%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU590^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:26:50 AM UTC 2026
% Result : Theorem 141.29s 28.65s
% Output : CNFRefutation 141.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU590^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 13:52:36 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 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.SSVwzSBXvG/E---3.1_2153421.p
% 141.29/28.65 % Version: 3.5.1-ho
% 141.29/28.65 % Preprocessing class: HSLMSLSSLLLCHFA.
% 141.29/28.65 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 141.29/28.65 % Starting ehoh_best5 with 300s (1) cores
% 141.29/28.65 % Starting almost_fo_3_lam with 300s (1) cores
% 141.29/28.65 % Starting new_bool_5 with 300s (1) cores
% 141.29/28.65 % Starting pre_casc_3 with 300s (1) cores
% 141.29/28.65 % Starting ho_unfolding_8 with 300s (1) cores
% 141.29/28.65 % Starting new_ho_10_cnf2 with 300s (1) cores
% 141.29/28.65 % Starting new_bool_3 with 300s (1) cores
% 141.29/28.65 % Starting new_ho_5 with 300s (1) cores
% 141.29/28.65 % pre_casc_3 with pid 2153454 completed with status 9
% 141.29/28.65 % new_ho_5 with pid 2153458 completed with status 9
% 141.29/28.65 % almost_fo_3_lam with pid 2153452 completed with status 0
% 141.29/28.65 % Result found by almost_fo_3_lam
% 141.29/28.65 % Preprocessing class: HSLMSLSSLLLCHFA.
% 141.29/28.65 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 141.29/28.65 % Starting ehoh_best5 with 300s (1) cores
% 141.29/28.65 % Starting almost_fo_3_lam with 300s (1) cores
% 141.29/28.65 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 141.29/28.65 % No SInE strategy applied
% 141.29/28.65 % Search class: HGHSM-FSLM31-MHFMMSBN
% 141.29/28.65 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 141.29/28.65 % Starting SubtermCWHack with 28s (1) cores
% 141.29/28.65 % SubtermCWHack with pid 2153473 completed with status 8
% 141.29/28.65 % Starting almost_fo_3_lam with 31s (1) cores
% 141.29/28.65 % almost_fo_3_lam with pid 2153561 completed with status 0
% 141.29/28.65 % Result found by almost_fo_3_lam
% 141.29/28.65 % Preprocessing class: HSLMSLSSLLLCHFA.
% 141.29/28.65 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 141.29/28.65 % Starting ehoh_best5 with 300s (1) cores
% 141.29/28.65 % Starting almost_fo_3_lam with 300s (1) cores
% 141.29/28.65 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 141.29/28.65 % No SInE strategy applied
% 141.29/28.65 % Search class: HGHSM-FSLM31-MHFMMSBN
% 141.29/28.65 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 141.29/28.65 % Starting SubtermCWHack with 28s (1) cores
% 141.29/28.65 % SubtermCWHack with pid 2153473 completed with status 8
% 141.29/28.65 % Starting almost_fo_3_lam with 31s (1) cores
% 141.29/28.65 % Preprocessing time : 0.006 s
% 141.29/28.65 % Presaturation interreduction done
% 141.29/28.65
% 141.29/28.65 % Proof found!
% 141.29/28.65 % SZS status Theorem
% 141.29/28.65 % SZS output start CNFRefutation
% 141.29/28.65 thf(decl_23, type, in: $i > $i > $o).
% 141.29/28.65 thf(decl_24, type, exu: ($i > $o) > $o).
% 141.29/28.65 thf(decl_25, type, setextAx: $o).
% 141.29/28.65 thf(decl_26, type, emptyset: $i).
% 141.29/28.65 thf(decl_27, type, emptysetAx: $o).
% 141.29/28.65 thf(decl_28, type, setadjoin: $i > $i > $i).
% 141.29/28.65 thf(decl_29, type, setadjoinAx: $o).
% 141.29/28.65 thf(decl_30, type, powerset: $i > $i).
% 141.29/28.65 thf(decl_31, type, powersetAx: $o).
% 141.29/28.65 thf(decl_32, type, setunion: $i > $i).
% 141.29/28.65 thf(decl_33, type, setunionAx: $o).
% 141.29/28.65 thf(decl_34, type, omega: $i).
% 141.29/28.65 thf(decl_35, type, omega0Ax: $o).
% 141.29/28.65 thf(decl_36, type, omegaSAx: $o).
% 141.29/28.65 thf(decl_37, type, omegaIndAx: $o).
% 141.29/28.65 thf(decl_38, type, replAx: $o).
% 141.29/28.65 thf(decl_39, type, foundationAx: $o).
% 141.29/28.65 thf(decl_40, type, wellorderingAx: $o).
% 141.29/28.65 thf(decl_41, type, descr: ($i > $o) > $i).
% 141.29/28.65 thf(decl_42, type, descrp: $o).
% 141.29/28.65 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 141.29/28.65 thf(decl_44, type, dsetconstrI: $o).
% 141.29/28.65 thf(decl_45, type, dsetconstrEL: $o).
% 141.29/28.65 thf(decl_46, type, dsetconstrER: $o).
% 141.29/28.65 thf(decl_47, type, exuE1: $o).
% 141.29/28.65 thf(decl_48, type, prop2set: $o > $i).
% 141.29/28.65 thf(decl_49, type, prop2setE: $o).
% 141.29/28.65 thf(decl_50, type, emptysetE: $o).
% 141.29/28.65 thf(decl_51, type, emptysetimpfalse: $o).
% 141.29/28.65 thf(decl_52, type, notinemptyset: $o).
% 141.29/28.65 thf(decl_53, type, exuE3e: $o).
% 141.29/28.65 thf(decl_54, type, setext: $o).
% 141.29/28.65 thf(decl_55, type, emptyI: $o).
% 141.29/28.65 thf(decl_56, type, noeltsimpempty: $o).
% 141.29/28.65 thf(decl_57, type, setbeta: $o).
% 141.29/28.65 thf(decl_58, type, nonempty: $i > $o).
% 141.29/28.65 thf(decl_59, type, nonemptyE1: $o).
% 141.29/28.65 thf(decl_60, type, nonemptyI: $o).
% 141.29/28.65 thf(decl_61, type, nonemptyI1: $o).
% 141.29/28.65 thf(decl_62, type, setadjoinIL: $o).
% 141.29/28.65 thf(decl_63, type, emptyinunitempty: $o).
% 141.29/28.65 thf(decl_64, type, setadjoinIR: $o).
% 141.29/28.65 thf(decl_65, type, setadjoinE: $o).
% 141.29/28.65 thf(decl_66, type, setadjoinOr: $o).
% 141.29/28.65 thf(decl_67, type, setoftrueEq: $o).
% 141.29/28.65 thf(decl_68, type, powersetI: $o).
% 141.29/28.65 thf(decl_69, type, emptyinPowerset: $o).
% 141.29/28.65 thf(decl_70, type, emptyInPowerset: $o).
% 141.29/28.65 thf(decl_71, type, powersetE: $o).
% 141.29/28.65 thf(decl_72, type, setunionI: $o).
% 141.29/28.65 thf(decl_73, type, setunionE: $o).
% 141.29/28.65 thf(decl_74, type, subPowSU: $o).
% 141.29/28.65 thf(decl_75, type, exuE2: $o).
% 141.29/28.65 thf(decl_76, type, nonemptyImpWitness: $o).
% 141.29/28.65 thf(decl_77, type, uniqinunit: $o).
% 141.29/28.65 thf(decl_78, type, notinsingleton: $o).
% 141.29/28.65 thf(decl_79, type, eqinunit: $o).
% 141.29/28.65 thf(decl_80, type, singletonsswitch: $o).
% 141.29/28.65 thf(decl_81, type, upairsetE: $o).
% 141.29/28.65 thf(decl_82, type, upairsetIL: $o).
% 141.29/28.65 thf(decl_83, type, upairsetIR: $o).
% 141.29/28.65 thf(decl_84, type, emptyE1: $o).
% 141.29/28.65 thf(decl_85, type, vacuousDall: $o).
% 141.29/28.65 thf(decl_86, type, quantDeMorgan1: $o).
% 141.29/28.65 thf(decl_87, type, quantDeMorgan2: $o).
% 141.29/28.65 thf(decl_88, type, quantDeMorgan3: $o).
% 141.29/28.65 thf(decl_89, type, quantDeMorgan4: $o).
% 141.29/28.65 thf(decl_90, type, prop2setI: $o).
% 141.29/28.65 thf(decl_91, type, set2prop: $i > $o).
% 141.29/28.65 thf(decl_92, type, prop2set2propI: $o).
% 141.29/28.65 thf(decl_93, type, notdexE: $o).
% 141.29/28.65 thf(decl_94, type, notdallE: $o).
% 141.29/28.65 thf(decl_95, type, exuI1: $o).
% 141.29/28.65 thf(decl_96, type, exuI3: $o).
% 141.29/28.65 thf(decl_97, type, exuI2: $o).
% 141.29/28.65 thf(decl_98, type, inCongP: $o).
% 141.29/28.65 thf(decl_99, type, in__Cong: $o).
% 141.29/28.65 thf(decl_100, type, exuE3u: $o).
% 141.29/28.65 thf(decl_101, type, exu__Cong: $o).
% 141.29/28.65 thf(decl_102, type, emptyset__Cong: $o).
% 141.29/28.65 thf(decl_103, type, setadjoin__Cong: $o).
% 141.29/28.65 thf(decl_104, type, powerset__Cong: $o).
% 141.29/28.65 thf(decl_105, type, setunion__Cong: $o).
% 141.29/28.65 thf(decl_106, type, omega__Cong: $o).
% 141.29/28.65 thf(decl_107, type, exuEu: $o).
% 141.29/28.65 thf(decl_108, type, descr__Cong: $o).
% 141.29/28.65 thf(decl_109, type, dsetconstr__Cong: $o).
% 141.29/28.65 thf(decl_110, type, subset: $i > $i > $o).
% 141.29/28.65 thf(decl_113, type, subsetI1: $o).
% 141.29/28.65 thf(decl_114, type, eqimpsubset2: $o).
% 141.29/28.65 thf(decl_115, type, eqimpsubset1: $o).
% 141.29/28.65 thf(decl_116, type, subsetI2: $o).
% 141.29/28.65 thf(decl_117, type, emptysetsubset: $o).
% 141.29/28.65 thf(decl_118, type, subsetE: $o).
% 141.29/28.65 thf(decl_119, type, subsetE2: $o).
% 141.29/28.65 thf(decl_120, type, notsubsetI: $o).
% 141.29/28.65 thf(decl_121, type, notequalI1: $o).
% 141.29/28.65 thf(decl_122, type, notequalI2: $o).
% 141.29/28.65 thf(decl_123, type, subsetRefl: $o).
% 141.29/28.65 thf(decl_124, type, subsetTrans: $o).
% 141.29/28.65 thf(decl_125, type, setadjoinSub: $o).
% 141.29/28.65 thf(decl_126, type, setadjoinSub2: $o).
% 141.29/28.65 thf(decl_127, type, subset2powerset: $o).
% 141.29/28.65 thf(decl_128, type, setextsub: $o).
% 141.29/28.65 thf(decl_129, type, subsetemptysetimpeq: $o).
% 141.29/28.65 thf(decl_130, type, powersetI1: $o).
% 141.29/28.65 thf(decl_131, type, powersetE1: $o).
% 141.29/28.65 thf(decl_132, type, inPowerset: $o).
% 141.29/28.65 thf(decl_133, type, powersetsubset: $o).
% 141.29/28.65 thf(decl_134, type, sepInPowerset: $o).
% 141.29/28.65 thf(decl_135, type, sepSubset: $o).
% 141.29/28.65 thf(decl_136, type, binunion: $i > $i > $i).
% 141.29/28.65 thf(decl_137, type, binunionIL: $o).
% 141.29/28.65 thf(decl_138, type, upairset2IR: $o).
% 141.29/28.65 thf(decl_139, type, binunionIR: $o).
% 141.29/28.65 thf(decl_140, type, binunionEcases: $o).
% 141.29/28.65 thf(decl_141, type, binunionE: $o).
% 141.29/28.65 thf(decl_142, type, binunionLsub: $o).
% 141.29/28.65 thf(decl_143, type, binunionRsub: $o).
% 141.29/28.65 thf(decl_144, type, binintersect: $i > $i > $i).
% 141.29/28.65 thf(decl_145, type, binintersectI: $o).
% 141.29/28.65 thf(decl_146, type, epred1_0: $o).
% 141.29/28.65 thf(decl_147, type, esk1_2: $i > $i > $i).
% 141.29/28.65 thf(decl_148, type, esk2_2: $i > $i > $i).
% 141.29/28.65 thf(decl_149, type, esk3_2: $i > $i > $i).
% 141.29/28.65 thf(decl_150, type, esk4_1: $i > $i).
% 141.29/28.65 thf(decl_151, type, esk5_2: ($i > $i > $o) > $i > $i).
% 141.29/28.65 thf(decl_152, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 141.29/28.65 thf(decl_153, type, esk7_2: ($i > $i > $o) > $i > $i).
% 141.29/28.65 thf(decl_154, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 141.29/28.65 thf(decl_155, type, esk9_1: $i > $i).
% 141.29/28.65 thf(decl_156, type, esk10_2: ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_157, type, esk11_2: ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_158, type, esk12_1: ($i > $o) > $i).
% 141.29/28.65 thf(decl_159, type, esk13_2: ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_160, type, esk14_1: ($i > $o) > $i).
% 141.29/28.65 thf(decl_161, type, esk15_2: $i > $i > $i).
% 141.29/28.65 thf(decl_162, type, esk16_2: $i > $i > $i).
% 141.29/28.65 thf(decl_163, type, esk17_1: $i > $i).
% 141.29/28.65 thf(decl_164, type, esk18_1: $i > $i).
% 141.29/28.65 thf(decl_165, type, esk19_1: $i > $i).
% 141.29/28.65 thf(decl_166, type, esk20_2: $i > $i > $i).
% 141.29/28.65 thf(decl_167, type, esk21_3: $i > $i > $o > $i).
% 141.29/28.65 thf(decl_168, type, esk22_2: ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_169, type, esk23_1: ($i > $o) > $i).
% 141.29/28.65 thf(decl_170, type, esk24_1: $i > $i).
% 141.29/28.65 thf(decl_171, type, esk25_2: $i > ($i > $o) > $i).
% 141.29/28.65 thf(decl_172, type, esk26_2: $i > ($i > $o) > $i).
% 141.29/28.65 thf(decl_173, type, esk27_2: $i > ($i > $o) > $i).
% 141.29/28.65 thf(decl_174, type, esk28_2: $i > ($i > $o) > $i).
% 141.29/28.65 thf(decl_175, type, esk29_2: $i > ($i > $o) > $i).
% 141.29/28.65 thf(decl_176, type, esk30_2: $i > ($i > $o) > $i).
% 141.29/28.65 thf(decl_177, type, esk31_2: ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_178, type, esk32_1: ($i > $o) > $i).
% 141.29/28.65 thf(decl_179, type, esk33_1: ($i > $o) > $i).
% 141.29/28.65 thf(decl_180, type, esk34_1: ($i > $o) > $i).
% 141.29/28.65 thf(decl_181, type, esk35_1: ($i > $o) > $i).
% 141.29/28.65 thf(decl_182, type, esk36_2: ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_183, type, esk37_1: ($i > $o) > $i).
% 141.29/28.65 thf(decl_184, type, esk38_2: ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_185, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 141.29/28.65 thf(decl_186, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 141.29/28.65 thf(decl_187, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_188, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 141.29/28.65 thf(decl_189, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_190, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 141.29/28.65 thf(decl_191, type, esk45_2: ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_192, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 141.29/28.65 thf(decl_193, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 141.29/28.65 thf(decl_194, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_195, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 141.29/28.65 thf(decl_196, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 141.29/28.65 thf(decl_197, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 141.29/28.65 thf(decl_198, type, esk52_2: $i > $i > $i).
% 141.29/28.65 thf(decl_199, type, esk53_2: $i > $i > $i).
% 141.29/28.65 thf(decl_200, type, esk54_0: $i).
% 141.29/28.65 thf(decl_201, type, esk55_0: $i).
% 141.29/28.65 thf(decl_202, type, esk56_0: $i).
% 141.29/28.65 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', replAx)).
% 141.29/28.65 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', exu)).
% 141.29/28.65 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', descrp)).
% 141.29/28.65 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', exuE1)).
% 141.29/28.65 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', exuE3e)).
% 141.29/28.65 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', nonempty)).
% 141.29/28.65 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', nonemptyI)).
% 141.29/28.65 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', exuE2)).
% 141.29/28.65 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.SSVwzSBXvG/E---3.1_2153421.p', exuI1)).
% 141.29/28.65 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', exuI3)).
% 141.29/28.65 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', exuI2)).
% 141.29/28.65 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.SSVwzSBXvG/E---3.1_2153421.p', exuE3u)).
% 141.29/28.65 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', exu__Cong)).
% 141.29/28.65 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', exuEu)).
% 141.29/28.65 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', descr__Cong)).
% 141.29/28.65 thf(binintersectSubset5, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', binintersectSubset5)).
% 141.29/28.65 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', dsetconstrI)).
% 141.29/28.65 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', dsetconstrEL)).
% 141.29/28.65 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', dsetconstrER)).
% 141.29/28.65 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setbeta)).
% 141.29/28.65 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', nonemptyE1)).
% 141.29/28.65 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', nonemptyI1)).
% 141.29/28.65 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setoftrueEq)).
% 141.29/28.65 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', nonemptyImpWitness)).
% 141.29/28.65 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.SSVwzSBXvG/E---3.1_2153421.p', emptyE1)).
% 141.29/28.65 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', dsetconstr__Cong)).
% 141.29/28.65 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', sepInPowerset)).
% 141.29/28.65 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', sepSubset)).
% 141.29/28.65 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setextAx)).
% 141.29/28.65 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', emptysetAx)).
% 141.29/28.65 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setadjoinAx)).
% 141.29/28.65 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', powersetAx)).
% 141.29/28.65 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setunionAx)).
% 141.29/28.65 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', omega0Ax)).
% 141.29/28.65 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', omegaSAx)).
% 141.29/28.65 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', omegaIndAx)).
% 141.29/28.65 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', foundationAx)).
% 141.29/28.65 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.SSVwzSBXvG/E---3.1_2153421.p', wellorderingAx)).
% 141.29/28.65 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', prop2setE)).
% 141.29/28.65 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', emptysetE)).
% 141.29/28.65 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', emptysetimpfalse)).
% 141.29/28.65 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', notinemptyset)).
% 141.29/28.65 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setext)).
% 141.29/28.65 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', emptyI)).
% 141.29/28.65 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', noeltsimpempty)).
% 141.29/28.65 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setadjoinIL)).
% 141.29/28.65 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', emptyinunitempty)).
% 141.29/28.65 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setadjoinIR)).
% 141.29/28.65 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.SSVwzSBXvG/E---3.1_2153421.p', setadjoinE)).
% 141.29/28.65 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setadjoinOr)).
% 141.29/28.65 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', powersetI)).
% 141.29/28.65 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', emptyinPowerset)).
% 141.29/28.65 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', emptyInPowerset)).
% 141.29/28.65 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', powersetE)).
% 141.29/28.65 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setunionI)).
% 141.29/28.65 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.SSVwzSBXvG/E---3.1_2153421.p', setunionE)).
% 141.29/28.65 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', subPowSU)).
% 141.29/28.65 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', uniqinunit)).
% 141.29/28.65 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', notinsingleton)).
% 141.29/28.65 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', eqinunit)).
% 141.29/28.65 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', singletonsswitch)).
% 141.29/28.65 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', upairsetE)).
% 141.29/28.65 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', upairsetIL)).
% 141.29/28.65 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', upairsetIR)).
% 141.29/28.65 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', vacuousDall)).
% 141.29/28.65 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', quantDeMorgan1)).
% 141.29/28.65 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', quantDeMorgan2)).
% 141.29/28.65 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', quantDeMorgan3)).
% 141.29/28.65 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', quantDeMorgan4)).
% 141.29/28.65 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', prop2setI)).
% 141.29/28.65 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', prop2set2propI)).
% 141.29/28.65 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', notdexE)).
% 141.29/28.65 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', notdallE)).
% 141.29/28.65 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', inCongP)).
% 141.29/28.65 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', in__Cong)).
% 141.29/28.65 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', emptyset__Cong)).
% 141.29/28.65 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setadjoin__Cong)).
% 141.29/28.65 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', powerset__Cong)).
% 141.29/28.65 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setunion__Cong)).
% 141.29/28.65 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', omega__Cong)).
% 141.29/28.65 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', subsetI1)).
% 141.29/28.65 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', eqimpsubset2)).
% 141.29/28.65 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', eqimpsubset1)).
% 141.29/28.65 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', subsetI2)).
% 141.29/28.65 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', emptysetsubset)).
% 141.29/28.65 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', subsetE)).
% 141.29/28.65 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', subsetE2)).
% 141.29/28.65 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', notsubsetI)).
% 141.29/28.65 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', notequalI1)).
% 141.29/28.65 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', notequalI2)).
% 141.29/28.65 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', subsetRefl)).
% 141.29/28.65 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', subsetTrans)).
% 141.29/28.65 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setadjoinSub)).
% 141.29/28.65 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setadjoinSub2)).
% 141.29/28.65 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', subset2powerset)).
% 141.29/28.65 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', setextsub)).
% 141.29/28.65 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', subsetemptysetimpeq)).
% 141.29/28.65 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', powersetI1)).
% 141.29/28.65 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', powersetE1)).
% 141.29/28.65 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', inPowerset)).
% 141.29/28.65 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', powersetsubset)).
% 141.29/28.65 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', binunionIL)).
% 141.29/28.65 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', upairset2IR)).
% 141.29/28.65 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', binunionIR)).
% 141.29/28.65 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', binunionEcases)).
% 141.29/28.65 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', binunionE)).
% 141.29/28.65 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', binunionLsub)).
% 141.29/28.65 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', binunionRsub)).
% 141.29/28.65 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.SSVwzSBXvG/E---3.1_2153421.p', binintersectI)).
% 141.29/28.65 thf(c_0_109, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 141.29/28.65 thf(c_0_110, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 141.29/28.65 thf(c_0_111, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 141.29/28.65 thf(c_0_112, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 141.29/28.65 thf(c_0_113, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 141.29/28.65 thf(c_0_114, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 141.29/28.65 thf(c_0_115, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 141.29/28.65 thf(c_0_116, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 141.29/28.65 thf(c_0_117, 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])).
% 141.29/28.65 thf(c_0_118, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 141.29/28.65 thf(c_0_119, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 141.29/28.65 thf(c_0_120, 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])).
% 141.29/28.65 thf(c_0_121, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 141.29/28.65 thf(c_0_122, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 141.29/28.65 thf(c_0_123, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 141.29/28.65 thf(c_0_124, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[binintersectSubset5])).
% 141.29/28.65 thf(c_0_125, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X307:$i]:(((((X6 @ X2 @ X307)))&(![X308:$i]:(((((X6 @ X2 @ X308)))=>(((X307)=(X308)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_109, c_0_110])).
% 141.29/28.65 thf(c_0_126, plain, ((descrp)=(![X1:$i > $o]:((((?[X309:$i]:(((((X1 @ X309)))&(![X310:$i]:(((((X1 @ X310)))=>(((X309)=(X310))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_111, c_0_110])).
% 141.29/28.65 thf(c_0_127, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 141.29/28.65 thf(c_0_128, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 141.29/28.65 thf(c_0_129, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 141.29/28.65 thf(c_0_130, plain, ((exuE1)=(![X1:$i > $o]:((((?[X311:$i]:(((((X1 @ X311)))&(![X312:$i]:(((((X1 @ X312)))=>(((X311)=(X312))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_112, c_0_110])).
% 141.29/28.65 thf(c_0_131, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X313:$i]:(((((X1 @ X313)))&(![X314:$i]:(((((X1 @ X314)))=>(((X313)=(X314))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_113, c_0_110])).
% 141.29/28.65 thf(c_0_132, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 141.29/28.65 thf(c_0_133, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_114])).
% 141.29/28.65 thf(c_0_134, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_115, c_0_114])).
% 141.29/28.65 thf(c_0_135, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_114])).
% 141.29/28.65 thf(c_0_136, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 141.29/28.65 thf(c_0_137, plain, ((exuE2)=(![X1:$i > $o]:((((?[X315:$i]:(((((X1 @ X315)))&(![X316:$i]:(((((X1 @ X316)))=>(((X315)=(X316))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_116, c_0_110])).
% 141.29/28.65 thf(c_0_138, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_114])).
% 141.29/28.65 thf(c_0_139, 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])).
% 141.29/28.65 thf(c_0_140, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X317:$i]:(((((X1 @ X317)))&(![X318:$i]:(((((X1 @ X318)))=>(((X317)=(X318)))))))))))))), inference(apply_def,[status(thm)],[c_0_117, c_0_110])).
% 141.29/28.65 thf(c_0_141, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X319:$i]:(((((X1 @ X319)))&(![X320:$i]:(((((X1 @ X320)))=>(((X319)=(X320)))))))))))))))), inference(apply_def,[status(thm)],[c_0_118, c_0_110])).
% 141.29/28.65 thf(c_0_142, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X321:$i]:(((((X1 @ X321)))&(![X322:$i]:(((((X1 @ X322)))=>(((X321)=(X322)))))))))))))), inference(apply_def,[status(thm)],[c_0_119, c_0_110])).
% 141.29/28.65 thf(c_0_143, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X323:$i]:(((((X1 @ X323)))&(![X324:$i]:(((((X1 @ X324)))=>(((X323)=(X324))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_120, c_0_110])).
% 141.29/28.65 thf(c_0_144, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X325:$i]:(((((X1 @ X325)))&(![X326:$i]:(((((X1 @ X326)))=>(((X325)=(X326))))))))))<=>((?[X327:$i]:(((((X17 @ X327)))&(![X328:$i]:(((((X17 @ X328)))=>(((X327)=(X328)))))))))))))))), inference(apply_def,[status(thm)],[c_0_121, c_0_110])).
% 141.29/28.65 thf(c_0_145, plain, ((exuEu)=(![X1:$i > $o]:((((?[X329:$i]:(((((X1 @ X329)))&(![X330:$i]:(((((X1 @ X330)))=>(((X329)=(X330))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_122, c_0_110])).
% 141.29/28.65 thf(c_0_146, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X331:$i]:(((((X1 @ X331)))&(![X332:$i]:(((((X1 @ X332)))=>(((X331)=(X332))))))))))=>((((?[X333:$i]:(((((X17 @ X333)))&(![X334:$i]:(((((X17 @ X334)))=>(((X333)=(X334))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_123, c_0_110])).
% 141.29/28.65 thf(c_0_147, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 141.29/28.65 thf(c_0_148, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 141.29/28.65 thf(c_0_149, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 141.29/28.65 thf(c_0_150, plain, ((epred1_0)<=>![X364:$i]:(?[X365:$i]:((((![X366:$i]:(((in @ X366 @ X365)=>![X367:$i]:(((in @ X367 @ X366)=>(in @ X367 @ X364)))))&![X368:$i, X369:$i]:((((in @ X368 @ X364)&(in @ X369 @ X364))=>(![X370:$i]:(((in @ X370 @ X365)=>((in @ X368 @ X370)<=>(in @ X369 @ X370))))=>((X368)=(X369))))))&![X371:$i, X372:$i]:((((in @ X371 @ X365)&(in @ X372 @ X365))=>(![X373:$i]:(((in @ X373 @ X371)=>(in @ X373 @ X372)))|![X374:$i]:(((in @ X374 @ X372)=>(in @ X374 @ X371)))))))&![X375:$i]:(((![X376:$i]:(((in @ X376 @ X375)=>(in @ X376 @ X364)))&?[X377:$i]:((in @ X377 @ X375)))=>?[X378:$i, X379:$i]:(((((in @ X378 @ X365)&(in @ X379 @ X375))&~(?[X380:$i]:(((in @ X380 @ X378)&(in @ X380 @ X375)))))&![X381:$i]:(((in @ X381 @ X365)=>(![X382:$i]:(((in @ X382 @ X381)=>(in @ X382 @ X378)))|(in @ X379 @ X381)))))))))))), introduced(definition)).
% 141.29/28.65 thf(c_0_151, negated_conjecture, ~((![X335:$i, X336:$i]:((![X337:$i]:(((in @ X337 @ X335)<=>(in @ X337 @ X336)))=>((X335)=(X336))))=>(![X338:$i]:(~(in @ X338 @ emptyset))=>(![X339:$i, X340:$i, X341:$i]:(((in @ X341 @ (setadjoin @ X339 @ X340))<=>(((X341)=(X339))|(in @ X341 @ X340))))=>(![X342:$i, X343:$i]:(((in @ X343 @ (powerset @ X342))<=>![X344:$i]:(((in @ X344 @ X343)=>(in @ X344 @ X342)))))=>(![X345:$i, X346:$i]:(((in @ X346 @ (setunion @ X345))<=>?[X347:$i]:(((in @ X346 @ X347)&(in @ X347 @ X345)))))=>((in @ emptyset @ omega)=>(![X348:$i]:(((in @ X348 @ omega)=>(in @ (setadjoin @ X348 @ X348) @ omega)))=>(![X349:$i]:((((in @ emptyset @ X349)&![X350:$i]:((((in @ X350 @ omega)&(in @ X350 @ X349))=>(in @ (setadjoin @ X350 @ X350) @ X349))))=>![X351:$i]:(((in @ X351 @ omega)=>(in @ X351 @ X349)))))=>(![X352:$i > $i > $o, X353:$i]:((![X354:$i]:(((in @ X354 @ X353)=>?[X355:$i]:(((X352 @ X354 @ X355)&![X356:$i]:(((X352 @ X354 @ X356)=>((X355)=(X356))))))))=>?[X357:$i]:(![X358:$i]:(((in @ X358 @ X357)<=>?[X359:$i]:(((in @ X359 @ X353)&(X352 @ X359 @ X358))))))))=>(![X360:$i]:((?[X361:$i]:((in @ X361 @ X360))=>?[X362:$i]:(((in @ X362 @ X360)&~(?[X363:$i]:(((in @ X363 @ X362)&(in @ X363 @ X360))))))))=>((epred1_0)=>(![X383:$i > $o]:((?[X384:$i]:(((X383 @ X384)&![X385:$i]:(((X383 @ X385)=>((X384)=(X385))))))=>(X383 @ (descr @ (^[Z0:$i]:(X383 @ Z0))))))=>(![X386:$i, X387:$i > $o, X388:$i]:(((in @ X388 @ X386)=>((X387 @ X388)=>(in @ X388 @ (dsetconstr @ X386 @ X387)))))=>(![X389:$i, X390:$i > $o, X391:$i]:(((in @ X391 @ (dsetconstr @ X389 @ X390))=>(in @ X391 @ X389)))=>(![X392:$i, X393:$i > $o, X394:$i]:(((in @ X394 @ (dsetconstr @ X392 @ X393))=>(X393 @ X394)))=>(![X395:$i > $o]:((?[X396:$i]:(((X395 @ X396)&![X397:$i]:(((X395 @ X397)=>((X396)=(X397))))))=>?[X398:$i]:(((X395 @ X398)&![X399:$i]:(((X395 @ X399)=>((X398)=(X399))))))))=>(![X400:$o, X401:$i]:(((in @ X401 @ (prop2set @ ((X400))))=>(X400)))=>(![X402:$i]:(((in @ X402 @ emptyset)=>![X403:$o]:((X403))))=>(![X404:$i]:(((in @ X404 @ emptyset)=>~($true)))=>(![X405:$i]:(~(in @ X405 @ emptyset))=>(![X406:$i > $o]:((?[X407:$i]:(((X406 @ X407)&![X408:$i]:(((X406 @ X408)=>((X407)=(X408))))))=>?[X409:$i]:((X406 @ X409))))=>(![X410:$i, X411:$i]:((![X412:$i]:(((in @ X412 @ X410)=>(in @ X412 @ X411)))=>(![X413:$i]:(((in @ X413 @ X411)=>(in @ X413 @ X410)))=>((X410)=(X411)))))=>(![X414:$i]:((![X415:$i]:(~(in @ X415 @ X414))=>((X414)=(emptyset))))=>(![X416:$i]:((![X417:$i]:(~(in @ X417 @ X416))=>((X416)=(emptyset))))=>(![X418:$i, X419:$i > $o, X420:$i]:(((in @ X420 @ X418)=>((in @ X420 @ (dsetconstr @ X418 @ X419))<=>(X419 @ X420))))=>(![X421:$i]:((((X421)!=(emptyset))=>?[X422:$i]:((in @ X422 @ X421))))=>(![X423:$i, X424:$i > $o, X425:$i]:(((in @ X425 @ X423)=>((X424 @ X425)=>((dsetconstr @ X423 @ X424)!=(emptyset)))))=>(![X426:$i]:((?[X427:$i]:((in @ X427 @ X426))=>((X426)!=(emptyset))))=>(![X428:$i, X429:$i]:((in @ X428 @ (setadjoin @ X428 @ X429)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X430:$i, X431:$i, X432:$i]:(((in @ X432 @ X431)=>(in @ X432 @ (setadjoin @ X430 @ X431))))=>(![X433:$i, X434:$i, X435:$i]:(((in @ X435 @ (setadjoin @ X433 @ X434))=>![X436:$o]:(((((X435)=(X433))=>(X436))=>(((in @ X435 @ X434)=>(X436))=>(X436))))))=>(![X437:$i, X438:$i, X439:$i]:(((in @ X439 @ (setadjoin @ X437 @ X438))=>(((X439)=(X437))|(in @ X439 @ X438))))=>(![X440:$i]:(((dsetconstr @ X440 @ (^[Z0:$i]:($true)))=(X440)))=>(![X441:$i, X442:$i]:((![X443:$i]:(((in @ X443 @ X442)=>(in @ X443 @ X441)))=>(in @ X442 @ (powerset @ X441))))=>(![X444:$i]:((in @ emptyset @ (powerset @ X444)))=>(![X445:$i]:((in @ emptyset @ (powerset @ X445)))=>(![X446:$i, X447:$i, X448:$i]:(((in @ X447 @ (powerset @ X446))=>((in @ X448 @ X447)=>(in @ X448 @ X446))))=>(![X449:$i, X450:$i, X451:$i]:(((in @ X450 @ X451)=>((in @ X451 @ X449)=>(in @ X450 @ (setunion @ X449)))))=>(![X452:$i, X453:$i]:(((in @ X453 @ (setunion @ X452))=>![X454:$o]:((![X455:$i]:(((in @ X453 @ X455)=>((in @ X455 @ X452)=>(X454))))=>(X454)))))=>(![X456:$i, X457:$i]:(((in @ X457 @ X456)=>(in @ X457 @ (powerset @ (setunion @ X456)))))=>(![X458:$i > $o]:((?[X459:$i]:(((X458 @ X459)&![X460:$i]:(((X458 @ X460)=>((X459)=(X460))))))=>?[X461:$i]:(![X462:$i]:(((X458 @ X462)<=>((X462)=(X461)))))))=>(![X463:$i]:((((X463)!=(emptyset))=>?[X464:$i]:(((in @ X464 @ X463)&$true))))=>(![X465:$i, X466:$i]:(((in @ X465 @ (setadjoin @ X466 @ emptyset))=>((X465)=(X466))))=>(![X467:$i, X468:$i]:((((X467)!=(X468))=>~(in @ X468 @ (setadjoin @ X467 @ emptyset))))=>(![X469:$i, X470:$i]:((((X469)=(X470))=>(in @ X469 @ (setadjoin @ X470 @ emptyset))))=>(![X471:$i, X472:$i]:(((in @ X471 @ (setadjoin @ X472 @ emptyset))=>(in @ X472 @ (setadjoin @ X471 @ emptyset))))=>(![X473:$i, X474:$i, X475:$i]:(((in @ X475 @ (setadjoin @ X473 @ (setadjoin @ X474 @ emptyset)))=>(((X475)=(X473))|((X475)=(X474)))))=>(![X476:$i, X477:$i]:((in @ X476 @ (setadjoin @ X476 @ (setadjoin @ X477 @ emptyset))))=>(![X478:$i, X479:$i]:((in @ X479 @ (setadjoin @ X478 @ (setadjoin @ X479 @ emptyset))))=>(![X480:$i, X481:$i > $o]:((?[X482:$i]:(((in @ X482 @ X480)&(X481 @ X482)))=>(((dsetconstr @ X480 @ X481)=(emptyset))=>~($true))))=>(![X483:$i > $o, X484:$i]:(((in @ X484 @ emptyset)=>(X483 @ 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, X494:$i > $o]:((~(?[X495:$i]:(((in @ X495 @ X493)&(X494 @ X495))))=>![X496:$i]:(((in @ X496 @ X493)=>~((X494 @ X496))))))=>(![X497:$i, X498:$i > $o]:((?[X499:$i]:(((in @ X499 @ X497)&~((X498 @ X499))))=>~(![X500:$i]:(((in @ X500 @ X497)=>(X498 @ X500))))))=>(![X501:$o]:(((X501)=>(in @ emptyset @ (prop2set @ ((X501))))))=>(![X502:$o]:(((X502)=>(set2prop @ (prop2set @ ((X502))))))=>(![X503:$i, X504:$i > $o]:((~(?[X505:$i]:(((in @ X505 @ X503)&(X504 @ X505))))=>![X506:$i]:(((in @ X506 @ X503)=>~((X504 @ X506))))))=>(![X507:$i, X508:$i > $o]:((~(![X509:$i]:(((in @ X509 @ X507)=>(X508 @ X509))))=>?[X510:$i]:(((in @ X510 @ X507)&~((X508 @ X510))))))=>(![X511:$i > $o]:((?[X512:$i]:(((X511 @ X512)&![X513:$i]:(((X511 @ X513)=>((X512)=(X513))))))=>?[X514:$i]:(((X511 @ X514)&![X515:$i]:(((X511 @ X515)=>((X514)=(X515))))))))=>(![X516:$i > $o]:((?[X517:$i]:((X516 @ X517))=>(![X518:$i, X519:$i]:(((X516 @ X518)=>((X516 @ X519)=>((X518)=(X519)))))=>?[X520:$i]:(((X516 @ X520)&![X521:$i]:(((X516 @ X521)=>((X520)=(X521)))))))))=>(![X522:$i > $o]:((?[X523:$i]:(![X524:$i]:(((X522 @ X524)<=>((X524)=(X523)))))=>?[X525:$i]:(((X522 @ X525)&![X526:$i]:(((X522 @ X526)=>((X525)=(X526))))))))=>(![X527:$i, X528:$i]:((((X527)=(X528))=>![X529:$i, X530:$i]:((((X529)=(X530))=>((in @ X529 @ X527)=>(in @ X530 @ X528))))))=>(![X531:$i, X532:$i]:((((X531)=(X532))=>![X533:$i, X534:$i]:((((X533)=(X534))=>((in @ X533 @ X531)<=>(in @ X534 @ X532))))))=>(![X535:$i > $o]:((?[X536:$i]:(((X535 @ X536)&![X537:$i]:(((X535 @ X537)=>((X536)=(X537))))))=>![X538:$i, X539:$i]:(((X535 @ X538)=>((X535 @ X539)=>((X538)=(X539)))))))=>(![X540:$i > $o, X541:$i > $o]:((![X542:$i, X543:$i]:((((X542)=(X543))=>((X540 @ X542)<=>(X541 @ X543))))=>(?[X544:$i]:(((X540 @ X544)&![X545:$i]:(((X540 @ X545)=>((X544)=(X545))))))<=>?[X546:$i]:(((X541 @ X546)&![X547:$i]:(((X541 @ X547)=>((X546)=(X547)))))))))=>(((emptyset)=(emptyset))=>(![X548:$i, X549:$i]:((((X548)=(X549))=>![X550:$i, X551:$i]:((((X550)=(X551))=>((setadjoin @ X548 @ X550)=(setadjoin @ X549 @ X551))))))=>(![X552:$i, X553:$i]:((((X552)=(X553))=>((powerset @ X552)=(powerset @ X553))))=>(![X554:$i, X555:$i]:((((X554)=(X555))=>((setunion @ X554)=(setunion @ X555))))=>(((omega)=(omega))=>(![X556:$i > $o]:((?[X557:$i]:(((X556 @ X557)&![X558:$i]:(((X556 @ X558)=>((X557)=(X558))))))=>![X559:$i, X560:$i]:(((X556 @ X559)=>((X556 @ X560)=>((X559)=(X560)))))))=>(![X561:$i > $o, X562:$i > $o]:((![X563:$i, X564:$i]:((((X563)=(X564))=>((X561 @ X563)<=>(X562 @ X564))))=>(?[X565:$i]:(((X561 @ X565)&![X566:$i]:(((X561 @ X566)=>((X565)=(X566))))))=>(?[X567:$i]:(((X562 @ X567)&![X568:$i]:(((X562 @ X568)=>((X567)=(X568))))))=>((descr @ X561)=(descr @ X562))))))=>(![X569:$i, X570:$i]:((((X569)=(X570))=>![X571:$i > $o, X572:$i > $o]:((![X573:$i]:(((in @ X573 @ X569)=>![X574:$i]:(((in @ X574 @ X570)=>(((X573)=(X574))=>((X571 @ X573)<=>(X572 @ X574)))))))=>((dsetconstr @ X569 @ X571)=(dsetconstr @ X570 @ X572))))))=>(![X575:$i, X576:$i]:((![X577:$i]:(((in @ X577 @ X575)=>(in @ X577 @ X576)))=>(subset @ X575 @ X576)))=>(![X578:$i, X579:$i]:((((X578)=(X579))=>(subset @ X579 @ X578)))=>(![X580:$i, X581:$i]:((((X580)=(X581))=>(subset @ X580 @ X581)))=>(![X582:$i, X583:$i]:((![X584:$i]:(((in @ X584 @ X582)=>(in @ X584 @ X583)))=>(subset @ X582 @ X583)))=>(![X585:$i]:((subset @ emptyset @ X585))=>(![X586:$i, X587:$i, X588:$i]:(((subset @ X586 @ X587)=>((in @ X588 @ X586)=>(in @ X588 @ X587))))=>(![X589:$i, X590:$i, X591:$i]:(((subset @ X589 @ X590)=>(~(in @ X591 @ X590)=>~(in @ X591 @ X589))))=>(![X592:$i, X593:$i, X594:$i]:(((in @ X594 @ X592)=>(~(in @ X594 @ X593)=>~(subset @ X592 @ X593))))=>(![X595:$i, X596:$i]:((~(subset @ X595 @ X596)=>((X595)!=(X596))))=>(![X597:$i, X598:$i, X599:$i]:(((in @ X599 @ X597)=>(~(in @ X599 @ X598)=>((X597)!=(X598)))))=>(![X600:$i]:((subset @ X600 @ X600))=>(![X601:$i, X602:$i, X603:$i]:(((subset @ X601 @ X602)=>((subset @ X602 @ X603)=>(subset @ X601 @ X603))))=>(![X604:$i, X605:$i]:((subset @ X605 @ (setadjoin @ X604 @ X605)))=>(![X606:$i, X607:$i, X608:$i]:(((subset @ X606 @ X608)=>(subset @ X606 @ (setadjoin @ X607 @ X608))))=>(![X609:$i, X610:$i]:(((subset @ X609 @ X610)=>(in @ X609 @ (powerset @ X610))))=>(![X611:$i, X612:$i]:(((subset @ X611 @ X612)=>((subset @ X612 @ X611)=>((X611)=(X612)))))=>(![X613:$i]:(((subset @ X613 @ emptyset)=>((X613)=(emptyset))))=>(![X614:$i, X615:$i]:(((subset @ X615 @ X614)=>(in @ X615 @ (powerset @ X614))))=>(![X616:$i, X617:$i]:(((in @ X617 @ (powerset @ X616))=>(subset @ X617 @ X616)))=>(![X618:$i]:((in @ X618 @ (powerset @ X618)))=>(![X619:$i, X620:$i]:(((subset @ X619 @ X620)=>(subset @ (powerset @ X619) @ (powerset @ X620))))=>(![X621:$i, X622:$i > $o]:((in @ (dsetconstr @ X621 @ X622) @ (powerset @ X621)))=>(![X623:$i, X624:$i > $o]:((subset @ (dsetconstr @ X623 @ X624) @ X623))=>(![X625:$i, X626:$i, X627:$i]:(((in @ X627 @ X625)=>(in @ X627 @ (binunion @ X625 @ X626))))=>(![X628:$i, X629:$i]:((in @ X629 @ (setadjoin @ X628 @ (setadjoin @ X629 @ emptyset))))=>(![X630:$i, X631:$i, X632:$i]:(((in @ X632 @ X631)=>(in @ X632 @ (binunion @ X630 @ X631))))=>(![X633:$i, X634:$i, X635:$i, X636:$o]:(((in @ X635 @ (binunion @ X633 @ X634))=>(((in @ X635 @ X633)=>(X636))=>(((in @ X635 @ X634)=>(X636))=>(X636)))))=>(![X637:$i, X638:$i, X639:$i]:(((in @ X639 @ (binunion @ X637 @ X638))=>((in @ X639 @ X637)|(in @ X639 @ X638))))=>(![X640:$i, X641:$i]:((subset @ X640 @ (binunion @ X640 @ X641)))=>(![X642:$i, X643:$i]:((subset @ X643 @ (binunion @ X642 @ X643)))=>(![X644:$i, X645:$i, X646:$i]:(((in @ X646 @ X644)=>((in @ X646 @ X645)=>(in @ X646 @ (binintersect @ X644 @ X645)))))=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_124, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_125]), foundationAx]), wellorderingAx]), c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_130]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_131]), setext]), emptyI]), noeltsimpempty]), c_0_132]), c_0_133]), c_0_134]), c_0_135]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_136]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_137]), c_0_138]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_139]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_140]), c_0_141]), c_0_142]), inCongP]), in__Cong]), c_0_143]), c_0_144]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_145]), c_0_146]), c_0_147]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_148]), c_0_149]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI])])]), c_0_150])).
% 141.29/28.65 thf(c_0_152, negated_conjecture, ![X651:$i, X652:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X664:$i, X665:$i, X667:$i, X668:$i, X669:$i, X670:$i, X671:$i, X673:$i, X674:$i > $i > $o, X675:$i, X677:$i, X680:$i, X682:$i, X683:$i, X684:$i, X685:$i, X687:$i, X688:$i > $o, X689:$i, X691:$i, X692:$i > $o, X693:$i, X694:$i, X695:$i > $o, X696:$i, X697:$i, X698:$i > $o, X699:$i, X700:$i > $o, X701:$i, X704:$i, X705:$o, X706:$i, X707:$i, X708:$o, X709:$i, X710:$i, X711:$i > $o, X712:$i, X715:$i, X716:$i, X719:$i, X721:$i, X723:$i, X724:$i > $o, X725:$i, X726:$i, X728:$i, X729:$i > $o, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$o, X742:$i, X743:$i, X744:$i, X745:$i, X746:$i, X747:$i, X749:$i, X750:$i, X751:$i, X752:$i, X753:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$o, X761:$i, X762:$i, X763:$i > $o, X764:$i, X767:$i, X768:$i, X769:$i, X771:$i, X772:$i, X773:$i, X774:$i, X775:$i, X776:$i, X777:$i, X778:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X785:$i, X786:$i, X787:$i > $o, X788:$i, X789:$i > $o, X790:$i, X791:$i, X792:$i > $o, X793:$i, X795:$i, X796:$i > $o, X798:$i, X799:$i, X800:$i > $o, X802:$i, X803:$i, X804:$i > $o, X805:$i, X807:$o, X808:$o, X809:$i, X810:$i > $o, X812:$i, X813:$i, X814:$i > $o, X815:$i, X817:$i > $o, X818:$i, X821:$i, X822:$i > $o, X823:$i, X827:$i, X828:$i > $o, X829:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i > $o, X842:$i, X844:$i, X845:$i, X846:$i > $o, X847:$i > $o, X850:$i, X853:$i, X854:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$i, X865:$i, X866:$i > $o, X867:$i, X869:$i, X870:$i, X871:$i > $o, X872:$i > $o, X875:$i, X877:$i, X879:$i, X880:$i, X881:$i > $o, X882:$i > $o, X885:$i, X886:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i, X906:$i, X907:$i, X908:$i, X909:$i, X910:$i, X911:$i, X912:$i, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X924:$i, X925:$i, X926:$i, X927:$i, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i > $o, X933:$i, X934:$i > $o, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$o, X947:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i]:((((~(in @ (esk1_2 @ X651 @ X652) @ X651)|~(in @ (esk1_2 @ X651 @ X652) @ X652)|((X651)=(X652)))&((in @ (esk1_2 @ X651 @ X652) @ X651)|(in @ (esk1_2 @ X651 @ X652) @ X652)|((X651)=(X652))))&(~(in @ X654 @ emptyset)&(((~(in @ X657 @ (setadjoin @ X655 @ X656))|(((X657)=(X655))|(in @ X657 @ X656)))&((((X657)!=(X655))|(in @ X657 @ (setadjoin @ X655 @ X656)))&(~(in @ X657 @ X656)|(in @ X657 @ (setadjoin @ X655 @ X656)))))&(((~(in @ X659 @ (powerset @ X658))|(~(in @ X660 @ X659)|(in @ X660 @ X658)))&(((in @ (esk2_2 @ X661 @ X662) @ X662)|(in @ X662 @ (powerset @ X661)))&(~(in @ (esk2_2 @ X661 @ X662) @ X661)|(in @ X662 @ (powerset @ X661)))))&(((((in @ X665 @ (esk3_2 @ X664 @ X665))|~(in @ X665 @ (setunion @ X664)))&((in @ (esk3_2 @ X664 @ X665) @ X664)|~(in @ X665 @ (setunion @ X664))))&(~(in @ X668 @ X669)|~(in @ X669 @ X667)|(in @ X668 @ (setunion @ X667))))&((in @ emptyset @ omega)&((~(in @ X670 @ omega)|(in @ (setadjoin @ X670 @ X670) @ omega))&(((((in @ (esk4_1 @ X671) @ omega)|~(in @ emptyset @ X671)|(~(in @ X673 @ omega)|(in @ X673 @ X671)))&((in @ (esk4_1 @ X671) @ X671)|~(in @ emptyset @ X671)|(~(in @ X673 @ omega)|(in @ X673 @ X671))))&(~(in @ (setadjoin @ (esk4_1 @ X671) @ (esk4_1 @ X671)) @ X671)|~(in @ emptyset @ X671)|(~(in @ X673 @ omega)|(in @ X673 @ X671))))&((((((in @ (esk8_3 @ X674 @ X675 @ X680) @ X675)|~(in @ X680 @ (esk7_2 @ X674 @ X675))|(in @ (esk5_2 @ X674 @ X675) @ X675))&((X674 @ (esk8_3 @ X674 @ X675 @ X680) @ X680)|~(in @ X680 @ (esk7_2 @ X674 @ X675))|(in @ (esk5_2 @ X674 @ X675) @ X675)))&(~(in @ X683 @ X675)|~(X674 @ X683 @ X682)|(in @ X682 @ (esk7_2 @ X674 @ X675))|(in @ (esk5_2 @ X674 @ X675) @ X675)))&(((((in @ (esk8_3 @ X674 @ X675 @ X680) @ X675)|~(in @ X680 @ (esk7_2 @ X674 @ X675))|((X674 @ (esk5_2 @ X674 @ X675) @ (esk6_3 @ X674 @ X675 @ X677))|~(X674 @ (esk5_2 @ X674 @ X675) @ X677)))&((X674 @ (esk8_3 @ X674 @ X675 @ X680) @ X680)|~(in @ X680 @ (esk7_2 @ X674 @ X675))|((X674 @ (esk5_2 @ X674 @ X675) @ (esk6_3 @ X674 @ X675 @ X677))|~(X674 @ (esk5_2 @ X674 @ X675) @ X677))))&(~(in @ X683 @ X675)|~(X674 @ X683 @ X682)|(in @ X682 @ (esk7_2 @ X674 @ X675))|((X674 @ (esk5_2 @ X674 @ X675) @ (esk6_3 @ X674 @ X675 @ X677))|~(X674 @ (esk5_2 @ X674 @ X675) @ X677))))&((((in @ (esk8_3 @ X674 @ X675 @ X680) @ X675)|~(in @ X680 @ (esk7_2 @ X674 @ X675))|(((X677)!=(esk6_3 @ X674 @ X675 @ X677))|~(X674 @ (esk5_2 @ X674 @ X675) @ X677)))&((X674 @ (esk8_3 @ X674 @ X675 @ X680) @ X680)|~(in @ X680 @ (esk7_2 @ X674 @ X675))|(((X677)!=(esk6_3 @ X674 @ X675 @ X677))|~(X674 @ (esk5_2 @ X674 @ X675) @ X677))))&(~(in @ X683 @ X675)|~(X674 @ X683 @ X682)|(in @ X682 @ (esk7_2 @ X674 @ X675))|(((X677)!=(esk6_3 @ X674 @ X675 @ X677))|~(X674 @ (esk5_2 @ X674 @ X675) @ X677))))))&((((in @ (esk9_1 @ X684) @ X684)|~(in @ X685 @ X684))&(~(in @ X687 @ (esk9_1 @ X684))|~(in @ X687 @ X684)|~(in @ X685 @ X684)))&((epred1_0)&((((X688 @ (esk10_2 @ X688 @ X689))|~(X688 @ X689)|(X688 @ (descr @ X688)))&(((X689)!=(esk10_2 @ X688 @ X689))|~(X688 @ X689)|(X688 @ (descr @ X688))))&((~(in @ X693 @ X691)|(~(X692 @ X693)|(in @ X693 @ (dsetconstr @ X691 @ X692))))&((~(in @ X696 @ (dsetconstr @ X694 @ X695))|(in @ X696 @ X694))&((~(in @ X699 @ (dsetconstr @ X697 @ X698))|(X698 @ X699))&(((((X700 @ (esk12_1 @ X700))|((X700 @ (esk11_2 @ X700 @ X701))|~(X700 @ X701)))&(~(X700 @ X704)|((esk12_1 @ X700)=(X704))|((X700 @ (esk11_2 @ X700 @ X701))|~(X700 @ X701))))&(((X700 @ (esk12_1 @ X700))|(((X701)!=(esk11_2 @ X700 @ X701))|~(X700 @ X701)))&(~(X700 @ X704)|((esk12_1 @ X700)=(X704))|(((X701)!=(esk11_2 @ X700 @ X701))|~(X700 @ X701)))))&((~(in @ X706 @ (prop2set @ ((X705))))|(X705))&((~(in @ X707 @ emptyset)|(X708))&((~(in @ X709 @ emptyset)|~($true))&(~(in @ X710 @ emptyset)&((((X711 @ (esk13_2 @ X711 @ X712))|~(X711 @ X712)|(X711 @ (esk14_1 @ X711)))&(((X712)!=(esk13_2 @ X711 @ X712))|~(X711 @ X712)|(X711 @ (esk14_1 @ X711))))&(((((in @ (esk16_2 @ X715 @ X716) @ X716)|((X715)=(X716))|(in @ (esk15_2 @ X715 @ X716) @ X715))&(~(in @ (esk16_2 @ X715 @ X716) @ X715)|((X715)=(X716))|(in @ (esk15_2 @ X715 @ X716) @ X715)))&(((in @ (esk16_2 @ X715 @ X716) @ X716)|((X715)=(X716))|~(in @ (esk15_2 @ X715 @ X716) @ X716))&(~(in @ (esk16_2 @ X715 @ X716) @ X715)|((X715)=(X716))|~(in @ (esk15_2 @ X715 @ X716) @ X716))))&(((in @ (esk17_1 @ X719) @ X719)|((X719)=(emptyset)))&(((in @ (esk18_1 @ X721) @ X721)|((X721)=(emptyset)))&(((~(in @ X725 @ (dsetconstr @ X723 @ X724))|(X724 @ X725)|~(in @ X725 @ X723))&(~(X724 @ X725)|(in @ X725 @ (dsetconstr @ X723 @ X724))|~(in @ X725 @ X723)))&((((X726)=(emptyset))|(in @ (esk19_1 @ X726) @ X726))&((~(in @ X730 @ X728)|(~(X729 @ X730)|((dsetconstr @ X728 @ X729)!=(emptyset))))&((~(in @ X732 @ X731)|((X731)!=(emptyset)))&((in @ X733 @ (setadjoin @ X733 @ X734))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X737 @ X736)|(in @ X737 @ (setadjoin @ X735 @ X736)))&(((((in @ X740 @ X739)|(X741)|((X740)=(X738))|~(in @ X740 @ (setadjoin @ X738 @ X739)))&(~(X741)|(X741)|((X740)=(X738))|~(in @ X740 @ (setadjoin @ X738 @ X739))))&(((in @ X740 @ X739)|(X741)|~(X741)|~(in @ X740 @ (setadjoin @ X738 @ X739)))&(~(X741)|(X741)|~(X741)|~(in @ X740 @ (setadjoin @ X738 @ X739)))))&((~(in @ X744 @ (setadjoin @ X742 @ X743))|(((X744)=(X742))|(in @ X744 @ X743)))&(((dsetconstr @ X745 @ (^[Z0:$i]:($true)))=(X745))&((((in @ (esk20_2 @ X746 @ X747) @ X747)|(in @ X747 @ (powerset @ X746)))&(~(in @ (esk20_2 @ X746 @ X747) @ X746)|(in @ X747 @ (powerset @ X746))))&((in @ emptyset @ (powerset @ X749))&((in @ emptyset @ (powerset @ X750))&((~(in @ X752 @ (powerset @ X751))|(~(in @ X753 @ X752)|(in @ X753 @ X751)))&((~(in @ X755 @ X756)|(~(in @ X756 @ X754)|(in @ X755 @ (setunion @ X754))))&((((in @ X758 @ (esk21_3 @ X757 @ X758 @ X759))|(X759)|~(in @ X758 @ (setunion @ X757)))&(((in @ (esk21_3 @ X757 @ X758 @ X759) @ X757)|(X759)|~(in @ X758 @ (setunion @ X757)))&(~(X759)|(X759)|~(in @ X758 @ (setunion @ X757)))))&((~(in @ X762 @ X761)|(in @ X762 @ (powerset @ (setunion @ X761))))&((((~(X763 @ X767)|((X767)=(esk23_1 @ X763))|((X763 @ (esk22_2 @ X763 @ X764))|~(X763 @ X764)))&(((X768)!=(esk23_1 @ X763))|(X763 @ X768)|((X763 @ (esk22_2 @ X763 @ X764))|~(X763 @ X764))))&((~(X763 @ X767)|((X767)=(esk23_1 @ X763))|(((X764)!=(esk22_2 @ X763 @ X764))|~(X763 @ X764)))&(((X768)!=(esk23_1 @ X763))|(X763 @ X768)|(((X764)!=(esk22_2 @ X763 @ X764))|~(X763 @ X764)))))&((((in @ (esk24_1 @ X769) @ X769)|((X769)=(emptyset)))&(($true)|((X769)=(emptyset))))&((~(in @ X771 @ (setadjoin @ X772 @ emptyset))|((X771)=(X772)))&((((X773)=(X774))|~(in @ X774 @ (setadjoin @ X773 @ emptyset)))&((((X775)!=(X776))|(in @ X775 @ (setadjoin @ X776 @ emptyset)))&((~(in @ X777 @ (setadjoin @ X778 @ emptyset))|(in @ X778 @ (setadjoin @ X777 @ emptyset)))&((~(in @ X781 @ (setadjoin @ X779 @ (setadjoin @ X780 @ emptyset)))|(((X781)=(X779))|((X781)=(X780))))&((in @ X782 @ (setadjoin @ X782 @ (setadjoin @ X783 @ emptyset)))&((in @ X785 @ (setadjoin @ X784 @ (setadjoin @ X785 @ emptyset)))&((~(in @ X788 @ X786)|~(X787 @ X788)|(((dsetconstr @ X786 @ X787)!=(emptyset))|~($true)))&((~(in @ X790 @ emptyset)|(X789 @ X790))&((((in @ (esk25_2 @ X791 @ X792) @ X791)|(~(in @ X793 @ X791)|(X792 @ X793)))&(~(X792 @ (esk25_2 @ X791 @ X792))|(~(in @ X793 @ X791)|(X792 @ X793))))&((((in @ (esk26_2 @ X795 @ X796) @ X795)|(~(in @ X798 @ X795)|~(X796 @ X798)))&((X796 @ (esk26_2 @ X795 @ X796))|(~(in @ X798 @ X795)|~(X796 @ X798))))&((((in @ (esk27_2 @ X799 @ X800) @ X799)|(~(in @ X802 @ X799)|~(X800 @ X802)))&((X800 @ (esk27_2 @ X799 @ X800))|(~(in @ X802 @ X799)|~(X800 @ X802))))&((((in @ (esk28_2 @ X803 @ X804) @ X803)|(~(in @ X805 @ X803)|(X804 @ X805)))&(~(X804 @ (esk28_2 @ X803 @ X804))|(~(in @ X805 @ X803)|(X804 @ X805))))&((~(X807)|(in @ emptyset @ (prop2set @ ((X807)))))&((~(X808)|(set2prop @ (prop2set @ ((X808)))))&((((in @ (esk29_2 @ X809 @ X810) @ X809)|(~(in @ X812 @ X809)|~(X810 @ X812)))&((X810 @ (esk29_2 @ X809 @ X810))|(~(in @ X812 @ X809)|~(X810 @ X812))))&((((in @ (esk30_2 @ X813 @ X814) @ X813)|(~(in @ X815 @ X813)|(X814 @ X815)))&(~(X814 @ (esk30_2 @ X813 @ X814))|(~(in @ X815 @ X813)|(X814 @ X815))))&(((((X817 @ (esk32_1 @ X817))|((X817 @ (esk31_2 @ X817 @ X818))|~(X817 @ X818)))&(~(X817 @ X821)|((esk32_1 @ X817)=(X821))|((X817 @ (esk31_2 @ X817 @ X818))|~(X817 @ X818))))&(((X817 @ (esk32_1 @ X817))|(((X818)!=(esk31_2 @ X817 @ X818))|~(X817 @ X818)))&(~(X817 @ X821)|((esk32_1 @ X817)=(X821))|(((X818)!=(esk31_2 @ X817 @ X818))|~(X817 @ X818)))))&(((((X822 @ (esk35_1 @ X822))|(X822 @ (esk33_1 @ X822))|~(X822 @ X823))&(~(X822 @ X827)|((esk35_1 @ X822)=(X827))|(X822 @ (esk33_1 @ X822))|~(X822 @ X823)))&((((X822 @ (esk35_1 @ X822))|(X822 @ (esk34_1 @ X822))|~(X822 @ X823))&(~(X822 @ X827)|((esk35_1 @ X822)=(X827))|(X822 @ (esk34_1 @ X822))|~(X822 @ X823)))&(((X822 @ (esk35_1 @ X822))|((esk33_1 @ X822)!=(esk34_1 @ X822))|~(X822 @ X823))&(~(X822 @ X827)|((esk35_1 @ X822)=(X827))|((esk33_1 @ X822)!=(esk34_1 @ X822))|~(X822 @ X823)))))&(((((X828 @ (esk37_1 @ X828))|(~(X828 @ (esk36_2 @ X828 @ X829))|((esk36_2 @ X828 @ X829)!=(X829))))&(~(X828 @ X832)|((esk37_1 @ X828)=(X832))|(~(X828 @ (esk36_2 @ X828 @ X829))|((esk36_2 @ X828 @ X829)!=(X829)))))&(((X828 @ (esk37_1 @ X828))|((X828 @ (esk36_2 @ X828 @ X829))|((esk36_2 @ X828 @ X829)=(X829))))&(~(X828 @ X832)|((esk37_1 @ X828)=(X832))|((X828 @ (esk36_2 @ X828 @ X829))|((esk36_2 @ X828 @ X829)=(X829))))))&((((X833)!=(X834))|(((X835)!=(X836))|(~(in @ X835 @ X833)|(in @ X836 @ X834))))&(((~(in @ X839 @ X837)|(in @ X840 @ X838)|((X839)!=(X840))|((X837)!=(X838)))&(~(in @ X840 @ X838)|(in @ X839 @ X837)|((X839)!=(X840))|((X837)!=(X838))))&((((X841 @ (esk38_2 @ X841 @ X842))|~(X841 @ X842)|(~(X841 @ X844)|(~(X841 @ X845)|((X844)=(X845)))))&(((X842)!=(esk38_2 @ X841 @ X842))|~(X841 @ X842)|(~(X841 @ X844)|(~(X841 @ X845)|((X844)=(X845))))))&(((((((X847 @ (esk42_2 @ X846 @ X847))|((X846 @ (esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|((esk39_2 @ X846 @ X847)=(esk40_2 @ X846 @ X847)))&(~(X847 @ X853)|((esk42_2 @ X846 @ X847)=(X853))|((X846 @ (esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|((esk39_2 @ X846 @ X847)=(esk40_2 @ X846 @ X847))))&(((X847 @ (esk42_2 @ X846 @ X847))|(((X850)!=(esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|((esk39_2 @ X846 @ X847)=(esk40_2 @ X846 @ X847)))&(~(X847 @ X853)|((esk42_2 @ X846 @ X847)=(X853))|(((X850)!=(esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|((esk39_2 @ X846 @ X847)=(esk40_2 @ X846 @ X847)))))&((((X846 @ (esk44_2 @ X846 @ X847))|((X847 @ (esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|((esk39_2 @ X846 @ X847)=(esk40_2 @ X846 @ X847)))&(~(X846 @ X857)|((esk44_2 @ X846 @ X847)=(X857))|((X847 @ (esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|((esk39_2 @ X846 @ X847)=(esk40_2 @ X846 @ X847))))&(((X846 @ (esk44_2 @ X846 @ X847))|(((X854)!=(esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|((esk39_2 @ X846 @ X847)=(esk40_2 @ X846 @ X847)))&(~(X846 @ X857)|((esk44_2 @ X846 @ X847)=(X857))|(((X854)!=(esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|((esk39_2 @ X846 @ X847)=(esk40_2 @ X846 @ X847))))))&((((((X847 @ (esk42_2 @ X846 @ X847))|((X846 @ (esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|(~(X846 @ (esk39_2 @ X846 @ X847))|~(X847 @ (esk40_2 @ X846 @ X847))))&(~(X847 @ X853)|((esk42_2 @ X846 @ X847)=(X853))|((X846 @ (esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|(~(X846 @ (esk39_2 @ X846 @ X847))|~(X847 @ (esk40_2 @ X846 @ X847)))))&(((X847 @ (esk42_2 @ X846 @ X847))|(((X850)!=(esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|(~(X846 @ (esk39_2 @ X846 @ X847))|~(X847 @ (esk40_2 @ X846 @ X847))))&(~(X847 @ X853)|((esk42_2 @ X846 @ X847)=(X853))|(((X850)!=(esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|(~(X846 @ (esk39_2 @ X846 @ X847))|~(X847 @ (esk40_2 @ X846 @ X847))))))&((((X846 @ (esk44_2 @ X846 @ X847))|((X847 @ (esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|(~(X846 @ (esk39_2 @ X846 @ X847))|~(X847 @ (esk40_2 @ X846 @ X847))))&(~(X846 @ X857)|((esk44_2 @ X846 @ X847)=(X857))|((X847 @ (esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|(~(X846 @ (esk39_2 @ X846 @ X847))|~(X847 @ (esk40_2 @ X846 @ X847)))))&(((X846 @ (esk44_2 @ X846 @ X847))|(((X854)!=(esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|(~(X846 @ (esk39_2 @ X846 @ X847))|~(X847 @ (esk40_2 @ X846 @ X847))))&(~(X846 @ X857)|((esk44_2 @ X846 @ X847)=(X857))|(((X854)!=(esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|(~(X846 @ (esk39_2 @ X846 @ X847))|~(X847 @ (esk40_2 @ X846 @ X847)))))))&(((((X847 @ (esk42_2 @ X846 @ X847))|((X846 @ (esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|((X846 @ (esk39_2 @ X846 @ X847))|(X847 @ (esk40_2 @ X846 @ X847))))&(~(X847 @ X853)|((esk42_2 @ X846 @ X847)=(X853))|((X846 @ (esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|((X846 @ (esk39_2 @ X846 @ X847))|(X847 @ (esk40_2 @ X846 @ X847)))))&(((X847 @ (esk42_2 @ X846 @ X847))|(((X850)!=(esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|((X846 @ (esk39_2 @ X846 @ X847))|(X847 @ (esk40_2 @ X846 @ X847))))&(~(X847 @ X853)|((esk42_2 @ X846 @ X847)=(X853))|(((X850)!=(esk41_3 @ X846 @ X847 @ X850))|~(X846 @ X850))|((X846 @ (esk39_2 @ X846 @ X847))|(X847 @ (esk40_2 @ X846 @ X847))))))&((((X846 @ (esk44_2 @ X846 @ X847))|((X847 @ (esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|((X846 @ (esk39_2 @ X846 @ X847))|(X847 @ (esk40_2 @ X846 @ X847))))&(~(X846 @ X857)|((esk44_2 @ X846 @ X847)=(X857))|((X847 @ (esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|((X846 @ (esk39_2 @ X846 @ X847))|(X847 @ (esk40_2 @ X846 @ X847)))))&(((X846 @ (esk44_2 @ X846 @ X847))|(((X854)!=(esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|((X846 @ (esk39_2 @ X846 @ X847))|(X847 @ (esk40_2 @ X846 @ X847))))&(~(X846 @ X857)|((esk44_2 @ X846 @ X847)=(X857))|(((X854)!=(esk43_3 @ X846 @ X847 @ X854))|~(X847 @ X854))|((X846 @ (esk39_2 @ X846 @ X847))|(X847 @ (esk40_2 @ X846 @ X847)))))))))&(((emptyset)=(emptyset))&((((X858)!=(X859))|(((X860)!=(X861))|((setadjoin @ X858 @ X860)=(setadjoin @ X859 @ X861))))&((((X862)!=(X863))|((powerset @ X862)=(powerset @ X863)))&((((X864)!=(X865))|((setunion @ X864)=(setunion @ X865)))&(((omega)=(omega))&((((X866 @ (esk45_2 @ X866 @ X867))|~(X866 @ X867)|(~(X866 @ X869)|(~(X866 @ X870)|((X869)=(X870)))))&(((X867)!=(esk45_2 @ X866 @ X867))|~(X866 @ X867)|(~(X866 @ X869)|(~(X866 @ X870)|((X869)=(X870))))))&((((((X872 @ (esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|((X871 @ (esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((esk46_2 @ X871 @ X872)=(esk47_2 @ X871 @ X872)))&(((X877)!=(esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|((X871 @ (esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((esk46_2 @ X871 @ X872)=(esk47_2 @ X871 @ X872))))&(((X872 @ (esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((esk46_2 @ X871 @ X872)=(esk47_2 @ X871 @ X872)))&(((X877)!=(esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((esk46_2 @ X871 @ X872)=(esk47_2 @ X871 @ X872)))))&(((((X872 @ (esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|((X871 @ (esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|(~(X871 @ (esk46_2 @ X871 @ X872))|~(X872 @ (esk47_2 @ X871 @ X872))))&(((X877)!=(esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|((X871 @ (esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|(~(X871 @ (esk46_2 @ X871 @ X872))|~(X872 @ (esk47_2 @ X871 @ X872)))))&(((X872 @ (esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|(~(X871 @ (esk46_2 @ X871 @ X872))|~(X872 @ (esk47_2 @ X871 @ X872))))&(((X877)!=(esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|(~(X871 @ (esk46_2 @ X871 @ X872))|~(X872 @ (esk47_2 @ X871 @ X872))))))&((((X872 @ (esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|((X871 @ (esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((X871 @ (esk46_2 @ X871 @ X872))|(X872 @ (esk47_2 @ X871 @ X872))))&(((X877)!=(esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|((X871 @ (esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((X871 @ (esk46_2 @ X871 @ X872))|(X872 @ (esk47_2 @ X871 @ X872)))))&(((X872 @ (esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((X871 @ (esk46_2 @ X871 @ X872))|(X872 @ (esk47_2 @ X871 @ X872))))&(((X877)!=(esk49_3 @ X871 @ X872 @ X877))|~(X872 @ X877)|((descr @ X871)=(descr @ X872))|(((X875)!=(esk48_3 @ X871 @ X872 @ X875))|~(X871 @ X875))|((X871 @ (esk46_2 @ X871 @ X872))|(X872 @ (esk47_2 @ X871 @ X872))))))))&((((in @ (esk50_4 @ X879 @ X880 @ X881 @ X882) @ X879)|((dsetconstr @ X879 @ X881)=(dsetconstr @ X880 @ X882))|((X879)!=(X880)))&(((in @ (esk51_4 @ X879 @ X880 @ X881 @ X882) @ X880)|((dsetconstr @ X879 @ X881)=(dsetconstr @ X880 @ X882))|((X879)!=(X880)))&((((esk50_4 @ X879 @ X880 @ X881 @ X882)=(esk51_4 @ X879 @ X880 @ X881 @ X882))|((dsetconstr @ X879 @ X881)=(dsetconstr @ X880 @ X882))|((X879)!=(X880)))&((~(X881 @ (esk50_4 @ X879 @ X880 @ X881 @ X882))|~(X882 @ (esk51_4 @ X879 @ X880 @ X881 @ X882))|((dsetconstr @ X879 @ X881)=(dsetconstr @ X880 @ X882))|((X879)!=(X880)))&((X881 @ (esk50_4 @ X879 @ X880 @ X881 @ X882))|(X882 @ (esk51_4 @ X879 @ X880 @ X881 @ X882))|((dsetconstr @ X879 @ X881)=(dsetconstr @ X880 @ X882))|((X879)!=(X880)))))))&((((in @ (esk52_2 @ X885 @ X886) @ X885)|(subset @ X885 @ X886))&(~(in @ (esk52_2 @ X885 @ X886) @ X886)|(subset @ X885 @ X886)))&((((X888)!=(X889))|(subset @ X889 @ X888))&((((X890)!=(X891))|(subset @ X890 @ X891))&((((in @ (esk53_2 @ X892 @ X893) @ X892)|(subset @ X892 @ X893))&(~(in @ (esk53_2 @ X892 @ X893) @ X893)|(subset @ X892 @ X893)))&((subset @ emptyset @ X895)&((~(subset @ X896 @ X897)|(~(in @ X898 @ X896)|(in @ X898 @ X897)))&((~(subset @ X899 @ X900)|((in @ X901 @ X900)|~(in @ X901 @ X899)))&((~(in @ X904 @ X902)|((in @ X904 @ X903)|~(subset @ X902 @ X903)))&(((subset @ X905 @ X906)|((X905)!=(X906)))&((~(in @ X909 @ X907)|((in @ X909 @ X908)|((X907)!=(X908))))&((subset @ X910 @ X910)&((~(subset @ X911 @ X912)|(~(subset @ X912 @ X913)|(subset @ X911 @ X913)))&((subset @ X915 @ (setadjoin @ X914 @ X915))&((~(subset @ X916 @ X918)|(subset @ X916 @ (setadjoin @ X917 @ X918)))&((~(subset @ X919 @ X920)|(in @ X919 @ (powerset @ X920)))&((~(subset @ X921 @ X922)|(~(subset @ X922 @ X921)|((X921)=(X922))))&((~(subset @ X923 @ emptyset)|((X923)=(emptyset)))&((~(subset @ X925 @ X924)|(in @ X925 @ (powerset @ X924)))&((~(in @ X927 @ (powerset @ X926))|(subset @ X927 @ X926))&((in @ X928 @ (powerset @ X928))&((~(subset @ X929 @ X930)|(subset @ (powerset @ X929) @ (powerset @ X930)))&((in @ (dsetconstr @ X931 @ X932) @ (powerset @ X931))&((subset @ (dsetconstr @ X933 @ X934) @ X933)&((~(in @ X937 @ X935)|(in @ X937 @ (binunion @ X935 @ X936)))&((in @ X939 @ (setadjoin @ X938 @ (setadjoin @ X939 @ emptyset)))&((~(in @ X942 @ X941)|(in @ X942 @ (binunion @ X940 @ X941)))&(((((in @ X945 @ X944)|(X946)|(in @ X945 @ X943)|~(in @ X945 @ (binunion @ X943 @ X944)))&(~(X946)|(X946)|(in @ X945 @ X943)|~(in @ X945 @ (binunion @ X943 @ X944))))&(((in @ X945 @ X944)|(X946)|~(X946)|~(in @ X945 @ (binunion @ X943 @ X944)))&(~(X946)|(X946)|~(X946)|~(in @ X945 @ (binunion @ X943 @ X944)))))&((~(in @ X949 @ (binunion @ X947 @ X948))|((in @ X949 @ X947)|(in @ X949 @ X948)))&((subset @ X950 @ (binunion @ X950 @ X951))&((subset @ X953 @ (binunion @ X952 @ X953))&((~(in @ X956 @ X954)|(~(in @ X956 @ X955)|(in @ X956 @ (binintersect @ X954 @ X955))))&((subset @ esk56_0 @ esk54_0)&((subset @ esk56_0 @ esk55_0)&~(subset @ esk56_0 @ (binintersect @ 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_151])])])])])])])).
% 141.29/28.65 thf(c_0_153, negated_conjecture, ~((subset @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0))), inference(split_conjunct,[status(thm)],[c_0_152])).
% 141.29/28.65 thf(c_0_154, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk53_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_152])).
% 141.29/28.65 thf(c_0_155, negated_conjecture, ~((in @ (esk53_2 @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0)) @ (binintersect @ esk54_0 @ esk55_0))), inference(spm,[status(thm)],[c_0_153, c_0_154])).
% 141.29/28.65 thf(c_0_156, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ (binintersect @ X3 @ X4))|~((in @ X2 @ X3))|~((in @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_152])).
% 141.29/28.65 thf(c_0_157, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_152])).
% 141.29/28.65 thf(c_0_158, negated_conjecture, (subset @ esk56_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_152])).
% 141.29/28.65 thf(c_0_159, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_152])).
% 141.29/28.65 thf(c_0_160, negated_conjecture, (~((in @ (esk53_2 @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0)) @ esk55_0))|~((in @ (esk53_2 @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0)) @ esk54_0))), inference(spm,[status(thm)],[c_0_155, c_0_156])).
% 141.29/28.65 thf(c_0_161, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk55_0)|~((in @ X2 @ esk56_0)))), inference(spm,[status(thm)],[c_0_157, c_0_158])).
% 141.29/28.65 thf(c_0_162, negated_conjecture, (in @ (esk53_2 @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0)) @ esk56_0), inference(spm,[status(thm)],[c_0_153, c_0_159])).
% 141.29/28.65 thf(c_0_163, negated_conjecture, (subset @ esk56_0 @ esk54_0), inference(split_conjunct,[status(thm)],[c_0_152])).
% 141.29/28.65 thf(c_0_164, negated_conjecture, ~((in @ (esk53_2 @ esk56_0 @ (binintersect @ esk54_0 @ esk55_0)) @ esk54_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_161]), c_0_162])])).
% 141.29/28.65 thf(c_0_165, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk54_0)|~((in @ X2 @ esk56_0)))), inference(spm,[status(thm)],[c_0_157, c_0_163])).
% 141.29/28.65 thf(c_0_166, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164, c_0_165]), c_0_162])]), ['proof']).
% 141.29/28.65 % SZS output end CNFRefutation
% 141.29/28.65 % Parsed axioms : 233
% 141.29/28.65 % Removed by relevancy pruning/SinE : 0
% 141.29/28.65 % Initial clauses : 346
% 141.29/28.65 % Removed in clause preprocessing : 140
% 141.29/28.65 % Initial clauses in saturation : 206
% 141.29/28.65 % Processed clauses : 478
% 141.29/28.65 % ...of these trivial : 12
% 141.29/28.65 % ...subsumed : 47
% 141.29/28.65 % ...remaining for further processing : 419
% 141.29/28.65 % Other redundant clauses eliminated : 16
% 141.29/28.65 % Clauses deleted for lack of memory : 0
% 141.29/28.65 % Backward-subsumed : 3
% 141.29/28.65 % Backward-rewritten : 5
% 141.29/28.65 % Generated clauses : 1330
% 141.29/28.65 % ...of the previous two non-redundant : 1241
% 141.29/28.65 % ...aggressively subsumed : 0
% 141.29/28.65 % Contextual simplify-reflections : 0
% 141.29/28.65 % Paramodulations : 1311
% 141.29/28.65 % Factorizations : 0
% 141.29/28.65 % NegExts : 0
% 141.29/28.65 % Equation resolutions : 16
% 141.29/28.65 % Disequality decompositions : 0
% 141.29/28.65 % Total rewrite steps : 152
% 141.29/28.65 % ...of those cached : 110
% 141.29/28.65 % Propositional unsat checks : 0
% 141.29/28.65 % Propositional check models : 0
% 141.29/28.65 % Propositional check unsatisfiable : 0
% 141.29/28.65 % Propositional clauses : 0
% 141.29/28.65 % Propositional clauses after purity: 0
% 141.29/28.65 % Propositional unsat core size : 0
% 141.29/28.65 % Propositional preprocessing time : 0.000
% 141.29/28.65 % Propositional encoding time : 0.000
% 141.29/28.65 % Propositional solver time : 0.000
% 141.29/28.65 % Success case prop preproc time : 0.000
% 141.29/28.65 % Success case prop encoding time : 0.000
% 141.29/28.65 % Success case prop solver time : 0.000
% 141.29/28.65 % Current number of processed clauses : 219
% 141.29/28.65 % Positive orientable unit clauses : 54
% 141.29/28.65 % Positive unorientable unit clauses: 1
% 141.29/28.65 % Negative unit clauses : 8
% 141.29/28.65 % Non-unit-clauses : 156
% 141.29/28.65 % Current number of unprocessed clauses: 1133
% 141.29/28.65 % ...number of literals in the above : 2908
% 141.29/28.65 % Current number of archived formulas : 0
% 141.29/28.65 % Current number of archived clauses : 187
% 141.29/28.65 % Clause-clause subsumption calls (NU) : 9934
% 141.29/28.65 % Rec. Clause-clause subsumption calls : 4114
% 141.29/28.65 % Non-unit clause-clause subsumptions : 24
% 141.29/28.65 % Unit Clause-clause subsumption calls : 580
% 141.29/28.65 % Rewrite failures with RHS unbound : 0
% 141.29/28.65 % BW rewrite match attempts : 16
% 141.29/28.65 % BW rewrite match successes : 7
% 141.29/28.65 % Condensation attempts : 0
% 141.29/28.65 % Condensation successes : 0
% 141.29/28.65 % Termbank termtop insertions : 66612
% 141.29/28.65 % Search garbage collected termcells : 11161
% 141.29/28.65
% 141.29/28.65 % -------------------------------------------------
% 141.29/28.65 % User time : 27.257 s
% 141.29/28.65 % System time : 0.987 s
% 141.29/28.65 % Total time : 28.245 s
% 141.29/28.65 % Maximum resident set size: 6164 pages
% 141.29/28.65
% 141.29/28.65 % -------------------------------------------------
% 141.29/28.65 % User time : 27.385 s
% 141.29/28.65 % System time : 1.053 s
% 141.29/28.65 % Total time : 28.439 s
% 141.29/28.65 % Maximum resident set size: 5120 pages
% 141.29/28.65 % E exiting
%------------------------------------------------------------------------------