E---3.5.1.THM-CRf.s

%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU613^1 : 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 : n004.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 08:24:43 AM UTC 2026

% Result   : Theorem 201.01s 29.41s
% Output   : CNFRefutation 201.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU613^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.17  % Computer : n004.cluster.edu
% 0.12/0.17  % Model    : x86_64 x86_64
% 0.12/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17  % Memory   : 8046.5625MB
% 0.12/0.17  % OS       : Linux 6.8.0-71-generic
% 0.12/0.17  % CPULimit : 300
% 0.12/0.17  % WCLimit  : 300
% 0.12/0.17  % DateTime : Tue Sep 29 13:58:01 UTC 2026
% 0.12/0.17  % CPUTime  : 
% 0.12/0.17  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.21  Running higher-order theorem proving
% 0.12/0.24  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.0q6zHL90ye/E---3.1_1329726.p
% 201.01/29.41  % Version: 3.5.1-ho
% 201.01/29.41  % Preprocessing class: HSLMSLSSLLLCHFA.
% 201.01/29.41  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 201.01/29.41  % Starting ehoh_best5 with 300s (1) cores
% 201.01/29.41  % Starting almost_fo_3_lam with 300s (1) cores
% 201.01/29.41  % Starting new_bool_5 with 300s (1) cores
% 201.01/29.41  % Starting pre_casc_3 with 300s (1) cores
% 201.01/29.41  % Starting ho_unfolding_8 with 300s (1) cores
% 201.01/29.41  % Starting new_ho_10_cnf2 with 300s (1) cores
% 201.01/29.41  % Starting new_bool_3 with 300s (1) cores
% 201.01/29.41  % Starting new_ho_5 with 300s (1) cores
% 201.01/29.41  % ho_unfolding_8 with pid 1329743 completed with status 0
% 201.01/29.41  % Result found by ho_unfolding_8
% 201.01/29.41  % Preprocessing class: HSLMSLSSLLLCHFA.
% 201.01/29.41  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 201.01/29.41  % Starting ehoh_best5 with 300s (1) cores
% 201.01/29.41  % Starting almost_fo_3_lam with 300s (1) cores
% 201.01/29.41  % Starting new_bool_5 with 300s (1) cores
% 201.01/29.41  % Starting pre_casc_3 with 300s (1) cores
% 201.01/29.41  % Starting ho_unfolding_8 with 300s (1) cores
% 201.01/29.41  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 201.01/29.41  % No SInE strategy applied
% 201.01/29.41  % Search class: HGHSM-FSLM31-MHFMMSBN
% 201.01/29.41  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 201.01/29.41  % Starting SubtermCWHack with 28s (1) cores
% 201.01/29.41  % SubtermCWHack with pid 1329755 completed with status 8
% 201.01/29.41  % Starting ho_unfolding_8 with 31s (1) cores
% 201.01/29.41  % ho_unfolding_8 with pid 1329764 completed with status 0
% 201.01/29.41  % Result found by ho_unfolding_8
% 201.01/29.41  % Preprocessing class: HSLMSLSSLLLCHFA.
% 201.01/29.41  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 201.01/29.41  % Starting ehoh_best5 with 300s (1) cores
% 201.01/29.41  % Starting almost_fo_3_lam with 300s (1) cores
% 201.01/29.41  % Starting new_bool_5 with 300s (1) cores
% 201.01/29.41  % Starting pre_casc_3 with 300s (1) cores
% 201.01/29.41  % Starting ho_unfolding_8 with 300s (1) cores
% 201.01/29.41  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 201.01/29.41  % No SInE strategy applied
% 201.01/29.41  % Search class: HGHSM-FSLM31-MHFMMSBN
% 201.01/29.41  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 201.01/29.41  % Starting SubtermCWHack with 28s (1) cores
% 201.01/29.41  % SubtermCWHack with pid 1329755 completed with status 8
% 201.01/29.41  % Starting ho_unfolding_8 with 31s (1) cores
% 201.01/29.41  % Preprocessing time       : 0.038 s
% 201.01/29.41  % Presaturation interreduction done
% 201.01/29.41  
% 201.01/29.41  % Proof found!
% 201.01/29.41  % SZS status Theorem
% 201.01/29.41  % SZS output start CNFRefutation
% 201.01/29.41  thf(decl_23, type, in: $i > $i > $o).
% 201.01/29.41  thf(decl_24, type, exu: ($i > $o) > $o).
% 201.01/29.41  thf(decl_25, type, setextAx: $o).
% 201.01/29.41  thf(decl_26, type, emptyset: $i).
% 201.01/29.41  thf(decl_27, type, emptysetAx: $o).
% 201.01/29.41  thf(decl_28, type, setadjoin: $i > $i > $i).
% 201.01/29.41  thf(decl_29, type, setadjoinAx: $o).
% 201.01/29.41  thf(decl_30, type, powerset: $i > $i).
% 201.01/29.41  thf(decl_31, type, powersetAx: $o).
% 201.01/29.41  thf(decl_32, type, setunion: $i > $i).
% 201.01/29.41  thf(decl_33, type, setunionAx: $o).
% 201.01/29.41  thf(decl_34, type, omega: $i).
% 201.01/29.41  thf(decl_35, type, omega0Ax: $o).
% 201.01/29.41  thf(decl_36, type, omegaSAx: $o).
% 201.01/29.41  thf(decl_37, type, omegaIndAx: $o).
% 201.01/29.41  thf(decl_38, type, replAx: $o).
% 201.01/29.41  thf(decl_39, type, foundationAx: $o).
% 201.01/29.41  thf(decl_40, type, wellorderingAx: $o).
% 201.01/29.41  thf(decl_41, type, descr: ($i > $o) > $i).
% 201.01/29.41  thf(decl_42, type, descrp: $o).
% 201.01/29.41  thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 201.01/29.41  thf(decl_44, type, dsetconstrI: $o).
% 201.01/29.41  thf(decl_45, type, dsetconstrEL: $o).
% 201.01/29.41  thf(decl_46, type, dsetconstrER: $o).
% 201.01/29.41  thf(decl_47, type, exuE1: $o).
% 201.01/29.41  thf(decl_48, type, prop2set: $o > $i).
% 201.01/29.41  thf(decl_49, type, prop2setE: $o).
% 201.01/29.41  thf(decl_50, type, emptysetE: $o).
% 201.01/29.41  thf(decl_51, type, emptysetimpfalse: $o).
% 201.01/29.41  thf(decl_52, type, notinemptyset: $o).
% 201.01/29.41  thf(decl_53, type, exuE3e: $o).
% 201.01/29.41  thf(decl_54, type, setext: $o).
% 201.01/29.41  thf(decl_55, type, emptyI: $o).
% 201.01/29.41  thf(decl_56, type, noeltsimpempty: $o).
% 201.01/29.41  thf(decl_57, type, setbeta: $o).
% 201.01/29.41  thf(decl_58, type, nonempty: $i > $o).
% 201.01/29.41  thf(decl_59, type, nonemptyE1: $o).
% 201.01/29.41  thf(decl_60, type, nonemptyI: $o).
% 201.01/29.41  thf(decl_61, type, nonemptyI1: $o).
% 201.01/29.41  thf(decl_62, type, setadjoinIL: $o).
% 201.01/29.41  thf(decl_63, type, emptyinunitempty: $o).
% 201.01/29.41  thf(decl_64, type, setadjoinIR: $o).
% 201.01/29.41  thf(decl_65, type, setadjoinE: $o).
% 201.01/29.41  thf(decl_66, type, setadjoinOr: $o).
% 201.01/29.41  thf(decl_67, type, setoftrueEq: $o).
% 201.01/29.41  thf(decl_68, type, powersetI: $o).
% 201.01/29.41  thf(decl_69, type, emptyinPowerset: $o).
% 201.01/29.41  thf(decl_70, type, emptyInPowerset: $o).
% 201.01/29.41  thf(decl_71, type, powersetE: $o).
% 201.01/29.41  thf(decl_72, type, setunionI: $o).
% 201.01/29.41  thf(decl_73, type, setunionE: $o).
% 201.01/29.41  thf(decl_74, type, subPowSU: $o).
% 201.01/29.41  thf(decl_75, type, exuE2: $o).
% 201.01/29.41  thf(decl_76, type, nonemptyImpWitness: $o).
% 201.01/29.41  thf(decl_77, type, uniqinunit: $o).
% 201.01/29.41  thf(decl_78, type, notinsingleton: $o).
% 201.01/29.41  thf(decl_79, type, eqinunit: $o).
% 201.01/29.41  thf(decl_80, type, singletonsswitch: $o).
% 201.01/29.41  thf(decl_81, type, upairsetE: $o).
% 201.01/29.41  thf(decl_82, type, upairsetIL: $o).
% 201.01/29.41  thf(decl_83, type, upairsetIR: $o).
% 201.01/29.41  thf(decl_84, type, emptyE1: $o).
% 201.01/29.41  thf(decl_85, type, vacuousDall: $o).
% 201.01/29.41  thf(decl_86, type, quantDeMorgan1: $o).
% 201.01/29.41  thf(decl_87, type, quantDeMorgan2: $o).
% 201.01/29.41  thf(decl_88, type, quantDeMorgan3: $o).
% 201.01/29.41  thf(decl_89, type, quantDeMorgan4: $o).
% 201.01/29.41  thf(decl_90, type, prop2setI: $o).
% 201.01/29.41  thf(decl_91, type, set2prop: $i > $o).
% 201.01/29.41  thf(decl_92, type, prop2set2propI: $o).
% 201.01/29.41  thf(decl_93, type, notdexE: $o).
% 201.01/29.41  thf(decl_94, type, notdallE: $o).
% 201.01/29.41  thf(decl_95, type, exuI1: $o).
% 201.01/29.41  thf(decl_96, type, exuI3: $o).
% 201.01/29.41  thf(decl_97, type, exuI2: $o).
% 201.01/29.41  thf(decl_98, type, inCongP: $o).
% 201.01/29.41  thf(decl_99, type, in__Cong: $o).
% 201.01/29.41  thf(decl_100, type, exuE3u: $o).
% 201.01/29.41  thf(decl_101, type, exu__Cong: $o).
% 201.01/29.41  thf(decl_102, type, emptyset__Cong: $o).
% 201.01/29.41  thf(decl_103, type, setadjoin__Cong: $o).
% 201.01/29.41  thf(decl_104, type, powerset__Cong: $o).
% 201.01/29.41  thf(decl_105, type, setunion__Cong: $o).
% 201.01/29.41  thf(decl_106, type, omega__Cong: $o).
% 201.01/29.41  thf(decl_107, type, exuEu: $o).
% 201.01/29.41  thf(decl_108, type, descr__Cong: $o).
% 201.01/29.41  thf(decl_109, type, dsetconstr__Cong: $o).
% 201.01/29.41  thf(decl_110, type, subset: $i > $i > $o).
% 201.01/29.41  thf(decl_113, type, subsetI1: $o).
% 201.01/29.41  thf(decl_114, type, eqimpsubset2: $o).
% 201.01/29.41  thf(decl_115, type, eqimpsubset1: $o).
% 201.01/29.41  thf(decl_116, type, subsetI2: $o).
% 201.01/29.41  thf(decl_117, type, emptysetsubset: $o).
% 201.01/29.41  thf(decl_118, type, subsetE: $o).
% 201.01/29.41  thf(decl_119, type, subsetE2: $o).
% 201.01/29.41  thf(decl_120, type, notsubsetI: $o).
% 201.01/29.41  thf(decl_121, type, notequalI1: $o).
% 201.01/29.41  thf(decl_122, type, notequalI2: $o).
% 201.01/29.41  thf(decl_123, type, subsetRefl: $o).
% 201.01/29.41  thf(decl_124, type, subsetTrans: $o).
% 201.01/29.41  thf(decl_125, type, setadjoinSub: $o).
% 201.01/29.41  thf(decl_126, type, setadjoinSub2: $o).
% 201.01/29.41  thf(decl_127, type, subset2powerset: $o).
% 201.01/29.41  thf(decl_128, type, setextsub: $o).
% 201.01/29.41  thf(decl_129, type, subsetemptysetimpeq: $o).
% 201.01/29.41  thf(decl_130, type, powersetI1: $o).
% 201.01/29.41  thf(decl_131, type, powersetE1: $o).
% 201.01/29.41  thf(decl_132, type, inPowerset: $o).
% 201.01/29.41  thf(decl_133, type, powersetsubset: $o).
% 201.01/29.41  thf(decl_134, type, sepInPowerset: $o).
% 201.01/29.41  thf(decl_135, type, sepSubset: $o).
% 201.01/29.41  thf(decl_136, type, binunion: $i > $i > $i).
% 201.01/29.41  thf(decl_137, type, binunionIL: $o).
% 201.01/29.41  thf(decl_138, type, upairset2IR: $o).
% 201.01/29.41  thf(decl_139, type, binunionIR: $o).
% 201.01/29.41  thf(decl_140, type, binunionEcases: $o).
% 201.01/29.41  thf(decl_141, type, binunionE: $o).
% 201.01/29.41  thf(decl_142, type, binunionLsub: $o).
% 201.01/29.41  thf(decl_143, type, binunionRsub: $o).
% 201.01/29.41  thf(decl_144, type, binintersect: $i > $i > $i).
% 201.01/29.41  thf(decl_145, type, binintersectI: $o).
% 201.01/29.41  thf(decl_146, type, binintersectSubset5: $o).
% 201.01/29.41  thf(decl_147, type, binintersectEL: $o).
% 201.01/29.41  thf(decl_148, type, binintersectLsub: $o).
% 201.01/29.41  thf(decl_149, type, binintersectSubset2: $o).
% 201.01/29.41  thf(decl_150, type, binintersectSubset3: $o).
% 201.01/29.41  thf(decl_151, type, binintersectER: $o).
% 201.01/29.41  thf(decl_152, type, disjointsetsI1: $o).
% 201.01/29.41  thf(decl_153, type, binintersectRsub: $o).
% 201.01/29.41  thf(decl_154, type, binintersectSubset4: $o).
% 201.01/29.41  thf(decl_155, type, binintersectSubset1: $o).
% 201.01/29.41  thf(decl_156, type, bs114d: $o).
% 201.01/29.41  thf(decl_158, type, setminus: $i > $i > $i).
% 201.01/29.41  thf(decl_159, type, setminusI: $o).
% 201.01/29.41  thf(decl_160, type, setminusEL: $o).
% 201.01/29.41  thf(decl_161, type, setminusER: $o).
% 201.01/29.41  thf(decl_162, type, setminusSubset2: $o).
% 201.01/29.41  thf(decl_163, type, setminusERneg: $o).
% 201.01/29.41  thf(decl_164, type, setminusELneg: $o).
% 201.01/29.41  thf(decl_165, type, setminusILneg: $o).
% 201.01/29.41  thf(decl_166, type, setminusIRneg: $o).
% 201.01/29.41  thf(decl_167, type, setminusLsub: $o).
% 201.01/29.41  thf(decl_168, type, setminusSubset1: $o).
% 201.01/29.41  thf(decl_169, type, symdiff: $i > $i > $i).
% 201.01/29.41  thf(decl_170, type, symdiffE: $o).
% 201.01/29.41  thf(decl_171, type, symdiffI1: $o).
% 201.01/29.41  thf(decl_172, type, epred1_0: $o).
% 201.01/29.41  thf(decl_173, type, esk1_2: $i > $i > $i).
% 201.01/29.41  thf(decl_174, type, esk2_2: $i > $i > $i).
% 201.01/29.41  thf(decl_175, type, esk3_2: $i > $i > $i).
% 201.01/29.41  thf(decl_176, type, esk4_1: $i > $i).
% 201.01/29.41  thf(decl_177, type, esk5_2: ($i > $i > $o) > $i > $i).
% 201.01/29.41  thf(decl_178, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 201.01/29.41  thf(decl_179, type, esk7_2: ($i > $i > $o) > $i > $i).
% 201.01/29.41  thf(decl_180, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 201.01/29.41  thf(decl_181, type, esk9_1: $i > $i).
% 201.01/29.41  thf(decl_182, type, esk10_2: ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_183, type, esk11_2: ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_184, type, esk12_1: ($i > $o) > $i).
% 201.01/29.41  thf(decl_185, type, esk13_2: ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_186, type, esk14_1: ($i > $o) > $i).
% 201.01/29.41  thf(decl_187, type, esk15_2: $i > $i > $i).
% 201.01/29.41  thf(decl_188, type, esk16_2: $i > $i > $i).
% 201.01/29.41  thf(decl_189, type, esk17_1: $i > $i).
% 201.01/29.41  thf(decl_190, type, esk18_1: $i > $i).
% 201.01/29.41  thf(decl_191, type, esk19_1: $i > $i).
% 201.01/29.41  thf(decl_192, type, esk20_2: $i > $i > $i).
% 201.01/29.41  thf(decl_193, type, esk21_3: $i > $i > $o > $i).
% 201.01/29.41  thf(decl_194, type, esk22_2: ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_195, type, esk23_1: ($i > $o) > $i).
% 201.01/29.41  thf(decl_196, type, esk24_1: $i > $i).
% 201.01/29.41  thf(decl_197, type, esk25_2: $i > ($i > $o) > $i).
% 201.01/29.41  thf(decl_198, type, esk26_2: $i > ($i > $o) > $i).
% 201.01/29.41  thf(decl_199, type, esk27_2: $i > ($i > $o) > $i).
% 201.01/29.41  thf(decl_200, type, esk28_2: $i > ($i > $o) > $i).
% 201.01/29.41  thf(decl_201, type, esk29_2: $i > ($i > $o) > $i).
% 201.01/29.41  thf(decl_202, type, esk30_2: $i > ($i > $o) > $i).
% 201.01/29.41  thf(decl_203, type, esk31_2: ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_204, type, esk32_1: ($i > $o) > $i).
% 201.01/29.41  thf(decl_205, type, esk33_1: ($i > $o) > $i).
% 201.01/29.41  thf(decl_206, type, esk34_1: ($i > $o) > $i).
% 201.01/29.41  thf(decl_207, type, esk35_1: ($i > $o) > $i).
% 201.01/29.41  thf(decl_208, type, esk36_2: ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_209, type, esk37_1: ($i > $o) > $i).
% 201.01/29.41  thf(decl_210, type, esk38_2: ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_211, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 201.01/29.41  thf(decl_212, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 201.01/29.41  thf(decl_213, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_214, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 201.01/29.41  thf(decl_215, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_216, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 201.01/29.41  thf(decl_217, type, esk45_2: ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_218, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 201.01/29.41  thf(decl_219, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 201.01/29.41  thf(decl_220, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_221, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 201.01/29.41  thf(decl_222, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 201.01/29.41  thf(decl_223, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 201.01/29.41  thf(decl_224, type, esk52_2: $i > $i > $i).
% 201.01/29.41  thf(decl_225, type, esk53_2: $i > $i > $i).
% 201.01/29.41  thf(decl_226, type, esk54_2: $i > $i > $i).
% 201.01/29.41  thf(decl_227, type, esk55_0: $i).
% 201.01/29.41  thf(decl_228, type, esk56_0: $i).
% 201.01/29.41  thf(decl_229, type, esk57_0: $i).
% 201.01/29.41  thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', replAx)).
% 201.01/29.41  thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', exu)).
% 201.01/29.41  thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', descrp)).
% 201.01/29.41  thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', exuE1)).
% 201.01/29.41  thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', exuE3e)).
% 201.01/29.41  thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', nonempty)).
% 201.01/29.41  thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', nonemptyI)).
% 201.01/29.41  thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', exuE2)).
% 201.01/29.41  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.0q6zHL90ye/E---3.1_1329726.p', exuI1)).
% 201.01/29.41  thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', exuI3)).
% 201.01/29.41  thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', exuI2)).
% 201.01/29.41  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.0q6zHL90ye/E---3.1_1329726.p', exuE3u)).
% 201.01/29.41  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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', exu__Cong)).
% 201.01/29.41  thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', exuEu)).
% 201.01/29.41  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.0q6zHL90ye/E---3.1_1329726.p', descr__Cong)).
% 201.01/29.41  thf(symdiffI2, 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)=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', symdiffI2)).
% 201.01/29.41  thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', dsetconstrI)).
% 201.01/29.41  thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', dsetconstrEL)).
% 201.01/29.41  thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', dsetconstrER)).
% 201.01/29.41  thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setbeta)).
% 201.01/29.41  thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', nonemptyE1)).
% 201.01/29.41  thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', nonemptyI1)).
% 201.01/29.41  thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setoftrueEq)).
% 201.01/29.41  thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', nonemptyImpWitness)).
% 201.01/29.41  thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.0q6zHL90ye/E---3.1_1329726.p', emptyE1)).
% 201.01/29.41  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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', dsetconstr__Cong)).
% 201.01/29.41  thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', sepInPowerset)).
% 201.01/29.41  thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', sepSubset)).
% 201.01/29.41  thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setextAx)).
% 201.01/29.41  thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', emptysetAx)).
% 201.01/29.41  thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setadjoinAx)).
% 201.01/29.41  thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', powersetAx)).
% 201.01/29.41  thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setunionAx)).
% 201.01/29.41  thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', omega0Ax)).
% 201.01/29.41  thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', omegaSAx)).
% 201.01/29.41  thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', omegaIndAx)).
% 201.01/29.41  thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', foundationAx)).
% 201.01/29.41  thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.0q6zHL90ye/E---3.1_1329726.p', wellorderingAx)).
% 201.01/29.41  thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', prop2setE)).
% 201.01/29.41  thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', emptysetE)).
% 201.01/29.41  thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', emptysetimpfalse)).
% 201.01/29.41  thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', notinemptyset)).
% 201.01/29.41  thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setext)).
% 201.01/29.41  thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', emptyI)).
% 201.01/29.41  thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', noeltsimpempty)).
% 201.01/29.41  thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setadjoinIL)).
% 201.01/29.41  thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', emptyinunitempty)).
% 201.01/29.41  thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setadjoinIR)).
% 201.01/29.41  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.0q6zHL90ye/E---3.1_1329726.p', setadjoinE)).
% 201.01/29.41  thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setadjoinOr)).
% 201.01/29.41  thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', powersetI)).
% 201.01/29.41  thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', emptyinPowerset)).
% 201.01/29.41  thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', emptyInPowerset)).
% 201.01/29.41  thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', powersetE)).
% 201.01/29.41  thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setunionI)).
% 201.01/29.41  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.0q6zHL90ye/E---3.1_1329726.p', setunionE)).
% 201.01/29.41  thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', subPowSU)).
% 201.01/29.41  thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', uniqinunit)).
% 201.01/29.41  thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', notinsingleton)).
% 201.01/29.41  thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', eqinunit)).
% 201.01/29.41  thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', singletonsswitch)).
% 201.01/29.41  thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', upairsetE)).
% 201.01/29.41  thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', upairsetIL)).
% 201.01/29.41  thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', upairsetIR)).
% 201.01/29.41  thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', vacuousDall)).
% 201.01/29.41  thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', quantDeMorgan1)).
% 201.01/29.41  thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', quantDeMorgan2)).
% 201.01/29.41  thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', quantDeMorgan3)).
% 201.01/29.41  thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', quantDeMorgan4)).
% 201.01/29.41  thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', prop2setI)).
% 201.01/29.41  thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', prop2set2propI)).
% 201.01/29.41  thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', notdexE)).
% 201.01/29.41  thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', notdallE)).
% 201.01/29.41  thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', inCongP)).
% 201.01/29.41  thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', in__Cong)).
% 201.01/29.41  thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', emptyset__Cong)).
% 201.01/29.41  thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setadjoin__Cong)).
% 201.01/29.41  thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', powerset__Cong)).
% 201.01/29.41  thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setunion__Cong)).
% 201.01/29.41  thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', omega__Cong)).
% 201.01/29.41  thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', subsetI1)).
% 201.01/29.41  thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', eqimpsubset2)).
% 201.01/29.41  thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', eqimpsubset1)).
% 201.01/29.41  thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', subsetI2)).
% 201.01/29.41  thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', emptysetsubset)).
% 201.01/29.41  thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', subsetE)).
% 201.01/29.41  thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', subsetE2)).
% 201.01/29.41  thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', notsubsetI)).
% 201.01/29.41  thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', notequalI1)).
% 201.01/29.41  thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', notequalI2)).
% 201.01/29.41  thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', subsetRefl)).
% 201.01/29.41  thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', subsetTrans)).
% 201.01/29.41  thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setadjoinSub)).
% 201.01/29.41  thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setadjoinSub2)).
% 201.01/29.41  thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', subset2powerset)).
% 201.01/29.41  thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setextsub)).
% 201.01/29.41  thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', subsetemptysetimpeq)).
% 201.01/29.41  thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', powersetI1)).
% 201.01/29.41  thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', powersetE1)).
% 201.01/29.41  thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', inPowerset)).
% 201.01/29.41  thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', powersetsubset)).
% 201.01/29.41  thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binunionIL)).
% 201.01/29.41  thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', upairset2IR)).
% 201.01/29.41  thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binunionIR)).
% 201.01/29.41  thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binunionEcases)).
% 201.01/29.41  thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binunionE)).
% 201.01/29.41  thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binunionLsub)).
% 201.01/29.41  thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binunionRsub)).
% 201.01/29.41  thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binintersectI)).
% 201.01/29.41  thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binintersectSubset5)).
% 201.01/29.41  thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binintersectEL)).
% 201.01/29.41  thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binintersectLsub)).
% 201.01/29.41  thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binintersectSubset2)).
% 201.01/29.41  thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binintersectSubset3)).
% 201.01/29.41  thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binintersectER)).
% 201.01/29.41  thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', disjointsetsI1)).
% 201.01/29.41  thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binintersectRsub)).
% 201.01/29.41  thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binintersectSubset4)).
% 201.01/29.41  thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', binintersectSubset1)).
% 201.01/29.41  thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', bs114d)).
% 201.01/29.41  thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setminusI)).
% 201.01/29.41  thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setminusEL)).
% 201.01/29.41  thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setminusER)).
% 201.01/29.41  thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setminusSubset2)).
% 201.01/29.41  thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setminusERneg)).
% 201.01/29.41  thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setminusELneg)).
% 201.01/29.41  thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setminusILneg)).
% 201.01/29.41  thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setminusIRneg)).
% 201.01/29.41  thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setminusLsub)).
% 201.01/29.41  thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', setminusSubset1)).
% 201.01/29.41  thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', symdiffE)).
% 201.01/29.41  thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', symdiffI1)).
% 201.01/29.41  thf(symdiff, axiom, ((symdiff)=(^[X4:$i, X5:$i]:(dsetconstr @ (binunion @ X4 @ X5) @ (^[X2:$i]:(((~((in @ X2 @ X4)))|(~((in @ X2 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.0q6zHL90ye/E---3.1_1329726.p', symdiff)).
% 201.01/29.41  thf(c_0_133, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 201.01/29.41  thf(c_0_134, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 201.01/29.41  thf(c_0_135, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 201.01/29.41  thf(c_0_136, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 201.01/29.41  thf(c_0_137, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 201.01/29.41  thf(c_0_138, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 201.01/29.41  thf(c_0_139, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 201.01/29.41  thf(c_0_140, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 201.01/29.41  thf(c_0_141, 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])).
% 201.01/29.41  thf(c_0_142, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 201.01/29.41  thf(c_0_143, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 201.01/29.41  thf(c_0_144, 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])).
% 201.01/29.41  thf(c_0_145, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 201.01/29.41  thf(c_0_146, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 201.01/29.41  thf(c_0_147, 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])).
% 201.01/29.41  thf(c_0_148, 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)=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[symdiffI2])).
% 201.01/29.41  thf(c_0_149, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X369:$i]:(((((X6 @ X2 @ X369)))&(![X370:$i]:(((((X6 @ X2 @ X370)))=>(((X369)=(X370)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_133, c_0_134])).
% 201.01/29.41  thf(c_0_150, plain, ((descrp)=(![X1:$i > $o]:((((?[X371:$i]:(((((X1 @ X371)))&(![X372:$i]:(((((X1 @ X372)))=>(((X371)=(X372))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_135, c_0_134])).
% 201.01/29.41  thf(c_0_151, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 201.01/29.41  thf(c_0_152, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 201.01/29.41  thf(c_0_153, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 201.01/29.41  thf(c_0_154, plain, ((exuE1)=(![X1:$i > $o]:((((?[X373:$i]:(((((X1 @ X373)))&(![X374:$i]:(((((X1 @ X374)))=>(((X373)=(X374))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_136, c_0_134])).
% 201.01/29.41  thf(c_0_155, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X375:$i]:(((((X1 @ X375)))&(![X376:$i]:(((((X1 @ X376)))=>(((X375)=(X376))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_137, c_0_134])).
% 201.01/29.41  thf(c_0_156, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 201.01/29.41  thf(c_0_157, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_138])).
% 201.01/29.41  thf(c_0_158, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_139, c_0_138])).
% 201.01/29.41  thf(c_0_159, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_138])).
% 201.01/29.41  thf(c_0_160, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 201.01/29.41  thf(c_0_161, plain, ((exuE2)=(![X1:$i > $o]:((((?[X377:$i]:(((((X1 @ X377)))&(![X378:$i]:(((((X1 @ X378)))=>(((X377)=(X378))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_140, c_0_134])).
% 201.01/29.41  thf(c_0_162, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_138])).
% 201.01/29.41  thf(c_0_163, 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])).
% 201.01/29.41  thf(c_0_164, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X379:$i]:(((((X1 @ X379)))&(![X380:$i]:(((((X1 @ X380)))=>(((X379)=(X380)))))))))))))), inference(apply_def,[status(thm)],[c_0_141, c_0_134])).
% 201.01/29.41  thf(c_0_165, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X381:$i]:(((((X1 @ X381)))&(![X382:$i]:(((((X1 @ X382)))=>(((X381)=(X382)))))))))))))))), inference(apply_def,[status(thm)],[c_0_142, c_0_134])).
% 201.01/29.41  thf(c_0_166, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X383:$i]:(((((X1 @ X383)))&(![X384:$i]:(((((X1 @ X384)))=>(((X383)=(X384)))))))))))))), inference(apply_def,[status(thm)],[c_0_143, c_0_134])).
% 201.01/29.41  thf(c_0_167, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X385:$i]:(((((X1 @ X385)))&(![X386:$i]:(((((X1 @ X386)))=>(((X385)=(X386))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_144, c_0_134])).
% 201.01/29.41  thf(c_0_168, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X387:$i]:(((((X1 @ X387)))&(![X388:$i]:(((((X1 @ X388)))=>(((X387)=(X388))))))))))<=>((?[X389:$i]:(((((X17 @ X389)))&(![X390:$i]:(((((X17 @ X390)))=>(((X389)=(X390)))))))))))))))), inference(apply_def,[status(thm)],[c_0_145, c_0_134])).
% 201.01/29.41  thf(c_0_169, plain, ((exuEu)=(![X1:$i > $o]:((((?[X391:$i]:(((((X1 @ X391)))&(![X392:$i]:(((((X1 @ X392)))=>(((X391)=(X392))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_146, c_0_134])).
% 201.01/29.41  thf(c_0_170, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X393:$i]:(((((X1 @ X393)))&(![X394:$i]:(((((X1 @ X394)))=>(((X393)=(X394))))))))))=>((((?[X395:$i]:(((((X17 @ X395)))&(![X396:$i]:(((((X17 @ X396)))=>(((X395)=(X396))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_147, c_0_134])).
% 201.01/29.41  thf(c_0_171, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 201.01/29.41  thf(c_0_172, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 201.01/29.41  thf(c_0_173, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 201.01/29.41  thf(c_0_174, plain, ((epred1_0)<=>![X426:$i]:(?[X427:$i]:((((![X428:$i]:(((in @ X428 @ X427)=>![X429:$i]:(((in @ X429 @ X428)=>(in @ X429 @ X426)))))&![X430:$i, X431:$i]:((((in @ X430 @ X426)&(in @ X431 @ X426))=>(![X432:$i]:(((in @ X432 @ X427)=>((in @ X430 @ X432)<=>(in @ X431 @ X432))))=>((X430)=(X431))))))&![X433:$i, X434:$i]:((((in @ X433 @ X427)&(in @ X434 @ X427))=>(![X435:$i]:(((in @ X435 @ X433)=>(in @ X435 @ X434)))|![X436:$i]:(((in @ X436 @ X434)=>(in @ X436 @ X433)))))))&![X437:$i]:(((![X438:$i]:(((in @ X438 @ X437)=>(in @ X438 @ X426)))&?[X439:$i]:((in @ X439 @ X437)))=>?[X440:$i, X441:$i]:(((((in @ X440 @ X427)&(in @ X441 @ X437))&~(?[X442:$i]:(((in @ X442 @ X440)&(in @ X442 @ X437)))))&![X443:$i]:(((in @ X443 @ X427)=>(![X444:$i]:(((in @ X444 @ X443)=>(in @ X444 @ X440)))|(in @ X441 @ X443)))))))))))), introduced(definition)).
% 201.01/29.41  thf(c_0_175, negated_conjecture, ~((![X397:$i, X398:$i]:((![X399:$i]:(((in @ X399 @ X397)<=>(in @ X399 @ X398)))=>((X397)=(X398))))=>(![X400:$i]:(~(in @ X400 @ emptyset))=>(![X401:$i, X402:$i, X403:$i]:(((in @ X403 @ (setadjoin @ X401 @ X402))<=>(((X403)=(X401))|(in @ X403 @ X402))))=>(![X404:$i, X405:$i]:(((in @ X405 @ (powerset @ X404))<=>![X406:$i]:(((in @ X406 @ X405)=>(in @ X406 @ X404)))))=>(![X407:$i, X408:$i]:(((in @ X408 @ (setunion @ X407))<=>?[X409:$i]:(((in @ X408 @ X409)&(in @ X409 @ X407)))))=>((in @ emptyset @ omega)=>(![X410:$i]:(((in @ X410 @ omega)=>(in @ (setadjoin @ X410 @ X410) @ omega)))=>(![X411:$i]:((((in @ emptyset @ X411)&![X412:$i]:((((in @ X412 @ omega)&(in @ X412 @ X411))=>(in @ (setadjoin @ X412 @ X412) @ X411))))=>![X413:$i]:(((in @ X413 @ omega)=>(in @ X413 @ X411)))))=>(![X414:$i > $i > $o, X415:$i]:((![X416:$i]:(((in @ X416 @ X415)=>?[X417:$i]:(((X414 @ X416 @ X417)&![X418:$i]:(((X414 @ X416 @ X418)=>((X417)=(X418))))))))=>?[X419:$i]:(![X420:$i]:(((in @ X420 @ X419)<=>?[X421:$i]:(((in @ X421 @ X415)&(X414 @ X421 @ X420))))))))=>(![X422:$i]:((?[X423:$i]:((in @ X423 @ X422))=>?[X424:$i]:(((in @ X424 @ X422)&~(?[X425:$i]:(((in @ X425 @ X424)&(in @ X425 @ X422))))))))=>((epred1_0)=>(![X445:$i > $o]:((?[X446:$i]:(((X445 @ X446)&![X447:$i]:(((X445 @ X447)=>((X446)=(X447))))))=>(X445 @ (descr @ (^[Z0:$i]:(X445 @ Z0))))))=>(![X448:$i, X449:$i > $o, X450:$i]:(((in @ X450 @ X448)=>((X449 @ X450)=>(in @ X450 @ (dsetconstr @ X448 @ X449)))))=>(![X451:$i, X452:$i > $o, X453:$i]:(((in @ X453 @ (dsetconstr @ X451 @ X452))=>(in @ X453 @ X451)))=>(![X454:$i, X455:$i > $o, X456:$i]:(((in @ X456 @ (dsetconstr @ X454 @ X455))=>(X455 @ X456)))=>(![X457:$i > $o]:((?[X458:$i]:(((X457 @ X458)&![X459:$i]:(((X457 @ X459)=>((X458)=(X459))))))=>?[X460:$i]:(((X457 @ X460)&![X461:$i]:(((X457 @ X461)=>((X460)=(X461))))))))=>(![X462:$o, X463:$i]:(((in @ X463 @ (prop2set @ ((X462))))=>(X462)))=>(![X464:$i]:(((in @ X464 @ emptyset)=>![X465:$o]:((X465))))=>(![X466:$i]:(((in @ X466 @ emptyset)=>~($true)))=>(![X467:$i]:(~(in @ X467 @ emptyset))=>(![X468:$i > $o]:((?[X469:$i]:(((X468 @ X469)&![X470:$i]:(((X468 @ X470)=>((X469)=(X470))))))=>?[X471:$i]:((X468 @ X471))))=>(![X472:$i, X473:$i]:((![X474:$i]:(((in @ X474 @ X472)=>(in @ X474 @ X473)))=>(![X475:$i]:(((in @ X475 @ X473)=>(in @ X475 @ X472)))=>((X472)=(X473)))))=>(![X476:$i]:((![X477:$i]:(~(in @ X477 @ X476))=>((X476)=(emptyset))))=>(![X478:$i]:((![X479:$i]:(~(in @ X479 @ X478))=>((X478)=(emptyset))))=>(![X480:$i, X481:$i > $o, X482:$i]:(((in @ X482 @ X480)=>((in @ X482 @ (dsetconstr @ X480 @ X481))<=>(X481 @ X482))))=>(![X483:$i]:((((X483)!=(emptyset))=>?[X484:$i]:((in @ X484 @ X483))))=>(![X485:$i, X486:$i > $o, X487:$i]:(((in @ X487 @ X485)=>((X486 @ X487)=>((dsetconstr @ X485 @ X486)!=(emptyset)))))=>(![X488:$i]:((?[X489:$i]:((in @ X489 @ X488))=>((X488)!=(emptyset))))=>(![X490:$i, X491:$i]:((in @ X490 @ (setadjoin @ X490 @ X491)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X492:$i, X493:$i, X494:$i]:(((in @ X494 @ X493)=>(in @ X494 @ (setadjoin @ X492 @ X493))))=>(![X495:$i, X496:$i, X497:$i]:(((in @ X497 @ (setadjoin @ X495 @ X496))=>![X498:$o]:(((((X497)=(X495))=>(X498))=>(((in @ X497 @ X496)=>(X498))=>(X498))))))=>(![X499:$i, X500:$i, X501:$i]:(((in @ X501 @ (setadjoin @ X499 @ X500))=>(((X501)=(X499))|(in @ X501 @ X500))))=>(![X502:$i]:(((dsetconstr @ X502 @ (^[Z0:$i]:($true)))=(X502)))=>(![X503:$i, X504:$i]:((![X505:$i]:(((in @ X505 @ X504)=>(in @ X505 @ X503)))=>(in @ X504 @ (powerset @ X503))))=>(![X506:$i]:((in @ emptyset @ (powerset @ X506)))=>(![X507:$i]:((in @ emptyset @ (powerset @ X507)))=>(![X508:$i, X509:$i, X510:$i]:(((in @ X509 @ (powerset @ X508))=>((in @ X510 @ X509)=>(in @ X510 @ X508))))=>(![X511:$i, X512:$i, X513:$i]:(((in @ X512 @ X513)=>((in @ X513 @ X511)=>(in @ X512 @ (setunion @ X511)))))=>(![X514:$i, X515:$i]:(((in @ X515 @ (setunion @ X514))=>![X516:$o]:((![X517:$i]:(((in @ X515 @ X517)=>((in @ X517 @ X514)=>(X516))))=>(X516)))))=>(![X518:$i, X519:$i]:(((in @ X519 @ X518)=>(in @ X519 @ (powerset @ (setunion @ X518)))))=>(![X520:$i > $o]:((?[X521:$i]:(((X520 @ X521)&![X522:$i]:(((X520 @ X522)=>((X521)=(X522))))))=>?[X523:$i]:(![X524:$i]:(((X520 @ X524)<=>((X524)=(X523)))))))=>(![X525:$i]:((((X525)!=(emptyset))=>?[X526:$i]:(((in @ X526 @ X525)&$true))))=>(![X527:$i, X528:$i]:(((in @ X527 @ (setadjoin @ X528 @ emptyset))=>((X527)=(X528))))=>(![X529:$i, X530:$i]:((((X529)!=(X530))=>~(in @ X530 @ (setadjoin @ X529 @ emptyset))))=>(![X531:$i, X532:$i]:((((X531)=(X532))=>(in @ X531 @ (setadjoin @ X532 @ emptyset))))=>(![X533:$i, X534:$i]:(((in @ X533 @ (setadjoin @ X534 @ emptyset))=>(in @ X534 @ (setadjoin @ X533 @ emptyset))))=>(![X535:$i, X536:$i, X537:$i]:(((in @ X537 @ (setadjoin @ X535 @ (setadjoin @ X536 @ emptyset)))=>(((X537)=(X535))|((X537)=(X536)))))=>(![X538:$i, X539:$i]:((in @ X538 @ (setadjoin @ X538 @ (setadjoin @ X539 @ emptyset))))=>(![X540:$i, X541:$i]:((in @ X541 @ (setadjoin @ X540 @ (setadjoin @ X541 @ emptyset))))=>(![X542:$i, X543:$i > $o]:((?[X544:$i]:(((in @ X544 @ X542)&(X543 @ X544)))=>(((dsetconstr @ X542 @ X543)=(emptyset))=>~($true))))=>(![X545:$i > $o, X546:$i]:(((in @ X546 @ emptyset)=>(X545 @ X546)))=>(![X547:$i, X548:$i > $o]:((~(![X549:$i]:(((in @ X549 @ X547)=>(X548 @ X549))))=>?[X550:$i]:(((in @ X550 @ X547)&~((X548 @ X550))))))=>(![X551:$i, X552:$i > $o]:((![X553:$i]:(((in @ X553 @ X551)=>~((X552 @ X553))))=>~(?[X554:$i]:(((in @ X554 @ X551)&(X552 @ X554))))))=>(![X555:$i, X556:$i > $o]:((~(?[X557:$i]:(((in @ X557 @ X555)&(X556 @ X557))))=>![X558:$i]:(((in @ X558 @ X555)=>~((X556 @ X558))))))=>(![X559:$i, X560:$i > $o]:((?[X561:$i]:(((in @ X561 @ X559)&~((X560 @ X561))))=>~(![X562:$i]:(((in @ X562 @ X559)=>(X560 @ X562))))))=>(![X563:$o]:(((X563)=>(in @ emptyset @ (prop2set @ ((X563))))))=>(![X564:$o]:(((X564)=>(set2prop @ (prop2set @ ((X564))))))=>(![X565:$i, X566:$i > $o]:((~(?[X567:$i]:(((in @ X567 @ X565)&(X566 @ X567))))=>![X568:$i]:(((in @ X568 @ X565)=>~((X566 @ X568))))))=>(![X569:$i, X570:$i > $o]:((~(![X571:$i]:(((in @ X571 @ X569)=>(X570 @ X571))))=>?[X572:$i]:(((in @ X572 @ X569)&~((X570 @ X572))))))=>(![X573:$i > $o]:((?[X574:$i]:(((X573 @ X574)&![X575:$i]:(((X573 @ X575)=>((X574)=(X575))))))=>?[X576:$i]:(((X573 @ X576)&![X577:$i]:(((X573 @ X577)=>((X576)=(X577))))))))=>(![X578:$i > $o]:((?[X579:$i]:((X578 @ X579))=>(![X580:$i, X581:$i]:(((X578 @ X580)=>((X578 @ X581)=>((X580)=(X581)))))=>?[X582:$i]:(((X578 @ X582)&![X583:$i]:(((X578 @ X583)=>((X582)=(X583)))))))))=>(![X584:$i > $o]:((?[X585:$i]:(![X586:$i]:(((X584 @ X586)<=>((X586)=(X585)))))=>?[X587:$i]:(((X584 @ X587)&![X588:$i]:(((X584 @ X588)=>((X587)=(X588))))))))=>(![X589:$i, X590:$i]:((((X589)=(X590))=>![X591:$i, X592:$i]:((((X591)=(X592))=>((in @ X591 @ X589)=>(in @ X592 @ X590))))))=>(![X593:$i, X594:$i]:((((X593)=(X594))=>![X595:$i, X596:$i]:((((X595)=(X596))=>((in @ X595 @ X593)<=>(in @ X596 @ X594))))))=>(![X597:$i > $o]:((?[X598:$i]:(((X597 @ X598)&![X599:$i]:(((X597 @ X599)=>((X598)=(X599))))))=>![X600:$i, X601:$i]:(((X597 @ X600)=>((X597 @ X601)=>((X600)=(X601)))))))=>(![X602:$i > $o, X603:$i > $o]:((![X604:$i, X605:$i]:((((X604)=(X605))=>((X602 @ X604)<=>(X603 @ X605))))=>(?[X606:$i]:(((X602 @ X606)&![X607:$i]:(((X602 @ X607)=>((X606)=(X607))))))<=>?[X608:$i]:(((X603 @ X608)&![X609:$i]:(((X603 @ X609)=>((X608)=(X609)))))))))=>(((emptyset)=(emptyset))=>(![X610:$i, X611:$i]:((((X610)=(X611))=>![X612:$i, X613:$i]:((((X612)=(X613))=>((setadjoin @ X610 @ X612)=(setadjoin @ X611 @ X613))))))=>(![X614:$i, X615:$i]:((((X614)=(X615))=>((powerset @ X614)=(powerset @ X615))))=>(![X616:$i, X617:$i]:((((X616)=(X617))=>((setunion @ X616)=(setunion @ X617))))=>(((omega)=(omega))=>(![X618:$i > $o]:((?[X619:$i]:(((X618 @ X619)&![X620:$i]:(((X618 @ X620)=>((X619)=(X620))))))=>![X621:$i, X622:$i]:(((X618 @ X621)=>((X618 @ X622)=>((X621)=(X622)))))))=>(![X623:$i > $o, X624:$i > $o]:((![X625:$i, X626:$i]:((((X625)=(X626))=>((X623 @ X625)<=>(X624 @ X626))))=>(?[X627:$i]:(((X623 @ X627)&![X628:$i]:(((X623 @ X628)=>((X627)=(X628))))))=>(?[X629:$i]:(((X624 @ X629)&![X630:$i]:(((X624 @ X630)=>((X629)=(X630))))))=>((descr @ X623)=(descr @ X624))))))=>(![X631:$i, X632:$i]:((((X631)=(X632))=>![X633:$i > $o, X634:$i > $o]:((![X635:$i]:(((in @ X635 @ X631)=>![X636:$i]:(((in @ X636 @ X632)=>(((X635)=(X636))=>((X633 @ X635)<=>(X634 @ X636)))))))=>((dsetconstr @ X631 @ X633)=(dsetconstr @ X632 @ X634))))))=>(![X637:$i, X638:$i]:((![X639:$i]:(((in @ X639 @ X637)=>(in @ X639 @ X638)))=>(subset @ X637 @ X638)))=>(![X640:$i, X641:$i]:((((X640)=(X641))=>(subset @ X641 @ X640)))=>(![X642:$i, X643:$i]:((((X642)=(X643))=>(subset @ X642 @ X643)))=>(![X644:$i, X645:$i]:((![X646:$i]:(((in @ X646 @ X644)=>(in @ X646 @ X645)))=>(subset @ X644 @ X645)))=>(![X647:$i]:((subset @ emptyset @ X647))=>(![X648:$i, X649:$i, X650:$i]:(((subset @ X648 @ X649)=>((in @ X650 @ X648)=>(in @ X650 @ X649))))=>(![X651:$i, X652:$i, X653:$i]:(((subset @ X651 @ X652)=>(~(in @ X653 @ X652)=>~(in @ X653 @ X651))))=>(![X654:$i, X655:$i, X656:$i]:(((in @ X656 @ X654)=>(~(in @ X656 @ X655)=>~(subset @ X654 @ X655))))=>(![X657:$i, X658:$i]:((~(subset @ X657 @ X658)=>((X657)!=(X658))))=>(![X659:$i, X660:$i, X661:$i]:(((in @ X661 @ X659)=>(~(in @ X661 @ X660)=>((X659)!=(X660)))))=>(![X662:$i]:((subset @ X662 @ X662))=>(![X663:$i, X664:$i, X665:$i]:(((subset @ X663 @ X664)=>((subset @ X664 @ X665)=>(subset @ X663 @ X665))))=>(![X666:$i, X667:$i]:((subset @ X667 @ (setadjoin @ X666 @ X667)))=>(![X668:$i, X669:$i, X670:$i]:(((subset @ X668 @ X670)=>(subset @ X668 @ (setadjoin @ X669 @ X670))))=>(![X671:$i, X672:$i]:(((subset @ X671 @ X672)=>(in @ X671 @ (powerset @ X672))))=>(![X673:$i, X674:$i]:(((subset @ X673 @ X674)=>((subset @ X674 @ X673)=>((X673)=(X674)))))=>(![X675:$i]:(((subset @ X675 @ emptyset)=>((X675)=(emptyset))))=>(![X676:$i, X677:$i]:(((subset @ X677 @ X676)=>(in @ X677 @ (powerset @ X676))))=>(![X678:$i, X679:$i]:(((in @ X679 @ (powerset @ X678))=>(subset @ X679 @ X678)))=>(![X680:$i]:((in @ X680 @ (powerset @ X680)))=>(![X681:$i, X682:$i]:(((subset @ X681 @ X682)=>(subset @ (powerset @ X681) @ (powerset @ X682))))=>(![X683:$i, X684:$i > $o]:((in @ (dsetconstr @ X683 @ X684) @ (powerset @ X683)))=>(![X685:$i, X686:$i > $o]:((subset @ (dsetconstr @ X685 @ X686) @ X685))=>(![X687:$i, X688:$i, X689:$i]:(((in @ X689 @ X687)=>(in @ X689 @ (binunion @ X687 @ X688))))=>(![X690:$i, X691:$i]:((in @ X691 @ (setadjoin @ X690 @ (setadjoin @ X691 @ emptyset))))=>(![X692:$i, X693:$i, X694:$i]:(((in @ X694 @ X693)=>(in @ X694 @ (binunion @ X692 @ X693))))=>(![X695:$i, X696:$i, X697:$i, X698:$o]:(((in @ X697 @ (binunion @ X695 @ X696))=>(((in @ X697 @ X695)=>(X698))=>(((in @ X697 @ X696)=>(X698))=>(X698)))))=>(![X699:$i, X700:$i, X701:$i]:(((in @ X701 @ (binunion @ X699 @ X700))=>((in @ X701 @ X699)|(in @ X701 @ X700))))=>(![X702:$i, X703:$i]:((subset @ X702 @ (binunion @ X702 @ X703)))=>(![X704:$i, X705:$i]:((subset @ X705 @ (binunion @ X704 @ X705)))=>(![X706:$i, X707:$i, X708:$i]:(((in @ X708 @ X706)=>((in @ X708 @ X707)=>(in @ X708 @ (binintersect @ X706 @ X707)))))=>(![X709:$i, X710:$i, X711:$i]:(((subset @ X711 @ X709)=>((subset @ X711 @ X710)=>(subset @ X711 @ (binintersect @ X709 @ X710)))))=>(![X712:$i, X713:$i, X714:$i]:(((in @ X714 @ (binintersect @ X712 @ X713))=>(in @ X714 @ X712)))=>(![X715:$i, X716:$i]:((subset @ (binintersect @ X715 @ X716) @ X715))=>(![X717:$i, X718:$i]:(((subset @ X717 @ X718)=>((binintersect @ X717 @ X718)=(X717))))=>(![X719:$i, X720:$i]:((((binintersect @ X719 @ X720)=(X720))=>(subset @ X720 @ X719)))=>(![X721:$i, X722:$i, X723:$i]:(((in @ X723 @ (binintersect @ X721 @ X722))=>(in @ X723 @ X722)))=>(![X724:$i, X725:$i]:((~(?[X726:$i]:(((in @ X726 @ X724)&(in @ X726 @ X725))))=>((binintersect @ X724 @ X725)=(emptyset))))=>(![X727:$i, X728:$i]:((subset @ (binintersect @ X727 @ X728) @ X728))=>(![X729:$i, X730:$i]:(((subset @ X730 @ X729)=>((binintersect @ X729 @ X730)=(X730))))=>(![X731:$i, X732:$i]:((((binintersect @ X731 @ X732)=(X731))=>(subset @ X731 @ X732)))=>(![X733:$i, X734:$i, X735:$i]:(((binintersect @ X733 @ (binunion @ X734 @ X735))=(binunion @ (binintersect @ X733 @ X734) @ (binintersect @ X733 @ X735))))=>(![X736:$i, X737:$i, X738:$i]:(((in @ X738 @ X736)=>(~(in @ X738 @ X737)=>(in @ X738 @ (setminus @ X736 @ X737)))))=>(![X739:$i, X740:$i, X741:$i]:(((in @ X741 @ (setminus @ X739 @ X740))=>(in @ X741 @ X739)))=>(![X742:$i, X743:$i, X744:$i]:(((in @ X744 @ (setminus @ X742 @ X743))=>~(in @ X744 @ X743)))=>(![X745:$i, X746:$i]:(((subset @ X745 @ X746)=>((setminus @ X745 @ X746)=(emptyset))))=>(![X747:$i, X748:$i, X749:$i]:((~(in @ X749 @ (setminus @ X747 @ X748))=>((in @ X749 @ X747)=>(in @ X749 @ X748))))=>(![X750:$i, X751:$i, X752:$i]:((~(in @ X752 @ (setminus @ X750 @ X751))=>(~(in @ X752 @ X751)=>~(in @ X752 @ X750))))=>(![X753:$i, X754:$i, X755:$i]:((~(in @ X755 @ X753)=>~(in @ X755 @ (setminus @ X753 @ X754))))=>(![X756:$i, X757:$i, X758:$i]:(((in @ X758 @ X757)=>~(in @ X758 @ (setminus @ X756 @ X757))))=>(![X759:$i, X760:$i]:((subset @ (setminus @ X759 @ X760) @ X759))=>(![X761:$i, X762:$i]:((((setminus @ X761 @ X762)=(emptyset))=>(subset @ X761 @ X762)))=>(![X763:$i, X764:$i, X765:$i]:(((in @ X765 @ (symdiff @ X763 @ X764))=>![X766:$o]:((((in @ X765 @ X763)=>(~(in @ X765 @ X764)=>(X766)))=>((~(in @ X765 @ X763)=>((in @ X765 @ X764)=>(X766)))=>(X766))))))=>(![X767:$i, X768:$i, X769:$i]:(((in @ X769 @ X767)=>(~(in @ X769 @ X768)=>(in @ X769 @ (symdiff @ X767 @ X768)))))=>![X4:$i, X5:$i, X2:$i]:((~(in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_148, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_149]), foundationAx]), wellorderingAx]), c_0_150]), c_0_151]), c_0_152]), c_0_153]), c_0_154]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_155]), setext]), emptyI]), noeltsimpempty]), c_0_156]), c_0_157]), c_0_158]), c_0_159]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_160]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_161]), c_0_162]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_163]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_164]), c_0_165]), c_0_166]), inCongP]), in__Cong]), c_0_167]), c_0_168]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_169]), c_0_170]), c_0_171]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_172]), c_0_173]), 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])])]), c_0_174])).
% 201.01/29.41  thf(c_0_176, plain, ![X770:$i, X771:$i]:(((symdiff @ X770 @ X771)=(dsetconstr @ (binunion @ X770 @ X771) @ (^[Z0:$i]:(((~((in @ Z0 @ X770)))|(~((in @ Z0 @ X771))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[symdiff])])).
% 201.01/29.41  thf(c_0_177, negated_conjecture, ![X774:$i, X775:$i, X777:$i, X778:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X785:$i, X787:$i, X788:$i, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X796:$i, X797:$i > $i > $o, X798:$i, X800:$i, X803:$i, X805:$i, X806:$i, X807:$i, X808:$i, X810:$i, X811:$i > $o, X812:$i, X814:$i, X815:$i > $o, X816:$i, X817:$i, X818:$i > $o, X819:$i, X820:$i, X821:$i > $o, X822:$i, X823:$i > $o, X824:$i, X827:$i, X828:$o, X829:$i, X830:$i, X831:$o, X832:$i, X833:$i, X834:$i > $o, X835:$i, X838:$i, X839:$i, X842:$i, X844:$i, X846:$i, X847:$i > $o, X848:$i, X849:$i, X851:$i, X852:$i > $o, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$o, X865:$i, X866:$i, X867:$i, X868:$i, X869:$i, X870:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$o, X884:$i, X885:$i, X886:$i > $o, X887:$i, X890:$i, X891:$i, X892:$i, X894:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i, X906:$i, X907:$i, X908:$i, X909:$i, X910:$i > $o, X911:$i, X912:$i > $o, X913:$i, X914:$i, X915:$i > $o, X916:$i, X918:$i, X919:$i > $o, X921:$i, X922:$i, X923:$i > $o, X925:$i, X926:$i, X927:$i > $o, X928:$i, X930:$o, X931:$o, X932:$i, X933:$i > $o, X935:$i, X936:$i, X937:$i > $o, X938:$i, X940:$i > $o, X941:$i, X944:$i, X945:$i > $o, X946:$i, X950:$i, X951:$i > $o, X952:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i > $o, X965:$i, X967:$i, X968:$i, X969:$i > $o, X970:$i > $o, X973:$i, X976:$i, X977:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i > $o, X990:$i, X992:$i, X993:$i, X994:$i > $o, X995:$i > $o, X998:$i, X1000:$i, X1002:$i, X1003:$i, X1004:$i > $o, X1005:$i > $o, X1008:$i, X1009:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, 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:$i, X1054:$i, X1055:$i > $o, X1056:$i, X1057:$i > $o, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$o, X1070:$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:$i, X1094:$i, X1095:$i, X1096:$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, X1124:$i, X1125:$i, X1126:$i, X1127:$i, X1128:$i, X1129:$i, X1130:$i, X1131:$i, X1132:$i, X1133:$i, X1134:$i, X1135:$i, X1136:$i, X1137:$o, X1138:$i, X1139:$i, X1140:$i]:((((~(in @ (esk1_2 @ X774 @ X775) @ X774)|~(in @ (esk1_2 @ X774 @ X775) @ X775)|((X774)=(X775)))&((in @ (esk1_2 @ X774 @ X775) @ X774)|(in @ (esk1_2 @ X774 @ X775) @ X775)|((X774)=(X775))))&(~(in @ X777 @ emptyset)&(((~(in @ X780 @ (setadjoin @ X778 @ X779))|(((X780)=(X778))|(in @ X780 @ X779)))&((((X780)!=(X778))|(in @ X780 @ (setadjoin @ X778 @ X779)))&(~(in @ X780 @ X779)|(in @ X780 @ (setadjoin @ X778 @ X779)))))&(((~(in @ X782 @ (powerset @ X781))|(~(in @ X783 @ X782)|(in @ X783 @ X781)))&(((in @ (esk2_2 @ X784 @ X785) @ X785)|(in @ X785 @ (powerset @ X784)))&(~(in @ (esk2_2 @ X784 @ X785) @ X784)|(in @ X785 @ (powerset @ X784)))))&(((((in @ X788 @ (esk3_2 @ X787 @ X788))|~(in @ X788 @ (setunion @ X787)))&((in @ (esk3_2 @ X787 @ X788) @ X787)|~(in @ X788 @ (setunion @ X787))))&(~(in @ X791 @ X792)|~(in @ X792 @ X790)|(in @ X791 @ (setunion @ X790))))&((in @ emptyset @ omega)&((~(in @ X793 @ omega)|(in @ (setadjoin @ X793 @ X793) @ omega))&(((((in @ (esk4_1 @ X794) @ omega)|~(in @ emptyset @ X794)|(~(in @ X796 @ omega)|(in @ X796 @ X794)))&((in @ (esk4_1 @ X794) @ X794)|~(in @ emptyset @ X794)|(~(in @ X796 @ omega)|(in @ X796 @ X794))))&(~(in @ (setadjoin @ (esk4_1 @ X794) @ (esk4_1 @ X794)) @ X794)|~(in @ emptyset @ X794)|(~(in @ X796 @ omega)|(in @ X796 @ X794))))&((((((in @ (esk8_3 @ X797 @ X798 @ X803) @ X798)|~(in @ X803 @ (esk7_2 @ X797 @ X798))|(in @ (esk5_2 @ X797 @ X798) @ X798))&((X797 @ (esk8_3 @ X797 @ X798 @ X803) @ X803)|~(in @ X803 @ (esk7_2 @ X797 @ X798))|(in @ (esk5_2 @ X797 @ X798) @ X798)))&(~(in @ X806 @ X798)|~(X797 @ X806 @ X805)|(in @ X805 @ (esk7_2 @ X797 @ X798))|(in @ (esk5_2 @ X797 @ X798) @ X798)))&(((((in @ (esk8_3 @ X797 @ X798 @ X803) @ X798)|~(in @ X803 @ (esk7_2 @ X797 @ X798))|((X797 @ (esk5_2 @ X797 @ X798) @ (esk6_3 @ X797 @ X798 @ X800))|~(X797 @ (esk5_2 @ X797 @ X798) @ X800)))&((X797 @ (esk8_3 @ X797 @ X798 @ X803) @ X803)|~(in @ X803 @ (esk7_2 @ X797 @ X798))|((X797 @ (esk5_2 @ X797 @ X798) @ (esk6_3 @ X797 @ X798 @ X800))|~(X797 @ (esk5_2 @ X797 @ X798) @ X800))))&(~(in @ X806 @ X798)|~(X797 @ X806 @ X805)|(in @ X805 @ (esk7_2 @ X797 @ X798))|((X797 @ (esk5_2 @ X797 @ X798) @ (esk6_3 @ X797 @ X798 @ X800))|~(X797 @ (esk5_2 @ X797 @ X798) @ X800))))&((((in @ (esk8_3 @ X797 @ X798 @ X803) @ X798)|~(in @ X803 @ (esk7_2 @ X797 @ X798))|(((X800)!=(esk6_3 @ X797 @ X798 @ X800))|~(X797 @ (esk5_2 @ X797 @ X798) @ X800)))&((X797 @ (esk8_3 @ X797 @ X798 @ X803) @ X803)|~(in @ X803 @ (esk7_2 @ X797 @ X798))|(((X800)!=(esk6_3 @ X797 @ X798 @ X800))|~(X797 @ (esk5_2 @ X797 @ X798) @ X800))))&(~(in @ X806 @ X798)|~(X797 @ X806 @ X805)|(in @ X805 @ (esk7_2 @ X797 @ X798))|(((X800)!=(esk6_3 @ X797 @ X798 @ X800))|~(X797 @ (esk5_2 @ X797 @ X798) @ X800))))))&((((in @ (esk9_1 @ X807) @ X807)|~(in @ X808 @ X807))&(~(in @ X810 @ (esk9_1 @ X807))|~(in @ X810 @ X807)|~(in @ X808 @ X807)))&((epred1_0)&((((X811 @ (esk10_2 @ X811 @ X812))|~(X811 @ X812)|(X811 @ (descr @ X811)))&(((X812)!=(esk10_2 @ X811 @ X812))|~(X811 @ X812)|(X811 @ (descr @ X811))))&((~(in @ X816 @ X814)|(~(X815 @ X816)|(in @ X816 @ (dsetconstr @ X814 @ X815))))&((~(in @ X819 @ (dsetconstr @ X817 @ X818))|(in @ X819 @ X817))&((~(in @ X822 @ (dsetconstr @ X820 @ X821))|(X821 @ X822))&(((((X823 @ (esk12_1 @ X823))|((X823 @ (esk11_2 @ X823 @ X824))|~(X823 @ X824)))&(~(X823 @ X827)|((esk12_1 @ X823)=(X827))|((X823 @ (esk11_2 @ X823 @ X824))|~(X823 @ X824))))&(((X823 @ (esk12_1 @ X823))|(((X824)!=(esk11_2 @ X823 @ X824))|~(X823 @ X824)))&(~(X823 @ X827)|((esk12_1 @ X823)=(X827))|(((X824)!=(esk11_2 @ X823 @ X824))|~(X823 @ X824)))))&((~(in @ X829 @ (prop2set @ ((X828))))|(X828))&((~(in @ X830 @ emptyset)|(X831))&((~(in @ X832 @ emptyset)|~($true))&(~(in @ X833 @ emptyset)&((((X834 @ (esk13_2 @ X834 @ X835))|~(X834 @ X835)|(X834 @ (esk14_1 @ X834)))&(((X835)!=(esk13_2 @ X834 @ X835))|~(X834 @ X835)|(X834 @ (esk14_1 @ X834))))&(((((in @ (esk16_2 @ X838 @ X839) @ X839)|((X838)=(X839))|(in @ (esk15_2 @ X838 @ X839) @ X838))&(~(in @ (esk16_2 @ X838 @ X839) @ X838)|((X838)=(X839))|(in @ (esk15_2 @ X838 @ X839) @ X838)))&(((in @ (esk16_2 @ X838 @ X839) @ X839)|((X838)=(X839))|~(in @ (esk15_2 @ X838 @ X839) @ X839))&(~(in @ (esk16_2 @ X838 @ X839) @ X838)|((X838)=(X839))|~(in @ (esk15_2 @ X838 @ X839) @ X839))))&(((in @ (esk17_1 @ X842) @ X842)|((X842)=(emptyset)))&(((in @ (esk18_1 @ X844) @ X844)|((X844)=(emptyset)))&(((~(in @ X848 @ (dsetconstr @ X846 @ X847))|(X847 @ X848)|~(in @ X848 @ X846))&(~(X847 @ X848)|(in @ X848 @ (dsetconstr @ X846 @ X847))|~(in @ X848 @ X846)))&((((X849)=(emptyset))|(in @ (esk19_1 @ X849) @ X849))&((~(in @ X853 @ X851)|(~(X852 @ X853)|((dsetconstr @ X851 @ X852)!=(emptyset))))&((~(in @ X855 @ X854)|((X854)!=(emptyset)))&((in @ X856 @ (setadjoin @ X856 @ X857))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X860 @ X859)|(in @ X860 @ (setadjoin @ X858 @ X859)))&(((((in @ X863 @ X862)|(X864)|((X863)=(X861))|~(in @ X863 @ (setadjoin @ X861 @ X862)))&(~(X864)|(X864)|((X863)=(X861))|~(in @ X863 @ (setadjoin @ X861 @ X862))))&(((in @ X863 @ X862)|(X864)|~(X864)|~(in @ X863 @ (setadjoin @ X861 @ X862)))&(~(X864)|(X864)|~(X864)|~(in @ X863 @ (setadjoin @ X861 @ X862)))))&((~(in @ X867 @ (setadjoin @ X865 @ X866))|(((X867)=(X865))|(in @ X867 @ X866)))&(((dsetconstr @ X868 @ (^[Z0:$i]:($true)))=(X868))&((((in @ (esk20_2 @ X869 @ X870) @ X870)|(in @ X870 @ (powerset @ X869)))&(~(in @ (esk20_2 @ X869 @ X870) @ X869)|(in @ X870 @ (powerset @ X869))))&((in @ emptyset @ (powerset @ X872))&((in @ emptyset @ (powerset @ X873))&((~(in @ X875 @ (powerset @ X874))|(~(in @ X876 @ X875)|(in @ X876 @ X874)))&((~(in @ X878 @ X879)|(~(in @ X879 @ X877)|(in @ X878 @ (setunion @ X877))))&((((in @ X881 @ (esk21_3 @ X880 @ X881 @ X882))|(X882)|~(in @ X881 @ (setunion @ X880)))&(((in @ (esk21_3 @ X880 @ X881 @ X882) @ 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@ X1009)))&((((X1011)!=(X1012))|(subset @ X1012 @ X1011))&((((X1013)!=(X1014))|(subset @ X1013 @ X1014))&((((in @ (esk53_2 @ X1015 @ X1016) @ X1015)|(subset @ X1015 @ X1016))&(~(in @ (esk53_2 @ X1015 @ X1016) @ X1016)|(subset @ X1015 @ X1016)))&((subset @ emptyset @ X1018)&((~(subset @ X1019 @ X1020)|(~(in @ X1021 @ X1019)|(in @ X1021 @ X1020)))&((~(subset @ X1022 @ X1023)|((in @ X1024 @ X1023)|~(in @ X1024 @ X1022)))&((~(in @ X1027 @ X1025)|((in @ X1027 @ X1026)|~(subset @ X1025 @ X1026)))&(((subset @ X1028 @ X1029)|((X1028)!=(X1029)))&((~(in @ X1032 @ X1030)|((in @ X1032 @ X1031)|((X1030)!=(X1031))))&((subset @ X1033 @ X1033)&((~(subset @ X1034 @ X1035)|(~(subset @ X1035 @ X1036)|(subset @ X1034 @ X1036)))&((subset @ X1038 @ (setadjoin @ X1037 @ X1038))&((~(subset @ X1039 @ X1041)|(subset @ X1039 @ (setadjoin @ X1040 @ X1041)))&((~(subset @ X1042 @ X1043)|(in @ X1042 @ (powerset @ X1043)))&((~(subset @ X1044 @ X1045)|(~(subset @ X1045 @ X1044)|((X1044)=(X1045))))&((~(subset @ X1046 @ emptyset)|((X1046)=(emptyset)))&((~(subset @ X1048 @ X1047)|(in @ X1048 @ (powerset @ X1047)))&((~(in @ X1050 @ (powerset @ X1049))|(subset @ X1050 @ X1049))&((in @ X1051 @ (powerset @ X1051))&((~(subset @ X1052 @ X1053)|(subset @ (powerset @ X1052) @ (powerset @ X1053)))&((in @ (dsetconstr @ X1054 @ X1055) @ (powerset @ X1054))&((subset @ (dsetconstr @ X1056 @ X1057) @ X1056)&((~(in @ X1060 @ X1058)|(in @ X1060 @ (binunion @ X1058 @ X1059)))&((in @ X1062 @ (setadjoin @ X1061 @ (setadjoin @ X1062 @ emptyset)))&((~(in @ X1065 @ X1064)|(in @ X1065 @ (binunion @ X1063 @ X1064)))&(((((in @ X1068 @ X1067)|(X1069)|(in @ X1068 @ X1066)|~(in @ X1068 @ (binunion @ X1066 @ X1067)))&(~(X1069)|(X1069)|(in @ X1068 @ X1066)|~(in @ X1068 @ (binunion @ X1066 @ X1067))))&(((in @ X1068 @ X1067)|(X1069)|~(X1069)|~(in @ X1068 @ (binunion @ X1066 @ X1067)))&(~(X1069)|(X1069)|~(X1069)|~(in @ X1068 @ (binunion @ X1066 @ X1067)))))&((~(in @ X1072 @ (binunion @ X1070 @ X1071))|((in @ X1072 @ X1070)|(in @ X1072 @ X1071)))&((subset @ X1073 @ (binunion @ X1073 @ X1074))&((subset @ X1076 @ (binunion @ X1075 @ X1076))&((~(in @ X1079 @ X1077)|(~(in @ X1079 @ X1078)|(in @ X1079 @ (binintersect @ X1077 @ X1078))))&((~(subset @ X1082 @ X1080)|(~(subset @ X1082 @ X1081)|(subset @ X1082 @ (binintersect @ X1080 @ X1081))))&((~(in @ X1085 @ (binintersect @ X1083 @ X1084))|(in @ X1085 @ X1083))&((subset @ (binintersect @ X1086 @ X1087) @ X1086)&((~(subset @ X1088 @ X1089)|((binintersect @ X1088 @ X1089)=(X1088)))&((((binintersect @ X1090 @ X1091)!=(X1091))|(subset @ X1091 @ X1090))&((~(in @ X1094 @ (binintersect @ X1092 @ X1093))|(in @ X1094 @ X1093))&((((in @ (esk54_2 @ X1095 @ X1096) @ X1095)|((binintersect @ X1095 @ X1096)=(emptyset)))&((in @ (esk54_2 @ X1095 @ X1096) @ X1096)|((binintersect @ X1095 @ X1096)=(emptyset))))&((subset @ (binintersect @ X1098 @ X1099) @ X1099)&((~(subset @ X1101 @ X1100)|((binintersect @ X1100 @ X1101)=(X1101)))&((((binintersect @ X1102 @ X1103)!=(X1102))|(subset @ X1102 @ X1103))&(((binintersect @ X1104 @ (binunion @ X1105 @ X1106))=(binunion @ (binintersect @ X1104 @ X1105) @ (binintersect @ X1104 @ X1106)))&((~(in @ X1109 @ X1107)|((in @ X1109 @ X1108)|(in @ X1109 @ (setminus @ X1107 @ X1108))))&((~(in @ X1112 @ (setminus @ X1110 @ X1111))|(in @ X1112 @ X1110))&((~(in @ X1115 @ (setminus @ X1113 @ X1114))|~(in @ X1115 @ X1114))&((~(subset @ X1116 @ X1117)|((setminus @ X1116 @ X1117)=(emptyset)))&(((in @ X1120 @ (setminus @ X1118 @ X1119))|(~(in @ X1120 @ X1118)|(in @ X1120 @ X1119)))&(((in @ X1123 @ (setminus @ X1121 @ X1122))|((in @ X1123 @ X1122)|~(in @ X1123 @ X1121)))&(((in @ X1126 @ X1124)|~(in @ X1126 @ (setminus @ X1124 @ X1125)))&((~(in @ X1129 @ X1128)|~(in @ X1129 @ (setminus @ X1127 @ X1128)))&((subset @ (setminus @ X1130 @ X1131) @ X1130)&((((setminus @ X1132 @ X1133)!=(emptyset))|(subset @ X1132 @ X1133))&((((~(in @ X1136 @ X1134)|(X1137)|(in @ X1136 @ X1134)|~(in @ X1136 @ (symdiff @ X1134 @ X1135)))&(((in @ X1136 @ X1135)|(X1137)|(in @ X1136 @ X1134)|~(in @ X1136 @ (symdiff @ X1134 @ X1135)))&(~(X1137)|(X1137)|(in @ X1136 @ X1134)|~(in @ X1136 @ (symdiff @ X1134 @ X1135)))))&(((~(in @ X1136 @ X1134)|(X1137)|~(in @ X1136 @ X1135)|~(in @ X1136 @ (symdiff @ X1134 @ X1135)))&(((in @ X1136 @ X1135)|(X1137)|~(in @ X1136 @ X1135)|~(in @ X1136 @ (symdiff @ X1134 @ X1135)))&(~(X1137)|(X1137)|~(in @ X1136 @ X1135)|~(in @ X1136 @ (symdiff @ X1134 @ X1135)))))&((~(in @ X1136 @ X1134)|(X1137)|~(X1137)|~(in @ X1136 @ (symdiff @ X1134 @ X1135)))&(((in @ X1136 @ X1135)|(X1137)|~(X1137)|~(in @ X1136 @ (symdiff @ X1134 @ X1135)))&(~(X1137)|(X1137)|~(X1137)|~(in @ X1136 @ (symdiff @ X1134 @ X1135)))))))&((~(in @ X1140 @ X1138)|((in @ X1140 @ X1139)|(in @ X1140 @ (symdiff @ X1138 @ X1139))))&(~(in @ esk57_0 @ esk55_0)&((in @ esk57_0 @ esk56_0)&~(in @ esk57_0 @ (symdiff @ esk55_0 @ esk56_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_175])])])])])])])).
% 201.01/29.41  thf(c_0_178, plain, ![X772:$i, X773:$i]:(((symdiff @ X772 @ X773)=(dsetconstr @ (binunion @ X772 @ X773) @ (^[Z0:$i]:(((~((in @ Z0 @ X772)))|(~((in @ Z0 @ X773))))))))), inference(variable_rename,[status(thm)],[c_0_176])).
% 201.01/29.41  thf(c_0_179, negated_conjecture, ~((in @ esk57_0 @ (symdiff @ esk55_0 @ esk56_0))), inference(split_conjunct,[status(thm)],[c_0_177])).
% 201.01/29.41  thf(c_0_180, plain, ![X2:$i, X3:$i]:(((symdiff @ X2 @ X3)=(dsetconstr @ (binunion @ X2 @ X3) @ (^[Z0:$i]:(((~((in @ Z0 @ X2)))|(~((in @ Z0 @ X3))))))))), inference(split_conjunct,[status(thm)],[c_0_178])).
% 201.01/29.41  thf(c_0_181, negated_conjecture, ~((in @ esk57_0 @ (dsetconstr @ (binunion @ esk55_0 @ esk56_0) @ (^[Z0:$i]:(((~((in @ Z0 @ esk55_0)))|(~((in @ Z0 @ esk56_0))))))))), inference(rw,[status(thm)],[c_0_179, c_0_180])).
% 201.01/29.41  thf(c_0_182, negated_conjecture, ![X1:$i > $o, X2:$i, X3:$i]:(((in @ X2 @ (dsetconstr @ X3 @ X1))|~((X1 @ X2))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_177])).
% 201.01/29.41  thf(c_0_183, negated_conjecture, (in @ esk57_0 @ esk56_0), inference(split_conjunct,[status(thm)],[c_0_177])).
% 201.01/29.41  thf(c_0_184, negated_conjecture, (~((in @ esk57_0 @ (binunion @ esk55_0 @ esk56_0)))|~(~((in @ esk57_0 @ esk55_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_182]), c_0_183])])).
% 201.01/29.41  thf(c_0_185, negated_conjecture, ~((in @ esk57_0 @ esk55_0)), inference(split_conjunct,[status(thm)],[c_0_177])).
% 201.01/29.41  thf(c_0_186, negated_conjecture, ~((in @ esk57_0 @ (binunion @ esk55_0 @ esk56_0))), inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_184]), c_0_185])).
% 201.01/29.41  thf(c_0_187, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (binunion @ X4 @ X3))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_177])).
% 201.01/29.41  thf(c_0_188, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186, c_0_187]), c_0_183])]), ['proof']).
% 201.01/29.41  % SZS output end CNFRefutation
% 201.01/29.41  % Parsed axioms                        : 282
% 201.01/29.41  % Removed by relevancy pruning/SinE    : 0
% 201.01/29.41  % Initial clauses                      : 404
% 201.01/29.41  % Removed in clause preprocessing      : 174
% 201.01/29.41  % Initial clauses in saturation        : 230
% 201.01/29.41  % Processed clauses                    : 440
% 201.01/29.41  % ...of these trivial                  : 3
% 201.01/29.41  % ...subsumed                          : 23
% 201.01/29.41  % ...remaining for further processing  : 414
% 201.01/29.41  % Other redundant clauses eliminated   : 29
% 201.01/29.41  % Clauses deleted for lack of memory   : 0
% 201.01/29.41  % Backward-subsumed                    : 0
% 201.01/29.41  % Backward-rewritten                   : 1
% 201.01/29.41  % Generated clauses                    : 3077
% 201.01/29.41  % ...of the previous two non-redundant : 2967
% 201.01/29.41  % ...aggressively subsumed             : 0
% 201.01/29.41  % Contextual simplify-reflections      : 0
% 201.01/29.41  % Paramodulations                      : 3037
% 201.01/29.41  % Factorizations                       : 2
% 201.01/29.41  % NegExts                              : 0
% 201.01/29.41  % Equation resolutions                 : 29
% 201.01/29.41  % Disequality decompositions           : 0
% 201.01/29.41  % Total rewrite steps                  : 96
% 201.01/29.41  % ...of those cached                   : 62
% 201.01/29.41  % Propositional unsat checks           : 0
% 201.01/29.41  %    Propositional check models        : 0
% 201.01/29.41  %    Propositional check unsatisfiable : 0
% 201.01/29.41  %    Propositional clauses             : 0
% 201.01/29.41  %    Propositional clauses after purity: 0
% 201.01/29.41  %    Propositional unsat core size     : 0
% 201.01/29.41  %    Propositional preprocessing time  : 0.000
% 201.01/29.41  %    Propositional encoding time       : 0.000
% 201.01/29.41  %    Propositional solver time         : 0.000
% 201.01/29.41  %    Success case prop preproc time    : 0.000
% 201.01/29.41  %    Success case prop encoding time   : 0.000
% 201.01/29.41  %    Success case prop solver time     : 0.000
% 201.01/29.41  % Current number of processed clauses  : 200
% 201.01/29.41  %    Positive orientable unit clauses  : 21
% 201.01/29.41  %    Positive unorientable unit clauses: 0
% 201.01/29.41  %    Negative unit clauses             : 5
% 201.01/29.41  %    Non-unit-clauses                  : 174
% 201.01/29.41  % Current number of unprocessed clauses: 2956
% 201.01/29.41  % ...number of literals in the above   : 11861
% 201.01/29.41  % Current number of archived formulas  : 0
% 201.01/29.41  % Current number of archived clauses   : 202
% 201.01/29.41  % Clause-clause subsumption calls (NU) : 13656
% 201.01/29.41  % Rec. Clause-clause subsumption calls : 3773
% 201.01/29.41  % Non-unit clause-clause subsumptions  : 17
% 201.01/29.41  % Unit Clause-clause subsumption calls : 17
% 201.01/29.41  % Rewrite failures with RHS unbound    : 0
% 201.01/29.41  % BW rewrite match attempts            : 11
% 201.01/29.41  % BW rewrite match successes           : 1
% 201.01/29.41  % Condensation attempts                : 0
% 201.01/29.41  % Condensation successes               : 0
% 201.01/29.41  % Termbank termtop insertions          : 94518
% 201.01/29.41  % Search garbage collected termcells   : 12854
% 201.01/29.41  
% 201.01/29.41  % -------------------------------------------------
% 201.01/29.41  % User time                : 27.325 s
% 201.01/29.41  % System time              : 0.945 s
% 201.01/29.41  % Total time               : 28.270 s
% 201.01/29.41  % Maximum resident set size: 6220 pages
% 201.01/29.41  
% 201.01/29.41  % -------------------------------------------------
% 201.01/29.41  % User time                : 27.333 s
% 201.01/29.41  % System time              : 0.953 s
% 201.01/29.41  % Total time               : 28.286 s
% 201.01/29.41  % Maximum resident set size: 5120 pages
% 201.01/29.41  % E exiting
%------------------------------------------------------------------------------