, type, vacuousDall: $o).
0.69/0.55	thf(decl_86, type, quantDeMorgan1: $o).
0.69/0.55	thf(decl_87, type, quantDeMorgan2: $o).
0.69/0.55	thf(decl_88, type, quantDeMorgan3: $o).
0.69/0.55	thf(decl_89, type, quantDeMorgan4: $o).
0.69/0.55	thf(decl_90, type, prop2setI: $o).
0.69/0.55	thf(decl_92, type, prop2set2propI: $o).
0.69/0.55	thf(decl_93, type, notdexE: $o).
0.69/0.55	thf(decl_94, type, notdallE: $o).
0.69/0.55	thf(decl_95, type, exuI1: $o).
0.69/0.55	thf(decl_96, type, exuI3: $o).
0.69/0.55	thf(decl_97, type, exuI2: $o).
0.69/0.55	thf(decl_98, type, inCongP: $o).
0.69/0.55	thf(decl_99, type, in__Cong: $o).
0.69/0.55	thf(decl_100, type, exuE3u: $o).
0.69/0.55	thf(decl_101, type, exu__Cong: $o).
0.69/0.55	thf(decl_102, type, emptyset__Cong: $o).
0.69/0.55	thf(decl_103, type, setadjoin__Cong: $o).
0.69/0.55	thf(decl_104, type, powerset__Cong: $o).
0.69/0.55	thf(decl_105, type, setunion__Cong: $o).
0.69/0.55	thf(decl_106, type, omega__Cong: $o).
0.69/0.55	thf(decl_107, type, exuEu: $o).
0.69/0.55	thf(decl_108, type, descr__Cong: $o).
0.69/0.55	thf(decl_109, type, dsetconstr__Cong: $o).
0.69/0.55	thf(decl_110, type, subset: $i > $i > $o).
0.69/0.55	thf(decl_113, type, subsetI1: $o).
0.69/0.55	thf(decl_114, type, eqimpsubset2: $o).
0.69/0.55	thf(decl_115, type, eqimpsubset1: $o).
0.69/0.55	thf(decl_116, type, subsetI2: $o).
0.69/0.55	thf(decl_117, type, emptysetsubset: $o).
0.69/0.55	thf(decl_118, type, subsetE: $o).
0.69/0.55	thf(decl_119, type, subsetE2: $o).
0.69/0.55	thf(decl_120, type, notsubsetI: $o).
0.69/0.55	thf(decl_121, type, notequalI1: $o).
0.69/0.55	thf(decl_122, type, notequalI2: $o).
0.69/0.55	thf(decl_123, type, subsetRefl: $o).
0.69/0.55	thf(decl_124, type, subsetTrans: $o).
0.69/0.55	thf(decl_125, type, setadjoinSub: $o).
0.69/0.55	thf(decl_126, type, setadjoinSub2: $o).
0.69/0.55	thf(decl_127, type, subset2powerset: $o).
0.69/0.55	thf(decl_128, type, setextsub: $o).
0.69/0.55	thf(decl_129, type, subsetemptysetimpeq: $o).
0.69/0.55	thf(decl_130, type, powersetI1: $o).
0.69/0.55	thf(decl_131, type, powersetE1: $o).
0.69/0.55	thf(decl_132, type, inPowerset: $o).
0.69/0.55	thf(decl_133, type, powersetsubset: $o).
0.69/0.55	thf(decl_134, type, sepInPowerset: $o).
0.69/0.55	thf(decl_135, type, sepSubset: $o).
0.69/0.55	thf(decl_136, type, binunion: $i > $i > $i).
0.69/0.55	thf(decl_137, type, binunionIL: $o).
0.69/0.55	thf(decl_138, type, upairset2IR: $o).
0.69/0.55	thf(decl_139, type, binunionIR: $o).
0.69/0.55	thf(decl_140, type, binunionEcases: $o).
0.69/0.55	thf(decl_141, type, binunionE: $o).
0.69/0.55	thf(decl_142, type, binunionLsub: $o).
0.69/0.55	thf(decl_143, type, binunionRsub: $o).
0.69/0.55	thf(decl_144, type, binintersect: $i > $i > $i).
0.69/0.55	thf(decl_145, type, binintersectI: $o).
0.69/0.55	thf(decl_146, type, binintersectSubset5: $o).
0.69/0.55	thf(decl_147, type, binintersectEL: $o).
0.69/0.55	thf(decl_148, type, binintersectLsub: $o).
0.69/0.55	thf(decl_149, type, binintersectSubset2: $o).
0.69/0.55	thf(decl_150, type, binintersectSubset3: $o).
0.69/0.55	thf(decl_151, type, binintersectER: $o).
0.69/0.55	thf(decl_152, type, disjointsetsI1: $o).
0.69/0.55	thf(decl_153, type, binintersectRsub: $o).
0.69/0.55	thf(decl_154, type, binintersectSubset4: $o).
0.69/0.55	thf(decl_155, type, binintersectSubset1: $o).
0.69/0.55	thf(decl_156, type, bs114d: $o).
0.69/0.55	thf(decl_158, type, setminus: $i > $i > $i).
0.69/0.55	thf(decl_159, type, setminusI: $o).
0.69/0.55	thf(decl_160, type, setminusEL: $o).
0.69/0.55	thf(decl_161, type, setminusER: $o).
0.69/0.55	thf(decl_162, type, setminusSubset2: $o).
0.69/0.55	thf(decl_163, type, setminusERneg: $o).
0.69/0.55	thf(decl_164, type, setminusELneg: $o).
0.69/0.55	thf(decl_165, type, setminusILneg: $o).
0.69/0.55	thf(decl_166, type, setminusIRneg: $o).
0.69/0.55	thf(decl_167, type, setminusLsub: $o).
0.69/0.55	thf(decl_168, type, setminusSubset1: $o).
0.69/0.55	thf(decl_169, type, symdiff: $i > $i > $i).
0.69/0.55	thf(decl_170, type, symdiffE: $o).
0.69/0.55	thf(decl_171, type, symdiffI1: $o).
0.69/0.55	thf(decl_172, type, symdiffI2: $o).
0.69/0.55	thf(decl_173, type, symdiffIneg1: $o).
0.69/0.55	thf(decl_174, type, symdiffIneg2: $o).
0.69/0.55	thf(decl_175, type, iskpair: $i > $o).
0.69/0.55	thf(decl_176, type, secondinupair: $o).
0.69/0.55	thf(decl_177, type, setukpairIL: $o).
0.69/0.55	thf(decl_178, type, setukpairIR: $o).
0.69/0.55	thf(decl_179, type, kpairiskpair: $o).
0.69/0.55	thf(decl_180, type, kpair: $i > $i > $i).
0.69/0.55	thf(decl_181, type, kpairp: $o).
0.69/0.55	thf(decl_182, type, cartprod: $i > $i > $i).
0.69/0.55	thf(decl_183, type, singletonsubset: $o).
0.69/0.55	thf(decl_184, type, singletoninpowerset: $o).
0.69/0.55	thf(decl_185, type, singletoninpowunion: $o).
0.69/0.55	thf(decl_186, type, upairset2E: $o).
0.69/0.55	thf(decl_187, type, upairsubunion: $o).
0.69/0.55	thf(decl_188, type, upairinpowunion: $o).
0.69/0.55	thf(decl_189, type, ubforcartprodlem1: $o).
0.69/0.55	thf(decl_190, type, ubforcartprodlem2: $o).
0.69/0.55	thf(decl_191, type, ubforcartprodlem3: $o).
0.69/0.55	thf(decl_192, type, cartprodpairin: $o).
0.69/0.55	thf(decl_193, type, cartprodmempair1: $o).
0.69/0.55	thf(decl_194, type, cartprodmempair: $o).
0.69/0.55	thf(decl_195, type, setunionE2: $o).
0.69/0.55	thf(decl_196, type, setunionsingleton1: $o).
0.69/0.55	thf(decl_197, type, setunionsingleton2: $o).
0.69/0.55	thf(decl_198, type, setunionsingleton: $o).
0.69/0.55	thf(decl_199, type, singleton: $i > $o).
0.69/0.55	thf(decl_200, type, singletonprop: $o).
0.69/0.55	thf(decl_201, type, ex1: $i > ($i > $o) > $o).
0.69/0.55	thf(decl_202, type, ex1E1: $o).
0.69/0.55	thf(decl_203, type, ex1I: $o).
0.69/0.55	thf(decl_204, type, ex1I2: $o).
0.69/0.55	thf(decl_205, type, singletonsuniq: $o).
0.69/0.55	thf(decl_210, type, setukpairinjL1: $o).
0.69/0.55	thf(decl_211, type, kfstsingleton: $o).
0.69/0.55	thf(decl_212, type, theprop: $o).
0.69/0.55	thf(decl_213, type, kfst: $i > $i).
0.69/0.55	thf(decl_214, type, kfstpairEq: $o).
0.69/0.55	thf(decl_215, type, cartprodfstin: $o).
0.69/0.55	thf(decl_216, type, setukpairinjL2: $o).
0.69/0.55	thf(decl_217, type, setukpairinjL: $o).
0.69/0.55	thf(decl_218, type, setukpairinjR11: $o).
0.69/0.55	thf(decl_219, type, setukpairinjR12: $o).
0.69/0.55	thf(decl_220, type, setukpairinjR1: $o).
0.69/0.55	thf(decl_221, type, epred1_0: $o).
0.69/0.55	thf(decl_222, type, esk1_2: $i > $i > $i).
0.69/0.55	thf(decl_223, type, esk2_2: $i > $i > $i).
0.69/0.55	thf(decl_224, type, esk3_2: $i > $i > $i).
0.69/0.55	thf(decl_225, type, esk4_1: $i > $i).
0.69/0.55	thf(decl_226, type, esk5_2: ($i > $i > $o) > $i > $i).
0.69/0.55	thf(decl_227, type, esk6_2: ($i > $i > $o) > $i > $i).
0.69/0.55	thf(decl_228, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
0.69/0.55	thf(decl_229, type, esk8_1: $i > $i).
0.69/0.55	thf(decl_230, type, esk9_1: ($i > $o) > $i).
0.69/0.55	thf(decl_231, type, esk10_1: ($i > $o) > $i).
0.69/0.55	thf(decl_232, type, esk11_2: $i > $i > $i).
0.69/0.55	thf(decl_233, type, esk12_2: $i > $i > $i).
0.69/0.55	thf(decl_234, type, esk13_1: $i > $i).
0.69/0.55	thf(decl_235, type, esk14_1: $i > $i).
0.69/0.55	thf(decl_236, type, esk15_1: $i > $i).
0.69/0.55	thf(decl_237, type, esk16_2: $i > $i > $i).
0.69/0.55	thf(decl_238, type, esk17_3: $i > $i > $o > $i).
0.69/0.55	thf(decl_239, type, esk18_1: ($i > $o) > $i).
0.69/0.55	thf(decl_240, type, esk19_1: $i > $i).
0.69/0.55	thf(decl_241, type, esk20_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_242, type, esk21_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_243, type, esk22_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_244, type, esk23_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_245, type, esk24_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_246, type, esk25_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_247, type, esk26_2: ($i > $o) > $i > $i).
0.69/0.55	thf(decl_248, type, esk27_1: ($i > $o) > $i).
0.69/0.55	thf(decl_249, type, esk28_1: ($i > $o) > $i).
0.69/0.55	thf(decl_250, type, esk29_2: ($i > $o) > $i > $i).
0.69/0.55	thf(decl_251, type, esk30_2: ($i > $o) > ($i > $o) > $i).
0.69/0.55	thf(decl_252, type, esk31_2: ($i > $o) > ($i > $o) > $i).
0.69/0.55	thf(decl_253, type, esk32_2: ($i > $o) > ($i > $o) > $i).
0.69/0.55	thf(decl_254, type, esk33_2: ($i > $o) > ($i > $o) > $i).
0.69/0.55	thf(decl_255, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.69/0.55	thf(decl_256, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.69/0.55	thf(decl_257, type, esk36_2: $i > $i > $i).
0.69/0.55	thf(decl_258, type, esk37_2: $i > $i > $i).
0.69/0.55	thf(decl_259, type, esk38_2: $i > $i > $i).
0.69/0.55	thf(decl_260, type, esk39_3: $i > $i > $i > $i).
0.69/0.55	thf(decl_261, type, esk40_3: $i > $i > $i > $i).
0.69/0.55	thf(decl_262, type, esk41_2: $i > $i > $i).
0.69/0.55	thf(decl_263, type, esk42_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_264, type, esk43_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_265, type, esk44_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_266, type, esk45_3: $i > ($i > $o) > $i > $i).
0.69/0.55	thf(decl_267, type, esk46_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_268, type, esk47_2: $i > ($i > $o) > $i).
0.69/0.55	thf(decl_269, type, esk48_0: $i).
0.69/0.55	thf(decl_270, type, esk49_0: $i).
0.69/0.55	thf(decl_271, type, esk50_0: $i).
0.69/0.55	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', exuEu)).
0.69/0.55	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', exu__Cong)).
0.69/0.55	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', descr__Cong)).
0.69/0.55	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', exuI2)).
0.69/0.55	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', exuI3)).
0.69/0.55	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', dsetconstr__Cong)).
0.69/0.55	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', exuI1)).
0.69/0.55	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.jCVY7KWTs4/E---3.1_2297.p', exuE2)).
0.69/0.55	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setoftrueEq)).
0.69/0.55	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setbeta)).
0.69/0.55	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', sepInPowerset)).
0.69/0.55	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', dsetconstrER)).
0.69/0.55	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', dsetconstrEL)).
0.69/0.55	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', sepSubset)).
0.69/0.55	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', dsetconstrI)).
0.69/0.55	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', descrp)).
0.69/0.55	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', replAx)).
0.69/0.55	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', exuE3u)).
0.69/0.55	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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', singletonprop)).
0.69/0.55	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', ex1E1)).
0.69/0.55	thf(ex1I, axiom, ((ex1I)<=>![X4:$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.jCVY7KWTs4/E---3.1_2297.p', ex1I)).
0.69/0.55	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.jCVY7KWTs4/E---3.1_2297.p', kfstsingleton)).
0.69/0.55	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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', ex1I2)).
0.69/0.55	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.jCVY7KWTs4/E---3.1_2297.p', emptyE1)).
0.69/0.55	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', nonemptyI)).
0.69/0.55	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', exuE3e)).
0.69/0.55	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', exuE1)).
0.69/0.55	thf(upairequniteq, conjecture, ((setextAx)=>((emptysetAx)=>((((setunionAx)=>(((omegaSAx)=>((((foundationAx)=>((wellorderingAx)=>((((((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>(((exuE3e)=>((((noeltsimpempty)=>(((nonemptyE1)=>((nonemptyI)=>(((setadjoinIL)=>(((((((((emptyInPowerset)=>(((setunionI)=>((setunionE)=>(((((uniqinunit)=>((((singletonsswitch)=>(((upairsetIL)=>(((emptyE1)=>(((((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>(((exuI1)=>((((inCongP)=>(((exuE3u)=>((((setadjoin__Cong)=>(((((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((((((((((subsetRefl)=>((((setadjoinSub2)=>((((subsetemptysetimpeq)=>((powersetI1)=>((((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>(((binunionIR)=>((binunionEcases)=>(((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>(((binintersectSubset4)=>((binintersectSubset1)=>(((setminusI)=>(((setminusER)=>(((setminusERneg)=>(((setminusILneg)=>(((((((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>(((kpairiskpair)=>((kpairp)=>((((singletoninpowunion)=>((upairset2E)=>(((upairinpowunion)=>((ubforcartprodlem1)=>((((cartprodpairin)=>(((((((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((((((((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>(((setukpairinjR1)=>![X2:$i, X3:$i, X14:$i]:((((X2)=(X3))<=((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset)))))<=(setukpairinjR12))))))<=(kfstpairEq))<=(theprop))<=(kfstsingleton))<=(setukpairinjL1))<=(singletonsuniq))<=(ex1I2))))))<=(setunionsingleton2))<=(setunionsingleton1))<=(setunionE2))<=(cartprodmempair))<=(cartprodmempair1)))<=(ubforcartprodlem3))<=(ubforcartprodlem2))))<=(upairsubunion))))<=(singletoninpowerset))<=(singletonsubset))))<=(setukpairIR)))))))<=(symdiffI1))<=(symdiffE))<=(setminusSubset1))<=(setminusLsub))<=(setminusIRneg)))<=(setminusELneg)))<=(setminusSubset2)))<=(setminusEL)))<=(bs114d))))<=(binintersectRsub)))))))<=(binintersectEL))<=(binintersectSubset5)))))<=(binunionE))))<=(upairset2IR))))))<=(inPowerset))<=(powersetE1))))<=(setextsub))<=(subset2powerset)))<=(setadjoinSub))<=(subsetTrans)))<=(notequalI2))<=(notequalI1))<=(notsubsetI))<=(subsetE2))<=(subsetE))<=(emptysetsubset))<=(subsetI2))<=(eqimpsubset1)))))))<=(omega__Cong))<=(setunion__Cong))<=(powerset__Cong)))<=(emptyset__Cong))<=(exu__Cong)))<=(in__Cong)))<=(exuI2))<=(exuI3)))<=(notdallE)))))))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall)))<=(upairsetIR)))<=(upairsetE)))<=(eqinunit))<=(notinsingleton)))<=(nonemptyImpWitness))<=(exuE2))<=(subPowSU))))<=(powersetE)))<=(emptyinPowerset))<=(powersetI))<=(setoftrueEq))<=(setadjoinOr))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty)))<=(nonemptyI1))))<=(setbeta)))<=(emptyI))<=(setext)))<=(notinemptyset))))))<=(dsetconstrER))<=(dsetconstrEL))<=(dsetconstrI))<=(descrp))))<=(replAx))<=(omegaIndAx)))<=(omega0Ax)))<=(powersetAx))<=(setadjoinAx)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', upairequniteq)).
0.69/0.55	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', subsetemptysetimpeq)).
0.69/0.55	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setadjoinAx)).
0.69/0.55	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', powerset__Cong)).
0.69/0.55	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', emptyset__Cong)).
0.69/0.55	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', in__Cong)).
0.69/0.55	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', notdallE)).
0.69/0.55	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', quantDeMorgan2)).
0.69/0.55	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', quantDeMorgan1)).
0.69/0.55	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', subsetI1)).
0.69/0.55	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', vacuousDall)).
0.69/0.55	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', upairsetIR)).
0.69/0.55	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', upairsetE)).
0.69/0.55	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', eqimpsubset2)).
0.69/0.55	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', eqinunit)).
0.69/0.55	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', notinsingleton)).
0.69/0.55	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', subsetRefl)).
0.69/0.55	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', nonemptyImpWitness)).
0.69/0.55	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', subPowSU)).
0.69/0.55	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', powersetE)).
0.69/0.55	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setadjoinSub2)).
0.69/0.55	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', emptyinPowerset)).
0.69/0.55	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', powersetI)).
0.69/0.55	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', disjointsetsI1)).
0.69/0.55	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setadjoinOr)).
0.69/0.55	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setadjoinE)).
0.69/0.55	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setadjoinIR)).
0.69/0.55	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', powersetI1)).
0.69/0.55	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', emptyinunitempty)).
0.69/0.55	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', nonemptyI1)).
0.69/0.55	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.jCVY7KWTs4/E---3.1_2297.p', inCongP)).
0.69/0.55	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', powersetsubset)).
0.69/0.55	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', emptyI)).
0.69/0.55	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.jCVY7KWTs4/E---3.1_2297.p', setext)).
0.69/0.55	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', notinemptyset)).
0.69/0.55	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binunionIL)).
0.69/0.55	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', omegaIndAx)).
0.69/0.55	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', omega0Ax)).
0.69/0.55	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binunionIR)).
0.69/0.55	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', powersetAx)).
0.69/0.55	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binunionEcases)).
0.69/0.55	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binunionLsub)).
0.69/0.55	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binunionRsub)).
0.69/0.55	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binintersectI)).
0.69/0.55	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binintersectLsub)).
0.69/0.55	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binintersectSubset2)).
0.69/0.55	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binintersectSubset3)).
0.69/0.55	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binintersectER)).
0.69/0.55	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$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.jCVY7KWTs4/E---3.1_2297.p', setukpairinjL1)).
0.69/0.55	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', singletonsuniq)).
0.69/0.55	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binintersectSubset4)).
0.69/0.55	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binintersectSubset1)).
0.69/0.55	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setminusI)).
0.69/0.55	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setminusER)).
0.69/0.55	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setminusERneg)).
0.69/0.55	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setminusILneg)).
0.69/0.55	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', symdiffI2)).
0.69/0.55	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', symdiffIneg1)).
0.69/0.55	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', symdiffIneg2)).
0.69/0.55	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', secondinupair)).
0.69/0.55	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setadjoin__Cong)).
0.69/0.55	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setukpairIL)).
0.69/0.55	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', kpairiskpair)).
0.69/0.55	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', kpairp)).
0.69/0.55	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', singletoninpowunion)).
0.69/0.55	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', upairset2E)).
0.69/0.55	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', upairinpowunion)).
0.69/0.55	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', ubforcartprodlem1)).
0.69/0.55	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', cartprodpairin)).
0.69/0.55	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setunionsingleton)).
0.69/0.55	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', cartprodfstin)).
0.69/0.55	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setukpairinjL2)).
0.69/0.55	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setukpairinjL)).
0.69/0.55	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setukpairinjR11)).
0.69/0.55	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setukpairinjR1)).
0.69/0.55	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setukpairinjR12)).
0.69/0.55	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', kfstpairEq)).
0.69/0.55	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', theprop)).
0.69/0.55	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setunionsingleton2)).
0.69/0.55	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setunionsingleton1)).
0.69/0.55	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setunionE2)).
0.69/0.55	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', cartprodmempair)).
0.69/0.55	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', cartprodmempair1)).
0.69/0.55	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', ubforcartprodlem3)).
0.69/0.55	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', ubforcartprodlem2)).
0.69/0.55	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', upairsubunion)).
0.69/0.55	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', singletoninpowerset)).
0.69/0.55	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', singletonsubset)).
0.69/0.55	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setukpairIR)).
0.69/0.55	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', symdiffI1)).
0.69/0.55	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.jCVY7KWTs4/E---3.1_2297.p', symdiffE)).
0.69/0.55	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setminusSubset1)).
0.69/0.55	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setminusLsub)).
0.69/0.55	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setminusIRneg)).
0.69/0.55	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setminusELneg)).
0.69/0.55	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setminusSubset2)).
0.69/0.55	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setminusEL)).
0.69/0.55	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', bs114d)).
0.69/0.55	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binintersectRsub)).
0.69/0.55	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binintersectEL)).
0.69/0.55	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binintersectSubset5)).
0.69/0.55	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', binunionE)).
0.69/0.55	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', upairset2IR)).
0.69/0.55	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', inPowerset)).
0.69/0.55	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', powersetE1)).
0.69/0.55	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setextsub)).
0.69/0.55	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', subset2powerset)).
0.69/0.55	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setadjoinSub)).
0.69/0.55	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', subsetTrans)).
0.69/0.55	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', notequalI2)).
0.69/0.55	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', notequalI1)).
0.69/0.55	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', notsubsetI)).
0.69/0.55	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', subsetE2)).
0.69/0.55	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', subsetE)).
0.69/0.55	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', emptysetsubset)).
0.69/0.55	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', subsetI2)).
0.69/0.55	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', eqimpsubset1)).
0.69/0.55	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', omega__Cong)).
0.69/0.55	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setunion__Cong)).
0.69/0.55	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', notdexE)).
0.69/0.55	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', prop2setI)).
0.69/0.55	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', quantDeMorgan4)).
0.69/0.55	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', quantDeMorgan3)).
0.69/0.55	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', upairsetIL)).
0.69/0.55	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', singletonsswitch)).
0.69/0.55	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', uniqinunit)).
0.69/0.55	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setunionE)).
0.69/0.55	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setunionI)).
0.69/0.55	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', emptyInPowerset)).
0.69/0.55	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setadjoinIL)).
0.69/0.55	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', nonemptyE1)).
0.69/0.55	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', noeltsimpempty)).
0.69/0.55	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', emptysetimpfalse)).
0.69/0.55	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', emptysetE)).
0.69/0.55	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', prop2setE)).
0.69/0.55	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.jCVY7KWTs4/E---3.1_2297.p', wellorderingAx)).
0.69/0.55	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.jCVY7KWTs4/E---3.1_2297.p', foundationAx)).
0.69/0.55	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', omegaSAx)).
0.69/0.55	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setunionAx)).
0.69/0.55	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', emptysetAx)).
0.69/0.55	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.jCVY7KWTs4/E---3.1_2297.p', setextAx)).
0.69/0.55	thf(c_0_168, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.69/0.55	thf(c_0_169, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.69/0.55	thf(c_0_170, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.69/0.55	thf(c_0_171, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.69/0.55	thf(c_0_172, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.69/0.55	thf(c_0_173, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.69/0.55	thf(c_0_174, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.69/0.55	thf(c_0_175, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.69/0.55	thf(c_0_176, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.69/0.55	thf(c_0_177, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.69/0.55	thf(c_0_178, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.69/0.55	thf(c_0_179, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.69/0.55	thf(c_0_180, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.69/0.55	thf(c_0_181, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.69/0.55	thf(c_0_182, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.69/0.55	thf(c_0_183, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.69/0.55	thf(c_0_184, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.69/0.55	thf(c_0_185, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.69/0.55	thf(c_0_186, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
0.69/0.55	thf(c_0_187, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
0.69/0.55	thf(c_0_188, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
0.69/0.55	thf(c_0_189, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
0.69/0.55	thf(c_0_190, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
0.69/0.55	thf(c_0_191, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
0.69/0.55	thf(c_0_192, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.69/0.55	thf(c_0_193, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.69/0.55	thf(c_0_194, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.69/0.55	thf(c_0_195, plain, ((epred1_0)<=>![X493:$i]:(?[X494:$i]:((((![X495:$i]:(((in @ X495 @ X494)=>![X496:$i]:(((in @ X496 @ X495)=>(in @ X496 @ X493)))))&![X497:$i, X498:$i]:((((in @ X497 @ X493)&(in @ X498 @ X493))=>(![X499:$i]:(((in @ X499 @ X494)=>((in @ X497 @ X499)<=>(in @ X498 @ X499))))=>((X497)=(X498))))))&![X500:$i, X501:$i]:((((in @ X500 @ X494)&(in @ X501 @ X494))=>(![X502:$i]:(((in @ X502 @ X500)=>(in @ X502 @ X501)))|![X503:$i]:(((in @ X503 @ X501)=>(in @ X503 @ X500)))))))&![X504:$i]:(((![X505:$i]:(((in @ X505 @ X504)=>(in @ X505 @ X493)))&?[X506:$i]:((in @ X506 @ X504)))=>?[X507:$i, X508:$i]:(((((in @ X507 @ X494)&(in @ X508 @ X504))&~(?[X509:$i]:(((in @ X509 @ X507)&(in @ X509 @ X504)))))&![X510:$i]:(((in @ X510 @ X494)=>(![X511:$i]:(((in @ X511 @ X510)=>(in @ X511 @ X507)))|(in @ X508 @ X510)))))))))))), introduced(definition)).
0.69/0.55	thf(c_0_196, negated_conjecture, ~((![X481:$i, X482:$i]:((![X483:$i]:(((in @ X483 @ X481)<=>(in @ X483 @ X482)))=>((X481)=(X482))))=>(![X484:$i]:(~(in @ X484 @ emptyset))=>(![X934:$i, X935:$i, X936:$i]:(((in @ X936 @ (setadjoin @ X934 @ X935))<=>(((X936)=(X934))|(in @ X936 @ X935))))=>(![X931:$i, X932:$i]:(((in @ X932 @ (powerset @ X931))<=>![X933:$i]:(((in @ X933 @ X932)=>(in @ X933 @ X931)))))=>(![X485:$i, X486:$i]:(((in @ X486 @ (setunion @ X485))<=>?[X487:$i]:(((in @ X486 @ X487)&(in @ X487 @ X485)))))=>((in @ emptyset @ omega)=>(![X488:$i]:(((in @ X488 @ omega)=>(in @ (setadjoin @ X488 @ X488) @ omega)))=>(![X928:$i]:((((in @ emptyset @ X928)&![X929:$i]:((((in @ X929 @ omega)&(in @ X929 @ X928))=>(in @ (setadjoin @ X929 @ X929) @ X928))))=>![X930:$i]:(((in @ X930 @ omega)=>(in @ X930 @ X928)))))=>(![X922:$i > $i > $o, X923:$i]:((![X924:$i]:(((in @ X924 @ X923)=>(exu @ (X922 @ X924))))=>?[X925:$i]:(![X926:$i]:(((in @ X926 @ X925)<=>?[X927:$i]:(((in @ X927 @ X923)&(X922 @ X927 @ X926))))))))=>(![X489:$i]:((?[X490:$i]:((in @ X490 @ X489))=>?[X491:$i]:(((in @ X491 @ X489)&~(?[X492:$i]:(((in @ X492 @ X491)&(in @ X492 @ X489))))))))=>((epred1_0)=>(![X921:$i > $o]:(((exu @ X921)=>(X921 @ (descr @ (^[Z0/* 17 */:$i]:(X921 @ Z0))))))=>(![X918:$i, X919:$i > $o, X920:$i]:(((in @ X920 @ X918)=>((X919 @ X920)=>(in @ X920 @ (dsetconstr @ X918 @ X919)))))=>(![X915:$i, X916:$i > $o, X917:$i]:(((in @ X917 @ (dsetconstr @ X915 @ X916))=>(in @ X917 @ X915)))=>(![X912:$i, X913:$i > $o, X914:$i]:(((in @ X914 @ (dsetconstr @ X912 @ X913))=>(X913 @ X914)))=>(![X512:$i > $o]:(((exu @ X512)=>?[X513:$i]:(((X512 @ X513)&![X514:$i]:(((X512 @ X514)=>((X513)=(X514))))))))=>(![X515:$o, X516:$i]:(((in @ X516 @ (prop2set @ ((X515))))=>(X515)))=>(![X517:$i]:(((in @ X517 @ emptyset)=>![X518:$o]:((X518))))=>(![X519:$i]:(((in @ X519 @ emptyset)=>~($true)))=>(![X911:$i]:(~(in @ X911 @ emptyset))=>(![X520:$i > $o]:(((exu @ X520)=>?[X521:$i]:((X520 @ X521))))=>(![X907:$i, X908:$i]:((![X909:$i]:(((in @ X909 @ X907)=>(in @ X909 @ X908)))=>(![X910:$i]:(((in @ X910 @ X908)=>(in @ X910 @ X907)))=>((X907)=(X908)))))=>(![X905:$i]:((![X906:$i]:(~(in @ X906 @ X905))=>((X905)=(emptyset))))=>(![X522:$i]:((![X523:$i]:(~(in @ X523 @ X522))=>((X522)=(emptyset))))=>(![X902:$i, X903:$i > $o, X904:$i]:(((in @ X904 @ X902)=>((in @ X904 @ (dsetconstr @ X902 @ X903))<=>(X903 @ X904))))=>(![X524:$i]:(((nonempty @ X524)=>?[X525:$i]:((in @ X525 @ X524))))=>(![X526:$i, X527:$i > $o, X528:$i]:(((in @ X528 @ X526)=>((X527 @ X528)=>(nonempty @ (dsetconstr @ X526 @ X527)))))=>(![X900:$i]:((?[X901:$i]:((in @ X901 @ X900))=>(nonempty @ X900)))=>(![X529:$i, X530:$i]:((in @ X529 @ (setadjoin @ X529 @ X530)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X897:$i, X898:$i, X899:$i]:(((in @ X899 @ X898)=>(in @ X899 @ (setadjoin @ X897 @ X898))))=>(![X893:$i, X894:$i, X895:$i]:(((in @ X895 @ (setadjoin @ X893 @ X894))=>![X896:$o]:(((((X895)=(X893))=>(X896))=>(((in @ X895 @ X894)=>(X896))=>(X896))))))=>(![X890:$i, X891:$i, X892:$i]:(((in @ X892 @ (setadjoin @ X890 @ X891))=>(((X892)=(X890))|(in @ X892 @ X891))))=>(![X889:$i]:(((dsetconstr @ X889 @ (^[Z0/* 1 */:$i]:($true)))=(X889)))=>(![X886:$i, X887:$i]:((![X888:$i]:(((in @ X888 @ X887)=>(in @ X888 @ X886)))=>(in @ X887 @ (powerset @ X886))))=>(![X885:$i]:((in @ emptyset @ (powerset @ X885)))=>(![X531:$i]:((in @ emptyset @ (powerset @ X531)))=>(![X882:$i, X883:$i, X884:$i]:(((in @ X883 @ (powerset @ X882))=>((in @ X884 @ X883)=>(in @ X884 @ X882))))=>(![X532:$i, X533:$i, X534:$i]:(((in @ X533 @ X534)=>((in @ X534 @ X532)=>(in @ X533 @ (setunion @ X532)))))=>(![X535:$i, X536:$i]:(((in @ X536 @ (setunion @ X535))=>![X537:$o]:((![X538:$i]:(((in @ X536 @ X538)=>((in @ X538 @ X535)=>(X537))))=>(X537)))))=>(![X880:$i, X881:$i]:(((in @ X881 @ X880)=>(in @ X881 @ (powerset @ (setunion @ X880)))))=>(![X877:$i > $o]:(((exu @ X877)=>?[X878:$i]:(![X879:$i]:(((X877 @ X879)<=>((X879)=(X878)))))))=>(![X875:$i]:(((nonempty @ X875)=>?[X876:$i]:(((in @ X876 @ X875)&$true))))=>(![X539:$i, X540:$i]:(((in @ X539 @ (setadjoin @ X540 @ emptyset))=>((X539)=(X540))))=>(![X873:$i, X874:$i]:((((X873)!=(X874))=>~(in @ X874 @ (setadjoin @ X873 @ emptyset))))=>(![X871:$i, X872:$i]:((((X871)=(X872))=>(in @ X871 @ (setadjoin @ X872 @ emptyset))))=>(![X541:$i, X542:$i]:(((in @ X541 @ (setadjoin @ X542 @ emptyset))=>(in @ X542 @ (setadjoin @ X541 @ emptyset))))=>(![X868:$i, X869:$i, X870:$i]:(((in @ X870 @ (setadjoin @ X868 @ (setadjoin @ X869 @ emptyset)))=>(((X870)=(X868))|((X870)=(X869)))))=>(![X543:$i, X544:$i]:((in @ X543 @ (setadjoin @ X543 @ (setadjoin @ X544 @ emptyset))))=>(![X866:$i, X867:$i]:((in @ X867 @ (setadjoin @ X866 @ (setadjoin @ X867 @ emptyset))))=>(![X545:$i, X546:$i > $o]:((?[X547:$i]:(((in @ X547 @ X545)&(X546 @ X547)))=>(((dsetconstr @ X545 @ X546)=(emptyset))=>~($true))))=>(![X864:$i > $o, X865:$i]:(((in @ X865 @ emptyset)=>(X864 @ X865)))=>(![X860:$i, X861:$i > $o]:((~(![X862:$i]:(((in @ X862 @ X860)=>(X861 @ X862))))=>?[X863:$i]:(((in @ X863 @ X860)&~((X861 @ X863))))))=>(![X856:$i, X857:$i > $o]:((![X858:$i]:(((in @ X858 @ X856)=>~((X857 @ X858))))=>~(?[X859:$i]:(((in @ X859 @ X856)&(X857 @ X859))))))=>(![X548:$i, X549:$i > $o]:((~(?[X550:$i]:(((in @ X550 @ X548)&(X549 @ X550))))=>![X551:$i]:(((in @ X551 @ X548)=>~((X549 @ X551))))))=>(![X552:$i, X553:$i > $o]:((?[X554:$i]:(((in @ X554 @ X552)&~((X553 @ X554))))=>~(![X555:$i]:(((in @ X555 @ X552)=>(X553 @ X555))))))=>(![X556:$o]:(((X556)=>(in @ emptyset @ (prop2set @ ((X556))))))=>((prop2set2propI)=>(![X557:$i, X558:$i > $o]:((~(?[X559:$i]:(((in @ X559 @ X557)&(X558 @ X559))))=>![X560:$i]:(((in @ X560 @ X557)=>~((X558 @ X560))))))=>(![X852:$i, X853:$i > $o]:((~(![X854:$i]:(((in @ X854 @ X852)=>(X853 @ X854))))=>?[X855:$i]:(((in @ X855 @ X852)&~((X853 @ X855))))))=>(![X561:$i > $o]:((?[X562:$i]:(((X561 @ X562)&![X563:$i]:(((X561 @ X563)=>((X562)=(X563))))))=>(exu @ X561)))=>(![X848:$i > $o]:((?[X849:$i]:((X848 @ X849))=>(![X850:$i, X851:$i]:(((X848 @ X850)=>((X848 @ X851)=>((X850)=(X851)))))=>(exu @ X848))))=>(![X845:$i > $o]:((?[X846:$i]:(![X847:$i]:(((X845 @ X847)<=>((X847)=(X846)))))=>(exu @ X845)))=>(![X564:$i, X565:$i]:((((X564)=(X565))=>![X566:$i, X567:$i]:((((X566)=(X567))=>((in @ X566 @ X564)=>(in @ X567 @ X565))))))=>(![X841:$i, X842:$i]:((((X841)=(X842))=>![X843:$i, X844:$i]:((((X843)=(X844))=>((in @ X843 @ X841)<=>(in @ X844 @ X842))))))=>(![X568:$i > $o]:(((exu @ X568)=>![X569:$i, X570:$i]:(((X568 @ X569)=>((X568 @ X570)=>((X569)=(X570)))))))=>(![X837:$i > $o, X838:$i > $o]:((![X839:$i, X840:$i]:((((X839)=(X840))=>((X837 @ X839)<=>(X838 @ X840))))=>((exu @ X837)<=>(exu @ X838))))=>(((emptyset)=(emptyset))=>(![X571:$i, X572:$i]:((((X571)=(X572))=>![X573:$i, X574:$i]:((((X573)=(X574))=>((setadjoin @ X571 @ X573)=(setadjoin @ X572 @ X574))))))=>(![X835:$i, X836:$i]:((((X835)=(X836))=>((powerset @ X835)=(powerset @ X836))))=>(![X833:$i, X834:$i]:((((X833)=(X834))=>((setunion @ X833)=(setunion @ X834))))=>(((omega)=(omega))=>(![X575:$i > $o]:(((exu @ X575)=>![X576:$i, X577:$i]:(((X575 @ X576)=>((X575 @ X577)=>((X576)=(X577)))))))=>(![X578:$i > $o, X579:$i > $o]:((![X580:$i, X581:$i]:((((X580)=(X581))=>((X578 @ X580)<=>(X579 @ X581))))=>((exu @ X578)=>((exu @ X579)=>((descr @ X578)=(descr @ X579))))))=>(![X582:$i, X583:$i]:((((X582)=(X583))=>![X584:$i > $o, X585:$i > $o]:((![X586:$i]:(((in @ X586 @ X582)=>![X587:$i]:(((in @ X587 @ X583)=>(((X586)=(X587))=>((X584 @ X586)<=>(X585 @ X587)))))))=>((dsetconstr @ X582 @ X584)=(dsetconstr @ X583 @ X585))))))=>(![X588:$i, X589:$i]:((![X590:$i]:(((in @ X590 @ X588)=>(in @ X590 @ X589)))=>(subset @ X588 @ X589)))=>(![X591:$i, X592:$i]:((((X591)=(X592))=>(subset @ X592 @ X591)))=>(![X831:$i, X832:$i]:((((X831)=(X832))=>(subset @ X831 @ X832)))=>(![X828:$i, X829:$i]:((![X830:$i]:(((in @ X830 @ X828)=>(in @ X830 @ X829)))=>(subset @ X828 @ X829)))=>(![X827:$i]:((subset @ emptyset @ X827))=>(![X824:$i, X825:$i, X826:$i]:(((subset @ X824 @ X825)=>((in @ X826 @ X824)=>(in @ X826 @ X825))))=>(![X821:$i, X822:$i, X823:$i]:(((subset @ X821 @ X822)=>(~(in @ X823 @ X822)=>~(in @ X823 @ X821))))=>(![X818:$i, X819:$i, X820:$i]:(((in @ X820 @ X818)=>(~(in @ X820 @ X819)=>~(subset @ X818 @ X819))))=>(![X816:$i, X817:$i]:((~(subset @ X816 @ X817)=>((X816)!=(X817))))=>(![X813:$i, X814:$i, X815:$i]:(((in @ X815 @ X813)=>(~(in @ X815 @ X814)=>((X813)!=(X814)))))=>(![X593:$i]:((subset @ X593 @ X593))=>(![X810:$i, X811:$i, X812:$i]:(((subset @ X810 @ X811)=>((subset @ X811 @ X812)=>(subset @ X810 @ X812))))=>(![X808:$i, X809:$i]:((subset @ X809 @ (setadjoin @ X808 @ X809)))=>(![X594:$i, X595:$i, X596:$i]:(((subset @ X594 @ X596)=>(subset @ X594 @ (setadjoin @ X595 @ X596))))=>(![X806:$i, X807:$i]:(((subset @ X806 @ X807)=>(in @ X806 @ (powerset @ X807))))=>(![X804:$i, X805:$i]:(((subset @ X804 @ X805)=>((subset @ X805 @ X804)=>((X804)=(X805)))))=>(![X597:$i]:(((subset @ X597 @ emptyset)=>((X597)=(emptyset))))=>(![X598:$i, X599:$i]:(((subset @ X599 @ X598)=>(in @ X599 @ (powerset @ X598))))=>(![X802:$i, X803:$i]:(((in @ X803 @ (powerset @ X802))=>(subset @ X803 @ X802)))=>(![X801:$i]:((in @ X801 @ (powerset @ X801)))=>(![X600:$i, X601:$i]:(((subset @ X600 @ X601)=>(subset @ (powerset @ X600) @ (powerset @ X601))))=>(![X602:$i, X603:$i > $o]:((in @ (dsetconstr @ X602 @ X603) @ (powerset @ X602)))=>(![X604:$i, X605:$i > $o]:((subset @ (dsetconstr @ X604 @ X605) @ X604))=>(![X606:$i, X607:$i, X608:$i]:(((in @ X608 @ X606)=>(in @ X608 @ (binunion @ X606 @ X607))))=>(![X799:$i, X800:$i]:((in @ X800 @ (setadjoin @ X799 @ (setadjoin @ X800 @ emptyset))))=>(![X609:$i, X610:$i, X611:$i]:(((in @ X611 @ X610)=>(in @ X611 @ (binunion @ X609 @ X610))))=>(![X612:$i, X613:$i, X614:$i, X615:$o]:(((in @ X614 @ (binunion @ X612 @ X613))=>(((in @ X614 @ X612)=>(X615))=>(((in @ X614 @ X613)=>(X615))=>(X615)))))=>(![X796:$i, X797:$i, X798:$i]:(((in @ X798 @ (binunion @ X796 @ X797))=>((in @ X798 @ X796)|(in @ X798 @ X797))))=>(![X616:$i, X617:$i]:((subset @ X616 @ (binunion @ X616 @ X617)))=>(![X618:$i, X619:$i]:((subset @ X619 @ (binunion @ X618 @ X619)))=>(![X620:$i, X621:$i, X622:$i]:(((in @ X622 @ X620)=>((in @ X622 @ X621)=>(in @ X622 @ (binintersect @ X620 @ X621)))))=>(![X793:$i, X794:$i, X795:$i]:(((subset @ X795 @ X793)=>((subset @ X795 @ X794)=>(subset @ X795 @ (binintersect @ X793 @ X794)))))=>(![X790:$i, X791:$i, X792:$i]:(((in @ X792 @ (binintersect @ X790 @ X791))=>(in @ X792 @ X790)))=>(![X623:$i, X624:$i]:((subset @ (binintersect @ X623 @ X624) @ X623))=>(![X625:$i, X626:$i]:(((subset @ X625 @ X626)=>((binintersect @ X625 @ X626)=(X625))))=>(![X627:$i, X628:$i]:((((binintersect @ X627 @ X628)=(X628))=>(subset @ X628 @ X627)))=>(![X629:$i, X630:$i, X631:$i]:(((in @ X631 @ (binintersect @ X629 @ X630))=>(in @ X631 @ X630)))=>(![X632:$i, X633:$i]:((~(?[X634:$i]:(((in @ X634 @ X632)&(in @ X634 @ X633))))=>((binintersect @ X632 @ X633)=(emptyset))))=>(![X788:$i, X789:$i]:((subset @ (binintersect @ X788 @ X789) @ X789))=>(![X635:$i, X636:$i]:(((subset @ X636 @ X635)=>((binintersect @ X635 @ X636)=(X636))))=>(![X637:$i, X638:$i]:((((binintersect @ X637 @ X638)=(X637))=>(subset @ X637 @ X638)))=>(![X785:$i, X786:$i, X787:$i]:(((binintersect @ X785 @ (binunion @ X786 @ X787))=(binunion @ (binintersect @ X785 @ X786) @ (binintersect @ X785 @ X787))))=>(![X639:$i, X640:$i, X641:$i]:(((in @ X641 @ X639)=>(~(in @ X641 @ X640)=>(in @ X641 @ (setminus @ X639 @ X640)))))=>(![X782:$i, X783:$i, X784:$i]:(((in @ X784 @ (setminus @ X782 @ X783))=>(in @ X784 @ X782)))=>(![X642:$i, X643:$i, X644:$i]:(((in @ X644 @ (setminus @ X642 @ X643))=>~(in @ X644 @ X643)))=>(![X780:$i, X781:$i]:(((subset @ X780 @ X781)=>((setminus @ X780 @ X781)=(emptyset))))=>(![X645:$i, X646:$i, X647:$i]:((~(in @ X647 @ (setminus @ X645 @ X646))=>((in @ X647 @ X645)=>(in @ X647 @ X646))))=>(![X777:$i, X778:$i, X779:$i]:((~(in @ X779 @ (setminus @ X777 @ X778))=>(~(in @ X779 @ X778)=>~(in @ X779 @ X777))))=>(![X648:$i, X649:$i, X650:$i]:((~(in @ X650 @ X648)=>~(in @ X650 @ (setminus @ X648 @ X649))))=>(![X774:$i, X775:$i, X776:$i]:(((in @ X776 @ X775)=>~(in @ X776 @ (setminus @ X774 @ X775))))=>(![X772:$i, X773:$i]:((subset @ (setminus @ X772 @ X773) @ X772))=>(![X770:$i, X771:$i]:((((setminus @ X770 @ X771)=(emptyset))=>(subset @ X770 @ X771)))=>(![X766:$i, X767:$i, X768:$i]:(((in @ X768 @ (symdiff @ X766 @ X767))=>![X769:$o]:((((in @ X768 @ X766)=>(~(in @ X768 @ X767)=>(X769)))=>((~(in @ X768 @ X766)=>((in @ X768 @ X767)=>(X769)))=>(X769))))))=>(![X763:$i, X764:$i, X765:$i]:(((in @ X765 @ X763)=>(~(in @ X765 @ X764)=>(in @ X765 @ (symdiff @ X763 @ X764)))))=>(![X651:$i, X652:$i, X653:$i]:((~(in @ X653 @ X651)=>((in @ X653 @ X652)=>(in @ X653 @ (symdiff @ X651 @ X652)))))=>(![X654:$i, X655:$i, X656:$i]:(((in @ X656 @ X654)=>((in @ X656 @ X655)=>~(in @ X656 @ (symdiff @ X654 @ X655)))))=>(![X657:$i, X658:$i, X659:$i]:((~(in @ X659 @ X657)=>(~(in @ X659 @ X658)=>~(in @ X659 @ (symdiff @ X657 @ X658)))))=>(![X660:$i, X661:$i]:((in @ X661 @ (setadjoin @ X660 @ (setadjoin @ X661 @ emptyset))))=>(![X662:$i, X663:$i]:((in @ X662 @ (setunion @ (setadjoin @ (setadjoin @ X662 @ emptyset) @ (setadjoin @ (setadjoin @ X662 @ (setadjoin @ X663 @ emptyset)) @ emptyset)))))=>(![X761:$i, X762:$i]:((in @ X762 @ (setunion @ (setadjoin @ (setadjoin @ X761 @ emptyset) @ (setadjoin @ (setadjoin @ X761 @ (setadjoin @ X762 @ emptyset)) @ emptyset)))))=>(![X664:$i, X665:$i]:((iskpair @ (setadjoin @ (setadjoin @ X664 @ emptyset) @ (setadjoin @ (setadjoin @ X664 @ (setadjoin @ X665 @ emptyset)) @ emptyset))))=>(![X666:$i, X667:$i]:((iskpair @ (kpair @ X666 @ X667)))=>(![X759:$i, X760:$i]:(((in @ X760 @ X759)=>(subset @ (setadjoin @ X760 @ emptyset) @ X759)))=>(![X757:$i, X758:$i]:(((in @ X758 @ X757)=>(in @ (setadjoin @ X758 @ emptyset) @ (powerset @ X757))))=>(![X668:$i, X669:$i, X670:$i]:(((in @ X670 @ X668)=>(in @ (setadjoin @ X670 @ emptyset) @ (powerset @ (binunion @ X668 @ X669)))))=>(![X671:$i, X672:$i, X673:$i]:(((in @ X673 @ (setadjoin @ X671 @ (setadjoin @ X672 @ emptyset)))=>(((X673)=(X671))|((X673)=(X672)))))=>(![X753:$i, X754:$i, X755:$i]:(((in @ X755 @ X753)=>![X756:$i]:(((in @ X756 @ X754)=>(subset @ (setadjoin @ X755 @ (setadjoin @ X756 @ emptyset)) @ (binunion @ X753 @ X754))))))=>(![X674:$i, X675:$i, X676:$i]:(((in @ X676 @ X674)=>![X677:$i]:(((in @ X677 @ X675)=>(in @ (setadjoin @ X676 @ (setadjoin @ X677 @ emptyset)) @ (powerset @ (binunion @ X674 @ X675)))))))=>(![X678:$i, X679:$i, X680:$i]:(((in @ X680 @ X678)=>![X681:$i]:(((in @ X681 @ X679)=>(subset @ (setadjoin @ (setadjoin @ X680 @ emptyset) @ (setadjoin @ (setadjoin @ X680 @ (setadjoin @ X681 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X678 @ X679)))))))=>(![X749:$i, X750:$i, X751:$i]:(((in @ X751 @ X749)=>![X752:$i]:(((in @ X752 @ X750)=>(in @ (setadjoin @ (setadjoin @ X751 @ emptyset) @ (setadjoin @ (setadjoin @ X751 @ (setadjoin @ X752 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X749 @ X750))))))))=>(![X745:$i, X746:$i, X747:$i]:(((in @ X747 @ X745)=>![X748:$i]:(((in @ X748 @ X746)=>(in @ (kpair @ X747 @ X748) @ (powerset @ (powerset @ (binunion @ X745 @ X746))))))))=>(![X682:$i, X683:$i, X684:$i]:(((in @ X684 @ X682)=>![X685:$i]:(((in @ X685 @ X683)=>(in @ (kpair @ X684 @ X685) @ (cartprod @ X682 @ X683))))))=>(![X740:$i, X741:$i, X742:$i]:(((in @ X742 @ (cartprod @ X740 @ X741))=>?[X743:$i]:(((in @ X743 @ X740)&?[X744:$i]:(((in @ X744 @ X741)&((X742)=(kpair @ X743 @ X744))))))))=>(![X737:$i, X738:$i, X739:$i]:(((in @ X739 @ (cartprod @ X737 @ X738))=>(iskpair @ X739)))=>(![X734:$i, X735:$i]:(((in @ X735 @ (setunion @ X734))=>?[X736:$i]:(((in @ X736 @ X734)&(in @ X735 @ X736)))))=>(![X733:$i]:((subset @ (setunion @ (setadjoin @ X733 @ emptyset)) @ X733))=>(![X732:$i]:((subset @ X732 @ (setunion @ (setadjoin @ X732 @ emptyset))))=>(![X686:$i]:(((setunion @ (setadjoin @ X686 @ emptyset))=(X686)))=>(![X687:$i, X688:$i > $o]:((![X689:$i]:(((in @ X689 @ X687)=>![X690:$i]:(((in @ X690 @ X687)=>((X688 @ X689)=>((X688 @ X690)=>((X689)=(X690))))))))=>(?[X691:$i]:(((in @ X691 @ X687)&(X688 @ X691)))=>(singleton @ (dsetconstr @ X687 @ X688)))))=>(![X692:$i, X693:$i > $o]:(((ex1 @ X692 @ X693)=>?[X694:$i]:(((in @ X694 @ X692)&(X693 @ X694)))))=>(![X695:$i, X696:$i > $o, X697:$i]:(((in @ X697 @ X695)=>((X696 @ X697)=>(![X698:$i]:(((in @ X698 @ X695)=>((X696 @ X698)=>((X698)=(X697)))))=>(ex1 @ X695 @ X696)))))=>(![X727:$i, X728:$i > $o]:((![X729:$i]:(((in @ X729 @ X727)=>![X730:$i]:(((in @ X730 @ X727)=>((X728 @ X729)=>((X728 @ X730)=>((X729)=(X730))))))))=>(?[X731:$i]:(((in @ X731 @ X727)&(X728 @ X731)))=>(ex1 @ X727 @ X728))))=>(![X725:$i, X726:$i]:((((setadjoin @ X725 @ emptyset)=(setadjoin @ X726 @ emptyset))=>((X725)=(X726))))=>(![X722:$i, X723:$i, X724:$i]:(((in @ (setadjoin @ X724 @ emptyset) @ (setadjoin @ (setadjoin @ X722 @ emptyset) @ (setadjoin @ (setadjoin @ X722 @ (setadjoin @ X723 @ emptyset)) @ emptyset)))=>((X722)=(X724))))=>(![X721:$i]:(((iskpair @ X721)=>(singleton @ (dsetconstr @ (setunion @ X721) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X721)))))))=>(![X720:$i]:(((singleton @ X720)=>(in @ (setunion @ X720) @ X720)))=>(![X718:$i, X719:$i]:(((kfst @ (kpair @ X718 @ X719))=(X718)))=>(![X699:$i, X700:$i, X701:$i]:(((in @ X701 @ (cartprod @ X699 @ X700))=>(in @ (kfst @ X701) @ X699)))=>(![X702:$i, X703:$i, X704:$i, X705:$i]:((((setadjoin @ (setadjoin @ X702 @ emptyset) @ (setadjoin @ (setadjoin @ X702 @ (setadjoin @ X703 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X704 @ emptyset) @ (setadjoin @ (setadjoin @ X704 @ (setadjoin @ X705 @ emptyset)) @ emptyset)))=>((X702)=(X704))))=>(![X706:$i, X707:$i, X708:$i, X709:$i]:((((kpair @ X706 @ X707)=(kpair @ X708 @ X709))=>((X706)=(X708))))=>(![X710:$i, X711:$i]:((((X710)=(X711))=>((setadjoin @ X710 @ (setadjoin @ X711 @ emptyset))=(setadjoin @ X710 @ emptyset))))=>(![X716:$i, X717:$i]:((((X716)=(X717))=>((setadjoin @ (setadjoin @ X716 @ emptyset) @ (setadjoin @ (setadjoin @ X716 @ (setadjoin @ X717 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X716 @ emptyset) @ emptyset))))=>(![X712:$i, X713:$i, X714:$i, X715:$i]:((((setadjoin @ (setadjoin @ X712 @ emptyset) @ (setadjoin @ (setadjoin @ X712 @ (setadjoin @ X713 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X714 @ emptyset) @ (setadjoin @ (setadjoin @ X714 @ (setadjoin @ X715 @ emptyset)) @ emptyset)))=>(((X714)=(X715))=>((X713)=(X715)))))=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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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subsetemptysetimpeq]), setadjoinAx]), powerset__Cong]), emptyset__Cong]), c_0_168]), c_0_169]), in__Cong]), c_0_170]), c_0_171]), c_0_172]), notdallE]), c_0_173]), quantDeMorgan2]), quantDeMorgan1]), subsetI1]), vacuousDall]), upairsetIR]), upairsetE]), eqimpsubset2]), eqinunit]), notinsingleton]), subsetRefl]), nonemptyImpWitness]), c_0_174]), c_0_175]), subPowSU]), powersetE]), setadjoinSub2]), emptyinPowerset]), powersetI]), disjointsetsI1]), c_0_176]), setadjoinOr]), setadjoinE]), setadjoinIR]), powersetI1]), emptyinunitempty]), nonemptyI1]), inCongP]), c_0_177]), powersetsubset]), emptyI]), setext]), notinemptyset]), c_0_178]), c_0_179]), c_0_180]), c_0_181]), c_0_182]), c_0_183]), c_0_184]), binunionIL]), omegaIndAx]), omega0Ax]), binunionIR]), powersetAx]), binunionEcases]), binunionLsub]), c_0_185]), binunionRsub]), binintersectI]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), setukpairinjL1]), singletonsuniq]), binintersectSubset4]), binintersectSubset1]), setminusI]), setminusER]), setminusERneg]), setminusILneg]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setadjoin__Cong]), setukpairIL]), kpairiskpair]), kpairp]), singletoninpowunion]), upairset2E]), upairinpowunion]), ubforcartprodlem1]), cartprodpairin]), setunionsingleton]), c_0_186]), c_0_187]), c_0_188]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR1]), setukpairinjR12]), kfstpairEq]), theprop]), c_0_189]), c_0_190]), setunionsingleton2]), setunionsingleton1]), setunionE2]), cartprodmempair]), cartprodmempair1]), ubforcartprodlem3]), ubforcartprodlem2]), upairsubunion]), singletoninpowerset]), singletonsubset]), setukpairIR]), symdiffI1]), symdiffE]), setminusSubset1]), setminusLsub]), setminusIRneg]), setminusELneg]), setminusSubset2]), setminusEL]), bs114d]), binintersectRsub]), binintersectEL]), binintersectSubset5]), binunionE]), upairset2IR]), inPowerset]), powersetE1]), setextsub]), subset2powerset]), setadjoinSub]), subsetTrans]), notequalI2]), notequalI1]), notsubsetI]), subsetE2]), subsetE]), emptysetsubset]), subsetI2]), eqimpsubset1]), omega__Cong]), setunion__Cong]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), c_0_191]), upairsetIL]), singletonsswitch]), uniqinunit]), setunionE]), setunionI]), emptyInPowerset]), setadjoinIL]), c_0_192]), nonemptyE1]), noeltsimpempty]), c_0_193]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_194]), wellorderingAx]), foundationAx]), omegaSAx]), setunionAx]), emptysetAx]), setextAx])])]), c_0_195])).
0.69/0.55	thf(c_0_197, negated_conjecture, ![X937:$i, X938:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$i, X947:$i, X948:$i, X950:$i, X951:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X959:$i, X960:$i > $i > $o, X961:$i, X964:$i, X966:$i, X967:$i, X968:$i, X969:$i, X971:$i, X972:$i > $o, X973:$i, X974:$i > $o, X975:$i, X976:$i, X977:$i > $o, X978:$i, X979:$i, X980:$i > $o, X981:$i, X982:$i > $o, X984:$i, X985:$o, X986:$i, X987:$i, X988:$o, X989:$i, X990:$i, X991:$i > $o, X993:$i, X994:$i, X997:$i, X999:$i, X1001:$i, X1002:$i > $o, X1003:$i, X1004:$i, X1006:$i, X1007:$i > $o, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$o, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$o, X1039:$i, X1040:$i, X1041:$i > $o, X1043:$i, X1044:$i, X1045:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i > $o, X1064:$i, X1065:$i > $o, X1066:$i, X1067:$i, X1068:$i > $o, X1069:$i, X1071:$i, X1072:$i > $o, X1074:$i, X1075:$i, X1076:$i > $o, X1078:$i, X1079:$i, X1080:$i > $o, X1081:$i, X1083:$o, X1084:$i, X1085:$i > $o, X1087:$i, X1088:$i, X1089:$i > $o, X1090:$i, X1092:$i > $o, X1093:$i, X1095:$i > $o, X1096:$i, X1099:$i > $o, X1100:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i > $o, X1111:$i, X1112:$i, X1113:$i > $o, X1114:$i > $o, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i, X1124:$i, X1125:$i > $o, X1126:$i, X1127:$i, X1128:$i > $o, X1129:$i > $o, X1132:$i, X1133:$i, X1134:$i > $o, X1135:$i > $o, X1138:$i, X1139:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1148:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1162:$i, X1163:$i, X1164:$i, X1165:$i, X1166:$i, X1167:$i, X1168:$i, X1169:$i, X1170:$i, X1171:$i, X1172:$i, X1173:$i, X1174:$i, X1175:$i, X1176:$i, X1177:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i > $o, X1186:$i, X1187:$i > $o, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$o, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1212:$i, X1213:$i, X1214:$i, X1215:$i, X1216:$i, X1217:$i, X1218:$i, X1219:$i, X1220:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$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:$i, X1267:$o, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1279:$i, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1287:$i, X1288:$i, X1289:$i, X1290:$i, X1291:$i, X1292:$i, X1293:$i, X1294:$i, X1295:$i, X1296:$i, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i, X1333:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i > $o, X1342:$i, X1343:$i, X1344:$i > $o, X1346:$i, X1347:$i > $o, X1348:$i, X1350:$i, X1351:$i > $o, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i, X1368:$i, X1369:$i, X1370:$i, X1371:$i, X1372:$i, X1373:$i, X1374:$i, X1375:$i, X1376:$i, X1377:$i, X1378:$i, X1379:$i, X1380:$i, X1381:$i, X1382:$i]:((((~(in @ (esk1_2 @ X937 @ X938) @ X937)|~(in @ (esk1_2 @ X937 @ X938) @ X938)|((X937)=(X938)))&((in @ (esk1_2 @ X937 @ X938) @ X937)|(in @ (esk1_2 @ X937 @ X938) @ X938)|((X937)=(X938))))&(~(in @ X940 @ emptyset)&(((~(in @ X943 @ (setadjoin @ X941 @ X942))|(((X943)=(X941))|(in @ X943 @ X942)))&((((X943)!=(X941))|(in @ X943 @ (setadjoin @ X941 @ X942)))&(~(in @ X943 @ X942)|(in @ X943 @ (setadjoin @ X941 @ X942)))))&(((~(in @ X945 @ (powerset @ X944))|(~(in @ X946 @ X945)|(in @ X946 @ X944)))&(((in @ (esk2_2 @ X947 @ X948) @ X948)|(in @ X948 @ (powerset @ X947)))&(~(in @ (esk2_2 @ X947 @ X948) @ X947)|(in @ X948 @ (powerset @ X947)))))&(((((in @ X951 @ (esk3_2 @ X950 @ X951))|~(in @ X951 @ (setunion @ X950)))&((in @ (esk3_2 @ X950 @ X951) @ X950)|~(in @ X951 @ (setunion @ X950))))&(~(in @ X954 @ X955)|~(in @ X955 @ X953)|(in @ X954 @ (setunion @ X953))))&((in @ emptyset @ omega)&((~(in @ X956 @ omega)|(in @ (setadjoin @ X956 @ X956) @ omega))&(((((in @ (esk4_1 @ X957) @ omega)|~(in @ emptyset @ X957)|(~(in @ X959 @ omega)|(in @ X959 @ X957)))&((in @ (esk4_1 @ X957) @ X957)|~(in @ emptyset @ X957)|(~(in @ X959 @ omega)|(in @ X959 @ X957))))&(~(in @ (setadjoin @ (esk4_1 @ X957) @ (esk4_1 @ X957)) @ X957)|~(in @ emptyset @ X957)|(~(in @ X959 @ omega)|(in @ X959 @ X957))))&((((((in @ (esk7_3 @ X960 @ X961 @ X964) @ X961)|~(in @ X964 @ (esk6_2 @ X960 @ X961))|(in @ (esk5_2 @ X960 @ X961) @ X961))&((X960 @ (esk7_3 @ X960 @ X961 @ X964) @ X964)|~(in @ X964 @ (esk6_2 @ X960 @ X961))|(in @ (esk5_2 @ X960 @ X961) @ X961)))&(~(in @ X967 @ X961)|~(X960 @ X967 @ X966)|(in @ X966 @ (esk6_2 @ X960 @ X961))|(in @ (esk5_2 @ X960 @ X961) @ X961)))&((((in @ (esk7_3 @ X960 @ X961 @ X964) @ X961)|~(in @ X964 @ (esk6_2 @ X960 @ X961))|~(exu @ (X960 @ (esk5_2 @ X960 @ X961))))&((X960 @ (esk7_3 @ X960 @ X961 @ X964) @ X964)|~(in @ X964 @ (esk6_2 @ X960 @ X961))|~(exu @ (X960 @ (esk5_2 @ X960 @ X961)))))&(~(in @ X967 @ X961)|~(X960 @ X967 @ X966)|(in @ X966 @ (esk6_2 @ X960 @ X961))|~(exu @ (X960 @ (esk5_2 @ X960 @ X961))))))&((((in @ (esk8_1 @ X968) @ X968)|~(in @ X969 @ X968))&(~(in @ X971 @ (esk8_1 @ X968))|~(in @ X971 @ X968)|~(in @ X969 @ X968)))&((epred1_0)&((~(exu @ X972)|(X972 @ (descr @ X972)))&((~(in @ X975 @ X973)|(~(X974 @ X975)|(in @ X975 @ (dsetconstr @ X973 @ X974))))&((~(in @ X978 @ (dsetconstr @ X976 @ X977))|(in @ X978 @ X976))&((~(in @ X981 @ (dsetconstr @ X979 @ X980))|(X980 @ X981))&((((X982 @ (esk9_1 @ X982))|~(exu @ X982))&(~(X982 @ X984)|((esk9_1 @ X982)=(X984))|~(exu @ X982)))&((~(in @ X986 @ (prop2set @ ((X985))))|(X985))&((~(in @ X987 @ emptyset)|(X988))&((~(in @ X989 @ emptyset)|~($true))&(~(in @ X990 @ emptyset)&((~(exu @ X991)|(X991 @ (esk10_1 @ X991)))&(((((in @ (esk12_2 @ X993 @ X994) @ X994)|((X993)=(X994))|(in @ (esk11_2 @ X993 @ X994) @ X993))&(~(in @ (esk12_2 @ X993 @ X994) @ X993)|((X993)=(X994))|(in @ (esk11_2 @ X993 @ X994) @ X993)))&(((in @ (esk12_2 @ X993 @ X994) @ X994)|((X993)=(X994))|~(in @ (esk11_2 @ X993 @ X994) @ X994))&(~(in @ (esk12_2 @ X993 @ X994) @ X993)|((X993)=(X994))|~(in @ (esk11_2 @ X993 @ X994) @ X994))))&(((in @ (esk13_1 @ X997) @ X997)|((X997)=(emptyset)))&(((in @ (esk14_1 @ X999) @ X999)|((X999)=(emptyset)))&(((~(in @ X1003 @ (dsetconstr @ X1001 @ X1002))|(X1002 @ X1003)|~(in @ X1003 @ X1001))&(~(X1002 @ X1003)|(in @ X1003 @ (dsetconstr @ X1001 @ X1002))|~(in @ X1003 @ X1001)))&((~(nonempty @ X1004)|(in @ (esk15_1 @ X1004) @ X1004))&((~(in @ X1008 @ X1006)|(~(X1007 @ X1008)|(nonempty @ (dsetconstr @ X1006 @ X1007))))&((~(in @ X1010 @ X1009)|(nonempty @ X1009))&((in @ X1011 @ (setadjoin @ X1011 @ X1012))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1015 @ X1014)|(in @ X1015 @ (setadjoin @ X1013 @ X1014)))&(((((in @ X1018 @ X1017)|(X1019)|((X1018)=(X1016))|~(in @ X1018 @ (setadjoin @ X1016 @ X1017)))&(~(X1019)|(X1019)|((X1018)=(X1016))|~(in @ X1018 @ (setadjoin @ X1016 @ X1017))))&(((in @ X1018 @ X1017)|(X1019)|~(X1019)|~(in @ X1018 @ (setadjoin @ X1016 @ X1017)))&(~(X1019)|(X1019)|~(X1019)|~(in @ X1018 @ (setadjoin @ X1016 @ X1017)))))&((~(in @ X1022 @ (setadjoin @ X1020 @ X1021))|(((X1022)=(X1020))|(in @ X1022 @ X1021)))&(((dsetconstr @ X1023 @ (^[Z0/* 1 */:$i]:($true)))=(X1023))&((((in @ (esk16_2 @ X1024 @ X1025) @ X1025)|(in @ X1025 @ (powerset @ X1024)))&(~(in @ (esk16_2 @ X1024 @ X1025) @ X1024)|(in @ X1025 @ (powerset @ X1024))))&((in @ emptyset @ (powerset @ X1027))&((in @ emptyset @ (powerset @ X1028))&((~(in @ X1030 @ (powerset @ X1029))|(~(in @ X1031 @ X1030)|(in @ X1031 @ X1029)))&((~(in @ X1033 @ X1034)|(~(in @ X1034 @ X1032)|(in @ X1033 @ (setunion @ X1032))))&((((in @ X1036 @ (esk17_3 @ X1035 @ X1036 @ X1037))|(X1037)|~(in @ X1036 @ (setunion @ X1035)))&(((in @ (esk17_3 @ X1035 @ X1036 @ X1037) @ X1035)|(X1037)|~(in @ X1036 @ (setunion @ X1035)))&(~(X1037)|(X1037)|~(in @ X1036 @ (setunion @ X1035)))))&((~(in @ X1040 @ X1039)|(in @ X1040 @ (powerset @ (setunion @ X1039))))&(((~(X1041 @ X1043)|((X1043)=(esk18_1 @ X1041))|~(exu @ X1041))&(((X1044)!=(esk18_1 @ X1041))|(X1041 @ X1044)|~(exu @ X1041)))&((((in @ (esk19_1 @ X1045) @ X1045)|~(nonempty @ X1045))&(($true)|~(nonempty @ X1045)))&((~(in @ X1047 @ (setadjoin @ X1048 @ emptyset))|((X1047)=(X1048)))&((((X1049)=(X1050))|~(in @ X1050 @ (setadjoin @ X1049 @ emptyset)))&((((X1051)!=(X1052))|(in @ X1051 @ (setadjoin @ X1052 @ emptyset)))&((~(in @ X1053 @ (setadjoin @ X1054 @ emptyset))|(in @ X1054 @ (setadjoin @ X1053 @ emptyset)))&((~(in @ X1057 @ (setadjoin @ X1055 @ (setadjoin @ X1056 @ emptyset)))|(((X1057)=(X1055))|((X1057)=(X1056))))&((in @ X1058 @ (setadjoin @ X1058 @ (setadjoin @ X1059 @ emptyset)))&((in @ X1061 @ (setadjoin @ X1060 @ (setadjoin @ X1061 @ emptyset)))&((~(in @ X1064 @ X1062)|~(X1063 @ X1064)|(((dsetconstr @ X1062 @ X1063)!=(emptyset))|~($true)))&((~(in @ X1066 @ emptyset)|(X1065 @ X1066))&((((in @ (esk20_2 @ X1067 @ X1068) @ X1067)|(~(in @ X1069 @ X1067)|(X1068 @ X1069)))&(~(X1068 @ (esk20_2 @ X1067 @ X1068))|(~(in @ X1069 @ X1067)|(X1068 @ X1069))))&((((in @ (esk21_2 @ X1071 @ X1072) @ X1071)|(~(in @ X1074 @ X1071)|~(X1072 @ X1074)))&((X1072 @ (esk21_2 @ X1071 @ X1072))|(~(in @ X1074 @ X1071)|~(X1072 @ X1074))))&((((in @ (esk22_2 @ X1075 @ X1076) @ X1075)|(~(in @ X1078 @ X1075)|~(X1076 @ X1078)))&((X1076 @ (esk22_2 @ X1075 @ X1076))|(~(in @ X1078 @ X1075)|~(X1076 @ X1078))))&((((in @ (esk23_2 @ X1079 @ X1080) @ X1079)|(~(in @ X1081 @ X1079)|(X1080 @ X1081)))&(~(X1080 @ (esk23_2 @ X1079 @ X1080))|(~(in @ X1081 @ X1079)|(X1080 @ X1081))))&((~(X1083)|(in @ emptyset @ (prop2set @ ((X1083)))))&((prop2set2propI)&((((in @ (esk24_2 @ X1084 @ X1085) @ X1084)|(~(in @ X1087 @ X1084)|~(X1085 @ X1087)))&((X1085 @ (esk24_2 @ X1084 @ X1085))|(~(in @ X1087 @ X1084)|~(X1085 @ X1087))))&((((in @ (esk25_2 @ X1088 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X1112)|((X1111)=(X1112)))))&((((~(exu @ X1113)|(exu @ X1114)|((esk30_2 @ X1113 @ X1114)=(esk31_2 @ X1113 @ X1114)))&(~(exu @ X1114)|(exu @ X1113)|((esk30_2 @ X1113 @ X1114)=(esk31_2 @ X1113 @ X1114))))&(((~(exu @ X1113)|(exu @ X1114)|(~(X1113 @ (esk30_2 @ X1113 @ X1114))|~(X1114 @ (esk31_2 @ X1113 @ X1114))))&(~(exu @ X1114)|(exu @ X1113)|(~(X1113 @ (esk30_2 @ X1113 @ X1114))|~(X1114 @ (esk31_2 @ X1113 @ X1114)))))&((~(exu @ X1113)|(exu @ X1114)|((X1113 @ (esk30_2 @ X1113 @ X1114))|(X1114 @ (esk31_2 @ X1113 @ X1114))))&(~(exu @ X1114)|(exu @ X1113)|((X1113 @ (esk30_2 @ X1113 @ X1114))|(X1114 @ (esk31_2 @ X1113 @ X1114)))))))&(((emptyset)=(emptyset))&((((X1117)!=(X1118))|(((X1119)!=(X1120))|((setadjoin @ X1117 @ X1119)=(setadjoin @ X1118 @ X1120))))&((((X1121)!=(X1122))|((powerset @ X1121)=(powerset @ X1122)))&((((X1123)!=(X1124))|((setunion @ X1123)=(setunion @ X1124)))&(((omega)=(omega))&((~(exu @ X1125)|(~(X1125 @ X1126)|(~(X1125 @ X1127)|((X1126)=(X1127)))))&(((((esk32_2 @ X1128 @ X1129)=(esk33_2 @ X1128 @ X1129))|(~(exu @ X1128)|(~(exu @ X1129)|((descr @ X1128)=(descr @ X1129)))))&((~(X1128 @ (esk32_2 @ X1128 @ X1129))|~(X1129 @ (esk33_2 @ X1128 @ X1129))|(~(exu @ X1128)|(~(exu @ X1129)|((descr @ X1128)=(descr @ X1129)))))&((X1128 @ (esk32_2 @ X1128 @ X1129))|(X1129 @ (esk33_2 @ X1128 @ X1129))|(~(exu @ X1128)|(~(exu @ X1129)|((descr @ X1128)=(descr @ X1129)))))))&((((in @ (esk34_4 @ X1132 @ X1133 @ X1134 @ X1135) @ X1132)|((dsetconstr @ X1132 @ X1134)=(dsetconstr @ X1133 @ X1135))|((X1132)!=(X1133)))&(((in @ (esk35_4 @ X1132 @ X1133 @ X1134 @ X1135) @ X1133)|((dsetconstr @ X1132 @ X1134)=(dsetconstr @ X1133 @ X1135))|((X1132)!=(X1133)))&((((esk34_4 @ X1132 @ X1133 @ X1134 @ X1135)=(esk35_4 @ X1132 @ X1133 @ X1134 @ X1135))|((dsetconstr @ X1132 @ X1134)=(dsetconstr @ X1133 @ X1135))|((X1132)!=(X1133)))&((~(X1134 @ (esk34_4 @ X1132 @ X1133 @ X1134 @ X1135))|~(X1135 @ (esk35_4 @ X1132 @ X1133 @ X1134 @ X1135))|((dsetconstr @ X1132 @ X1134)=(dsetconstr @ X1133 @ X1135))|((X1132)!=(X1133)))&((X1134 @ (esk34_4 @ X1132 @ X1133 @ X1134 @ X1135))|(X1135 @ (esk35_4 @ X1132 @ X1133 @ X1134 @ X1135))|((dsetconstr @ X1132 @ X1134)=(dsetconstr @ X1133 @ X1135))|((X1132)!=(X1133)))))))&((((in @ (esk36_2 @ X1138 @ X1139) @ X1138)|(subset @ X1138 @ X1139))&(~(in @ (esk36_2 @ X1138 @ X1139) @ X1139)|(subset @ X1138 @ X1139)))&((((X1141)!=(X1142))|(subset @ X1142 @ X1141))&((((X1143)!=(X1144))|(subset @ X1143 @ X1144))&((((in @ (esk37_2 @ X1145 @ X1146) @ X1145)|(subset @ X1145 @ X1146))&(~(in @ (esk37_2 @ X1145 @ X1146) @ X1146)|(subset @ X1145 @ X1146)))&((subset @ emptyset @ X1148)&((~(subset @ X1149 @ X1150)|(~(in @ X1151 @ X1149)|(in @ X1151 @ X1150)))&((~(subset @ X1152 @ X1153)|((in @ X1154 @ X1153)|~(in @ X1154 @ X1152)))&((~(in @ X1157 @ X1155)|((in @ X1157 @ X1156)|~(subset @ X1155 @ X1156)))&(((subset @ X1158 @ X1159)|((X1158)!=(X1159)))&((~(in @ X1162 @ X1160)|((in @ X1162 @ X1161)|((X1160)!=(X1161))))&((subset @ X1163 @ X1163)&((~(subset @ X1164 @ X1165)|(~(subset @ X1165 @ X1166)|(subset @ X1164 @ X1166)))&((subset @ X1168 @ (setadjoin @ X1167 @ X1168))&((~(subset @ X1169 @ X1171)|(subset @ X1169 @ (setadjoin @ X1170 @ X1171)))&((~(subset @ X1172 @ X1173)|(in @ X1172 @ (powerset @ X1173)))&((~(subset @ X1174 @ X1175)|(~(subset @ X1175 @ X1174)|((X1174)=(X1175))))&((~(subset @ X1176 @ emptyset)|((X1176)=(emptyset)))&((~(subset @ X1178 @ X1177)|(in @ X1178 @ (powerset @ X1177)))&((~(in @ X1180 @ (powerset @ X1179))|(subset @ X1180 @ X1179))&((in @ X1181 @ (powerset @ X1181))&((~(subset @ X1182 @ X1183)|(subset @ (powerset @ X1182) @ (powerset @ X1183)))&((in @ (dsetconstr @ X1184 @ X1185) @ (powerset @ X1184))&((subset @ (dsetconstr @ X1186 @ X1187) @ X1186)&((~(in @ X1190 @ X1188)|(in @ X1190 @ (binunion @ X1188 @ X1189)))&((in @ X1192 @ (setadjoin @ X1191 @ (setadjoin @ X1192 @ emptyset)))&((~(in @ X1195 @ X1194)|(in @ X1195 @ (binunion @ X1193 @ X1194)))&(((((in @ X1198 @ X1197)|(X1199)|(in @ X1198 @ X1196)|~(in @ X1198 @ (binunion @ X1196 @ X1197)))&(~(X1199)|(X1199)|(in @ X1198 @ X1196)|~(in @ X1198 @ (binunion @ X1196 @ X1197))))&(((in @ X1198 @ X1197)|(X1199)|~(X1199)|~(in @ X1198 @ (binunion @ X1196 @ X1197)))&(~(X1199)|(X1199)|~(X1199)|~(in @ X1198 @ (binunion @ X1196 @ X1197)))))&((~(in @ X1202 @ (binunion @ X1200 @ X1201))|((in @ X1202 @ X1200)|(in @ X1202 @ X1201)))&((subset @ X1203 @ (binunion @ X1203 @ X1204))&((subset @ X1206 @ (binunion @ X1205 @ X1206))&((~(in @ X1209 @ X1207)|(~(in @ X1209 @ X1208)|(in @ X1209 @ (binintersect @ X1207 @ X1208))))&((~(subset @ X1212 @ X1210)|(~(subset @ X1212 @ X1211)|(subset @ X1212 @ (binintersect @ X1210 @ X1211))))&((~(in @ X1215 @ (binintersect @ X1213 @ X1214))|(in @ X1215 @ X1213))&((subset @ (binintersect @ X1216 @ X1217) @ X1216)&((~(subset @ X1218 @ X1219)|((binintersect @ X1218 @ X1219)=(X1218)))&((((binintersect @ X1220 @ X1221)!=(X1221))|(subset @ X1221 @ X1220))&((~(in @ X1224 @ (binintersect @ X1222 @ X1223))|(in @ X1224 @ X1223))&((((in @ (esk38_2 @ X1225 @ X1226) @ X1225)|((binintersect @ X1225 @ X1226)=(emptyset)))&((in @ (esk38_2 @ X1225 @ X1226) @ X1226)|((binintersect @ X1225 @ X1226)=(emptyset))))&((subset @ (binintersect @ X1228 @ X1229) @ X1229)&((~(subset @ X1231 @ X1230)|((binintersect @ X1230 @ X1231)=(X1231)))&((((binintersect @ X1232 @ X1233)!=(X1232))|(subset @ X1232 @ X1233))&(((binintersect @ X1234 @ (binunion @ X1235 @ X1236))=(binunion @ (binintersect @ X1234 @ X1235) @ (binintersect @ X1234 @ X1236)))&((~(in @ X1239 @ X1237)|((in @ X1239 @ X1238)|(in @ X1239 @ (setminus @ X1237 @ X1238))))&((~(in @ X1242 @ (setminus @ X1240 @ X1241))|(in @ X1242 @ X1240))&((~(in @ X1245 @ (setminus @ X1243 @ X1244))|~(in @ X1245 @ X1244))&((~(subset @ X1246 @ X1247)|((setminus @ X1246 @ X1247)=(emptyset)))&(((in @ X1250 @ (setminus @ X1248 @ X1249))|(~(in @ X1250 @ X1248)|(in @ X1250 @ X1249)))&(((in @ X1253 @ (setminus @ X1251 @ X1252))|((in @ X1253 @ X1252)|~(in @ X1253 @ X1251)))&(((in @ X1256 @ X1254)|~(in @ X1256 @ (setminus @ X1254 @ X1255)))&((~(in @ X1259 @ X1258)|~(in @ X1259 @ (setminus @ X1257 @ X1258)))&((subset @ (setminus @ X1260 @ X1261) @ X1260)&((((setminus @ X1262 @ X1263)!=(emptyset))|(subset @ X1262 @ X1263))&((((~(in @ X1266 @ X1264)|(X1267)|(in @ X1266 @ X1264)|~(in @ X1266 @ (symdiff @ X1264 @ X1265)))&(((in @ X1266 @ X1265)|(X1267)|(in @ X1266 @ X1264)|~(in @ X1266 @ (symdiff @ X1264 @ X1265)))&(~(X1267)|(X1267)|(in @ X1266 @ X1264)|~(in @ X1266 @ (symdiff @ X1264 @ X1265)))))&(((~(in @ X1266 @ X1264)|(X1267)|~(in @ X1266 @ X1265)|~(in @ X1266 @ (symdiff @ X1264 @ X1265)))&(((in @ X1266 @ X1265)|(X1267)|~(in @ X1266 @ X1265)|~(in @ X1266 @ (symdiff @ X1264 @ X1265)))&(~(X1267)|(X1267)|~(in @ X1266 @ X1265)|~(in @ X1266 @ (symdiff @ X1264 @ X1265)))))&((~(in @ X1266 @ X1264)|(X1267)|~(X1267)|~(in @ X1266 @ (symdiff @ X1264 @ X1265)))&(((in @ X1266 @ X1265)|(X1267)|~(X1267)|~(in @ X1266 @ (symdiff @ X1264 @ X1265)))&(~(X1267)|(X1267)|~(X1267)|~(in @ X1266 @ (symdiff @ X1264 @ X1265)))))))&((~(in @ X1270 @ X1268)|((in @ X1270 @ X1269)|(in @ X1270 @ (symdiff @ X1268 @ X1269))))&(((in @ X1273 @ X1271)|(~(in @ X1273 @ X1272)|(in @ X1273 @ (symdiff @ X1271 @ X1272))))&((~(in @ X1276 @ X1274)|(~(in @ X1276 @ X1275)|~(in @ X1276 @ (symdiff @ X1274 @ X1275))))&(((in @ X1279 @ X1277)|((in @ X1279 @ X1278)|~(in @ X1279 @ (symdiff @ X1277 @ X1278))))&((in @ X1281 @ (setadjoin @ X1280 @ (setadjoin @ X1281 @ emptyset)))&((in @ X1282 @ (setunion @ (setadjoin @ (setadjoin @ X1282 @ emptyset) @ (setadjoin @ (setadjoin @ X1282 @ (setadjoin @ X1283 @ emptyset)) @ emptyset))))&((in @ X1285 @ (setunion @ (setadjoin @ (setadjoin @ X1284 @ emptyset) @ (setadjoin @ (setadjoin @ X1284 @ (setadjoin @ X1285 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1286 @ emptyset) @ (setadjoin @ (setadjoin @ X1286 @ (setadjoin @ X1287 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1288 @ X1289))&((~(in @ X1291 @ X1290)|(subset @ (setadjoin @ X1291 @ emptyset) @ X1290))&((~(in @ X1293 @ X1292)|(in @ (setadjoin @ X1293 @ emptyset) @ (powerset @ X1292)))&((~(in @ X1296 @ X1294)|(in @ (setadjoin @ X1296 @ emptyset) @ (powerset @ (binunion @ X1294 @ X1295))))&((~(in @ X1299 @ (setadjoin @ X1297 @ (setadjoin @ X1298 @ emptyset)))|(((X1299)=(X1297))|((X1299)=(X1298))))&((~(in @ X1302 @ X1300)|(~(in @ X1303 @ X1301)|(subset @ (setadjoin @ X1302 @ (setadjoin @ X1303 @ emptyset)) @ (binunion @ X1300 @ X1301))))&((~(in @ X1306 @ X1304)|(~(in @ X1307 @ X1305)|(in @ (setadjoin @ X1306 @ (setadjoin @ X1307 @ emptyset)) @ (powerset @ (binunion @ X1304 @ X1305)))))&((~(in @ X1310 @ X1308)|(~(in @ X1311 @ X1309)|(subset @ (setadjoin @ (setadjoin @ X1310 @ emptyset) @ (setadjoin @ (setadjoin @ X1310 @ (setadjoin @ X1311 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1308 @ X1309)))))&((~(in @ X1314 @ X1312)|(~(in @ X1315 @ X1313)|(in @ (setadjoin @ (setadjoin @ X1314 @ emptyset) @ (setadjoin @ (setadjoin @ X1314 @ (setadjoin @ X1315 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1312 @ X1313))))))&((~(in @ X1318 @ X1316)|(~(in @ X1319 @ X1317)|(in @ (kpair @ X1318 @ X1319) @ (powerset @ (powerset @ (binunion @ X1316 @ X1317))))))&((~(in @ X1322 @ X1320)|(~(in @ X1323 @ X1321)|(in @ (kpair @ X1322 @ X1323) @ (cartprod @ X1320 @ X1321))))&((((in @ (esk39_3 @ X1324 @ X1325 @ X1326) @ X1324)|~(in @ X1326 @ (cartprod @ X1324 @ X1325)))&(((in @ (esk40_3 @ X1324 @ X1325 @ X1326) @ X1325)|~(in @ X1326 @ (cartprod @ X1324 @ X1325)))&(((X1326)=(kpair @ (esk39_3 @ X1324 @ X1325 @ X1326) @ (esk40_3 @ X1324 @ X1325 @ X1326)))|~(in @ X1326 @ (cartprod @ X1324 @ X1325)))))&((~(in @ X1331 @ (cartprod @ X1329 @ X1330))|(iskpair @ X1331))&((((in @ (esk41_2 @ X1332 @ X1333) @ X1332)|~(in @ X1333 @ (setunion @ X1332)))&((in @ X1333 @ (esk41_2 @ X1332 @ X1333))|~(in @ X1333 @ (setunion @ X1332))))&((subset @ (setunion @ (setadjoin @ X1335 @ emptyset)) @ X1335)&((subset @ X1336 @ (setunion @ (setadjoin @ X1336 @ emptyset)))&(((setunion @ (setadjoin @ X1337 @ emptyset))=(X1337))&((((in @ (esk42_2 @ X1338 @ X1339) @ X1338)|(~(in @ X1342 @ X1338)|~(X1339 @ X1342)|(singleton @ (dsetconstr @ X1338 @ X1339))))&(((in @ (esk43_2 @ X1338 @ X1339) @ X1338)|(~(in @ X1342 @ X1338)|~(X1339 @ X1342)|(singleton @ (dsetconstr @ X1338 @ X1339))))&(((X1339 @ (esk42_2 @ X1338 @ X1339))|(~(in @ X1342 @ X1338)|~(X1339 @ X1342)|(singleton @ (dsetconstr @ X1338 @ X1339))))&(((X1339 @ (esk43_2 @ X1338 @ X1339))|(~(in @ X1342 @ X1338)|~(X1339 @ X1342)|(singleton @ (dsetconstr @ X1338 @ X1339))))&(((esk42_2 @ X1338 @ X1339)!=(esk43_2 @ X1338 @ X1339))|(~(in @ X1342 @ X1338)|~(X1339 @ X1342)|(singleton @ (dsetconstr @ X1338 @ X1339))))))))&((((in @ (esk44_2 @ X1343 @ X1344) @ X1343)|~(ex1 @ X1343 @ X1344))&((X1344 @ (esk44_2 @ X1343 @ X1344))|~(ex1 @ X1343 @ X1344)))&((((in @ (esk45_3 @ X1346 @ X1347 @ X1348) @ X1346)|(ex1 @ X1346 @ X1347)|~(X1347 @ X1348)|~(in @ X1348 @ X1346))&(((X1347 @ (esk45_3 @ X1346 @ X1347 @ X1348))|(ex1 @ X1346 @ X1347)|~(X1347 @ X1348)|~(in @ X1348 @ X1346))&(((esk45_3 @ X1346 @ X1347 @ X1348)!=(X1348))|(ex1 @ X1346 @ X1347)|~(X1347 @ X1348)|~(in @ X1348 @ X1346))))&((((in @ (esk46_2 @ X1350 @ X1351) @ X1350)|(~(in @ X1354 @ X1350)|~(X1351 @ X1354)|(ex1 @ X1350 @ X1351)))&(((in @ (esk47_2 @ X1350 @ X1351) @ X1350)|(~(in @ X1354 @ X1350)|~(X1351 @ X1354)|(ex1 @ X1350 @ X1351)))&(((X1351 @ (esk46_2 @ X1350 @ X1351))|(~(in @ X1354 @ X1350)|~(X1351 @ X1354)|(ex1 @ X1350 @ X1351)))&(((X1351 @ (esk47_2 @ X1350 @ X1351))|(~(in @ X1354 @ X1350)|~(X1351 @ X1354)|(ex1 @ X1350 @ X1351)))&(((esk46_2 @ X1350 @ X1351)!=(esk47_2 @ X1350 @ X1351))|(~(in @ X1354 @ X1350)|~(X1351 @ X1354)|(ex1 @ X1350 @ X1351)))))))&((((setadjoin @ X1355 @ emptyset)!=(setadjoin @ X1356 @ emptyset))|((X1355)=(X1356)))&((~(in @ (setadjoin @ X1359 @ emptyset) @ (setadjoin @ (setadjoin @ X1357 @ emptyset) @ (setadjoin @ (setadjoin @ X1357 @ (setadjoin @ X1358 @ emptyset)) @ emptyset)))|((X1357)=(X1359)))&((~(iskpair @ X1360)|(singleton @ (dsetconstr @ (setunion @ X1360) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1360))))))&((~(singleton @ X1361)|(in @ (setunion @ X1361) @ X1361))&(((kfst @ (kpair @ X1362 @ X1363))=(X1362))&((~(in @ X1366 @ (cartprod @ X1364 @ X1365))|(in @ (kfst @ X1366) @ X1364))&((((setadjoin @ (setadjoin @ X1367 @ emptyset) @ (setadjoin @ (setadjoin @ X1367 @ (setadjoin @ X1368 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1369 @ emptyset) @ (setadjoin @ (setadjoin @ X1369 @ (setadjoin @ X1370 @ emptyset)) @ emptyset)))|((X1367)=(X1369)))&((((kpair @ X1371 @ X1372)!=(kpair @ X1373 @ X1374))|((X1371)=(X1373)))&((((X1375)!=(X1376))|((setadjoin @ X1375 @ (setadjoin @ X1376 @ emptyset))=(setadjoin @ X1375 @ emptyset)))&((((X1377)!=(X1378))|((setadjoin @ (setadjoin @ X1377 @ emptyset) @ (setadjoin @ (setadjoin @ X1377 @ (setadjoin @ X1378 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1377 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1379 @ emptyset) @ (setadjoin @ (setadjoin @ X1379 @ (setadjoin @ X1380 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1381 @ emptyset) @ (setadjoin @ (setadjoin @ X1381 @ (setadjoin @ X1382 @ emptyset)) @ emptyset)))|(((X1381)!=(X1382))|((X1380)=(X1382))))&(((setadjoin @ esk48_0 @ (setadjoin @ esk49_0 @ emptyset))=(setadjoin @ esk50_0 @ emptyset))&((esk48_0)!=(esk49_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_196])])])])])])])).
0.69/0.55	thf(c_0_198, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_197])).
0.69/0.55	thf(c_0_199, negated_conjecture, ((setadjoin @ esk48_0 @ (setadjoin @ esk49_0 @ emptyset))=(setadjoin @ esk50_0 @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_197])).
0.69/0.55	thf(c_0_200, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((in @ X3 @ (setadjoin @ X2 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_197])).
0.69/0.55	thf(c_0_201, negated_conjecture, (in @ esk48_0 @ (setadjoin @ esk50_0 @ emptyset)), inference(spm,[status(thm)],[c_0_198, c_0_199])).
0.69/0.55	thf(c_0_202, negated_conjecture, ((esk50_0)=(esk48_0)), inference(spm,[status(thm)],[c_0_200, c_0_201])).
0.69/0.55	thf(c_0_203, negated_conjecture, ![X3:$i, X2:$i]:((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_197])).
0.69/0.55	thf(c_0_204, negated_conjecture, ((setadjoin @ esk48_0 @ (setadjoin @ esk49_0 @ emptyset))=(setadjoin @ esk48_0 @ emptyset)), inference(rw,[status(thm)],[c_0_199, c_0_202])).
0.69/0.55	thf(c_0_205, negated_conjecture, (in @ esk49_0 @ (setadjoin @ esk48_0 @ emptyset)), inference(spm,[status(thm)],[c_0_203, c_0_204])).
0.69/0.55	thf(c_0_206, negated_conjecture, ((esk48_0)!=(esk49_0)), inference(split_conjunct,[status(thm)],[c_0_197])).
0.69/0.55	thf(c_0_207, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200, c_0_205]), c_0_206]), ['proof']).
0.69/0.55	# SZS output end CNFRefutation
0.69/0.55	# Parsed axioms                        : 373
0.69/0.55	# Removed by relevancy pruning/SinE    : 205
0.69/0.55	# Initial clauses                      : 265
0.69/0.55	# Removed in clause preprocessing      : 25
0.69/0.55	# Initial clauses in saturation        : 240
0.69/0.55	# Processed clauses                    : 349
0.69/0.55	# ...of these trivial                  : 7
0.69/0.55	# ...subsumed                          : 33
0.69/0.55	# ...remaining for further processing  : 309
0.69/0.55	# Other redundant clauses eliminated   : 16
0.69/0.55	# Clauses deleted for lack of memory   : 0
0.69/0.55	# Backward-subsumed                    : 0
0.69/0.55	# Backward-rewritten                   : 5
0.69/0.55	# Generated clauses                    : 188
0.69/0.55	# ...of the previous two non-redundant : 140
0.69/0.55	# ...aggressively subsumed             : 0
0.69/0.55	# Contextual simplify-reflections      : 0
0.69/0.55	# Paramodulations                      : 171
0.69/0.55	# Factorizations                       : 0
0.69/0.55	# NegExts                              : 0
0.69/0.55	# Equation resolutions                 : 17
0.69/0.55	# Disequality decompositions           : 0
0.69/0.55	# Total rewrite steps                  : 73
0.69/0.55	# ...of those cached                   : 45
0.69/0.55	# Propositional unsat checks           : 0
0.69/0.55	#    Propositional check models        : 0
0.69/0.55	#    Propositional check unsatisfiable : 0
0.69/0.55	#    Propositional clauses             : 0
0.69/0.55	#    Propositional clauses after purity: 0
0.69/0.55	#    Propositional unsat core size     : 0
0.69/0.55	#    Propositional preprocessing time  : 0.000
0.69/0.55	#    Propositional encoding time       : 0.000
0.69/0.55	#    Propositional solver time         : 0.000
0.69/0.55	#    Success case prop preproc time    : 0.000
0.69/0.55	#    Success case prop encoding time   : 0.000
0.69/0.55	#    Success case prop solver time     : 0.000
0.69/0.55	# Current number of processed clauses  : 87
0.69/0.55	#    Positive orientable unit clauses  : 40
0.69/0.55	#    Positive unorientable unit clauses: 0
0.69/0.55	#    Negative unit clauses             : 6
0.69/0.55	#    Non-unit-clauses                  : 41
0.69/0.55	# Current number of unprocessed clauses: 232
0.69/0.55	# ...number of literals in the above   : 591
0.69/0.55	# Current number of archived formulas  : 0
0.69/0.55	# Current number of archived clauses   : 208
0.69/0.55	# Clause-clause subsumption calls (NU) : 5670
0.69/0.55	# Rec. Clause-clause subsumption calls : 3478
0.69/0.55	# Non-unit clause-clause subsumptions  : 23
0.69/0.55	# Unit Clause-clause subsumption calls : 69
0.69/0.55	# Rewrite failures with RHS unbound    : 0
0.69/0.55	# BW rewrite match attempts            : 22
0.69/0.55	# BW rewrite match successes           : 3
0.69/0.55	# Condensation attempts                : 349
0.69/0.55	# Condensation successes               : 4
0.69/0.55	# Termbank termtop insertions          : 42480
0.69/0.55	# Search garbage collected termcells   : 14900
0.69/0.55	
0.69/0.55	# -------------------------------------------------
0.69/0.55	# User time                : 0.070 s
0.69/0.55	# System time              : 0.006 s
0.69/0.55	# Total time               : 0.075 s
0.69/0.55	# Maximum resident set size: 5544 pages
0.69/0.55	
0.69/0.55	# -------------------------------------------------
0.69/0.55	# User time                : 0.080 s
0.69/0.55	# System time              : 0.007 s
0.69/0.55	# Total time               : 0.087 s
0.69/0.55	# Maximum resident set size: 2204 pages
0.69/0.55	% E exiting
0.69/0.55	% E exiting
0.69/0.55	EOF