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

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Problem Process solution in
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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SEU574^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 6.44s 1.14s
% Output   : CNFRefutation 6.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU574^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16  % Computer : n015.cluster.edu
% 0.09/0.16  % Model    : x86_64 x86_64
% 0.09/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16  % Memory   : 8046.5625MB
% 0.09/0.16  % OS       : Linux 6.8.0-71-generic
% 0.09/0.16  % CPULimit : 300
% 0.09/0.16  % WCLimit  : 300
% 0.09/0.16  % DateTime : Tue Sep 29 13:54:47 UTC 2026
% 0.09/0.16  % CPUTime  : 
% 0.09/0.16  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21  Running higher-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p
% 6.44/1.14  % Version: 3.5.1-ho
% 6.44/1.14  % Preprocessing class: HSMMSLSSLLLCHFA.
% 6.44/1.14  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.44/1.14  % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 6.44/1.14  % Starting ehoh_best3_rw with 300s (1) cores
% 6.44/1.14  % Starting almost_fo_3 with 300s (1) cores
% 6.44/1.14  % Starting new_ho_13 with 300s (1) cores
% 6.44/1.14  % ehoh_best3_avoidappvar with pid 3562173 completed with status 0
% 6.44/1.14  % Result found by ehoh_best3_avoidappvar
% 6.44/1.14  % Preprocessing class: HSMMSLSSLLLCHFA.
% 6.44/1.14  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.44/1.14  % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 6.44/1.14  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.44/1.14  % No SInE strategy applied
% 6.44/1.14  % Search class: HGHSM-FSLM31-SHFMMMBN
% 6.44/1.14  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.44/1.14  % Starting SubtermCWHack with 136s (1) cores
% 6.44/1.14  % Starting ehoh_best3_avoidappvar with 151s (1) cores
% 6.44/1.14  % Starting sh5l with 136s (1) cores
% 6.44/1.14  % Starting lpo1_def_fix with 136s (1) cores
% 6.44/1.14  % Starting full_lambda_2 with 136s (1) cores
% 6.44/1.14  % ehoh_best3_avoidappvar with pid 3562180 completed with status 0
% 6.44/1.14  % Result found by ehoh_best3_avoidappvar
% 6.44/1.14  % Preprocessing class: HSMMSLSSLLLCHFA.
% 6.44/1.14  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.44/1.14  % Starting ehoh_best3_avoidappvar with 1500s (5) cores
% 6.44/1.14  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.44/1.14  % No SInE strategy applied
% 6.44/1.14  % Search class: HGHSM-FSLM31-SHFMMMBN
% 6.44/1.14  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.44/1.14  % Starting SubtermCWHack with 136s (1) cores
% 6.44/1.14  % Starting ehoh_best3_avoidappvar with 151s (1) cores
% 6.44/1.14  % Preprocessing time       : 0.006 s
% 6.44/1.14  % Presaturation interreduction done
% 6.44/1.14  
% 6.44/1.14  % Proof found!
% 6.44/1.14  % SZS status Theorem
% 6.44/1.14  % SZS output start CNFRefutation
% 6.44/1.14  thf(decl_23, type, in: $i > $i > $o).
% 6.44/1.14  thf(decl_24, type, exu: ($i > $o) > $o).
% 6.44/1.14  thf(decl_25, type, setextAx: $o).
% 6.44/1.14  thf(decl_26, type, emptyset: $i).
% 6.44/1.14  thf(decl_27, type, emptysetAx: $o).
% 6.44/1.14  thf(decl_28, type, setadjoin: $i > $i > $i).
% 6.44/1.14  thf(decl_29, type, setadjoinAx: $o).
% 6.44/1.14  thf(decl_30, type, powerset: $i > $i).
% 6.44/1.14  thf(decl_31, type, powersetAx: $o).
% 6.44/1.14  thf(decl_32, type, setunion: $i > $i).
% 6.44/1.14  thf(decl_33, type, setunionAx: $o).
% 6.44/1.14  thf(decl_34, type, omega: $i).
% 6.44/1.14  thf(decl_35, type, omega0Ax: $o).
% 6.44/1.14  thf(decl_36, type, omegaSAx: $o).
% 6.44/1.14  thf(decl_37, type, omegaIndAx: $o).
% 6.44/1.14  thf(decl_38, type, replAx: $o).
% 6.44/1.14  thf(decl_39, type, foundationAx: $o).
% 6.44/1.14  thf(decl_40, type, wellorderingAx: $o).
% 6.44/1.14  thf(decl_41, type, descr: ($i > $o) > $i).
% 6.44/1.14  thf(decl_42, type, descrp: $o).
% 6.44/1.14  thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 6.44/1.14  thf(decl_44, type, dsetconstrI: $o).
% 6.44/1.14  thf(decl_45, type, dsetconstrEL: $o).
% 6.44/1.14  thf(decl_46, type, dsetconstrER: $o).
% 6.44/1.14  thf(decl_47, type, exuE1: $o).
% 6.44/1.14  thf(decl_48, type, prop2set: $o > $i).
% 6.44/1.14  thf(decl_49, type, prop2setE: $o).
% 6.44/1.14  thf(decl_50, type, emptysetE: $o).
% 6.44/1.14  thf(decl_51, type, emptysetimpfalse: $o).
% 6.44/1.14  thf(decl_52, type, notinemptyset: $o).
% 6.44/1.14  thf(decl_53, type, exuE3e: $o).
% 6.44/1.14  thf(decl_54, type, setext: $o).
% 6.44/1.14  thf(decl_55, type, emptyI: $o).
% 6.44/1.14  thf(decl_56, type, noeltsimpempty: $o).
% 6.44/1.14  thf(decl_57, type, setbeta: $o).
% 6.44/1.14  thf(decl_58, type, nonempty: $i > $o).
% 6.44/1.14  thf(decl_59, type, nonemptyE1: $o).
% 6.44/1.14  thf(decl_60, type, nonemptyI: $o).
% 6.44/1.14  thf(decl_61, type, nonemptyI1: $o).
% 6.44/1.14  thf(decl_62, type, setadjoinIL: $o).
% 6.44/1.14  thf(decl_63, type, emptyinunitempty: $o).
% 6.44/1.14  thf(decl_64, type, setadjoinIR: $o).
% 6.44/1.14  thf(decl_65, type, setadjoinE: $o).
% 6.44/1.14  thf(decl_66, type, setadjoinOr: $o).
% 6.44/1.14  thf(decl_67, type, setoftrueEq: $o).
% 6.44/1.14  thf(decl_68, type, powersetI: $o).
% 6.44/1.14  thf(decl_69, type, emptyinPowerset: $o).
% 6.44/1.14  thf(decl_70, type, emptyInPowerset: $o).
% 6.44/1.14  thf(decl_71, type, powersetE: $o).
% 6.44/1.14  thf(decl_72, type, setunionI: $o).
% 6.44/1.14  thf(decl_73, type, setunionE: $o).
% 6.44/1.14  thf(decl_74, type, subPowSU: $o).
% 6.44/1.14  thf(decl_75, type, exuE2: $o).
% 6.44/1.14  thf(decl_76, type, nonemptyImpWitness: $o).
% 6.44/1.14  thf(decl_77, type, uniqinunit: $o).
% 6.44/1.14  thf(decl_78, type, notinsingleton: $o).
% 6.44/1.14  thf(decl_79, type, eqinunit: $o).
% 6.44/1.14  thf(decl_80, type, singletonsswitch: $o).
% 6.44/1.14  thf(decl_81, type, upairsetE: $o).
% 6.44/1.14  thf(decl_82, type, upairsetIL: $o).
% 6.44/1.14  thf(decl_83, type, upairsetIR: $o).
% 6.44/1.14  thf(decl_84, type, emptyE1: $o).
% 6.44/1.14  thf(decl_85, type, vacuousDall: $o).
% 6.44/1.14  thf(decl_86, type, quantDeMorgan1: $o).
% 6.44/1.14  thf(decl_87, type, quantDeMorgan2: $o).
% 6.44/1.14  thf(decl_88, type, quantDeMorgan3: $o).
% 6.44/1.14  thf(decl_89, type, quantDeMorgan4: $o).
% 6.44/1.14  thf(decl_90, type, prop2setI: $o).
% 6.44/1.14  thf(decl_91, type, set2prop: $i > $o).
% 6.44/1.14  thf(decl_92, type, prop2set2propI: $o).
% 6.44/1.14  thf(decl_93, type, notdexE: $o).
% 6.44/1.14  thf(decl_94, type, notdallE: $o).
% 6.44/1.14  thf(decl_95, type, exuI1: $o).
% 6.44/1.14  thf(decl_96, type, exuI3: $o).
% 6.44/1.14  thf(decl_97, type, exuI2: $o).
% 6.44/1.14  thf(decl_98, type, inCongP: $o).
% 6.44/1.14  thf(decl_99, type, in__Cong: $o).
% 6.44/1.14  thf(decl_100, type, exuE3u: $o).
% 6.44/1.14  thf(decl_101, type, exu__Cong: $o).
% 6.44/1.14  thf(decl_102, type, emptyset__Cong: $o).
% 6.44/1.14  thf(decl_103, type, setadjoin__Cong: $o).
% 6.44/1.14  thf(decl_104, type, powerset__Cong: $o).
% 6.44/1.14  thf(decl_105, type, setunion__Cong: $o).
% 6.44/1.14  thf(decl_106, type, omega__Cong: $o).
% 6.44/1.14  thf(decl_107, type, exuEu: $o).
% 6.44/1.14  thf(decl_108, type, descr__Cong: $o).
% 6.44/1.14  thf(decl_109, type, dsetconstr__Cong: $o).
% 6.44/1.14  thf(decl_110, type, subset: $i > $i > $o).
% 6.44/1.14  thf(decl_113, type, subsetI1: $o).
% 6.44/1.14  thf(decl_114, type, eqimpsubset2: $o).
% 6.44/1.14  thf(decl_115, type, eqimpsubset1: $o).
% 6.44/1.14  thf(decl_116, type, subsetI2: $o).
% 6.44/1.14  thf(decl_117, type, emptysetsubset: $o).
% 6.44/1.14  thf(decl_118, type, subsetE: $o).
% 6.44/1.14  thf(decl_119, type, subsetE2: $o).
% 6.44/1.14  thf(decl_120, type, notsubsetI: $o).
% 6.44/1.14  thf(decl_121, type, notequalI1: $o).
% 6.44/1.14  thf(decl_122, type, notequalI2: $o).
% 6.44/1.14  thf(decl_123, type, subsetRefl: $o).
% 6.44/1.14  thf(decl_124, type, subsetTrans: $o).
% 6.44/1.14  thf(decl_125, type, setadjoinSub: $o).
% 6.44/1.14  thf(decl_126, type, setadjoinSub2: $o).
% 6.44/1.14  thf(decl_127, type, subset2powerset: $o).
% 6.44/1.14  thf(decl_128, type, epred1_0: $o).
% 6.44/1.14  thf(decl_129, type, esk1_2: $i > $i > $i).
% 6.44/1.14  thf(decl_130, type, esk2_2: $i > $i > $i).
% 6.44/1.14  thf(decl_131, type, esk3_2: $i > $i > $i).
% 6.44/1.14  thf(decl_132, type, esk4_1: $i > $i).
% 6.44/1.14  thf(decl_133, type, esk5_2: ($i > $i > $o) > $i > $i).
% 6.44/1.14  thf(decl_134, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 6.44/1.14  thf(decl_135, type, esk7_2: ($i > $i > $o) > $i > $i).
% 6.44/1.14  thf(decl_136, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 6.44/1.14  thf(decl_137, type, esk9_1: $i > $i).
% 6.44/1.14  thf(decl_138, type, esk10_2: ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_139, type, esk11_2: ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_140, type, esk12_1: ($i > $o) > $i).
% 6.44/1.14  thf(decl_141, type, esk13_2: ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_142, type, esk14_1: ($i > $o) > $i).
% 6.44/1.14  thf(decl_143, type, esk15_2: $i > $i > $i).
% 6.44/1.14  thf(decl_144, type, esk16_2: $i > $i > $i).
% 6.44/1.14  thf(decl_145, type, esk17_1: $i > $i).
% 6.44/1.14  thf(decl_146, type, esk18_1: $i > $i).
% 6.44/1.14  thf(decl_147, type, esk19_1: $i > $i).
% 6.44/1.14  thf(decl_148, type, esk20_2: $i > $i > $i).
% 6.44/1.14  thf(decl_149, type, esk21_3: $i > $i > $o > $i).
% 6.44/1.14  thf(decl_150, type, esk22_2: ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_151, type, esk23_1: ($i > $o) > $i).
% 6.44/1.14  thf(decl_152, type, esk24_1: $i > $i).
% 6.44/1.14  thf(decl_153, type, esk25_2: $i > ($i > $o) > $i).
% 6.44/1.14  thf(decl_154, type, esk26_2: $i > ($i > $o) > $i).
% 6.44/1.14  thf(decl_155, type, esk27_2: $i > ($i > $o) > $i).
% 6.44/1.14  thf(decl_156, type, esk28_2: $i > ($i > $o) > $i).
% 6.44/1.14  thf(decl_157, type, esk29_2: $i > ($i > $o) > $i).
% 6.44/1.14  thf(decl_158, type, esk30_2: $i > ($i > $o) > $i).
% 6.44/1.14  thf(decl_159, type, esk31_2: ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_160, type, esk32_1: ($i > $o) > $i).
% 6.44/1.14  thf(decl_161, type, esk33_1: ($i > $o) > $i).
% 6.44/1.14  thf(decl_162, type, esk34_1: ($i > $o) > $i).
% 6.44/1.14  thf(decl_163, type, esk35_1: ($i > $o) > $i).
% 6.44/1.14  thf(decl_164, type, esk36_2: ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_165, type, esk37_1: ($i > $o) > $i).
% 6.44/1.14  thf(decl_166, type, esk38_2: ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_167, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 6.44/1.14  thf(decl_168, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 6.44/1.14  thf(decl_169, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_170, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 6.44/1.14  thf(decl_171, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_172, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 6.44/1.14  thf(decl_173, type, esk45_2: ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_174, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 6.44/1.14  thf(decl_175, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 6.44/1.14  thf(decl_176, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_177, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 6.44/1.14  thf(decl_178, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 6.44/1.14  thf(decl_179, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 6.44/1.14  thf(decl_180, type, esk52_2: $i > $i > $i).
% 6.44/1.14  thf(decl_181, type, esk53_2: $i > $i > $i).
% 6.44/1.14  thf(decl_182, type, esk54_0: $i).
% 6.44/1.14  thf(decl_183, type, esk55_0: $i).
% 6.44/1.14  thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', replAx)).
% 6.44/1.14  thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', exu)).
% 6.44/1.14  thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', descrp)).
% 6.44/1.14  thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', exuE1)).
% 6.44/1.14  thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', exuE3e)).
% 6.44/1.14  thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', nonempty)).
% 6.44/1.14  thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', nonemptyI)).
% 6.44/1.14  thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', exuE2)).
% 6.44/1.14  thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', exuI1)).
% 6.44/1.14  thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', exuI3)).
% 6.44/1.14  thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', exuI2)).
% 6.44/1.14  thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', exuE3u)).
% 6.44/1.14  thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', exu__Cong)).
% 6.44/1.14  thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', exuEu)).
% 6.44/1.14  thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', descr__Cong)).
% 6.44/1.14  thf(setextsub, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setextsub)).
% 6.44/1.14  thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', dsetconstrI)).
% 6.44/1.14  thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', dsetconstrEL)).
% 6.44/1.14  thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', dsetconstrER)).
% 6.44/1.14  thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setbeta)).
% 6.44/1.14  thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', nonemptyE1)).
% 6.44/1.14  thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', nonemptyI1)).
% 6.44/1.14  thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setoftrueEq)).
% 6.44/1.14  thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', nonemptyImpWitness)).
% 6.44/1.14  thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', emptyE1)).
% 6.44/1.14  thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', dsetconstr__Cong)).
% 6.44/1.14  thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setextAx)).
% 6.44/1.14  thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', emptysetAx)).
% 6.44/1.14  thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setadjoinAx)).
% 6.44/1.14  thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', powersetAx)).
% 6.44/1.14  thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setunionAx)).
% 6.44/1.14  thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', omega0Ax)).
% 6.44/1.14  thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', omegaSAx)).
% 6.44/1.14  thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', omegaIndAx)).
% 6.44/1.14  thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', foundationAx)).
% 6.44/1.14  thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', wellorderingAx)).
% 6.44/1.14  thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', prop2setE)).
% 6.44/1.14  thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', emptysetE)).
% 6.44/1.14  thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', emptysetimpfalse)).
% 6.44/1.14  thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', notinemptyset)).
% 6.44/1.14  thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setext)).
% 6.44/1.14  thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', emptyI)).
% 6.44/1.14  thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', noeltsimpempty)).
% 6.44/1.14  thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setadjoinIL)).
% 6.44/1.14  thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', emptyinunitempty)).
% 6.44/1.14  thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setadjoinIR)).
% 6.44/1.14  thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setadjoinE)).
% 6.44/1.14  thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setadjoinOr)).
% 6.44/1.14  thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', powersetI)).
% 6.44/1.14  thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', emptyinPowerset)).
% 6.44/1.14  thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', emptyInPowerset)).
% 6.44/1.14  thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', powersetE)).
% 6.44/1.14  thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setunionI)).
% 6.44/1.14  thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setunionE)).
% 6.44/1.14  thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', subPowSU)).
% 6.44/1.14  thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', uniqinunit)).
% 6.44/1.14  thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', notinsingleton)).
% 6.44/1.14  thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', eqinunit)).
% 6.44/1.14  thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', singletonsswitch)).
% 6.44/1.14  thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', upairsetE)).
% 6.44/1.14  thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', upairsetIL)).
% 6.44/1.14  thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', upairsetIR)).
% 6.44/1.14  thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', vacuousDall)).
% 6.44/1.14  thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', quantDeMorgan1)).
% 6.44/1.14  thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', quantDeMorgan2)).
% 6.44/1.14  thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', quantDeMorgan3)).
% 6.44/1.14  thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', quantDeMorgan4)).
% 6.44/1.14  thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', prop2setI)).
% 6.44/1.14  thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', prop2set2propI)).
% 6.44/1.14  thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', notdexE)).
% 6.44/1.14  thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', notdallE)).
% 6.44/1.14  thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', inCongP)).
% 6.44/1.14  thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', in__Cong)).
% 6.44/1.14  thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', emptyset__Cong)).
% 6.44/1.14  thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setadjoin__Cong)).
% 6.44/1.14  thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', powerset__Cong)).
% 6.44/1.14  thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setunion__Cong)).
% 6.44/1.14  thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', omega__Cong)).
% 6.44/1.14  thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', subsetI1)).
% 6.44/1.14  thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', eqimpsubset2)).
% 6.44/1.14  thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', eqimpsubset1)).
% 6.44/1.14  thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', subsetI2)).
% 6.44/1.14  thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', emptysetsubset)).
% 6.44/1.14  thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', subsetE)).
% 6.44/1.14  thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', subsetE2)).
% 6.44/1.14  thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', notsubsetI)).
% 6.44/1.14  thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', notequalI1)).
% 6.44/1.14  thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', notequalI2)).
% 6.44/1.14  thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', subsetRefl)).
% 6.44/1.14  thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', subsetTrans)).
% 6.44/1.14  thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setadjoinSub)).
% 6.44/1.14  thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', setadjoinSub2)).
% 6.44/1.14  thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.00Z7Y0shuX/E---3.1_3562160.p', subset2powerset)).
% 6.44/1.14  thf(c_0_93, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 6.44/1.14  thf(c_0_94, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 6.44/1.14  thf(c_0_95, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 6.44/1.14  thf(c_0_96, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 6.44/1.14  thf(c_0_97, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 6.44/1.14  thf(c_0_98, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 6.44/1.14  thf(c_0_99, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 6.44/1.14  thf(c_0_100, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 6.44/1.14  thf(c_0_101, 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])).
% 6.44/1.14  thf(c_0_102, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 6.44/1.14  thf(c_0_103, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 6.44/1.14  thf(c_0_104, 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])).
% 6.44/1.14  thf(c_0_105, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 6.44/1.14  thf(c_0_106, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 6.44/1.14  thf(c_0_107, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 6.44/1.14  thf(c_0_108, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setextsub])).
% 6.44/1.14  thf(c_0_109, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X269:$i]:(((((X6 @ X2 @ X269)))&(![X270:$i]:(((((X6 @ X2 @ X270)))=>(((X269)=(X270)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_93, c_0_94])).
% 6.44/1.14  thf(c_0_110, plain, ((descrp)=(![X1:$i > $o]:((((?[X271:$i]:(((((X1 @ X271)))&(![X272:$i]:(((((X1 @ X272)))=>(((X271)=(X272))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_95, c_0_94])).
% 6.44/1.14  thf(c_0_111, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 6.44/1.14  thf(c_0_112, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 6.44/1.14  thf(c_0_113, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 6.44/1.14  thf(c_0_114, plain, ((exuE1)=(![X1:$i > $o]:((((?[X273:$i]:(((((X1 @ X273)))&(![X274:$i]:(((((X1 @ X274)))=>(((X273)=(X274))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_96, c_0_94])).
% 6.44/1.14  thf(c_0_115, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X275:$i]:(((((X1 @ X275)))&(![X276:$i]:(((((X1 @ X276)))=>(((X275)=(X276))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_97, c_0_94])).
% 6.44/1.14  thf(c_0_116, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 6.44/1.14  thf(c_0_117, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_98])).
% 6.44/1.14  thf(c_0_118, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_99, c_0_98])).
% 6.44/1.14  thf(c_0_119, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_98])).
% 6.44/1.14  thf(c_0_120, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 6.44/1.14  thf(c_0_121, plain, ((exuE2)=(![X1:$i > $o]:((((?[X277:$i]:(((((X1 @ X277)))&(![X278:$i]:(((((X1 @ X278)))=>(((X277)=(X278))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_100, c_0_94])).
% 6.44/1.14  thf(c_0_122, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_98])).
% 6.44/1.14  thf(c_0_123, 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])).
% 6.44/1.14  thf(c_0_124, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X279:$i]:(((((X1 @ X279)))&(![X280:$i]:(((((X1 @ X280)))=>(((X279)=(X280)))))))))))))), inference(apply_def,[status(thm)],[c_0_101, c_0_94])).
% 6.44/1.14  thf(c_0_125, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X281:$i]:(((((X1 @ X281)))&(![X282:$i]:(((((X1 @ X282)))=>(((X281)=(X282)))))))))))))))), inference(apply_def,[status(thm)],[c_0_102, c_0_94])).
% 6.44/1.14  thf(c_0_126, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X283:$i]:(((((X1 @ X283)))&(![X284:$i]:(((((X1 @ X284)))=>(((X283)=(X284)))))))))))))), inference(apply_def,[status(thm)],[c_0_103, c_0_94])).
% 6.44/1.14  thf(c_0_127, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X285:$i]:(((((X1 @ X285)))&(![X286:$i]:(((((X1 @ X286)))=>(((X285)=(X286))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_94])).
% 6.44/1.14  thf(c_0_128, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X287:$i]:(((((X1 @ X287)))&(![X288:$i]:(((((X1 @ X288)))=>(((X287)=(X288))))))))))<=>((?[X289:$i]:(((((X17 @ X289)))&(![X290:$i]:(((((X17 @ X290)))=>(((X289)=(X290)))))))))))))))), inference(apply_def,[status(thm)],[c_0_105, c_0_94])).
% 6.44/1.14  thf(c_0_129, plain, ((exuEu)=(![X1:$i > $o]:((((?[X291:$i]:(((((X1 @ X291)))&(![X292:$i]:(((((X1 @ X292)))=>(((X291)=(X292))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_106, c_0_94])).
% 6.44/1.14  thf(c_0_130, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X293:$i]:(((((X1 @ X293)))&(![X294:$i]:(((((X1 @ X294)))=>(((X293)=(X294))))))))))=>((((?[X295:$i]:(((((X17 @ X295)))&(![X296:$i]:(((((X17 @ X296)))=>(((X295)=(X296))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_107, c_0_94])).
% 6.44/1.14  thf(c_0_131, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 6.44/1.14  thf(c_0_132, plain, ((epred1_0)<=>![X326:$i]:(?[X327:$i]:((((![X328:$i]:(((in @ X328 @ X327)=>![X329:$i]:(((in @ X329 @ X328)=>(in @ X329 @ X326)))))&![X330:$i, X331:$i]:((((in @ X330 @ X326)&(in @ X331 @ X326))=>(![X332:$i]:(((in @ X332 @ X327)=>((in @ X330 @ X332)<=>(in @ X331 @ X332))))=>((X330)=(X331))))))&![X333:$i, X334:$i]:((((in @ X333 @ X327)&(in @ X334 @ X327))=>(![X335:$i]:(((in @ X335 @ X333)=>(in @ X335 @ X334)))|![X336:$i]:(((in @ X336 @ X334)=>(in @ X336 @ X333)))))))&![X337:$i]:(((![X338:$i]:(((in @ X338 @ X337)=>(in @ X338 @ X326)))&?[X339:$i]:((in @ X339 @ X337)))=>?[X340:$i, X341:$i]:(((((in @ X340 @ X327)&(in @ X341 @ X337))&~(?[X342:$i]:(((in @ X342 @ X340)&(in @ X342 @ X337)))))&![X343:$i]:(((in @ X343 @ X327)=>(![X344:$i]:(((in @ X344 @ X343)=>(in @ X344 @ X340)))|(in @ X341 @ X343)))))))))))), introduced(definition)).
% 6.44/1.14  thf(c_0_133, negated_conjecture, ~((![X297:$i, X298:$i]:((![X299:$i]:(((in @ X299 @ X297)<=>(in @ X299 @ X298)))=>((X297)=(X298))))=>(![X300:$i]:(~(in @ X300 @ emptyset))=>(![X301:$i, X302:$i, X303:$i]:(((in @ X303 @ (setadjoin @ X301 @ X302))<=>(((X303)=(X301))|(in @ X303 @ X302))))=>(![X304:$i, X305:$i]:(((in @ X305 @ (powerset @ X304))<=>![X306:$i]:(((in @ X306 @ X305)=>(in @ X306 @ X304)))))=>(![X307:$i, X308:$i]:(((in @ X308 @ (setunion @ X307))<=>?[X309:$i]:(((in @ X308 @ X309)&(in @ X309 @ X307)))))=>((in @ emptyset @ omega)=>(![X310:$i]:(((in @ X310 @ omega)=>(in @ (setadjoin @ X310 @ X310) @ omega)))=>(![X311:$i]:((((in @ emptyset @ X311)&![X312:$i]:((((in @ X312 @ omega)&(in @ X312 @ X311))=>(in @ (setadjoin @ X312 @ X312) @ X311))))=>![X313:$i]:(((in @ X313 @ omega)=>(in @ X313 @ X311)))))=>(![X314:$i > $i > $o, X315:$i]:((![X316:$i]:(((in @ X316 @ X315)=>?[X317:$i]:(((X314 @ X316 @ X317)&![X318:$i]:(((X314 @ X316 @ X318)=>((X317)=(X318))))))))=>?[X319:$i]:(![X320:$i]:(((in @ X320 @ X319)<=>?[X321:$i]:(((in @ X321 @ X315)&(X314 @ X321 @ X320))))))))=>(![X322:$i]:((?[X323:$i]:((in @ X323 @ X322))=>?[X324:$i]:(((in @ X324 @ X322)&~(?[X325:$i]:(((in @ X325 @ X324)&(in @ X325 @ X322))))))))=>((epred1_0)=>(![X345:$i > $o]:((?[X346:$i]:(((X345 @ X346)&![X347:$i]:(((X345 @ X347)=>((X346)=(X347))))))=>(X345 @ (descr @ (^[Z0:$i]:(X345 @ Z0))))))=>(![X348:$i, X349:$i > $o, X350:$i]:(((in @ X350 @ X348)=>((X349 @ X350)=>(in @ X350 @ (dsetconstr @ X348 @ X349)))))=>(![X351:$i, X352:$i > $o, X353:$i]:(((in @ X353 @ (dsetconstr @ X351 @ X352))=>(in @ X353 @ X351)))=>(![X354:$i, X355:$i > $o, X356:$i]:(((in @ X356 @ (dsetconstr @ X354 @ X355))=>(X355 @ X356)))=>(![X357:$i > $o]:((?[X358:$i]:(((X357 @ X358)&![X359:$i]:(((X357 @ X359)=>((X358)=(X359))))))=>?[X360:$i]:(((X357 @ X360)&![X361:$i]:(((X357 @ X361)=>((X360)=(X361))))))))=>(![X362:$o, X363:$i]:(((in @ X363 @ (prop2set @ ((X362))))=>(X362)))=>(![X364:$i]:(((in @ X364 @ emptyset)=>![X365:$o]:((X365))))=>(![X366:$i]:(((in @ X366 @ emptyset)=>~($true)))=>(![X367:$i]:(~(in @ X367 @ emptyset))=>(![X368:$i > $o]:((?[X369:$i]:(((X368 @ X369)&![X370:$i]:(((X368 @ X370)=>((X369)=(X370))))))=>?[X371:$i]:((X368 @ X371))))=>(![X372:$i, X373:$i]:((![X374:$i]:(((in @ X374 @ X372)=>(in @ X374 @ X373)))=>(![X375:$i]:(((in @ X375 @ X373)=>(in @ X375 @ X372)))=>((X372)=(X373)))))=>(![X376:$i]:((![X377:$i]:(~(in @ X377 @ X376))=>((X376)=(emptyset))))=>(![X378:$i]:((![X379:$i]:(~(in @ X379 @ X378))=>((X378)=(emptyset))))=>(![X380:$i, X381:$i > $o, X382:$i]:(((in @ X382 @ X380)=>((in @ X382 @ (dsetconstr @ X380 @ X381))<=>(X381 @ X382))))=>(![X383:$i]:((((X383)!=(emptyset))=>?[X384:$i]:((in @ X384 @ X383))))=>(![X385:$i, X386:$i > $o, X387:$i]:(((in @ X387 @ X385)=>((X386 @ X387)=>((dsetconstr @ X385 @ X386)!=(emptyset)))))=>(![X388:$i]:((?[X389:$i]:((in @ X389 @ X388))=>((X388)!=(emptyset))))=>(![X390:$i, X391:$i]:((in @ X390 @ (setadjoin @ X390 @ X391)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X392:$i, X393:$i, X394:$i]:(((in @ X394 @ X393)=>(in @ X394 @ (setadjoin @ X392 @ X393))))=>(![X395:$i, X396:$i, X397:$i]:(((in @ X397 @ (setadjoin @ X395 @ X396))=>![X398:$o]:(((((X397)=(X395))=>(X398))=>(((in @ X397 @ X396)=>(X398))=>(X398))))))=>(![X399:$i, X400:$i, X401:$i]:(((in @ X401 @ (setadjoin @ X399 @ X400))=>(((X401)=(X399))|(in @ X401 @ X400))))=>(![X402:$i]:(((dsetconstr @ X402 @ (^[Z0:$i]:($true)))=(X402)))=>(![X403:$i, X404:$i]:((![X405:$i]:(((in @ X405 @ X404)=>(in @ X405 @ X403)))=>(in @ X404 @ (powerset @ X403))))=>(![X406:$i]:((in @ emptyset @ (powerset @ X406)))=>(![X407:$i]:((in @ emptyset @ (powerset @ X407)))=>(![X408:$i, X409:$i, X410:$i]:(((in @ X409 @ (powerset @ X408))=>((in @ X410 @ X409)=>(in @ X410 @ X408))))=>(![X411:$i, X412:$i, X413:$i]:(((in @ X412 @ X413)=>((in @ X413 @ X411)=>(in @ X412 @ (setunion @ X411)))))=>(![X414:$i, X415:$i]:(((in @ X415 @ (setunion @ X414))=>![X416:$o]:((![X417:$i]:(((in @ X415 @ X417)=>((in @ X417 @ X414)=>(X416))))=>(X416)))))=>(![X418:$i, X419:$i]:(((in @ X419 @ X418)=>(in @ X419 @ (powerset @ (setunion @ X418)))))=>(![X420:$i > $o]:((?[X421:$i]:(((X420 @ X421)&![X422:$i]:(((X420 @ X422)=>((X421)=(X422))))))=>?[X423:$i]:(![X424:$i]:(((X420 @ X424)<=>((X424)=(X423)))))))=>(![X425:$i]:((((X425)!=(emptyset))=>?[X426:$i]:(((in @ X426 @ X425)&$true))))=>(![X427:$i, X428:$i]:(((in @ X427 @ (setadjoin @ X428 @ emptyset))=>((X427)=(X428))))=>(![X429:$i, X430:$i]:((((X429)!=(X430))=>~(in @ X430 @ (setadjoin @ X429 @ emptyset))))=>(![X431:$i, X432:$i]:((((X431)=(X432))=>(in @ X431 @ (setadjoin @ X432 @ emptyset))))=>(![X433:$i, X434:$i]:(((in @ X433 @ (setadjoin @ X434 @ emptyset))=>(in @ X434 @ (setadjoin @ X433 @ emptyset))))=>(![X435:$i, X436:$i, X437:$i]:(((in @ X437 @ (setadjoin @ X435 @ (setadjoin @ X436 @ emptyset)))=>(((X437)=(X435))|((X437)=(X436)))))=>(![X438:$i, X439:$i]:((in @ X438 @ (setadjoin @ X438 @ (setadjoin @ X439 @ emptyset))))=>(![X440:$i, X441:$i]:((in @ X441 @ (setadjoin @ X440 @ (setadjoin @ X441 @ emptyset))))=>(![X442:$i, X443:$i > $o]:((?[X444:$i]:(((in @ X444 @ X442)&(X443 @ X444)))=>(((dsetconstr @ X442 @ X443)=(emptyset))=>~($true))))=>(![X445:$i > $o, X446:$i]:(((in @ X446 @ emptyset)=>(X445 @ X446)))=>(![X447:$i, X448:$i > $o]:((~(![X449:$i]:(((in @ X449 @ X447)=>(X448 @ X449))))=>?[X450:$i]:(((in @ X450 @ X447)&~((X448 @ X450))))))=>(![X451:$i, X452:$i > $o]:((![X453:$i]:(((in @ X453 @ X451)=>~((X452 @ X453))))=>~(?[X454:$i]:(((in @ X454 @ X451)&(X452 @ X454))))))=>(![X455:$i, X456:$i > $o]:((~(?[X457:$i]:(((in @ X457 @ X455)&(X456 @ X457))))=>![X458:$i]:(((in @ X458 @ X455)=>~((X456 @ X458))))))=>(![X459:$i, X460:$i > $o]:((?[X461:$i]:(((in @ X461 @ X459)&~((X460 @ X461))))=>~(![X462:$i]:(((in @ X462 @ X459)=>(X460 @ X462))))))=>(![X463:$o]:(((X463)=>(in @ emptyset @ (prop2set @ ((X463))))))=>(![X464:$o]:(((X464)=>(set2prop @ (prop2set @ ((X464))))))=>(![X465:$i, X466:$i > $o]:((~(?[X467:$i]:(((in @ X467 @ X465)&(X466 @ X467))))=>![X468:$i]:(((in @ X468 @ X465)=>~((X466 @ X468))))))=>(![X469:$i, X470:$i > $o]:((~(![X471:$i]:(((in @ X471 @ X469)=>(X470 @ X471))))=>?[X472:$i]:(((in @ X472 @ X469)&~((X470 @ X472))))))=>(![X473:$i > $o]:((?[X474:$i]:(((X473 @ X474)&![X475:$i]:(((X473 @ X475)=>((X474)=(X475))))))=>?[X476:$i]:(((X473 @ X476)&![X477:$i]:(((X473 @ X477)=>((X476)=(X477))))))))=>(![X478:$i > $o]:((?[X479:$i]:((X478 @ X479))=>(![X480:$i, X481:$i]:(((X478 @ X480)=>((X478 @ X481)=>((X480)=(X481)))))=>?[X482:$i]:(((X478 @ X482)&![X483:$i]:(((X478 @ X483)=>((X482)=(X483)))))))))=>(![X484:$i > $o]:((?[X485:$i]:(![X486:$i]:(((X484 @ X486)<=>((X486)=(X485)))))=>?[X487:$i]:(((X484 @ X487)&![X488:$i]:(((X484 @ X488)=>((X487)=(X488))))))))=>(![X489:$i, X490:$i]:((((X489)=(X490))=>![X491:$i, X492:$i]:((((X491)=(X492))=>((in @ X491 @ X489)=>(in @ X492 @ X490))))))=>(![X493:$i, X494:$i]:((((X493)=(X494))=>![X495:$i, X496:$i]:((((X495)=(X496))=>((in @ X495 @ X493)<=>(in @ X496 @ X494))))))=>(![X497:$i > $o]:((?[X498:$i]:(((X497 @ X498)&![X499:$i]:(((X497 @ X499)=>((X498)=(X499))))))=>![X500:$i, X501:$i]:(((X497 @ X500)=>((X497 @ X501)=>((X500)=(X501)))))))=>(![X502:$i > $o, X503:$i > $o]:((![X504:$i, X505:$i]:((((X504)=(X505))=>((X502 @ X504)<=>(X503 @ X505))))=>(?[X506:$i]:(((X502 @ X506)&![X507:$i]:(((X502 @ X507)=>((X506)=(X507))))))<=>?[X508:$i]:(((X503 @ X508)&![X509:$i]:(((X503 @ X509)=>((X508)=(X509)))))))))=>(((emptyset)=(emptyset))=>(![X510:$i, X511:$i]:((((X510)=(X511))=>![X512:$i, X513:$i]:((((X512)=(X513))=>((setadjoin @ X510 @ X512)=(setadjoin @ X511 @ X513))))))=>(![X514:$i, X515:$i]:((((X514)=(X515))=>((powerset @ X514)=(powerset @ X515))))=>(![X516:$i, X517:$i]:((((X516)=(X517))=>((setunion @ X516)=(setunion @ X517))))=>(((omega)=(omega))=>(![X518:$i > $o]:((?[X519:$i]:(((X518 @ X519)&![X520:$i]:(((X518 @ X520)=>((X519)=(X520))))))=>![X521:$i, X522:$i]:(((X518 @ X521)=>((X518 @ X522)=>((X521)=(X522)))))))=>(![X523:$i > $o, X524:$i > $o]:((![X525:$i, X526:$i]:((((X525)=(X526))=>((X523 @ X525)<=>(X524 @ X526))))=>(?[X527:$i]:(((X523 @ X527)&![X528:$i]:(((X523 @ X528)=>((X527)=(X528))))))=>(?[X529:$i]:(((X524 @ X529)&![X530:$i]:(((X524 @ X530)=>((X529)=(X530))))))=>((descr @ X523)=(descr @ X524))))))=>(![X531:$i, X532:$i]:((((X531)=(X532))=>![X533:$i > $o, X534:$i > $o]:((![X535:$i]:(((in @ X535 @ X531)=>![X536:$i]:(((in @ X536 @ X532)=>(((X535)=(X536))=>((X533 @ X535)<=>(X534 @ X536)))))))=>((dsetconstr @ X531 @ X533)=(dsetconstr @ X532 @ X534))))))=>(![X537:$i, X538:$i]:((![X539:$i]:(((in @ X539 @ X537)=>(in @ X539 @ X538)))=>(subset @ X537 @ X538)))=>(![X540:$i, X541:$i]:((((X540)=(X541))=>(subset @ X541 @ X540)))=>(![X542:$i, X543:$i]:((((X542)=(X543))=>(subset @ X542 @ X543)))=>(![X544:$i, X545:$i]:((![X546:$i]:(((in @ X546 @ X544)=>(in @ X546 @ X545)))=>(subset @ X544 @ X545)))=>(![X547:$i]:((subset @ emptyset @ X547))=>(![X548:$i, X549:$i, X550:$i]:(((subset @ X548 @ X549)=>((in @ X550 @ X548)=>(in @ X550 @ X549))))=>(![X551:$i, X552:$i, X553:$i]:(((subset @ X551 @ X552)=>(~(in @ X553 @ X552)=>~(in @ X553 @ X551))))=>(![X554:$i, X555:$i, X556:$i]:(((in @ X556 @ X554)=>(~(in @ X556 @ X555)=>~(subset @ X554 @ X555))))=>(![X557:$i, X558:$i]:((~(subset @ X557 @ X558)=>((X557)!=(X558))))=>(![X559:$i, X560:$i, X561:$i]:(((in @ X561 @ X559)=>(~(in @ X561 @ X560)=>((X559)!=(X560)))))=>(![X562:$i]:((subset @ X562 @ X562))=>(![X563:$i, X564:$i, X565:$i]:(((subset @ X563 @ X564)=>((subset @ X564 @ X565)=>(subset @ X563 @ X565))))=>(![X566:$i, X567:$i]:((subset @ X567 @ (setadjoin @ X566 @ X567)))=>(![X568:$i, X569:$i, X570:$i]:(((subset @ X568 @ X570)=>(subset @ X568 @ (setadjoin @ X569 @ X570))))=>(![X571:$i, X572:$i]:(((subset @ X571 @ X572)=>(in @ X571 @ (powerset @ X572))))=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((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)],[c_0_108, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_109]), foundationAx]), wellorderingAx]), c_0_110]), c_0_111]), c_0_112]), c_0_113]), c_0_114]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_115]), setext]), emptyI]), noeltsimpempty]), c_0_116]), c_0_117]), c_0_118]), c_0_119]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_120]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_121]), c_0_122]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_123]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_124]), c_0_125]), c_0_126]), inCongP]), in__Cong]), c_0_127]), c_0_128]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_129]), c_0_130]), c_0_131]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset])])]), c_0_132])).
% 6.44/1.14  thf(c_0_134, negated_conjecture, ![X573:$i, X574:$i, X576:$i, X577:$i, X578:$i, X579:$i, X580:$i, X581:$i, X582:$i, X583:$i, X584:$i, X586:$i, X587:$i, X589:$i, X590:$i, X591:$i, X592:$i, X593:$i, X595:$i, X596:$i > $i > $o, X597:$i, X599:$i, X602:$i, X604:$i, X605:$i, X606:$i, X607:$i, X609:$i, X610:$i > $o, X611:$i, X613:$i, X614:$i > $o, X615:$i, X616:$i, X617:$i > $o, X618:$i, X619:$i, X620:$i > $o, X621:$i, X622:$i > $o, X623:$i, X626:$i, X627:$o, X628:$i, X629:$i, X630:$o, X631:$i, X632:$i, X633:$i > $o, X634:$i, X637:$i, X638:$i, X641:$i, X643:$i, X645:$i, X646:$i > $o, X647:$i, X648:$i, X650:$i, X651:$i > $o, X652:$i, X653:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X663:$o, X664:$i, X665:$i, X666:$i, X667:$i, X668:$i, X669:$i, X671:$i, X672:$i, X673:$i, X674:$i, X675:$i, X676:$i, X677:$i, X678:$i, X679:$i, X680:$i, X681:$o, X683:$i, X684:$i, X685:$i > $o, X686:$i, X689:$i, X690:$i, X691:$i, X693:$i, X694:$i, X695:$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 > $o, X710:$i, X711:$i > $o, X712:$i, X713:$i, X714:$i > $o, X715:$i, X717:$i, X718:$i > $o, X720:$i, X721:$i, X722:$i > $o, X724:$i, X725:$i, X726:$i > $o, X727:$i, X729:$o, X730:$o, X731:$i, X732:$i > $o, X734:$i, X735:$i, X736:$i > $o, X737:$i, X739:$i > $o, X740:$i, X743:$i, X744:$i > $o, X745:$i, X749:$i, X750:$i > $o, X751:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$i, X760:$i, X761:$i, X762:$i, X763:$i > $o, X764:$i, X766:$i, X767:$i, X768:$i > $o, X769:$i > $o, X772:$i, X775:$i, X776:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i > $o, X789:$i, X791:$i, X792:$i, X793:$i > $o, X794:$i > $o, X797:$i, X799:$i, X801:$i, X802:$i, X803:$i > $o, X804:$i > $o, X807:$i, X808:$i, X810:$i, X811:$i, X812:$i, X813:$i, X814:$i, X815:$i, X817:$i, X818:$i, X819:$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]:((((~(in @ (esk1_2 @ X573 @ X574) @ X573)|~(in @ (esk1_2 @ X573 @ X574) @ X574)|((X573)=(X574)))&((in @ (esk1_2 @ X573 @ X574) @ X573)|(in @ (esk1_2 @ X573 @ X574) @ X574)|((X573)=(X574))))&(~(in @ X576 @ emptyset)&(((~(in @ X579 @ (setadjoin @ X577 @ X578))|(((X579)=(X577))|(in @ X579 @ X578)))&((((X579)!=(X577))|(in @ X579 @ (setadjoin @ X577 @ X578)))&(~(in @ X579 @ X578)|(in @ X579 @ (setadjoin @ X577 @ X578)))))&(((~(in @ X581 @ (powerset @ X580))|(~(in @ X582 @ X581)|(in @ X582 @ X580)))&(((in @ (esk2_2 @ X583 @ X584) @ X584)|(in @ X584 @ (powerset @ X583)))&(~(in @ (esk2_2 @ X583 @ X584) @ X583)|(in @ X584 @ (powerset @ X583)))))&(((((in @ X587 @ (esk3_2 @ X586 @ X587))|~(in @ X587 @ (setunion @ X586)))&((in @ (esk3_2 @ X586 @ X587) @ X586)|~(in @ X587 @ (setunion @ X586))))&(~(in @ X590 @ X591)|~(in @ X591 @ X589)|(in @ X590 @ (setunion @ X589))))&((in @ emptyset @ omega)&((~(in @ X592 @ omega)|(in @ (setadjoin @ X592 @ X592) @ omega))&(((((in @ (esk4_1 @ X593) @ omega)|~(in @ emptyset @ X593)|(~(in @ X595 @ omega)|(in @ X595 @ X593)))&((in @ (esk4_1 @ X593) @ X593)|~(in @ emptyset @ X593)|(~(in @ X595 @ omega)|(in @ X595 @ X593))))&(~(in @ (setadjoin @ (esk4_1 @ X593) @ (esk4_1 @ X593)) @ X593)|~(in @ emptyset @ X593)|(~(in @ X595 @ omega)|(in @ X595 @ X593))))&((((((in @ (esk8_3 @ X596 @ X597 @ X602) @ X597)|~(in @ X602 @ (esk7_2 @ X596 @ X597))|(in @ (esk5_2 @ X596 @ X597) @ X597))&((X596 @ (esk8_3 @ X596 @ X597 @ X602) @ X602)|~(in @ X602 @ (esk7_2 @ X596 @ X597))|(in @ (esk5_2 @ X596 @ X597) @ X597)))&(~(in @ X605 @ X597)|~(X596 @ X605 @ X604)|(in @ X604 @ (esk7_2 @ X596 @ X597))|(in @ (esk5_2 @ X596 @ X597) @ X597)))&(((((in @ (esk8_3 @ X596 @ X597 @ X602) @ X597)|~(in @ X602 @ (esk7_2 @ X596 @ X597))|((X596 @ (esk5_2 @ X596 @ X597) @ (esk6_3 @ X596 @ X597 @ X599))|~(X596 @ (esk5_2 @ X596 @ X597) @ X599)))&((X596 @ (esk8_3 @ X596 @ X597 @ X602) @ X602)|~(in @ X602 @ (esk7_2 @ X596 @ X597))|((X596 @ (esk5_2 @ X596 @ X597) @ (esk6_3 @ X596 @ X597 @ X599))|~(X596 @ (esk5_2 @ X596 @ X597) @ X599))))&(~(in @ X605 @ X597)|~(X596 @ X605 @ X604)|(in @ X604 @ (esk7_2 @ X596 @ X597))|((X596 @ (esk5_2 @ X596 @ X597) @ (esk6_3 @ X596 @ X597 @ X599))|~(X596 @ (esk5_2 @ X596 @ X597) @ X599))))&((((in @ (esk8_3 @ X596 @ X597 @ X602) @ X597)|~(in @ X602 @ (esk7_2 @ X596 @ X597))|(((X599)!=(esk6_3 @ X596 @ X597 @ X599))|~(X596 @ (esk5_2 @ X596 @ X597) @ X599)))&((X596 @ (esk8_3 @ X596 @ X597 @ X602) @ X602)|~(in @ X602 @ (esk7_2 @ X596 @ X597))|(((X599)!=(esk6_3 @ X596 @ X597 @ X599))|~(X596 @ (esk5_2 @ X596 @ X597) @ X599))))&(~(in @ X605 @ X597)|~(X596 @ X605 @ X604)|(in @ X604 @ (esk7_2 @ X596 @ X597))|(((X599)!=(esk6_3 @ X596 @ X597 @ X599))|~(X596 @ (esk5_2 @ X596 @ X597) @ X599))))))&((((in @ (esk9_1 @ X606) @ X606)|~(in @ X607 @ X606))&(~(in @ X609 @ (esk9_1 @ X606))|~(in @ X609 @ X606)|~(in @ X607 @ X606)))&((epred1_0)&((((X610 @ (esk10_2 @ X610 @ X611))|~(X610 @ X611)|(X610 @ (descr @ X610)))&(((X611)!=(esk10_2 @ X610 @ X611))|~(X610 @ X611)|(X610 @ (descr @ X610))))&((~(in @ X615 @ X613)|(~(X614 @ X615)|(in @ X615 @ (dsetconstr @ X613 @ X614))))&((~(in @ X618 @ (dsetconstr @ X616 @ X617))|(in @ X618 @ X616))&((~(in @ X621 @ (dsetconstr @ X619 @ X620))|(X620 @ X621))&(((((X622 @ (esk12_1 @ X622))|((X622 @ (esk11_2 @ X622 @ X623))|~(X622 @ X623)))&(~(X622 @ X626)|((esk12_1 @ X622)=(X626))|((X622 @ (esk11_2 @ X622 @ X623))|~(X622 @ X623))))&(((X622 @ (esk12_1 @ X622))|(((X623)!=(esk11_2 @ X622 @ X623))|~(X622 @ X623)))&(~(X622 @ X626)|((esk12_1 @ X622)=(X626))|(((X623)!=(esk11_2 @ X622 @ X623))|~(X622 @ X623)))))&((~(in @ X628 @ (prop2set @ ((X627))))|(X627))&((~(in @ X629 @ emptyset)|(X630))&((~(in @ X631 @ emptyset)|~($true))&(~(in @ X632 @ emptyset)&((((X633 @ (esk13_2 @ X633 @ X634))|~(X633 @ X634)|(X633 @ (esk14_1 @ X633)))&(((X634)!=(esk13_2 @ X633 @ X634))|~(X633 @ X634)|(X633 @ (esk14_1 @ X633))))&(((((in @ (esk16_2 @ X637 @ X638) @ X638)|((X637)=(X638))|(in @ (esk15_2 @ X637 @ X638) @ X637))&(~(in @ (esk16_2 @ X637 @ X638) @ X637)|((X637)=(X638))|(in @ (esk15_2 @ X637 @ X638) @ X637)))&(((in @ (esk16_2 @ X637 @ X638) @ X638)|((X637)=(X638))|~(in @ (esk15_2 @ X637 @ X638) @ X638))&(~(in @ (esk16_2 @ X637 @ X638) @ X637)|((X637)=(X638))|~(in @ (esk15_2 @ X637 @ X638) @ X638))))&(((in @ (esk17_1 @ X641) @ X641)|((X641)=(emptyset)))&(((in @ (esk18_1 @ X643) @ X643)|((X643)=(emptyset)))&(((~(in @ X647 @ (dsetconstr @ X645 @ X646))|(X646 @ X647)|~(in @ X647 @ X645))&(~(X646 @ X647)|(in @ X647 @ (dsetconstr @ X645 @ X646))|~(in @ X647 @ X645)))&((((X648)=(emptyset))|(in @ (esk19_1 @ X648) @ X648))&((~(in @ X652 @ X650)|(~(X651 @ X652)|((dsetconstr @ X650 @ X651)!=(emptyset))))&((~(in @ X654 @ X653)|((X653)!=(emptyset)))&((in @ X655 @ (setadjoin @ X655 @ X656))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X659 @ X658)|(in @ X659 @ (setadjoin @ X657 @ X658)))&(((((in @ X662 @ X661)|(X663)|((X662)=(X660))|~(in @ X662 @ (setadjoin @ X660 @ X661)))&(~(X663)|(X663)|((X662)=(X660))|~(in @ X662 @ (setadjoin @ X660 @ X661))))&(((in @ X662 @ X661)|(X663)|~(X663)|~(in @ X662 @ (setadjoin @ X660 @ X661)))&(~(X663)|(X663)|~(X663)|~(in @ X662 @ (setadjoin @ X660 @ X661)))))&((~(in @ X666 @ (setadjoin @ X664 @ X665))|(((X666)=(X664))|(in @ X666 @ X665)))&(((dsetconstr @ X667 @ (^[Z0:$i]:($true)))=(X667))&((((in @ (esk20_2 @ X668 @ X669) @ X669)|(in @ X669 @ (powerset @ X668)))&(~(in @ (esk20_2 @ X668 @ X669) @ X668)|(in @ X669 @ (powerset @ X668))))&((in @ emptyset @ (powerset @ X671))&((in @ emptyset @ (powerset @ X672))&((~(in @ X674 @ (powerset @ X673))|(~(in @ X675 @ X674)|(in @ X675 @ X673)))&((~(in @ X677 @ X678)|(~(in @ X678 @ X676)|(in @ X677 @ (setunion @ X676))))&((((in @ X680 @ (esk21_3 @ X679 @ X680 @ X681))|(X681)|~(in @ X680 @ (setunion @ X679)))&(((in @ (esk21_3 @ X679 @ X680 @ X681) @ X679)|(X681)|~(in @ X680 @ (setunion @ X679)))&(~(X681)|(X681)|~(in @ X680 @ (setunion @ X679)))))&((~(in @ X684 @ X683)|(in @ X684 @ (powerset @ (setunion @ X683))))&((((~(X685 @ X689)|((X689)=(esk23_1 @ X685))|((X685 @ (esk22_2 @ X685 @ X686))|~(X685 @ X686)))&(((X690)!=(esk23_1 @ X685))|(X685 @ X690)|((X685 @ (esk22_2 @ X685 @ X686))|~(X685 @ X686))))&((~(X685 @ X689)|((X689)=(esk23_1 @ X685))|(((X686)!=(esk22_2 @ X685 @ X686))|~(X685 @ X686)))&(((X690)!=(esk23_1 @ X685))|(X685 @ X690)|(((X686)!=(esk22_2 @ X685 @ X686))|~(X685 @ X686)))))&((((in @ (esk24_1 @ X691) @ X691)|((X691)=(emptyset)))&(($true)|((X691)=(emptyset))))&((~(in @ X693 @ (setadjoin @ X694 @ emptyset))|((X693)=(X694)))&((((X695)=(X696))|~(in @ X696 @ (setadjoin @ X695 @ emptyset)))&((((X697)!=(X698))|(in @ X697 @ (setadjoin @ X698 @ emptyset)))&((~(in @ X699 @ (setadjoin @ X700 @ emptyset))|(in @ X700 @ (setadjoin @ X699 @ emptyset)))&((~(in @ X703 @ (setadjoin @ X701 @ (setadjoin @ X702 @ emptyset)))|(((X703)=(X701))|((X703)=(X702))))&((in @ X704 @ (setadjoin @ X704 @ (setadjoin @ X705 @ emptyset)))&((in @ X707 @ (setadjoin @ X706 @ (setadjoin @ X707 @ emptyset)))&((~(in @ X710 @ X708)|~(X709 @ X710)|(((dsetconstr @ X708 @ X709)!=(emptyset))|~($true)))&((~(in @ X712 @ emptyset)|(X711 @ X712))&((((in @ (esk25_2 @ X713 @ X714) @ X713)|(~(in @ X715 @ X713)|(X714 @ X715)))&(~(X714 @ (esk25_2 @ X713 @ X714))|(~(in @ X715 @ X713)|(X714 @ X715))))&((((in @ (esk26_2 @ X717 @ X718) @ X717)|(~(in @ X720 @ X717)|~(X718 @ X720)))&((X718 @ (esk26_2 @ X717 @ X718))|(~(in @ X720 @ X717)|~(X718 @ X720))))&((((in @ (esk27_2 @ X721 @ X722) @ X721)|(~(in @ X724 @ X721)|~(X722 @ X724)))&((X722 @ (esk27_2 @ X721 @ X722))|(~(in @ X724 @ X721)|~(X722 @ X724))))&((((in @ (esk28_2 @ X725 @ X726) @ X725)|(~(in @ X727 @ X725)|(X726 @ X727)))&(~(X726 @ (esk28_2 @ X725 @ X726))|(~(in @ X727 @ X725)|(X726 @ X727))))&((~(X729)|(in @ emptyset @ (prop2set @ ((X729)))))&((~(X730)|(set2prop @ (prop2set @ ((X730)))))&((((in @ (esk29_2 @ X731 @ X732) @ X731)|(~(in @ X734 @ X731)|~(X732 @ X734)))&((X732 @ (esk29_2 @ X731 @ X732))|(~(in @ X734 @ X731)|~(X732 @ X734))))&((((in @ (esk30_2 @ X735 @ X736) @ X735)|(~(in @ X737 @ X735)|(X736 @ X737)))&(~(X736 @ (esk30_2 @ X735 @ X736))|(~(in @ X737 @ X735)|(X736 @ X737))))&(((((X739 @ (esk32_1 @ X739))|((X739 @ (esk31_2 @ X739 @ X740))|~(X739 @ X740)))&(~(X739 @ X743)|((esk32_1 @ X739)=(X743))|((X739 @ (esk31_2 @ X739 @ X740))|~(X739 @ X740))))&(((X739 @ (esk32_1 @ X739))|(((X740)!=(esk31_2 @ X739 @ X740))|~(X739 @ X740)))&(~(X739 @ X743)|((esk32_1 @ X739)=(X743))|(((X740)!=(esk31_2 @ X739 @ X740))|~(X739 @ X740)))))&(((((X744 @ (esk35_1 @ X744))|(X744 @ (esk33_1 @ X744))|~(X744 @ X745))&(~(X744 @ X749)|((esk35_1 @ X744)=(X749))|(X744 @ (esk33_1 @ X744))|~(X744 @ X745)))&((((X744 @ (esk35_1 @ X744))|(X744 @ (esk34_1 @ X744))|~(X744 @ X745))&(~(X744 @ X749)|((esk35_1 @ X744)=(X749))|(X744 @ (esk34_1 @ X744))|~(X744 @ X745)))&(((X744 @ (esk35_1 @ X744))|((esk33_1 @ X744)!=(esk34_1 @ X744))|~(X744 @ X745))&(~(X744 @ X749)|((esk35_1 @ X744)=(X749))|((esk33_1 @ X744)!=(esk34_1 @ X744))|~(X744 @ X745)))))&(((((X750 @ (esk37_1 @ X750))|(~(X750 @ (esk36_2 @ X750 @ X751))|((esk36_2 @ X750 @ X751)!=(X751))))&(~(X750 @ X754)|((esk37_1 @ X750)=(X754))|(~(X750 @ (esk36_2 @ X750 @ X751))|((esk36_2 @ X750 @ X751)!=(X751)))))&(((X750 @ (esk37_1 @ X750))|((X750 @ (esk36_2 @ X750 @ X751))|((esk36_2 @ X750 @ X751)=(X751))))&(~(X750 @ X754)|((esk37_1 @ X750)=(X754))|((X750 @ (esk36_2 @ X750 @ X751))|((esk36_2 @ X750 @ X751)=(X751))))))&((((X755)!=(X756))|(((X757)!=(X758))|(~(in @ X757 @ X755)|(in @ X758 @ X756))))&(((~(in @ X761 @ X759)|(in @ X762 @ X760)|((X761)!=(X762))|((X759)!=(X760)))&(~(in @ X762 @ X760)|(in @ X761 @ X759)|((X761)!=(X762))|((X759)!=(X760))))&((((X763 @ (esk38_2 @ X763 @ X764))|~(X763 @ X764)|(~(X763 @ X766)|(~(X763 @ X767)|((X766)=(X767)))))&(((X764)!=(esk38_2 @ X763 @ X764))|~(X763 @ X764)|(~(X763 @ X766)|(~(X763 @ X767)|((X766)=(X767))))))&(((((((X769 @ (esk42_2 @ X768 @ X769))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769)))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769))))&(((X769 @ (esk42_2 @ X768 @ X769))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769)))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769)))))&((((X768 @ (esk44_2 @ X768 @ X769))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769)))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769))))&(((X768 @ (esk44_2 @ X768 @ X769))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769)))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((esk39_2 @ X768 @ X769)=(esk40_2 @ X768 @ X769))))))&((((((X769 @ (esk42_2 @ X768 @ X769))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769))))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769)))))&(((X769 @ (esk42_2 @ X768 @ X769))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769))))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769))))))&((((X768 @ (esk44_2 @ X768 @ X769))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769))))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769)))))&(((X768 @ (esk44_2 @ X768 @ X769))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769))))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|(~(X768 @ (esk39_2 @ X768 @ X769))|~(X769 @ (esk40_2 @ X768 @ X769)))))))&(((((X769 @ (esk42_2 @ X768 @ X769))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769))))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|((X768 @ (esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769)))))&(((X769 @ (esk42_2 @ X768 @ X769))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769))))&(~(X769 @ X775)|((esk42_2 @ X768 @ X769)=(X775))|(((X772)!=(esk41_3 @ X768 @ X769 @ X772))|~(X768 @ X772))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769))))))&((((X768 @ (esk44_2 @ X768 @ X769))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769))))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|((X769 @ (esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769)))))&(((X768 @ (esk44_2 @ X768 @ X769))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769))))&(~(X768 @ X779)|((esk44_2 @ X768 @ X769)=(X779))|(((X776)!=(esk43_3 @ X768 @ X769 @ X776))|~(X769 @ X776))|((X768 @ (esk39_2 @ X768 @ X769))|(X769 @ (esk40_2 @ X768 @ X769)))))))))&(((emptyset)=(emptyset))&((((X780)!=(X781))|(((X782)!=(X783))|((setadjoin @ X780 @ X782)=(setadjoin @ X781 @ X783))))&((((X784)!=(X785))|((powerset @ X784)=(powerset @ X785)))&((((X786)!=(X787))|((setunion @ X786)=(setunion @ X787)))&(((omega)=(omega))&((((X788 @ (esk45_2 @ X788 @ X789))|~(X788 @ X789)|(~(X788 @ X791)|(~(X788 @ X792)|((X791)=(X792)))))&(((X789)!=(esk45_2 @ X788 @ X789))|~(X788 @ X789)|(~(X788 @ X791)|(~(X788 @ X792)|((X791)=(X792))))))&((((((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((esk46_2 @ X793 @ X794)=(esk47_2 @ X793 @ X794)))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((esk46_2 @ X793 @ X794)=(esk47_2 @ X793 @ X794))))&(((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((esk46_2 @ X793 @ X794)=(esk47_2 @ X793 @ X794)))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((esk46_2 @ X793 @ X794)=(esk47_2 @ X793 @ X794)))))&(((((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|(~(X793 @ (esk46_2 @ X793 @ X794))|~(X794 @ (esk47_2 @ X793 @ X794))))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|(~(X793 @ (esk46_2 @ X793 @ X794))|~(X794 @ (esk47_2 @ X793 @ X794)))))&(((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|(~(X793 @ (esk46_2 @ X793 @ X794))|~(X794 @ (esk47_2 @ X793 @ X794))))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|(~(X793 @ (esk46_2 @ X793 @ X794))|~(X794 @ (esk47_2 @ X793 @ X794))))))&((((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((X793 @ (esk46_2 @ X793 @ X794))|(X794 @ (esk47_2 @ X793 @ X794))))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|((X793 @ (esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((X793 @ (esk46_2 @ X793 @ X794))|(X794 @ (esk47_2 @ X793 @ X794)))))&(((X794 @ (esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((X793 @ (esk46_2 @ X793 @ X794))|(X794 @ (esk47_2 @ X793 @ X794))))&(((X799)!=(esk49_3 @ X793 @ X794 @ X799))|~(X794 @ X799)|((descr @ X793)=(descr @ X794))|(((X797)!=(esk48_3 @ X793 @ X794 @ X797))|~(X793 @ X797))|((X793 @ (esk46_2 @ X793 @ X794))|(X794 @ (esk47_2 @ X793 @ X794))))))))&((((in @ (esk50_4 @ X801 @ X802 @ X803 @ X804) @ X801)|((dsetconstr @ X801 @ X803)=(dsetconstr @ X802 @ X804))|((X801)!=(X802)))&(((in @ (esk51_4 @ X801 @ X802 @ X803 @ X804) @ X802)|((dsetconstr @ X801 @ X803)=(dsetconstr @ X802 @ X804))|((X801)!=(X802)))&((((esk50_4 @ X801 @ X802 @ X803 @ X804)=(esk51_4 @ X801 @ X802 @ X803 @ X804))|((dsetconstr @ X801 @ X803)=(dsetconstr @ X802 @ X804))|((X801)!=(X802)))&((~(X803 @ (esk50_4 @ X801 @ X802 @ X803 @ X804))|~(X804 @ (esk51_4 @ X801 @ X802 @ X803 @ X804))|((dsetconstr @ X801 @ X803)=(dsetconstr @ X802 @ X804))|((X801)!=(X802)))&((X803 @ (esk50_4 @ X801 @ X802 @ X803 @ X804))|(X804 @ (esk51_4 @ X801 @ X802 @ X803 @ X804))|((dsetconstr @ X801 @ X803)=(dsetconstr @ X802 @ X804))|((X801)!=(X802)))))))&((((in @ (esk52_2 @ X807 @ X808) @ X807)|(subset @ X807 @ X808))&(~(in @ (esk52_2 @ X807 @ X808) @ X808)|(subset @ X807 @ X808)))&((((X810)!=(X811))|(subset @ X811 @ X810))&((((X812)!=(X813))|(subset @ X812 @ X813))&((((in @ (esk53_2 @ X814 @ X815) @ X814)|(subset @ X814 @ X815))&(~(in @ (esk53_2 @ X814 @ X815) @ X815)|(subset @ X814 @ X815)))&((subset @ emptyset @ X817)&((~(subset @ X818 @ X819)|(~(in @ X820 @ X818)|(in @ X820 @ X819)))&((~(subset @ X821 @ X822)|((in @ X823 @ X822)|~(in @ X823 @ X821)))&((~(in @ X826 @ X824)|((in @ X826 @ X825)|~(subset @ X824 @ X825)))&(((subset @ X827 @ X828)|((X827)!=(X828)))&((~(in @ X831 @ X829)|((in @ X831 @ X830)|((X829)!=(X830))))&((subset @ X832 @ X832)&((~(subset @ X833 @ X834)|(~(subset @ X834 @ X835)|(subset @ X833 @ X835)))&((subset @ X837 @ (setadjoin @ X836 @ X837))&((~(subset @ X838 @ X840)|(subset @ X838 @ (setadjoin @ X839 @ X840)))&((~(subset @ X841 @ X842)|(in @ X841 @ (powerset @ X842)))&((subset @ esk54_0 @ esk55_0)&((subset @ esk55_0 @ esk54_0)&((esk54_0)!=(esk55_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_133])])])])])])])).
% 6.44/1.14  thf(c_0_135, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_134])).
% 6.44/1.14  thf(c_0_136, negated_conjecture, (subset @ esk55_0 @ esk54_0), inference(split_conjunct,[status(thm)],[c_0_134])).
% 6.44/1.14  thf(c_0_137, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk54_0)|~((in @ X2 @ esk55_0)))), inference(spm,[status(thm)],[c_0_135, c_0_136])).
% 6.44/1.14  thf(c_0_138, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk1_2 @ X2 @ X3) @ X2)|(in @ (esk1_2 @ X2 @ X3) @ X3)|((X2)=(X3)))), inference(split_conjunct,[status(thm)],[c_0_134])).
% 6.44/1.14  thf(c_0_139, negated_conjecture, ![X2:$i]:((((esk55_0)=(X2))|(in @ (esk1_2 @ esk55_0 @ X2) @ esk54_0)|(in @ (esk1_2 @ esk55_0 @ X2) @ X2))), inference(spm,[status(thm)],[c_0_137, c_0_138])).
% 6.44/1.14  thf(c_0_140, negated_conjecture, ((esk54_0)!=(esk55_0)), inference(split_conjunct,[status(thm)],[c_0_134])).
% 6.44/1.14  thf(c_0_141, negated_conjecture, ![X2:$i, X3:$i]:((((X2)=(X3))|~((in @ (esk1_2 @ X2 @ X3) @ X2))|~((in @ (esk1_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_134])).
% 6.44/1.14  thf(c_0_142, negated_conjecture, (in @ (esk1_2 @ esk55_0 @ esk54_0) @ esk54_0), inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_139]), c_0_140])).
% 6.44/1.14  thf(c_0_143, negated_conjecture, (subset @ esk54_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_134])).
% 6.44/1.14  thf(c_0_144, negated_conjecture, ~((in @ (esk1_2 @ esk55_0 @ esk54_0) @ esk55_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_142]), c_0_140])).
% 6.44/1.14  thf(c_0_145, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk55_0)|~((in @ X2 @ esk54_0)))), inference(spm,[status(thm)],[c_0_135, c_0_143])).
% 6.44/1.14  thf(c_0_146, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_145]), c_0_142])]), ['proof']).
% 6.44/1.14  % SZS output end CNFRefutation
% 6.44/1.14  % Parsed axioms                        : 198
% 6.44/1.14  % Removed by relevancy pruning/SinE    : 0
% 6.44/1.14  % Initial clauses                      : 308
% 6.44/1.14  % Removed in clause preprocessing      : 119
% 6.44/1.14  % Initial clauses in saturation        : 189
% 6.44/1.14  % Processed clauses                    : 1335
% 6.44/1.14  % ...of these trivial                  : 75
% 6.44/1.14  % ...subsumed                          : 429
% 6.44/1.14  % ...remaining for further processing  : 831
% 6.44/1.14  % Other redundant clauses eliminated   : 49
% 6.44/1.14  % Clauses deleted for lack of memory   : 0
% 6.44/1.14  % Backward-subsumed                    : 20
% 6.44/1.14  % Backward-rewritten                   : 25
% 6.44/1.14  % Generated clauses                    : 25764
% 6.44/1.14  % ...of the previous two non-redundant : 24385
% 6.44/1.14  % ...aggressively subsumed             : 0
% 6.44/1.14  % Contextual simplify-reflections      : 0
% 6.44/1.14  % Paramodulations                      : 25296
% 6.44/1.14  % Factorizations                       : 4
% 6.44/1.14  % NegExts                              : 0
% 6.44/1.14  % Equation resolutions                 : 49
% 6.44/1.14  % Disequality decompositions           : 0
% 6.44/1.14  % Total rewrite steps                  : 1701
% 6.44/1.14  % ...of those cached                   : 1458
% 6.44/1.14  % Propositional unsat checks           : 0
% 6.44/1.14  %    Propositional check models        : 0
% 6.44/1.14  %    Propositional check unsatisfiable : 0
% 6.44/1.14  %    Propositional clauses             : 0
% 6.44/1.14  %    Propositional clauses after purity: 0
% 6.44/1.14  %    Propositional unsat core size     : 0
% 6.44/1.14  %    Propositional preprocessing time  : 0.000
% 6.44/1.14  %    Propositional encoding time       : 0.000
% 6.44/1.14  %    Propositional solver time         : 0.000
% 6.44/1.14  %    Success case prop preproc time    : 0.000
% 6.44/1.14  %    Success case prop encoding time   : 0.000
% 6.44/1.14  %    Success case prop solver time     : 0.000
% 6.44/1.14  % Current number of processed clauses  : 608
% 6.44/1.14  %    Positive orientable unit clauses  : 150
% 6.44/1.14  %    Positive unorientable unit clauses: 0
% 6.44/1.14  %    Negative unit clauses             : 3
% 6.44/1.14  %    Non-unit-clauses                  : 455
% 6.44/1.14  % Current number of unprocessed clauses: 23353
% 6.44/1.14  % ...number of literals in the above   : 76774
% 6.44/1.14  % Current number of archived formulas  : 0
% 6.44/1.14  % Current number of archived clauses   : 210
% 6.44/1.14  % Clause-clause subsumption calls (NU) : 29033
% 6.44/1.14  % Rec. Clause-clause subsumption calls : 15635
% 6.44/1.14  % Non-unit clause-clause subsumptions  : 392
% 6.44/1.14  % Unit Clause-clause subsumption calls : 9655
% 6.44/1.14  % Rewrite failures with RHS unbound    : 0
% 6.44/1.14  % BW rewrite match attempts            : 111
% 6.44/1.14  % BW rewrite match successes           : 17
% 6.44/1.14  % Condensation attempts                : 0
% 6.44/1.14  % Condensation successes               : 0
% 6.44/1.14  % Termbank termtop insertions          : 1323691
% 6.44/1.14  % Search garbage collected termcells   : 10130
% 6.44/1.14  
% 6.44/1.14  % -------------------------------------------------
% 6.44/1.14  % User time                : 0.796 s
% 6.44/1.14  % System time              : 0.043 s
% 6.44/1.14  % Total time               : 0.839 s
% 6.44/1.14  % Maximum resident set size: 6132 pages
% 6.44/1.14  
% 6.44/1.14  % -------------------------------------------------
% 6.44/1.14  % User time                : 4.005 s
% 6.44/1.14  % System time              : 0.184 s
% 6.44/1.14  % Total time               : 4.188 s
% 6.44/1.14  % Maximum resident set size: 5120 pages
% 6.44/1.14  % E exiting
%------------------------------------------------------------------------------