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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SEU822^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:27:56 AM UTC 2026

% Result   : Theorem 0.29s 0.38s
% Output   : CNFRefutation 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU822^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n011.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 14:34:46 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.23/0.31  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p
% 0.29/0.38  % Version: 3.5.1-ho
% 0.29/0.38  % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.29/0.38  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.38  % Starting ehoh_best5 with 300s (1) cores
% 0.29/0.38  % Starting almost_fo_3_lam with 300s (1) cores
% 0.29/0.38  % Starting new_bool_5 with 300s (1) cores
% 0.29/0.38  % Starting pre_casc_3 with 300s (1) cores
% 0.29/0.38  % Starting ho_unfolding_8 with 300s (1) cores
% 0.29/0.38  % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.29/0.38  % Starting new_bool_3 with 300s (1) cores
% 0.29/0.38  % Starting new_ho_5 with 300s (1) cores
% 0.29/0.38  % pre_casc_3 with pid 170301 completed with status 0
% 0.29/0.38  % Result found by pre_casc_3
% 0.29/0.38  % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.29/0.38  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.38  % Starting ehoh_best5 with 300s (1) cores
% 0.29/0.38  % Starting almost_fo_3_lam with 300s (1) cores
% 0.29/0.38  % Starting new_bool_5 with 300s (1) cores
% 0.29/0.38  % Starting pre_casc_3 with 300s (1) cores
% 0.29/0.38  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,10,,5,20000,3.0,true))
% 0.29/0.38  % SinE strategy is GSinE(CountFormulas,hypos,10,,5,20000,3.0,true)
% 0.29/0.38  % Search class: HGHSF-FSLM31-SHFMMFBN
% 0.29/0.38  % partial match(2): HGHSM-FSLM31-SHFMMSBN
% 0.29/0.38  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.29/0.38  % Starting SubtermCWHack with 28s (1) cores
% 0.29/0.38  % SubtermCWHack with pid 170306 completed with status 0
% 0.29/0.38  % Result found by SubtermCWHack
% 0.29/0.38  % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.29/0.38  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.38  % Starting ehoh_best5 with 300s (1) cores
% 0.29/0.38  % Starting almost_fo_3_lam with 300s (1) cores
% 0.29/0.38  % Starting new_bool_5 with 300s (1) cores
% 0.29/0.38  % Starting pre_casc_3 with 300s (1) cores
% 0.29/0.38  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,10,,5,20000,3.0,true))
% 0.29/0.38  % SinE strategy is GSinE(CountFormulas,hypos,10,,5,20000,3.0,true)
% 0.29/0.38  % Search class: HGHSF-FSLM31-SHFMMFBN
% 0.29/0.38  % partial match(2): HGHSM-FSLM31-SHFMMSBN
% 0.29/0.38  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.29/0.38  % Starting SubtermCWHack with 28s (1) cores
% 0.29/0.38  % Preprocessing time       : 0.005 s
% 0.29/0.38  
% 0.29/0.38  % Proof found!
% 0.29/0.38  % SZS status Theorem
% 0.29/0.38  % SZS output start CNFRefutation
% 0.29/0.38  thf(decl_23, type, in: $i > $i > $o).
% 0.29/0.38  thf(decl_25, type, setextAx: $o).
% 0.29/0.38  thf(decl_26, type, emptyset: $i).
% 0.29/0.38  thf(decl_27, type, emptysetAx: $o).
% 0.29/0.38  thf(decl_29, type, setadjoinAx: $o).
% 0.29/0.38  thf(decl_30, type, powerset: $i > $i).
% 0.29/0.38  thf(decl_31, type, powersetAx: $o).
% 0.29/0.38  thf(decl_32, type, setunion: $i > $i).
% 0.29/0.38  thf(decl_33, type, setunionAx: $o).
% 0.29/0.38  thf(decl_35, type, omega0Ax: $o).
% 0.29/0.38  thf(decl_36, type, omegaSAx: $o).
% 0.29/0.38  thf(decl_37, type, omegaIndAx: $o).
% 0.29/0.38  thf(decl_38, type, replAx: $o).
% 0.29/0.38  thf(decl_39, type, foundationAx: $o).
% 0.29/0.38  thf(decl_40, type, wellorderingAx: $o).
% 0.29/0.38  thf(decl_42, type, descrp: $o).
% 0.29/0.38  thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.29/0.38  thf(decl_44, type, dsetconstrI: $o).
% 0.29/0.38  thf(decl_45, type, dsetconstrEL: $o).
% 0.29/0.38  thf(decl_46, type, dsetconstrER: $o).
% 0.29/0.38  thf(decl_47, type, exuE1: $o).
% 0.29/0.38  thf(decl_49, type, prop2setE: $o).
% 0.29/0.38  thf(decl_50, type, emptysetE: $o).
% 0.29/0.38  thf(decl_51, type, emptysetimpfalse: $o).
% 0.29/0.38  thf(decl_52, type, notinemptyset: $o).
% 0.29/0.38  thf(decl_53, type, exuE3e: $o).
% 0.29/0.38  thf(decl_54, type, setext: $o).
% 0.29/0.38  thf(decl_55, type, emptyI: $o).
% 0.29/0.38  thf(decl_56, type, noeltsimpempty: $o).
% 0.29/0.38  thf(decl_57, type, setbeta: $o).
% 0.29/0.38  thf(decl_58, type, nonempty: $i > $o).
% 0.29/0.38  thf(decl_59, type, nonemptyE1: $o).
% 0.29/0.38  thf(decl_60, type, nonemptyI: $o).
% 0.29/0.38  thf(decl_61, type, nonemptyI1: $o).
% 0.29/0.38  thf(decl_62, type, setadjoinIL: $o).
% 0.29/0.38  thf(decl_63, type, emptyinunitempty: $o).
% 0.29/0.38  thf(decl_64, type, setadjoinIR: $o).
% 0.29/0.38  thf(decl_65, type, setadjoinE: $o).
% 0.29/0.38  thf(decl_66, type, setadjoinOr: $o).
% 0.29/0.38  thf(decl_67, type, setoftrueEq: $o).
% 0.29/0.38  thf(decl_68, type, powersetI: $o).
% 0.29/0.38  thf(decl_69, type, emptyinPowerset: $o).
% 0.29/0.38  thf(decl_70, type, emptyInPowerset: $o).
% 0.29/0.38  thf(decl_71, type, powersetE: $o).
% 0.29/0.38  thf(decl_72, type, setunionI: $o).
% 0.29/0.38  thf(decl_73, type, setunionE: $o).
% 0.29/0.38  thf(decl_74, type, subPowSU: $o).
% 0.29/0.38  thf(decl_75, type, exuE2: $o).
% 0.29/0.38  thf(decl_76, type, nonemptyImpWitness: $o).
% 0.29/0.38  thf(decl_77, type, uniqinunit: $o).
% 0.29/0.38  thf(decl_78, type, notinsingleton: $o).
% 0.29/0.38  thf(decl_79, type, eqinunit: $o).
% 0.29/0.38  thf(decl_80, type, singletonsswitch: $o).
% 0.29/0.38  thf(decl_81, type, upairsetE: $o).
% 0.29/0.38  thf(decl_82, type, upairsetIL: $o).
% 0.29/0.38  thf(decl_83, type, upairsetIR: $o).
% 0.29/0.38  thf(decl_84, type, emptyE1: $o).
% 0.29/0.38  thf(decl_85, type, vacuousDall: $o).
% 0.29/0.38  thf(decl_86, type, quantDeMorgan1: $o).
% 0.29/0.38  thf(decl_87, type, quantDeMorgan2: $o).
% 0.29/0.38  thf(decl_88, type, quantDeMorgan3: $o).
% 0.29/0.38  thf(decl_89, type, quantDeMorgan4: $o).
% 0.29/0.38  thf(decl_90, type, prop2setI: $o).
% 0.29/0.38  thf(decl_92, type, prop2set2propI: $o).
% 0.29/0.38  thf(decl_93, type, notdexE: $o).
% 0.29/0.38  thf(decl_94, type, notdallE: $o).
% 0.29/0.38  thf(decl_95, type, exuI1: $o).
% 0.29/0.38  thf(decl_96, type, exuI3: $o).
% 0.29/0.38  thf(decl_97, type, exuI2: $o).
% 0.29/0.38  thf(decl_98, type, inCongP: $o).
% 0.29/0.38  thf(decl_99, type, in__Cong: $o).
% 0.29/0.38  thf(decl_100, type, exuE3u: $o).
% 0.29/0.38  thf(decl_101, type, exu__Cong: $o).
% 0.29/0.38  thf(decl_102, type, emptyset__Cong: $o).
% 0.29/0.38  thf(decl_103, type, setadjoin__Cong: $o).
% 0.29/0.38  thf(decl_104, type, powerset__Cong: $o).
% 0.29/0.38  thf(decl_105, type, setunion__Cong: $o).
% 0.29/0.38  thf(decl_106, type, omega__Cong: $o).
% 0.29/0.38  thf(decl_107, type, exuEu: $o).
% 0.29/0.38  thf(decl_108, type, descr__Cong: $o).
% 0.29/0.38  thf(decl_109, type, dsetconstr__Cong: $o).
% 0.29/0.38  thf(decl_110, type, subset: $i > $i > $o).
% 0.29/0.38  thf(decl_113, type, subsetI1: $o).
% 0.29/0.38  thf(decl_114, type, eqimpsubset2: $o).
% 0.29/0.38  thf(decl_115, type, eqimpsubset1: $o).
% 0.29/0.38  thf(decl_116, type, subsetI2: $o).
% 0.29/0.38  thf(decl_117, type, emptysetsubset: $o).
% 0.29/0.38  thf(decl_118, type, subsetE: $o).
% 0.29/0.38  thf(decl_119, type, subsetE2: $o).
% 0.29/0.38  thf(decl_120, type, notsubsetI: $o).
% 0.29/0.38  thf(decl_121, type, notequalI1: $o).
% 0.29/0.38  thf(decl_122, type, notequalI2: $o).
% 0.29/0.38  thf(decl_123, type, subsetRefl: $o).
% 0.29/0.38  thf(decl_124, type, subsetTrans: $o).
% 0.29/0.38  thf(decl_125, type, setadjoinSub: $o).
% 0.29/0.38  thf(decl_126, type, setadjoinSub2: $o).
% 0.29/0.38  thf(decl_127, type, subset2powerset: $o).
% 0.29/0.38  thf(decl_128, type, setextsub: $o).
% 0.29/0.38  thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.29/0.38  thf(decl_130, type, powersetI1: $o).
% 0.29/0.38  thf(decl_131, type, powersetE1: $o).
% 0.29/0.38  thf(decl_132, type, inPowerset: $o).
% 0.29/0.38  thf(decl_133, type, powersetsubset: $o).
% 0.29/0.38  thf(decl_134, type, sepInPowerset: $o).
% 0.29/0.38  thf(decl_135, type, sepSubset: $o).
% 0.29/0.38  thf(decl_137, type, binunionIL: $o).
% 0.29/0.38  thf(decl_138, type, upairset2IR: $o).
% 0.29/0.38  thf(decl_139, type, binunionIR: $o).
% 0.29/0.38  thf(decl_140, type, binunionEcases: $o).
% 0.29/0.38  thf(decl_141, type, binunionE: $o).
% 0.29/0.38  thf(decl_142, type, binunionLsub: $o).
% 0.29/0.38  thf(decl_143, type, binunionRsub: $o).
% 0.29/0.38  thf(decl_144, type, binintersect: $i > $i > $i).
% 0.29/0.38  thf(decl_145, type, binintersectI: $o).
% 0.29/0.38  thf(decl_146, type, binintersectSubset5: $o).
% 0.29/0.38  thf(decl_147, type, binintersectEL: $o).
% 0.29/0.38  thf(decl_148, type, binintersectLsub: $o).
% 0.29/0.38  thf(decl_149, type, binintersectSubset2: $o).
% 0.29/0.38  thf(decl_150, type, binintersectSubset3: $o).
% 0.29/0.38  thf(decl_151, type, binintersectER: $o).
% 0.29/0.38  thf(decl_152, type, disjointsetsI1: $o).
% 0.29/0.38  thf(decl_153, type, binintersectRsub: $o).
% 0.29/0.38  thf(decl_154, type, binintersectSubset4: $o).
% 0.29/0.38  thf(decl_155, type, binintersectSubset1: $o).
% 0.29/0.38  thf(decl_156, type, bs114d: $o).
% 0.29/0.38  thf(decl_159, type, setminusI: $o).
% 0.29/0.38  thf(decl_160, type, setminusEL: $o).
% 0.29/0.38  thf(decl_161, type, setminusER: $o).
% 0.29/0.38  thf(decl_162, type, setminusSubset2: $o).
% 0.29/0.38  thf(decl_163, type, setminusERneg: $o).
% 0.29/0.38  thf(decl_164, type, setminusELneg: $o).
% 0.29/0.38  thf(decl_165, type, setminusILneg: $o).
% 0.29/0.38  thf(decl_166, type, setminusIRneg: $o).
% 0.29/0.38  thf(decl_167, type, setminusLsub: $o).
% 0.29/0.38  thf(decl_168, type, setminusSubset1: $o).
% 0.29/0.38  thf(decl_170, type, symdiffE: $o).
% 0.29/0.38  thf(decl_171, type, symdiffI1: $o).
% 0.29/0.38  thf(decl_172, type, symdiffI2: $o).
% 0.29/0.38  thf(decl_173, type, symdiffIneg1: $o).
% 0.29/0.38  thf(decl_174, type, symdiffIneg2: $o).
% 0.29/0.38  thf(decl_176, type, secondinupair: $o).
% 0.29/0.38  thf(decl_177, type, setukpairIL: $o).
% 0.29/0.38  thf(decl_178, type, setukpairIR: $o).
% 0.29/0.38  thf(decl_179, type, kpairiskpair: $o).
% 0.29/0.38  thf(decl_181, type, kpairp: $o).
% 0.29/0.38  thf(decl_183, type, singletonsubset: $o).
% 0.29/0.38  thf(decl_184, type, singletoninpowerset: $o).
% 0.29/0.38  thf(decl_185, type, singletoninpowunion: $o).
% 0.29/0.38  thf(decl_186, type, upairset2E: $o).
% 0.29/0.38  thf(decl_187, type, upairsubunion: $o).
% 0.29/0.38  thf(decl_188, type, upairinpowunion: $o).
% 0.29/0.38  thf(decl_189, type, ubforcartprodlem1: $o).
% 0.29/0.38  thf(decl_190, type, ubforcartprodlem2: $o).
% 0.29/0.38  thf(decl_191, type, ubforcartprodlem3: $o).
% 0.29/0.38  thf(decl_192, type, cartprodpairin: $o).
% 0.29/0.38  thf(decl_193, type, cartprodmempair1: $o).
% 0.29/0.38  thf(decl_194, type, cartprodmempair: $o).
% 0.29/0.38  thf(decl_195, type, setunionE2: $o).
% 0.29/0.38  thf(decl_196, type, setunionsingleton1: $o).
% 0.29/0.38  thf(decl_197, type, setunionsingleton2: $o).
% 0.29/0.38  thf(decl_198, type, setunionsingleton: $o).
% 0.29/0.38  thf(decl_200, type, singletonprop: $o).
% 0.29/0.38  thf(decl_202, type, ex1E1: $o).
% 0.29/0.38  thf(decl_203, type, ex1I: $o).
% 0.29/0.38  thf(decl_204, type, ex1I2: $o).
% 0.29/0.38  thf(decl_205, type, singletonsuniq: $o).
% 0.29/0.38  thf(decl_210, type, setukpairinjL1: $o).
% 0.29/0.38  thf(decl_211, type, kfstsingleton: $o).
% 0.29/0.38  thf(decl_212, type, theprop: $o).
% 0.29/0.38  thf(decl_214, type, kfstpairEq: $o).
% 0.29/0.38  thf(decl_215, type, cartprodfstin: $o).
% 0.29/0.38  thf(decl_216, type, setukpairinjL2: $o).
% 0.29/0.38  thf(decl_217, type, setukpairinjL: $o).
% 0.29/0.38  thf(decl_218, type, setukpairinjR11: $o).
% 0.29/0.38  thf(decl_219, type, setukpairinjR12: $o).
% 0.29/0.38  thf(decl_220, type, setukpairinjR1: $o).
% 0.29/0.38  thf(decl_221, type, upairequniteq: $o).
% 0.29/0.38  thf(decl_222, type, setukpairinjR2: $o).
% 0.29/0.38  thf(decl_223, type, setukpairinjR: $o).
% 0.29/0.38  thf(decl_224, type, ksndsingleton: $o).
% 0.29/0.38  thf(decl_226, type, ksndpairEq: $o).
% 0.29/0.38  thf(decl_227, type, kpairsurjEq: $o).
% 0.29/0.38  thf(decl_228, type, cartprodsndin: $o).
% 0.29/0.38  thf(decl_229, type, cartprodpairmemEL: $o).
% 0.29/0.38  thf(decl_230, type, cartprodpairmemER: $o).
% 0.29/0.38  thf(decl_231, type, cartprodmempaircEq: $o).
% 0.29/0.38  thf(decl_232, type, cartprodfstpairEq: $o).
% 0.29/0.38  thf(decl_233, type, cartprodsndpairEq: $o).
% 0.29/0.38  thf(decl_234, type, cartprodpairsurjEq: $o).
% 0.29/0.38  thf(decl_237, type, dpsetconstrI: $o).
% 0.29/0.38  thf(decl_238, type, dpsetconstrSub: $o).
% 0.29/0.38  thf(decl_239, type, setOfPairsIsBReln: $o).
% 0.29/0.38  thf(decl_240, type, dpsetconstrERa: $o).
% 0.29/0.38  thf(decl_241, type, dpsetconstrEL1: $o).
% 0.29/0.38  thf(decl_242, type, dpsetconstrEL2: $o).
% 0.29/0.38  thf(decl_243, type, dpsetconstrER: $o).
% 0.29/0.38  thf(decl_246, type, funcImageSingleton: $o).
% 0.29/0.38  thf(decl_247, type, apProp: $o).
% 0.29/0.38  thf(decl_249, type, app: $o).
% 0.29/0.38  thf(decl_250, type, infuncsetfunc: $o).
% 0.29/0.38  thf(decl_251, type, ap2p: $o).
% 0.29/0.38  thf(decl_252, type, funcinfuncset: $o).
% 0.29/0.38  thf(decl_253, type, lamProp: $o).
% 0.29/0.38  thf(decl_255, type, lamp: $o).
% 0.29/0.38  thf(decl_256, type, lam2p: $o).
% 0.29/0.38  thf(decl_257, type, brelnall1: $o).
% 0.29/0.38  thf(decl_258, type, brelnall2: $o).
% 0.29/0.38  thf(decl_259, type, ex1E2: $o).
% 0.29/0.38  thf(decl_260, type, funcGraphProp1: $o).
% 0.29/0.38  thf(decl_261, type, funcGraphProp3: $o).
% 0.29/0.38  thf(decl_262, type, funcGraphProp2: $o).
% 0.29/0.38  thf(decl_263, type, funcextLem: $o).
% 0.29/0.38  thf(decl_264, type, funcGraphProp4: $o).
% 0.29/0.38  thf(decl_265, type, subbreln: $o).
% 0.29/0.38  thf(decl_266, type, eqbreln: $o).
% 0.29/0.38  thf(decl_267, type, funcext: $o).
% 0.29/0.38  thf(decl_268, type, funcext2: $o).
% 0.29/0.38  thf(decl_269, type, ap2apEq1: $o).
% 0.29/0.38  thf(decl_270, type, ap2apEq2: $o).
% 0.29/0.38  thf(decl_271, type, beta1: $o).
% 0.29/0.38  thf(decl_272, type, eta1: $o).
% 0.29/0.38  thf(decl_273, type, lam2lamEq: $o).
% 0.29/0.38  thf(decl_274, type, beta2: $o).
% 0.29/0.38  thf(decl_275, type, eta2: $o).
% 0.29/0.38  thf(decl_276, type, iffalseProp1: $o).
% 0.29/0.38  thf(decl_277, type, iffalseProp2: $o).
% 0.29/0.38  thf(decl_278, type, iftrueProp1: $o).
% 0.29/0.38  thf(decl_279, type, iftrueProp2: $o).
% 0.29/0.38  thf(decl_280, type, ifSingleton: $o).
% 0.29/0.38  thf(decl_282, type, ifp: $o).
% 0.29/0.38  thf(decl_283, type, theeq: $o).
% 0.29/0.38  thf(decl_284, type, iftrue: $o).
% 0.29/0.38  thf(decl_285, type, iffalse: $o).
% 0.29/0.38  thf(decl_286, type, iftrueorfalse: $o).
% 0.29/0.38  thf(decl_287, type, binintersectT_lem: $o).
% 0.29/0.38  thf(decl_288, type, binunionT_lem: $o).
% 0.29/0.38  thf(decl_289, type, powersetT_lem: $o).
% 0.29/0.38  thf(decl_290, type, setminusT_lem: $o).
% 0.29/0.38  thf(decl_291, type, complementT_lem: $o).
% 0.29/0.38  thf(decl_292, type, setextT: $o).
% 0.29/0.38  thf(decl_293, type, subsetTI: $o).
% 0.29/0.38  thf(decl_294, type, powersetTI1: $o).
% 0.29/0.38  thf(decl_295, type, powersetTE1: $o).
% 0.29/0.38  thf(decl_296, type, complementTI1: $o).
% 0.29/0.38  thf(decl_297, type, complementTE1: $o).
% 0.29/0.38  thf(decl_298, type, binintersectTELcontra: $o).
% 0.29/0.38  thf(decl_299, type, binintersectTERcontra: $o).
% 0.29/0.38  thf(decl_300, type, contrasubsetT: $o).
% 0.29/0.38  thf(decl_301, type, contrasubsetT1: $o).
% 0.29/0.38  thf(decl_302, type, contrasubsetT2: $o).
% 0.29/0.38  thf(decl_303, type, contrasubsetT3: $o).
% 0.29/0.38  thf(decl_304, type, doubleComplementI1: $o).
% 0.29/0.38  thf(decl_305, type, doubleComplementE1: $o).
% 0.29/0.38  thf(decl_306, type, doubleComplementSub1: $o).
% 0.29/0.38  thf(decl_307, type, doubleComplementSub2: $o).
% 0.29/0.38  thf(decl_308, type, doubleComplementEq: $o).
% 0.29/0.38  thf(decl_309, type, complementTnotintersectT: $o).
% 0.29/0.38  thf(decl_310, type, complementImpComplementIntersect: $o).
% 0.29/0.38  thf(decl_311, type, complementSubsetComplementIntersect: $o).
% 0.29/0.38  thf(decl_312, type, complementInPowersetComplementIntersect: $o).
% 0.29/0.38  thf(decl_313, type, contraSubsetComplement: $o).
% 0.29/0.38  thf(decl_314, type, complementTcontraSubset: $o).
% 0.29/0.38  thf(decl_315, type, binunionTILcontra: $o).
% 0.29/0.38  thf(decl_316, type, binunionTIRcontra: $o).
% 0.29/0.38  thf(decl_317, type, inIntersectImpInUnion: $o).
% 0.29/0.38  thf(decl_318, type, inIntersectImpInUnion2: $o).
% 0.29/0.38  thf(decl_319, type, inIntersectImpInIntersectUnions: $o).
% 0.29/0.38  thf(decl_320, type, intersectInPowersetIntersectUnions: $o).
% 0.29/0.38  thf(decl_321, type, inComplementUnionImpNotIn1: $o).
% 0.29/0.38  thf(decl_322, type, inComplementUnionImpInComplement1: $o).
% 0.29/0.38  thf(decl_323, type, binunionTE: $o).
% 0.29/0.38  thf(decl_324, type, binunionTEcontra: $o).
% 0.29/0.38  thf(decl_325, type, demorgan2a1: $o).
% 0.29/0.38  thf(decl_326, type, complementUnionInPowersetComplement: $o).
% 0.29/0.38  thf(decl_327, type, demorgan2a2: $o).
% 0.29/0.38  thf(decl_328, type, demorgan1a: $o).
% 0.29/0.38  thf(decl_329, type, demorgan1b: $o).
% 0.29/0.38  thf(decl_330, type, demorgan1: $o).
% 0.29/0.38  thf(decl_331, type, demorgan2a: $o).
% 0.29/0.38  thf(decl_332, type, demorgan2b2: $o).
% 0.29/0.38  thf(decl_333, type, demorgan2b: $o).
% 0.29/0.38  thf(decl_334, type, demorgan2: $o).
% 0.29/0.38  thf(decl_335, type, woz13rule0: $o).
% 0.29/0.38  thf(decl_336, type, woz13rule1: $o).
% 0.29/0.38  thf(decl_337, type, woz13rule2: $o).
% 0.29/0.38  thf(decl_338, type, woz13rule3: $o).
% 0.29/0.38  thf(decl_339, type, woz13rule4: $o).
% 0.29/0.38  thf(decl_340, type, woz1_1: $o).
% 0.29/0.38  thf(decl_341, type, woz1_2: $o).
% 0.29/0.38  thf(decl_342, type, woz1_3: $o).
% 0.29/0.38  thf(decl_343, type, woz1_4: $o).
% 0.29/0.38  thf(decl_344, type, woz1_5: $o).
% 0.29/0.38  thf(decl_346, type, breln1all2: $o).
% 0.29/0.38  thf(decl_348, type, breln1SetBreln1: $o).
% 0.29/0.38  thf(decl_355, type, choice2fnsingleton: $o).
% 0.29/0.38  thf(decl_356, type, setOfPairsIsBReln1: $o).
% 0.29/0.38  thf(decl_357, type, breln1all1: $o).
% 0.29/0.38  thf(decl_358, type, subbreln1: $o).
% 0.29/0.38  thf(decl_359, type, eqbreln1: $o).
% 0.29/0.38  thf(decl_361, type, breln1invprop: $o).
% 0.29/0.38  thf(decl_362, type, breln1invI: $o).
% 0.29/0.38  thf(decl_363, type, breln1invE: $o).
% 0.29/0.38  thf(decl_365, type, breln1compprop: $o).
% 0.29/0.38  thf(decl_366, type, breln1compI: $o).
% 0.29/0.38  thf(decl_367, type, breln1compE: $o).
% 0.29/0.38  thf(decl_368, type, breln1compEex: $o).
% 0.29/0.38  thf(decl_369, type, breln1unionprop: $o).
% 0.29/0.38  thf(decl_370, type, breln1unionIL: $o).
% 0.29/0.38  thf(decl_371, type, breln1unionIR: $o).
% 0.29/0.38  thf(decl_372, type, breln1unionI: $o).
% 0.29/0.38  thf(decl_373, type, breln1unionE: $o).
% 0.29/0.38  thf(decl_374, type, breln1unionEcases: $o).
% 0.29/0.38  thf(decl_375, type, breln1unionCommutes: $o).
% 0.29/0.38  thf(decl_376, type, woz2Ex: $o).
% 0.29/0.38  thf(decl_377, type, woz2W: $o).
% 0.29/0.38  thf(decl_378, type, woz2A: $o).
% 0.29/0.38  thf(decl_379, type, woz2B: $o).
% 0.29/0.38  thf(decl_380, type, image1Ex: $o).
% 0.29/0.38  thf(decl_381, type, image1Ex1: $o).
% 0.29/0.38  thf(decl_383, type, image1Equiv: $o).
% 0.29/0.38  thf(decl_384, type, image1E: $o).
% 0.29/0.38  thf(decl_385, type, image1I: $o).
% 0.29/0.38  thf(decl_388, type, injFuncInInjFuncSet: $o).
% 0.29/0.38  thf(decl_389, type, injFuncSetFuncIn: $o).
% 0.29/0.38  thf(decl_390, type, injFuncSetFuncInj: $o).
% 0.29/0.38  thf(decl_393, type, surjFuncSetFuncIn: $o).
% 0.29/0.38  thf(decl_394, type, surjFuncSetFuncSurj: $o).
% 0.29/0.38  thf(decl_395, type, leftInvIsSurj: $o).
% 0.29/0.38  thf(decl_396, type, surjCantorThm: $o).
% 0.29/0.38  thf(decl_397, type, foundation2: $o).
% 0.29/0.38  thf(decl_398, type, notinself: $o).
% 0.29/0.38  thf(decl_399, type, notinself2: $o).
% 0.29/0.38  thf(decl_401, type, omegaSp: $o).
% 0.29/0.38  thf(decl_402, type, omegaSclos: $o).
% 0.29/0.38  thf(decl_403, type, peano0notS: $o).
% 0.29/0.38  thf(decl_407, type, peanoSinj: $o).
% 0.29/0.38  thf(decl_409, type, transitiveset: $i > $o).
% 0.29/0.38  thf(decl_410, type, transitivesetOp1: $o).
% 0.29/0.38  thf(decl_411, type, binintTransitive: $o).
% 0.29/0.38  thf(decl_412, type, transitivesetOp2: $o).
% 0.29/0.38  thf(decl_413, type, setunionTransitive: $o).
% 0.29/0.38  thf(decl_414, type, stricttotalorderedByIn: $i > $o).
% 0.29/0.38  thf(decl_415, type, wellorderedByIn: $i > $o).
% 0.29/0.38  thf(decl_416, type, ordinal: $i > $o).
% 0.29/0.38  thf(decl_418, type, ordinalMinLem1: $o).
% 0.29/0.38  thf(decl_419, type, ordinalTransSet: $o).
% 0.29/0.38  thf(decl_420, type, ordinalTransSet1: $o).
% 0.29/0.38  thf(decl_421, type, setunionOrdinalLem1: $o).
% 0.29/0.38  thf(decl_423, type, emptysetOrdinal: $o).
% 0.29/0.38  thf(decl_424, type, ordinalIrrefl: $o).
% 0.29/0.38  thf(decl_425, type, epred1_1: $i > $o).
% 0.29/0.38  thf(decl_426, type, epred2_1: $i > $o).
% 0.29/0.38  thf(decl_427, type, epred3_1: $i > $o).
% 0.29/0.38  thf(decl_428, type, epred4_1: $i > $o).
% 0.29/0.38  thf(decl_429, type, epred5_1: $i > $o).
% 0.29/0.38  thf(decl_430, type, epred6_0: $o).
% 0.29/0.38  thf(decl_431, type, epred7_1: $i > $o).
% 0.29/0.38  thf(decl_432, type, epred8_1: $i > $o).
% 0.29/0.38  thf(decl_433, type, esk1_1: $i > $i).
% 0.29/0.38  thf(decl_434, type, esk2_1: $i > $i).
% 0.29/0.38  thf(decl_435, type, esk3_1: $i > $i).
% 0.29/0.38  thf(decl_436, type, esk4_1: $i > $i).
% 0.29/0.38  thf(decl_437, type, esk5_1: $i > $i).
% 0.29/0.38  thf(decl_438, type, esk6_1: $i > $i).
% 0.29/0.38  thf(decl_439, type, esk7_2: $i > $i > $i).
% 0.29/0.38  thf(decl_440, type, esk8_2: $i > $i > $i).
% 0.29/0.38  thf(decl_441, type, esk9_2: $i > $i > $i).
% 0.29/0.38  thf(decl_442, type, esk10_3: $i > $i > $i > $i).
% 0.29/0.38  thf(decl_443, type, esk11_1: $i > $i).
% 0.29/0.38  thf(decl_444, type, esk12_1: $i > $i).
% 0.29/0.38  thf(decl_445, type, esk13_2: $i > $i > $i).
% 0.29/0.38  thf(decl_446, type, esk14_1: $i > $i).
% 0.29/0.38  thf(decl_447, type, esk15_1: $i > $i).
% 0.29/0.38  thf(decl_448, type, esk16_2: $i > $i > $i).
% 0.29/0.38  thf(decl_449, type, esk17_1: $i > $i).
% 0.29/0.38  thf(decl_450, type, esk18_1: $i > $i).
% 0.29/0.38  thf(decl_451, type, esk19_1: $i > $i).
% 0.29/0.38  thf(decl_452, type, esk20_2: $i > $i > $i).
% 0.29/0.38  thf(decl_453, type, esk21_1: $i > $i).
% 0.29/0.38  thf(decl_454, type, esk22_1: $i > $i).
% 0.29/0.38  thf(decl_455, type, esk23_2: $i > $i > $i).
% 0.29/0.38  thf(decl_456, type, esk24_0: $i).
% 0.29/0.38  thf(decl_488, type, esk56_2: $i > $i > $i).
% 0.29/0.38  thf(wellorderedByIn, axiom, ((wellorderedByIn)=(^[X4:$i]:((((stricttotalorderedByIn @ X4))&(![X21:$i]:((((in @ X21 @ (powerset @ X4)))=>((((nonempty @ X21))=>(?[X2:$i]:((((in @ X2 @ X21))&(![X48:$i]:((((in @ X48 @ X21))=>(((((X2)=(X48)))|((in @ X2 @ X48))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', wellorderedByIn)).
% 0.29/0.38  thf(stricttotalorderedByIn, axiom, ((stricttotalorderedByIn)=(^[X4:$i]:(((((![X2:$i]:((((in @ X2 @ X4))=>(![X21:$i]:((((in @ X21 @ X4))=>(![X48:$i]:((((in @ X48 @ X4))=>((((((in @ X2 @ X21))&((in @ X21 @ X48))))=>((in @ X2 @ X48)))))))))))))&(![X21:$i]:((((in @ X21 @ X4))=>(![X48:$i]:((((in @ X48 @ X4))=>(((((((X21)=(X48)))|((in @ X21 @ X48))))|((in @ X48 @ X21))))))))))))&(![X21:$i]:((((in @ X21 @ X4))=>(~((in @ X21 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', stricttotalorderedByIn)).
% 0.29/0.38  thf(ordinal, axiom, ((ordinal)=(^[X2:$i]:((((transitiveset @ X2))&((wellorderedByIn @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', ordinal)).
% 0.29/0.38  thf(ordinalIrrefl2, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((woz1_3)=>((woz1_4)=>((woz1_5)=>((breln1all2)=>((breln1SetBreln1)=>((choice2fnsingleton)=>((setOfPairsIsBReln1)=>((breln1all1)=>((subbreln1)=>((eqbreln1)=>((breln1invprop)=>((breln1invI)=>((breln1invE)=>((breln1compprop)=>((breln1compI)=>((breln1compE)=>((breln1compEex)=>((breln1unionprop)=>((breln1unionIL)=>((breln1unionIR)=>((breln1unionI)=>((breln1unionE)=>((breln1unionEcases)=>((breln1unionCommutes)=>((woz2Ex)=>((woz2W)=>((woz2A)=>((woz2B)=>((image1Ex)=>((image1Ex1)=>((image1Equiv)=>((image1E)=>((image1I)=>((injFuncInInjFuncSet)=>((injFuncSetFuncIn)=>((injFuncSetFuncInj)=>((surjFuncSetFuncIn)=>((surjFuncSetFuncSurj)=>((leftInvIsSurj)=>((surjCantorThm)=>((foundation2)=>((notinself)=>((notinself2)=>((omegaSp)=>((omegaSclos)=>((peano0notS)=>((peanoSinj)=>((transitivesetOp1)=>((binintTransitive)=>((transitivesetOp2)=>((setunionTransitive)=>((ordinalMinLem1)=>((ordinalTransSet)=>((ordinalTransSet1)=>((setunionOrdinalLem1)=>((emptysetOrdinal)=>((ordinalIrrefl)=>![X21:$i]:(((ordinal @ X21)=>~((in @ X21 @ X21)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', ordinalIrrefl2)).
% 0.29/0.38  thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', nonemptyI)).
% 0.29/0.38  thf(ordinalIrrefl, axiom, ((ordinalIrrefl)<=>![X21:$i]:(((ordinal @ X21)=>![X4:$i]:(((in @ X4 @ X21)=>~((in @ X4 @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', ordinalIrrefl)).
% 0.29/0.38  thf(emptysetOrdinal, axiom, ((emptysetOrdinal)<=>(ordinal @ emptyset)), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', emptysetOrdinal)).
% 0.29/0.38  thf(setunionOrdinalLem1, axiom, ((setunionOrdinalLem1)<=>![X21:$i]:((![X2:$i]:(((in @ X2 @ X21)=>(ordinal @ X2)))=>(transitiveset @ (setunion @ X21))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', setunionOrdinalLem1)).
% 0.29/0.38  thf(ordinalTransSet1, axiom, ((ordinalTransSet1)<=>![X21:$i]:(((ordinal @ X21)=>![X4:$i]:(((in @ X4 @ X21)=>(subset @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', ordinalTransSet1)).
% 0.29/0.38  thf(ordinalTransSet, axiom, ((ordinalTransSet)<=>![X21:$i]:(((ordinal @ X21)=>![X2:$i, X4:$i]:(((in @ X4 @ X21)=>((in @ X2 @ X4)=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', ordinalTransSet)).
% 0.29/0.38  thf(ordinalMinLem1, axiom, ((ordinalMinLem1)<=>![X21:$i]:(((ordinal @ X21)=>![X48:$i]:(((ordinal @ X48)=>(transitiveset @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', ordinalMinLem1)).
% 0.29/0.38  thf(foundation2, axiom, ((foundation2)<=>![X4:$i]:(((nonempty @ X4)=>?[X21:$i]:(((in @ X21 @ X4)&((binintersect @ X21 @ X4)=(emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', foundation2)).
% 0.29/0.38  thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', nonemptyImpWitness)).
% 0.29/0.38  thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', nonemptyI1)).
% 0.29/0.38  thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', nonemptyE1)).
% 0.29/0.38  thf(setunionTransitive, axiom, ((setunionTransitive)<=>![X21:$i]:((![X2:$i]:(((in @ X2 @ X21)=>(transitiveset @ X2)))=>(transitiveset @ (setunion @ X21))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', setunionTransitive)).
% 0.29/0.38  thf(transitivesetOp2, axiom, ((transitivesetOp2)<=>![X21:$i]:(((transitiveset @ X21)=>![X4:$i, X2:$i]:(((in @ X4 @ X21)=>((in @ X2 @ X4)=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', transitivesetOp2)).
% 0.29/0.38  thf(binintTransitive, axiom, ((binintTransitive)<=>![X21:$i]:(((transitiveset @ X21)=>![X48:$i]:(((transitiveset @ X48)=>(transitiveset @ (binintersect @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', binintTransitive)).
% 0.29/0.38  thf(transitivesetOp1, axiom, ((transitivesetOp1)<=>![X21:$i]:(((transitiveset @ X21)=>![X4:$i]:(((in @ X4 @ X21)=>(subset @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.OMWL365YEJ/E---3.1_170285.p', transitivesetOp1)).
% 0.29/0.38  thf(c_0_19, plain, ((wellorderedByIn)=(^[Z0:$i]:((((((((![X95:$i]:((((in @ X95 @ Z0))=>(![X96:$i]:((((in @ X96 @ Z0))=>(![X97:$i]:((((in @ X97 @ Z0))=>((((((in @ X95 @ X96))&((in @ X96 @ X97))))=>((in @ X95 @ X97)))))))))))))&(![X98:$i]:((((in @ X98 @ Z0))=>(![X99:$i]:((((in @ X99 @ Z0))=>(((((((X98)=(X99)))|((in @ X98 @ X99))))|((in @ X99 @ X98))))))))))))&(![X100:$i]:((((in @ X100 @ Z0))=>(~((in @ X100 @ X100)))))))))&(![X21:$i]:((((in @ X21 @ (powerset @ Z0)))=>((((nonempty @ X21))=>(?[X2:$i]:((((in @ X2 @ X21))&(![X48:$i]:((((in @ X48 @ X21))=>(((((X2)=(X48)))|((in @ X2 @ X48))))))))))))))))))), inference(fof_simplification,[status(thm)],[wellorderedByIn])).
% 0.29/0.38  thf(c_0_20, plain, ((stricttotalorderedByIn)=(^[Z0:$i]:(((((![X2:$i]:((((in @ X2 @ Z0))=>(![X21:$i]:((((in @ X21 @ Z0))=>(![X48:$i]:((((in @ X48 @ Z0))=>((((((in @ X2 @ X21))&((in @ X21 @ X48))))=>((in @ X2 @ X48)))))))))))))&(![X21:$i]:((((in @ X21 @ Z0))=>(![X48:$i]:((((in @ X48 @ Z0))=>(((((((X21)=(X48)))|((in @ X21 @ X48))))|((in @ X48 @ X21))))))))))))&(![X21:$i]:((((in @ X21 @ Z0))=>(~((in @ X21 @ X21)))))))))), inference(fof_simplification,[status(thm)],[stricttotalorderedByIn])).
% 0.29/0.38  thf(c_0_21, plain, ((ordinal)=(^[Z0:$i]:((((transitiveset @ Z0))&(((((((((![X101:$i]:((((in @ X101 @ Z0))=>(![X102:$i]:((((in @ X102 @ Z0))=>(![X103:$i]:((((in @ X103 @ Z0))=>((((((in @ X101 @ X102))&((in @ X102 @ X103))))=>((in @ X101 @ X103)))))))))))))&(![X104:$i]:((((in @ X104 @ Z0))=>(![X105:$i]:((((in @ X105 @ Z0))=>(((((((X104)=(X105)))|((in @ X104 @ X105))))|((in @ X105 @ X104))))))))))))&(![X106:$i]:((((in @ X106 @ Z0))=>(~((in @ X106 @ X106)))))))))&(![X107:$i]:((((in @ X107 @ (powerset @ Z0)))=>((((nonempty @ X107))=>(?[X108:$i]:((((in @ X108 @ X107))&(![X109:$i]:((((in @ X109 @ X107))=>(((((X108)=(X109)))|((in @ X108 @ X109)))))))))))))))))))))), inference(fof_simplification,[status(thm)],[ordinal])).
% 0.29/0.38  thf(c_0_22, plain, ((wellorderedByIn)=(^[Z0:$i]:((((((((![X95:$i]:((((in @ X95 @ Z0))=>(![X96:$i]:((((in @ X96 @ Z0))=>(![X97:$i]:((((in @ X97 @ Z0))=>((((((in @ X95 @ X96))&((in @ X96 @ X97))))=>((in @ X95 @ X97)))))))))))))&(![X98:$i]:((((in @ X98 @ Z0))=>(![X99:$i]:((((in @ X99 @ Z0))=>(((((((X98)=(X99)))|((in @ X98 @ X99))))|((in @ X99 @ X98))))))))))))&(![X100:$i]:((((in @ X100 @ Z0))=>(~((in @ X100 @ X100)))))))))&(![X21:$i]:((((in @ X21 @ (powerset @ Z0)))=>((((nonempty @ X21))=>(?[X2:$i]:((((in @ X2 @ X21))&(![X48:$i]:((((in @ X48 @ X21))=>(((((X2)=(X48)))|((in @ X2 @ X48))))))))))))))))))), inference(apply_def,[status(thm)],[c_0_19, c_0_20])).
% 0.29/0.38  thf(c_0_23, plain, ((ordinal)=(^[Z0:$i]:((((transitiveset @ Z0))&(((((((((![X101:$i]:((((in @ X101 @ Z0))=>(![X102:$i]:((((in @ X102 @ Z0))=>(![X103:$i]:((((in @ X103 @ Z0))=>((((((in @ X101 @ X102))&((in @ X102 @ X103))))=>((in @ X101 @ X103)))))))))))))&(![X104:$i]:((((in @ X104 @ Z0))=>(![X105:$i]:((((in @ X105 @ Z0))=>(((((((X104)=(X105)))|((in @ X104 @ X105))))|((in @ X105 @ X104))))))))))))&(![X106:$i]:((((in @ X106 @ Z0))=>(~((in @ X106 @ X106)))))))))&(![X107:$i]:((((in @ X107 @ (powerset @ Z0)))=>((((nonempty @ X107))=>(?[X108:$i]:((((in @ X108 @ X107))&(![X109:$i]:((((in @ X109 @ X107))=>(((((X108)=(X109)))|((in @ X108 @ X109)))))))))))))))))))))), inference(apply_def,[status(thm)],[c_0_21, c_0_22])).
% 0.29/0.38  thf(c_0_24, plain, ![X21:$i]:(((epred8_1 @ X21)<=>((transitiveset @ X21)&(((![X267:$i]:(((in @ X267 @ X21)=>![X268:$i]:(((in @ X268 @ X21)=>![X269:$i]:(((in @ X269 @ X21)=>(((in @ X267 @ X268)&(in @ X268 @ X269))=>(in @ X267 @ X269))))))))&![X270:$i]:(((in @ X270 @ X21)=>![X271:$i]:(((in @ X271 @ X21)=>(((X270)=(X271))|(in @ X270 @ X271)|(in @ X271 @ X270)))))))&![X272:$i]:(((in @ X272 @ X21)=>~(in @ X272 @ X272))))&![X273:$i]:(((in @ X273 @ (powerset @ X21))=>((nonempty @ X273)=>?[X274:$i]:(((in @ X274 @ X273)&![X275:$i]:(((in @ X275 @ X273)=>(((X274)=(X275))|(in @ X274 @ X275))))))))))))), introduced(definition)).
% 0.29/0.38  thf(c_0_25, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((woz1_3)=>((woz1_4)=>((woz1_5)=>((breln1all2)=>((breln1SetBreln1)=>((choice2fnsingleton)=>((setOfPairsIsBReln1)=>((breln1all1)=>((subbreln1)=>((eqbreln1)=>((breln1invprop)=>((breln1invI)=>((breln1invE)=>((breln1compprop)=>((breln1compI)=>((breln1compE)=>((breln1compEex)=>((breln1unionprop)=>((breln1unionIL)=>((breln1unionIR)=>((breln1unionI)=>((breln1unionE)=>((breln1unionEcases)=>((breln1unionCommutes)=>((woz2Ex)=>((woz2W)=>((woz2A)=>((woz2B)=>((image1Ex)=>((image1Ex1)=>((image1Equiv)=>((image1E)=>((image1I)=>((injFuncInInjFuncSet)=>((injFuncSetFuncIn)=>((injFuncSetFuncInj)=>((surjFuncSetFuncIn)=>((surjFuncSetFuncSurj)=>((leftInvIsSurj)=>((surjCantorThm)=>((foundation2)=>((notinself)=>((notinself2)=>((omegaSp)=>((omegaSclos)=>((peano0notS)=>((peanoSinj)=>((transitivesetOp1)=>((binintTransitive)=>((transitivesetOp2)=>((setunionTransitive)=>((ordinalMinLem1)=>((ordinalTransSet)=>((ordinalTransSet1)=>((setunionOrdinalLem1)=>((emptysetOrdinal)=>((ordinalIrrefl)=>![X21:$i]:(((ordinal @ X21)=>~((in @ X21 @ X21))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[ordinalIrrefl2])).
% 0.29/0.38  thf(c_0_26, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.29/0.38  thf(c_0_27, axiom, ((ordinalIrrefl)=(![X21:$i]:(((((((transitiveset @ X21))&(((((((((![X164:$i]:((((in @ X164 @ X21))=>(![X165:$i]:((((in @ X165 @ X21))=>(![X166:$i]:((((in @ X166 @ X21))=>((((((in @ X164 @ X165))&((in @ X165 @ X166))))=>((in @ X164 @ X166)))))))))))))&(![X167:$i]:((((in @ X167 @ X21))=>(![X168:$i]:((((in @ X168 @ X21))=>(((((((X167)=(X168)))|((in @ X167 @ X168))))|((in @ X168 @ X167))))))))))))&(![X169:$i]:((((in @ X169 @ X21))=>(~((in @ X169 @ X169)))))))))&(![X170:$i]:((((in @ X170 @ (powerset @ X21)))=>((((nonempty @ X170))=>(?[X171:$i]:((((in @ X171 @ X170))&(![X172:$i]:((((in @ X172 @ X170))=>(((((X171)=(X172)))|((in @ X171 @ X172)))))))))))))))))))))=>(![X4:$i]:((((in @ X4 @ X21))=>(~((in @ X4 @ X4)))))))))), inference(apply_def,[status(thm)],[ordinalIrrefl, c_0_23])).
% 0.29/0.38  thf(c_0_28, axiom, ((emptysetOrdinal)=(((((transitiveset @ emptyset))&(((((((((![X155:$i]:((((in @ X155 @ emptyset))=>(![X156:$i]:((((in @ X156 @ emptyset))=>(![X157:$i]:((((in @ X157 @ emptyset))=>((((((in @ X155 @ X156))&((in @ X156 @ X157))))=>((in @ X155 @ X157)))))))))))))&(![X158:$i]:((((in @ X158 @ emptyset))=>(![X159:$i]:((((in @ X159 @ emptyset))=>(((((((X158)=(X159)))|((in @ X158 @ X159))))|((in @ X159 @ X158))))))))))))&(![X160:$i]:((((in @ X160 @ emptyset))=>(~((in @ X160 @ X160)))))))))&(![X161:$i]:((((in @ X161 @ (powerset @ emptyset)))=>((((nonempty @ X161))=>(?[X162:$i]:((((in @ X162 @ X161))&(![X163:$i]:((((in @ X163 @ X161))=>(((((X162)=(X163)))|((in @ X162 @ X163)))))))))))))))))))))), inference(apply_def,[status(thm)],[emptysetOrdinal, c_0_23])).
% 0.29/0.38  thf(c_0_29, axiom, ((setunionOrdinalLem1)=(![X21:$i]:(((![X2:$i]:((((in @ X2 @ X21))=>(((((transitiveset @ X2))&(((((((((![X146:$i]:((((in @ X146 @ X2))=>(![X147:$i]:((((in @ X147 @ X2))=>(![X148:$i]:((((in @ X148 @ X2))=>((((((in @ X146 @ X147))&((in @ X147 @ X148))))=>((in @ X146 @ X148)))))))))))))&(![X149:$i]:((((in @ X149 @ X2))=>(![X150:$i]:((((in @ X150 @ X2))=>(((((((X149)=(X150)))|((in @ X149 @ X150))))|((in @ X150 @ X149))))))))))))&(![X151:$i]:((((in @ X151 @ X2))=>(~((in @ X151 @ X151)))))))))&(![X152:$i]:((((in @ X152 @ (powerset @ X2)))=>((((nonempty @ X152))=>(?[X153:$i]:((((in @ X153 @ X152))&(![X154:$i]:((((in @ X154 @ X152))=>(((((X153)=(X154)))|((in @ X153 @ X154))))))))))))))))))))))))=>((transitiveset @ (setunion @ X21))))))), inference(apply_def,[status(thm)],[setunionOrdinalLem1, c_0_23])).
% 0.29/0.38  thf(c_0_30, axiom, ((ordinalTransSet1)=(![X21:$i]:(((((((transitiveset @ X21))&(((((((((![X137:$i]:((((in @ X137 @ X21))=>(![X138:$i]:((((in @ X138 @ X21))=>(![X139:$i]:((((in @ X139 @ X21))=>((((((in @ X137 @ X138))&((in @ X138 @ X139))))=>((in @ X137 @ X139)))))))))))))&(![X140:$i]:((((in @ X140 @ X21))=>(![X141:$i]:((((in @ X141 @ X21))=>(((((((X140)=(X141)))|((in @ X140 @ X141))))|((in @ X141 @ X140))))))))))))&(![X142:$i]:((((in @ X142 @ X21))=>(~((in @ X142 @ X142)))))))))&(![X143:$i]:((((in @ X143 @ (powerset @ X21)))=>((((nonempty @ X143))=>(?[X144:$i]:((((in @ X144 @ X143))&(![X145:$i]:((((in @ X145 @ X143))=>(((((X144)=(X145)))|((in @ X144 @ X145)))))))))))))))))))))=>(![X4:$i]:((((in @ X4 @ X21))=>((subset @ X4 @ X21))))))))), inference(apply_def,[status(thm)],[ordinalTransSet1, c_0_23])).
% 0.29/0.38  thf(c_0_31, axiom, ((ordinalTransSet)=(![X21:$i]:(((((((transitiveset @ X21))&(((((((((![X128:$i]:((((in @ X128 @ X21))=>(![X129:$i]:((((in @ X129 @ X21))=>(![X130:$i]:((((in @ X130 @ X21))=>((((((in @ X128 @ X129))&((in @ X129 @ X130))))=>((in @ X128 @ X130)))))))))))))&(![X131:$i]:((((in @ X131 @ X21))=>(![X132:$i]:((((in @ X132 @ X21))=>(((((((X131)=(X132)))|((in @ X131 @ X132))))|((in @ X132 @ X131))))))))))))&(![X133:$i]:((((in @ X133 @ X21))=>(~((in @ X133 @ X133)))))))))&(![X134:$i]:((((in @ X134 @ (powerset @ X21)))=>((((nonempty @ X134))=>(?[X135:$i]:((((in @ X135 @ X134))&(![X136:$i]:((((in @ X136 @ X134))=>(((((X135)=(X136)))|((in @ X135 @ X136)))))))))))))))))))))=>(![X2:$i, X4:$i]:((((in @ X4 @ X21))=>((((in @ X2 @ X4))=>((in @ X2 @ X21))))))))))), inference(apply_def,[status(thm)],[ordinalTransSet, c_0_23])).
% 0.29/0.38  thf(c_0_32, axiom, ((ordinalMinLem1)=(![X21:$i]:(((((((transitiveset @ X21))&(((((((((![X110:$i]:((((in @ X110 @ X21))=>(![X111:$i]:((((in @ X111 @ X21))=>(![X112:$i]:((((in @ X112 @ X21))=>((((((in @ X110 @ X111))&((in @ X111 @ X112))))=>((in @ X110 @ X112)))))))))))))&(![X113:$i]:((((in @ X113 @ X21))=>(![X114:$i]:((((in @ X114 @ X21))=>(((((((X113)=(X114)))|((in @ X113 @ X114))))|((in @ X114 @ X113))))))))))))&(![X115:$i]:((((in @ X115 @ X21))=>(~((in @ X115 @ X115)))))))))&(![X116:$i]:((((in @ X116 @ (powerset @ X21)))=>((((nonempty @ X116))=>(?[X117:$i]:((((in @ X117 @ X116))&(![X118:$i]:((((in @ X118 @ X116))=>(((((X117)=(X118)))|((in @ X117 @ X118)))))))))))))))))))))=>(![X48:$i]:(((((((transitiveset @ X48))&(((((((((![X119:$i]:((((in @ X119 @ X48))=>(![X120:$i]:((((in @ X120 @ X48))=>(![X121:$i]:((((in @ X121 @ X48))=>((((((in @ X119 @ X120))&((in @ X120 @ X121))))=>((in @ X119 @ X121)))))))))))))&(![X122:$i]:((((in @ X122 @ X48))=>(![X123:$i]:((((in @ X123 @ X48))=>(((((((X122)=(X123)))|((in @ X122 @ X123))))|((in @ X123 @ X122))))))))))))&(![X124:$i]:((((in @ X124 @ X48))=>(~((in @ X124 @ X124)))))))))&(![X125:$i]:((((in @ X125 @ (powerset @ X48)))=>((((nonempty @ X125))=>(?[X126:$i]:((((in @ X126 @ X125))&(![X127:$i]:((((in @ X127 @ X125))=>(((((X126)=(X127)))|((in @ X126 @ X127)))))))))))))))))))))=>((transitiveset @ (binintersect @ X21 @ X48)))))))))), inference(apply_def,[status(thm)],[ordinalMinLem1, c_0_23])).
% 0.29/0.38  thf(c_0_33, plain, ![X193:$i]:(((epred1_1 @ X193)<=>(![X194:$i]:(((in @ X194 @ X193)=>![X195:$i]:(((in @ X195 @ X193)=>![X196:$i]:(((in @ X196 @ X193)=>(((in @ X194 @ X195)&(in @ X195 @ X196))=>(in @ X194 @ X196))))))))&![X197:$i]:(((in @ X197 @ X193)=>![X198:$i]:(((in @ X198 @ X193)=>(((X197)=(X198))|(in @ X197 @ X198)|(in @ X198 @ X197))))))))), introduced(definition)).
% 0.29/0.38  thf(c_0_34, plain, ![X203:$i]:(((epred2_1 @ X203)<=>(![X204:$i]:(((in @ X204 @ X203)=>![X205:$i]:(((in @ X205 @ X203)=>![X206:$i]:(((in @ X206 @ X203)=>(((in @ X204 @ X205)&(in @ X205 @ X206))=>(in @ X204 @ X206))))))))&![X207:$i]:(((in @ X207 @ X203)=>![X208:$i]:(((in @ X208 @ X203)=>(((X207)=(X208))|(in @ X207 @ X208)|(in @ X208 @ X207))))))))), introduced(definition)).
% 0.29/0.38  thf(c_0_35, plain, ![X213:$i]:(((epred3_1 @ X213)<=>(![X214:$i]:(((in @ X214 @ X213)=>![X215:$i]:(((in @ X215 @ X213)=>![X216:$i]:(((in @ X216 @ X213)=>(((in @ X214 @ X215)&(in @ X215 @ X216))=>(in @ X214 @ X216))))))))&![X217:$i]:(((in @ X217 @ X213)=>![X218:$i]:(((in @ X218 @ X213)=>(((X217)=(X218))|(in @ X217 @ X218)|(in @ X218 @ X217))))))))), introduced(definition)).
% 0.29/0.38  thf(c_0_36, plain, ![X225:$i]:(((epred4_1 @ X225)<=>(![X226:$i]:(((in @ X226 @ X225)=>![X227:$i]:(((in @ X227 @ X225)=>![X228:$i]:(((in @ X228 @ X225)=>(((in @ X226 @ X227)&(in @ X227 @ X228))=>(in @ X226 @ X228))))))))&![X229:$i]:(((in @ X229 @ X225)=>![X230:$i]:(((in @ X230 @ X225)=>(((X229)=(X230))|(in @ X229 @ X230)|(in @ X230 @ X229))))))))), introduced(definition)).
% 0.29/0.38  thf(c_0_37, plain, ![X237:$i]:(((epred5_1 @ X237)<=>(![X238:$i]:(((in @ X238 @ X237)=>![X239:$i]:(((in @ X239 @ X237)=>![X240:$i]:(((in @ X240 @ X237)=>(((in @ X238 @ X239)&(in @ X239 @ X240))=>(in @ X238 @ X240))))))))&![X241:$i]:(((in @ X241 @ X237)=>![X242:$i]:(((in @ X242 @ X237)=>(((X241)=(X242))|(in @ X241 @ X242)|(in @ X242 @ X241))))))))), introduced(definition)).
% 0.29/0.38  thf(c_0_38, plain, ((epred6_0)<=>((transitiveset @ emptyset)&(((![X247:$i]:(((in @ X247 @ emptyset)=>![X248:$i]:(((in @ X248 @ emptyset)=>![X249:$i]:(((in @ X249 @ emptyset)=>(((in @ X247 @ X248)&(in @ X248 @ X249))=>(in @ X247 @ X249))))))))&![X250:$i]:(((in @ X250 @ emptyset)=>![X251:$i]:(((in @ X251 @ emptyset)=>(((X250)=(X251))|(in @ X250 @ X251)|(in @ X251 @ X250)))))))&![X252:$i]:(((in @ X252 @ emptyset)=>~(in @ X252 @ X252))))&![X253:$i]:(((in @ X253 @ (powerset @ emptyset))=>((nonempty @ X253)=>?[X254:$i]:(((in @ X254 @ X253)&![X255:$i]:(((in @ X255 @ X253)=>(((X254)=(X255))|(in @ X254 @ X255)))))))))))), introduced(definition)).
% 0.29/0.38  thf(c_0_39, plain, ![X256:$i]:(((epred7_1 @ X256)<=>(![X257:$i]:(((in @ X257 @ X256)=>![X258:$i]:(((in @ X258 @ X256)=>![X259:$i]:(((in @ X259 @ X256)=>(((in @ X257 @ X258)&(in @ X258 @ X259))=>(in @ X257 @ X259))))))))&![X260:$i]:(((in @ X260 @ X256)=>![X261:$i]:(((in @ X261 @ X256)=>(((X260)=(X261))|(in @ X260 @ X261)|(in @ X261 @ X260))))))))), introduced(definition)).
% 0.29/0.38  thf(c_0_40, plain, ![X21:$i]:(((epred8_1 @ X21)=>((transitiveset @ X21)&(((![X267:$i]:(((in @ X267 @ X21)=>![X268:$i]:(((in @ X268 @ X21)=>![X269:$i]:(((in @ X269 @ X21)=>(((in @ X267 @ X268)&(in @ X268 @ X269))=>(in @ X267 @ X269))))))))&![X270:$i]:(((in @ X270 @ X21)=>![X271:$i]:(((in @ X271 @ X21)=>(((X270)=(X271))|(in @ X270 @ X271)|(in @ X271 @ X270)))))))&![X272:$i]:(((in @ X272 @ X21)=>~(in @ X272 @ X272))))&![X273:$i]:(((in @ X273 @ (powerset @ X21))=>((nonempty @ X273)=>?[X274:$i]:(((in @ X274 @ X273)&![X275:$i]:(((in @ X275 @ X273)=>(((X274)=(X275))|(in @ X274 @ X275))))))))))))), inference(split_equiv,[status(thm)],[c_0_24])).
% 0.29/0.38  thf(c_0_41, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>(![X173:$i]:(((nonempty @ X173)=>?[X174:$i]:((in @ X174 @ X173))))=>(![X175:$i, X176:$i > $o, X177:$i]:(((in @ X177 @ X175)=>((X176 @ X177)=>(nonempty @ (dsetconstr @ X175 @ X176)))))=>(![X178:$i]:((?[X179:$i]:((in @ X179 @ X178))=>(nonempty @ X178)))=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>(![X180:$i]:(((nonempty @ X180)=>?[X181:$i]:(((in @ X181 @ X180)&$true))))=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((woz1_3)=>((woz1_4)=>((woz1_5)=>((breln1all2)=>((breln1SetBreln1)=>((choice2fnsingleton)=>((setOfPairsIsBReln1)=>((breln1all1)=>((subbreln1)=>((eqbreln1)=>((breln1invprop)=>((breln1invI)=>((breln1invE)=>((breln1compprop)=>((breln1compI)=>((breln1compE)=>((breln1compEex)=>((breln1unionprop)=>((breln1unionIL)=>((breln1unionIR)=>((breln1unionI)=>((breln1unionE)=>((breln1unionEcases)=>((breln1unionCommutes)=>((woz2Ex)=>((woz2W)=>((woz2A)=>((woz2B)=>((image1Ex)=>((image1Ex1)=>((image1Equiv)=>((image1E)=>((image1I)=>((injFuncInInjFuncSet)=>((injFuncSetFuncIn)=>((injFuncSetFuncInj)=>((surjFuncSetFuncIn)=>((surjFuncSetFuncSurj)=>((leftInvIsSurj)=>((surjCantorThm)=>(![X182:$i]:(((nonempty @ X182)=>?[X183:$i]:(((in @ X183 @ X182)&((binintersect @ X183 @ X182)=(emptyset))))))=>((notinself)=>((notinself2)=>((omegaSp)=>((omegaSclos)=>((peano0notS)=>((peanoSinj)=>(![X184:$i]:(((transitiveset @ X184)=>![X185:$i]:(((in @ X185 @ X184)=>(subset @ X185 @ X184)))))=>(![X186:$i]:(((transitiveset @ X186)=>![X187:$i]:(((transitiveset @ X187)=>(transitiveset @ (binintersect @ X186 @ X187))))))=>(![X188:$i]:(((transitiveset @ X188)=>![X189:$i, X190:$i]:(((in @ X189 @ X188)=>((in @ X190 @ X189)=>(in @ X190 @ X188))))))=>(![X191:$i]:((![X192:$i]:(((in @ X192 @ X191)=>(transitiveset @ X192)))=>(transitiveset @ (setunion @ X191))))=>(![X193:$i]:((((transitiveset @ X193)&(((epred1_1 @ X193)&![X199:$i]:(((in @ X199 @ X193)=>~(in @ X199 @ X199))))&![X200:$i]:(((in @ X200 @ (powerset @ X193))=>((nonempty @ X200)=>?[X201:$i]:(((in @ X201 @ X200)&![X202:$i]:(((in @ X202 @ X200)=>(((X201)=(X202))|(in @ X201 @ X202)))))))))))=>![X203:$i]:((((transitiveset @ X203)&(((epred2_1 @ X203)&![X209:$i]:(((in @ X209 @ X203)=>~(in @ X209 @ X209))))&![X210:$i]:(((in @ X210 @ (powerset @ X203))=>((nonempty @ X210)=>?[X211:$i]:(((in @ X211 @ X210)&![X212:$i]:(((in @ X212 @ X210)=>(((X211)=(X212))|(in @ X211 @ X212)))))))))))=>(transitiveset @ (binintersect @ X193 @ X203))))))=>(![X213:$i]:((((transitiveset @ X213)&(((epred3_1 @ X213)&![X219:$i]:(((in @ X219 @ X213)=>~(in @ X219 @ X219))))&![X220:$i]:(((in @ X220 @ (powerset @ X213))=>((nonempty @ X220)=>?[X221:$i]:(((in @ X221 @ X220)&![X222:$i]:(((in @ X222 @ X220)=>(((X221)=(X222))|(in @ X221 @ X222)))))))))))=>![X223:$i, X224:$i]:(((in @ X224 @ X213)=>((in @ X223 @ X224)=>(in @ X223 @ X213))))))=>(![X225:$i]:((((transitiveset @ X225)&(((epred4_1 @ X225)&![X231:$i]:(((in @ X231 @ X225)=>~(in @ X231 @ X231))))&![X232:$i]:(((in @ X232 @ (powerset @ X225))=>((nonempty @ X232)=>?[X233:$i]:(((in @ X233 @ X232)&![X234:$i]:(((in @ X234 @ X232)=>(((X233)=(X234))|(in @ X233 @ X234)))))))))))=>![X235:$i]:(((in @ X235 @ X225)=>(subset @ X235 @ X225)))))=>(![X236:$i]:((![X237:$i]:(((in @ X237 @ X236)=>((transitiveset @ X237)&(((epred5_1 @ X237)&![X243:$i]:(((in @ X243 @ X237)=>~(in @ X243 @ X243))))&![X244:$i]:(((in @ X244 @ (powerset @ X237))=>((nonempty @ X244)=>?[X245:$i]:(((in @ X245 @ X244)&![X246:$i]:(((in @ X246 @ X244)=>(((X245)=(X246))|(in @ X245 @ X246)))))))))))))=>(transitiveset @ (setunion @ X236))))=>((epred6_0)=>(![X256:$i]:((((transitiveset @ X256)&(((epred7_1 @ X256)&![X262:$i]:(((in @ X262 @ X256)=>~(in @ X262 @ X262))))&![X263:$i]:(((in @ X263 @ (powerset @ X256))=>((nonempty @ X263)=>?[X264:$i]:(((in @ X264 @ X263)&![X265:$i]:(((in @ X265 @ X263)=>(((X264)=(X265))|(in @ X264 @ X265)))))))))))=>![X266:$i]:(((in @ X266 @ X256)=>~(in @ X266 @ X266)))))=>![X21:$i]:(((epred8_1 @ X21)=>~(in @ X21 @ X21)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[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)],[c_0_25, foundation2]), nonemptyImpWitness]), nonemptyI1]), c_0_26]), nonemptyE1]), setunionTransitive]), transitivesetOp2]), binintTransitive]), transitivesetOp1]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_23])])]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_24])).
% 0.29/0.38  thf(c_0_42, plain, ![X377:$i, X378:$i, X379:$i, X380:$i, X381:$i, X382:$i, X383:$i, X384:$i, X386:$i]:((((transitiveset @ X377)|~(epred8_1 @ X377))&((((~(in @ X378 @ X377)|(~(in @ X379 @ X377)|(~(in @ X380 @ X377)|(~(in @ X378 @ X379)|~(in @ X379 @ X380)|(in @ X378 @ X380))))|~(epred8_1 @ X377))&(~(in @ X381 @ X377)|(~(in @ X382 @ X377)|(((X381)=(X382))|(in @ X381 @ X382)|(in @ X382 @ X381)))|~(epred8_1 @ X377)))&(~(in @ X383 @ X377)|~(in @ X383 @ X383)|~(epred8_1 @ X377)))&(((in @ (esk56_2 @ X377 @ X384) @ X384)|~(nonempty @ X384)|~(in @ X384 @ (powerset @ X377))|~(epred8_1 @ X377))&(~(in @ X386 @ X384)|(((esk56_2 @ X377 @ X384)=(X386))|(in @ (esk56_2 @ X377 @ X384) @ X386))|~(nonempty @ X384)|~(in @ X384 @ (powerset @ X377))|~(epred8_1 @ X377)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])])])).
% 0.29/0.38  thf(c_0_43, negated_conjecture, ![X276:$i, X278:$i, X279:$i > $o, X280:$i, X281:$i, X282:$i, X283:$i, X285:$i, X287:$i, X288:$i, X289:$i, X290:$i, X291:$i, X292:$i, X293:$i, X294:$i, X296:$i, X299:$i, X301:$i, X304:$i, X306:$i, X309:$i, X311:$i, X312:$i, X313:$i, X316:$i, X318:$i, X319:$i, X323:$i, X325:$i, X328:$i, X330:$i]:(((setextAx)&((emptysetAx)&((setadjoinAx)&((powersetAx)&((setunionAx)&((omega0Ax)&((omegaSAx)&((omegaIndAx)&((replAx)&((foundationAx)&((wellorderingAx)&((descrp)&((dsetconstrI)&((dsetconstrEL)&((dsetconstrER)&((exuE1)&((prop2setE)&((emptysetE)&((emptysetimpfalse)&((notinemptyset)&((exuE3e)&((setext)&((emptyI)&((noeltsimpempty)&((setbeta)&((~(nonempty @ X276)|(in @ (esk1_1 @ X276) @ X276))&((~(in @ X280 @ X278)|(~(X279 @ X280)|(nonempty @ (dsetconstr @ X278 @ X279))))&((~(in @ X282 @ X281)|(nonempty @ X281))&((setadjoinIL)&((emptyinunitempty)&((setadjoinIR)&((setadjoinE)&((setadjoinOr)&((setoftrueEq)&((powersetI)&((emptyinPowerset)&((emptyInPowerset)&((powersetE)&((setunionI)&((setunionE)&((subPowSU)&((exuE2)&((((in @ (esk2_1 @ X283) @ X283)|~(nonempty @ X283))&(($true)|~(nonempty @ X283)))&((uniqinunit)&((notinsingleton)&((eqinunit)&((singletonsswitch)&((upairsetE)&((upairsetIL)&((upairsetIR)&((emptyE1)&((vacuousDall)&((quantDeMorgan1)&((quantDeMorgan2)&((quantDeMorgan3)&((quantDeMorgan4)&((prop2setI)&((prop2set2propI)&((notdexE)&((notdallE)&((exuI1)&((exuI3)&((exuI2)&((inCongP)&((in__Cong)&((exuE3u)&((exu__Cong)&((emptyset__Cong)&((setadjoin__Cong)&((powerset__Cong)&((setunion__Cong)&((omega__Cong)&((exuEu)&((descr__Cong)&((dsetconstr__Cong)&((subsetI1)&((eqimpsubset2)&((eqimpsubset1)&((subsetI2)&((emptysetsubset)&((subsetE)&((subsetE2)&((notsubsetI)&((notequalI1)&((notequalI2)&((subsetRefl)&((subsetTrans)&((setadjoinSub)&((setadjoinSub2)&((subset2powerset)&((setextsub)&((subsetemptysetimpeq)&((powersetI1)&((powersetE1)&((inPowerset)&((powersetsubset)&((sepInPowerset)&((sepSubset)&((binunionIL)&((upairset2IR)&((binunionIR)&((binunionEcases)&((binunionE)&((binunionLsub)&((binunionRsub)&((binintersectI)&((binintersectSubset5)&((binintersectEL)&((binintersectLsub)&((binintersectSubset2)&((binintersectSubset3)&((binintersectER)&((disjointsetsI1)&((binintersectRsub)&((binintersectSubset4)&((binintersectSubset1)&((bs114d)&((setminusI)&((setminusEL)&((setminusER)&((setminusSubset2)&((setminusERneg)&((setminusELneg)&((setminusILneg)&((setminusIRneg)&((setminusLsub)&((setminusSubset1)&((symdiffE)&((symdiffI1)&((symdiffI2)&((symdiffIneg1)&((symdiffIneg2)&((secondinupair)&((setukpairIL)&((setukpairIR)&((kpairiskpair)&((kpairp)&((singletonsubset)&((singletoninpowerset)&((singletoninpowunion)&((upairset2E)&((upairsubunion)&((upairinpowunion)&((ubforcartprodlem1)&((ubforcartprodlem2)&((ubforcartprodlem3)&((cartprodpairin)&((cartprodmempair1)&((cartprodmempair)&((setunionE2)&((setunionsingleton1)&((setunionsingleton2)&((setunionsingleton)&((singletonprop)&((ex1E1)&((ex1I)&((ex1I2)&((singletonsuniq)&((setukpairinjL1)&((kfstsingleton)&((theprop)&((kfstpairEq)&((cartprodfstin)&((setukpairinjL2)&((setukpairinjL)&((setukpairinjR11)&((setukpairinjR12)&((setukpairinjR1)&((upairequniteq)&((setukpairinjR2)&((setukpairinjR)&((ksndsingleton)&((ksndpairEq)&((kpairsurjEq)&((cartprodsndin)&((cartprodpairmemEL)&((cartprodpairmemER)&((cartprodmempaircEq)&((cartprodfstpairEq)&((cartprodsndpairEq)&((cartprodpairsurjEq)&((dpsetconstrI)&((dpsetconstrSub)&((setOfPairsIsBReln)&((dpsetconstrERa)&((dpsetconstrEL1)&((dpsetconstrEL2)&((dpsetconstrER)&((funcImageSingleton)&((apProp)&((app)&((infuncsetfunc)&((ap2p)&((funcinfuncset)&((lamProp)&((lamp)&((lam2p)&((brelnall1)&((brelnall2)&((ex1E2)&((funcGraphProp1)&((funcGraphProp3)&((funcGraphProp2)&((funcextLem)&((funcGraphProp4)&((subbreln)&((eqbreln)&((funcext)&((funcext2)&((ap2apEq1)&((ap2apEq2)&((beta1)&((eta1)&((lam2lamEq)&((beta2)&((eta2)&((iffalseProp1)&((iffalseProp2)&((iftrueProp1)&((iftrueProp2)&((ifSingleton)&((ifp)&((theeq)&((iftrue)&((iffalse)&((iftrueorfalse)&((binintersectT_lem)&((binunionT_lem)&((powersetT_lem)&((setminusT_lem)&((complementT_lem)&((setextT)&((subsetTI)&((powersetTI1)&((powersetTE1)&((complementTI1)&((complementTE1)&((binintersectTELcontra)&((binintersectTERcontra)&((contrasubsetT)&((contrasubsetT1)&((contrasubsetT2)&((contrasubsetT3)&((doubleComplementI1)&((doubleComplementE1)&((doubleComplementSub1)&((doubleComplementSub2)&((doubleComplementEq)&((complementTnotintersectT)&((complementImpComplementIntersect)&((complementSubsetComplementIntersect)&((complementInPowersetComplementIntersect)&((contraSubsetComplement)&((complementTcontraSubset)&((binunionTILcontra)&((binunionTIRcontra)&((inIntersectImpInUnion)&((inIntersectImpInUnion2)&((inIntersectImpInIntersectUnions)&((intersectInPowersetIntersectUnions)&((inComplementUnionImpNotIn1)&((inComplementUnionImpInComplement1)&((binunionTE)&((binunionTEcontra)&((demorgan2a1)&((complementUnionInPowersetComplement)&((demorgan2a2)&((demorgan1a)&((demorgan1b)&((demorgan1)&((demorgan2a)&((demorgan2b2)&((demorgan2b)&((demorgan2)&((woz13rule0)&((woz13rule1)&((woz13rule2)&((woz13rule3)&((woz13rule4)&((woz1_1)&((woz1_2)&((woz1_3)&((woz1_4)&((woz1_5)&((breln1all2)&((breln1SetBreln1)&((choice2fnsingleton)&((setOfPairsIsBReln1)&((breln1all1)&((subbreln1)&((eqbreln1)&((breln1invprop)&((breln1invI)&((breln1invE)&((breln1compprop)&((breln1compI)&((breln1compE)&((breln1compEex)&((breln1unionprop)&((breln1unionIL)&((breln1unionIR)&((breln1unionI)&((breln1unionE)&((breln1unionEcases)&((breln1unionCommutes)&((woz2Ex)&((woz2W)&((woz2A)&((woz2B)&((image1Ex)&((image1Ex1)&((image1Equiv)&((image1E)&((image1I)&((injFuncInInjFuncSet)&((injFuncSetFuncIn)&((injFuncSetFuncInj)&((surjFuncSetFuncIn)&((surjFuncSetFuncSurj)&((leftInvIsSurj)&((surjCantorThm)&((((in @ (esk3_1 @ X285) @ X285)|~(nonempty @ X285))&(((binintersect @ (esk3_1 @ X285) @ X285)=(emptyset))|~(nonempty @ X285)))&((notinself)&((notinself2)&((omegaSp)&((omegaSclos)&((peano0notS)&((peanoSinj)&((~(transitiveset @ X287)|(~(in @ X288 @ X287)|(subset @ X288 @ X287)))&((~(transitiveset @ X289)|(~(transitiveset @ X290)|(transitiveset @ (binintersect @ X289 @ X290))))&((~(transitiveset @ X291)|(~(in @ X292 @ X291)|(~(in @ X293 @ X292)|(in @ X293 @ X291))))&((((in @ (esk4_1 @ X294) @ X294)|(transitiveset @ (setunion @ X294)))&(~(transitiveset @ (esk4_1 @ X294))|(transitiveset @ (setunion @ X294))))&(((((((in @ (esk9_2 @ X296 @ X301) @ (powerset @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk6_1 @ X296) @ (powerset @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(((nonempty @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk6_1 @ X296) @ (powerset @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(((in @ (esk10_3 @ X296 @ X301 @ X304) @ (esk9_2 @ X296 @ X301))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk6_1 @ X296) @ (powerset @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&((((X304)!=(esk10_3 @ X296 @ X301 @ X304))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk6_1 @ X296) @ (powerset @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(~(in @ X304 @ (esk10_3 @ X296 @ X301 @ X304))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk6_1 @ X296) @ (powerset @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))))))&(((in @ (esk9_2 @ X296 @ X301) @ (powerset @ X301))|((in @ (esk8_2 @ X296 @ X301) @ (esk8_2 @ X296 @ X301))|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk6_1 @ X296) @ (powerset @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(((nonempty @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ (esk8_2 @ X296 @ X301))|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk6_1 @ X296) @ (powerset @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(((in @ (esk10_3 @ X296 @ X301 @ X304) @ (esk9_2 @ X296 @ X301))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ (esk8_2 @ X296 @ X301))|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk6_1 @ X296) @ (powerset @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&((((X304)!=(esk10_3 @ X296 @ X301 @ X304))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ (esk8_2 @ X296 @ X301))|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk6_1 @ X296) @ (powerset @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(~(in @ X304 @ (esk10_3 @ X296 @ X301 @ X304))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ (esk8_2 @ X296 @ X301))|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk6_1 @ X296) @ (powerset @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296))))))))&(((((in @ (esk9_2 @ X296 @ X301) @ (powerset @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((nonempty @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(((nonempty @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((nonempty @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(((in @ (esk10_3 @ X296 @ X301 @ X304) @ (esk9_2 @ X296 @ X301))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((nonempty @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&((((X304)!=(esk10_3 @ X296 @ X301 @ X304))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((nonempty @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(~(in @ X304 @ (esk10_3 @ X296 @ X301 @ X304))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((nonempty @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))))))&(((in @ (esk9_2 @ X296 @ X301) @ (powerset @ X301))|((in @ (esk8_2 @ X296 @ X301) @ (esk8_2 @ X296 @ X301))|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((nonempty @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(((nonempty @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ (esk8_2 @ X296 @ X301))|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((nonempty @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(((in @ (esk10_3 @ X296 @ X301 @ X304) @ (esk9_2 @ X296 @ X301))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ (esk8_2 @ X296 @ X301))|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((nonempty @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&((((X304)!=(esk10_3 @ X296 @ X301 @ X304))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ (esk8_2 @ X296 @ X301))|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((nonempty @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(~(in @ X304 @ (esk10_3 @ X296 @ X301 @ X304))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ (esk8_2 @ X296 @ X301))|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((nonempty @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296))))))))&(((((in @ (esk9_2 @ X296 @ X301) @ (powerset @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk7_2 @ X296 @ X299) @ (esk6_1 @ X296))|~(in @ X299 @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(((nonempty @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ X296 @ X301))|((in @ (esk7_2 @ X296 @ X299) @ (esk6_1 @ X296))|~(in @ X299 @ (esk6_1 @ X296))|((in @ (esk5_1 @ X296) @ X296)|~(epred1_1 @ X296))|~(transitiveset @ X296)))&(((in @ (esk10_3 @ X296 @ X301 @ X304) @ (esk9_2 @ X296 @ X301))|~(in @ X304 @ (esk9_2 @ X296 @ X301))|((in @ (esk8_2 @ X296 @ X301) @ X301)|~(epred2_1 @ X301))|~(transitiveset @ X301)|(transitiveset @ (binintersect @ 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X313))|~(transitiveset @ X313)|(~(in @ X318 @ X313)|(subset @ X318 @ X313)))&(((nonempty @ (esk15_1 @ X313))|((in @ (esk14_1 @ X313) @ (esk14_1 @ X313))|~(epred4_1 @ X313))|~(transitiveset @ X313)|(~(in @ X318 @ X313)|(subset @ X318 @ X313)))&(((in @ (esk16_2 @ X313 @ X316) @ (esk15_1 @ X313))|~(in @ X316 @ (esk15_1 @ X313))|((in @ (esk14_1 @ X313) @ (esk14_1 @ X313))|~(epred4_1 @ X313))|~(transitiveset @ X313)|(~(in @ X318 @ X313)|(subset @ X318 @ X313)))&((((X316)!=(esk16_2 @ X313 @ X316))|~(in @ X316 @ (esk15_1 @ X313))|((in @ (esk14_1 @ X313) @ (esk14_1 @ X313))|~(epred4_1 @ X313))|~(transitiveset @ X313)|(~(in @ X318 @ X313)|(subset @ X318 @ X313)))&(~(in @ X316 @ (esk16_2 @ X313 @ X316))|~(in @ X316 @ (esk15_1 @ X313))|((in @ (esk14_1 @ X313) @ (esk14_1 @ X313))|~(epred4_1 @ X313))|~(transitiveset @ X313)|(~(in @ X318 @ X313)|(subset @ X318 @ X313))))))))&((((in @ (esk17_1 @ X319) @ X319)|(transitiveset @ (setunion @ X319)))&((((in @ (esk19_1 @ X319) @ (powerset @ (esk17_1 @ X319)))|((in @ (esk18_1 @ X319) @ (esk17_1 @ X319))|~(epred5_1 @ (esk17_1 @ X319)))|~(transitiveset @ (esk17_1 @ X319))|(transitiveset @ (setunion @ X319)))&(((nonempty @ (esk19_1 @ X319))|((in @ (esk18_1 @ X319) @ (esk17_1 @ X319))|~(epred5_1 @ (esk17_1 @ X319)))|~(transitiveset @ (esk17_1 @ X319))|(transitiveset @ (setunion @ X319)))&(((in @ (esk20_2 @ X319 @ X323) @ (esk19_1 @ X319))|~(in @ X323 @ (esk19_1 @ X319))|((in @ (esk18_1 @ X319) @ (esk17_1 @ X319))|~(epred5_1 @ (esk17_1 @ X319)))|~(transitiveset @ (esk17_1 @ X319))|(transitiveset @ (setunion @ X319)))&((((X323)!=(esk20_2 @ X319 @ X323))|~(in @ X323 @ (esk19_1 @ X319))|((in @ (esk18_1 @ X319) @ (esk17_1 @ X319))|~(epred5_1 @ (esk17_1 @ X319)))|~(transitiveset @ (esk17_1 @ X319))|(transitiveset @ (setunion @ X319)))&(~(in @ X323 @ (esk20_2 @ X319 @ X323))|~(in @ X323 @ (esk19_1 @ X319))|((in @ (esk18_1 @ X319) @ (esk17_1 @ X319))|~(epred5_1 @ (esk17_1 @ X319)))|~(transitiveset @ (esk17_1 @ X319))|(transitiveset @ (setunion @ X319)))))))&(((in @ (esk19_1 @ X319) @ (powerset @ (esk17_1 @ X319)))|((in @ (esk18_1 @ X319) @ (esk18_1 @ X319))|~(epred5_1 @ (esk17_1 @ X319)))|~(transitiveset @ (esk17_1 @ X319))|(transitiveset @ (setunion @ X319)))&(((nonempty @ (esk19_1 @ X319))|((in @ (esk18_1 @ X319) @ (esk18_1 @ X319))|~(epred5_1 @ (esk17_1 @ X319)))|~(transitiveset @ (esk17_1 @ X319))|(transitiveset @ (setunion @ X319)))&(((in @ (esk20_2 @ X319 @ X323) @ (esk19_1 @ X319))|~(in @ X323 @ (esk19_1 @ X319))|((in @ (esk18_1 @ X319) @ (esk18_1 @ X319))|~(epred5_1 @ (esk17_1 @ X319)))|~(transitiveset @ (esk17_1 @ X319))|(transitiveset @ (setunion @ X319)))&((((X323)!=(esk20_2 @ X319 @ X323))|~(in @ X323 @ (esk19_1 @ X319))|((in @ (esk18_1 @ X319) @ (esk18_1 @ X319))|~(epred5_1 @ (esk17_1 @ X319)))|~(transitiveset @ (esk17_1 @ X319))|(transitiveset @ (setunion @ X319)))&(~(in @ X323 @ (esk20_2 @ X319 @ X323))|~(in @ X323 @ (esk19_1 @ X319))|((in @ (esk18_1 @ X319) @ (esk18_1 @ X319))|~(epred5_1 @ (esk17_1 @ X319)))|~(transitiveset @ (esk17_1 @ X319))|(transitiveset @ (setunion @ X319)))))))))&((epred6_0)&(((((in @ (esk22_1 @ X325) @ (powerset @ X325))|((in @ (esk21_1 @ X325) @ X325)|~(epred7_1 @ X325))|~(transitiveset @ X325)|(~(in @ X330 @ X325)|~(in @ X330 @ X330)))&(((nonempty @ (esk22_1 @ X325))|((in @ (esk21_1 @ X325) @ X325)|~(epred7_1 @ X325))|~(transitiveset @ X325)|(~(in @ X330 @ X325)|~(in @ X330 @ X330)))&(((in @ (esk23_2 @ X325 @ X328) @ (esk22_1 @ X325))|~(in @ X328 @ (esk22_1 @ X325))|((in @ (esk21_1 @ X325) @ X325)|~(epred7_1 @ X325))|~(transitiveset @ X325)|(~(in @ X330 @ X325)|~(in @ X330 @ X330)))&((((X328)!=(esk23_2 @ X325 @ X328))|~(in @ X328 @ (esk22_1 @ X325))|((in @ (esk21_1 @ X325) @ X325)|~(epred7_1 @ X325))|~(transitiveset @ X325)|(~(in @ X330 @ X325)|~(in @ X330 @ X330)))&(~(in @ X328 @ (esk23_2 @ X325 @ X328))|~(in @ X328 @ (esk22_1 @ X325))|((in @ (esk21_1 @ X325) @ X325)|~(epred7_1 @ X325))|~(transitiveset @ X325)|(~(in @ X330 @ X325)|~(in @ X330 @ X330)))))))&(((in @ (esk22_1 @ X325) @ (powerset @ X325))|((in @ (esk21_1 @ X325) @ (esk21_1 @ X325))|~(epred7_1 @ X325))|~(transitiveset @ X325)|(~(in @ X330 @ X325)|~(in @ X330 @ X330)))&(((nonempty @ (esk22_1 @ X325))|((in @ (esk21_1 @ X325) @ (esk21_1 @ X325))|~(epred7_1 @ X325))|~(transitiveset @ X325)|(~(in @ X330 @ X325)|~(in @ X330 @ X330)))&(((in @ (esk23_2 @ X325 @ X328) @ (esk22_1 @ X325))|~(in @ X328 @ (esk22_1 @ X325))|((in @ (esk21_1 @ X325) @ (esk21_1 @ X325))|~(epred7_1 @ X325))|~(transitiveset @ X325)|(~(in @ X330 @ X325)|~(in @ X330 @ X330)))&((((X328)!=(esk23_2 @ X325 @ X328))|~(in @ X328 @ (esk22_1 @ X325))|((in @ (esk21_1 @ X325) @ (esk21_1 @ X325))|~(epred7_1 @ X325))|~(transitiveset @ X325)|(~(in @ X330 @ X325)|~(in @ X330 @ X330)))&(~(in @ X328 @ (esk23_2 @ X325 @ X328))|~(in @ X328 @ (esk22_1 @ X325))|((in @ (esk21_1 @ X325) @ (esk21_1 @ X325))|~(epred7_1 @ X325))|~(transitiveset @ X325)|(~(in @ X330 @ X325)|~(in @ X330 @ X330))))))))&((epred8_1 @ esk24_0)&(in @ esk24_0 @ esk24_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_41])])])])])])])).
% 0.29/0.38  thf(c_0_44, plain, ![X2:$i, X3:$i]:((~((in @ X2 @ X3))|~((in @ X2 @ X2))|~((epred8_1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_42])).
% 0.29/0.38  thf(c_0_45, negated_conjecture, (in @ esk24_0 @ esk24_0), inference(split_conjunct,[status(thm)],[c_0_43])).
% 0.29/0.38  thf(c_0_46, negated_conjecture, (epred8_1 @ esk24_0), inference(split_conjunct,[status(thm)],[c_0_43])).
% 0.29/0.38  thf(c_0_47, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_45]), c_0_46])]), ['proof']).
% 0.29/0.38  % SZS output end CNFRefutation
% 0.29/0.38  % Parsed axioms                        : 745
% 0.29/0.38  % Removed by relevancy pruning/SinE    : 726
% 0.29/0.38  % Initial clauses                      : 671
% 0.29/0.38  % Removed in clause preprocessing      : 1
% 0.29/0.38  % Initial clauses in saturation        : 670
% 0.29/0.38  % Processed clauses                    : 347
% 0.29/0.38  % ...of these trivial                  : 0
% 0.29/0.38  % ...subsumed                          : 1
% 0.29/0.38  % ...remaining for further processing  : 346
% 0.29/0.38  % Other redundant clauses eliminated   : 0
% 0.29/0.38  % Clauses deleted for lack of memory   : 0
% 0.29/0.38  % Backward-subsumed                    : 0
% 0.29/0.38  % Backward-rewritten                   : 0
% 0.29/0.38  % Generated clauses                    : 18
% 0.29/0.38  % ...of the previous two non-redundant : 8
% 0.29/0.38  % ...aggressively subsumed             : 0
% 0.29/0.38  % Contextual simplify-reflections      : 0
% 0.29/0.38  % Paramodulations                      : 18
% 0.29/0.38  % Factorizations                       : 0
% 0.29/0.38  % NegExts                              : 0
% 0.29/0.38  % Equation resolutions                 : 0
% 0.29/0.38  % Disequality decompositions           : 0
% 0.29/0.38  % Total rewrite steps                  : 5
% 0.29/0.38  % ...of those cached                   : 1
% 0.29/0.38  % Propositional unsat checks           : 0
% 0.29/0.38  %    Propositional check models        : 0
% 0.29/0.38  %    Propositional check unsatisfiable : 0
% 0.29/0.38  %    Propositional clauses             : 0
% 0.29/0.38  %    Propositional clauses after purity: 0
% 0.29/0.38  %    Propositional unsat core size     : 0
% 0.29/0.38  %    Propositional preprocessing time  : 0.000
% 0.29/0.38  %    Propositional encoding time       : 0.000
% 0.29/0.38  %    Propositional solver time         : 0.000
% 0.29/0.38  %    Success case prop preproc time    : 0.000
% 0.29/0.38  %    Success case prop encoding time   : 0.000
% 0.29/0.38  %    Success case prop solver time     : 0.000
% 0.29/0.38  % Current number of processed clauses  : 346
% 0.29/0.38  %    Positive orientable unit clauses  : 329
% 0.29/0.38  %    Positive unorientable unit clauses: 0
% 0.29/0.38  %    Negative unit clauses             : 0
% 0.29/0.38  %    Non-unit-clauses                  : 17
% 0.29/0.38  % Current number of unprocessed clauses: 331
% 0.29/0.38  % ...number of literals in the above   : 1879
% 0.29/0.38  % Current number of archived formulas  : 0
% 0.29/0.38  % Current number of archived clauses   : 0
% 0.29/0.38  % Clause-clause subsumption calls (NU) : 30
% 0.29/0.38  % Rec. Clause-clause subsumption calls : 30
% 0.29/0.38  % Non-unit clause-clause subsumptions  : 1
% 0.29/0.38  % Unit Clause-clause subsumption calls : 0
% 0.29/0.38  % Rewrite failures with RHS unbound    : 0
% 0.29/0.38  % BW rewrite match attempts            : 0
% 0.29/0.38  % BW rewrite match successes           : 0
% 0.29/0.38  % Condensation attempts                : 0
% 0.29/0.38  % Condensation successes               : 0
% 0.29/0.38  % Termbank termtop insertions          : 41830
% 0.29/0.38  % Search garbage collected termcells   : 13548
% 0.29/0.38  
% 0.29/0.38  % -------------------------------------------------
% 0.29/0.38  % User time                : 0.033 s
% 0.29/0.38  % System time              : 0.003 s
% 0.29/0.38  % Total time               : 0.036 s
% 0.29/0.38  % Maximum resident set size: 6536 pages
% 0.29/0.38  
% 0.29/0.38  % -------------------------------------------------
% 0.29/0.38  % User time                : 0.053 s
% 0.29/0.38  % System time              : 0.011 s
% 0.29/0.38  % Total time               : 0.064 s
% 0.29/0.38  % Maximum resident set size: 5632 pages
% 0.29/0.38  % E exiting
%------------------------------------------------------------------------------