E---3.5.1.THM-CRf.s

%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU610^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 0.22s 0.34s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU610^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n013.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 13:57:06 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.08/0.25  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p
% 0.22/0.34  % Version: 3.5.1-ho
% 0.22/0.34  % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.22/0.34  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.34  % Starting ehoh_best5 with 300s (1) cores
% 0.22/0.34  % Starting almost_fo_3_lam with 300s (1) cores
% 0.22/0.34  % Starting new_bool_5 with 300s (1) cores
% 0.22/0.34  % Starting pre_casc_3 with 300s (1) cores
% 0.22/0.34  % Starting ho_unfolding_8 with 300s (1) cores
% 0.22/0.34  % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.22/0.34  % Starting new_bool_3 with 300s (1) cores
% 0.22/0.34  % Starting new_ho_5 with 300s (1) cores
% 0.22/0.34  % new_ho_10_cnf2 with pid 2160064 completed with status 0
% 0.22/0.34  % Result found by new_ho_10_cnf2
% 0.22/0.34  % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.22/0.34  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.34  % Starting ehoh_best5 with 300s (1) cores
% 0.22/0.34  % Starting almost_fo_3_lam with 300s (1) cores
% 0.22/0.34  % Starting new_bool_5 with 300s (1) cores
% 0.22/0.34  % Starting pre_casc_3 with 300s (1) cores
% 0.22/0.34  % Starting ho_unfolding_8 with 300s (1) cores
% 0.22/0.34  % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.22/0.34  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.34  % No SInE strategy applied
% 0.22/0.34  % Search class: HGHSM-FSLM31-SHFMMSBN
% 0.22/0.34  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.34  % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.34  % SubtermCWHack with pid 2160077 completed with status 0
% 0.22/0.34  % Result found by SubtermCWHack
% 0.22/0.34  % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.22/0.34  % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.34  % Starting ehoh_best5 with 300s (1) cores
% 0.22/0.34  % Starting almost_fo_3_lam with 300s (1) cores
% 0.22/0.34  % Starting new_bool_5 with 300s (1) cores
% 0.22/0.34  % Starting pre_casc_3 with 300s (1) cores
% 0.22/0.34  % Starting ho_unfolding_8 with 300s (1) cores
% 0.22/0.34  % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.22/0.34  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.34  % No SInE strategy applied
% 0.22/0.34  % Search class: HGHSM-FSLM31-SHFMMSBN
% 0.22/0.34  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.34  % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.34  % Preprocessing time       : 0.004 s
% 0.22/0.34  
% 0.22/0.34  % Proof found!
% 0.22/0.34  % SZS status Theorem
% 0.22/0.34  % SZS output start CNFRefutation
% 0.22/0.34  thf(decl_23, type, in: $i > $i > $o).
% 0.22/0.34  thf(decl_24, type, exu: ($i > $o) > $o).
% 0.22/0.34  thf(decl_25, type, setextAx: $o).
% 0.22/0.34  thf(decl_26, type, emptyset: $i).
% 0.22/0.34  thf(decl_27, type, emptysetAx: $o).
% 0.22/0.34  thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.22/0.34  thf(decl_29, type, setadjoinAx: $o).
% 0.22/0.34  thf(decl_30, type, powerset: $i > $i).
% 0.22/0.34  thf(decl_31, type, powersetAx: $o).
% 0.22/0.34  thf(decl_32, type, setunion: $i > $i).
% 0.22/0.34  thf(decl_33, type, setunionAx: $o).
% 0.22/0.34  thf(decl_34, type, omega: $i).
% 0.22/0.34  thf(decl_35, type, omega0Ax: $o).
% 0.22/0.34  thf(decl_36, type, omegaSAx: $o).
% 0.22/0.34  thf(decl_37, type, omegaIndAx: $o).
% 0.22/0.34  thf(decl_38, type, replAx: $o).
% 0.22/0.34  thf(decl_39, type, foundationAx: $o).
% 0.22/0.34  thf(decl_40, type, wellorderingAx: $o).
% 0.22/0.34  thf(decl_41, type, descr: ($i > $o) > $i).
% 0.22/0.34  thf(decl_42, type, descrp: $o).
% 0.22/0.34  thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.34  thf(decl_44, type, dsetconstrI: $o).
% 0.22/0.34  thf(decl_45, type, dsetconstrEL: $o).
% 0.22/0.34  thf(decl_46, type, dsetconstrER: $o).
% 0.22/0.34  thf(decl_47, type, exuE1: $o).
% 0.22/0.34  thf(decl_48, type, prop2set: $o > $i).
% 0.22/0.34  thf(decl_49, type, prop2setE: $o).
% 0.22/0.34  thf(decl_50, type, emptysetE: $o).
% 0.22/0.34  thf(decl_51, type, emptysetimpfalse: $o).
% 0.22/0.34  thf(decl_52, type, notinemptyset: $o).
% 0.22/0.34  thf(decl_53, type, exuE3e: $o).
% 0.22/0.34  thf(decl_54, type, setext: $o).
% 0.22/0.34  thf(decl_55, type, emptyI: $o).
% 0.22/0.34  thf(decl_56, type, noeltsimpempty: $o).
% 0.22/0.34  thf(decl_57, type, setbeta: $o).
% 0.22/0.34  thf(decl_58, type, nonempty: $i > $o).
% 0.22/0.34  thf(decl_59, type, nonemptyE1: $o).
% 0.22/0.34  thf(decl_60, type, nonemptyI: $o).
% 0.22/0.34  thf(decl_61, type, nonemptyI1: $o).
% 0.22/0.34  thf(decl_62, type, setadjoinIL: $o).
% 0.22/0.34  thf(decl_63, type, emptyinunitempty: $o).
% 0.22/0.34  thf(decl_64, type, setadjoinIR: $o).
% 0.22/0.34  thf(decl_65, type, setadjoinE: $o).
% 0.22/0.34  thf(decl_66, type, setadjoinOr: $o).
% 0.22/0.34  thf(decl_67, type, setoftrueEq: $o).
% 0.22/0.34  thf(decl_68, type, powersetI: $o).
% 0.22/0.34  thf(decl_69, type, emptyinPowerset: $o).
% 0.22/0.34  thf(decl_70, type, emptyInPowerset: $o).
% 0.22/0.34  thf(decl_71, type, powersetE: $o).
% 0.22/0.34  thf(decl_72, type, setunionI: $o).
% 0.22/0.34  thf(decl_73, type, setunionE: $o).
% 0.22/0.34  thf(decl_74, type, subPowSU: $o).
% 0.22/0.34  thf(decl_75, type, exuE2: $o).
% 0.22/0.34  thf(decl_76, type, nonemptyImpWitness: $o).
% 0.22/0.34  thf(decl_77, type, uniqinunit: $o).
% 0.22/0.34  thf(decl_78, type, notinsingleton: $o).
% 0.22/0.34  thf(decl_79, type, eqinunit: $o).
% 0.22/0.34  thf(decl_80, type, singletonsswitch: $o).
% 0.22/0.34  thf(decl_81, type, upairsetE: $o).
% 0.22/0.34  thf(decl_82, type, upairsetIL: $o).
% 0.22/0.34  thf(decl_83, type, upairsetIR: $o).
% 0.22/0.34  thf(decl_84, type, emptyE1: $o).
% 0.22/0.34  thf(decl_85, type, vacuousDall: $o).
% 0.22/0.34  thf(decl_86, type, quantDeMorgan1: $o).
% 0.22/0.34  thf(decl_87, type, quantDeMorgan2: $o).
% 0.22/0.34  thf(decl_88, type, quantDeMorgan3: $o).
% 0.22/0.34  thf(decl_89, type, quantDeMorgan4: $o).
% 0.22/0.34  thf(decl_90, type, prop2setI: $o).
% 0.22/0.34  thf(decl_91, type, set2prop: $i > $o).
% 0.22/0.34  thf(decl_92, type, prop2set2propI: $o).
% 0.22/0.34  thf(decl_93, type, notdexE: $o).
% 0.22/0.34  thf(decl_94, type, notdallE: $o).
% 0.22/0.34  thf(decl_95, type, exuI1: $o).
% 0.22/0.34  thf(decl_96, type, exuI3: $o).
% 0.22/0.34  thf(decl_97, type, exuI2: $o).
% 0.22/0.34  thf(decl_98, type, inCongP: $o).
% 0.22/0.34  thf(decl_99, type, in__Cong: $o).
% 0.22/0.34  thf(decl_100, type, exuE3u: $o).
% 0.22/0.34  thf(decl_101, type, exu__Cong: $o).
% 0.22/0.34  thf(decl_102, type, emptyset__Cong: $o).
% 0.22/0.34  thf(decl_103, type, setadjoin__Cong: $o).
% 0.22/0.34  thf(decl_104, type, powerset__Cong: $o).
% 0.22/0.34  thf(decl_105, type, setunion__Cong: $o).
% 0.22/0.34  thf(decl_106, type, omega__Cong: $o).
% 0.22/0.34  thf(decl_107, type, exuEu: $o).
% 0.22/0.34  thf(decl_108, type, descr__Cong: $o).
% 0.22/0.34  thf(decl_109, type, dsetconstr__Cong: $o).
% 0.22/0.34  thf(decl_110, type, subset: $i > $i > $o).
% 0.22/0.34  thf(decl_113, type, subsetI1: $o).
% 0.22/0.34  thf(decl_114, type, eqimpsubset2: $o).
% 0.22/0.34  thf(decl_115, type, eqimpsubset1: $o).
% 0.22/0.34  thf(decl_116, type, subsetI2: $o).
% 0.22/0.34  thf(decl_117, type, emptysetsubset: $o).
% 0.22/0.34  thf(decl_118, type, subsetE: $o).
% 0.22/0.34  thf(decl_119, type, subsetE2: $o).
% 0.22/0.34  thf(decl_120, type, notsubsetI: $o).
% 0.22/0.34  thf(decl_121, type, notequalI1: $o).
% 0.22/0.34  thf(decl_122, type, notequalI2: $o).
% 0.22/0.34  thf(decl_123, type, subsetRefl: $o).
% 0.22/0.34  thf(decl_124, type, subsetTrans: $o).
% 0.22/0.34  thf(decl_125, type, setadjoinSub: $o).
% 0.22/0.34  thf(decl_126, type, setadjoinSub2: $o).
% 0.22/0.34  thf(decl_127, type, subset2powerset: $o).
% 0.22/0.34  thf(decl_128, type, setextsub: $o).
% 0.22/0.34  thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.22/0.34  thf(decl_130, type, powersetI1: $o).
% 0.22/0.34  thf(decl_131, type, powersetE1: $o).
% 0.22/0.34  thf(decl_132, type, inPowerset: $o).
% 0.22/0.34  thf(decl_133, type, powersetsubset: $o).
% 0.22/0.34  thf(decl_134, type, sepInPowerset: $o).
% 0.22/0.34  thf(decl_135, type, sepSubset: $o).
% 0.22/0.34  thf(decl_136, type, binunion: $i > $i > $i).
% 0.22/0.34  thf(decl_137, type, binunionIL: $o).
% 0.22/0.34  thf(decl_138, type, upairset2IR: $o).
% 0.22/0.34  thf(decl_139, type, binunionIR: $o).
% 0.22/0.34  thf(decl_140, type, binunionEcases: $o).
% 0.22/0.34  thf(decl_141, type, binunionE: $o).
% 0.22/0.34  thf(decl_142, type, binunionLsub: $o).
% 0.22/0.34  thf(decl_143, type, binunionRsub: $o).
% 0.22/0.34  thf(decl_144, type, binintersect: $i > $i > $i).
% 0.22/0.34  thf(decl_145, type, binintersectI: $o).
% 0.22/0.34  thf(decl_146, type, binintersectSubset5: $o).
% 0.22/0.34  thf(decl_147, type, binintersectEL: $o).
% 0.22/0.34  thf(decl_148, type, binintersectLsub: $o).
% 0.22/0.34  thf(decl_149, type, binintersectSubset2: $o).
% 0.22/0.34  thf(decl_150, type, binintersectSubset3: $o).
% 0.22/0.34  thf(decl_151, type, binintersectER: $o).
% 0.22/0.34  thf(decl_152, type, disjointsetsI1: $o).
% 0.22/0.34  thf(decl_153, type, binintersectRsub: $o).
% 0.22/0.34  thf(decl_154, type, binintersectSubset4: $o).
% 0.22/0.34  thf(decl_155, type, binintersectSubset1: $o).
% 0.22/0.34  thf(decl_156, type, bs114d: $o).
% 0.22/0.34  thf(decl_158, type, setminus: $i > $i > $i).
% 0.22/0.34  thf(decl_159, type, setminusI: $o).
% 0.22/0.34  thf(decl_160, type, setminusEL: $o).
% 0.22/0.34  thf(decl_161, type, setminusER: $o).
% 0.22/0.34  thf(decl_162, type, setminusSubset2: $o).
% 0.22/0.34  thf(decl_163, type, setminusERneg: $o).
% 0.22/0.34  thf(decl_164, type, setminusELneg: $o).
% 0.22/0.34  thf(decl_165, type, setminusILneg: $o).
% 0.22/0.34  thf(decl_166, type, setminusIRneg: $o).
% 0.22/0.34  thf(decl_167, type, setminusLsub: $o).
% 0.22/0.34  thf(decl_168, type, epred1_0: $o).
% 0.22/0.34  thf(decl_169, type, esk1_2: $i > $i > $i).
% 0.22/0.34  thf(decl_170, type, esk2_2: $i > $i > $i).
% 0.22/0.34  thf(decl_171, type, esk3_2: $i > $i > $i).
% 0.22/0.34  thf(decl_172, type, esk4_1: $i > $i).
% 0.22/0.34  thf(decl_173, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.22/0.34  thf(decl_174, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.34  thf(decl_175, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.22/0.34  thf(decl_176, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.34  thf(decl_177, type, esk9_1: $i > $i).
% 0.22/0.34  thf(decl_178, type, esk10_2: ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_179, type, esk11_2: ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_180, type, esk12_1: ($i > $o) > $i).
% 0.22/0.34  thf(decl_181, type, esk13_2: ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_182, type, esk14_1: ($i > $o) > $i).
% 0.22/0.34  thf(decl_183, type, esk15_2: $i > $i > $i).
% 0.22/0.34  thf(decl_184, type, esk16_2: $i > $i > $i).
% 0.22/0.34  thf(decl_185, type, esk17_1: $i > $i).
% 0.22/0.34  thf(decl_186, type, esk18_1: $i > $i).
% 0.22/0.34  thf(decl_187, type, esk19_1: $i > $i).
% 0.22/0.34  thf(decl_188, type, esk20_2: $i > $i > $i).
% 0.22/0.34  thf(decl_189, type, esk21_3: $i > $i > $o > $i).
% 0.22/0.34  thf(decl_190, type, esk22_2: ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_191, type, esk23_1: ($i > $o) > $i).
% 0.22/0.34  thf(decl_192, type, esk24_1: $i > $i).
% 0.22/0.34  thf(decl_193, type, esk25_2: $i > ($i > $o) > $i).
% 0.22/0.34  thf(decl_194, type, esk26_2: $i > ($i > $o) > $i).
% 0.22/0.34  thf(decl_195, type, esk27_2: $i > ($i > $o) > $i).
% 0.22/0.34  thf(decl_196, type, esk28_2: $i > ($i > $o) > $i).
% 0.22/0.34  thf(decl_197, type, esk29_2: $i > ($i > $o) > $i).
% 0.22/0.34  thf(decl_198, type, esk30_2: $i > ($i > $o) > $i).
% 0.22/0.34  thf(decl_199, type, esk31_2: ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_200, type, esk32_1: ($i > $o) > $i).
% 0.22/0.34  thf(decl_201, type, esk33_1: ($i > $o) > $i).
% 0.22/0.34  thf(decl_202, type, esk34_1: ($i > $o) > $i).
% 0.22/0.34  thf(decl_203, type, esk35_1: ($i > $o) > $i).
% 0.22/0.34  thf(decl_204, type, esk36_2: ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_205, type, esk37_1: ($i > $o) > $i).
% 0.22/0.34  thf(decl_206, type, esk38_2: ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_207, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.34  thf(decl_208, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.34  thf(decl_209, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_210, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.34  thf(decl_211, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_212, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.34  thf(decl_213, type, esk45_2: ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_214, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.34  thf(decl_215, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.34  thf(decl_216, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_217, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.22/0.34  thf(decl_218, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.22/0.34  thf(decl_219, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.22/0.34  thf(decl_220, type, esk52_2: $i > $i > $i).
% 0.22/0.34  thf(decl_221, type, esk53_2: $i > $i > $i).
% 0.22/0.34  thf(decl_222, type, esk54_2: $i > $i > $i).
% 0.22/0.34  thf(decl_223, type, esk55_0: $i).
% 0.22/0.34  thf(decl_224, type, esk56_0: $i).
% 0.22/0.34  thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', replAx)).
% 0.22/0.34  thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', exu)).
% 0.22/0.34  thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', descrp)).
% 0.22/0.34  thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', exuE1)).
% 0.22/0.34  thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', exuE3e)).
% 0.22/0.34  thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', nonempty)).
% 0.22/0.34  thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', nonemptyI)).
% 0.22/0.34  thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', exuE2)).
% 0.22/0.34  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/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', exuI1)).
% 0.22/0.34  thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', exuI3)).
% 0.22/0.34  thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', exuI2)).
% 0.22/0.34  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/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', exuE3u)).
% 0.22/0.34  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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', exu__Cong)).
% 0.22/0.34  thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', exuEu)).
% 0.22/0.34  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/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', descr__Cong)).
% 0.22/0.34  thf(setminusSubset1, 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)=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setminusSubset1)).
% 0.22/0.34  thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', dsetconstrI)).
% 0.22/0.34  thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', dsetconstrEL)).
% 0.22/0.34  thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', dsetconstrER)).
% 0.22/0.34  thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setbeta)).
% 0.22/0.34  thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', nonemptyE1)).
% 0.22/0.34  thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', nonemptyI1)).
% 0.22/0.34  thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setoftrueEq)).
% 0.22/0.34  thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', nonemptyImpWitness)).
% 0.22/0.34  thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', emptyE1)).
% 0.22/0.34  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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', dsetconstr__Cong)).
% 0.22/0.34  thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', sepInPowerset)).
% 0.22/0.34  thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', sepSubset)).
% 0.22/0.34  thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setextAx)).
% 0.22/0.34  thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', emptysetAx)).
% 0.22/0.34  thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setadjoinAx)).
% 0.22/0.34  thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', powersetAx)).
% 0.22/0.34  thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setunionAx)).
% 0.22/0.34  thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', omega0Ax)).
% 0.22/0.34  thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', omegaSAx)).
% 0.22/0.34  thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', omegaIndAx)).
% 0.22/0.34  thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', foundationAx)).
% 0.22/0.34  thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', wellorderingAx)).
% 0.22/0.34  thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', prop2setE)).
% 0.22/0.34  thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', emptysetE)).
% 0.22/0.34  thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', emptysetimpfalse)).
% 0.22/0.34  thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', notinemptyset)).
% 0.22/0.34  thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setext)).
% 0.22/0.34  thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', emptyI)).
% 0.22/0.34  thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', noeltsimpempty)).
% 0.22/0.34  thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setadjoinIL)).
% 0.22/0.34  thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', emptyinunitempty)).
% 0.22/0.34  thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setadjoinIR)).
% 0.22/0.34  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/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setadjoinE)).
% 0.22/0.34  thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setadjoinOr)).
% 0.22/0.34  thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', powersetI)).
% 0.22/0.34  thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', emptyinPowerset)).
% 0.22/0.34  thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', emptyInPowerset)).
% 0.22/0.34  thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', powersetE)).
% 0.22/0.34  thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setunionI)).
% 0.22/0.34  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/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setunionE)).
% 0.22/0.34  thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', subPowSU)).
% 0.22/0.34  thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', uniqinunit)).
% 0.22/0.34  thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', notinsingleton)).
% 0.22/0.35  thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', eqinunit)).
% 0.22/0.35  thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', singletonsswitch)).
% 0.22/0.35  thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', upairsetE)).
% 0.22/0.35  thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', upairsetIL)).
% 0.22/0.35  thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', upairsetIR)).
% 0.22/0.35  thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', vacuousDall)).
% 0.22/0.35  thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', quantDeMorgan1)).
% 0.22/0.35  thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', quantDeMorgan2)).
% 0.22/0.35  thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', quantDeMorgan3)).
% 0.22/0.35  thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', quantDeMorgan4)).
% 0.22/0.35  thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', prop2setI)).
% 0.22/0.35  thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', prop2set2propI)).
% 0.22/0.35  thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', notdexE)).
% 0.22/0.35  thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', notdallE)).
% 0.22/0.35  thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', inCongP)).
% 0.22/0.35  thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', in__Cong)).
% 0.22/0.35  thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', emptyset__Cong)).
% 0.22/0.35  thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setadjoin__Cong)).
% 0.22/0.35  thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', powerset__Cong)).
% 0.22/0.35  thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setunion__Cong)).
% 0.22/0.35  thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', omega__Cong)).
% 0.22/0.35  thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', subsetI1)).
% 0.22/0.35  thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', eqimpsubset2)).
% 0.22/0.35  thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', eqimpsubset1)).
% 0.22/0.35  thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', subsetI2)).
% 0.22/0.35  thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', emptysetsubset)).
% 0.22/0.35  thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', subsetE)).
% 0.22/0.35  thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', subsetE2)).
% 0.22/0.35  thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', notsubsetI)).
% 0.22/0.35  thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', notequalI1)).
% 0.22/0.35  thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', notequalI2)).
% 0.22/0.35  thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', subsetRefl)).
% 0.22/0.35  thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', subsetTrans)).
% 0.22/0.35  thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setadjoinSub)).
% 0.22/0.35  thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setadjoinSub2)).
% 0.22/0.35  thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', subset2powerset)).
% 0.22/0.35  thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setextsub)).
% 0.22/0.35  thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', subsetemptysetimpeq)).
% 0.22/0.35  thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', powersetI1)).
% 0.22/0.35  thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', powersetE1)).
% 0.22/0.35  thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', inPowerset)).
% 0.22/0.35  thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', powersetsubset)).
% 0.22/0.35  thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binunionIL)).
% 0.22/0.35  thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', upairset2IR)).
% 0.22/0.35  thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binunionIR)).
% 0.22/0.35  thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binunionEcases)).
% 0.22/0.35  thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binunionE)).
% 0.22/0.35  thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binunionLsub)).
% 0.22/0.35  thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binunionRsub)).
% 0.22/0.35  thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binintersectI)).
% 0.22/0.35  thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binintersectSubset5)).
% 0.22/0.35  thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binintersectEL)).
% 0.22/0.35  thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binintersectLsub)).
% 0.22/0.35  thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binintersectSubset2)).
% 0.22/0.35  thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binintersectSubset3)).
% 0.22/0.35  thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binintersectER)).
% 0.22/0.35  thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', disjointsetsI1)).
% 0.22/0.35  thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binintersectRsub)).
% 0.22/0.35  thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binintersectSubset4)).
% 0.22/0.35  thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', binintersectSubset1)).
% 0.22/0.35  thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', bs114d)).
% 0.22/0.35  thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setminusI)).
% 0.22/0.35  thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setminusEL)).
% 0.22/0.35  thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setminusER)).
% 0.22/0.35  thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setminusSubset2)).
% 0.22/0.35  thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setminusERneg)).
% 0.22/0.35  thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setminusELneg)).
% 0.22/0.35  thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setminusILneg)).
% 0.22/0.35  thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setminusIRneg)).
% 0.22/0.35  thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.hd8e8yt6E1/E---3.1_2160016.p', setminusLsub)).
% 0.22/0.35  thf(c_0_129, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.22/0.35  thf(c_0_130, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.22/0.35  thf(c_0_131, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.22/0.35  thf(c_0_132, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.22/0.35  thf(c_0_133, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.22/0.35  thf(c_0_134, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.22/0.35  thf(c_0_135, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.22/0.35  thf(c_0_136, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.22/0.35  thf(c_0_137, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 0.22/0.35  thf(c_0_138, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.22/0.35  thf(c_0_139, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.22/0.35  thf(c_0_140, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 0.22/0.35  thf(c_0_141, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.22/0.35  thf(c_0_142, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.22/0.35  thf(c_0_143, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.22/0.35  thf(c_0_144, 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)=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setminusSubset1])).
% 0.22/0.35  thf(c_0_145, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X358:$i]:(((((X6 @ X2 @ X358)))&(![X359:$i]:(((((X6 @ X2 @ X359)))=>(((X358)=(X359)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_129, c_0_130])).
% 0.22/0.35  thf(c_0_146, plain, ((descrp)=(![X1:$i > $o]:((((?[X360:$i]:(((((X1 @ X360)))&(![X361:$i]:(((((X1 @ X361)))=>(((X360)=(X361))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_131, c_0_130])).
% 0.22/0.35  thf(c_0_147, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.22/0.35  thf(c_0_148, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.22/0.35  thf(c_0_149, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.22/0.35  thf(c_0_150, plain, ((exuE1)=(![X1:$i > $o]:((((?[X362:$i]:(((((X1 @ X362)))&(![X363:$i]:(((((X1 @ X363)))=>(((X362)=(X363))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_132, c_0_130])).
% 0.22/0.35  thf(c_0_151, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X364:$i]:(((((X1 @ X364)))&(![X365:$i]:(((((X1 @ X365)))=>(((X364)=(X365))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_133, c_0_130])).
% 0.22/0.35  thf(c_0_152, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.22/0.35  thf(c_0_153, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_134])).
% 0.22/0.35  thf(c_0_154, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_135, c_0_134])).
% 0.22/0.35  thf(c_0_155, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_134])).
% 0.22/0.35  thf(c_0_156, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.22/0.35  thf(c_0_157, plain, ((exuE2)=(![X1:$i > $o]:((((?[X366:$i]:(((((X1 @ X366)))&(![X367:$i]:(((((X1 @ X367)))=>(((X366)=(X367))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_136, c_0_130])).
% 0.22/0.35  thf(c_0_158, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_134])).
% 0.22/0.35  thf(c_0_159, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 0.22/0.35  thf(c_0_160, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X368:$i]:(((((X1 @ X368)))&(![X369:$i]:(((((X1 @ X369)))=>(((X368)=(X369)))))))))))))), inference(apply_def,[status(thm)],[c_0_137, c_0_130])).
% 0.22/0.35  thf(c_0_161, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X370:$i]:(((((X1 @ X370)))&(![X371:$i]:(((((X1 @ X371)))=>(((X370)=(X371)))))))))))))))), inference(apply_def,[status(thm)],[c_0_138, c_0_130])).
% 0.22/0.35  thf(c_0_162, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X372:$i]:(((((X1 @ X372)))&(![X373:$i]:(((((X1 @ X373)))=>(((X372)=(X373)))))))))))))), inference(apply_def,[status(thm)],[c_0_139, c_0_130])).
% 0.22/0.35  thf(c_0_163, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X374:$i]:(((((X1 @ X374)))&(![X375:$i]:(((((X1 @ X375)))=>(((X374)=(X375))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_140, c_0_130])).
% 0.22/0.35  thf(c_0_164, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X376:$i]:(((((X1 @ X376)))&(![X377:$i]:(((((X1 @ X377)))=>(((X376)=(X377))))))))))<=>((?[X378:$i]:(((((X17 @ X378)))&(![X379:$i]:(((((X17 @ X379)))=>(((X378)=(X379)))))))))))))))), inference(apply_def,[status(thm)],[c_0_141, c_0_130])).
% 0.22/0.35  thf(c_0_165, plain, ((exuEu)=(![X1:$i > $o]:((((?[X380:$i]:(((((X1 @ X380)))&(![X381:$i]:(((((X1 @ X381)))=>(((X380)=(X381))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_142, c_0_130])).
% 0.22/0.35  thf(c_0_166, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X382:$i]:(((((X1 @ X382)))&(![X383:$i]:(((((X1 @ X383)))=>(((X382)=(X383))))))))))=>((((?[X384:$i]:(((((X17 @ X384)))&(![X385:$i]:(((((X17 @ X385)))=>(((X384)=(X385))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_143, c_0_130])).
% 0.22/0.35  thf(c_0_167, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.22/0.35  thf(c_0_168, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.22/0.35  thf(c_0_169, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.22/0.35  thf(c_0_170, plain, ((epred1_0)<=>![X415:$i]:(?[X416:$i]:((((![X417:$i]:(((in @ X417 @ X416)=>![X418:$i]:(((in @ X418 @ X417)=>(in @ X418 @ X415)))))&![X419:$i, X420:$i]:((((in @ X419 @ X415)&(in @ X420 @ X415))=>(![X421:$i]:(((in @ X421 @ X416)=>((in @ X419 @ X421)<=>(in @ X420 @ X421))))=>((X419)=(X420))))))&![X422:$i, X423:$i]:((((in @ X422 @ X416)&(in @ X423 @ X416))=>(![X424:$i]:(((in @ X424 @ X422)=>(in @ X424 @ X423)))|![X425:$i]:(((in @ X425 @ X423)=>(in @ X425 @ X422)))))))&![X426:$i]:(((![X427:$i]:(((in @ X427 @ X426)=>(in @ X427 @ X415)))&?[X428:$i]:((in @ X428 @ X426)))=>?[X429:$i, X430:$i]:(((((in @ X429 @ X416)&(in @ X430 @ X426))&~(?[X431:$i]:(((in @ X431 @ X429)&(in @ X431 @ X426)))))&![X432:$i]:(((in @ X432 @ X416)=>(![X433:$i]:(((in @ X433 @ X432)=>(in @ X433 @ X429)))|(in @ X430 @ X432)))))))))))), introduced(definition)).
% 0.22/0.35  thf(c_0_171, negated_conjecture, ~((![X386:$i, X387:$i]:((![X388:$i]:(((in @ X388 @ X386)<=>(in @ X388 @ X387)))=>((X386)=(X387))))=>(![X389:$i]:(~(in @ X389 @ emptyset))=>(![X390:$i, X391:$i, X392:$i]:(((in @ X392 @ (setadjoin @ X390 @ X391))<=>(((X392)=(X390))|(in @ X392 @ X391))))=>(![X393:$i, X394:$i]:(((in @ X394 @ (powerset @ X393))<=>![X395:$i]:(((in @ X395 @ X394)=>(in @ X395 @ X393)))))=>(![X396:$i, X397:$i]:(((in @ X397 @ (setunion @ X396))<=>?[X398:$i]:(((in @ X397 @ X398)&(in @ X398 @ X396)))))=>((in @ emptyset @ omega)=>(![X399:$i]:(((in @ X399 @ omega)=>(in @ (setadjoin @ X399 @ X399) @ omega)))=>(![X400:$i]:((((in @ emptyset @ X400)&![X401:$i]:((((in @ X401 @ omega)&(in @ X401 @ X400))=>(in @ (setadjoin @ X401 @ X401) @ X400))))=>![X402:$i]:(((in @ X402 @ omega)=>(in @ X402 @ X400)))))=>(![X403:$i > $i > $o, X404:$i]:((![X405:$i]:(((in @ X405 @ X404)=>?[X406:$i]:(((X403 @ X405 @ X406)&![X407:$i]:(((X403 @ X405 @ X407)=>((X406)=(X407))))))))=>?[X408:$i]:(![X409:$i]:(((in @ X409 @ X408)<=>?[X410:$i]:(((in @ X410 @ X404)&(X403 @ X410 @ X409))))))))=>(![X411:$i]:((?[X412:$i]:((in @ X412 @ X411))=>?[X413:$i]:(((in @ X413 @ X411)&~(?[X414:$i]:(((in @ X414 @ X413)&(in @ X414 @ X411))))))))=>((epred1_0)=>(![X434:$i > $o]:((?[X435:$i]:(((X434 @ X435)&![X436:$i]:(((X434 @ X436)=>((X435)=(X436))))))=>(X434 @ (descr @ (^[Z0:$i]:(X434 @ Z0))))))=>(![X437:$i, X438:$i > $o, X439:$i]:(((in @ X439 @ X437)=>((X438 @ X439)=>(in @ X439 @ (dsetconstr @ X437 @ X438)))))=>(![X440:$i, X441:$i > $o, X442:$i]:(((in @ X442 @ (dsetconstr @ X440 @ X441))=>(in @ X442 @ X440)))=>(![X443:$i, X444:$i > $o, X445:$i]:(((in @ X445 @ (dsetconstr @ X443 @ X444))=>(X444 @ X445)))=>(![X446:$i > $o]:((?[X447:$i]:(((X446 @ X447)&![X448:$i]:(((X446 @ X448)=>((X447)=(X448))))))=>?[X449:$i]:(((X446 @ X449)&![X450:$i]:(((X446 @ X450)=>((X449)=(X450))))))))=>(![X451:$o, X452:$i]:(((in @ X452 @ (prop2set @ ((X451))))=>(X451)))=>(![X453:$i]:(((in @ X453 @ emptyset)=>![X454:$o]:((X454))))=>(![X455:$i]:(((in @ X455 @ emptyset)=>~($true)))=>(![X456:$i]:(~(in @ X456 @ emptyset))=>(![X457:$i > $o]:((?[X458:$i]:(((X457 @ X458)&![X459:$i]:(((X457 @ X459)=>((X458)=(X459))))))=>?[X460:$i]:((X457 @ X460))))=>(![X461:$i, X462:$i]:((![X463:$i]:(((in @ X463 @ X461)=>(in @ X463 @ X462)))=>(![X464:$i]:(((in @ X464 @ X462)=>(in @ X464 @ X461)))=>((X461)=(X462)))))=>(![X465:$i]:((![X466:$i]:(~(in @ X466 @ X465))=>((X465)=(emptyset))))=>(![X467:$i]:((![X468:$i]:(~(in @ X468 @ X467))=>((X467)=(emptyset))))=>(![X469:$i, X470:$i > $o, X471:$i]:(((in @ X471 @ X469)=>((in @ X471 @ (dsetconstr @ X469 @ X470))<=>(X470 @ X471))))=>(![X472:$i]:((((X472)!=(emptyset))=>?[X473:$i]:((in @ X473 @ X472))))=>(![X474:$i, X475:$i > $o, X476:$i]:(((in @ X476 @ X474)=>((X475 @ X476)=>((dsetconstr @ X474 @ X475)!=(emptyset)))))=>(![X477:$i]:((?[X478:$i]:((in @ X478 @ X477))=>((X477)!=(emptyset))))=>(![X479:$i, X480:$i]:((in @ X479 @ (setadjoin @ X479 @ X480)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X481:$i, X482:$i, X483:$i]:(((in @ X483 @ X482)=>(in @ X483 @ (setadjoin @ X481 @ X482))))=>(![X484:$i, X485:$i, X486:$i]:(((in @ X486 @ (setadjoin @ X484 @ X485))=>![X487:$o]:(((((X486)=(X484))=>(X487))=>(((in @ X486 @ X485)=>(X487))=>(X487))))))=>(![X488:$i, X489:$i, X490:$i]:(((in @ X490 @ (setadjoin @ X488 @ X489))=>(((X490)=(X488))|(in @ X490 @ X489))))=>(![X491:$i]:(((dsetconstr @ X491 @ (^[Z0:$i]:($true)))=(X491)))=>(![X492:$i, X493:$i]:((![X494:$i]:(((in @ X494 @ X493)=>(in @ X494 @ X492)))=>(in @ X493 @ (powerset @ X492))))=>(![X495:$i]:((in @ emptyset @ (powerset @ X495)))=>(![X496:$i]:((in @ emptyset @ (powerset @ X496)))=>(![X497:$i, X498:$i, X499:$i]:(((in @ X498 @ (powerset @ X497))=>((in @ X499 @ X498)=>(in @ X499 @ X497))))=>(![X500:$i, X501:$i, X502:$i]:(((in @ X501 @ X502)=>((in @ X502 @ X500)=>(in @ X501 @ (setunion @ X500)))))=>(![X503:$i, X504:$i]:(((in @ X504 @ (setunion @ X503))=>![X505:$o]:((![X506:$i]:(((in @ X504 @ X506)=>((in @ X506 @ X503)=>(X505))))=>(X505)))))=>(![X507:$i, X508:$i]:(((in @ X508 @ X507)=>(in @ X508 @ (powerset @ (setunion @ X507)))))=>(![X509:$i > $o]:((?[X510:$i]:(((X509 @ X510)&![X511:$i]:(((X509 @ X511)=>((X510)=(X511))))))=>?[X512:$i]:(![X513:$i]:(((X509 @ X513)<=>((X513)=(X512)))))))=>(![X514:$i]:((((X514)!=(emptyset))=>?[X515:$i]:(((in @ X515 @ X514)&$true))))=>(![X516:$i, X517:$i]:(((in @ X516 @ (setadjoin @ X517 @ emptyset))=>((X516)=(X517))))=>(![X518:$i, X519:$i]:((((X518)!=(X519))=>~(in @ X519 @ (setadjoin @ X518 @ emptyset))))=>(![X520:$i, X521:$i]:((((X520)=(X521))=>(in @ X520 @ (setadjoin @ X521 @ emptyset))))=>(![X522:$i, X523:$i]:(((in @ X522 @ (setadjoin @ X523 @ emptyset))=>(in @ X523 @ (setadjoin @ X522 @ emptyset))))=>(![X524:$i, X525:$i, X526:$i]:(((in @ X526 @ (setadjoin @ X524 @ (setadjoin @ X525 @ emptyset)))=>(((X526)=(X524))|((X526)=(X525)))))=>(![X527:$i, X528:$i]:((in @ X527 @ (setadjoin @ X527 @ (setadjoin @ X528 @ emptyset))))=>(![X529:$i, X530:$i]:((in @ X530 @ (setadjoin @ X529 @ (setadjoin @ X530 @ emptyset))))=>(![X531:$i, X532:$i > $o]:((?[X533:$i]:(((in @ X533 @ X531)&(X532 @ X533)))=>(((dsetconstr @ X531 @ X532)=(emptyset))=>~($true))))=>(![X534:$i > $o, X535:$i]:(((in @ X535 @ emptyset)=>(X534 @ X535)))=>(![X536:$i, X537:$i > $o]:((~(![X538:$i]:(((in @ X538 @ X536)=>(X537 @ X538))))=>?[X539:$i]:(((in @ X539 @ X536)&~((X537 @ X539))))))=>(![X540:$i, X541:$i > $o]:((![X542:$i]:(((in @ X542 @ X540)=>~((X541 @ X542))))=>~(?[X543:$i]:(((in @ X543 @ X540)&(X541 @ X543))))))=>(![X544:$i, X545:$i > $o]:((~(?[X546:$i]:(((in @ X546 @ X544)&(X545 @ X546))))=>![X547:$i]:(((in @ X547 @ X544)=>~((X545 @ X547))))))=>(![X548:$i, X549:$i > $o]:((?[X550:$i]:(((in @ X550 @ X548)&~((X549 @ X550))))=>~(![X551:$i]:(((in @ X551 @ X548)=>(X549 @ X551))))))=>(![X552:$o]:(((X552)=>(in @ emptyset @ (prop2set @ ((X552))))))=>(![X553:$o]:(((X553)=>(set2prop @ (prop2set @ ((X553))))))=>(![X554:$i, X555:$i > $o]:((~(?[X556:$i]:(((in @ X556 @ X554)&(X555 @ X556))))=>![X557:$i]:(((in @ X557 @ X554)=>~((X555 @ X557))))))=>(![X558:$i, X559:$i > $o]:((~(![X560:$i]:(((in @ X560 @ X558)=>(X559 @ X560))))=>?[X561:$i]:(((in @ X561 @ X558)&~((X559 @ X561))))))=>(![X562:$i > $o]:((?[X563:$i]:(((X562 @ X563)&![X564:$i]:(((X562 @ X564)=>((X563)=(X564))))))=>?[X565:$i]:(((X562 @ X565)&![X566:$i]:(((X562 @ X566)=>((X565)=(X566))))))))=>(![X567:$i > $o]:((?[X568:$i]:((X567 @ X568))=>(![X569:$i, X570:$i]:(((X567 @ X569)=>((X567 @ X570)=>((X569)=(X570)))))=>?[X571:$i]:(((X567 @ X571)&![X572:$i]:(((X567 @ X572)=>((X571)=(X572)))))))))=>(![X573:$i > $o]:((?[X574:$i]:(![X575:$i]:(((X573 @ X575)<=>((X575)=(X574)))))=>?[X576:$i]:(((X573 @ X576)&![X577:$i]:(((X573 @ X577)=>((X576)=(X577))))))))=>(![X578:$i, X579:$i]:((((X578)=(X579))=>![X580:$i, X581:$i]:((((X580)=(X581))=>((in @ X580 @ X578)=>(in @ X581 @ X579))))))=>(![X582:$i, X583:$i]:((((X582)=(X583))=>![X584:$i, X585:$i]:((((X584)=(X585))=>((in @ X584 @ X582)<=>(in @ X585 @ X583))))))=>(![X586:$i > $o]:((?[X587:$i]:(((X586 @ X587)&![X588:$i]:(((X586 @ X588)=>((X587)=(X588))))))=>![X589:$i, X590:$i]:(((X586 @ X589)=>((X586 @ X590)=>((X589)=(X590)))))))=>(![X591:$i > $o, X592:$i > $o]:((![X593:$i, X594:$i]:((((X593)=(X594))=>((X591 @ X593)<=>(X592 @ X594))))=>(?[X595:$i]:(((X591 @ X595)&![X596:$i]:(((X591 @ X596)=>((X595)=(X596))))))<=>?[X597:$i]:(((X592 @ X597)&![X598:$i]:(((X592 @ X598)=>((X597)=(X598)))))))))=>(((emptyset)=(emptyset))=>(![X599:$i, X600:$i]:((((X599)=(X600))=>![X601:$i, X602:$i]:((((X601)=(X602))=>((setadjoin @ X599 @ X601)=(setadjoin @ X600 @ X602))))))=>(![X603:$i, X604:$i]:((((X603)=(X604))=>((powerset @ X603)=(powerset @ X604))))=>(![X605:$i, X606:$i]:((((X605)=(X606))=>((setunion @ X605)=(setunion @ X606))))=>(((omega)=(omega))=>(![X607:$i > $o]:((?[X608:$i]:(((X607 @ X608)&![X609:$i]:(((X607 @ X609)=>((X608)=(X609))))))=>![X610:$i, X611:$i]:(((X607 @ X610)=>((X607 @ X611)=>((X610)=(X611)))))))=>(![X612:$i > $o, X613:$i > $o]:((![X614:$i, X615:$i]:((((X614)=(X615))=>((X612 @ X614)<=>(X613 @ X615))))=>(?[X616:$i]:(((X612 @ X616)&![X617:$i]:(((X612 @ X617)=>((X616)=(X617))))))=>(?[X618:$i]:(((X613 @ X618)&![X619:$i]:(((X613 @ X619)=>((X618)=(X619))))))=>((descr @ X612)=(descr @ X613))))))=>(![X620:$i, X621:$i]:((((X620)=(X621))=>![X622:$i > $o, X623:$i > $o]:((![X624:$i]:(((in @ X624 @ X620)=>![X625:$i]:(((in @ X625 @ X621)=>(((X624)=(X625))=>((X622 @ X624)<=>(X623 @ X625)))))))=>((dsetconstr @ X620 @ X622)=(dsetconstr @ X621 @ X623))))))=>(![X626:$i, X627:$i]:((![X628:$i]:(((in @ X628 @ X626)=>(in @ X628 @ X627)))=>(subset @ X626 @ X627)))=>(![X629:$i, X630:$i]:((((X629)=(X630))=>(subset @ X630 @ X629)))=>(![X631:$i, X632:$i]:((((X631)=(X632))=>(subset @ X631 @ X632)))=>(![X633:$i, X634:$i]:((![X635:$i]:(((in @ X635 @ X633)=>(in @ X635 @ X634)))=>(subset @ X633 @ X634)))=>(![X636:$i]:((subset @ emptyset @ X636))=>(![X637:$i, X638:$i, X639:$i]:(((subset @ X637 @ X638)=>((in @ X639 @ X637)=>(in @ X639 @ X638))))=>(![X640:$i, X641:$i, X642:$i]:(((subset @ X640 @ X641)=>(~(in @ X642 @ X641)=>~(in @ X642 @ X640))))=>(![X643:$i, X644:$i, X645:$i]:(((in @ X645 @ X643)=>(~(in @ X645 @ X644)=>~(subset @ X643 @ X644))))=>(![X646:$i, X647:$i]:((~(subset @ X646 @ X647)=>((X646)!=(X647))))=>(![X648:$i, X649:$i, X650:$i]:(((in @ X650 @ X648)=>(~(in @ X650 @ X649)=>((X648)!=(X649)))))=>(![X651:$i]:((subset @ X651 @ X651))=>(![X652:$i, X653:$i, X654:$i]:(((subset @ X652 @ X653)=>((subset @ X653 @ X654)=>(subset @ X652 @ X654))))=>(![X655:$i, X656:$i]:((subset @ X656 @ (setadjoin @ X655 @ X656)))=>(![X657:$i, X658:$i, X659:$i]:(((subset @ X657 @ X659)=>(subset @ X657 @ (setadjoin @ X658 @ X659))))=>(![X660:$i, X661:$i]:(((subset @ X660 @ X661)=>(in @ X660 @ (powerset @ X661))))=>(![X662:$i, X663:$i]:(((subset @ X662 @ X663)=>((subset @ X663 @ X662)=>((X662)=(X663)))))=>(![X664:$i]:(((subset @ X664 @ emptyset)=>((X664)=(emptyset))))=>(![X665:$i, X666:$i]:(((subset @ X666 @ X665)=>(in @ X666 @ (powerset @ X665))))=>(![X667:$i, X668:$i]:(((in @ X668 @ (powerset @ X667))=>(subset @ X668 @ X667)))=>(![X669:$i]:((in @ X669 @ (powerset @ X669)))=>(![X670:$i, X671:$i]:(((subset @ X670 @ X671)=>(subset @ (powerset @ X670) @ (powerset @ X671))))=>(![X672:$i, X673:$i > $o]:((in @ (dsetconstr @ X672 @ X673) @ (powerset @ X672)))=>(![X674:$i, X675:$i > $o]:((subset @ (dsetconstr @ X674 @ X675) @ X674))=>(![X676:$i, X677:$i, X678:$i]:(((in @ X678 @ X676)=>(in @ X678 @ (binunion @ X676 @ X677))))=>(![X679:$i, X680:$i]:((in @ X680 @ (setadjoin @ X679 @ (setadjoin @ X680 @ emptyset))))=>(![X681:$i, X682:$i, X683:$i]:(((in @ X683 @ X682)=>(in @ X683 @ (binunion @ X681 @ X682))))=>(![X684:$i, X685:$i, X686:$i, X687:$o]:(((in @ X686 @ (binunion @ X684 @ X685))=>(((in @ X686 @ X684)=>(X687))=>(((in @ X686 @ X685)=>(X687))=>(X687)))))=>(![X688:$i, X689:$i, X690:$i]:(((in @ X690 @ (binunion @ X688 @ X689))=>((in @ X690 @ X688)|(in @ X690 @ X689))))=>(![X691:$i, X692:$i]:((subset @ X691 @ (binunion @ X691 @ X692)))=>(![X693:$i, X694:$i]:((subset @ X694 @ (binunion @ X693 @ X694)))=>(![X695:$i, X696:$i, X697:$i]:(((in @ X697 @ X695)=>((in @ X697 @ X696)=>(in @ X697 @ (binintersect @ X695 @ X696)))))=>(![X698:$i, X699:$i, X700:$i]:(((subset @ X700 @ X698)=>((subset @ X700 @ X699)=>(subset @ X700 @ (binintersect @ X698 @ X699)))))=>(![X701:$i, X702:$i, X703:$i]:(((in @ X703 @ (binintersect @ X701 @ X702))=>(in @ X703 @ X701)))=>(![X704:$i, X705:$i]:((subset @ (binintersect @ X704 @ X705) @ X704))=>(![X706:$i, X707:$i]:(((subset @ X706 @ X707)=>((binintersect @ X706 @ X707)=(X706))))=>(![X708:$i, X709:$i]:((((binintersect @ X708 @ X709)=(X709))=>(subset @ X709 @ X708)))=>(![X710:$i, X711:$i, X712:$i]:(((in @ X712 @ (binintersect @ X710 @ X711))=>(in @ X712 @ X711)))=>(![X713:$i, X714:$i]:((~(?[X715:$i]:(((in @ X715 @ X713)&(in @ X715 @ X714))))=>((binintersect @ X713 @ X714)=(emptyset))))=>(![X716:$i, X717:$i]:((subset @ (binintersect @ X716 @ X717) @ X717))=>(![X718:$i, X719:$i]:(((subset @ X719 @ X718)=>((binintersect @ X718 @ X719)=(X719))))=>(![X720:$i, X721:$i]:((((binintersect @ X720 @ X721)=(X720))=>(subset @ X720 @ X721)))=>(![X722:$i, X723:$i, X724:$i]:(((binintersect @ X722 @ (binunion @ X723 @ X724))=(binunion @ (binintersect @ X722 @ X723) @ (binintersect @ X722 @ X724))))=>(![X725:$i, X726:$i, X727:$i]:(((in @ X727 @ X725)=>(~(in @ X727 @ X726)=>(in @ X727 @ (setminus @ X725 @ X726)))))=>(![X728:$i, X729:$i, X730:$i]:(((in @ X730 @ (setminus @ X728 @ X729))=>(in @ X730 @ X728)))=>(![X731:$i, X732:$i, X733:$i]:(((in @ X733 @ (setminus @ X731 @ X732))=>~(in @ X733 @ X732)))=>(![X734:$i, X735:$i]:(((subset @ X734 @ X735)=>((setminus @ X734 @ X735)=(emptyset))))=>(![X736:$i, X737:$i, X738:$i]:((~(in @ X738 @ (setminus @ X736 @ X737))=>((in @ X738 @ X736)=>(in @ X738 @ X737))))=>(![X739:$i, X740:$i, X741:$i]:((~(in @ X741 @ (setminus @ X739 @ X740))=>(~(in @ X741 @ X740)=>~(in @ X741 @ X739))))=>(![X742:$i, X743:$i, X744:$i]:((~(in @ X744 @ X742)=>~(in @ X744 @ (setminus @ X742 @ X743))))=>(![X745:$i, X746:$i, X747:$i]:(((in @ X747 @ X746)=>~(in @ X747 @ (setminus @ X745 @ X746))))=>(![X748:$i, X749:$i]:((subset @ (setminus @ X748 @ X749) @ X748))=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ 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)],[c_0_144, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_145]), foundationAx]), wellorderingAx]), c_0_146]), c_0_147]), c_0_148]), c_0_149]), c_0_150]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_151]), setext]), emptyI]), noeltsimpempty]), c_0_152]), c_0_153]), c_0_154]), c_0_155]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_156]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_157]), c_0_158]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_159]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_160]), c_0_161]), c_0_162]), inCongP]), in__Cong]), c_0_163]), c_0_164]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_165]), c_0_166]), c_0_167]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_168]), c_0_169]), 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])])]), c_0_170])).
% 0.22/0.35  thf(c_0_172, negated_conjecture, ![X750:$i, X751:$i, X753:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$i, X760:$i, X761:$i, X763:$i, X764:$i, X766:$i, X767:$i, X768:$i, X769:$i, X770:$i, X772:$i, X773:$i > $i > $o, X774:$i, X776:$i, X779:$i, X781:$i, X782:$i, X783:$i, X784:$i, X786:$i, X787:$i > $o, X788:$i, X790:$i, X791:$i > $o, X792:$i, X793:$i, X794:$i > $o, X795:$i, X796:$i, X797:$i > $o, X798:$i, X799:$i > $o, X800:$i, X803:$i, X804:$o, X805:$i, X806:$i, X807:$o, X808:$i, X809:$i, X810:$i > $o, X811:$i, X814:$i, X815:$i, X818:$i, X820:$i, X822:$i, X823:$i > $o, X824:$i, X825:$i, X827:$i, X828:$i > $o, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$o, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$o, X860:$i, X861:$i, X862:$i > $o, X863:$i, X866:$i, X867:$i, X868:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i > $o, X887:$i, X888:$i > $o, X889:$i, X890:$i, X891:$i > $o, X892:$i, X894:$i, X895:$i > $o, X897:$i, X898:$i, X899:$i > $o, X901:$i, X902:$i, X903:$i > $o, X904:$i, X906:$o, X907:$o, X908:$i, X909:$i > $o, X911:$i, X912:$i, X913:$i > $o, X914:$i, X916:$i > $o, X917:$i, X920:$i, X921:$i > $o, X922:$i, X926:$i, X927:$i > $o, X928:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i > $o, X941:$i, X943:$i, X944:$i, X945:$i > $o, X946:$i > $o, X949:$i, X952:$i, X953:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i > $o, X966:$i, X968:$i, X969:$i, X970:$i > $o, X971:$i > $o, X974:$i, X976:$i, X978:$i, X979:$i, X980:$i > $o, X981:$i > $o, X984:$i, X985:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$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 > $o, X1032:$i, X1033:$i > $o, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$o, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i, X1072:$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:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i]:((((~(in @ (esk1_2 @ X750 @ X751) @ X750)|~(in @ (esk1_2 @ X750 @ X751) @ X751)|((X750)=(X751)))&((in @ (esk1_2 @ X750 @ X751) @ X750)|(in @ (esk1_2 @ X750 @ X751) @ X751)|((X750)=(X751))))&(~(in @ X753 @ emptyset)&(((~(in @ X756 @ (setadjoin @ X754 @ X755))|(((X756)=(X754))|(in @ X756 @ X755)))&((((X756)!=(X754))|(in @ X756 @ (setadjoin @ X754 @ X755)))&(~(in @ X756 @ X755)|(in @ X756 @ (setadjoin @ X754 @ X755)))))&(((~(in @ X758 @ (powerset @ X757))|(~(in @ X759 @ X758)|(in @ X759 @ X757)))&(((in @ (esk2_2 @ X760 @ X761) @ X761)|(in @ X761 @ (powerset @ X760)))&(~(in @ (esk2_2 @ X760 @ X761) @ X760)|(in @ X761 @ (powerset @ X760)))))&(((((in @ X764 @ (esk3_2 @ X763 @ X764))|~(in @ X764 @ (setunion @ X763)))&((in @ (esk3_2 @ X763 @ X764) @ X763)|~(in @ X764 @ (setunion @ X763))))&(~(in @ X767 @ X768)|~(in @ X768 @ X766)|(in @ X767 @ (setunion @ X766))))&((in @ emptyset @ omega)&((~(in @ X769 @ omega)|(in @ (setadjoin @ X769 @ X769) @ omega))&(((((in @ (esk4_1 @ X770) @ omega)|~(in @ emptyset @ X770)|(~(in @ X772 @ omega)|(in @ X772 @ X770)))&((in @ (esk4_1 @ X770) @ X770)|~(in @ emptyset @ X770)|(~(in @ X772 @ omega)|(in @ X772 @ X770))))&(~(in @ (setadjoin @ (esk4_1 @ X770) @ (esk4_1 @ X770)) @ X770)|~(in @ emptyset @ X770)|(~(in @ X772 @ omega)|(in @ X772 @ X770))))&((((((in @ (esk8_3 @ X773 @ X774 @ X779) @ X774)|~(in @ X779 @ (esk7_2 @ X773 @ X774))|(in @ (esk5_2 @ X773 @ X774) @ X774))&((X773 @ (esk8_3 @ X773 @ X774 @ X779) @ X779)|~(in @ X779 @ (esk7_2 @ X773 @ X774))|(in @ (esk5_2 @ X773 @ X774) @ X774)))&(~(in @ X782 @ X774)|~(X773 @ X782 @ X781)|(in @ X781 @ (esk7_2 @ X773 @ X774))|(in @ (esk5_2 @ X773 @ X774) @ X774)))&(((((in @ (esk8_3 @ X773 @ X774 @ X779) @ X774)|~(in @ X779 @ (esk7_2 @ X773 @ X774))|((X773 @ (esk5_2 @ X773 @ X774) @ (esk6_3 @ X773 @ X774 @ X776))|~(X773 @ (esk5_2 @ X773 @ X774) @ X776)))&((X773 @ (esk8_3 @ X773 @ X774 @ X779) @ X779)|~(in @ X779 @ (esk7_2 @ X773 @ X774))|((X773 @ (esk5_2 @ X773 @ X774) @ (esk6_3 @ X773 @ X774 @ X776))|~(X773 @ (esk5_2 @ X773 @ X774) @ X776))))&(~(in @ X782 @ X774)|~(X773 @ X782 @ X781)|(in @ X781 @ (esk7_2 @ X773 @ X774))|((X773 @ (esk5_2 @ X773 @ X774) @ (esk6_3 @ X773 @ X774 @ X776))|~(X773 @ (esk5_2 @ X773 @ X774) @ X776))))&((((in @ (esk8_3 @ X773 @ X774 @ X779) @ X774)|~(in @ X779 @ (esk7_2 @ X773 @ X774))|(((X776)!=(esk6_3 @ X773 @ X774 @ X776))|~(X773 @ (esk5_2 @ X773 @ X774) @ X776)))&((X773 @ (esk8_3 @ X773 @ X774 @ X779) @ X779)|~(in @ X779 @ (esk7_2 @ X773 @ X774))|(((X776)!=(esk6_3 @ X773 @ X774 @ X776))|~(X773 @ (esk5_2 @ X773 @ X774) @ X776))))&(~(in @ X782 @ X774)|~(X773 @ X782 @ X781)|(in @ X781 @ (esk7_2 @ X773 @ X774))|(((X776)!=(esk6_3 @ X773 @ X774 @ X776))|~(X773 @ (esk5_2 @ X773 @ X774) @ X776))))))&((((in @ (esk9_1 @ X783) @ X783)|~(in @ X784 @ X783))&(~(in @ X786 @ (esk9_1 @ X783))|~(in @ X786 @ X783)|~(in @ X784 @ X783)))&((epred1_0)&((((X787 @ (esk10_2 @ X787 @ X788))|~(X787 @ X788)|(X787 @ (descr @ X787)))&(((X788)!=(esk10_2 @ X787 @ X788))|~(X787 @ X788)|(X787 @ (descr @ X787))))&((~(in @ X792 @ X790)|(~(X791 @ X792)|(in @ X792 @ (dsetconstr @ X790 @ X791))))&((~(in @ X795 @ (dsetconstr @ X793 @ X794))|(in @ X795 @ X793))&((~(in @ X798 @ (dsetconstr @ X796 @ X797))|(X797 @ X798))&(((((X799 @ (esk12_1 @ X799))|((X799 @ (esk11_2 @ X799 @ X800))|~(X799 @ X800)))&(~(X799 @ X803)|((esk12_1 @ X799)=(X803))|((X799 @ (esk11_2 @ X799 @ X800))|~(X799 @ X800))))&(((X799 @ (esk12_1 @ X799))|(((X800)!=(esk11_2 @ X799 @ X800))|~(X799 @ X800)))&(~(X799 @ X803)|((esk12_1 @ X799)=(X803))|(((X800)!=(esk11_2 @ X799 @ X800))|~(X799 @ X800)))))&((~(in @ X805 @ (prop2set @ ((X804))))|(X804))&((~(in @ X806 @ emptyset)|(X807))&((~(in @ X808 @ emptyset)|~($true))&(~(in @ X809 @ emptyset)&((((X810 @ (esk13_2 @ X810 @ X811))|~(X810 @ X811)|(X810 @ (esk14_1 @ X810)))&(((X811)!=(esk13_2 @ X810 @ X811))|~(X810 @ X811)|(X810 @ (esk14_1 @ X810))))&(((((in @ (esk16_2 @ X814 @ X815) @ X815)|((X814)=(X815))|(in @ (esk15_2 @ X814 @ X815) @ X814))&(~(in @ (esk16_2 @ X814 @ X815) @ X814)|((X814)=(X815))|(in @ (esk15_2 @ X814 @ X815) @ X814)))&(((in @ (esk16_2 @ X814 @ X815) @ X815)|((X814)=(X815))|~(in @ (esk15_2 @ X814 @ X815) @ X815))&(~(in @ (esk16_2 @ X814 @ X815) @ X814)|((X814)=(X815))|~(in @ (esk15_2 @ X814 @ X815) @ X815))))&(((in @ (esk17_1 @ X818) @ X818)|((X818)=(emptyset)))&(((in @ (esk18_1 @ X820) @ X820)|((X820)=(emptyset)))&(((~(in @ X824 @ (dsetconstr @ X822 @ X823))|(X823 @ X824)|~(in @ X824 @ X822))&(~(X823 @ X824)|(in @ X824 @ (dsetconstr @ X822 @ X823))|~(in @ X824 @ X822)))&((((X825)=(emptyset))|(in @ (esk19_1 @ X825) @ X825))&((~(in @ X829 @ X827)|(~(X828 @ X829)|((dsetconstr @ X827 @ X828)!=(emptyset))))&((~(in @ X831 @ X830)|((X830)!=(emptyset)))&((in @ X832 @ (setadjoin @ X832 @ X833))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X836 @ X835)|(in @ X836 @ (setadjoin @ X834 @ X835)))&(((((in @ X839 @ X838)|(X840)|((X839)=(X837))|~(in @ X839 @ (setadjoin @ X837 @ X838)))&(~(X840)|(X840)|((X839)=(X837))|~(in @ X839 @ (setadjoin @ X837 @ X838))))&(((in @ X839 @ X838)|(X840)|~(X840)|~(in @ X839 @ (setadjoin @ X837 @ X838)))&(~(X840)|(X840)|~(X840)|~(in @ X839 @ (setadjoin @ X837 @ X838)))))&((~(in @ X843 @ (setadjoin @ X841 @ X842))|(((X843)=(X841))|(in @ X843 @ X842)))&(((dsetconstr @ X844 @ (^[Z0:$i]:($true)))=(X844))&((((in @ (esk20_2 @ X845 @ X846) @ X846)|(in @ X846 @ (powerset @ X845)))&(~(in @ (esk20_2 @ X845 @ X846) @ X845)|(in @ X846 @ (powerset @ X845))))&((in @ emptyset @ (powerset @ X848))&((in @ emptyset @ (powerset @ X849))&((~(in @ X851 @ (powerset @ X850))|(~(in @ X852 @ X851)|(in @ X852 @ X850)))&((~(in @ X854 @ X855)|(~(in @ X855 @ X853)|(in @ X854 @ (setunion @ X853))))&((((in @ X857 @ (esk21_3 @ X856 @ X857 @ X858))|(X858)|~(in @ X857 @ (setunion @ X856)))&(((in @ (esk21_3 @ X856 @ X857 @ X858) @ X856)|(X858)|~(in @ X857 @ (setunion @ X856)))&(~(X858)|(X858)|~(in @ X857 @ (setunion @ X856)))))&((~(in @ X861 @ X860)|(in @ X861 @ (powerset @ (setunion @ X860))))&((((~(X862 @ X866)|((X866)=(esk23_1 @ X862))|((X862 @ (esk22_2 @ X862 @ X863))|~(X862 @ X863)))&(((X867)!=(esk23_1 @ X862))|(X862 @ X867)|((X862 @ (esk22_2 @ X862 @ X863))|~(X862 @ X863))))&((~(X862 @ X866)|((X866)=(esk23_1 @ X862))|(((X863)!=(esk22_2 @ X862 @ X863))|~(X862 @ X863)))&(((X867)!=(esk23_1 @ X862))|(X862 @ X867)|(((X863)!=(esk22_2 @ X862 @ X863))|~(X862 @ X863)))))&((((in @ (esk24_1 @ X868) @ X868)|((X868)=(emptyset)))&(($true)|((X868)=(emptyset))))&((~(in @ X870 @ (setadjoin @ X871 @ emptyset))|((X870)=(X871)))&((((X872)=(X873))|~(in @ X873 @ (setadjoin @ X872 @ emptyset)))&((((X874)!=(X875))|(in @ X874 @ (setadjoin @ X875 @ emptyset)))&((~(in @ X876 @ (setadjoin @ X877 @ emptyset))|(in @ X877 @ (setadjoin @ X876 @ emptyset)))&((~(in @ X880 @ (setadjoin @ X878 @ (setadjoin @ X879 @ emptyset)))|(((X880)=(X878))|((X880)=(X879))))&((in @ X881 @ (setadjoin @ X881 @ (setadjoin @ X882 @ emptyset)))&((in @ X884 @ (setadjoin @ X883 @ (setadjoin @ X884 @ emptyset)))&((~(in @ X887 @ X885)|~(X886 @ X887)|(((dsetconstr @ X885 @ X886)!=(emptyset))|~($true)))&((~(in @ X889 @ emptyset)|(X888 @ X889))&((((in @ (esk25_2 @ X890 @ X891) @ X890)|(~(in @ X892 @ X890)|(X891 @ X892)))&(~(X891 @ (esk25_2 @ X890 @ X891))|(~(in @ X892 @ X890)|(X891 @ X892))))&((((in @ (esk26_2 @ X894 @ X895) @ X894)|(~(in @ X897 @ X894)|~(X895 @ X897)))&((X895 @ (esk26_2 @ X894 @ X895))|(~(in @ X897 @ X894)|~(X895 @ X897))))&((((in @ (esk27_2 @ X898 @ X899) @ X898)|(~(in @ X901 @ X898)|~(X899 @ X901)))&((X899 @ (esk27_2 @ X898 @ X899))|(~(in @ X901 @ X898)|~(X899 @ X901))))&((((in @ (esk28_2 @ X902 @ X903) @ X902)|(~(in @ X904 @ X902)|(X903 @ X904)))&(~(X903 @ (esk28_2 @ X902 @ X903))|(~(in @ X904 @ X902)|(X903 @ X904))))&((~(X906)|(in @ emptyset @ (prop2set @ ((X906)))))&((~(X907)|(set2prop @ (prop2set @ ((X907)))))&((((in @ (esk29_2 @ X908 @ X909) @ X908)|(~(in @ X911 @ X908)|~(X909 @ X911)))&((X909 @ (esk29_2 @ X908 @ X909))|(~(in @ X911 @ X908)|~(X909 @ X911))))&((((in @ (esk30_2 @ X912 @ X913) @ X912)|(~(in @ X914 @ X912)|(X913 @ X914)))&(~(X913 @ (esk30_2 @ X912 @ X913))|(~(in @ X914 @ X912)|(X913 @ X914))))&(((((X916 @ (esk32_1 @ X916))|((X916 @ (esk31_2 @ X916 @ X917))|~(X916 @ X917)))&(~(X916 @ X920)|((esk32_1 @ X916)=(X920))|((X916 @ (esk31_2 @ X916 @ X917))|~(X916 @ X917))))&(((X916 @ (esk32_1 @ X916))|(((X917)!=(esk31_2 @ X916 @ X917))|~(X916 @ X917)))&(~(X916 @ X920)|((esk32_1 @ X916)=(X920))|(((X917)!=(esk31_2 @ X916 @ X917))|~(X916 @ X917)))))&(((((X921 @ (esk35_1 @ X921))|(X921 @ (esk33_1 @ X921))|~(X921 @ X922))&(~(X921 @ X926)|((esk35_1 @ X921)=(X926))|(X921 @ (esk33_1 @ X921))|~(X921 @ X922)))&((((X921 @ (esk35_1 @ X921))|(X921 @ (esk34_1 @ X921))|~(X921 @ X922))&(~(X921 @ X926)|((esk35_1 @ X921)=(X926))|(X921 @ (esk34_1 @ X921))|~(X921 @ X922)))&(((X921 @ (esk35_1 @ X921))|((esk33_1 @ X921)!=(esk34_1 @ X921))|~(X921 @ X922))&(~(X921 @ 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X959)=(setadjoin @ X958 @ X960))))&((((X961)!=(X962))|((powerset @ X961)=(powerset @ X962)))&((((X963)!=(X964))|((setunion @ X963)=(setunion @ X964)))&(((omega)=(omega))&((((X965 @ (esk45_2 @ X965 @ X966))|~(X965 @ X966)|(~(X965 @ X968)|(~(X965 @ X969)|((X968)=(X969)))))&(((X966)!=(esk45_2 @ X965 @ X966))|~(X965 @ X966)|(~(X965 @ X968)|(~(X965 @ X969)|((X968)=(X969))))))&((((((X971 @ (esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|((X970 @ (esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|((esk46_2 @ X970 @ X971)=(esk47_2 @ X970 @ X971)))&(((X976)!=(esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|((X970 @ (esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|((esk46_2 @ X970 @ X971)=(esk47_2 @ X970 @ X971))))&(((X971 @ (esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|(((X974)!=(esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|((esk46_2 @ X970 @ X971)=(esk47_2 @ X970 @ X971)))&(((X976)!=(esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|(((X974)!=(esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|((esk46_2 @ X970 @ X971)=(esk47_2 @ X970 @ X971)))))&(((((X971 @ (esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|((X970 @ (esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|(~(X970 @ (esk46_2 @ X970 @ X971))|~(X971 @ (esk47_2 @ X970 @ X971))))&(((X976)!=(esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|((X970 @ (esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|(~(X970 @ (esk46_2 @ X970 @ X971))|~(X971 @ (esk47_2 @ X970 @ X971)))))&(((X971 @ (esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|(((X974)!=(esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|(~(X970 @ (esk46_2 @ X970 @ X971))|~(X971 @ (esk47_2 @ X970 @ X971))))&(((X976)!=(esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|(((X974)!=(esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|(~(X970 @ (esk46_2 @ X970 @ X971))|~(X971 @ (esk47_2 @ X970 @ X971))))))&((((X971 @ (esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|((X970 @ (esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|((X970 @ (esk46_2 @ X970 @ X971))|(X971 @ (esk47_2 @ X970 @ X971))))&(((X976)!=(esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|((X970 @ (esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|((X970 @ (esk46_2 @ X970 @ X971))|(X971 @ (esk47_2 @ X970 @ X971)))))&(((X971 @ (esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|(((X974)!=(esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|((X970 @ (esk46_2 @ X970 @ X971))|(X971 @ (esk47_2 @ X970 @ X971))))&(((X976)!=(esk49_3 @ X970 @ X971 @ X976))|~(X971 @ X976)|((descr @ X970)=(descr @ X971))|(((X974)!=(esk48_3 @ X970 @ X971 @ X974))|~(X970 @ X974))|((X970 @ (esk46_2 @ X970 @ X971))|(X971 @ (esk47_2 @ X970 @ X971))))))))&((((in @ (esk50_4 @ X978 @ X979 @ X980 @ X981) @ X978)|((dsetconstr @ X978 @ X980)=(dsetconstr @ X979 @ X981))|((X978)!=(X979)))&(((in @ (esk51_4 @ X978 @ X979 @ X980 @ X981) @ X979)|((dsetconstr @ X978 @ X980)=(dsetconstr @ X979 @ X981))|((X978)!=(X979)))&((((esk50_4 @ X978 @ X979 @ X980 @ X981)=(esk51_4 @ X978 @ X979 @ X980 @ X981))|((dsetconstr @ X978 @ X980)=(dsetconstr @ X979 @ X981))|((X978)!=(X979)))&((~(X980 @ (esk50_4 @ X978 @ X979 @ X980 @ X981))|~(X981 @ (esk51_4 @ X978 @ X979 @ X980 @ X981))|((dsetconstr @ X978 @ X980)=(dsetconstr @ X979 @ X981))|((X978)!=(X979)))&((X980 @ (esk50_4 @ X978 @ X979 @ X980 @ X981))|(X981 @ (esk51_4 @ X978 @ X979 @ X980 @ X981))|((dsetconstr @ X978 @ X980)=(dsetconstr @ X979 @ X981))|((X978)!=(X979)))))))&((((in @ (esk52_2 @ X984 @ X985) @ X984)|(subset @ X984 @ X985))&(~(in @ (esk52_2 @ X984 @ X985) @ X985)|(subset @ X984 @ X985)))&((((X987)!=(X988))|(subset @ X988 @ X987))&((((X989)!=(X990))|(subset @ X989 @ X990))&((((in @ (esk53_2 @ X991 @ X992) @ X991)|(subset @ X991 @ X992))&(~(in @ (esk53_2 @ X991 @ X992) @ X992)|(subset @ X991 @ X992)))&((subset @ emptyset @ X994)&((~(subset @ X995 @ X996)|(~(in @ X997 @ X995)|(in @ X997 @ X996)))&((~(subset @ X998 @ X999)|((in @ X1000 @ X999)|~(in @ X1000 @ X998)))&((~(in @ X1003 @ X1001)|((in @ X1003 @ X1002)|~(subset @ X1001 @ X1002)))&(((subset @ X1004 @ X1005)|((X1004)!=(X1005)))&((~(in @ X1008 @ X1006)|((in @ X1008 @ X1007)|((X1006)!=(X1007))))&((subset @ X1009 @ X1009)&((~(subset @ X1010 @ X1011)|(~(subset @ X1011 @ X1012)|(subset @ X1010 @ X1012)))&((subset @ X1014 @ (setadjoin @ X1013 @ X1014))&((~(subset @ X1015 @ X1017)|(subset @ X1015 @ (setadjoin @ X1016 @ X1017)))&((~(subset @ X1018 @ X1019)|(in @ X1018 @ (powerset @ X1019)))&((~(subset @ X1020 @ X1021)|(~(subset @ X1021 @ X1020)|((X1020)=(X1021))))&((~(subset @ X1022 @ emptyset)|((X1022)=(emptyset)))&((~(subset @ X1024 @ X1023)|(in @ X1024 @ (powerset @ X1023)))&((~(in @ X1026 @ (powerset @ X1025))|(subset @ X1026 @ X1025))&((in @ X1027 @ (powerset @ X1027))&((~(subset @ X1028 @ X1029)|(subset @ (powerset @ X1028) @ (powerset @ X1029)))&((in @ (dsetconstr @ X1030 @ X1031) @ (powerset @ X1030))&((subset @ (dsetconstr @ X1032 @ X1033) @ X1032)&((~(in @ X1036 @ X1034)|(in @ X1036 @ (binunion @ X1034 @ X1035)))&((in @ X1038 @ (setadjoin @ X1037 @ (setadjoin @ X1038 @ emptyset)))&((~(in @ X1041 @ X1040)|(in @ X1041 @ (binunion @ X1039 @ X1040)))&(((((in @ X1044 @ X1043)|(X1045)|(in @ X1044 @ X1042)|~(in @ X1044 @ (binunion @ X1042 @ X1043)))&(~(X1045)|(X1045)|(in @ X1044 @ X1042)|~(in @ X1044 @ (binunion @ X1042 @ X1043))))&(((in @ X1044 @ X1043)|(X1045)|~(X1045)|~(in @ X1044 @ (binunion @ X1042 @ X1043)))&(~(X1045)|(X1045)|~(X1045)|~(in @ X1044 @ (binunion @ X1042 @ X1043)))))&((~(in @ X1048 @ (binunion @ X1046 @ X1047))|((in @ X1048 @ X1046)|(in @ X1048 @ X1047)))&((subset @ X1049 @ (binunion @ X1049 @ X1050))&((subset @ X1052 @ (binunion @ X1051 @ X1052))&((~(in @ X1055 @ X1053)|(~(in @ X1055 @ X1054)|(in @ X1055 @ (binintersect @ X1053 @ X1054))))&((~(subset @ X1058 @ X1056)|(~(subset @ X1058 @ X1057)|(subset @ X1058 @ (binintersect @ X1056 @ X1057))))&((~(in @ X1061 @ (binintersect @ X1059 @ X1060))|(in @ X1061 @ X1059))&((subset @ (binintersect @ X1062 @ X1063) @ X1062)&((~(subset @ X1064 @ X1065)|((binintersect @ X1064 @ X1065)=(X1064)))&((((binintersect @ X1066 @ X1067)!=(X1067))|(subset @ X1067 @ X1066))&((~(in @ X1070 @ (binintersect @ X1068 @ X1069))|(in @ X1070 @ X1069))&((((in @ (esk54_2 @ X1071 @ X1072) @ X1071)|((binintersect @ X1071 @ X1072)=(emptyset)))&((in @ (esk54_2 @ X1071 @ X1072) @ X1072)|((binintersect @ X1071 @ X1072)=(emptyset))))&((subset @ (binintersect @ X1074 @ X1075) @ X1075)&((~(subset @ X1077 @ X1076)|((binintersect @ X1076 @ X1077)=(X1077)))&((((binintersect @ X1078 @ X1079)!=(X1078))|(subset @ X1078 @ X1079))&(((binintersect @ X1080 @ (binunion @ X1081 @ X1082))=(binunion @ (binintersect @ X1080 @ X1081) @ (binintersect @ X1080 @ X1082)))&((~(in @ X1085 @ X1083)|((in @ X1085 @ X1084)|(in @ X1085 @ (setminus @ X1083 @ X1084))))&((~(in @ X1088 @ (setminus @ X1086 @ X1087))|(in @ X1088 @ X1086))&((~(in @ X1091 @ (setminus @ X1089 @ X1090))|~(in @ X1091 @ X1090))&((~(subset @ X1092 @ X1093)|((setminus @ X1092 @ X1093)=(emptyset)))&(((in @ X1096 @ (setminus @ X1094 @ X1095))|(~(in @ X1096 @ X1094)|(in @ X1096 @ X1095)))&(((in @ X1099 @ (setminus @ X1097 @ X1098))|((in @ X1099 @ X1098)|~(in @ X1099 @ X1097)))&(((in @ X1102 @ X1100)|~(in @ X1102 @ (setminus @ X1100 @ X1101)))&((~(in @ X1105 @ X1104)|~(in @ X1105 @ (setminus @ X1103 @ X1104)))&((subset @ (setminus @ X1106 @ X1107) @ X1106)&(((setminus @ esk55_0 @ esk56_0)=(emptyset))&~(subset @ 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_171])])])])])])])).
% 0.22/0.35  thf(c_0_173, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setminus @ X3 @ X4))|(in @ X2 @ X4)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_172])).
% 0.22/0.35  thf(c_0_174, negated_conjecture, ((setminus @ esk55_0 @ esk56_0)=(emptyset)), inference(split_conjunct,[status(thm)],[c_0_172])).
% 0.22/0.35  thf(c_0_175, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_172])).
% 0.22/0.35  thf(c_0_176, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk53_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_172])).
% 0.22/0.35  thf(c_0_177, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk56_0)|~((in @ X2 @ esk55_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_174]), c_0_175])).
% 0.22/0.35  thf(c_0_178, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk56_0)|~((in @ (esk53_2 @ X2 @ esk56_0) @ esk55_0)))), inference(spm,[status(thm)],[c_0_176, c_0_177])).
% 0.22/0.35  thf(c_0_179, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_172])).
% 0.22/0.35  thf(c_0_180, negated_conjecture, ~((subset @ esk55_0 @ esk56_0)), inference(split_conjunct,[status(thm)],[c_0_172])).
% 0.22/0.35  thf(c_0_181, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178, c_0_179]), c_0_180]), ['proof']).
% 0.22/0.35  % SZS output end CNFRefutation
% 0.22/0.35  % Parsed axioms                        : 274
% 0.22/0.35  % Removed by relevancy pruning/SinE    : 0
% 0.22/0.35  % Initial clauses                      : 389
% 0.22/0.35  % Removed in clause preprocessing      : 163
% 0.22/0.35  % Initial clauses in saturation        : 226
% 0.22/0.35  % Processed clauses                    : 449
% 0.22/0.35  % ...of these trivial                  : 7
% 0.22/0.35  % ...subsumed                          : 219
% 0.22/0.35  % ...remaining for further processing  : 223
% 0.22/0.35  % Other redundant clauses eliminated   : 20
% 0.22/0.35  % Clauses deleted for lack of memory   : 0
% 0.22/0.35  % Backward-subsumed                    : 0
% 0.22/0.35  % Backward-rewritten                   : 4
% 0.22/0.35  % Generated clauses                    : 2707
% 0.22/0.35  % ...of the previous two non-redundant : 2182
% 0.22/0.35  % ...aggressively subsumed             : 0
% 0.22/0.35  % Contextual simplify-reflections      : 0
% 0.22/0.35  % Paramodulations                      : 2687
% 0.22/0.35  % Factorizations                       : 0
% 0.22/0.35  % NegExts                              : 0
% 0.22/0.35  % Equation resolutions                 : 20
% 0.22/0.35  % Disequality decompositions           : 0
% 0.22/0.35  % Total rewrite steps                  : 808
% 0.22/0.35  % ...of those cached                   : 744
% 0.22/0.35  % Propositional unsat checks           : 0
% 0.22/0.35  %    Propositional check models        : 0
% 0.22/0.35  %    Propositional check unsatisfiable : 0
% 0.22/0.35  %    Propositional clauses             : 0
% 0.22/0.35  %    Propositional clauses after purity: 0
% 0.22/0.35  %    Propositional unsat core size     : 0
% 0.22/0.35  %    Propositional preprocessing time  : 0.000
% 0.22/0.35  %    Propositional encoding time       : 0.000
% 0.22/0.35  %    Propositional solver time         : 0.000
% 0.22/0.35  %    Success case prop preproc time    : 0.000
% 0.22/0.35  %    Success case prop encoding time   : 0.000
% 0.22/0.35  %    Success case prop solver time     : 0.000
% 0.22/0.35  % Current number of processed clauses  : 212
% 0.22/0.35  %    Positive orientable unit clauses  : 63
% 0.22/0.35  %    Positive unorientable unit clauses: 0
% 0.22/0.35  %    Negative unit clauses             : 2
% 0.22/0.35  %    Non-unit-clauses                  : 147
% 0.22/0.35  % Current number of unprocessed clauses: 1943
% 0.22/0.35  % ...number of literals in the above   : 5473
% 0.22/0.35  % Current number of archived formulas  : 0
% 0.22/0.35  % Current number of archived clauses   : 4
% 0.22/0.35  % Clause-clause subsumption calls (NU) : 1583
% 0.22/0.35  % Rec. Clause-clause subsumption calls : 1379
% 0.22/0.35  % Non-unit clause-clause subsumptions  : 156
% 0.22/0.35  % Unit Clause-clause subsumption calls : 14
% 0.22/0.35  % Rewrite failures with RHS unbound    : 0
% 0.22/0.35  % BW rewrite match attempts            : 36
% 0.22/0.35  % BW rewrite match successes           : 3
% 0.22/0.35  % Condensation attempts                : 0
% 0.22/0.35  % Condensation successes               : 0
% 0.22/0.35  % Termbank termtop insertions          : 63605
% 0.22/0.35  % Search garbage collected termcells   : 12471
% 0.22/0.35  
% 0.22/0.35  % -------------------------------------------------
% 0.22/0.35  % User time                : 0.047 s
% 0.22/0.35  % System time              : 0.009 s
% 0.22/0.35  % Total time               : 0.056 s
% 0.22/0.35  % Maximum resident set size: 6464 pages
% 0.22/0.35  
% 0.22/0.35  % -------------------------------------------------
% 0.22/0.35  % User time                : 0.053 s
% 0.22/0.35  % System time              : 0.015 s
% 0.22/0.35  % Total time               : 0.068 s
% 0.22/0.35  % Maximum resident set size: 4864 pages
% 0.22/0.35  % E exiting
%------------------------------------------------------------------------------