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

%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SEU575^1 : 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 : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:26:46 AM UTC 2026

% Result   : Theorem 0.22s 0.32s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU575^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18  % Computer : n016.cluster.edu
% 0.11/0.18  % Model    : x86_64 x86_64
% 0.11/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18  % Memory   : 8046.5625MB
% 0.11/0.18  % OS       : Linux 6.8.0-71-generic
% 0.11/0.18  % CPULimit : 300
% 0.11/0.18  % WCLimit  : 300
% 0.11/0.18  % DateTime : Tue Sep 29 13:56:20 UTC 2026
% 0.11/0.18  % CPUTime  : 
% 0.11/0.18  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23  Running higher-order theorem proving
% 0.11/0.26  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.ktil3ZaW2f/E---3.1_390331.p
% 0.22/0.32  % Version: 3.5.1-ho
% 0.22/0.32  % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.22/0.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.32  % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.22/0.32  % Starting ehoh_best3_rw with 300s (1) cores
% 0.22/0.32  % Starting almost_fo_3 with 300s (1) cores
% 0.22/0.32  % Starting new_ho_13 with 300s (1) cores
% 0.22/0.32  % new_ho_13 with pid 390381 completed with status 0
% 0.22/0.32  % Result found by new_ho_13
% 0.22/0.32  % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.22/0.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.32  % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.22/0.32  % Starting ehoh_best3_rw with 300s (1) cores
% 0.22/0.32  % Starting almost_fo_3 with 300s (1) cores
% 0.22/0.32  % Starting new_ho_13 with 300s (1) cores
% 0.22/0.32  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.32  % No SInE strategy applied
% 0.22/0.32  % Search class: HGHSM-FSLM31-DHFMMMBN
% 0.22/0.32  % partial match(1): HGHSM-FSLM31-SHFMMMBN
% 0.22/0.32  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.32  % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.32  % SubtermCWHack with pid 390390 completed with status 0
% 0.22/0.32  % Result found by SubtermCWHack
% 0.22/0.32  % Preprocessing class: HSMMSLSSLLLCHFA.
% 0.22/0.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.32  % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 0.22/0.32  % Starting ehoh_best3_rw with 300s (1) cores
% 0.22/0.32  % Starting almost_fo_3 with 300s (1) cores
% 0.22/0.32  % Starting new_ho_13 with 300s (1) cores
% 0.22/0.32  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.32  % No SInE strategy applied
% 0.22/0.32  % Search class: HGHSM-FSLM31-DHFMMMBN
% 0.22/0.32  % partial match(1): HGHSM-FSLM31-SHFMMMBN
% 0.22/0.32  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.32  % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.32  % Preprocessing time       : 0.007 s
% 0.22/0.32  
% 0.22/0.32  % Proof found!
% 0.22/0.32  % SZS status Theorem
% 0.22/0.32  % SZS output start CNFRefutation
% 0.22/0.32  thf(decl_23, type, in: $i > $i > $o).
% 0.22/0.32  thf(decl_24, type, exu: ($i > $o) > $o).
% 0.22/0.32  thf(decl_25, type, setextAx: $o).
% 0.22/0.32  thf(decl_26, type, emptyset: $i).
% 0.22/0.32  thf(decl_27, type, emptysetAx: $o).
% 0.22/0.32  thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.22/0.32  thf(decl_29, type, setadjoinAx: $o).
% 0.22/0.32  thf(decl_30, type, powerset: $i > $i).
% 0.22/0.32  thf(decl_31, type, powersetAx: $o).
% 0.22/0.32  thf(decl_32, type, setunion: $i > $i).
% 0.22/0.32  thf(decl_33, type, setunionAx: $o).
% 0.22/0.32  thf(decl_34, type, omega: $i).
% 0.22/0.32  thf(decl_35, type, omega0Ax: $o).
% 0.22/0.32  thf(decl_36, type, omegaSAx: $o).
% 0.22/0.32  thf(decl_37, type, omegaIndAx: $o).
% 0.22/0.32  thf(decl_38, type, replAx: $o).
% 0.22/0.32  thf(decl_39, type, foundationAx: $o).
% 0.22/0.32  thf(decl_40, type, wellorderingAx: $o).
% 0.22/0.32  thf(decl_41, type, descr: ($i > $o) > $i).
% 0.22/0.32  thf(decl_42, type, descrp: $o).
% 0.22/0.32  thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.32  thf(decl_44, type, dsetconstrI: $o).
% 0.22/0.32  thf(decl_45, type, dsetconstrEL: $o).
% 0.22/0.32  thf(decl_46, type, dsetconstrER: $o).
% 0.22/0.32  thf(decl_47, type, exuE1: $o).
% 0.22/0.32  thf(decl_48, type, prop2set: $o > $i).
% 0.22/0.32  thf(decl_49, type, prop2setE: $o).
% 0.22/0.32  thf(decl_50, type, emptysetE: $o).
% 0.22/0.32  thf(decl_51, type, emptysetimpfalse: $o).
% 0.22/0.32  thf(decl_52, type, notinemptyset: $o).
% 0.22/0.32  thf(decl_53, type, exuE3e: $o).
% 0.22/0.32  thf(decl_54, type, setext: $o).
% 0.22/0.32  thf(decl_55, type, emptyI: $o).
% 0.22/0.32  thf(decl_56, type, noeltsimpempty: $o).
% 0.22/0.32  thf(decl_57, type, setbeta: $o).
% 0.22/0.32  thf(decl_58, type, nonempty: $i > $o).
% 0.22/0.32  thf(decl_59, type, nonemptyE1: $o).
% 0.22/0.32  thf(decl_60, type, nonemptyI: $o).
% 0.22/0.32  thf(decl_61, type, nonemptyI1: $o).
% 0.22/0.32  thf(decl_62, type, setadjoinIL: $o).
% 0.22/0.32  thf(decl_63, type, emptyinunitempty: $o).
% 0.22/0.32  thf(decl_64, type, setadjoinIR: $o).
% 0.22/0.32  thf(decl_65, type, setadjoinE: $o).
% 0.22/0.32  thf(decl_66, type, setadjoinOr: $o).
% 0.22/0.32  thf(decl_67, type, setoftrueEq: $o).
% 0.22/0.32  thf(decl_68, type, powersetI: $o).
% 0.22/0.32  thf(decl_69, type, emptyinPowerset: $o).
% 0.22/0.32  thf(decl_70, type, emptyInPowerset: $o).
% 0.22/0.32  thf(decl_71, type, powersetE: $o).
% 0.22/0.32  thf(decl_72, type, setunionI: $o).
% 0.22/0.32  thf(decl_73, type, setunionE: $o).
% 0.22/0.32  thf(decl_74, type, subPowSU: $o).
% 0.22/0.32  thf(decl_75, type, exuE2: $o).
% 0.22/0.32  thf(decl_76, type, nonemptyImpWitness: $o).
% 0.22/0.32  thf(decl_77, type, uniqinunit: $o).
% 0.22/0.32  thf(decl_78, type, notinsingleton: $o).
% 0.22/0.32  thf(decl_79, type, eqinunit: $o).
% 0.22/0.32  thf(decl_80, type, singletonsswitch: $o).
% 0.22/0.32  thf(decl_81, type, upairsetE: $o).
% 0.22/0.32  thf(decl_82, type, upairsetIL: $o).
% 0.22/0.32  thf(decl_83, type, upairsetIR: $o).
% 0.22/0.32  thf(decl_84, type, emptyE1: $o).
% 0.22/0.32  thf(decl_85, type, vacuousDall: $o).
% 0.22/0.32  thf(decl_86, type, quantDeMorgan1: $o).
% 0.22/0.32  thf(decl_87, type, quantDeMorgan2: $o).
% 0.22/0.32  thf(decl_88, type, quantDeMorgan3: $o).
% 0.22/0.32  thf(decl_89, type, quantDeMorgan4: $o).
% 0.22/0.32  thf(decl_90, type, prop2setI: $o).
% 0.22/0.32  thf(decl_91, type, set2prop: $i > $o).
% 0.22/0.32  thf(decl_92, type, prop2set2propI: $o).
% 0.22/0.32  thf(decl_93, type, notdexE: $o).
% 0.22/0.32  thf(decl_94, type, notdallE: $o).
% 0.22/0.32  thf(decl_95, type, exuI1: $o).
% 0.22/0.32  thf(decl_96, type, exuI3: $o).
% 0.22/0.32  thf(decl_97, type, exuI2: $o).
% 0.22/0.32  thf(decl_98, type, inCongP: $o).
% 0.22/0.32  thf(decl_99, type, in__Cong: $o).
% 0.22/0.32  thf(decl_100, type, exuE3u: $o).
% 0.22/0.32  thf(decl_101, type, exu__Cong: $o).
% 0.22/0.32  thf(decl_102, type, emptyset__Cong: $o).
% 0.22/0.32  thf(decl_103, type, setadjoin__Cong: $o).
% 0.22/0.32  thf(decl_104, type, powerset__Cong: $o).
% 0.22/0.32  thf(decl_105, type, setunion__Cong: $o).
% 0.22/0.32  thf(decl_106, type, omega__Cong: $o).
% 0.22/0.32  thf(decl_107, type, exuEu: $o).
% 0.22/0.32  thf(decl_108, type, descr__Cong: $o).
% 0.22/0.32  thf(decl_109, type, dsetconstr__Cong: $o).
% 0.22/0.32  thf(decl_110, type, subset: $i > $i > $o).
% 0.22/0.32  thf(decl_113, type, subsetI1: $o).
% 0.22/0.32  thf(decl_114, type, eqimpsubset2: $o).
% 0.22/0.32  thf(decl_115, type, eqimpsubset1: $o).
% 0.22/0.32  thf(decl_116, type, subsetI2: $o).
% 0.22/0.32  thf(decl_117, type, emptysetsubset: $o).
% 0.22/0.32  thf(decl_118, type, subsetE: $o).
% 0.22/0.32  thf(decl_119, type, subsetE2: $o).
% 0.22/0.32  thf(decl_120, type, notsubsetI: $o).
% 0.22/0.32  thf(decl_121, type, notequalI1: $o).
% 0.22/0.32  thf(decl_122, type, notequalI2: $o).
% 0.22/0.32  thf(decl_123, type, subsetRefl: $o).
% 0.22/0.32  thf(decl_124, type, subsetTrans: $o).
% 0.22/0.32  thf(decl_125, type, setadjoinSub: $o).
% 0.22/0.32  thf(decl_126, type, setadjoinSub2: $o).
% 0.22/0.32  thf(decl_127, type, subset2powerset: $o).
% 0.22/0.32  thf(decl_128, type, setextsub: $o).
% 0.22/0.32  thf(decl_129, type, epred1_0: $o).
% 0.22/0.32  thf(decl_130, type, esk1_2: $i > $i > $i).
% 0.22/0.32  thf(decl_131, type, esk2_2: $i > $i > $i).
% 0.22/0.32  thf(decl_132, type, esk3_2: $i > $i > $i).
% 0.22/0.32  thf(decl_133, type, esk4_1: $i > $i).
% 0.22/0.32  thf(decl_134, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.22/0.32  thf(decl_135, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.32  thf(decl_136, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.22/0.32  thf(decl_137, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.32  thf(decl_138, type, esk9_1: $i > $i).
% 0.22/0.32  thf(decl_139, type, esk10_2: ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_140, type, esk11_2: ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_141, type, esk12_1: ($i > $o) > $i).
% 0.22/0.32  thf(decl_142, type, esk13_2: ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_143, type, esk14_1: ($i > $o) > $i).
% 0.22/0.32  thf(decl_144, type, esk15_2: $i > $i > $i).
% 0.22/0.32  thf(decl_145, type, esk16_2: $i > $i > $i).
% 0.22/0.32  thf(decl_146, type, esk17_1: $i > $i).
% 0.22/0.32  thf(decl_147, type, esk18_1: $i > $i).
% 0.22/0.32  thf(decl_148, type, esk19_1: $i > $i).
% 0.22/0.32  thf(decl_149, type, esk20_2: $i > $i > $i).
% 0.22/0.32  thf(decl_150, type, esk21_3: $i > $i > $o > $i).
% 0.22/0.32  thf(decl_151, type, esk22_2: ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_152, type, esk23_1: ($i > $o) > $i).
% 0.22/0.32  thf(decl_153, type, esk24_1: $i > $i).
% 0.22/0.32  thf(decl_154, type, esk25_2: $i > ($i > $o) > $i).
% 0.22/0.32  thf(decl_155, type, esk26_2: $i > ($i > $o) > $i).
% 0.22/0.32  thf(decl_156, type, esk27_2: $i > ($i > $o) > $i).
% 0.22/0.32  thf(decl_157, type, esk28_2: $i > ($i > $o) > $i).
% 0.22/0.32  thf(decl_158, type, esk29_2: $i > ($i > $o) > $i).
% 0.22/0.32  thf(decl_159, type, esk30_2: $i > ($i > $o) > $i).
% 0.22/0.32  thf(decl_160, type, esk31_2: ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_161, type, esk32_1: ($i > $o) > $i).
% 0.22/0.32  thf(decl_162, type, esk33_1: ($i > $o) > $i).
% 0.22/0.32  thf(decl_163, type, esk34_1: ($i > $o) > $i).
% 0.22/0.32  thf(decl_164, type, esk35_1: ($i > $o) > $i).
% 0.22/0.32  thf(decl_165, type, esk36_2: ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_166, type, esk37_1: ($i > $o) > $i).
% 0.22/0.32  thf(decl_167, type, esk38_2: ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_168, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.32  thf(decl_169, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.32  thf(decl_170, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_171, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.32  thf(decl_172, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_173, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.32  thf(decl_174, type, esk45_2: ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_175, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.32  thf(decl_176, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.32  thf(decl_177, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_178, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.22/0.32  thf(decl_179, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.22/0.32  thf(decl_180, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.22/0.32  thf(decl_181, type, esk52_2: $i > $i > $i).
% 0.22/0.32  thf(decl_182, type, esk53_2: $i > $i > $i).
% 0.22/0.32  thf(decl_183, type, esk54_0: $i).
% 0.22/0.32  thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', replAx)).
% 0.22/0.32  thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', exu)).
% 0.22/0.32  thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', descrp)).
% 0.22/0.32  thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', exuE1)).
% 0.22/0.32  thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', exuE3e)).
% 0.22/0.32  thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', nonempty)).
% 0.22/0.32  thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', nonemptyI)).
% 0.22/0.32  thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', exuE2)).
% 0.22/0.32  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.ktil3ZaW2f/E---3.1_390331.p', exuI1)).
% 0.22/0.32  thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', exuI3)).
% 0.22/0.32  thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', exuI2)).
% 0.22/0.32  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.ktil3ZaW2f/E---3.1_390331.p', exuE3u)).
% 0.22/0.32  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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', exu__Cong)).
% 0.22/0.32  thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', exuEu)).
% 0.22/0.32  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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', descr__Cong)).
% 0.22/0.32  thf(subsetemptysetimpeq, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', subsetemptysetimpeq)).
% 0.22/0.32  thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', dsetconstrI)).
% 0.22/0.32  thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', dsetconstrEL)).
% 0.22/0.32  thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', dsetconstrER)).
% 0.22/0.32  thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setbeta)).
% 0.22/0.32  thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', nonemptyE1)).
% 0.22/0.32  thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', nonemptyI1)).
% 0.22/0.32  thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setoftrueEq)).
% 0.22/0.32  thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', nonemptyImpWitness)).
% 0.22/0.32  thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.ktil3ZaW2f/E---3.1_390331.p', emptyE1)).
% 0.22/0.32  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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', dsetconstr__Cong)).
% 0.22/0.32  thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setextAx)).
% 0.22/0.32  thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', emptysetAx)).
% 0.22/0.32  thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setadjoinAx)).
% 0.22/0.32  thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', powersetAx)).
% 0.22/0.32  thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setunionAx)).
% 0.22/0.32  thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', omega0Ax)).
% 0.22/0.32  thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', omegaSAx)).
% 0.22/0.32  thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.ktil3ZaW2f/E---3.1_390331.p', omegaIndAx)).
% 0.22/0.32  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.ktil3ZaW2f/E---3.1_390331.p', foundationAx)).
% 0.22/0.32  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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', wellorderingAx)).
% 0.22/0.32  thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', prop2setE)).
% 0.22/0.32  thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', emptysetE)).
% 0.22/0.32  thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', emptysetimpfalse)).
% 0.22/0.32  thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', notinemptyset)).
% 0.22/0.32  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.ktil3ZaW2f/E---3.1_390331.p', setext)).
% 0.22/0.32  thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', emptyI)).
% 0.22/0.32  thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', noeltsimpempty)).
% 0.22/0.32  thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setadjoinIL)).
% 0.22/0.32  thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', emptyinunitempty)).
% 0.22/0.32  thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setadjoinIR)).
% 0.22/0.32  thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setadjoinE)).
% 0.22/0.32  thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setadjoinOr)).
% 0.22/0.32  thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', powersetI)).
% 0.22/0.32  thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', emptyinPowerset)).
% 0.22/0.32  thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', emptyInPowerset)).
% 0.22/0.32  thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', powersetE)).
% 0.22/0.32  thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setunionI)).
% 0.22/0.32  thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setunionE)).
% 0.22/0.32  thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', subPowSU)).
% 0.22/0.32  thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', uniqinunit)).
% 0.22/0.32  thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', notinsingleton)).
% 0.22/0.32  thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', eqinunit)).
% 0.22/0.32  thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', singletonsswitch)).
% 0.22/0.32  thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', upairsetE)).
% 0.22/0.32  thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', upairsetIL)).
% 0.22/0.32  thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', upairsetIR)).
% 0.22/0.32  thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', vacuousDall)).
% 0.22/0.32  thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', quantDeMorgan1)).
% 0.22/0.32  thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', quantDeMorgan2)).
% 0.22/0.32  thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', quantDeMorgan3)).
% 0.22/0.32  thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', quantDeMorgan4)).
% 0.22/0.32  thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', prop2setI)).
% 0.22/0.32  thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', prop2set2propI)).
% 0.22/0.32  thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', notdexE)).
% 0.22/0.32  thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', notdallE)).
% 0.22/0.32  thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', inCongP)).
% 0.22/0.32  thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', in__Cong)).
% 0.22/0.32  thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', emptyset__Cong)).
% 0.22/0.32  thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setadjoin__Cong)).
% 0.22/0.32  thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', powerset__Cong)).
% 0.22/0.32  thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setunion__Cong)).
% 0.22/0.32  thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', omega__Cong)).
% 0.22/0.32  thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', subsetI1)).
% 0.22/0.32  thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', eqimpsubset2)).
% 0.22/0.32  thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', eqimpsubset1)).
% 0.22/0.32  thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', subsetI2)).
% 0.22/0.32  thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', emptysetsubset)).
% 0.22/0.32  thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', subsetE)).
% 0.22/0.32  thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', subsetE2)).
% 0.22/0.32  thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', notsubsetI)).
% 0.22/0.32  thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', notequalI1)).
% 0.22/0.32  thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', notequalI2)).
% 0.22/0.32  thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', subsetRefl)).
% 0.22/0.32  thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', subsetTrans)).
% 0.22/0.32  thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setadjoinSub)).
% 0.22/0.32  thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setadjoinSub2)).
% 0.22/0.32  thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', subset2powerset)).
% 0.22/0.32  thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.ktil3ZaW2f/E---3.1_390331.p', setextsub)).
% 0.22/0.32  thf(c_0_94, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.22/0.32  thf(c_0_95, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.22/0.32  thf(c_0_96, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.22/0.32  thf(c_0_97, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.22/0.32  thf(c_0_98, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.22/0.32  thf(c_0_99, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.22/0.32  thf(c_0_100, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.22/0.32  thf(c_0_101, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.22/0.32  thf(c_0_102, 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])).
% 0.22/0.32  thf(c_0_103, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.22/0.32  thf(c_0_104, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.22/0.32  thf(c_0_105, 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])).
% 0.22/0.32  thf(c_0_106, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.22/0.32  thf(c_0_107, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.22/0.32  thf(c_0_108, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.22/0.32  thf(c_0_109, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[subsetemptysetimpeq])).
% 0.22/0.32  thf(c_0_110, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X270:$i]:(((((X6 @ X2 @ X270)))&(![X271:$i]:(((((X6 @ X2 @ X271)))=>(((X270)=(X271)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_94, c_0_95])).
% 0.22/0.32  thf(c_0_111, plain, ((descrp)=(![X1:$i > $o]:((((?[X272:$i]:(((((X1 @ X272)))&(![X273:$i]:(((((X1 @ X273)))=>(((X272)=(X273))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_95])).
% 0.22/0.32  thf(c_0_112, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.22/0.32  thf(c_0_113, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.22/0.32  thf(c_0_114, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.22/0.32  thf(c_0_115, plain, ((exuE1)=(![X1:$i > $o]:((((?[X274:$i]:(((((X1 @ X274)))&(![X275:$i]:(((((X1 @ X275)))=>(((X274)=(X275))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_95])).
% 0.22/0.32  thf(c_0_116, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X276:$i]:(((((X1 @ X276)))&(![X277:$i]:(((((X1 @ X277)))=>(((X276)=(X277))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_98, c_0_95])).
% 0.22/0.32  thf(c_0_117, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.22/0.32  thf(c_0_118, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_99])).
% 0.22/0.32  thf(c_0_119, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_100, c_0_99])).
% 0.22/0.32  thf(c_0_120, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_99])).
% 0.22/0.32  thf(c_0_121, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.22/0.32  thf(c_0_122, plain, ((exuE2)=(![X1:$i > $o]:((((?[X278:$i]:(((((X1 @ X278)))&(![X279:$i]:(((((X1 @ X279)))=>(((X278)=(X279))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_101, c_0_95])).
% 0.22/0.32  thf(c_0_123, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_99])).
% 0.22/0.32  thf(c_0_124, 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])).
% 0.22/0.32  thf(c_0_125, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X280:$i]:(((((X1 @ X280)))&(![X281:$i]:(((((X1 @ X281)))=>(((X280)=(X281)))))))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_95])).
% 0.22/0.32  thf(c_0_126, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X282:$i]:(((((X1 @ X282)))&(![X283:$i]:(((((X1 @ X283)))=>(((X282)=(X283)))))))))))))))), inference(apply_def,[status(thm)],[c_0_103, c_0_95])).
% 0.22/0.32  thf(c_0_127, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X284:$i]:(((((X1 @ X284)))&(![X285:$i]:(((((X1 @ X285)))=>(((X284)=(X285)))))))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_95])).
% 0.22/0.32  thf(c_0_128, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X286:$i]:(((((X1 @ X286)))&(![X287:$i]:(((((X1 @ X287)))=>(((X286)=(X287))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_105, c_0_95])).
% 0.22/0.32  thf(c_0_129, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X288:$i]:(((((X1 @ X288)))&(![X289:$i]:(((((X1 @ X289)))=>(((X288)=(X289))))))))))<=>((?[X290:$i]:(((((X17 @ X290)))&(![X291:$i]:(((((X17 @ X291)))=>(((X290)=(X291)))))))))))))))), inference(apply_def,[status(thm)],[c_0_106, c_0_95])).
% 0.22/0.32  thf(c_0_130, plain, ((exuEu)=(![X1:$i > $o]:((((?[X292:$i]:(((((X1 @ X292)))&(![X293:$i]:(((((X1 @ X293)))=>(((X292)=(X293))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_107, c_0_95])).
% 0.22/0.32  thf(c_0_131, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X294:$i]:(((((X1 @ X294)))&(![X295:$i]:(((((X1 @ X295)))=>(((X294)=(X295))))))))))=>((((?[X296:$i]:(((((X17 @ X296)))&(![X297:$i]:(((((X17 @ X297)))=>(((X296)=(X297))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_108, c_0_95])).
% 0.22/0.32  thf(c_0_132, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.22/0.32  thf(c_0_133, plain, ((epred1_0)<=>![X327:$i]:(?[X328:$i]:((((![X329:$i]:(((in @ X329 @ X328)=>![X330:$i]:(((in @ X330 @ X329)=>(in @ X330 @ X327)))))&![X331:$i, X332:$i]:((((in @ X331 @ X327)&(in @ X332 @ X327))=>(![X333:$i]:(((in @ X333 @ X328)=>((in @ X331 @ X333)<=>(in @ X332 @ X333))))=>((X331)=(X332))))))&![X334:$i, X335:$i]:((((in @ X334 @ X328)&(in @ X335 @ X328))=>(![X336:$i]:(((in @ X336 @ X334)=>(in @ X336 @ X335)))|![X337:$i]:(((in @ X337 @ X335)=>(in @ X337 @ X334)))))))&![X338:$i]:(((![X339:$i]:(((in @ X339 @ X338)=>(in @ X339 @ X327)))&?[X340:$i]:((in @ X340 @ X338)))=>?[X341:$i, X342:$i]:(((((in @ X341 @ X328)&(in @ X342 @ X338))&~(?[X343:$i]:(((in @ X343 @ X341)&(in @ X343 @ X338)))))&![X344:$i]:(((in @ X344 @ X328)=>(![X345:$i]:(((in @ X345 @ X344)=>(in @ X345 @ X341)))|(in @ X342 @ X344)))))))))))), introduced(definition)).
% 0.22/0.32  thf(c_0_134, negated_conjecture, ~((![X298:$i, X299:$i]:((![X300:$i]:(((in @ X300 @ X298)<=>(in @ X300 @ X299)))=>((X298)=(X299))))=>(![X301:$i]:(~(in @ X301 @ emptyset))=>(![X302:$i, X303:$i, X304:$i]:(((in @ X304 @ (setadjoin @ X302 @ X303))<=>(((X304)=(X302))|(in @ X304 @ X303))))=>(![X305:$i, X306:$i]:(((in @ X306 @ (powerset @ X305))<=>![X307:$i]:(((in @ X307 @ X306)=>(in @ X307 @ X305)))))=>(![X308:$i, X309:$i]:(((in @ X309 @ (setunion @ X308))<=>?[X310:$i]:(((in @ X309 @ X310)&(in @ X310 @ X308)))))=>((in @ emptyset @ omega)=>(![X311:$i]:(((in @ X311 @ omega)=>(in @ (setadjoin @ X311 @ X311) @ omega)))=>(![X312:$i]:((((in @ emptyset @ X312)&![X313:$i]:((((in @ X313 @ omega)&(in @ X313 @ X312))=>(in @ (setadjoin @ X313 @ X313) @ X312))))=>![X314:$i]:(((in @ X314 @ omega)=>(in @ X314 @ X312)))))=>(![X315:$i > $i > $o, X316:$i]:((![X317:$i]:(((in @ X317 @ X316)=>?[X318:$i]:(((X315 @ X317 @ X318)&![X319:$i]:(((X315 @ X317 @ X319)=>((X318)=(X319))))))))=>?[X320:$i]:(![X321:$i]:(((in @ X321 @ X320)<=>?[X322:$i]:(((in @ X322 @ X316)&(X315 @ X322 @ X321))))))))=>(![X323:$i]:((?[X324:$i]:((in @ X324 @ X323))=>?[X325:$i]:(((in @ X325 @ X323)&~(?[X326:$i]:(((in @ X326 @ X325)&(in @ X326 @ X323))))))))=>((epred1_0)=>(![X346:$i > $o]:((?[X347:$i]:(((X346 @ X347)&![X348:$i]:(((X346 @ X348)=>((X347)=(X348))))))=>(X346 @ (descr @ (^[Z0:$i]:(X346 @ Z0))))))=>(![X349:$i, X350:$i > $o, X351:$i]:(((in @ X351 @ X349)=>((X350 @ X351)=>(in @ X351 @ (dsetconstr @ X349 @ X350)))))=>(![X352:$i, X353:$i > $o, X354:$i]:(((in @ X354 @ (dsetconstr @ X352 @ X353))=>(in @ X354 @ X352)))=>(![X355:$i, X356:$i > $o, X357:$i]:(((in @ X357 @ (dsetconstr @ X355 @ X356))=>(X356 @ X357)))=>(![X358:$i > $o]:((?[X359:$i]:(((X358 @ X359)&![X360:$i]:(((X358 @ X360)=>((X359)=(X360))))))=>?[X361:$i]:(((X358 @ X361)&![X362:$i]:(((X358 @ X362)=>((X361)=(X362))))))))=>(![X363:$o, X364:$i]:(((in @ X364 @ (prop2set @ ((X363))))=>(X363)))=>(![X365:$i]:(((in @ X365 @ emptyset)=>![X366:$o]:((X366))))=>(![X367:$i]:(((in @ X367 @ emptyset)=>~($true)))=>(![X368:$i]:(~(in @ X368 @ emptyset))=>(![X369:$i > $o]:((?[X370:$i]:(((X369 @ X370)&![X371:$i]:(((X369 @ X371)=>((X370)=(X371))))))=>?[X372:$i]:((X369 @ X372))))=>(![X373:$i, X374:$i]:((![X375:$i]:(((in @ X375 @ X373)=>(in @ X375 @ X374)))=>(![X376:$i]:(((in @ X376 @ X374)=>(in @ X376 @ X373)))=>((X373)=(X374)))))=>(![X377:$i]:((![X378:$i]:(~(in @ X378 @ X377))=>((X377)=(emptyset))))=>(![X379:$i]:((![X380:$i]:(~(in @ X380 @ X379))=>((X379)=(emptyset))))=>(![X381:$i, X382:$i > $o, X383:$i]:(((in @ X383 @ X381)=>((in @ X383 @ (dsetconstr @ X381 @ X382))<=>(X382 @ X383))))=>(![X384:$i]:((((X384)!=(emptyset))=>?[X385:$i]:((in @ X385 @ X384))))=>(![X386:$i, X387:$i > $o, X388:$i]:(((in @ X388 @ X386)=>((X387 @ X388)=>((dsetconstr @ X386 @ X387)!=(emptyset)))))=>(![X389:$i]:((?[X390:$i]:((in @ X390 @ X389))=>((X389)!=(emptyset))))=>(![X391:$i, X392:$i]:((in @ X391 @ (setadjoin @ X391 @ X392)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X393:$i, X394:$i, X395:$i]:(((in @ X395 @ X394)=>(in @ X395 @ (setadjoin @ X393 @ X394))))=>(![X396:$i, X397:$i, X398:$i]:(((in @ X398 @ (setadjoin @ X396 @ X397))=>![X399:$o]:(((((X398)=(X396))=>(X399))=>(((in @ X398 @ X397)=>(X399))=>(X399))))))=>(![X400:$i, X401:$i, X402:$i]:(((in @ X402 @ (setadjoin @ X400 @ X401))=>(((X402)=(X400))|(in @ X402 @ X401))))=>(![X403:$i]:(((dsetconstr @ X403 @ (^[Z0:$i]:($true)))=(X403)))=>(![X404:$i, X405:$i]:((![X406:$i]:(((in @ X406 @ X405)=>(in @ X406 @ X404)))=>(in @ X405 @ (powerset @ X404))))=>(![X407:$i]:((in @ emptyset @ (powerset @ X407)))=>(![X408:$i]:((in @ emptyset @ (powerset @ X408)))=>(![X409:$i, X410:$i, X411:$i]:(((in @ X410 @ (powerset @ X409))=>((in @ X411 @ X410)=>(in @ X411 @ X409))))=>(![X412:$i, X413:$i, X414:$i]:(((in @ X413 @ X414)=>((in @ X414 @ X412)=>(in @ X413 @ (setunion @ X412)))))=>(![X415:$i, X416:$i]:(((in @ X416 @ (setunion @ X415))=>![X417:$o]:((![X418:$i]:(((in @ X416 @ X418)=>((in @ X418 @ X415)=>(X417))))=>(X417)))))=>(![X419:$i, X420:$i]:(((in @ X420 @ X419)=>(in @ X420 @ (powerset @ (setunion @ X419)))))=>(![X421:$i > $o]:((?[X422:$i]:(((X421 @ X422)&![X423:$i]:(((X421 @ X423)=>((X422)=(X423))))))=>?[X424:$i]:(![X425:$i]:(((X421 @ X425)<=>((X425)=(X424)))))))=>(![X426:$i]:((((X426)!=(emptyset))=>?[X427:$i]:(((in @ X427 @ X426)&$true))))=>(![X428:$i, X429:$i]:(((in @ X428 @ (setadjoin @ X429 @ emptyset))=>((X428)=(X429))))=>(![X430:$i, X431:$i]:((((X430)!=(X431))=>~(in @ X431 @ (setadjoin @ X430 @ emptyset))))=>(![X432:$i, X433:$i]:((((X432)=(X433))=>(in @ X432 @ (setadjoin @ X433 @ emptyset))))=>(![X434:$i, X435:$i]:(((in @ X434 @ (setadjoin @ X435 @ emptyset))=>(in @ X435 @ (setadjoin @ X434 @ emptyset))))=>(![X436:$i, X437:$i, X438:$i]:(((in @ X438 @ (setadjoin @ X436 @ (setadjoin @ X437 @ emptyset)))=>(((X438)=(X436))|((X438)=(X437)))))=>(![X439:$i, X440:$i]:((in @ X439 @ (setadjoin @ X439 @ (setadjoin @ X440 @ emptyset))))=>(![X441:$i, X442:$i]:((in @ X442 @ (setadjoin @ X441 @ (setadjoin @ X442 @ emptyset))))=>(![X443:$i, X444:$i > $o]:((?[X445:$i]:(((in @ X445 @ X443)&(X444 @ X445)))=>(((dsetconstr @ X443 @ X444)=(emptyset))=>~($true))))=>(![X446:$i > $o, X447:$i]:(((in @ X447 @ emptyset)=>(X446 @ X447)))=>(![X448:$i, X449:$i > $o]:((~(![X450:$i]:(((in @ X450 @ X448)=>(X449 @ X450))))=>?[X451:$i]:(((in @ X451 @ X448)&~((X449 @ X451))))))=>(![X452:$i, X453:$i > $o]:((![X454:$i]:(((in @ X454 @ X452)=>~((X453 @ X454))))=>~(?[X455:$i]:(((in @ X455 @ X452)&(X453 @ X455))))))=>(![X456:$i, X457:$i > $o]:((~(?[X458:$i]:(((in @ X458 @ X456)&(X457 @ X458))))=>![X459:$i]:(((in @ X459 @ X456)=>~((X457 @ X459))))))=>(![X460:$i, X461:$i > $o]:((?[X462:$i]:(((in @ X462 @ X460)&~((X461 @ X462))))=>~(![X463:$i]:(((in @ X463 @ X460)=>(X461 @ X463))))))=>(![X464:$o]:(((X464)=>(in @ emptyset @ (prop2set @ ((X464))))))=>(![X465:$o]:(((X465)=>(set2prop @ (prop2set @ ((X465))))))=>(![X466:$i, X467:$i > $o]:((~(?[X468:$i]:(((in @ X468 @ X466)&(X467 @ X468))))=>![X469:$i]:(((in @ X469 @ X466)=>~((X467 @ X469))))))=>(![X470:$i, X471:$i > $o]:((~(![X472:$i]:(((in @ X472 @ X470)=>(X471 @ X472))))=>?[X473:$i]:(((in @ X473 @ X470)&~((X471 @ X473))))))=>(![X474:$i > $o]:((?[X475:$i]:(((X474 @ X475)&![X476:$i]:(((X474 @ X476)=>((X475)=(X476))))))=>?[X477:$i]:(((X474 @ X477)&![X478:$i]:(((X474 @ X478)=>((X477)=(X478))))))))=>(![X479:$i > $o]:((?[X480:$i]:((X479 @ X480))=>(![X481:$i, X482:$i]:(((X479 @ X481)=>((X479 @ X482)=>((X481)=(X482)))))=>?[X483:$i]:(((X479 @ X483)&![X484:$i]:(((X479 @ X484)=>((X483)=(X484)))))))))=>(![X485:$i > $o]:((?[X486:$i]:(![X487:$i]:(((X485 @ X487)<=>((X487)=(X486)))))=>?[X488:$i]:(((X485 @ X488)&![X489:$i]:(((X485 @ X489)=>((X488)=(X489))))))))=>(![X490:$i, X491:$i]:((((X490)=(X491))=>![X492:$i, X493:$i]:((((X492)=(X493))=>((in @ X492 @ X490)=>(in @ X493 @ X491))))))=>(![X494:$i, X495:$i]:((((X494)=(X495))=>![X496:$i, X497:$i]:((((X496)=(X497))=>((in @ X496 @ X494)<=>(in @ X497 @ X495))))))=>(![X498:$i > $o]:((?[X499:$i]:(((X498 @ X499)&![X500:$i]:(((X498 @ X500)=>((X499)=(X500))))))=>![X501:$i, X502:$i]:(((X498 @ X501)=>((X498 @ X502)=>((X501)=(X502)))))))=>(![X503:$i > $o, X504:$i > $o]:((![X505:$i, X506:$i]:((((X505)=(X506))=>((X503 @ X505)<=>(X504 @ X506))))=>(?[X507:$i]:(((X503 @ X507)&![X508:$i]:(((X503 @ X508)=>((X507)=(X508))))))<=>?[X509:$i]:(((X504 @ X509)&![X510:$i]:(((X504 @ X510)=>((X509)=(X510)))))))))=>(((emptyset)=(emptyset))=>(![X511:$i, X512:$i]:((((X511)=(X512))=>![X513:$i, X514:$i]:((((X513)=(X514))=>((setadjoin @ X511 @ X513)=(setadjoin @ X512 @ X514))))))=>(![X515:$i, X516:$i]:((((X515)=(X516))=>((powerset @ X515)=(powerset @ X516))))=>(![X517:$i, X518:$i]:((((X517)=(X518))=>((setunion @ X517)=(setunion @ X518))))=>(((omega)=(omega))=>(![X519:$i > $o]:((?[X520:$i]:(((X519 @ X520)&![X521:$i]:(((X519 @ X521)=>((X520)=(X521))))))=>![X522:$i, X523:$i]:(((X519 @ X522)=>((X519 @ X523)=>((X522)=(X523)))))))=>(![X524:$i > $o, X525:$i > $o]:((![X526:$i, X527:$i]:((((X526)=(X527))=>((X524 @ X526)<=>(X525 @ X527))))=>(?[X528:$i]:(((X524 @ X528)&![X529:$i]:(((X524 @ X529)=>((X528)=(X529))))))=>(?[X530:$i]:(((X525 @ X530)&![X531:$i]:(((X525 @ X531)=>((X530)=(X531))))))=>((descr @ X524)=(descr @ X525))))))=>(![X532:$i, X533:$i]:((((X532)=(X533))=>![X534:$i > $o, X535:$i > $o]:((![X536:$i]:(((in @ X536 @ X532)=>![X537:$i]:(((in @ X537 @ X533)=>(((X536)=(X537))=>((X534 @ X536)<=>(X535 @ X537)))))))=>((dsetconstr @ X532 @ X534)=(dsetconstr @ X533 @ X535))))))=>(![X538:$i, X539:$i]:((![X540:$i]:(((in @ X540 @ X538)=>(in @ X540 @ X539)))=>(subset @ X538 @ X539)))=>(![X541:$i, X542:$i]:((((X541)=(X542))=>(subset @ X542 @ X541)))=>(![X543:$i, X544:$i]:((((X543)=(X544))=>(subset @ X543 @ X544)))=>(![X545:$i, X546:$i]:((![X547:$i]:(((in @ X547 @ X545)=>(in @ X547 @ X546)))=>(subset @ X545 @ X546)))=>(![X548:$i]:((subset @ emptyset @ X548))=>(![X549:$i, X550:$i, X551:$i]:(((subset @ X549 @ X550)=>((in @ X551 @ X549)=>(in @ X551 @ X550))))=>(![X552:$i, X553:$i, X554:$i]:(((subset @ X552 @ X553)=>(~(in @ X554 @ X553)=>~(in @ X554 @ X552))))=>(![X555:$i, X556:$i, X557:$i]:(((in @ X557 @ X555)=>(~(in @ X557 @ X556)=>~(subset @ X555 @ X556))))=>(![X558:$i, X559:$i]:((~(subset @ X558 @ X559)=>((X558)!=(X559))))=>(![X560:$i, X561:$i, X562:$i]:(((in @ X562 @ X560)=>(~(in @ X562 @ X561)=>((X560)!=(X561)))))=>(![X563:$i]:((subset @ X563 @ X563))=>(![X564:$i, X565:$i, X566:$i]:(((subset @ X564 @ X565)=>((subset @ X565 @ X566)=>(subset @ X564 @ X566))))=>(![X567:$i, X568:$i]:((subset @ X568 @ (setadjoin @ X567 @ X568)))=>(![X569:$i, X570:$i, X571:$i]:(((subset @ X569 @ X571)=>(subset @ X569 @ (setadjoin @ X570 @ X571))))=>(![X572:$i, X573:$i]:(((subset @ X572 @ X573)=>(in @ X572 @ (powerset @ X573))))=>(![X574:$i, X575:$i]:(((subset @ X574 @ X575)=>((subset @ X575 @ X574)=>((X574)=(X575)))))=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_109, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_110]), foundationAx]), wellorderingAx]), c_0_111]), c_0_112]), c_0_113]), c_0_114]), c_0_115]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_116]), setext]), emptyI]), noeltsimpempty]), c_0_117]), c_0_118]), c_0_119]), c_0_120]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_121]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_122]), c_0_123]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_124]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_125]), c_0_126]), c_0_127]), inCongP]), in__Cong]), c_0_128]), c_0_129]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_130]), c_0_131]), c_0_132]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub])])]), c_0_133])).
% 0.22/0.32  thf(c_0_135, negated_conjecture, ![X576:$i, X577:$i, X579:$i, X580:$i, X581:$i, X582:$i, X583:$i, X584:$i, X585:$i, X586:$i, X587:$i, X589:$i, X590:$i, X592:$i, X593:$i, X594:$i, X595:$i, X596:$i, X598:$i, X599:$i > $i > $o, X600:$i, X602:$i, X605:$i, X607:$i, X608:$i, X609:$i, X610:$i, X612:$i, X613:$i > $o, X614:$i, X616:$i, X617:$i > $o, X618:$i, X619:$i, X620:$i > $o, X621:$i, X622:$i, X623:$i > $o, X624:$i, X625:$i > $o, X626:$i, X629:$i, X630:$o, X631:$i, X632:$i, X633:$o, X634:$i, X635:$i, X636:$i > $o, X637:$i, X640:$i, X641:$i, X644:$i, X646:$i, X648:$i, X649:$i > $o, X650:$i, X651:$i, X653:$i, X654:$i > $o, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X663:$i, X664:$i, X665:$i, X666:$o, X667:$i, X668:$i, X669:$i, X670:$i, X671:$i, X672:$i, X674:$i, X675:$i, X676:$i, X677:$i, X678:$i, X679:$i, X680:$i, X681:$i, X682:$i, X683:$i, X684:$o, X686:$i, X687:$i, X688:$i > $o, X689:$i, X692:$i, X693:$i, X694:$i, X696:$i, X697:$i, X698:$i, X699:$i, X700:$i, X701:$i, X702:$i, X703:$i, X704:$i, X705:$i, X706:$i, X707:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i > $o, X713:$i, X714:$i > $o, X715:$i, X716:$i, X717:$i > $o, X718:$i, X720:$i, X721:$i > $o, X723:$i, X724:$i, X725:$i > $o, X727:$i, X728:$i, X729:$i > $o, X730:$i, X732:$o, X733:$o, X734:$i, X735:$i > $o, X737:$i, X738:$i, X739:$i > $o, X740:$i, X742:$i > $o, X743:$i, X746:$i, X747:$i > $o, X748:$i, X752:$i, X753:$i > $o, X754:$i, X757:$i, X758:$i, X759:$i, X760:$i, X761:$i, X762:$i, X763:$i, X764:$i, X765:$i, X766:$i > $o, X767:$i, X769:$i, X770:$i, X771:$i > $o, X772:$i > $o, X775:$i, X778:$i, X779:$i, X782:$i, X783:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$i, X791:$i > $o, X792:$i, X794:$i, X795:$i, X796:$i > $o, X797:$i > $o, X800:$i, X802:$i, X804:$i, X805:$i, X806:$i > $o, X807:$i > $o, X810:$i, X811:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X818:$i, X820:$i, X821:$i, X822:$i, X823:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i]:((((~(in @ (esk1_2 @ X576 @ X577) @ X576)|~(in @ (esk1_2 @ X576 @ X577) @ X577)|((X576)=(X577)))&((in @ (esk1_2 @ X576 @ X577) @ X576)|(in @ (esk1_2 @ X576 @ X577) @ X577)|((X576)=(X577))))&(~(in @ X579 @ emptyset)&(((~(in @ X582 @ (setadjoin @ X580 @ X581))|(((X582)=(X580))|(in @ X582 @ X581)))&((((X582)!=(X580))|(in @ X582 @ (setadjoin @ X580 @ X581)))&(~(in @ X582 @ X581)|(in @ X582 @ (setadjoin @ X580 @ X581)))))&(((~(in @ X584 @ (powerset @ X583))|(~(in @ X585 @ X584)|(in @ X585 @ X583)))&(((in @ (esk2_2 @ X586 @ X587) @ X587)|(in @ X587 @ (powerset @ X586)))&(~(in @ (esk2_2 @ X586 @ X587) @ X586)|(in @ X587 @ (powerset @ X586)))))&(((((in @ X590 @ (esk3_2 @ X589 @ X590))|~(in @ X590 @ (setunion @ X589)))&((in @ (esk3_2 @ X589 @ X590) @ X589)|~(in @ X590 @ (setunion @ X589))))&(~(in @ X593 @ X594)|~(in @ X594 @ X592)|(in @ X593 @ (setunion @ X592))))&((in @ emptyset @ omega)&((~(in @ X595 @ omega)|(in @ (setadjoin @ X595 @ X595) @ omega))&(((((in @ (esk4_1 @ X596) @ omega)|~(in @ emptyset @ X596)|(~(in @ X598 @ omega)|(in @ X598 @ X596)))&((in @ (esk4_1 @ X596) @ X596)|~(in @ emptyset @ X596)|(~(in @ X598 @ omega)|(in @ X598 @ X596))))&(~(in @ (setadjoin @ (esk4_1 @ X596) @ (esk4_1 @ X596)) @ X596)|~(in @ emptyset @ X596)|(~(in @ X598 @ omega)|(in @ X598 @ X596))))&((((((in @ (esk8_3 @ X599 @ X600 @ X605) @ X600)|~(in @ X605 @ (esk7_2 @ X599 @ X600))|(in @ (esk5_2 @ X599 @ X600) @ X600))&((X599 @ (esk8_3 @ X599 @ X600 @ X605) @ X605)|~(in @ X605 @ (esk7_2 @ X599 @ X600))|(in @ (esk5_2 @ X599 @ X600) @ X600)))&(~(in @ X608 @ X600)|~(X599 @ X608 @ X607)|(in @ X607 @ (esk7_2 @ X599 @ X600))|(in @ (esk5_2 @ X599 @ X600) @ X600)))&(((((in @ (esk8_3 @ X599 @ X600 @ X605) @ X600)|~(in @ X605 @ (esk7_2 @ X599 @ X600))|((X599 @ (esk5_2 @ X599 @ X600) @ (esk6_3 @ X599 @ X600 @ X602))|~(X599 @ (esk5_2 @ X599 @ X600) @ X602)))&((X599 @ (esk8_3 @ X599 @ X600 @ X605) @ X605)|~(in @ X605 @ (esk7_2 @ X599 @ X600))|((X599 @ (esk5_2 @ X599 @ X600) @ (esk6_3 @ X599 @ X600 @ X602))|~(X599 @ (esk5_2 @ X599 @ X600) @ X602))))&(~(in @ X608 @ X600)|~(X599 @ X608 @ X607)|(in @ X607 @ (esk7_2 @ X599 @ X600))|((X599 @ (esk5_2 @ X599 @ X600) @ (esk6_3 @ X599 @ X600 @ X602))|~(X599 @ (esk5_2 @ X599 @ X600) @ X602))))&((((in @ (esk8_3 @ X599 @ X600 @ X605) @ X600)|~(in @ X605 @ (esk7_2 @ X599 @ X600))|(((X602)!=(esk6_3 @ X599 @ X600 @ X602))|~(X599 @ (esk5_2 @ X599 @ X600) @ X602)))&((X599 @ (esk8_3 @ X599 @ X600 @ X605) @ X605)|~(in @ X605 @ (esk7_2 @ X599 @ X600))|(((X602)!=(esk6_3 @ X599 @ X600 @ X602))|~(X599 @ (esk5_2 @ X599 @ X600) @ X602))))&(~(in @ X608 @ X600)|~(X599 @ X608 @ X607)|(in @ X607 @ (esk7_2 @ X599 @ X600))|(((X602)!=(esk6_3 @ X599 @ X600 @ X602))|~(X599 @ (esk5_2 @ X599 @ X600) @ X602))))))&((((in @ (esk9_1 @ X609) @ X609)|~(in @ X610 @ X609))&(~(in @ X612 @ (esk9_1 @ X609))|~(in @ X612 @ X609)|~(in @ X610 @ X609)))&((epred1_0)&((((X613 @ (esk10_2 @ X613 @ X614))|~(X613 @ X614)|(X613 @ (descr @ X613)))&(((X614)!=(esk10_2 @ X613 @ X614))|~(X613 @ X614)|(X613 @ (descr @ X613))))&((~(in @ X618 @ X616)|(~(X617 @ X618)|(in @ X618 @ (dsetconstr @ X616 @ X617))))&((~(in @ X621 @ (dsetconstr @ X619 @ X620))|(in @ X621 @ X619))&((~(in @ X624 @ (dsetconstr @ X622 @ X623))|(X623 @ X624))&(((((X625 @ (esk12_1 @ X625))|((X625 @ (esk11_2 @ X625 @ X626))|~(X625 @ X626)))&(~(X625 @ X629)|((esk12_1 @ X625)=(X629))|((X625 @ (esk11_2 @ X625 @ X626))|~(X625 @ X626))))&(((X625 @ (esk12_1 @ X625))|(((X626)!=(esk11_2 @ X625 @ X626))|~(X625 @ X626)))&(~(X625 @ X629)|((esk12_1 @ X625)=(X629))|(((X626)!=(esk11_2 @ X625 @ X626))|~(X625 @ X626)))))&((~(in @ X631 @ (prop2set @ ((X630))))|(X630))&((~(in @ X632 @ emptyset)|(X633))&((~(in @ X634 @ emptyset)|~($true))&(~(in @ X635 @ emptyset)&((((X636 @ (esk13_2 @ X636 @ X637))|~(X636 @ X637)|(X636 @ (esk14_1 @ X636)))&(((X637)!=(esk13_2 @ X636 @ X637))|~(X636 @ X637)|(X636 @ (esk14_1 @ X636))))&(((((in @ (esk16_2 @ X640 @ X641) @ X641)|((X640)=(X641))|(in @ (esk15_2 @ X640 @ X641) @ X640))&(~(in @ (esk16_2 @ X640 @ X641) @ X640)|((X640)=(X641))|(in @ (esk15_2 @ X640 @ X641) @ X640)))&(((in @ (esk16_2 @ X640 @ X641) @ X641)|((X640)=(X641))|~(in @ (esk15_2 @ X640 @ X641) @ X641))&(~(in @ (esk16_2 @ X640 @ X641) @ X640)|((X640)=(X641))|~(in @ (esk15_2 @ X640 @ X641) @ X641))))&(((in @ (esk17_1 @ X644) @ X644)|((X644)=(emptyset)))&(((in @ (esk18_1 @ X646) @ X646)|((X646)=(emptyset)))&(((~(in @ X650 @ (dsetconstr @ X648 @ X649))|(X649 @ X650)|~(in @ X650 @ X648))&(~(X649 @ X650)|(in @ X650 @ (dsetconstr @ X648 @ X649))|~(in @ X650 @ X648)))&((((X651)=(emptyset))|(in @ (esk19_1 @ X651) @ X651))&((~(in @ X655 @ X653)|(~(X654 @ X655)|((dsetconstr @ X653 @ X654)!=(emptyset))))&((~(in @ X657 @ X656)|((X656)!=(emptyset)))&((in @ X658 @ (setadjoin @ X658 @ X659))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X662 @ X661)|(in @ X662 @ (setadjoin @ X660 @ X661)))&(((((in @ X665 @ X664)|(X666)|((X665)=(X663))|~(in @ X665 @ (setadjoin @ X663 @ X664)))&(~(X666)|(X666)|((X665)=(X663))|~(in @ X665 @ (setadjoin @ X663 @ X664))))&(((in @ X665 @ X664)|(X666)|~(X666)|~(in @ X665 @ (setadjoin @ X663 @ X664)))&(~(X666)|(X666)|~(X666)|~(in @ X665 @ (setadjoin @ X663 @ X664)))))&((~(in @ X669 @ (setadjoin @ X667 @ X668))|(((X669)=(X667))|(in @ X669 @ X668)))&(((dsetconstr @ X670 @ (^[Z0:$i]:($true)))=(X670))&((((in @ (esk20_2 @ X671 @ X672) @ X672)|(in @ X672 @ (powerset @ X671)))&(~(in @ (esk20_2 @ X671 @ X672) @ X671)|(in @ X672 @ (powerset @ X671))))&((in @ emptyset @ (powerset @ X674))&((in @ emptyset @ (powerset @ X675))&((~(in @ X677 @ (powerset @ X676))|(~(in @ X678 @ X677)|(in @ X678 @ X676)))&((~(in @ X680 @ X681)|(~(in @ X681 @ X679)|(in @ X680 @ (setunion @ X679))))&((((in @ X683 @ (esk21_3 @ X682 @ X683 @ X684))|(X684)|~(in @ X683 @ (setunion @ X682)))&(((in @ (esk21_3 @ X682 @ X683 @ X684) @ X682)|(X684)|~(in @ X683 @ (setunion @ X682)))&(~(X684)|(X684)|~(in @ X683 @ (setunion @ X682)))))&((~(in @ X687 @ X686)|(in @ X687 @ (powerset @ (setunion @ X686))))&((((~(X688 @ X692)|((X692)=(esk23_1 @ X688))|((X688 @ (esk22_2 @ X688 @ X689))|~(X688 @ X689)))&(((X693)!=(esk23_1 @ X688))|(X688 @ X693)|((X688 @ (esk22_2 @ X688 @ X689))|~(X688 @ X689))))&((~(X688 @ X692)|((X692)=(esk23_1 @ X688))|(((X689)!=(esk22_2 @ X688 @ X689))|~(X688 @ X689)))&(((X693)!=(esk23_1 @ X688))|(X688 @ X693)|(((X689)!=(esk22_2 @ X688 @ X689))|~(X688 @ X689)))))&((((in @ (esk24_1 @ X694) @ X694)|((X694)=(emptyset)))&(($true)|((X694)=(emptyset))))&((~(in @ X696 @ (setadjoin @ X697 @ emptyset))|((X696)=(X697)))&((((X698)=(X699))|~(in @ X699 @ (setadjoin @ X698 @ emptyset)))&((((X700)!=(X701))|(in @ X700 @ (setadjoin @ X701 @ emptyset)))&((~(in @ X702 @ (setadjoin @ X703 @ emptyset))|(in @ X703 @ (setadjoin @ X702 @ emptyset)))&((~(in @ X706 @ (setadjoin @ X704 @ (setadjoin @ X705 @ emptyset)))|(((X706)=(X704))|((X706)=(X705))))&((in @ X707 @ (setadjoin @ X707 @ (setadjoin @ X708 @ emptyset)))&((in @ X710 @ (setadjoin @ X709 @ (setadjoin @ X710 @ emptyset)))&((~(in @ X713 @ X711)|~(X712 @ X713)|(((dsetconstr @ X711 @ X712)!=(emptyset))|~($true)))&((~(in @ X715 @ emptyset)|(X714 @ X715))&((((in @ (esk25_2 @ X716 @ X717) @ X716)|(~(in @ X718 @ X716)|(X717 @ X718)))&(~(X717 @ (esk25_2 @ X716 @ X717))|(~(in @ X718 @ X716)|(X717 @ X718))))&((((in @ (esk26_2 @ X720 @ X721) @ X720)|(~(in @ X723 @ X720)|~(X721 @ X723)))&((X721 @ (esk26_2 @ X720 @ X721))|(~(in @ X723 @ X720)|~(X721 @ X723))))&((((in @ (esk27_2 @ X724 @ X725) @ X724)|(~(in @ X727 @ X724)|~(X725 @ X727)))&((X725 @ (esk27_2 @ X724 @ X725))|(~(in @ X727 @ X724)|~(X725 @ X727))))&((((in @ (esk28_2 @ X728 @ X729) @ X728)|(~(in @ X730 @ X728)|(X729 @ X730)))&(~(X729 @ (esk28_2 @ X728 @ X729))|(~(in @ X730 @ X728)|(X729 @ X730))))&((~(X732)|(in @ emptyset @ (prop2set @ ((X732)))))&((~(X733)|(set2prop @ (prop2set @ ((X733)))))&((((in @ (esk29_2 @ X734 @ X735) @ X734)|(~(in @ X737 @ X734)|~(X735 @ X737)))&((X735 @ (esk29_2 @ X734 @ X735))|(~(in @ X737 @ X734)|~(X735 @ X737))))&((((in @ (esk30_2 @ X738 @ X739) @ X738)|(~(in @ X740 @ X738)|(X739 @ X740)))&(~(X739 @ (esk30_2 @ X738 @ X739))|(~(in @ X740 @ X738)|(X739 @ X740))))&(((((X742 @ (esk32_1 @ X742))|((X742 @ (esk31_2 @ X742 @ X743))|~(X742 @ X743)))&(~(X742 @ X746)|((esk32_1 @ X742)=(X746))|((X742 @ (esk31_2 @ X742 @ X743))|~(X742 @ X743))))&(((X742 @ (esk32_1 @ X742))|(((X743)!=(esk31_2 @ X742 @ X743))|~(X742 @ X743)))&(~(X742 @ X746)|((esk32_1 @ X742)=(X746))|(((X743)!=(esk31_2 @ X742 @ X743))|~(X742 @ X743)))))&(((((X747 @ (esk35_1 @ X747))|(X747 @ (esk33_1 @ X747))|~(X747 @ X748))&(~(X747 @ X752)|((esk35_1 @ X747)=(X752))|(X747 @ (esk33_1 @ X747))|~(X747 @ X748)))&((((X747 @ (esk35_1 @ X747))|(X747 @ (esk34_1 @ X747))|~(X747 @ X748))&(~(X747 @ X752)|((esk35_1 @ X747)=(X752))|(X747 @ (esk34_1 @ X747))|~(X747 @ X748)))&(((X747 @ (esk35_1 @ X747))|((esk33_1 @ X747)!=(esk34_1 @ X747))|~(X747 @ X748))&(~(X747 @ X752)|((esk35_1 @ X747)=(X752))|((esk33_1 @ X747)!=(esk34_1 @ X747))|~(X747 @ X748)))))&(((((X753 @ (esk37_1 @ X753))|(~(X753 @ (esk36_2 @ X753 @ X754))|((esk36_2 @ X753 @ X754)!=(X754))))&(~(X753 @ X757)|((esk37_1 @ X753)=(X757))|(~(X753 @ (esk36_2 @ X753 @ X754))|((esk36_2 @ X753 @ X754)!=(X754)))))&(((X753 @ (esk37_1 @ X753))|((X753 @ (esk36_2 @ X753 @ X754))|((esk36_2 @ X753 @ X754)=(X754))))&(~(X753 @ X757)|((esk37_1 @ X753)=(X757))|((X753 @ (esk36_2 @ X753 @ X754))|((esk36_2 @ X753 @ X754)=(X754))))))&((((X758)!=(X759))|(((X760)!=(X761))|(~(in @ X760 @ X758)|(in @ X761 @ X759))))&(((~(in @ X764 @ X762)|(in @ X765 @ X763)|((X764)!=(X765))|((X762)!=(X763)))&(~(in @ X765 @ X763)|(in @ X764 @ X762)|((X764)!=(X765))|((X762)!=(X763))))&((((X766 @ (esk38_2 @ X766 @ X767))|~(X766 @ X767)|(~(X766 @ X769)|(~(X766 @ X770)|((X769)=(X770)))))&(((X767)!=(esk38_2 @ X766 @ X767))|~(X766 @ X767)|(~(X766 @ X769)|(~(X766 @ X770)|((X769)=(X770))))))&(((((((X772 @ (esk42_2 @ X771 @ X772))|((X771 @ (esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|((esk39_2 @ X771 @ X772)=(esk40_2 @ X771 @ X772)))&(~(X772 @ X778)|((esk42_2 @ X771 @ X772)=(X778))|((X771 @ (esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|((esk39_2 @ X771 @ X772)=(esk40_2 @ X771 @ X772))))&(((X772 @ (esk42_2 @ X771 @ X772))|(((X775)!=(esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|((esk39_2 @ X771 @ X772)=(esk40_2 @ X771 @ X772)))&(~(X772 @ X778)|((esk42_2 @ X771 @ X772)=(X778))|(((X775)!=(esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|((esk39_2 @ X771 @ X772)=(esk40_2 @ X771 @ X772)))))&((((X771 @ (esk44_2 @ X771 @ X772))|((X772 @ (esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|((esk39_2 @ X771 @ X772)=(esk40_2 @ X771 @ X772)))&(~(X771 @ X782)|((esk44_2 @ X771 @ X772)=(X782))|((X772 @ (esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|((esk39_2 @ X771 @ X772)=(esk40_2 @ X771 @ X772))))&(((X771 @ (esk44_2 @ X771 @ X772))|(((X779)!=(esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|((esk39_2 @ X771 @ X772)=(esk40_2 @ X771 @ X772)))&(~(X771 @ X782)|((esk44_2 @ X771 @ X772)=(X782))|(((X779)!=(esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|((esk39_2 @ X771 @ X772)=(esk40_2 @ X771 @ X772))))))&((((((X772 @ (esk42_2 @ X771 @ X772))|((X771 @ (esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|(~(X771 @ (esk39_2 @ X771 @ X772))|~(X772 @ (esk40_2 @ X771 @ X772))))&(~(X772 @ X778)|((esk42_2 @ X771 @ X772)=(X778))|((X771 @ (esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|(~(X771 @ (esk39_2 @ X771 @ X772))|~(X772 @ (esk40_2 @ X771 @ X772)))))&(((X772 @ (esk42_2 @ X771 @ X772))|(((X775)!=(esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|(~(X771 @ (esk39_2 @ X771 @ X772))|~(X772 @ (esk40_2 @ X771 @ X772))))&(~(X772 @ X778)|((esk42_2 @ X771 @ X772)=(X778))|(((X775)!=(esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|(~(X771 @ (esk39_2 @ X771 @ X772))|~(X772 @ (esk40_2 @ X771 @ X772))))))&((((X771 @ (esk44_2 @ X771 @ X772))|((X772 @ (esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|(~(X771 @ (esk39_2 @ X771 @ X772))|~(X772 @ (esk40_2 @ X771 @ X772))))&(~(X771 @ X782)|((esk44_2 @ X771 @ X772)=(X782))|((X772 @ (esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|(~(X771 @ (esk39_2 @ X771 @ X772))|~(X772 @ (esk40_2 @ X771 @ X772)))))&(((X771 @ (esk44_2 @ X771 @ X772))|(((X779)!=(esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|(~(X771 @ (esk39_2 @ X771 @ X772))|~(X772 @ (esk40_2 @ X771 @ X772))))&(~(X771 @ X782)|((esk44_2 @ X771 @ X772)=(X782))|(((X779)!=(esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|(~(X771 @ (esk39_2 @ X771 @ X772))|~(X772 @ (esk40_2 @ X771 @ X772)))))))&(((((X772 @ (esk42_2 @ X771 @ X772))|((X771 @ (esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|((X771 @ (esk39_2 @ X771 @ X772))|(X772 @ (esk40_2 @ X771 @ X772))))&(~(X772 @ X778)|((esk42_2 @ X771 @ X772)=(X778))|((X771 @ (esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|((X771 @ (esk39_2 @ X771 @ X772))|(X772 @ (esk40_2 @ X771 @ X772)))))&(((X772 @ (esk42_2 @ X771 @ X772))|(((X775)!=(esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|((X771 @ (esk39_2 @ X771 @ X772))|(X772 @ (esk40_2 @ X771 @ X772))))&(~(X772 @ X778)|((esk42_2 @ X771 @ X772)=(X778))|(((X775)!=(esk41_3 @ X771 @ X772 @ X775))|~(X771 @ X775))|((X771 @ (esk39_2 @ X771 @ X772))|(X772 @ (esk40_2 @ X771 @ X772))))))&((((X771 @ (esk44_2 @ X771 @ X772))|((X772 @ (esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|((X771 @ (esk39_2 @ X771 @ X772))|(X772 @ (esk40_2 @ X771 @ X772))))&(~(X771 @ X782)|((esk44_2 @ X771 @ X772)=(X782))|((X772 @ (esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|((X771 @ (esk39_2 @ X771 @ X772))|(X772 @ (esk40_2 @ X771 @ X772)))))&(((X771 @ (esk44_2 @ X771 @ X772))|(((X779)!=(esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|((X771 @ (esk39_2 @ X771 @ X772))|(X772 @ (esk40_2 @ X771 @ X772))))&(~(X771 @ X782)|((esk44_2 @ X771 @ X772)=(X782))|(((X779)!=(esk43_3 @ X771 @ X772 @ X779))|~(X772 @ X779))|((X771 @ (esk39_2 @ X771 @ X772))|(X772 @ (esk40_2 @ X771 @ X772)))))))))&(((emptyset)=(emptyset))&((((X783)!=(X784))|(((X785)!=(X786))|((setadjoin @ X783 @ X785)=(setadjoin @ X784 @ X786))))&((((X787)!=(X788))|((powerset @ X787)=(powerset @ X788)))&((((X789)!=(X790))|((setunion @ X789)=(setunion @ X790)))&(((omega)=(omega))&((((X791 @ (esk45_2 @ X791 @ X792))|~(X791 @ X792)|(~(X791 @ X794)|(~(X791 @ X795)|((X794)=(X795)))))&(((X792)!=(esk45_2 @ X791 @ X792))|~(X791 @ X792)|(~(X791 @ X794)|(~(X791 @ X795)|((X794)=(X795))))))&((((((X797 @ (esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|((X796 @ (esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|((esk46_2 @ X796 @ X797)=(esk47_2 @ X796 @ X797)))&(((X802)!=(esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|((X796 @ (esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|((esk46_2 @ X796 @ X797)=(esk47_2 @ X796 @ X797))))&(((X797 @ (esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|(((X800)!=(esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|((esk46_2 @ X796 @ X797)=(esk47_2 @ X796 @ X797)))&(((X802)!=(esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|(((X800)!=(esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|((esk46_2 @ X796 @ X797)=(esk47_2 @ X796 @ X797)))))&(((((X797 @ (esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|((X796 @ (esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|(~(X796 @ (esk46_2 @ X796 @ X797))|~(X797 @ (esk47_2 @ X796 @ X797))))&(((X802)!=(esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|((X796 @ (esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|(~(X796 @ (esk46_2 @ X796 @ X797))|~(X797 @ (esk47_2 @ X796 @ X797)))))&(((X797 @ (esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|(((X800)!=(esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|(~(X796 @ (esk46_2 @ X796 @ X797))|~(X797 @ (esk47_2 @ X796 @ X797))))&(((X802)!=(esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|(((X800)!=(esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|(~(X796 @ (esk46_2 @ X796 @ X797))|~(X797 @ (esk47_2 @ X796 @ X797))))))&((((X797 @ (esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|((X796 @ (esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|((X796 @ (esk46_2 @ X796 @ X797))|(X797 @ (esk47_2 @ X796 @ X797))))&(((X802)!=(esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|((X796 @ (esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|((X796 @ (esk46_2 @ X796 @ X797))|(X797 @ (esk47_2 @ X796 @ X797)))))&(((X797 @ (esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|(((X800)!=(esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|((X796 @ (esk46_2 @ X796 @ X797))|(X797 @ (esk47_2 @ X796 @ X797))))&(((X802)!=(esk49_3 @ X796 @ X797 @ X802))|~(X797 @ X802)|((descr @ X796)=(descr @ X797))|(((X800)!=(esk48_3 @ X796 @ X797 @ X800))|~(X796 @ X800))|((X796 @ (esk46_2 @ X796 @ X797))|(X797 @ (esk47_2 @ X796 @ X797))))))))&((((in @ (esk50_4 @ X804 @ X805 @ X806 @ X807) @ X804)|((dsetconstr @ X804 @ X806)=(dsetconstr @ X805 @ X807))|((X804)!=(X805)))&(((in @ (esk51_4 @ X804 @ X805 @ X806 @ X807) @ X805)|((dsetconstr @ X804 @ X806)=(dsetconstr @ X805 @ X807))|((X804)!=(X805)))&((((esk50_4 @ X804 @ X805 @ X806 @ X807)=(esk51_4 @ X804 @ X805 @ X806 @ X807))|((dsetconstr @ X804 @ X806)=(dsetconstr @ X805 @ X807))|((X804)!=(X805)))&((~(X806 @ (esk50_4 @ X804 @ X805 @ X806 @ X807))|~(X807 @ (esk51_4 @ X804 @ X805 @ X806 @ X807))|((dsetconstr @ X804 @ X806)=(dsetconstr @ X805 @ X807))|((X804)!=(X805)))&((X806 @ (esk50_4 @ X804 @ X805 @ X806 @ X807))|(X807 @ (esk51_4 @ X804 @ X805 @ X806 @ X807))|((dsetconstr @ X804 @ X806)=(dsetconstr @ X805 @ X807))|((X804)!=(X805)))))))&((((in @ (esk52_2 @ X810 @ X811) @ X810)|(subset @ X810 @ X811))&(~(in @ (esk52_2 @ X810 @ X811) @ X811)|(subset @ X810 @ X811)))&((((X813)!=(X814))|(subset @ X814 @ X813))&((((X815)!=(X816))|(subset @ X815 @ X816))&((((in @ (esk53_2 @ X817 @ X818) @ X817)|(subset @ X817 @ X818))&(~(in @ (esk53_2 @ X817 @ X818) @ X818)|(subset @ X817 @ X818)))&((subset @ emptyset @ X820)&((~(subset @ X821 @ X822)|(~(in @ X823 @ X821)|(in @ X823 @ X822)))&((~(subset @ X824 @ X825)|((in @ X826 @ X825)|~(in @ X826 @ X824)))&((~(in @ X829 @ X827)|((in @ X829 @ X828)|~(subset @ X827 @ X828)))&(((subset @ X830 @ X831)|((X830)!=(X831)))&((~(in @ X834 @ X832)|((in @ X834 @ X833)|((X832)!=(X833))))&((subset @ X835 @ X835)&((~(subset @ X836 @ X837)|(~(subset @ X837 @ X838)|(subset @ X836 @ X838)))&((subset @ X840 @ (setadjoin @ X839 @ X840))&((~(subset @ X841 @ X843)|(subset @ X841 @ (setadjoin @ X842 @ X843)))&((~(subset @ X844 @ X845)|(in @ X844 @ (powerset @ X845)))&((~(subset @ X846 @ X847)|(~(subset @ X847 @ X846)|((X846)=(X847))))&((subset @ esk54_0 @ emptyset)&((esk54_0)!=(emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_134])])])])])])])).
% 0.22/0.32  thf(c_0_136, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((subset @ X2 @ X3))|~((subset @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_135])).
% 0.22/0.32  thf(c_0_137, negated_conjecture, (subset @ esk54_0 @ emptyset), inference(split_conjunct,[status(thm)],[c_0_135])).
% 0.22/0.32  thf(c_0_138, negated_conjecture, ![X2:$i]:((subset @ emptyset @ X2)), inference(split_conjunct,[status(thm)],[c_0_135])).
% 0.22/0.32  thf(c_0_139, negated_conjecture, ((esk54_0)!=(emptyset)), inference(split_conjunct,[status(thm)],[c_0_135])).
% 0.22/0.32  thf(c_0_140, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_138])]), c_0_139]), ['proof']).
% 0.22/0.32  % SZS output end CNFRefutation
% 0.22/0.32  % Parsed axioms                        : 200
% 0.22/0.32  % Removed by relevancy pruning/SinE    : 0
% 0.22/0.32  % Initial clauses                      : 309
% 0.22/0.32  % Removed in clause preprocessing      : 120
% 0.22/0.32  % Initial clauses in saturation        : 321
% 0.22/0.32  % Processed clauses                    : 55
% 0.22/0.32  % ...of these trivial                  : 2
% 0.22/0.32  % ...subsumed                          : 12
% 0.22/0.32  % ...remaining for further processing  : 41
% 0.22/0.32  % Other redundant clauses eliminated   : 6
% 0.22/0.32  % Clauses deleted for lack of memory   : 0
% 0.22/0.32  % Backward-subsumed                    : 0
% 0.22/0.32  % Backward-rewritten                   : 2
% 0.22/0.32  % Generated clauses                    : 49
% 0.22/0.32  % ...of the previous two non-redundant : 33
% 0.22/0.32  % ...aggressively subsumed             : 0
% 0.22/0.32  % Contextual simplify-reflections      : 0
% 0.22/0.32  % Paramodulations                      : 43
% 0.22/0.32  % Factorizations                       : 0
% 0.22/0.32  % NegExts                              : 0
% 0.22/0.32  % Equation resolutions                 : 6
% 0.22/0.32  % Disequality decompositions           : 0
% 0.22/0.32  % Total rewrite steps                  : 18
% 0.22/0.32  % ...of those cached                   : 5
% 0.22/0.32  % Propositional unsat checks           : 0
% 0.22/0.32  %    Propositional check models        : 0
% 0.22/0.32  %    Propositional check unsatisfiable : 0
% 0.22/0.32  %    Propositional clauses             : 0
% 0.22/0.32  %    Propositional clauses after purity: 0
% 0.22/0.32  %    Propositional unsat core size     : 0
% 0.22/0.32  %    Propositional preprocessing time  : 0.000
% 0.22/0.32  %    Propositional encoding time       : 0.000
% 0.22/0.32  %    Propositional solver time         : 0.000
% 0.22/0.32  %    Success case prop preproc time    : 0.000
% 0.22/0.32  %    Success case prop encoding time   : 0.000
% 0.22/0.32  %    Success case prop solver time     : 0.000
% 0.22/0.32  % Current number of processed clauses  : 33
% 0.22/0.32  %    Positive orientable unit clauses  : 16
% 0.22/0.32  %    Positive unorientable unit clauses: 0
% 0.22/0.32  %    Negative unit clauses             : 2
% 0.22/0.32  %    Non-unit-clauses                  : 15
% 0.22/0.32  % Current number of unprocessed clauses: 299
% 0.22/0.32  % ...number of literals in the above   : 1234
% 0.22/0.32  % Current number of archived formulas  : 0
% 0.22/0.32  % Current number of archived clauses   : 2
% 0.22/0.32  % Clause-clause subsumption calls (NU) : 70
% 0.22/0.32  % Rec. Clause-clause subsumption calls : 63
% 0.22/0.32  % Non-unit clause-clause subsumptions  : 6
% 0.22/0.32  % Unit Clause-clause subsumption calls : 6
% 0.22/0.32  % Rewrite failures with RHS unbound    : 0
% 0.22/0.32  % BW rewrite match attempts            : 4
% 0.22/0.32  % BW rewrite match successes           : 2
% 0.22/0.32  % Condensation attempts                : 0
% 0.22/0.32  % Condensation successes               : 0
% 0.22/0.32  % Termbank termtop insertions          : 32447
% 0.22/0.32  % Search garbage collected termcells   : 10179
% 0.22/0.32  
% 0.22/0.32  % -------------------------------------------------
% 0.22/0.32  % User time                : 0.020 s
% 0.22/0.32  % System time              : 0.013 s
% 0.22/0.32  % Total time               : 0.033 s
% 0.22/0.32  % Maximum resident set size: 6136 pages
% 0.22/0.32  
% 0.22/0.32  % -------------------------------------------------
% 0.22/0.32  % User time                : 0.024 s
% 0.22/0.32  % System time              : 0.020 s
% 0.22/0.32  % Total time               : 0.044 s
% 0.22/0.32  % Maximum resident set size: 5120 pages
% 0.22/0.32  % E exiting
%------------------------------------------------------------------------------