%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU584^1 : 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 : n018.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 08:26:48 AM UTC 2026
% Result : Theorem 3.68s 0.83s
% Output : CNFRefutation 3.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU584^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 13:54:41 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.25 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p
% 3.68/0.83 % Version: 3.5.1-ho
% 3.68/0.83 % Preprocessing class: HSLMSLSSLLLCHFA.
% 3.68/0.83 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.68/0.83 % Starting ehoh_best5 with 300s (1) cores
% 3.68/0.83 % Starting almost_fo_3_lam with 300s (1) cores
% 3.68/0.83 % Starting new_bool_5 with 300s (1) cores
% 3.68/0.83 % Starting pre_casc_3 with 300s (1) cores
% 3.68/0.83 % Starting ho_unfolding_8 with 300s (1) cores
% 3.68/0.83 % Starting new_ho_10_cnf2 with 300s (1) cores
% 3.68/0.83 % Starting new_bool_3 with 300s (1) cores
% 3.68/0.83 % Starting new_ho_5 with 300s (1) cores
% 3.68/0.83 % ho_unfolding_8 with pid 111804 completed with status 0
% 3.68/0.83 % Result found by ho_unfolding_8
% 3.68/0.83 % Preprocessing class: HSLMSLSSLLLCHFA.
% 3.68/0.83 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.68/0.83 % Starting ehoh_best5 with 300s (1) cores
% 3.68/0.83 % Starting almost_fo_3_lam with 300s (1) cores
% 3.68/0.83 % Starting new_bool_5 with 300s (1) cores
% 3.68/0.83 % Starting pre_casc_3 with 300s (1) cores
% 3.68/0.83 % Starting ho_unfolding_8 with 300s (1) cores
% 3.68/0.83 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.68/0.83 % No SInE strategy applied
% 3.68/0.83 % Search class: HGHSM-FSLM31-MHFMMSBN
% 3.68/0.83 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 3.68/0.83 % Starting SubtermCWHack with 28s (1) cores
% 3.68/0.83 % SubtermCWHack with pid 111815 completed with status 0
% 3.68/0.83 % Result found by SubtermCWHack
% 3.68/0.83 % Preprocessing class: HSLMSLSSLLLCHFA.
% 3.68/0.83 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.68/0.83 % Starting ehoh_best5 with 300s (1) cores
% 3.68/0.83 % Starting almost_fo_3_lam with 300s (1) cores
% 3.68/0.83 % Starting new_bool_5 with 300s (1) cores
% 3.68/0.83 % Starting pre_casc_3 with 300s (1) cores
% 3.68/0.83 % Starting ho_unfolding_8 with 300s (1) cores
% 3.68/0.83 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.68/0.83 % No SInE strategy applied
% 3.68/0.83 % Search class: HGHSM-FSLM31-MHFMMSBN
% 3.68/0.83 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 3.68/0.83 % Starting SubtermCWHack with 28s (1) cores
% 3.68/0.83 % Preprocessing time : 0.003 s
% 3.68/0.83
% 3.68/0.83 % Proof found!
% 3.68/0.83 % SZS status Theorem
% 3.68/0.83 % SZS output start CNFRefutation
% 3.68/0.83 thf(decl_23, type, in: $i > $i > $o).
% 3.68/0.83 thf(decl_24, type, exu: ($i > $o) > $o).
% 3.68/0.83 thf(decl_25, type, setextAx: $o).
% 3.68/0.83 thf(decl_26, type, emptyset: $i).
% 3.68/0.83 thf(decl_27, type, emptysetAx: $o).
% 3.68/0.83 thf(decl_28, type, setadjoin: $i > $i > $i).
% 3.68/0.83 thf(decl_29, type, setadjoinAx: $o).
% 3.68/0.83 thf(decl_30, type, powerset: $i > $i).
% 3.68/0.83 thf(decl_31, type, powersetAx: $o).
% 3.68/0.83 thf(decl_32, type, setunion: $i > $i).
% 3.68/0.83 thf(decl_33, type, setunionAx: $o).
% 3.68/0.83 thf(decl_34, type, omega: $i).
% 3.68/0.83 thf(decl_35, type, omega0Ax: $o).
% 3.68/0.83 thf(decl_36, type, omegaSAx: $o).
% 3.68/0.83 thf(decl_37, type, omegaIndAx: $o).
% 3.68/0.83 thf(decl_38, type, replAx: $o).
% 3.68/0.83 thf(decl_39, type, foundationAx: $o).
% 3.68/0.83 thf(decl_40, type, wellorderingAx: $o).
% 3.68/0.83 thf(decl_41, type, descr: ($i > $o) > $i).
% 3.68/0.83 thf(decl_42, type, descrp: $o).
% 3.68/0.83 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 3.68/0.83 thf(decl_44, type, dsetconstrI: $o).
% 3.68/0.83 thf(decl_45, type, dsetconstrEL: $o).
% 3.68/0.83 thf(decl_46, type, dsetconstrER: $o).
% 3.68/0.83 thf(decl_47, type, exuE1: $o).
% 3.68/0.83 thf(decl_48, type, prop2set: $o > $i).
% 3.68/0.83 thf(decl_49, type, prop2setE: $o).
% 3.68/0.83 thf(decl_50, type, emptysetE: $o).
% 3.68/0.83 thf(decl_51, type, emptysetimpfalse: $o).
% 3.68/0.83 thf(decl_52, type, notinemptyset: $o).
% 3.68/0.83 thf(decl_53, type, exuE3e: $o).
% 3.68/0.83 thf(decl_54, type, setext: $o).
% 3.68/0.83 thf(decl_55, type, emptyI: $o).
% 3.68/0.83 thf(decl_56, type, noeltsimpempty: $o).
% 3.68/0.83 thf(decl_57, type, setbeta: $o).
% 3.68/0.83 thf(decl_58, type, nonempty: $i > $o).
% 3.68/0.83 thf(decl_59, type, nonemptyE1: $o).
% 3.68/0.83 thf(decl_60, type, nonemptyI: $o).
% 3.68/0.83 thf(decl_61, type, nonemptyI1: $o).
% 3.68/0.83 thf(decl_62, type, setadjoinIL: $o).
% 3.68/0.83 thf(decl_63, type, emptyinunitempty: $o).
% 3.68/0.83 thf(decl_64, type, setadjoinIR: $o).
% 3.68/0.83 thf(decl_65, type, setadjoinE: $o).
% 3.68/0.83 thf(decl_66, type, setadjoinOr: $o).
% 3.68/0.83 thf(decl_67, type, setoftrueEq: $o).
% 3.68/0.83 thf(decl_68, type, powersetI: $o).
% 3.68/0.83 thf(decl_69, type, emptyinPowerset: $o).
% 3.68/0.83 thf(decl_70, type, emptyInPowerset: $o).
% 3.68/0.83 thf(decl_71, type, powersetE: $o).
% 3.68/0.83 thf(decl_72, type, setunionI: $o).
% 3.68/0.83 thf(decl_73, type, setunionE: $o).
% 3.68/0.83 thf(decl_74, type, subPowSU: $o).
% 3.68/0.83 thf(decl_75, type, exuE2: $o).
% 3.68/0.83 thf(decl_76, type, nonemptyImpWitness: $o).
% 3.68/0.83 thf(decl_77, type, uniqinunit: $o).
% 3.68/0.83 thf(decl_78, type, notinsingleton: $o).
% 3.68/0.83 thf(decl_79, type, eqinunit: $o).
% 3.68/0.83 thf(decl_80, type, singletonsswitch: $o).
% 3.68/0.83 thf(decl_81, type, upairsetE: $o).
% 3.68/0.83 thf(decl_82, type, upairsetIL: $o).
% 3.68/0.83 thf(decl_83, type, upairsetIR: $o).
% 3.68/0.83 thf(decl_84, type, emptyE1: $o).
% 3.68/0.83 thf(decl_85, type, vacuousDall: $o).
% 3.68/0.83 thf(decl_86, type, quantDeMorgan1: $o).
% 3.68/0.83 thf(decl_87, type, quantDeMorgan2: $o).
% 3.68/0.83 thf(decl_88, type, quantDeMorgan3: $o).
% 3.68/0.83 thf(decl_89, type, quantDeMorgan4: $o).
% 3.68/0.83 thf(decl_90, type, prop2setI: $o).
% 3.68/0.83 thf(decl_91, type, set2prop: $i > $o).
% 3.68/0.83 thf(decl_92, type, prop2set2propI: $o).
% 3.68/0.83 thf(decl_93, type, notdexE: $o).
% 3.68/0.83 thf(decl_94, type, notdallE: $o).
% 3.68/0.83 thf(decl_95, type, exuI1: $o).
% 3.68/0.83 thf(decl_96, type, exuI3: $o).
% 3.68/0.83 thf(decl_97, type, exuI2: $o).
% 3.68/0.83 thf(decl_98, type, inCongP: $o).
% 3.68/0.83 thf(decl_99, type, in__Cong: $o).
% 3.68/0.83 thf(decl_100, type, exuE3u: $o).
% 3.68/0.83 thf(decl_101, type, exu__Cong: $o).
% 3.68/0.83 thf(decl_102, type, emptyset__Cong: $o).
% 3.68/0.83 thf(decl_103, type, setadjoin__Cong: $o).
% 3.68/0.83 thf(decl_104, type, powerset__Cong: $o).
% 3.68/0.83 thf(decl_105, type, setunion__Cong: $o).
% 3.68/0.83 thf(decl_106, type, omega__Cong: $o).
% 3.68/0.83 thf(decl_107, type, exuEu: $o).
% 3.68/0.83 thf(decl_108, type, descr__Cong: $o).
% 3.68/0.83 thf(decl_109, type, dsetconstr__Cong: $o).
% 3.68/0.83 thf(decl_110, type, subset: $i > $i > $o).
% 3.68/0.83 thf(decl_113, type, subsetI1: $o).
% 3.68/0.83 thf(decl_114, type, eqimpsubset2: $o).
% 3.68/0.83 thf(decl_115, type, eqimpsubset1: $o).
% 3.68/0.83 thf(decl_116, type, subsetI2: $o).
% 3.68/0.83 thf(decl_117, type, emptysetsubset: $o).
% 3.68/0.83 thf(decl_118, type, subsetE: $o).
% 3.68/0.83 thf(decl_119, type, subsetE2: $o).
% 3.68/0.83 thf(decl_120, type, notsubsetI: $o).
% 3.68/0.83 thf(decl_121, type, notequalI1: $o).
% 3.68/0.83 thf(decl_122, type, notequalI2: $o).
% 3.68/0.83 thf(decl_123, type, subsetRefl: $o).
% 3.68/0.83 thf(decl_124, type, subsetTrans: $o).
% 3.68/0.83 thf(decl_125, type, setadjoinSub: $o).
% 3.68/0.83 thf(decl_126, type, setadjoinSub2: $o).
% 3.68/0.83 thf(decl_127, type, subset2powerset: $o).
% 3.68/0.83 thf(decl_128, type, setextsub: $o).
% 3.68/0.83 thf(decl_129, type, subsetemptysetimpeq: $o).
% 3.68/0.83 thf(decl_130, type, powersetI1: $o).
% 3.68/0.83 thf(decl_131, type, powersetE1: $o).
% 3.68/0.83 thf(decl_132, type, inPowerset: $o).
% 3.68/0.83 thf(decl_133, type, powersetsubset: $o).
% 3.68/0.83 thf(decl_134, type, sepInPowerset: $o).
% 3.68/0.83 thf(decl_135, type, sepSubset: $o).
% 3.68/0.83 thf(decl_136, type, binunion: $i > $i > $i).
% 3.68/0.83 thf(decl_137, type, binunionIL: $o).
% 3.68/0.83 thf(decl_138, type, upairset2IR: $o).
% 3.68/0.83 thf(decl_139, type, epred1_0: $o).
% 3.68/0.83 thf(decl_140, type, esk1_2: $i > $i > $i).
% 3.68/0.83 thf(decl_141, type, esk2_2: $i > $i > $i).
% 3.68/0.83 thf(decl_142, type, esk3_2: $i > $i > $i).
% 3.68/0.83 thf(decl_143, type, esk4_1: $i > $i).
% 3.68/0.83 thf(decl_144, type, esk5_2: ($i > $i > $o) > $i > $i).
% 3.68/0.83 thf(decl_145, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 3.68/0.83 thf(decl_146, type, esk7_2: ($i > $i > $o) > $i > $i).
% 3.68/0.83 thf(decl_147, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 3.68/0.83 thf(decl_148, type, esk9_1: $i > $i).
% 3.68/0.83 thf(decl_149, type, esk10_2: ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_150, type, esk11_2: ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_151, type, esk12_1: ($i > $o) > $i).
% 3.68/0.83 thf(decl_152, type, esk13_2: ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_153, type, esk14_1: ($i > $o) > $i).
% 3.68/0.83 thf(decl_154, type, esk15_2: $i > $i > $i).
% 3.68/0.83 thf(decl_155, type, esk16_2: $i > $i > $i).
% 3.68/0.83 thf(decl_156, type, esk17_1: $i > $i).
% 3.68/0.83 thf(decl_157, type, esk18_1: $i > $i).
% 3.68/0.83 thf(decl_158, type, esk19_1: $i > $i).
% 3.68/0.83 thf(decl_159, type, esk20_2: $i > $i > $i).
% 3.68/0.83 thf(decl_160, type, esk21_3: $i > $i > $o > $i).
% 3.68/0.83 thf(decl_161, type, esk22_2: ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_162, type, esk23_1: ($i > $o) > $i).
% 3.68/0.83 thf(decl_163, type, esk24_1: $i > $i).
% 3.68/0.83 thf(decl_164, type, esk25_2: $i > ($i > $o) > $i).
% 3.68/0.83 thf(decl_165, type, esk26_2: $i > ($i > $o) > $i).
% 3.68/0.83 thf(decl_166, type, esk27_2: $i > ($i > $o) > $i).
% 3.68/0.83 thf(decl_167, type, esk28_2: $i > ($i > $o) > $i).
% 3.68/0.83 thf(decl_168, type, esk29_2: $i > ($i > $o) > $i).
% 3.68/0.83 thf(decl_169, type, esk30_2: $i > ($i > $o) > $i).
% 3.68/0.83 thf(decl_170, type, esk31_2: ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_171, type, esk32_1: ($i > $o) > $i).
% 3.68/0.83 thf(decl_172, type, esk33_1: ($i > $o) > $i).
% 3.68/0.83 thf(decl_173, type, esk34_1: ($i > $o) > $i).
% 3.68/0.83 thf(decl_174, type, esk35_1: ($i > $o) > $i).
% 3.68/0.83 thf(decl_175, type, esk36_2: ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_176, type, esk37_1: ($i > $o) > $i).
% 3.68/0.83 thf(decl_177, type, esk38_2: ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_178, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 3.68/0.83 thf(decl_179, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 3.68/0.83 thf(decl_180, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_181, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 3.68/0.83 thf(decl_182, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_183, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 3.68/0.83 thf(decl_184, type, esk45_2: ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_185, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 3.68/0.83 thf(decl_186, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 3.68/0.83 thf(decl_187, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_188, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 3.68/0.83 thf(decl_189, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 3.68/0.83 thf(decl_190, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 3.68/0.83 thf(decl_191, type, esk52_2: $i > $i > $i).
% 3.68/0.83 thf(decl_192, type, esk53_2: $i > $i > $i).
% 3.68/0.83 thf(decl_193, type, esk54_0: $i).
% 3.68/0.83 thf(decl_194, type, esk55_0: $i).
% 3.68/0.83 thf(decl_195, type, esk56_0: $i).
% 3.68/0.83 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', replAx)).
% 3.68/0.83 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', exu)).
% 3.68/0.83 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', descrp)).
% 3.68/0.83 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', exuE1)).
% 3.68/0.83 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', exuE3e)).
% 3.68/0.83 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', nonempty)).
% 3.68/0.83 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', nonemptyI)).
% 3.68/0.83 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', exuE2)).
% 3.68/0.83 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.GmhtanRFbF/E---3.1_111772.p', exuI1)).
% 3.68/0.83 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', exuI3)).
% 3.68/0.83 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', exuI2)).
% 3.68/0.83 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.GmhtanRFbF/E---3.1_111772.p', exuE3u)).
% 3.68/0.83 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', exu__Cong)).
% 3.68/0.83 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', exuEu)).
% 3.68/0.83 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', descr__Cong)).
% 3.68/0.83 thf(binunionIR, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', binunionIR)).
% 3.68/0.83 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', dsetconstrI)).
% 3.68/0.83 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', dsetconstrEL)).
% 3.68/0.83 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', dsetconstrER)).
% 3.68/0.83 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setbeta)).
% 3.68/0.83 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', nonemptyE1)).
% 3.68/0.83 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', nonemptyI1)).
% 3.68/0.83 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setoftrueEq)).
% 3.68/0.83 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', nonemptyImpWitness)).
% 3.68/0.83 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.GmhtanRFbF/E---3.1_111772.p', emptyE1)).
% 3.68/0.83 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', dsetconstr__Cong)).
% 3.68/0.83 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', sepInPowerset)).
% 3.68/0.83 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', sepSubset)).
% 3.68/0.83 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setextAx)).
% 3.68/0.83 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', emptysetAx)).
% 3.68/0.83 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setadjoinAx)).
% 3.68/0.83 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', powersetAx)).
% 3.68/0.83 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setunionAx)).
% 3.68/0.83 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', omega0Ax)).
% 3.68/0.83 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', omegaSAx)).
% 3.68/0.83 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', omegaIndAx)).
% 3.68/0.83 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', foundationAx)).
% 3.68/0.83 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.GmhtanRFbF/E---3.1_111772.p', wellorderingAx)).
% 3.68/0.83 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', prop2setE)).
% 3.68/0.83 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', emptysetE)).
% 3.68/0.83 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', emptysetimpfalse)).
% 3.68/0.83 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', notinemptyset)).
% 3.68/0.83 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setext)).
% 3.68/0.83 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', emptyI)).
% 3.68/0.83 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', noeltsimpempty)).
% 3.68/0.83 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setadjoinIL)).
% 3.68/0.83 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', emptyinunitempty)).
% 3.68/0.83 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setadjoinIR)).
% 3.68/0.83 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.GmhtanRFbF/E---3.1_111772.p', setadjoinE)).
% 3.68/0.83 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setadjoinOr)).
% 3.68/0.83 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', powersetI)).
% 3.68/0.83 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', emptyinPowerset)).
% 3.68/0.83 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', emptyInPowerset)).
% 3.68/0.83 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', powersetE)).
% 3.68/0.83 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setunionI)).
% 3.68/0.83 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.GmhtanRFbF/E---3.1_111772.p', setunionE)).
% 3.68/0.83 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', subPowSU)).
% 3.68/0.83 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', uniqinunit)).
% 3.68/0.83 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', notinsingleton)).
% 3.68/0.83 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', eqinunit)).
% 3.68/0.83 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', singletonsswitch)).
% 3.68/0.83 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', upairsetE)).
% 3.68/0.83 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', upairsetIL)).
% 3.68/0.83 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', upairsetIR)).
% 3.68/0.83 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', vacuousDall)).
% 3.68/0.83 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', quantDeMorgan1)).
% 3.68/0.83 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', quantDeMorgan2)).
% 3.68/0.83 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', quantDeMorgan3)).
% 3.68/0.83 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', quantDeMorgan4)).
% 3.68/0.83 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', prop2setI)).
% 3.68/0.83 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', prop2set2propI)).
% 3.68/0.83 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', notdexE)).
% 3.68/0.83 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', notdallE)).
% 3.68/0.83 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', inCongP)).
% 3.68/0.83 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', in__Cong)).
% 3.68/0.83 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', emptyset__Cong)).
% 3.68/0.83 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setadjoin__Cong)).
% 3.68/0.83 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', powerset__Cong)).
% 3.68/0.83 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setunion__Cong)).
% 3.68/0.83 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', omega__Cong)).
% 3.68/0.83 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', subsetI1)).
% 3.68/0.83 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', eqimpsubset2)).
% 3.68/0.83 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', eqimpsubset1)).
% 3.68/0.83 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', subsetI2)).
% 3.68/0.83 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', emptysetsubset)).
% 3.68/0.83 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', subsetE)).
% 3.68/0.83 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', subsetE2)).
% 3.68/0.83 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', notsubsetI)).
% 3.68/0.83 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', notequalI1)).
% 3.68/0.83 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', notequalI2)).
% 3.68/0.83 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', subsetRefl)).
% 3.68/0.83 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', subsetTrans)).
% 3.68/0.83 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setadjoinSub)).
% 3.68/0.83 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setadjoinSub2)).
% 3.68/0.83 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', subset2powerset)).
% 3.68/0.83 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', setextsub)).
% 3.68/0.83 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', subsetemptysetimpeq)).
% 3.68/0.83 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', powersetI1)).
% 3.68/0.83 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', powersetE1)).
% 3.68/0.83 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', inPowerset)).
% 3.68/0.83 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', powersetsubset)).
% 3.68/0.83 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', binunionIL)).
% 3.68/0.83 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', upairset2IR)).
% 3.68/0.83 thf(binunion, axiom, ((binunion)=(^[X2:$i, X3:$i]:(setunion @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GmhtanRFbF/E---3.1_111772.p', binunion)).
% 3.68/0.83 thf(c_0_104, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 3.68/0.83 thf(c_0_105, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 3.68/0.83 thf(c_0_106, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 3.68/0.83 thf(c_0_107, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 3.68/0.83 thf(c_0_108, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 3.68/0.83 thf(c_0_109, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 3.68/0.83 thf(c_0_110, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 3.68/0.83 thf(c_0_111, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 3.68/0.83 thf(c_0_112, 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])).
% 3.68/0.83 thf(c_0_113, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 3.68/0.83 thf(c_0_114, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 3.68/0.83 thf(c_0_115, 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])).
% 3.68/0.83 thf(c_0_116, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 3.68/0.83 thf(c_0_117, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 3.68/0.83 thf(c_0_118, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 3.68/0.83 thf(c_0_119, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[binunionIR])).
% 3.68/0.83 thf(c_0_120, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X289:$i]:(((((X6 @ X2 @ X289)))&(![X290:$i]:(((((X6 @ X2 @ X290)))=>(((X289)=(X290)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_104, c_0_105])).
% 3.68/0.83 thf(c_0_121, plain, ((descrp)=(![X1:$i > $o]:((((?[X291:$i]:(((((X1 @ X291)))&(![X292:$i]:(((((X1 @ X292)))=>(((X291)=(X292))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_106, c_0_105])).
% 3.68/0.83 thf(c_0_122, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 3.68/0.83 thf(c_0_123, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 3.68/0.83 thf(c_0_124, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 3.68/0.83 thf(c_0_125, plain, ((exuE1)=(![X1:$i > $o]:((((?[X293:$i]:(((((X1 @ X293)))&(![X294:$i]:(((((X1 @ X294)))=>(((X293)=(X294))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_107, c_0_105])).
% 3.68/0.83 thf(c_0_126, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X295:$i]:(((((X1 @ X295)))&(![X296:$i]:(((((X1 @ X296)))=>(((X295)=(X296))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_108, c_0_105])).
% 3.68/0.83 thf(c_0_127, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 3.68/0.83 thf(c_0_128, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_109])).
% 3.68/0.83 thf(c_0_129, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_110, c_0_109])).
% 3.68/0.83 thf(c_0_130, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_109])).
% 3.68/0.83 thf(c_0_131, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 3.68/0.83 thf(c_0_132, plain, ((exuE2)=(![X1:$i > $o]:((((?[X297:$i]:(((((X1 @ X297)))&(![X298:$i]:(((((X1 @ X298)))=>(((X297)=(X298))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_111, c_0_105])).
% 3.68/0.83 thf(c_0_133, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_109])).
% 3.68/0.83 thf(c_0_134, 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])).
% 3.68/0.83 thf(c_0_135, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X299:$i]:(((((X1 @ X299)))&(![X300:$i]:(((((X1 @ X300)))=>(((X299)=(X300)))))))))))))), inference(apply_def,[status(thm)],[c_0_112, c_0_105])).
% 3.68/0.83 thf(c_0_136, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X301:$i]:(((((X1 @ X301)))&(![X302:$i]:(((((X1 @ X302)))=>(((X301)=(X302)))))))))))))))), inference(apply_def,[status(thm)],[c_0_113, c_0_105])).
% 3.68/0.83 thf(c_0_137, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X303:$i]:(((((X1 @ X303)))&(![X304:$i]:(((((X1 @ X304)))=>(((X303)=(X304)))))))))))))), inference(apply_def,[status(thm)],[c_0_114, c_0_105])).
% 3.68/0.83 thf(c_0_138, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X305:$i]:(((((X1 @ X305)))&(![X306:$i]:(((((X1 @ X306)))=>(((X305)=(X306))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_115, c_0_105])).
% 3.68/0.83 thf(c_0_139, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X307:$i]:(((((X1 @ X307)))&(![X308:$i]:(((((X1 @ X308)))=>(((X307)=(X308))))))))))<=>((?[X309:$i]:(((((X17 @ X309)))&(![X310:$i]:(((((X17 @ X310)))=>(((X309)=(X310)))))))))))))))), inference(apply_def,[status(thm)],[c_0_116, c_0_105])).
% 3.68/0.83 thf(c_0_140, plain, ((exuEu)=(![X1:$i > $o]:((((?[X311:$i]:(((((X1 @ X311)))&(![X312:$i]:(((((X1 @ X312)))=>(((X311)=(X312))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_117, c_0_105])).
% 3.68/0.83 thf(c_0_141, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X313:$i]:(((((X1 @ X313)))&(![X314:$i]:(((((X1 @ X314)))=>(((X313)=(X314))))))))))=>((((?[X315:$i]:(((((X17 @ X315)))&(![X316:$i]:(((((X17 @ X316)))=>(((X315)=(X316))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_118, c_0_105])).
% 3.68/0.83 thf(c_0_142, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 3.68/0.83 thf(c_0_143, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 3.68/0.83 thf(c_0_144, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 3.68/0.83 thf(c_0_145, plain, ((epred1_0)<=>![X346:$i]:(?[X347:$i]:((((![X348:$i]:(((in @ X348 @ X347)=>![X349:$i]:(((in @ X349 @ X348)=>(in @ X349 @ X346)))))&![X350:$i, X351:$i]:((((in @ X350 @ X346)&(in @ X351 @ X346))=>(![X352:$i]:(((in @ X352 @ X347)=>((in @ X350 @ X352)<=>(in @ X351 @ X352))))=>((X350)=(X351))))))&![X353:$i, X354:$i]:((((in @ X353 @ X347)&(in @ X354 @ X347))=>(![X355:$i]:(((in @ X355 @ X353)=>(in @ X355 @ X354)))|![X356:$i]:(((in @ X356 @ X354)=>(in @ X356 @ X353)))))))&![X357:$i]:(((![X358:$i]:(((in @ X358 @ X357)=>(in @ X358 @ X346)))&?[X359:$i]:((in @ X359 @ X357)))=>?[X360:$i, X361:$i]:(((((in @ X360 @ X347)&(in @ X361 @ X357))&~(?[X362:$i]:(((in @ X362 @ X360)&(in @ X362 @ X357)))))&![X363:$i]:(((in @ X363 @ X347)=>(![X364:$i]:(((in @ X364 @ X363)=>(in @ X364 @ X360)))|(in @ X361 @ X363)))))))))))), introduced(definition)).
% 3.68/0.83 thf(c_0_146, negated_conjecture, ~((![X317:$i, X318:$i]:((![X319:$i]:(((in @ X319 @ X317)<=>(in @ X319 @ X318)))=>((X317)=(X318))))=>(![X320:$i]:(~(in @ X320 @ emptyset))=>(![X321:$i, X322:$i, X323:$i]:(((in @ X323 @ (setadjoin @ X321 @ X322))<=>(((X323)=(X321))|(in @ X323 @ X322))))=>(![X324:$i, X325:$i]:(((in @ X325 @ (powerset @ X324))<=>![X326:$i]:(((in @ X326 @ X325)=>(in @ X326 @ X324)))))=>(![X327:$i, X328:$i]:(((in @ X328 @ (setunion @ X327))<=>?[X329:$i]:(((in @ X328 @ X329)&(in @ X329 @ X327)))))=>((in @ emptyset @ omega)=>(![X330:$i]:(((in @ X330 @ omega)=>(in @ (setadjoin @ X330 @ X330) @ omega)))=>(![X331:$i]:((((in @ emptyset @ X331)&![X332:$i]:((((in @ X332 @ omega)&(in @ X332 @ X331))=>(in @ (setadjoin @ X332 @ X332) @ X331))))=>![X333:$i]:(((in @ X333 @ omega)=>(in @ X333 @ X331)))))=>(![X334:$i > $i > $o, X335:$i]:((![X336:$i]:(((in @ X336 @ X335)=>?[X337:$i]:(((X334 @ X336 @ X337)&![X338:$i]:(((X334 @ X336 @ X338)=>((X337)=(X338))))))))=>?[X339:$i]:(![X340:$i]:(((in @ X340 @ X339)<=>?[X341:$i]:(((in @ X341 @ X335)&(X334 @ X341 @ X340))))))))=>(![X342:$i]:((?[X343:$i]:((in @ X343 @ X342))=>?[X344:$i]:(((in @ X344 @ X342)&~(?[X345:$i]:(((in @ X345 @ X344)&(in @ X345 @ X342))))))))=>((epred1_0)=>(![X365:$i > $o]:((?[X366:$i]:(((X365 @ X366)&![X367:$i]:(((X365 @ X367)=>((X366)=(X367))))))=>(X365 @ (descr @ (^[Z0:$i]:(X365 @ Z0))))))=>(![X368:$i, X369:$i > $o, X370:$i]:(((in @ X370 @ X368)=>((X369 @ X370)=>(in @ X370 @ (dsetconstr @ X368 @ X369)))))=>(![X371:$i, X372:$i > $o, X373:$i]:(((in @ X373 @ (dsetconstr @ X371 @ X372))=>(in @ X373 @ X371)))=>(![X374:$i, X375:$i > $o, X376:$i]:(((in @ X376 @ (dsetconstr @ X374 @ X375))=>(X375 @ X376)))=>(![X377:$i > $o]:((?[X378:$i]:(((X377 @ X378)&![X379:$i]:(((X377 @ X379)=>((X378)=(X379))))))=>?[X380:$i]:(((X377 @ X380)&![X381:$i]:(((X377 @ X381)=>((X380)=(X381))))))))=>(![X382:$o, X383:$i]:(((in @ X383 @ (prop2set @ ((X382))))=>(X382)))=>(![X384:$i]:(((in @ X384 @ emptyset)=>![X385:$o]:((X385))))=>(![X386:$i]:(((in @ X386 @ emptyset)=>~($true)))=>(![X387:$i]:(~(in @ X387 @ emptyset))=>(![X388:$i > $o]:((?[X389:$i]:(((X388 @ X389)&![X390:$i]:(((X388 @ X390)=>((X389)=(X390))))))=>?[X391:$i]:((X388 @ X391))))=>(![X392:$i, X393:$i]:((![X394:$i]:(((in @ X394 @ X392)=>(in @ X394 @ X393)))=>(![X395:$i]:(((in @ X395 @ X393)=>(in @ X395 @ X392)))=>((X392)=(X393)))))=>(![X396:$i]:((![X397:$i]:(~(in @ X397 @ X396))=>((X396)=(emptyset))))=>(![X398:$i]:((![X399:$i]:(~(in @ X399 @ X398))=>((X398)=(emptyset))))=>(![X400:$i, X401:$i > $o, X402:$i]:(((in @ X402 @ X400)=>((in @ X402 @ (dsetconstr @ X400 @ X401))<=>(X401 @ X402))))=>(![X403:$i]:((((X403)!=(emptyset))=>?[X404:$i]:((in @ X404 @ X403))))=>(![X405:$i, X406:$i > $o, X407:$i]:(((in @ X407 @ X405)=>((X406 @ X407)=>((dsetconstr @ X405 @ X406)!=(emptyset)))))=>(![X408:$i]:((?[X409:$i]:((in @ X409 @ X408))=>((X408)!=(emptyset))))=>(![X410:$i, X411:$i]:((in @ X410 @ (setadjoin @ X410 @ X411)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X412:$i, X413:$i, X414:$i]:(((in @ X414 @ X413)=>(in @ X414 @ (setadjoin @ X412 @ X413))))=>(![X415:$i, X416:$i, X417:$i]:(((in @ X417 @ (setadjoin @ X415 @ X416))=>![X418:$o]:(((((X417)=(X415))=>(X418))=>(((in @ X417 @ X416)=>(X418))=>(X418))))))=>(![X419:$i, X420:$i, X421:$i]:(((in @ X421 @ (setadjoin @ X419 @ X420))=>(((X421)=(X419))|(in @ X421 @ X420))))=>(![X422:$i]:(((dsetconstr @ X422 @ (^[Z0:$i]:($true)))=(X422)))=>(![X423:$i, X424:$i]:((![X425:$i]:(((in @ X425 @ X424)=>(in @ X425 @ X423)))=>(in @ X424 @ (powerset @ X423))))=>(![X426:$i]:((in @ emptyset @ (powerset @ X426)))=>(![X427:$i]:((in @ emptyset @ (powerset @ X427)))=>(![X428:$i, X429:$i, X430:$i]:(((in @ X429 @ (powerset @ X428))=>((in @ X430 @ X429)=>(in @ X430 @ X428))))=>(![X431:$i, X432:$i, X433:$i]:(((in @ X432 @ X433)=>((in @ X433 @ X431)=>(in @ X432 @ (setunion @ X431)))))=>(![X434:$i, X435:$i]:(((in @ X435 @ (setunion @ X434))=>![X436:$o]:((![X437:$i]:(((in @ X435 @ X437)=>((in @ X437 @ X434)=>(X436))))=>(X436)))))=>(![X438:$i, X439:$i]:(((in @ X439 @ X438)=>(in @ X439 @ (powerset @ (setunion @ X438)))))=>(![X440:$i > $o]:((?[X441:$i]:(((X440 @ X441)&![X442:$i]:(((X440 @ X442)=>((X441)=(X442))))))=>?[X443:$i]:(![X444:$i]:(((X440 @ X444)<=>((X444)=(X443)))))))=>(![X445:$i]:((((X445)!=(emptyset))=>?[X446:$i]:(((in @ X446 @ X445)&$true))))=>(![X447:$i, X448:$i]:(((in @ X447 @ (setadjoin @ X448 @ emptyset))=>((X447)=(X448))))=>(![X449:$i, X450:$i]:((((X449)!=(X450))=>~(in @ X450 @ (setadjoin @ X449 @ emptyset))))=>(![X451:$i, X452:$i]:((((X451)=(X452))=>(in @ X451 @ (setadjoin @ X452 @ emptyset))))=>(![X453:$i, X454:$i]:(((in @ X453 @ (setadjoin @ X454 @ emptyset))=>(in @ X454 @ (setadjoin @ X453 @ emptyset))))=>(![X455:$i, X456:$i, X457:$i]:(((in @ X457 @ (setadjoin @ X455 @ (setadjoin @ X456 @ emptyset)))=>(((X457)=(X455))|((X457)=(X456)))))=>(![X458:$i, X459:$i]:((in @ X458 @ (setadjoin @ X458 @ (setadjoin @ X459 @ emptyset))))=>(![X460:$i, X461:$i]:((in @ X461 @ (setadjoin @ X460 @ (setadjoin @ X461 @ emptyset))))=>(![X462:$i, X463:$i > $o]:((?[X464:$i]:(((in @ X464 @ X462)&(X463 @ X464)))=>(((dsetconstr @ X462 @ X463)=(emptyset))=>~($true))))=>(![X465:$i > $o, X466:$i]:(((in @ X466 @ emptyset)=>(X465 @ X466)))=>(![X467:$i, X468:$i > $o]:((~(![X469:$i]:(((in @ X469 @ X467)=>(X468 @ X469))))=>?[X470:$i]:(((in @ X470 @ X467)&~((X468 @ X470))))))=>(![X471:$i, X472:$i > $o]:((![X473:$i]:(((in @ X473 @ X471)=>~((X472 @ X473))))=>~(?[X474:$i]:(((in @ X474 @ X471)&(X472 @ X474))))))=>(![X475:$i, X476:$i > $o]:((~(?[X477:$i]:(((in @ X477 @ X475)&(X476 @ X477))))=>![X478:$i]:(((in @ X478 @ X475)=>~((X476 @ X478))))))=>(![X479:$i, X480:$i > $o]:((?[X481:$i]:(((in @ X481 @ X479)&~((X480 @ X481))))=>~(![X482:$i]:(((in @ X482 @ X479)=>(X480 @ X482))))))=>(![X483:$o]:(((X483)=>(in @ emptyset @ (prop2set @ ((X483))))))=>(![X484:$o]:(((X484)=>(set2prop @ (prop2set @ ((X484))))))=>(![X485:$i, X486:$i > $o]:((~(?[X487:$i]:(((in @ X487 @ X485)&(X486 @ X487))))=>![X488:$i]:(((in @ X488 @ X485)=>~((X486 @ X488))))))=>(![X489:$i, X490:$i > $o]:((~(![X491:$i]:(((in @ X491 @ X489)=>(X490 @ X491))))=>?[X492:$i]:(((in @ X492 @ X489)&~((X490 @ X492))))))=>(![X493:$i > $o]:((?[X494:$i]:(((X493 @ X494)&![X495:$i]:(((X493 @ X495)=>((X494)=(X495))))))=>?[X496:$i]:(((X493 @ X496)&![X497:$i]:(((X493 @ X497)=>((X496)=(X497))))))))=>(![X498:$i > $o]:((?[X499:$i]:((X498 @ X499))=>(![X500:$i, X501:$i]:(((X498 @ X500)=>((X498 @ X501)=>((X500)=(X501)))))=>?[X502:$i]:(((X498 @ X502)&![X503:$i]:(((X498 @ X503)=>((X502)=(X503)))))))))=>(![X504:$i > $o]:((?[X505:$i]:(![X506:$i]:(((X504 @ X506)<=>((X506)=(X505)))))=>?[X507:$i]:(((X504 @ X507)&![X508:$i]:(((X504 @ X508)=>((X507)=(X508))))))))=>(![X509:$i, X510:$i]:((((X509)=(X510))=>![X511:$i, X512:$i]:((((X511)=(X512))=>((in @ X511 @ X509)=>(in @ X512 @ X510))))))=>(![X513:$i, X514:$i]:((((X513)=(X514))=>![X515:$i, X516:$i]:((((X515)=(X516))=>((in @ X515 @ X513)<=>(in @ X516 @ X514))))))=>(![X517:$i > $o]:((?[X518:$i]:(((X517 @ X518)&![X519:$i]:(((X517 @ X519)=>((X518)=(X519))))))=>![X520:$i, X521:$i]:(((X517 @ X520)=>((X517 @ X521)=>((X520)=(X521)))))))=>(![X522:$i > $o, X523:$i > $o]:((![X524:$i, X525:$i]:((((X524)=(X525))=>((X522 @ X524)<=>(X523 @ X525))))=>(?[X526:$i]:(((X522 @ X526)&![X527:$i]:(((X522 @ X527)=>((X526)=(X527))))))<=>?[X528:$i]:(((X523 @ X528)&![X529:$i]:(((X523 @ X529)=>((X528)=(X529)))))))))=>(((emptyset)=(emptyset))=>(![X530:$i, X531:$i]:((((X530)=(X531))=>![X532:$i, X533:$i]:((((X532)=(X533))=>((setadjoin @ X530 @ X532)=(setadjoin @ X531 @ X533))))))=>(![X534:$i, X535:$i]:((((X534)=(X535))=>((powerset @ X534)=(powerset @ X535))))=>(![X536:$i, X537:$i]:((((X536)=(X537))=>((setunion @ X536)=(setunion @ X537))))=>(((omega)=(omega))=>(![X538:$i > $o]:((?[X539:$i]:(((X538 @ X539)&![X540:$i]:(((X538 @ X540)=>((X539)=(X540))))))=>![X541:$i, X542:$i]:(((X538 @ X541)=>((X538 @ X542)=>((X541)=(X542)))))))=>(![X543:$i > $o, X544:$i > $o]:((![X545:$i, X546:$i]:((((X545)=(X546))=>((X543 @ X545)<=>(X544 @ X546))))=>(?[X547:$i]:(((X543 @ X547)&![X548:$i]:(((X543 @ X548)=>((X547)=(X548))))))=>(?[X549:$i]:(((X544 @ X549)&![X550:$i]:(((X544 @ X550)=>((X549)=(X550))))))=>((descr @ X543)=(descr @ X544))))))=>(![X551:$i, X552:$i]:((((X551)=(X552))=>![X553:$i > $o, X554:$i > $o]:((![X555:$i]:(((in @ X555 @ X551)=>![X556:$i]:(((in @ X556 @ X552)=>(((X555)=(X556))=>((X553 @ X555)<=>(X554 @ X556)))))))=>((dsetconstr @ X551 @ X553)=(dsetconstr @ X552 @ X554))))))=>(![X557:$i, X558:$i]:((![X559:$i]:(((in @ X559 @ X557)=>(in @ X559 @ X558)))=>(subset @ X557 @ X558)))=>(![X560:$i, X561:$i]:((((X560)=(X561))=>(subset @ X561 @ X560)))=>(![X562:$i, X563:$i]:((((X562)=(X563))=>(subset @ X562 @ X563)))=>(![X564:$i, X565:$i]:((![X566:$i]:(((in @ X566 @ X564)=>(in @ X566 @ X565)))=>(subset @ X564 @ X565)))=>(![X567:$i]:((subset @ emptyset @ X567))=>(![X568:$i, X569:$i, X570:$i]:(((subset @ X568 @ X569)=>((in @ X570 @ X568)=>(in @ X570 @ X569))))=>(![X571:$i, X572:$i, X573:$i]:(((subset @ X571 @ X572)=>(~(in @ X573 @ X572)=>~(in @ X573 @ X571))))=>(![X574:$i, X575:$i, X576:$i]:(((in @ X576 @ X574)=>(~(in @ X576 @ X575)=>~(subset @ X574 @ X575))))=>(![X577:$i, X578:$i]:((~(subset @ X577 @ X578)=>((X577)!=(X578))))=>(![X579:$i, X580:$i, X581:$i]:(((in @ X581 @ X579)=>(~(in @ X581 @ X580)=>((X579)!=(X580)))))=>(![X582:$i]:((subset @ X582 @ X582))=>(![X583:$i, X584:$i, X585:$i]:(((subset @ X583 @ X584)=>((subset @ X584 @ X585)=>(subset @ X583 @ X585))))=>(![X586:$i, X587:$i]:((subset @ X587 @ (setadjoin @ X586 @ X587)))=>(![X588:$i, X589:$i, X590:$i]:(((subset @ X588 @ X590)=>(subset @ X588 @ (setadjoin @ X589 @ X590))))=>(![X591:$i, X592:$i]:(((subset @ X591 @ X592)=>(in @ X591 @ (powerset @ X592))))=>(![X593:$i, X594:$i]:(((subset @ X593 @ X594)=>((subset @ X594 @ X593)=>((X593)=(X594)))))=>(![X595:$i]:(((subset @ X595 @ emptyset)=>((X595)=(emptyset))))=>(![X596:$i, X597:$i]:(((subset @ X597 @ X596)=>(in @ X597 @ (powerset @ X596))))=>(![X598:$i, X599:$i]:(((in @ X599 @ (powerset @ X598))=>(subset @ X599 @ X598)))=>(![X600:$i]:((in @ X600 @ (powerset @ X600)))=>(![X601:$i, X602:$i]:(((subset @ X601 @ X602)=>(subset @ (powerset @ X601) @ (powerset @ X602))))=>(![X603:$i, X604:$i > $o]:((in @ (dsetconstr @ X603 @ X604) @ (powerset @ X603)))=>(![X605:$i, X606:$i > $o]:((subset @ (dsetconstr @ X605 @ X606) @ X605))=>(![X607:$i, X608:$i, X609:$i]:(((in @ X609 @ X607)=>(in @ X609 @ (binunion @ X607 @ X608))))=>(![X610:$i, X611:$i]:((in @ X611 @ (setadjoin @ X610 @ (setadjoin @ X611 @ emptyset))))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_119, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_120]), foundationAx]), wellorderingAx]), c_0_121]), c_0_122]), c_0_123]), c_0_124]), c_0_125]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_126]), setext]), emptyI]), noeltsimpempty]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_131]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_132]), c_0_133]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_134]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_135]), c_0_136]), c_0_137]), inCongP]), in__Cong]), c_0_138]), c_0_139]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_140]), c_0_141]), c_0_142]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_143]), c_0_144]), binunionIL]), upairset2IR])])]), c_0_145])).
% 3.68/0.83 thf(c_0_147, plain, ![X612:$i, X613:$i]:(((binunion @ X612 @ X613)=(setunion @ (setadjoin @ X612 @ (setadjoin @ X613 @ emptyset))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[binunion])])).
% 3.68/0.83 thf(c_0_148, negated_conjecture, ![X616:$i, X617:$i, X619:$i, X620:$i, X621:$i, X622:$i, X623:$i, X624:$i, X625:$i, X626:$i, X627:$i, X629:$i, X630:$i, X632:$i, X633:$i, X634:$i, X635:$i, X636:$i, X638:$i, X639:$i > $i > $o, X640:$i, X642:$i, X645:$i, X647:$i, X648:$i, X649:$i, X650:$i, X652:$i, X653:$i > $o, X654:$i, X656:$i, X657:$i > $o, X658:$i, X659:$i, X660:$i > $o, X661:$i, X662:$i, X663:$i > $o, X664:$i, X665:$i > $o, X666:$i, X669:$i, X670:$o, X671:$i, X672:$i, X673:$o, X674:$i, X675:$i, X676:$i > $o, X677:$i, X680:$i, X681:$i, X684:$i, X686:$i, X688:$i, X689:$i > $o, X690:$i, X691:$i, X693:$i, X694:$i > $o, X695:$i, X696:$i, X697:$i, X698:$i, X699:$i, X700:$i, X701:$i, X702:$i, X703:$i, X704:$i, X705:$i, X706:$o, X707:$i, X708:$i, X709:$i, X710:$i, X711:$i, X712:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$i, X723:$i, X724:$o, X726:$i, X727:$i, X728:$i > $o, X729:$i, X732:$i, X733:$i, X734:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i, X742:$i, X743:$i, X744:$i, X745:$i, X746:$i, X747:$i, X748:$i, X749:$i, X750:$i, X751:$i, X752:$i > $o, X753:$i, X754:$i > $o, X755:$i, X756:$i, X757:$i > $o, X758:$i, X760:$i, X761:$i > $o, X763:$i, X764:$i, X765:$i > $o, X767:$i, X768:$i, X769:$i > $o, X770:$i, X772:$o, X773:$o, X774:$i, X775:$i > $o, X777:$i, X778:$i, X779:$i > $o, X780:$i, X782:$i > $o, X783:$i, X786:$i, X787:$i > $o, X788:$i, X792:$i, X793:$i > $o, X794:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i > $o, X807:$i, X809:$i, X810:$i, X811:$i > $o, X812:$i > $o, X815:$i, X818:$i, X819:$i, X822:$i, X823:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i > $o, X832:$i, X834:$i, X835:$i, X836:$i > $o, X837:$i > $o, X840:$i, X842:$i, X844:$i, X845:$i, X846:$i > $o, X847:$i > $o, X850:$i, X851:$i, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$i, X865:$i, X866:$i, X867:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i, X895:$i, X896:$i, X897:$i > $o, X898:$i, X899:$i > $o, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i]:((((~(in @ (esk1_2 @ X616 @ X617) @ X616)|~(in @ (esk1_2 @ X616 @ X617) @ X617)|((X616)=(X617)))&((in @ (esk1_2 @ X616 @ X617) @ X616)|(in @ (esk1_2 @ X616 @ X617) @ X617)|((X616)=(X617))))&(~(in @ X619 @ emptyset)&(((~(in @ X622 @ (setadjoin @ X620 @ X621))|(((X622)=(X620))|(in @ X622 @ X621)))&((((X622)!=(X620))|(in @ X622 @ (setadjoin @ X620 @ X621)))&(~(in @ X622 @ X621)|(in @ X622 @ (setadjoin @ X620 @ X621)))))&(((~(in @ X624 @ (powerset @ X623))|(~(in @ X625 @ X624)|(in @ X625 @ X623)))&(((in @ (esk2_2 @ X626 @ X627) @ X627)|(in @ X627 @ (powerset @ X626)))&(~(in @ (esk2_2 @ X626 @ X627) @ X626)|(in @ X627 @ (powerset @ X626)))))&(((((in @ X630 @ (esk3_2 @ X629 @ X630))|~(in @ X630 @ (setunion @ X629)))&((in @ (esk3_2 @ X629 @ X630) @ X629)|~(in @ X630 @ (setunion @ X629))))&(~(in @ X633 @ X634)|~(in @ X634 @ X632)|(in @ X633 @ (setunion @ X632))))&((in @ emptyset @ omega)&((~(in @ X635 @ omega)|(in @ (setadjoin @ X635 @ X635) @ omega))&(((((in @ (esk4_1 @ X636) @ omega)|~(in @ emptyset @ X636)|(~(in @ X638 @ omega)|(in @ X638 @ X636)))&((in @ (esk4_1 @ X636) @ X636)|~(in @ emptyset @ X636)|(~(in @ X638 @ omega)|(in @ X638 @ X636))))&(~(in @ (setadjoin @ (esk4_1 @ X636) @ (esk4_1 @ X636)) @ X636)|~(in @ emptyset @ X636)|(~(in @ X638 @ omega)|(in @ X638 @ X636))))&((((((in @ (esk8_3 @ X639 @ X640 @ X645) @ X640)|~(in @ X645 @ (esk7_2 @ X639 @ X640))|(in @ (esk5_2 @ X639 @ X640) @ X640))&((X639 @ (esk8_3 @ X639 @ X640 @ X645) @ X645)|~(in @ X645 @ (esk7_2 @ X639 @ X640))|(in @ (esk5_2 @ X639 @ X640) @ X640)))&(~(in @ X648 @ X640)|~(X639 @ X648 @ X647)|(in @ X647 @ (esk7_2 @ X639 @ X640))|(in @ (esk5_2 @ X639 @ X640) @ X640)))&(((((in @ (esk8_3 @ X639 @ X640 @ X645) @ X640)|~(in @ X645 @ (esk7_2 @ X639 @ X640))|((X639 @ (esk5_2 @ X639 @ X640) @ (esk6_3 @ X639 @ X640 @ X642))|~(X639 @ (esk5_2 @ X639 @ X640) @ X642)))&((X639 @ (esk8_3 @ X639 @ X640 @ X645) @ X645)|~(in @ X645 @ (esk7_2 @ X639 @ X640))|((X639 @ (esk5_2 @ X639 @ X640) @ (esk6_3 @ X639 @ X640 @ X642))|~(X639 @ (esk5_2 @ X639 @ X640) @ X642))))&(~(in @ X648 @ X640)|~(X639 @ X648 @ X647)|(in @ X647 @ (esk7_2 @ X639 @ X640))|((X639 @ (esk5_2 @ X639 @ X640) @ (esk6_3 @ X639 @ X640 @ X642))|~(X639 @ (esk5_2 @ X639 @ X640) @ X642))))&((((in @ (esk8_3 @ X639 @ X640 @ X645) @ X640)|~(in @ X645 @ (esk7_2 @ X639 @ X640))|(((X642)!=(esk6_3 @ X639 @ X640 @ X642))|~(X639 @ (esk5_2 @ X639 @ X640) @ X642)))&((X639 @ (esk8_3 @ X639 @ X640 @ X645) @ X645)|~(in @ X645 @ (esk7_2 @ X639 @ X640))|(((X642)!=(esk6_3 @ X639 @ X640 @ X642))|~(X639 @ (esk5_2 @ X639 @ X640) @ X642))))&(~(in @ X648 @ X640)|~(X639 @ X648 @ X647)|(in @ X647 @ (esk7_2 @ X639 @ X640))|(((X642)!=(esk6_3 @ X639 @ X640 @ X642))|~(X639 @ (esk5_2 @ X639 @ X640) @ X642))))))&((((in @ (esk9_1 @ X649) @ X649)|~(in @ X650 @ X649))&(~(in @ X652 @ (esk9_1 @ X649))|~(in @ X652 @ X649)|~(in @ X650 @ X649)))&((epred1_0)&((((X653 @ (esk10_2 @ X653 @ X654))|~(X653 @ X654)|(X653 @ (descr @ X653)))&(((X654)!=(esk10_2 @ X653 @ X654))|~(X653 @ X654)|(X653 @ (descr @ X653))))&((~(in @ X658 @ X656)|(~(X657 @ X658)|(in @ X658 @ (dsetconstr @ X656 @ X657))))&((~(in @ X661 @ (dsetconstr @ X659 @ X660))|(in @ X661 @ X659))&((~(in @ X664 @ (dsetconstr @ X662 @ X663))|(X663 @ X664))&(((((X665 @ (esk12_1 @ X665))|((X665 @ (esk11_2 @ X665 @ X666))|~(X665 @ X666)))&(~(X665 @ X669)|((esk12_1 @ X665)=(X669))|((X665 @ (esk11_2 @ X665 @ X666))|~(X665 @ X666))))&(((X665 @ (esk12_1 @ X665))|(((X666)!=(esk11_2 @ X665 @ X666))|~(X665 @ X666)))&(~(X665 @ X669)|((esk12_1 @ X665)=(X669))|(((X666)!=(esk11_2 @ X665 @ X666))|~(X665 @ X666)))))&((~(in @ X671 @ (prop2set @ ((X670))))|(X670))&((~(in @ X672 @ emptyset)|(X673))&((~(in @ X674 @ emptyset)|~($true))&(~(in @ X675 @ emptyset)&((((X676 @ (esk13_2 @ X676 @ X677))|~(X676 @ X677)|(X676 @ (esk14_1 @ X676)))&(((X677)!=(esk13_2 @ X676 @ X677))|~(X676 @ X677)|(X676 @ (esk14_1 @ X676))))&(((((in @ (esk16_2 @ X680 @ X681) @ X681)|((X680)=(X681))|(in @ (esk15_2 @ X680 @ X681) @ X680))&(~(in @ (esk16_2 @ X680 @ X681) @ X680)|((X680)=(X681))|(in @ (esk15_2 @ X680 @ X681) @ X680)))&(((in @ (esk16_2 @ X680 @ X681) @ X681)|((X680)=(X681))|~(in @ (esk15_2 @ X680 @ X681) @ X681))&(~(in @ (esk16_2 @ X680 @ X681) @ X680)|((X680)=(X681))|~(in @ (esk15_2 @ X680 @ X681) @ X681))))&(((in @ (esk17_1 @ X684) @ X684)|((X684)=(emptyset)))&(((in @ (esk18_1 @ X686) @ X686)|((X686)=(emptyset)))&(((~(in @ X690 @ (dsetconstr @ X688 @ X689))|(X689 @ X690)|~(in @ X690 @ X688))&(~(X689 @ X690)|(in @ X690 @ (dsetconstr @ X688 @ X689))|~(in @ X690 @ X688)))&((((X691)=(emptyset))|(in @ (esk19_1 @ X691) @ X691))&((~(in @ X695 @ X693)|(~(X694 @ X695)|((dsetconstr @ X693 @ X694)!=(emptyset))))&((~(in @ X697 @ X696)|((X696)!=(emptyset)))&((in @ X698 @ (setadjoin @ X698 @ X699))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X702 @ X701)|(in @ X702 @ (setadjoin @ X700 @ X701)))&(((((in @ X705 @ X704)|(X706)|((X705)=(X703))|~(in @ X705 @ (setadjoin @ X703 @ X704)))&(~(X706)|(X706)|((X705)=(X703))|~(in @ X705 @ (setadjoin @ X703 @ X704))))&(((in @ X705 @ X704)|(X706)|~(X706)|~(in @ X705 @ (setadjoin @ X703 @ X704)))&(~(X706)|(X706)|~(X706)|~(in @ X705 @ (setadjoin @ X703 @ X704)))))&((~(in @ X709 @ (setadjoin @ X707 @ X708))|(((X709)=(X707))|(in @ X709 @ X708)))&(((dsetconstr @ X710 @ (^[Z0:$i]:($true)))=(X710))&((((in @ (esk20_2 @ X711 @ X712) @ X712)|(in @ X712 @ (powerset @ X711)))&(~(in @ (esk20_2 @ X711 @ X712) @ X711)|(in @ X712 @ (powerset @ X711))))&((in @ emptyset @ (powerset @ X714))&((in @ emptyset @ (powerset @ X715))&((~(in @ X717 @ (powerset @ X716))|(~(in @ X718 @ X717)|(in @ X718 @ X716)))&((~(in @ X720 @ X721)|(~(in @ X721 @ X719)|(in @ X720 @ (setunion @ X719))))&((((in @ X723 @ (esk21_3 @ X722 @ X723 @ X724))|(X724)|~(in @ X723 @ (setunion @ X722)))&(((in @ (esk21_3 @ X722 @ X723 @ X724) @ X722)|(X724)|~(in @ X723 @ (setunion @ X722)))&(~(X724)|(X724)|~(in @ X723 @ (setunion @ X722)))))&((~(in @ X727 @ X726)|(in @ X727 @ (powerset @ (setunion @ X726))))&((((~(X728 @ X732)|((X732)=(esk23_1 @ X728))|((X728 @ (esk22_2 @ X728 @ X729))|~(X728 @ X729)))&(((X733)!=(esk23_1 @ X728))|(X728 @ X733)|((X728 @ (esk22_2 @ X728 @ X729))|~(X728 @ X729))))&((~(X728 @ X732)|((X732)=(esk23_1 @ X728))|(((X729)!=(esk22_2 @ X728 @ X729))|~(X728 @ X729)))&(((X733)!=(esk23_1 @ X728))|(X728 @ X733)|(((X729)!=(esk22_2 @ X728 @ X729))|~(X728 @ X729)))))&((((in @ (esk24_1 @ X734) @ X734)|((X734)=(emptyset)))&(($true)|((X734)=(emptyset))))&((~(in @ X736 @ (setadjoin @ X737 @ emptyset))|((X736)=(X737)))&((((X738)=(X739))|~(in @ X739 @ (setadjoin @ X738 @ emptyset)))&((((X740)!=(X741))|(in @ X740 @ (setadjoin @ X741 @ emptyset)))&((~(in @ X742 @ (setadjoin @ X743 @ emptyset))|(in @ X743 @ (setadjoin @ X742 @ emptyset)))&((~(in @ X746 @ (setadjoin @ X744 @ (setadjoin @ X745 @ emptyset)))|(((X746)=(X744))|((X746)=(X745))))&((in @ X747 @ (setadjoin @ X747 @ (setadjoin @ X748 @ emptyset)))&((in @ X750 @ (setadjoin @ X749 @ (setadjoin @ X750 @ emptyset)))&((~(in @ X753 @ X751)|~(X752 @ X753)|(((dsetconstr @ X751 @ X752)!=(emptyset))|~($true)))&((~(in @ X755 @ emptyset)|(X754 @ X755))&((((in @ (esk25_2 @ X756 @ X757) @ X756)|(~(in @ X758 @ X756)|(X757 @ X758)))&(~(X757 @ (esk25_2 @ X756 @ X757))|(~(in @ X758 @ X756)|(X757 @ X758))))&((((in @ (esk26_2 @ X760 @ X761) @ X760)|(~(in @ X763 @ X760)|~(X761 @ X763)))&((X761 @ (esk26_2 @ X760 @ X761))|(~(in @ X763 @ X760)|~(X761 @ X763))))&((((in @ (esk27_2 @ X764 @ X765) @ X764)|(~(in @ X767 @ X764)|~(X765 @ X767)))&((X765 @ (esk27_2 @ X764 @ X765))|(~(in @ X767 @ X764)|~(X765 @ X767))))&((((in @ (esk28_2 @ X768 @ X769) @ X768)|(~(in @ X770 @ X768)|(X769 @ X770)))&(~(X769 @ (esk28_2 @ X768 @ X769))|(~(in @ X770 @ X768)|(X769 @ X770))))&((~(X772)|(in @ emptyset @ (prop2set @ ((X772)))))&((~(X773)|(set2prop @ (prop2set @ ((X773)))))&((((in @ (esk29_2 @ X774 @ X775) @ X774)|(~(in @ X777 @ X774)|~(X775 @ X777)))&((X775 @ (esk29_2 @ X774 @ X775))|(~(in @ X777 @ X774)|~(X775 @ X777))))&((((in @ (esk30_2 @ X778 @ X779) @ X778)|(~(in @ X780 @ X778)|(X779 @ X780)))&(~(X779 @ (esk30_2 @ X778 @ X779))|(~(in @ X780 @ X778)|(X779 @ X780))))&(((((X782 @ (esk32_1 @ X782))|((X782 @ (esk31_2 @ X782 @ X783))|~(X782 @ X783)))&(~(X782 @ X786)|((esk32_1 @ X782)=(X786))|((X782 @ (esk31_2 @ X782 @ X783))|~(X782 @ X783))))&(((X782 @ (esk32_1 @ X782))|(((X783)!=(esk31_2 @ X782 @ X783))|~(X782 @ X783)))&(~(X782 @ X786)|((esk32_1 @ X782)=(X786))|(((X783)!=(esk31_2 @ X782 @ X783))|~(X782 @ X783)))))&(((((X787 @ (esk35_1 @ X787))|(X787 @ (esk33_1 @ X787))|~(X787 @ X788))&(~(X787 @ X792)|((esk35_1 @ X787)=(X792))|(X787 @ (esk33_1 @ X787))|~(X787 @ X788)))&((((X787 @ (esk35_1 @ X787))|(X787 @ (esk34_1 @ X787))|~(X787 @ X788))&(~(X787 @ X792)|((esk35_1 @ X787)=(X792))|(X787 @ (esk34_1 @ X787))|~(X787 @ X788)))&(((X787 @ (esk35_1 @ X787))|((esk33_1 @ X787)!=(esk34_1 @ X787))|~(X787 @ X788))&(~(X787 @ X792)|((esk35_1 @ X787)=(X792))|((esk33_1 @ X787)!=(esk34_1 @ X787))|~(X787 @ X788)))))&(((((X793 @ (esk37_1 @ X793))|(~(X793 @ (esk36_2 @ X793 @ X794))|((esk36_2 @ X793 @ X794)!=(X794))))&(~(X793 @ X797)|((esk37_1 @ X793)=(X797))|(~(X793 @ (esk36_2 @ X793 @ X794))|((esk36_2 @ X793 @ X794)!=(X794)))))&(((X793 @ (esk37_1 @ X793))|((X793 @ (esk36_2 @ X793 @ X794))|((esk36_2 @ X793 @ X794)=(X794))))&(~(X793 @ X797)|((esk37_1 @ X793)=(X797))|((X793 @ (esk36_2 @ X793 @ X794))|((esk36_2 @ X793 @ X794)=(X794))))))&((((X798)!=(X799))|(((X800)!=(X801))|(~(in @ X800 @ X798)|(in @ X801 @ X799))))&(((~(in @ X804 @ X802)|(in @ X805 @ X803)|((X804)!=(X805))|((X802)!=(X803)))&(~(in @ X805 @ X803)|(in @ X804 @ X802)|((X804)!=(X805))|((X802)!=(X803))))&((((X806 @ (esk38_2 @ X806 @ X807))|~(X806 @ X807)|(~(X806 @ X809)|(~(X806 @ X810)|((X809)=(X810)))))&(((X807)!=(esk38_2 @ X806 @ X807))|~(X806 @ X807)|(~(X806 @ X809)|(~(X806 @ X810)|((X809)=(X810))))))&(((((((X812 @ (esk42_2 @ X811 @ X812))|((X811 @ (esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|((esk39_2 @ X811 @ X812)=(esk40_2 @ X811 @ X812)))&(~(X812 @ X818)|((esk42_2 @ X811 @ X812)=(X818))|((X811 @ (esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|((esk39_2 @ X811 @ X812)=(esk40_2 @ X811 @ X812))))&(((X812 @ (esk42_2 @ X811 @ X812))|(((X815)!=(esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|((esk39_2 @ X811 @ X812)=(esk40_2 @ X811 @ X812)))&(~(X812 @ X818)|((esk42_2 @ X811 @ X812)=(X818))|(((X815)!=(esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|((esk39_2 @ X811 @ X812)=(esk40_2 @ X811 @ X812)))))&((((X811 @ (esk44_2 @ X811 @ X812))|((X812 @ (esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|((esk39_2 @ X811 @ X812)=(esk40_2 @ X811 @ X812)))&(~(X811 @ X822)|((esk44_2 @ X811 @ X812)=(X822))|((X812 @ (esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|((esk39_2 @ X811 @ X812)=(esk40_2 @ X811 @ X812))))&(((X811 @ (esk44_2 @ X811 @ X812))|(((X819)!=(esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|((esk39_2 @ X811 @ X812)=(esk40_2 @ X811 @ X812)))&(~(X811 @ X822)|((esk44_2 @ X811 @ X812)=(X822))|(((X819)!=(esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|((esk39_2 @ X811 @ X812)=(esk40_2 @ X811 @ X812))))))&((((((X812 @ (esk42_2 @ X811 @ X812))|((X811 @ (esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|(~(X811 @ (esk39_2 @ X811 @ X812))|~(X812 @ (esk40_2 @ X811 @ X812))))&(~(X812 @ X818)|((esk42_2 @ X811 @ X812)=(X818))|((X811 @ (esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|(~(X811 @ (esk39_2 @ X811 @ X812))|~(X812 @ (esk40_2 @ X811 @ X812)))))&(((X812 @ (esk42_2 @ X811 @ X812))|(((X815)!=(esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|(~(X811 @ (esk39_2 @ X811 @ X812))|~(X812 @ (esk40_2 @ X811 @ X812))))&(~(X812 @ X818)|((esk42_2 @ X811 @ X812)=(X818))|(((X815)!=(esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|(~(X811 @ (esk39_2 @ X811 @ X812))|~(X812 @ (esk40_2 @ X811 @ X812))))))&((((X811 @ (esk44_2 @ X811 @ X812))|((X812 @ (esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|(~(X811 @ (esk39_2 @ X811 @ X812))|~(X812 @ (esk40_2 @ X811 @ X812))))&(~(X811 @ X822)|((esk44_2 @ X811 @ X812)=(X822))|((X812 @ (esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|(~(X811 @ (esk39_2 @ X811 @ X812))|~(X812 @ (esk40_2 @ X811 @ X812)))))&(((X811 @ (esk44_2 @ X811 @ X812))|(((X819)!=(esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|(~(X811 @ (esk39_2 @ X811 @ X812))|~(X812 @ (esk40_2 @ X811 @ X812))))&(~(X811 @ X822)|((esk44_2 @ X811 @ X812)=(X822))|(((X819)!=(esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|(~(X811 @ (esk39_2 @ X811 @ X812))|~(X812 @ (esk40_2 @ X811 @ X812)))))))&(((((X812 @ (esk42_2 @ X811 @ X812))|((X811 @ (esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|((X811 @ (esk39_2 @ X811 @ X812))|(X812 @ (esk40_2 @ X811 @ X812))))&(~(X812 @ X818)|((esk42_2 @ X811 @ X812)=(X818))|((X811 @ (esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|((X811 @ (esk39_2 @ X811 @ X812))|(X812 @ (esk40_2 @ X811 @ X812)))))&(((X812 @ (esk42_2 @ X811 @ X812))|(((X815)!=(esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|((X811 @ (esk39_2 @ X811 @ X812))|(X812 @ (esk40_2 @ X811 @ X812))))&(~(X812 @ X818)|((esk42_2 @ X811 @ X812)=(X818))|(((X815)!=(esk41_3 @ X811 @ X812 @ X815))|~(X811 @ X815))|((X811 @ (esk39_2 @ X811 @ X812))|(X812 @ (esk40_2 @ X811 @ X812))))))&((((X811 @ (esk44_2 @ X811 @ X812))|((X812 @ (esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|((X811 @ (esk39_2 @ X811 @ X812))|(X812 @ (esk40_2 @ X811 @ X812))))&(~(X811 @ X822)|((esk44_2 @ X811 @ X812)=(X822))|((X812 @ (esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|((X811 @ (esk39_2 @ X811 @ X812))|(X812 @ (esk40_2 @ X811 @ X812)))))&(((X811 @ (esk44_2 @ X811 @ X812))|(((X819)!=(esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|((X811 @ (esk39_2 @ X811 @ X812))|(X812 @ (esk40_2 @ X811 @ X812))))&(~(X811 @ X822)|((esk44_2 @ X811 @ X812)=(X822))|(((X819)!=(esk43_3 @ X811 @ X812 @ X819))|~(X812 @ X819))|((X811 @ (esk39_2 @ X811 @ X812))|(X812 @ (esk40_2 @ X811 @ X812)))))))))&(((emptyset)=(emptyset))&((((X823)!=(X824))|(((X825)!=(X826))|((setadjoin @ X823 @ X825)=(setadjoin @ X824 @ X826))))&((((X827)!=(X828))|((powerset @ X827)=(powerset @ X828)))&((((X829)!=(X830))|((setunion @ X829)=(setunion @ X830)))&(((omega)=(omega))&((((X831 @ (esk45_2 @ X831 @ X832))|~(X831 @ X832)|(~(X831 @ X834)|(~(X831 @ X835)|((X834)=(X835)))))&(((X832)!=(esk45_2 @ X831 @ X832))|~(X831 @ X832)|(~(X831 @ X834)|(~(X831 @ X835)|((X834)=(X835))))))&((((((X837 @ (esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|((X836 @ (esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|((esk46_2 @ X836 @ X837)=(esk47_2 @ X836 @ X837)))&(((X842)!=(esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|((X836 @ (esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|((esk46_2 @ X836 @ X837)=(esk47_2 @ X836 @ X837))))&(((X837 @ (esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|(((X840)!=(esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|((esk46_2 @ X836 @ X837)=(esk47_2 @ X836 @ X837)))&(((X842)!=(esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|(((X840)!=(esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|((esk46_2 @ X836 @ X837)=(esk47_2 @ X836 @ X837)))))&(((((X837 @ (esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|((X836 @ (esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|(~(X836 @ (esk46_2 @ X836 @ X837))|~(X837 @ (esk47_2 @ X836 @ X837))))&(((X842)!=(esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|((X836 @ (esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|(~(X836 @ (esk46_2 @ X836 @ X837))|~(X837 @ (esk47_2 @ X836 @ X837)))))&(((X837 @ (esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|(((X840)!=(esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|(~(X836 @ (esk46_2 @ X836 @ X837))|~(X837 @ (esk47_2 @ X836 @ X837))))&(((X842)!=(esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|(((X840)!=(esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|(~(X836 @ (esk46_2 @ X836 @ X837))|~(X837 @ (esk47_2 @ X836 @ X837))))))&((((X837 @ (esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|((X836 @ (esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|((X836 @ (esk46_2 @ X836 @ X837))|(X837 @ (esk47_2 @ X836 @ X837))))&(((X842)!=(esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|((X836 @ (esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|((X836 @ (esk46_2 @ X836 @ X837))|(X837 @ (esk47_2 @ X836 @ X837)))))&(((X837 @ (esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|(((X840)!=(esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|((X836 @ (esk46_2 @ X836 @ X837))|(X837 @ (esk47_2 @ X836 @ X837))))&(((X842)!=(esk49_3 @ X836 @ X837 @ X842))|~(X837 @ X842)|((descr @ X836)=(descr @ X837))|(((X840)!=(esk48_3 @ X836 @ X837 @ X840))|~(X836 @ X840))|((X836 @ (esk46_2 @ X836 @ X837))|(X837 @ (esk47_2 @ X836 @ X837))))))))&((((in @ (esk50_4 @ X844 @ X845 @ X846 @ X847) @ X844)|((dsetconstr @ X844 @ X846)=(dsetconstr @ X845 @ X847))|((X844)!=(X845)))&(((in @ (esk51_4 @ X844 @ X845 @ X846 @ X847) @ X845)|((dsetconstr @ X844 @ X846)=(dsetconstr @ X845 @ X847))|((X844)!=(X845)))&((((esk50_4 @ X844 @ X845 @ X846 @ X847)=(esk51_4 @ X844 @ X845 @ X846 @ X847))|((dsetconstr @ X844 @ X846)=(dsetconstr @ X845 @ X847))|((X844)!=(X845)))&((~(X846 @ (esk50_4 @ X844 @ X845 @ X846 @ X847))|~(X847 @ (esk51_4 @ X844 @ X845 @ X846 @ X847))|((dsetconstr @ X844 @ X846)=(dsetconstr @ X845 @ X847))|((X844)!=(X845)))&((X846 @ (esk50_4 @ X844 @ X845 @ X846 @ X847))|(X847 @ (esk51_4 @ X844 @ X845 @ X846 @ X847))|((dsetconstr @ X844 @ X846)=(dsetconstr @ X845 @ X847))|((X844)!=(X845)))))))&((((in @ (esk52_2 @ X850 @ X851) @ X850)|(subset @ X850 @ X851))&(~(in @ (esk52_2 @ X850 @ X851) @ X851)|(subset @ X850 @ X851)))&((((X853)!=(X854))|(subset @ X854 @ X853))&((((X855)!=(X856))|(subset @ X855 @ X856))&((((in @ (esk53_2 @ X857 @ X858) @ X857)|(subset @ X857 @ X858))&(~(in @ (esk53_2 @ X857 @ X858) @ X858)|(subset @ X857 @ X858)))&((subset @ emptyset @ X860)&((~(subset @ X861 @ X862)|(~(in @ X863 @ X861)|(in @ X863 @ X862)))&((~(subset @ X864 @ X865)|((in @ X866 @ X865)|~(in @ X866 @ X864)))&((~(in @ X869 @ X867)|((in @ X869 @ X868)|~(subset @ X867 @ X868)))&(((subset @ X870 @ X871)|((X870)!=(X871)))&((~(in @ X874 @ X872)|((in @ X874 @ X873)|((X872)!=(X873))))&((subset @ X875 @ X875)&((~(subset @ X876 @ X877)|(~(subset @ X877 @ X878)|(subset @ X876 @ X878)))&((subset @ X880 @ (setadjoin @ X879 @ X880))&((~(subset @ X881 @ X883)|(subset @ X881 @ (setadjoin @ X882 @ X883)))&((~(subset @ X884 @ X885)|(in @ X884 @ (powerset @ X885)))&((~(subset @ X886 @ X887)|(~(subset @ X887 @ X886)|((X886)=(X887))))&((~(subset @ X888 @ emptyset)|((X888)=(emptyset)))&((~(subset @ X890 @ X889)|(in @ X890 @ (powerset @ X889)))&((~(in @ X892 @ (powerset @ X891))|(subset @ X892 @ X891))&((in @ X893 @ (powerset @ X893))&((~(subset @ X894 @ X895)|(subset @ (powerset @ X894) @ (powerset @ X895)))&((in @ (dsetconstr @ X896 @ X897) @ (powerset @ X896))&((subset @ (dsetconstr @ X898 @ X899) @ X898)&((~(in @ X902 @ X900)|(in @ X902 @ (binunion @ X900 @ X901)))&((in @ X904 @ (setadjoin @ X903 @ (setadjoin @ X904 @ emptyset)))&((in @ esk56_0 @ esk55_0)&~(in @ esk56_0 @ (binunion @ 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_146])])])])])])])).
% 3.68/0.83 thf(c_0_149, plain, ![X614:$i, X615:$i]:(((binunion @ X614 @ X615)=(setunion @ (setadjoin @ X614 @ (setadjoin @ X615 @ emptyset))))), inference(variable_rename,[status(thm)],[c_0_147])).
% 3.68/0.83 thf(c_0_150, negated_conjecture, ~((in @ esk56_0 @ (binunion @ esk54_0 @ esk55_0))), inference(split_conjunct,[status(thm)],[c_0_148])).
% 3.68/0.83 thf(c_0_151, plain, ![X2:$i, X3:$i]:(((binunion @ X2 @ X3)=(setunion @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_149])).
% 3.68/0.83 thf(c_0_152, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ (setunion @ X4))|~((in @ X2 @ X3))|~((in @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_148])).
% 3.68/0.83 thf(c_0_153, negated_conjecture, ![X3:$i, X2:$i]:((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_148])).
% 3.68/0.83 thf(c_0_154, negated_conjecture, ~((in @ esk56_0 @ (setunion @ (setadjoin @ esk54_0 @ (setadjoin @ esk55_0 @ emptyset))))), inference(rw,[status(thm)],[c_0_150, c_0_151])).
% 3.68/0.83 thf(c_0_155, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ (setunion @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset))))|~((in @ X2 @ X4)))), inference(spm,[status(thm)],[c_0_152, c_0_153])).
% 3.68/0.83 thf(c_0_156, negated_conjecture, (in @ esk56_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_148])).
% 3.68/0.83 thf(c_0_157, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_155]), c_0_156])]), ['proof']).
% 3.68/0.83 % SZS output end CNFRefutation
% 3.68/0.83 % Parsed axioms : 220
% 3.68/0.83 % Removed by relevancy pruning/SinE : 0
% 3.68/0.83 % Initial clauses : 329
% 3.68/0.83 % Removed in clause preprocessing : 131
% 3.68/0.83 % Initial clauses in saturation : 198
% 3.68/0.83 % Processed clauses : 3157
% 3.68/0.83 % ...of these trivial : 14
% 3.68/0.83 % ...subsumed : 2232
% 3.68/0.83 % ...remaining for further processing : 911
% 3.68/0.83 % Other redundant clauses eliminated : 15
% 3.68/0.83 % Clauses deleted for lack of memory : 0
% 3.68/0.83 % Backward-subsumed : 26
% 3.68/0.83 % Backward-rewritten : 7
% 3.68/0.83 % Generated clauses : 46762
% 3.68/0.83 % ...of the previous two non-redundant : 44151
% 3.68/0.83 % ...aggressively subsumed : 0
% 3.68/0.83 % Contextual simplify-reflections : 4
% 3.68/0.83 % Paramodulations : 46745
% 3.68/0.83 % Factorizations : 2
% 3.68/0.83 % NegExts : 0
% 3.68/0.83 % Equation resolutions : 15
% 3.68/0.83 % Disequality decompositions : 0
% 3.68/0.83 % Total rewrite steps : 4353
% 3.68/0.83 % ...of those cached : 4107
% 3.68/0.83 % Propositional unsat checks : 0
% 3.68/0.83 % Propositional check models : 0
% 3.68/0.83 % Propositional check unsatisfiable : 0
% 3.68/0.83 % Propositional clauses : 0
% 3.68/0.83 % Propositional clauses after purity: 0
% 3.68/0.83 % Propositional unsat core size : 0
% 3.68/0.83 % Propositional preprocessing time : 0.000
% 3.68/0.83 % Propositional encoding time : 0.000
% 3.68/0.83 % Propositional solver time : 0.000
% 3.68/0.83 % Success case prop preproc time : 0.000
% 3.68/0.83 % Success case prop encoding time : 0.000
% 3.68/0.83 % Success case prop solver time : 0.000
% 3.68/0.83 % Current number of processed clauses : 865
% 3.68/0.83 % Positive orientable unit clauses : 101
% 3.68/0.83 % Positive unorientable unit clauses: 0
% 3.68/0.83 % Negative unit clauses : 7
% 3.68/0.83 % Non-unit-clauses : 757
% 3.68/0.83 % Current number of unprocessed clauses: 41006
% 3.68/0.83 % ...number of literals in the above : 134841
% 3.68/0.83 % Current number of archived formulas : 0
% 3.68/0.83 % Current number of archived clauses : 34
% 3.68/0.83 % Clause-clause subsumption calls (NU) : 76031
% 3.68/0.83 % Rec. Clause-clause subsumption calls : 52446
% 3.68/0.83 % Non-unit clause-clause subsumptions : 2010
% 3.68/0.83 % Unit Clause-clause subsumption calls : 2273
% 3.68/0.83 % Rewrite failures with RHS unbound : 0
% 3.68/0.83 % BW rewrite match attempts : 124
% 3.68/0.83 % BW rewrite match successes : 5
% 3.68/0.83 % Condensation attempts : 0
% 3.68/0.83 % Condensation successes : 0
% 3.68/0.83 % Termbank termtop insertions : 866258
% 3.68/0.83 % Search garbage collected termcells : 10683
% 3.68/0.83
% 3.68/0.83 % -------------------------------------------------
% 3.68/0.83 % User time : 0.489 s
% 3.68/0.83 % System time : 0.043 s
% 3.68/0.83 % Total time : 0.532 s
% 3.68/0.83 % Maximum resident set size: 6100 pages
% 3.68/0.83
% 3.68/0.83 % -------------------------------------------------
% 3.68/0.83 % User time : 0.494 s
% 3.68/0.83 % System time : 0.050 s
% 3.68/0.83 % Total time : 0.544 s
% 3.68/0.83 % Maximum resident set size: 4864 pages
% 3.68/0.83 % E exiting
%------------------------------------------------------------------------------