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

%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SEU624^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 08:26:58 AM UTC 2026

% Result   : Theorem 0.21s 0.33s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU624^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n003.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Sep 29 14:00:58 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running higher-order theorem proving
% 0.07/0.25  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=300 /export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p
% 0.21/0.33  % Version: 3.5.1-ho
% 0.21/0.33  % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.21/0.33  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.33  % Starting ehoh_best5 with 300s (1) cores
% 0.21/0.33  % Starting almost_fo_3_lam with 300s (1) cores
% 0.21/0.33  % Starting new_bool_5 with 300s (1) cores
% 0.21/0.33  % Starting pre_casc_3 with 300s (1) cores
% 0.21/0.33  % Starting ho_unfolding_8 with 300s (1) cores
% 0.21/0.33  % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.33  % Starting new_bool_3 with 300s (1) cores
% 0.21/0.33  % Starting new_ho_5 with 300s (1) cores
% 0.21/0.33  % new_bool_5 with pid 2550983 completed with status 0
% 0.21/0.33  % Result found by new_bool_5
% 0.21/0.33  % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.21/0.33  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.33  % Starting ehoh_best5 with 300s (1) cores
% 0.21/0.33  % Starting almost_fo_3_lam with 300s (1) cores
% 0.21/0.33  % Starting new_bool_5 with 300s (1) cores
% 0.21/0.33  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.21/0.33  % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.21/0.33  % Search class: HGHSM-FSLM31-MHFMMSBN
% 0.21/0.33  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.33  % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.33  % SubtermCWHack with pid 2550991 completed with status 0
% 0.21/0.33  % Result found by SubtermCWHack
% 0.21/0.33  % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.21/0.33  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.33  % Starting ehoh_best5 with 300s (1) cores
% 0.21/0.33  % Starting almost_fo_3_lam with 300s (1) cores
% 0.21/0.33  % Starting new_bool_5 with 300s (1) cores
% 0.21/0.33  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.21/0.33  % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.21/0.33  % Search class: HGHSM-FSLM31-MHFMMSBN
% 0.21/0.33  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.33  % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.33  % Preprocessing time       : 0.003 s
% 0.21/0.33  
% 0.21/0.33  % Proof found!
% 0.21/0.33  % SZS status Theorem
% 0.21/0.33  % SZS output start CNFRefutation
% 0.21/0.33  thf(decl_23, type, in: $i > $i > $o).
% 0.21/0.33  thf(decl_24, type, exu: ($i > $o) > $o).
% 0.21/0.33  thf(decl_25, type, setextAx: $o).
% 0.21/0.33  thf(decl_26, type, emptyset: $i).
% 0.21/0.33  thf(decl_27, type, emptysetAx: $o).
% 0.21/0.33  thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.21/0.33  thf(decl_29, type, setadjoinAx: $o).
% 0.21/0.33  thf(decl_30, type, powerset: $i > $i).
% 0.21/0.33  thf(decl_31, type, powersetAx: $o).
% 0.21/0.33  thf(decl_32, type, setunion: $i > $i).
% 0.21/0.33  thf(decl_33, type, setunionAx: $o).
% 0.21/0.33  thf(decl_34, type, omega: $i).
% 0.21/0.33  thf(decl_35, type, omega0Ax: $o).
% 0.21/0.33  thf(decl_36, type, omegaSAx: $o).
% 0.21/0.33  thf(decl_37, type, omegaIndAx: $o).
% 0.21/0.33  thf(decl_38, type, replAx: $o).
% 0.21/0.33  thf(decl_39, type, foundationAx: $o).
% 0.21/0.33  thf(decl_40, type, wellorderingAx: $o).
% 0.21/0.33  thf(decl_41, type, descr: ($i > $o) > $i).
% 0.21/0.33  thf(decl_42, type, descrp: $o).
% 0.21/0.33  thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.33  thf(decl_44, type, dsetconstrI: $o).
% 0.21/0.33  thf(decl_45, type, dsetconstrEL: $o).
% 0.21/0.33  thf(decl_46, type, dsetconstrER: $o).
% 0.21/0.33  thf(decl_47, type, exuE1: $o).
% 0.21/0.33  thf(decl_48, type, prop2set: $o > $i).
% 0.21/0.33  thf(decl_49, type, prop2setE: $o).
% 0.21/0.33  thf(decl_50, type, emptysetE: $o).
% 0.21/0.33  thf(decl_51, type, emptysetimpfalse: $o).
% 0.21/0.33  thf(decl_52, type, notinemptyset: $o).
% 0.21/0.33  thf(decl_53, type, exuE3e: $o).
% 0.21/0.33  thf(decl_54, type, setext: $o).
% 0.21/0.33  thf(decl_55, type, emptyI: $o).
% 0.21/0.33  thf(decl_56, type, noeltsimpempty: $o).
% 0.21/0.33  thf(decl_57, type, setbeta: $o).
% 0.21/0.33  thf(decl_58, type, nonempty: $i > $o).
% 0.21/0.33  thf(decl_59, type, nonemptyE1: $o).
% 0.21/0.33  thf(decl_60, type, nonemptyI: $o).
% 0.21/0.33  thf(decl_61, type, nonemptyI1: $o).
% 0.21/0.33  thf(decl_62, type, setadjoinIL: $o).
% 0.21/0.33  thf(decl_63, type, emptyinunitempty: $o).
% 0.21/0.33  thf(decl_64, type, setadjoinIR: $o).
% 0.21/0.33  thf(decl_65, type, setadjoinE: $o).
% 0.21/0.33  thf(decl_66, type, setadjoinOr: $o).
% 0.21/0.33  thf(decl_67, type, setoftrueEq: $o).
% 0.21/0.33  thf(decl_68, type, powersetI: $o).
% 0.21/0.33  thf(decl_69, type, emptyinPowerset: $o).
% 0.21/0.33  thf(decl_70, type, emptyInPowerset: $o).
% 0.21/0.33  thf(decl_71, type, powersetE: $o).
% 0.21/0.33  thf(decl_72, type, setunionI: $o).
% 0.21/0.33  thf(decl_73, type, setunionE: $o).
% 0.21/0.33  thf(decl_74, type, subPowSU: $o).
% 0.21/0.33  thf(decl_75, type, exuE2: $o).
% 0.21/0.33  thf(decl_76, type, nonemptyImpWitness: $o).
% 0.21/0.33  thf(decl_77, type, uniqinunit: $o).
% 0.21/0.33  thf(decl_78, type, notinsingleton: $o).
% 0.21/0.33  thf(decl_79, type, eqinunit: $o).
% 0.21/0.33  thf(decl_80, type, singletonsswitch: $o).
% 0.21/0.33  thf(decl_81, type, upairsetE: $o).
% 0.21/0.33  thf(decl_82, type, upairsetIL: $o).
% 0.21/0.33  thf(decl_83, type, upairsetIR: $o).
% 0.21/0.33  thf(decl_84, type, emptyE1: $o).
% 0.21/0.33  thf(decl_85, type, vacuousDall: $o).
% 0.21/0.33  thf(decl_86, type, quantDeMorgan1: $o).
% 0.21/0.33  thf(decl_87, type, quantDeMorgan2: $o).
% 0.21/0.33  thf(decl_88, type, quantDeMorgan3: $o).
% 0.21/0.33  thf(decl_89, type, quantDeMorgan4: $o).
% 0.21/0.33  thf(decl_90, type, prop2setI: $o).
% 0.21/0.33  thf(decl_92, type, prop2set2propI: $o).
% 0.21/0.33  thf(decl_93, type, notdexE: $o).
% 0.21/0.33  thf(decl_94, type, notdallE: $o).
% 0.21/0.33  thf(decl_95, type, exuI1: $o).
% 0.21/0.33  thf(decl_96, type, exuI3: $o).
% 0.21/0.33  thf(decl_97, type, exuI2: $o).
% 0.21/0.33  thf(decl_98, type, inCongP: $o).
% 0.21/0.33  thf(decl_99, type, in__Cong: $o).
% 0.21/0.33  thf(decl_100, type, exuE3u: $o).
% 0.21/0.33  thf(decl_101, type, exu__Cong: $o).
% 0.21/0.33  thf(decl_102, type, emptyset__Cong: $o).
% 0.21/0.33  thf(decl_103, type, setadjoin__Cong: $o).
% 0.21/0.33  thf(decl_104, type, powerset__Cong: $o).
% 0.21/0.33  thf(decl_105, type, setunion__Cong: $o).
% 0.21/0.33  thf(decl_106, type, omega__Cong: $o).
% 0.21/0.33  thf(decl_107, type, exuEu: $o).
% 0.21/0.33  thf(decl_108, type, descr__Cong: $o).
% 0.21/0.33  thf(decl_109, type, dsetconstr__Cong: $o).
% 0.21/0.33  thf(decl_110, type, subset: $i > $i > $o).
% 0.21/0.33  thf(decl_113, type, subsetI1: $o).
% 0.21/0.33  thf(decl_114, type, eqimpsubset2: $o).
% 0.21/0.33  thf(decl_115, type, eqimpsubset1: $o).
% 0.21/0.33  thf(decl_116, type, subsetI2: $o).
% 0.21/0.33  thf(decl_117, type, emptysetsubset: $o).
% 0.21/0.33  thf(decl_118, type, subsetE: $o).
% 0.21/0.33  thf(decl_119, type, subsetE2: $o).
% 0.21/0.33  thf(decl_120, type, notsubsetI: $o).
% 0.21/0.33  thf(decl_121, type, notequalI1: $o).
% 0.21/0.33  thf(decl_122, type, notequalI2: $o).
% 0.21/0.33  thf(decl_123, type, subsetRefl: $o).
% 0.21/0.33  thf(decl_124, type, subsetTrans: $o).
% 0.21/0.33  thf(decl_125, type, setadjoinSub: $o).
% 0.21/0.33  thf(decl_126, type, setadjoinSub2: $o).
% 0.21/0.33  thf(decl_127, type, subset2powerset: $o).
% 0.21/0.33  thf(decl_128, type, setextsub: $o).
% 0.21/0.33  thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.21/0.33  thf(decl_130, type, powersetI1: $o).
% 0.21/0.33  thf(decl_131, type, powersetE1: $o).
% 0.21/0.33  thf(decl_132, type, inPowerset: $o).
% 0.21/0.33  thf(decl_133, type, powersetsubset: $o).
% 0.21/0.33  thf(decl_134, type, sepInPowerset: $o).
% 0.21/0.33  thf(decl_135, type, sepSubset: $o).
% 0.21/0.33  thf(decl_136, type, binunion: $i > $i > $i).
% 0.21/0.33  thf(decl_137, type, binunionIL: $o).
% 0.21/0.33  thf(decl_138, type, upairset2IR: $o).
% 0.21/0.33  thf(decl_139, type, binunionIR: $o).
% 0.21/0.33  thf(decl_140, type, binunionEcases: $o).
% 0.21/0.33  thf(decl_141, type, binunionE: $o).
% 0.21/0.33  thf(decl_142, type, binunionLsub: $o).
% 0.21/0.33  thf(decl_143, type, binunionRsub: $o).
% 0.21/0.33  thf(decl_144, type, binintersect: $i > $i > $i).
% 0.21/0.33  thf(decl_145, type, binintersectI: $o).
% 0.21/0.33  thf(decl_146, type, binintersectSubset5: $o).
% 0.21/0.33  thf(decl_147, type, binintersectEL: $o).
% 0.21/0.33  thf(decl_148, type, binintersectLsub: $o).
% 0.21/0.33  thf(decl_149, type, binintersectSubset2: $o).
% 0.21/0.33  thf(decl_150, type, binintersectSubset3: $o).
% 0.21/0.33  thf(decl_151, type, binintersectER: $o).
% 0.21/0.33  thf(decl_152, type, disjointsetsI1: $o).
% 0.21/0.33  thf(decl_153, type, binintersectRsub: $o).
% 0.21/0.33  thf(decl_154, type, binintersectSubset4: $o).
% 0.21/0.33  thf(decl_155, type, binintersectSubset1: $o).
% 0.21/0.33  thf(decl_156, type, bs114d: $o).
% 0.21/0.33  thf(decl_158, type, setminus: $i > $i > $i).
% 0.21/0.33  thf(decl_159, type, setminusI: $o).
% 0.21/0.33  thf(decl_160, type, setminusEL: $o).
% 0.21/0.33  thf(decl_161, type, setminusER: $o).
% 0.21/0.33  thf(decl_162, type, setminusSubset2: $o).
% 0.21/0.33  thf(decl_163, type, setminusERneg: $o).
% 0.21/0.33  thf(decl_164, type, setminusELneg: $o).
% 0.21/0.33  thf(decl_165, type, setminusILneg: $o).
% 0.21/0.33  thf(decl_166, type, setminusIRneg: $o).
% 0.21/0.33  thf(decl_167, type, setminusLsub: $o).
% 0.21/0.33  thf(decl_168, type, setminusSubset1: $o).
% 0.21/0.33  thf(decl_169, type, symdiff: $i > $i > $i).
% 0.21/0.33  thf(decl_170, type, symdiffE: $o).
% 0.21/0.33  thf(decl_171, type, symdiffI1: $o).
% 0.21/0.33  thf(decl_172, type, symdiffI2: $o).
% 0.21/0.33  thf(decl_173, type, symdiffIneg1: $o).
% 0.21/0.33  thf(decl_174, type, symdiffIneg2: $o).
% 0.21/0.33  thf(decl_175, type, iskpair: $i > $o).
% 0.21/0.33  thf(decl_176, type, secondinupair: $o).
% 0.21/0.33  thf(decl_177, type, setukpairIL: $o).
% 0.21/0.33  thf(decl_178, type, setukpairIR: $o).
% 0.21/0.33  thf(decl_179, type, kpairiskpair: $o).
% 0.21/0.33  thf(decl_180, type, kpair: $i > $i > $i).
% 0.21/0.33  thf(decl_181, type, kpairp: $o).
% 0.21/0.33  thf(decl_183, type, singletonsubset: $o).
% 0.21/0.33  thf(decl_184, type, singletoninpowerset: $o).
% 0.21/0.33  thf(decl_185, type, singletoninpowunion: $o).
% 0.21/0.33  thf(decl_186, type, epred1_0: $o).
% 0.21/0.33  thf(decl_187, type, esk1_2: $i > $i > $i).
% 0.21/0.33  thf(decl_188, type, esk2_2: $i > $i > $i).
% 0.21/0.33  thf(decl_189, type, esk3_2: $i > $i > $i).
% 0.21/0.33  thf(decl_190, type, esk4_1: $i > $i).
% 0.21/0.33  thf(decl_191, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.21/0.33  thf(decl_192, type, esk6_2: ($i > $i > $o) > $i > $i).
% 0.21/0.33  thf(decl_193, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 0.21/0.33  thf(decl_194, type, esk8_1: $i > $i).
% 0.21/0.33  thf(decl_195, type, esk9_1: ($i > $o) > $i).
% 0.21/0.33  thf(decl_196, type, esk10_1: ($i > $o) > $i).
% 0.21/0.33  thf(decl_197, type, esk11_2: $i > $i > $i).
% 0.21/0.33  thf(decl_198, type, esk12_2: $i > $i > $i).
% 0.21/0.33  thf(decl_199, type, esk13_1: $i > $i).
% 0.21/0.33  thf(decl_200, type, esk14_1: $i > $i).
% 0.21/0.33  thf(decl_201, type, esk15_1: $i > $i).
% 0.21/0.33  thf(decl_202, type, esk16_2: $i > $i > $i).
% 0.21/0.33  thf(decl_203, type, esk17_3: $i > $i > $o > $i).
% 0.21/0.33  thf(decl_204, type, esk18_1: ($i > $o) > $i).
% 0.21/0.33  thf(decl_205, type, esk19_1: $i > $i).
% 0.21/0.33  thf(decl_206, type, esk20_2: $i > ($i > $o) > $i).
% 0.21/0.33  thf(decl_207, type, esk21_2: $i > ($i > $o) > $i).
% 0.21/0.33  thf(decl_208, type, esk22_2: $i > ($i > $o) > $i).
% 0.21/0.33  thf(decl_209, type, esk23_2: $i > ($i > $o) > $i).
% 0.21/0.33  thf(decl_210, type, esk24_2: $i > ($i > $o) > $i).
% 0.21/0.33  thf(decl_211, type, esk25_2: $i > ($i > $o) > $i).
% 0.21/0.33  thf(decl_212, type, esk26_2: ($i > $o) > $i > $i).
% 0.21/0.33  thf(decl_213, type, esk27_1: ($i > $o) > $i).
% 0.21/0.33  thf(decl_214, type, esk28_1: ($i > $o) > $i).
% 0.21/0.33  thf(decl_215, type, esk29_2: ($i > $o) > $i > $i).
% 0.21/0.33  thf(decl_216, type, esk30_2: ($i > $o) > ($i > $o) > $i).
% 0.21/0.33  thf(decl_217, type, esk31_2: ($i > $o) > ($i > $o) > $i).
% 0.21/0.33  thf(decl_218, type, esk32_2: ($i > $o) > ($i > $o) > $i).
% 0.21/0.33  thf(decl_219, type, esk33_2: ($i > $o) > ($i > $o) > $i).
% 0.21/0.33  thf(decl_220, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.21/0.33  thf(decl_221, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.21/0.33  thf(decl_222, type, esk36_2: $i > $i > $i).
% 0.21/0.33  thf(decl_223, type, esk37_2: $i > $i > $i).
% 0.21/0.33  thf(decl_224, type, esk38_2: $i > $i > $i).
% 0.21/0.33  thf(decl_225, type, esk39_0: $i).
% 0.21/0.33  thf(decl_226, type, esk40_0: $i).
% 0.21/0.33  thf(decl_227, type, esk41_0: $i).
% 0.21/0.33  thf(upairset2E, 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)=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', upairset2E)).
% 0.21/0.33  thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', exuE3e)).
% 0.21/0.33  thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', nonemptyI)).
% 0.21/0.33  thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setbeta)).
% 0.21/0.33  thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setoftrueEq)).
% 0.21/0.33  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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', dsetconstr__Cong)).
% 0.21/0.33  thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', descr__Cong)).
% 0.21/0.33  thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', exuEu)).
% 0.21/0.33  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.yFqBaL8CmS/E---3.1_2550968.p', exuE2)).
% 0.21/0.33  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.yFqBaL8CmS/E---3.1_2550968.p', emptyE1)).
% 0.21/0.33  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.yFqBaL8CmS/E---3.1_2550968.p', exuI2)).
% 0.21/0.33  thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', exuI3)).
% 0.21/0.33  thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', exuI1)).
% 0.21/0.33  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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', exu__Cong)).
% 0.21/0.33  thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', exuE3u)).
% 0.21/0.33  thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', sepSubset)).
% 0.21/0.33  thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', sepInPowerset)).
% 0.21/0.33  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.yFqBaL8CmS/E---3.1_2550968.p', exuE1)).
% 0.21/0.33  thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', dsetconstrER)).
% 0.21/0.33  thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', dsetconstrEL)).
% 0.21/0.33  thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', dsetconstrI)).
% 0.21/0.33  thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', descrp)).
% 0.21/0.33  thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', replAx)).
% 0.21/0.33  thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setadjoinIL)).
% 0.21/0.33  thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binintersectSubset3)).
% 0.21/0.33  thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binintersectLsub)).
% 0.21/0.33  thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binintersectSubset2)).
% 0.21/0.33  thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binintersectER)).
% 0.21/0.33  thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', disjointsetsI1)).
% 0.21/0.33  thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setext)).
% 0.21/0.33  thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binintersectRsub)).
% 0.21/0.33  thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binintersectSubset4)).
% 0.21/0.33  thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', emptyI)).
% 0.21/0.33  thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binintersectSubset1)).
% 0.21/0.33  thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', bs114d)).
% 0.21/0.33  thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setminusI)).
% 0.21/0.33  thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setminusEL)).
% 0.21/0.33  thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setminusER)).
% 0.21/0.33  thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setminusSubset2)).
% 0.21/0.33  thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setminusERneg)).
% 0.21/0.33  thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setminusELneg)).
% 0.21/0.33  thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setminusILneg)).
% 0.21/0.33  thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setminusIRneg)).
% 0.21/0.33  thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', notinemptyset)).
% 0.21/0.33  thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setminusLsub)).
% 0.21/0.33  thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setminusSubset1)).
% 0.21/0.33  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.yFqBaL8CmS/E---3.1_2550968.p', symdiffE)).
% 0.21/0.33  thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', symdiffI1)).
% 0.21/0.33  thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', emptyinunitempty)).
% 0.21/0.33  thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', symdiffI2)).
% 0.21/0.33  thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', notinsingleton)).
% 0.21/0.33  thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', uniqinunit)).
% 0.21/0.33  thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', symdiffIneg1)).
% 0.21/0.33  thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', nonemptyI1)).
% 0.21/0.33  thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', symdiffIneg2)).
% 0.21/0.33  thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', secondinupair)).
% 0.21/0.33  thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', nonemptyE1)).
% 0.21/0.33  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.yFqBaL8CmS/E---3.1_2550968.p', setukpairIL)).
% 0.21/0.33  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.yFqBaL8CmS/E---3.1_2550968.p', setukpairIR)).
% 0.21/0.33  thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', noeltsimpempty)).
% 0.21/0.33  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.yFqBaL8CmS/E---3.1_2550968.p', kpairiskpair)).
% 0.21/0.33  thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setadjoinIR)).
% 0.21/0.33  thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', kpairp)).
% 0.21/0.33  thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', singletonsubset)).
% 0.21/0.33  thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', singletoninpowerset)).
% 0.21/0.33  thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', singletoninpowunion)).
% 0.21/0.33  thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', powersetE)).
% 0.21/0.33  thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', emptyInPowerset)).
% 0.21/0.33  thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', emptyinPowerset)).
% 0.21/0.33  thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', powersetI)).
% 0.21/0.33  thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setadjoinOr)).
% 0.21/0.33  thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setadjoinE)).
% 0.21/0.33  thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setunionI)).
% 0.21/0.33  thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', eqinunit)).
% 0.21/0.33  thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', subsetI1)).
% 0.21/0.33  thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', emptysetsubset)).
% 0.21/0.33  thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', subsetTrans)).
% 0.21/0.33  thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', nonemptyImpWitness)).
% 0.21/0.33  thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', subPowSU)).
% 0.21/0.33  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.yFqBaL8CmS/E---3.1_2550968.p', setunionE)).
% 0.21/0.33  thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', singletonsswitch)).
% 0.21/0.33  thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', quantDeMorgan2)).
% 0.21/0.33  thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', quantDeMorgan1)).
% 0.21/0.33  thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', vacuousDall)).
% 0.21/0.33  thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', upairsetIR)).
% 0.21/0.33  thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', upairsetIL)).
% 0.21/0.33  thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', upairsetE)).
% 0.21/0.33  thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', quantDeMorgan3)).
% 0.21/0.33  thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', notdallE)).
% 0.21/0.33  thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', notdexE)).
% 0.21/0.33  thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', prop2setI)).
% 0.21/0.33  thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', quantDeMorgan4)).
% 0.21/0.33  thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', inCongP)).
% 0.21/0.33  thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setunion__Cong)).
% 0.21/0.33  thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', powerset__Cong)).
% 0.21/0.33  thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setadjoin__Cong)).
% 0.21/0.33  thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', emptyset__Cong)).
% 0.21/0.33  thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', in__Cong)).
% 0.21/0.33  thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', omega__Cong)).
% 0.21/0.33  thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', subsetI2)).
% 0.21/0.33  thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', eqimpsubset1)).
% 0.21/0.33  thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', eqimpsubset2)).
% 0.21/0.33  thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', subsetRefl)).
% 0.21/0.33  thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', notequalI2)).
% 0.21/0.33  thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', notequalI1)).
% 0.21/0.33  thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', notsubsetI)).
% 0.21/0.33  thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', subsetE2)).
% 0.21/0.33  thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', subsetE)).
% 0.21/0.33  thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setadjoinSub)).
% 0.21/0.33  thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', inPowerset)).
% 0.21/0.33  thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', powersetE1)).
% 0.21/0.33  thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', powersetI1)).
% 0.21/0.33  thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', subsetemptysetimpeq)).
% 0.21/0.33  thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setextsub)).
% 0.21/0.33  thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', subset2powerset)).
% 0.21/0.33  thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setadjoinSub2)).
% 0.21/0.33  thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', powersetsubset)).
% 0.21/0.33  thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binunionE)).
% 0.21/0.33  thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binunionEcases)).
% 0.21/0.33  thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binunionIR)).
% 0.21/0.33  thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', upairset2IR)).
% 0.21/0.33  thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binunionIL)).
% 0.21/0.33  thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binunionRsub)).
% 0.21/0.33  thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binintersectI)).
% 0.21/0.33  thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binintersectSubset5)).
% 0.21/0.33  thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binintersectEL)).
% 0.21/0.33  thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', binunionLsub)).
% 0.21/0.33  thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', emptysetimpfalse)).
% 0.21/0.33  thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', emptysetE)).
% 0.21/0.33  thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', prop2setE)).
% 0.21/0.33  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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', wellorderingAx)).
% 0.21/0.33  thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', foundationAx)).
% 0.21/0.33  thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.yFqBaL8CmS/E---3.1_2550968.p', omegaIndAx)).
% 0.21/0.33  thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', omegaSAx)).
% 0.21/0.33  thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', omega0Ax)).
% 0.21/0.33  thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setunionAx)).
% 0.21/0.33  thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', powersetAx)).
% 0.21/0.33  thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setadjoinAx)).
% 0.21/0.33  thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', emptysetAx)).
% 0.21/0.33  thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.yFqBaL8CmS/E---3.1_2550968.p', setextAx)).
% 0.21/0.33  thf(c_0_140, 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)=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[upairset2E])).
% 0.21/0.33  thf(c_0_141, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.21/0.33  thf(c_0_142, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.21/0.33  thf(c_0_143, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.21/0.33  thf(c_0_144, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.21/0.33  thf(c_0_145, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.21/0.33  thf(c_0_146, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.21/0.33  thf(c_0_147, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.21/0.33  thf(c_0_148, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.21/0.33  thf(c_0_149, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 0.21/0.33  thf(c_0_150, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.21/0.33  thf(c_0_151, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.21/0.33  thf(c_0_152, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 0.21/0.33  thf(c_0_153, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.21/0.33  thf(c_0_154, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 0.21/0.33  thf(c_0_155, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.21/0.33  thf(c_0_156, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.21/0.33  thf(c_0_157, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.21/0.33  thf(c_0_158, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.21/0.33  thf(c_0_159, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.21/0.33  thf(c_0_160, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.21/0.33  thf(c_0_161, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.21/0.33  thf(c_0_162, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.21/0.33  thf(c_0_163, plain, ((epred1_0)<=>![X421:$i]:(?[X422:$i]:((((![X423:$i]:(((in @ X423 @ X422)=>![X424:$i]:(((in @ X424 @ X423)=>(in @ X424 @ X421)))))&![X425:$i, X426:$i]:((((in @ X425 @ X421)&(in @ X426 @ X421))=>(![X427:$i]:(((in @ X427 @ X422)=>((in @ X425 @ X427)<=>(in @ X426 @ X427))))=>((X425)=(X426))))))&![X428:$i, X429:$i]:((((in @ X428 @ X422)&(in @ X429 @ X422))=>(![X430:$i]:(((in @ X430 @ X428)=>(in @ X430 @ X429)))|![X431:$i]:(((in @ X431 @ X429)=>(in @ X431 @ X428)))))))&![X432:$i]:(((![X433:$i]:(((in @ X433 @ X432)=>(in @ X433 @ X421)))&?[X434:$i]:((in @ X434 @ X432)))=>?[X435:$i, X436:$i]:(((((in @ X435 @ X422)&(in @ X436 @ X432))&~(?[X437:$i]:(((in @ X437 @ X435)&(in @ X437 @ X432)))))&![X438:$i]:(((in @ X438 @ X422)=>(![X439:$i]:(((in @ X439 @ X438)=>(in @ X439 @ X435)))|(in @ X436 @ X438)))))))))))), introduced(definition)).
% 0.21/0.33  thf(c_0_164, negated_conjecture, ~((![X394:$i, X395:$i]:((![X396:$i]:(((in @ X396 @ X394)<=>(in @ X396 @ X395)))=>((X394)=(X395))))=>(![X397:$i]:(~(in @ X397 @ emptyset))=>(![X398:$i, X399:$i, X400:$i]:(((in @ X400 @ (setadjoin @ X398 @ X399))<=>(((X400)=(X398))|(in @ X400 @ X399))))=>(![X401:$i, X402:$i]:(((in @ X402 @ (powerset @ X401))<=>![X403:$i]:(((in @ X403 @ X402)=>(in @ X403 @ X401)))))=>(![X404:$i, X405:$i]:(((in @ X405 @ (setunion @ X404))<=>?[X406:$i]:(((in @ X405 @ X406)&(in @ X406 @ X404)))))=>((in @ emptyset @ omega)=>(![X407:$i]:(((in @ X407 @ omega)=>(in @ (setadjoin @ X407 @ X407) @ omega)))=>(![X408:$i]:((((in @ emptyset @ X408)&![X409:$i]:((((in @ X409 @ omega)&(in @ X409 @ X408))=>(in @ (setadjoin @ X409 @ X409) @ X408))))=>![X410:$i]:(((in @ X410 @ omega)=>(in @ X410 @ X408)))))=>(![X411:$i > $i > $o, X412:$i]:((![X413:$i]:(((in @ X413 @ X412)=>(exu @ (X411 @ X413))))=>?[X414:$i]:(![X415:$i]:(((in @ X415 @ X414)<=>?[X416:$i]:(((in @ X416 @ X412)&(X411 @ X416 @ X415))))))))=>(![X417:$i]:((?[X418:$i]:((in @ X418 @ X417))=>?[X419:$i]:(((in @ X419 @ X417)&~(?[X420:$i]:(((in @ X420 @ X419)&(in @ X420 @ X417))))))))=>((epred1_0)=>(![X440:$i > $o]:(((exu @ X440)=>(X440 @ (descr @ (^[Z0:$i]:(X440 @ Z0))))))=>(![X441:$i, X442:$i > $o, X443:$i]:(((in @ X443 @ X441)=>((X442 @ X443)=>(in @ X443 @ (dsetconstr @ X441 @ X442)))))=>(![X444:$i, X445:$i > $o, X446:$i]:(((in @ X446 @ (dsetconstr @ X444 @ X445))=>(in @ X446 @ X444)))=>(![X447:$i, X448:$i > $o, X449:$i]:(((in @ X449 @ (dsetconstr @ X447 @ X448))=>(X448 @ X449)))=>(![X450:$i > $o]:(((exu @ X450)=>?[X451:$i]:(((X450 @ X451)&![X452:$i]:(((X450 @ X452)=>((X451)=(X452))))))))=>(![X453:$o, X454:$i]:(((in @ X454 @ (prop2set @ ((X453))))=>(X453)))=>(![X455:$i]:(((in @ X455 @ emptyset)=>![X456:$o]:((X456))))=>(![X457:$i]:(((in @ X457 @ emptyset)=>~($true)))=>(![X458:$i]:(~(in @ X458 @ emptyset))=>(![X459:$i > $o]:(((exu @ X459)=>?[X460:$i]:((X459 @ X460))))=>(![X461:$i, X462:$i]:((![X463:$i]:(((in @ X463 @ X461)=>(in @ X463 @ X462)))=>(![X464:$i]:(((in @ X464 @ X462)=>(in @ X464 @ X461)))=>((X461)=(X462)))))=>(![X465:$i]:((![X466:$i]:(~(in @ X466 @ X465))=>((X465)=(emptyset))))=>(![X467:$i]:((![X468:$i]:(~(in @ X468 @ X467))=>((X467)=(emptyset))))=>(![X469:$i, X470:$i > $o, X471:$i]:(((in @ X471 @ X469)=>((in @ X471 @ (dsetconstr @ X469 @ X470))<=>(X470 @ X471))))=>(![X472:$i]:(((nonempty @ X472)=>?[X473:$i]:((in @ X473 @ X472))))=>(![X474:$i, X475:$i > $o, X476:$i]:(((in @ X476 @ X474)=>((X475 @ X476)=>(nonempty @ (dsetconstr @ X474 @ X475)))))=>(![X477:$i]:((?[X478:$i]:((in @ X478 @ X477))=>(nonempty @ X477)))=>(![X479:$i, X480:$i]:((in @ X479 @ (setadjoin @ X479 @ X480)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X481:$i, X482:$i, X483:$i]:(((in @ X483 @ X482)=>(in @ X483 @ (setadjoin @ X481 @ X482))))=>(![X484:$i, X485:$i, X486:$i]:(((in @ X486 @ (setadjoin @ X484 @ X485))=>![X487:$o]:(((((X486)=(X484))=>(X487))=>(((in @ X486 @ 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setadjoinIL]), binintersectSubset3]), binintersectLsub]), binintersectSubset2]), binintersectER]), disjointsetsI1]), setext]), binintersectRsub]), c_0_141]), binintersectSubset4]), emptyI]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), notinemptyset]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), emptyinunitempty]), symdiffI2]), notinsingleton]), uniqinunit]), symdiffIneg1]), nonemptyI1]), symdiffIneg2]), c_0_142]), secondinupair]), nonemptyE1]), setukpairIL]), c_0_143]), setukpairIR]), noeltsimpempty]), kpairiskpair]), setadjoinIR]), kpairp]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), c_0_144]), setadjoinOr]), setadjoinE]), setunionI]), eqinunit]), subsetI1]), c_0_145]), c_0_146]), c_0_147]), emptysetsubset]), subsetTrans]), nonemptyImpWitness]), c_0_148]), subPowSU]), setunionE]), singletonsswitch]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), c_0_149]), upairsetIR]), upairsetIL]), upairsetE]), quantDeMorgan3]), c_0_150]), c_0_151]), c_0_152]), notdallE]), notdexE]), prop2setI]), quantDeMorgan4]), inCongP]), setunion__Cong]), powerset__Cong]), setadjoin__Cong]), emptyset__Cong]), c_0_153]), c_0_154]), in__Cong]), omega__Cong]), subsetI2]), eqimpsubset1]), eqimpsubset2]), subsetRefl]), notequalI2]), notequalI1]), notsubsetI]), subsetE2]), subsetE]), setadjoinSub]), inPowerset]), powersetE1]), powersetI1]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub2]), powersetsubset]), binunionE]), binunionEcases]), binunionIR]), upairset2IR]), binunionIL]), c_0_155]), c_0_156]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binunionLsub]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_157]), c_0_158]), c_0_159]), c_0_160]), c_0_161]), wellorderingAx]), foundationAx]), c_0_162]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_163])).
% 0.21/0.33  thf(c_0_165, negated_conjecture, ![X764:$i, X765:$i, X767:$i, X768:$i, X769:$i, X770:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i, X777:$i, X778:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X786:$i, X787:$i > $i > $o, X788:$i, X791:$i, X793:$i, X794:$i, X795:$i, X796:$i, X798:$i, X799:$i > $o, X800:$i, X801:$i > $o, X802:$i, X803:$i, X804:$i > $o, X805:$i, X806:$i, X807:$i > $o, X808:$i, X809:$i > $o, X811:$i, X812:$o, X813:$i, X814:$i, X815:$o, X816:$i, X817:$i, X818:$i > $o, X820:$i, X821:$i, X824:$i, X826:$i, X828:$i, X829:$i > $o, X830:$i, X831:$i, X833:$i, X834:$i > $o, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$o, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$o, X866:$i, X867:$i, X868:$i > $o, X870:$i, X871:$i, X872:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X890:$i > $o, X891:$i, X892:$i > $o, X893:$i, X894:$i, X895:$i > $o, X896:$i, X898:$i, X899:$i > $o, X901:$i, X902:$i, X903:$i > $o, X905:$i, X906:$i, X907:$i > $o, X908:$i, X910:$o, X911:$i, X912:$i > $o, X914:$i, X915:$i, X916:$i > $o, X917:$i, X919:$i > $o, X920:$i, X922:$i > $o, X923:$i, X926:$i > $o, X927:$i, X929:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i > $o, X938:$i, X939:$i, X940:$i > $o, X941:$i > $o, X944:$i, X945:$i, X946:$i, X947:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i > $o, X953:$i, X954:$i, X955:$i > $o, X956:$i > $o, X959:$i, X960:$i, X961:$i > $o, X962:$i > $o, X965:$i, X966:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i > $o, X1013:$i, X1014:$i > $o, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$o, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i, X1072:$i, X1073:$i, X1074:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$i, X1083:$i, X1084:$i, X1085:$i, X1086:$i, X1087:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$o, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1112:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i]:((((~(in @ (esk1_2 @ X764 @ X765) @ X764)|~(in @ (esk1_2 @ X764 @ X765) @ X765)|((X764)=(X765)))&((in @ (esk1_2 @ X764 @ X765) @ X764)|(in @ (esk1_2 @ X764 @ X765) @ X765)|((X764)=(X765))))&(~(in @ X767 @ emptyset)&(((~(in @ X770 @ (setadjoin @ X768 @ X769))|(((X770)=(X768))|(in @ X770 @ X769)))&((((X770)!=(X768))|(in @ X770 @ (setadjoin @ X768 @ X769)))&(~(in @ X770 @ X769)|(in @ X770 @ (setadjoin @ X768 @ X769)))))&(((~(in @ X772 @ (powerset @ X771))|(~(in @ X773 @ X772)|(in @ X773 @ X771)))&(((in @ (esk2_2 @ X774 @ X775) @ X775)|(in @ X775 @ (powerset @ X774)))&(~(in @ (esk2_2 @ X774 @ X775) @ X774)|(in @ X775 @ (powerset @ X774)))))&(((((in @ X778 @ (esk3_2 @ X777 @ X778))|~(in @ X778 @ (setunion @ X777)))&((in @ (esk3_2 @ X777 @ X778) @ X777)|~(in @ X778 @ (setunion @ X777))))&(~(in @ X781 @ X782)|~(in @ X782 @ X780)|(in @ X781 @ (setunion @ X780))))&((in @ emptyset @ omega)&((~(in @ X783 @ omega)|(in @ (setadjoin @ X783 @ X783) @ omega))&(((((in @ (esk4_1 @ X784) @ omega)|~(in @ emptyset @ X784)|(~(in @ X786 @ omega)|(in @ X786 @ X784)))&((in @ (esk4_1 @ X784) @ X784)|~(in @ emptyset @ X784)|(~(in @ X786 @ omega)|(in @ X786 @ X784))))&(~(in @ (setadjoin @ (esk4_1 @ X784) @ (esk4_1 @ X784)) @ X784)|~(in @ emptyset @ X784)|(~(in @ X786 @ omega)|(in @ X786 @ X784))))&((((((in @ (esk7_3 @ X787 @ X788 @ X791) @ X788)|~(in @ X791 @ (esk6_2 @ X787 @ X788))|(in @ (esk5_2 @ X787 @ X788) @ X788))&((X787 @ (esk7_3 @ X787 @ X788 @ X791) @ X791)|~(in @ X791 @ (esk6_2 @ X787 @ X788))|(in @ (esk5_2 @ X787 @ X788) @ X788)))&(~(in @ X794 @ X788)|~(X787 @ X794 @ X793)|(in @ X793 @ (esk6_2 @ X787 @ X788))|(in @ (esk5_2 @ X787 @ X788) @ X788)))&((((in @ (esk7_3 @ X787 @ X788 @ X791) @ X788)|~(in @ X791 @ (esk6_2 @ X787 @ X788))|~(exu @ (X787 @ (esk5_2 @ X787 @ X788))))&((X787 @ (esk7_3 @ X787 @ X788 @ X791) @ X791)|~(in @ X791 @ (esk6_2 @ X787 @ X788))|~(exu @ (X787 @ (esk5_2 @ X787 @ X788)))))&(~(in @ X794 @ X788)|~(X787 @ X794 @ X793)|(in @ X793 @ (esk6_2 @ X787 @ X788))|~(exu @ (X787 @ (esk5_2 @ X787 @ X788))))))&((((in @ (esk8_1 @ X795) @ X795)|~(in @ X796 @ X795))&(~(in @ X798 @ (esk8_1 @ X795))|~(in @ X798 @ X795)|~(in @ X796 @ X795)))&((epred1_0)&((~(exu @ X799)|(X799 @ (descr @ X799)))&((~(in @ X802 @ X800)|(~(X801 @ X802)|(in @ X802 @ (dsetconstr @ X800 @ X801))))&((~(in @ X805 @ (dsetconstr @ X803 @ X804))|(in @ X805 @ X803))&((~(in @ X808 @ (dsetconstr @ X806 @ X807))|(X807 @ X808))&((((X809 @ (esk9_1 @ X809))|~(exu @ X809))&(~(X809 @ X811)|((esk9_1 @ X809)=(X811))|~(exu @ X809)))&((~(in @ X813 @ (prop2set @ ((X812))))|(X812))&((~(in @ X814 @ emptyset)|(X815))&((~(in @ X816 @ emptyset)|~($true))&(~(in @ X817 @ emptyset)&((~(exu @ X818)|(X818 @ (esk10_1 @ X818)))&(((((in @ (esk12_2 @ X820 @ X821) @ X821)|((X820)=(X821))|(in @ (esk11_2 @ X820 @ X821) @ X820))&(~(in @ (esk12_2 @ X820 @ X821) @ X820)|((X820)=(X821))|(in @ (esk11_2 @ X820 @ X821) @ X820)))&(((in @ (esk12_2 @ X820 @ X821) @ X821)|((X820)=(X821))|~(in @ (esk11_2 @ X820 @ X821) @ X821))&(~(in @ (esk12_2 @ X820 @ X821) @ X820)|((X820)=(X821))|~(in @ (esk11_2 @ X820 @ X821) @ X821))))&(((in @ (esk13_1 @ X824) @ X824)|((X824)=(emptyset)))&(((in @ (esk14_1 @ X826) @ X826)|((X826)=(emptyset)))&(((~(in @ X830 @ (dsetconstr @ X828 @ X829))|(X829 @ X830)|~(in @ X830 @ X828))&(~(X829 @ X830)|(in @ X830 @ (dsetconstr @ X828 @ X829))|~(in @ X830 @ X828)))&((~(nonempty @ X831)|(in @ (esk15_1 @ X831) @ X831))&((~(in @ X835 @ X833)|(~(X834 @ X835)|(nonempty @ (dsetconstr @ X833 @ X834))))&((~(in @ X837 @ X836)|(nonempty @ X836))&((in @ X838 @ (setadjoin @ X838 @ X839))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X842 @ X841)|(in @ X842 @ (setadjoin @ X840 @ X841)))&(((((in @ X845 @ X844)|(X846)|((X845)=(X843))|~(in @ X845 @ (setadjoin @ X843 @ X844)))&(~(X846)|(X846)|((X845)=(X843))|~(in @ X845 @ (setadjoin @ X843 @ X844))))&(((in @ X845 @ X844)|(X846)|~(X846)|~(in @ X845 @ (setadjoin @ X843 @ X844)))&(~(X846)|(X846)|~(X846)|~(in @ X845 @ (setadjoin @ X843 @ X844)))))&((~(in @ X849 @ (setadjoin @ X847 @ X848))|(((X849)=(X847))|(in @ X849 @ X848)))&(((dsetconstr @ X850 @ (^[Z0:$i]:($true)))=(X850))&((((in @ (esk16_2 @ X851 @ X852) @ X852)|(in @ X852 @ (powerset @ X851)))&(~(in @ (esk16_2 @ X851 @ X852) @ X851)|(in @ X852 @ (powerset @ X851))))&((in @ emptyset @ (powerset @ X854))&((in @ emptyset @ (powerset @ X855))&((~(in @ X857 @ (powerset @ X856))|(~(in @ X858 @ X857)|(in @ X858 @ X856)))&((~(in @ X860 @ X861)|(~(in @ X861 @ X859)|(in @ X860 @ (setunion @ X859))))&((((in @ X863 @ (esk17_3 @ X862 @ X863 @ X864))|(X864)|~(in @ X863 @ (setunion @ X862)))&(((in @ (esk17_3 @ X862 @ X863 @ X864) @ X862)|(X864)|~(in @ X863 @ (setunion @ X862)))&(~(X864)|(X864)|~(in @ X863 @ (setunion @ X862)))))&((~(in @ X867 @ X866)|(in @ X867 @ (powerset @ (setunion @ X866))))&(((~(X868 @ X870)|((X870)=(esk18_1 @ X868))|~(exu @ X868))&(((X871)!=(esk18_1 @ X868))|(X868 @ X871)|~(exu @ X868)))&((((in @ (esk19_1 @ X872) @ X872)|~(nonempty @ X872))&(($true)|~(nonempty @ X872)))&((~(in @ X874 @ (setadjoin @ X875 @ emptyset))|((X874)=(X875)))&((((X876)=(X877))|~(in @ X877 @ (setadjoin @ X876 @ emptyset)))&((((X878)!=(X879))|(in @ X878 @ (setadjoin @ X879 @ emptyset)))&((~(in @ X880 @ (setadjoin @ X881 @ emptyset))|(in @ X881 @ (setadjoin @ X880 @ emptyset)))&((~(in @ X884 @ (setadjoin @ X882 @ (setadjoin @ X883 @ emptyset)))|(((X884)=(X882))|((X884)=(X883))))&((in @ X885 @ (setadjoin @ X885 @ (setadjoin @ X886 @ emptyset)))&((in @ X888 @ (setadjoin @ X887 @ (setadjoin @ X888 @ emptyset)))&((~(in @ X891 @ X889)|~(X890 @ X891)|(((dsetconstr @ X889 @ X890)!=(emptyset))|~($true)))&((~(in @ X893 @ emptyset)|(X892 @ X893))&((((in @ (esk20_2 @ X894 @ X895) @ X894)|(~(in @ X896 @ X894)|(X895 @ X896)))&(~(X895 @ (esk20_2 @ X894 @ X895))|(~(in @ X896 @ X894)|(X895 @ X896))))&((((in @ (esk21_2 @ X898 @ X899) @ X898)|(~(in @ X901 @ X898)|~(X899 @ X901)))&((X899 @ (esk21_2 @ X898 @ X899))|(~(in @ X901 @ X898)|~(X899 @ X901))))&((((in @ (esk22_2 @ X902 @ X903) @ X902)|(~(in @ X905 @ X902)|~(X903 @ X905)))&((X903 @ (esk22_2 @ X902 @ X903))|(~(in @ X905 @ X902)|~(X903 @ X905))))&((((in @ (esk23_2 @ X906 @ X907) @ X906)|(~(in @ X908 @ X906)|(X907 @ X908)))&(~(X907 @ (esk23_2 @ X906 @ X907))|(~(in @ X908 @ X906)|(X907 @ X908))))&((~(X910)|(in @ emptyset @ (prop2set @ ((X910)))))&((prop2set2propI)&((((in @ (esk24_2 @ X911 @ X912) @ X911)|(~(in @ X914 @ X911)|~(X912 @ X914)))&((X912 @ (esk24_2 @ X911 @ X912))|(~(in @ X914 @ X911)|~(X912 @ X914))))&((((in @ (esk25_2 @ X915 @ X916) @ X915)|(~(in @ X917 @ X915)|(X916 @ X917)))&(~(X916 @ (esk25_2 @ X915 @ X916))|(~(in @ X917 @ X915)|(X916 @ X917))))&((((X919 @ (esk26_2 @ X919 @ X920))|~(X919 @ X920)|(exu @ X919))&(((X920)!=(esk26_2 @ X919 @ X920))|~(X919 @ X920)|(exu @ X919)))&((((X922 @ (esk27_1 @ X922))|(exu @ X922)|~(X922 @ X923))&(((X922 @ (esk28_1 @ X922))|(exu @ X922)|~(X922 @ X923))&(((esk27_1 @ X922)!=(esk28_1 @ X922))|(exu @ X922)|~(X922 @ X923))))&(((~(X926 @ (esk29_2 @ X926 @ X927))|((esk29_2 @ X926 @ X927)!=(X927))|(exu @ X926))&((X926 @ (esk29_2 @ X926 @ X927))|((esk29_2 @ X926 @ X927)=(X927))|(exu @ X926)))&((((X929)!=(X930))|(((X931)!=(X932))|(~(in @ X931 @ X929)|(in @ X932 @ X930))))&(((~(in @ X935 @ X933)|(in @ X936 @ X934)|((X935)!=(X936))|((X933)!=(X934)))&(~(in @ X936 @ X934)|(in @ X935 @ X933)|((X935)!=(X936))|((X933)!=(X934))))&((~(exu @ X937)|(~(X937 @ X938)|(~(X937 @ X939)|((X938)=(X939)))))&((((~(exu @ X940)|(exu @ X941)|((esk30_2 @ X940 @ X941)=(esk31_2 @ X940 @ X941)))&(~(exu @ X941)|(exu @ X940)|((esk30_2 @ X940 @ X941)=(esk31_2 @ X940 @ X941))))&(((~(exu @ X940)|(exu @ X941)|(~(X940 @ (esk30_2 @ X940 @ X941))|~(X941 @ (esk31_2 @ X940 @ X941))))&(~(exu @ X941)|(exu @ X940)|(~(X940 @ (esk30_2 @ X940 @ X941))|~(X941 @ (esk31_2 @ X940 @ X941)))))&((~(exu @ X940)|(exu @ X941)|((X940 @ (esk30_2 @ X940 @ X941))|(X941 @ (esk31_2 @ X940 @ X941))))&(~(exu @ X941)|(exu @ X940)|((X940 @ (esk30_2 @ X940 @ X941))|(X941 @ (esk31_2 @ X940 @ X941)))))))&(((emptyset)=(emptyset))&((((X944)!=(X945))|(((X946)!=(X947))|((setadjoin @ X944 @ X946)=(setadjoin @ X945 @ X947))))&((((X948)!=(X949))|((powerset @ X948)=(powerset @ X949)))&((((X950)!=(X951))|((setunion @ X950)=(setunion @ X951)))&(((omega)=(omega))&((~(exu @ X952)|(~(X952 @ X953)|(~(X952 @ X954)|((X953)=(X954)))))&(((((esk32_2 @ X955 @ X956)=(esk33_2 @ X955 @ X956))|(~(exu @ X955)|(~(exu @ X956)|((descr @ X955)=(descr @ X956)))))&((~(X955 @ (esk32_2 @ X955 @ X956))|~(X956 @ (esk33_2 @ X955 @ X956))|(~(exu @ X955)|(~(exu @ X956)|((descr @ X955)=(descr @ X956)))))&((X955 @ (esk32_2 @ X955 @ X956))|(X956 @ (esk33_2 @ X955 @ X956))|(~(exu @ X955)|(~(exu @ X956)|((descr @ X955)=(descr @ X956)))))))&((((in @ (esk34_4 @ X959 @ X960 @ X961 @ X962) @ X959)|((dsetconstr @ X959 @ X961)=(dsetconstr @ X960 @ X962))|((X959)!=(X960)))&(((in @ (esk35_4 @ X959 @ X960 @ X961 @ X962) @ X960)|((dsetconstr @ X959 @ X961)=(dsetconstr @ X960 @ X962))|((X959)!=(X960)))&((((esk34_4 @ X959 @ X960 @ X961 @ X962)=(esk35_4 @ X959 @ X960 @ X961 @ X962))|((dsetconstr @ X959 @ X961)=(dsetconstr @ X960 @ X962))|((X959)!=(X960)))&((~(X961 @ (esk34_4 @ X959 @ X960 @ X961 @ X962))|~(X962 @ (esk35_4 @ X959 @ X960 @ X961 @ X962))|((dsetconstr @ X959 @ X961)=(dsetconstr @ X960 @ X962))|((X959)!=(X960)))&((X961 @ (esk34_4 @ X959 @ X960 @ X961 @ X962))|(X962 @ (esk35_4 @ X959 @ X960 @ X961 @ X962))|((dsetconstr @ X959 @ X961)=(dsetconstr @ X960 @ X962))|((X959)!=(X960)))))))&((((in @ (esk36_2 @ X965 @ X966) @ X965)|(subset @ X965 @ X966))&(~(in @ (esk36_2 @ X965 @ X966) @ X966)|(subset @ X965 @ X966)))&((((X968)!=(X969))|(subset @ X969 @ X968))&((((X970)!=(X971))|(subset @ X970 @ X971))&((((in @ (esk37_2 @ X972 @ X973) @ X972)|(subset @ X972 @ X973))&(~(in @ (esk37_2 @ X972 @ X973) @ X973)|(subset @ X972 @ X973)))&((subset @ emptyset @ X975)&((~(subset @ X976 @ X977)|(~(in @ X978 @ X976)|(in @ X978 @ X977)))&((~(subset @ X979 @ X980)|((in @ X981 @ X980)|~(in @ X981 @ X979)))&((~(in @ X984 @ X982)|((in @ X984 @ X983)|~(subset @ X982 @ X983)))&(((subset @ X985 @ X986)|((X985)!=(X986)))&((~(in @ X989 @ X987)|((in @ X989 @ X988)|((X987)!=(X988))))&((subset @ X990 @ X990)&((~(subset @ X991 @ X992)|(~(subset @ X992 @ X993)|(subset @ X991 @ X993)))&((subset @ X995 @ (setadjoin @ X994 @ X995))&((~(subset @ X996 @ X998)|(subset @ X996 @ (setadjoin @ X997 @ X998)))&((~(subset @ X999 @ X1000)|(in @ X999 @ (powerset @ X1000)))&((~(subset @ X1001 @ X1002)|(~(subset @ X1002 @ X1001)|((X1001)=(X1002))))&((~(subset @ X1003 @ emptyset)|((X1003)=(emptyset)))&((~(subset @ X1005 @ X1004)|(in @ X1005 @ (powerset @ X1004)))&((~(in @ X1007 @ (powerset @ X1006))|(subset @ X1007 @ X1006))&((in @ X1008 @ (powerset @ X1008))&((~(subset @ X1009 @ X1010)|(subset @ (powerset @ X1009) @ (powerset @ X1010)))&((in @ (dsetconstr @ X1011 @ X1012) @ (powerset @ X1011))&((subset @ (dsetconstr @ X1013 @ X1014) @ X1013)&((~(in @ X1017 @ X1015)|(in @ X1017 @ (binunion @ X1015 @ X1016)))&((in @ X1019 @ (setadjoin @ X1018 @ (setadjoin @ X1019 @ emptyset)))&((~(in @ X1022 @ X1021)|(in @ X1022 @ (binunion @ X1020 @ X1021)))&(((((in @ X1025 @ X1024)|(X1026)|(in @ X1025 @ X1023)|~(in @ X1025 @ (binunion @ X1023 @ X1024)))&(~(X1026)|(X1026)|(in @ X1025 @ X1023)|~(in @ X1025 @ (binunion @ X1023 @ X1024))))&(((in @ X1025 @ X1024)|(X1026)|~(X1026)|~(in @ X1025 @ (binunion @ X1023 @ X1024)))&(~(X1026)|(X1026)|~(X1026)|~(in @ X1025 @ (binunion @ X1023 @ X1024)))))&((~(in @ X1029 @ (binunion @ X1027 @ X1028))|((in @ X1029 @ X1027)|(in @ X1029 @ X1028)))&((subset @ X1030 @ (binunion @ X1030 @ X1031))&((subset @ X1033 @ (binunion @ X1032 @ X1033))&((~(in @ X1036 @ X1034)|(~(in @ X1036 @ X1035)|(in @ X1036 @ (binintersect @ X1034 @ X1035))))&((~(subset @ X1039 @ X1037)|(~(subset @ X1039 @ X1038)|(subset @ X1039 @ (binintersect @ X1037 @ X1038))))&((~(in @ X1042 @ (binintersect @ X1040 @ X1041))|(in @ X1042 @ X1040))&((subset @ (binintersect @ X1043 @ X1044) @ X1043)&((~(subset @ X1045 @ X1046)|((binintersect @ X1045 @ X1046)=(X1045)))&((((binintersect @ X1047 @ X1048)!=(X1048))|(subset @ X1048 @ X1047))&((~(in @ X1051 @ (binintersect @ X1049 @ X1050))|(in @ X1051 @ X1050))&((((in @ (esk38_2 @ X1052 @ X1053) @ X1052)|((binintersect @ X1052 @ X1053)=(emptyset)))&((in @ (esk38_2 @ X1052 @ X1053) @ X1053)|((binintersect @ X1052 @ X1053)=(emptyset))))&((subset @ (binintersect @ X1055 @ X1056) @ X1056)&((~(subset @ X1058 @ X1057)|((binintersect @ X1057 @ X1058)=(X1058)))&((((binintersect @ X1059 @ X1060)!=(X1059))|(subset @ X1059 @ X1060))&(((binintersect @ X1061 @ (binunion @ X1062 @ X1063))=(binunion @ (binintersect @ X1061 @ X1062) @ (binintersect @ X1061 @ X1063)))&((~(in @ X1066 @ X1064)|((in @ X1066 @ X1065)|(in @ X1066 @ (setminus @ X1064 @ X1065))))&((~(in @ X1069 @ (setminus @ X1067 @ X1068))|(in @ X1069 @ X1067))&((~(in @ X1072 @ (setminus @ X1070 @ X1071))|~(in @ X1072 @ X1071))&((~(subset @ X1073 @ X1074)|((setminus @ X1073 @ X1074)=(emptyset)))&(((in @ X1077 @ (setminus @ X1075 @ X1076))|(~(in @ X1077 @ X1075)|(in @ X1077 @ X1076)))&(((in @ X1080 @ (setminus @ X1078 @ X1079))|((in @ X1080 @ X1079)|~(in @ X1080 @ X1078)))&(((in @ X1083 @ X1081)|~(in @ X1083 @ (setminus @ X1081 @ X1082)))&((~(in @ X1086 @ X1085)|~(in @ X1086 @ (setminus @ X1084 @ X1085)))&((subset @ (setminus @ X1087 @ X1088) @ X1087)&((((setminus @ X1089 @ X1090)!=(emptyset))|(subset @ X1089 @ X1090))&((((~(in @ X1093 @ X1091)|(X1094)|(in @ X1093 @ X1091)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(((in @ X1093 @ X1092)|(X1094)|(in @ X1093 @ X1091)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(~(X1094)|(X1094)|(in @ X1093 @ X1091)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))))&(((~(in @ X1093 @ X1091)|(X1094)|~(in @ X1093 @ X1092)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(((in @ X1093 @ X1092)|(X1094)|~(in @ X1093 @ X1092)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(~(X1094)|(X1094)|~(in @ X1093 @ X1092)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))))&((~(in @ X1093 @ X1091)|(X1094)|~(X1094)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(((in @ X1093 @ X1092)|(X1094)|~(X1094)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))&(~(X1094)|(X1094)|~(X1094)|~(in @ X1093 @ (symdiff @ X1091 @ X1092)))))))&((~(in @ X1097 @ X1095)|((in @ X1097 @ X1096)|(in @ X1097 @ (symdiff @ X1095 @ X1096))))&(((in @ X1100 @ X1098)|(~(in @ X1100 @ X1099)|(in @ X1100 @ (symdiff @ X1098 @ X1099))))&((~(in @ X1103 @ X1101)|(~(in @ X1103 @ X1102)|~(in @ X1103 @ (symdiff @ X1101 @ X1102))))&(((in @ X1106 @ X1104)|((in @ X1106 @ X1105)|~(in @ X1106 @ (symdiff @ X1104 @ X1105))))&((in @ X1108 @ (setadjoin @ X1107 @ (setadjoin @ X1108 @ emptyset)))&((in @ X1109 @ (setunion @ (setadjoin @ (setadjoin @ X1109 @ emptyset) @ (setadjoin @ (setadjoin @ X1109 @ (setadjoin @ X1110 @ emptyset)) @ emptyset))))&((in @ X1112 @ (setunion @ (setadjoin @ (setadjoin @ X1111 @ emptyset) @ (setadjoin @ (setadjoin @ X1111 @ (setadjoin @ X1112 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1113 @ emptyset) @ (setadjoin @ (setadjoin @ X1113 @ (setadjoin @ X1114 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1115 @ X1116))&((~(in @ X1118 @ X1117)|(subset @ (setadjoin @ X1118 @ emptyset) @ X1117))&((~(in @ X1120 @ X1119)|(in @ (setadjoin @ X1120 @ emptyset) @ (powerset @ X1119)))&((~(in @ X1123 @ X1121)|(in @ (setadjoin @ X1123 @ emptyset) @ (powerset @ (binunion @ X1121 @ X1122))))&((in @ esk41_0 @ (setadjoin @ esk39_0 @ (setadjoin @ esk40_0 @ emptyset)))&(((esk41_0)!=(esk39_0))&((esk41_0)!=(esk40_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_164])])])])])])])).
% 0.21/0.34  thf(c_0_166, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ X3)|((X2)=(X4))|~((in @ X2 @ (setadjoin @ X4 @ X3))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_165])])])).
% 0.21/0.34  thf(c_0_167, negated_conjecture, (in @ esk41_0 @ (setadjoin @ esk39_0 @ (setadjoin @ esk40_0 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_165])).
% 0.21/0.34  thf(c_0_168, negated_conjecture, ((esk41_0)!=(esk39_0)), inference(split_conjunct,[status(thm)],[c_0_165])).
% 0.21/0.34  thf(c_0_169, negated_conjecture, (in @ esk41_0 @ (setadjoin @ esk40_0 @ emptyset)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_167]), c_0_168])).
% 0.21/0.34  thf(c_0_170, negated_conjecture, ((esk41_0)!=(esk40_0)), inference(split_conjunct,[status(thm)],[c_0_165])).
% 0.21/0.34  thf(c_0_171, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_165])).
% 0.21/0.34  thf(c_0_172, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_169]), c_0_170]), c_0_171]), ['proof']).
% 0.21/0.34  % SZS output end CNFRefutation
% 0.21/0.34  % Parsed axioms                        : 309
% 0.21/0.34  % Removed by relevancy pruning/SinE    : 169
% 0.21/0.34  % Initial clauses                      : 222
% 0.21/0.34  % Removed in clause preprocessing      : 25
% 0.21/0.34  % Initial clauses in saturation        : 197
% 0.21/0.34  % Processed clauses                    : 673
% 0.21/0.34  % ...of these trivial                  : 22
% 0.21/0.34  % ...subsumed                          : 356
% 0.21/0.34  % ...remaining for further processing  : 295
% 0.21/0.34  % Other redundant clauses eliminated   : 25
% 0.21/0.34  % Clauses deleted for lack of memory   : 0
% 0.21/0.34  % Backward-subsumed                    : 65
% 0.21/0.34  % Backward-rewritten                   : 6
% 0.21/0.34  % Generated clauses                    : 2678
% 0.21/0.34  % ...of the previous two non-redundant : 2337
% 0.21/0.34  % ...aggressively subsumed             : 0
% 0.21/0.34  % Contextual simplify-reflections      : 0
% 0.21/0.34  % Paramodulations                      : 2653
% 0.21/0.34  % Factorizations                       : 0
% 0.21/0.34  % NegExts                              : 0
% 0.21/0.34  % Equation resolutions                 : 25
% 0.21/0.34  % Disequality decompositions           : 0
% 0.21/0.34  % Total rewrite steps                  : 332
% 0.21/0.34  % ...of those cached                   : 258
% 0.21/0.34  % Propositional unsat checks           : 0
% 0.21/0.34  %    Propositional check models        : 0
% 0.21/0.34  %    Propositional check unsatisfiable : 0
% 0.21/0.34  %    Propositional clauses             : 0
% 0.21/0.34  %    Propositional clauses after purity: 0
% 0.21/0.34  %    Propositional unsat core size     : 0
% 0.21/0.34  %    Propositional preprocessing time  : 0.000
% 0.21/0.34  %    Propositional encoding time       : 0.000
% 0.21/0.34  %    Propositional solver time         : 0.000
% 0.21/0.34  %    Success case prop preproc time    : 0.000
% 0.21/0.34  %    Success case prop encoding time   : 0.000
% 0.21/0.34  %    Success case prop solver time     : 0.000
% 0.21/0.34  % Current number of processed clauses  : 218
% 0.21/0.34  %    Positive orientable unit clauses  : 54
% 0.21/0.34  %    Positive unorientable unit clauses: 0
% 0.21/0.34  %    Negative unit clauses             : 4
% 0.21/0.34  %    Non-unit-clauses                  : 160
% 0.21/0.34  % Current number of unprocessed clauses: 1717
% 0.21/0.34  % ...number of literals in the above   : 4767
% 0.21/0.34  % Current number of archived formulas  : 0
% 0.21/0.34  % Current number of archived clauses   : 71
% 0.21/0.34  % Clause-clause subsumption calls (NU) : 3771
% 0.21/0.34  % Rec. Clause-clause subsumption calls : 3491
% 0.21/0.34  % Non-unit clause-clause subsumptions  : 391
% 0.21/0.34  % Unit Clause-clause subsumption calls : 25
% 0.21/0.34  % Rewrite failures with RHS unbound    : 0
% 0.21/0.34  % BW rewrite match attempts            : 9
% 0.21/0.34  % BW rewrite match successes           : 4
% 0.21/0.34  % Condensation attempts                : 0
% 0.21/0.34  % Condensation successes               : 0
% 0.21/0.34  % Termbank termtop insertions          : 55406
% 0.21/0.34  % Search garbage collected termcells   : 12136
% 0.21/0.34  
% 0.21/0.34  % -------------------------------------------------
% 0.21/0.34  % User time                : 0.044 s
% 0.21/0.34  % System time              : 0.013 s
% 0.21/0.34  % Total time               : 0.057 s
% 0.21/0.34  % Maximum resident set size: 6500 pages
% 0.21/0.34  
% 0.21/0.34  % -------------------------------------------------
% 0.21/0.34  % User time                : 0.049 s
% 0.21/0.34  % System time              : 0.023 s
% 0.21/0.34  % Total time               : 0.072 s
% 0.21/0.34  % Maximum resident set size: 5120 pages
% 0.21/0.34  % E exiting
%------------------------------------------------------------------------------