%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU622^1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:24:46 AM UTC 2026
% Result : Theorem 0.21s 0.30s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU622^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n001.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Sep 29 14:04:50 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.24 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.GeNnJZ1bwx/E---3.1_1288412.p
% 0.21/0.30 % Version: 3.5.1-ho
% 0.21/0.30 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.21/0.30 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.30 % Starting ehoh_best5 with 300s (1) cores
% 0.21/0.30 % Starting almost_fo_3_lam with 300s (1) cores
% 0.21/0.30 % Starting new_bool_5 with 300s (1) cores
% 0.21/0.30 % Starting pre_casc_3 with 300s (1) cores
% 0.21/0.30 % Starting ho_unfolding_8 with 300s (1) cores
% 0.21/0.30 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.30 % Starting new_bool_3 with 300s (1) cores
% 0.21/0.30 % Starting new_ho_5 with 300s (1) cores
% 0.21/0.30 % new_bool_5 with pid 1288427 completed with status 0
% 0.21/0.30 % Result found by new_bool_5
% 0.21/0.30 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.21/0.30 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.30 % Starting ehoh_best5 with 300s (1) cores
% 0.21/0.30 % Starting almost_fo_3_lam with 300s (1) cores
% 0.21/0.30 % Starting new_bool_5 with 300s (1) cores
% 0.21/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.21/0.30 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.21/0.30 % Search class: HGHSM-FSLM31-MHFMMSBN
% 0.21/0.30 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.30 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.30 % SubtermCWHack with pid 1288435 completed with status 0
% 0.21/0.30 % Result found by SubtermCWHack
% 0.21/0.30 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.21/0.30 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.30 % Starting ehoh_best5 with 300s (1) cores
% 0.21/0.30 % Starting almost_fo_3_lam with 300s (1) cores
% 0.21/0.30 % Starting new_bool_5 with 300s (1) cores
% 0.21/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.21/0.30 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.21/0.30 % Search class: HGHSM-FSLM31-MHFMMSBN
% 0.21/0.30 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.30 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.30 % Preprocessing time : 0.002 s
% 0.21/0.30
% 0.21/0.30 % Proof found!
% 0.21/0.30 % SZS status Theorem
% 0.21/0.30 % SZS output start CNFRefutation
% 0.21/0.30 thf(decl_23, type, in: $i > $i > $o).
% 0.21/0.30 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.21/0.30 thf(decl_25, type, setextAx: $o).
% 0.21/0.30 thf(decl_26, type, emptyset: $i).
% 0.21/0.30 thf(decl_27, type, emptysetAx: $o).
% 0.21/0.30 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.21/0.30 thf(decl_29, type, setadjoinAx: $o).
% 0.21/0.30 thf(decl_30, type, powerset: $i > $i).
% 0.21/0.30 thf(decl_31, type, powersetAx: $o).
% 0.21/0.30 thf(decl_32, type, setunion: $i > $i).
% 0.21/0.30 thf(decl_33, type, setunionAx: $o).
% 0.21/0.30 thf(decl_34, type, omega: $i).
% 0.21/0.30 thf(decl_35, type, omega0Ax: $o).
% 0.21/0.30 thf(decl_36, type, omegaSAx: $o).
% 0.21/0.30 thf(decl_37, type, omegaIndAx: $o).
% 0.21/0.30 thf(decl_38, type, replAx: $o).
% 0.21/0.30 thf(decl_39, type, foundationAx: $o).
% 0.21/0.30 thf(decl_40, type, wellorderingAx: $o).
% 0.21/0.30 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.21/0.30 thf(decl_42, type, descrp: $o).
% 0.21/0.30 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.30 thf(decl_44, type, dsetconstrI: $o).
% 0.21/0.30 thf(decl_45, type, dsetconstrEL: $o).
% 0.21/0.30 thf(decl_46, type, dsetconstrER: $o).
% 0.21/0.30 thf(decl_47, type, exuE1: $o).
% 0.21/0.30 thf(decl_48, type, prop2set: $o > $i).
% 0.21/0.30 thf(decl_49, type, prop2setE: $o).
% 0.21/0.30 thf(decl_50, type, emptysetE: $o).
% 0.21/0.30 thf(decl_51, type, emptysetimpfalse: $o).
% 0.21/0.30 thf(decl_52, type, notinemptyset: $o).
% 0.21/0.30 thf(decl_53, type, exuE3e: $o).
% 0.21/0.30 thf(decl_54, type, setext: $o).
% 0.21/0.30 thf(decl_55, type, emptyI: $o).
% 0.21/0.30 thf(decl_56, type, noeltsimpempty: $o).
% 0.21/0.30 thf(decl_57, type, setbeta: $o).
% 0.21/0.30 thf(decl_58, type, nonempty: $i > $o).
% 0.21/0.30 thf(decl_59, type, nonemptyE1: $o).
% 0.21/0.30 thf(decl_60, type, nonemptyI: $o).
% 0.21/0.30 thf(decl_61, type, nonemptyI1: $o).
% 0.21/0.30 thf(decl_62, type, setadjoinIL: $o).
% 0.21/0.30 thf(decl_63, type, emptyinunitempty: $o).
% 0.21/0.30 thf(decl_64, type, setadjoinIR: $o).
% 0.21/0.30 thf(decl_65, type, setadjoinE: $o).
% 0.21/0.30 thf(decl_66, type, setadjoinOr: $o).
% 0.21/0.30 thf(decl_67, type, setoftrueEq: $o).
% 0.21/0.30 thf(decl_68, type, powersetI: $o).
% 0.21/0.30 thf(decl_69, type, emptyinPowerset: $o).
% 0.21/0.30 thf(decl_70, type, emptyInPowerset: $o).
% 0.21/0.30 thf(decl_71, type, powersetE: $o).
% 0.21/0.30 thf(decl_72, type, setunionI: $o).
% 0.21/0.30 thf(decl_73, type, setunionE: $o).
% 0.21/0.30 thf(decl_74, type, subPowSU: $o).
% 0.21/0.30 thf(decl_75, type, exuE2: $o).
% 0.21/0.30 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.21/0.30 thf(decl_77, type, uniqinunit: $o).
% 0.21/0.30 thf(decl_78, type, notinsingleton: $o).
% 0.21/0.30 thf(decl_79, type, eqinunit: $o).
% 0.21/0.30 thf(decl_80, type, singletonsswitch: $o).
% 0.21/0.30 thf(decl_81, type, upairsetE: $o).
% 0.21/0.30 thf(decl_82, type, upairsetIL: $o).
% 0.21/0.30 thf(decl_83, type, upairsetIR: $o).
% 0.21/0.30 thf(decl_84, type, emptyE1: $o).
% 0.21/0.30 thf(decl_85, type, vacuousDall: $o).
% 0.21/0.30 thf(decl_86, type, quantDeMorgan1: $o).
% 0.21/0.30 thf(decl_87, type, quantDeMorgan2: $o).
% 0.21/0.30 thf(decl_88, type, quantDeMorgan3: $o).
% 0.21/0.30 thf(decl_89, type, quantDeMorgan4: $o).
% 0.21/0.30 thf(decl_90, type, prop2setI: $o).
% 0.21/0.30 thf(decl_92, type, prop2set2propI: $o).
% 0.21/0.30 thf(decl_93, type, notdexE: $o).
% 0.21/0.30 thf(decl_94, type, notdallE: $o).
% 0.21/0.30 thf(decl_95, type, exuI1: $o).
% 0.21/0.30 thf(decl_96, type, exuI3: $o).
% 0.21/0.30 thf(decl_97, type, exuI2: $o).
% 0.21/0.30 thf(decl_98, type, inCongP: $o).
% 0.21/0.30 thf(decl_99, type, in__Cong: $o).
% 0.21/0.30 thf(decl_100, type, exuE3u: $o).
% 0.21/0.30 thf(decl_101, type, exu__Cong: $o).
% 0.21/0.30 thf(decl_102, type, emptyset__Cong: $o).
% 0.21/0.30 thf(decl_103, type, setadjoin__Cong: $o).
% 0.21/0.30 thf(decl_104, type, powerset__Cong: $o).
% 0.21/0.30 thf(decl_105, type, setunion__Cong: $o).
% 0.21/0.30 thf(decl_106, type, omega__Cong: $o).
% 0.21/0.30 thf(decl_107, type, exuEu: $o).
% 0.21/0.30 thf(decl_108, type, descr__Cong: $o).
% 0.21/0.30 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.21/0.30 thf(decl_110, type, subset: $i > $i > $o).
% 0.21/0.30 thf(decl_113, type, subsetI1: $o).
% 0.21/0.30 thf(decl_114, type, eqimpsubset2: $o).
% 0.21/0.30 thf(decl_115, type, eqimpsubset1: $o).
% 0.21/0.30 thf(decl_116, type, subsetI2: $o).
% 0.21/0.30 thf(decl_117, type, emptysetsubset: $o).
% 0.21/0.30 thf(decl_118, type, subsetE: $o).
% 0.21/0.30 thf(decl_119, type, subsetE2: $o).
% 0.21/0.30 thf(decl_120, type, notsubsetI: $o).
% 0.21/0.30 thf(decl_121, type, notequalI1: $o).
% 0.21/0.30 thf(decl_122, type, notequalI2: $o).
% 0.21/0.30 thf(decl_123, type, subsetRefl: $o).
% 0.21/0.30 thf(decl_124, type, subsetTrans: $o).
% 0.21/0.30 thf(decl_125, type, setadjoinSub: $o).
% 0.21/0.30 thf(decl_126, type, setadjoinSub2: $o).
% 0.21/0.30 thf(decl_127, type, subset2powerset: $o).
% 0.21/0.30 thf(decl_128, type, setextsub: $o).
% 0.21/0.30 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.21/0.30 thf(decl_130, type, powersetI1: $o).
% 0.21/0.30 thf(decl_131, type, powersetE1: $o).
% 0.21/0.30 thf(decl_132, type, inPowerset: $o).
% 0.21/0.30 thf(decl_133, type, powersetsubset: $o).
% 0.21/0.30 thf(decl_134, type, sepInPowerset: $o).
% 0.21/0.30 thf(decl_135, type, sepSubset: $o).
% 0.21/0.30 thf(decl_136, type, binunion: $i > $i > $i).
% 0.21/0.30 thf(decl_137, type, binunionIL: $o).
% 0.21/0.30 thf(decl_138, type, upairset2IR: $o).
% 0.21/0.30 thf(decl_139, type, binunionIR: $o).
% 0.21/0.30 thf(decl_140, type, binunionEcases: $o).
% 0.21/0.30 thf(decl_141, type, binunionE: $o).
% 0.21/0.30 thf(decl_142, type, binunionLsub: $o).
% 0.21/0.30 thf(decl_143, type, binunionRsub: $o).
% 0.21/0.30 thf(decl_144, type, binintersect: $i > $i > $i).
% 0.21/0.30 thf(decl_145, type, binintersectI: $o).
% 0.21/0.30 thf(decl_146, type, binintersectSubset5: $o).
% 0.21/0.30 thf(decl_147, type, binintersectEL: $o).
% 0.21/0.30 thf(decl_148, type, binintersectLsub: $o).
% 0.21/0.30 thf(decl_149, type, binintersectSubset2: $o).
% 0.21/0.30 thf(decl_150, type, binintersectSubset3: $o).
% 0.21/0.30 thf(decl_151, type, binintersectER: $o).
% 0.21/0.30 thf(decl_152, type, disjointsetsI1: $o).
% 0.21/0.30 thf(decl_153, type, binintersectRsub: $o).
% 0.21/0.30 thf(decl_154, type, binintersectSubset4: $o).
% 0.21/0.30 thf(decl_155, type, binintersectSubset1: $o).
% 0.21/0.30 thf(decl_156, type, bs114d: $o).
% 0.21/0.30 thf(decl_158, type, setminus: $i > $i > $i).
% 0.21/0.30 thf(decl_159, type, setminusI: $o).
% 0.21/0.30 thf(decl_160, type, setminusEL: $o).
% 0.21/0.30 thf(decl_161, type, setminusER: $o).
% 0.21/0.30 thf(decl_162, type, setminusSubset2: $o).
% 0.21/0.30 thf(decl_163, type, setminusERneg: $o).
% 0.21/0.30 thf(decl_164, type, setminusELneg: $o).
% 0.21/0.30 thf(decl_165, type, setminusILneg: $o).
% 0.21/0.30 thf(decl_166, type, setminusIRneg: $o).
% 0.21/0.30 thf(decl_167, type, setminusLsub: $o).
% 0.21/0.30 thf(decl_168, type, setminusSubset1: $o).
% 0.21/0.30 thf(decl_169, type, symdiff: $i > $i > $i).
% 0.21/0.30 thf(decl_170, type, symdiffE: $o).
% 0.21/0.30 thf(decl_171, type, symdiffI1: $o).
% 0.21/0.30 thf(decl_172, type, symdiffI2: $o).
% 0.21/0.30 thf(decl_173, type, symdiffIneg1: $o).
% 0.21/0.30 thf(decl_174, type, symdiffIneg2: $o).
% 0.21/0.30 thf(decl_175, type, iskpair: $i > $o).
% 0.21/0.30 thf(decl_176, type, secondinupair: $o).
% 0.21/0.30 thf(decl_177, type, setukpairIL: $o).
% 0.21/0.30 thf(decl_178, type, setukpairIR: $o).
% 0.21/0.30 thf(decl_179, type, kpairiskpair: $o).
% 0.21/0.30 thf(decl_180, type, kpair: $i > $i > $i).
% 0.21/0.30 thf(decl_181, type, kpairp: $o).
% 0.21/0.30 thf(decl_183, type, singletonsubset: $o).
% 0.21/0.30 thf(decl_184, type, epred1_0: $o).
% 0.21/0.30 thf(decl_185, type, esk1_2: $i > $i > $i).
% 0.21/0.30 thf(decl_186, type, esk2_2: $i > $i > $i).
% 0.21/0.30 thf(decl_187, type, esk3_2: $i > $i > $i).
% 0.21/0.30 thf(decl_188, type, esk4_1: $i > $i).
% 0.21/0.30 thf(decl_189, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.21/0.30 thf(decl_190, type, esk6_2: ($i > $i > $o) > $i > $i).
% 0.21/0.30 thf(decl_191, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 0.21/0.30 thf(decl_192, type, esk8_1: $i > $i).
% 0.21/0.30 thf(decl_193, type, esk9_1: ($i > $o) > $i).
% 0.21/0.30 thf(decl_194, type, esk10_1: ($i > $o) > $i).
% 0.21/0.30 thf(decl_195, type, esk11_2: $i > $i > $i).
% 0.21/0.30 thf(decl_196, type, esk12_2: $i > $i > $i).
% 0.21/0.30 thf(decl_197, type, esk13_1: $i > $i).
% 0.21/0.30 thf(decl_198, type, esk14_1: $i > $i).
% 0.21/0.30 thf(decl_199, type, esk15_1: $i > $i).
% 0.21/0.30 thf(decl_200, type, esk16_2: $i > $i > $i).
% 0.21/0.30 thf(decl_201, type, esk17_3: $i > $i > $o > $i).
% 0.21/0.30 thf(decl_202, type, esk18_1: ($i > $o) > $i).
% 0.21/0.30 thf(decl_203, type, esk19_1: $i > $i).
% 0.21/0.30 thf(decl_204, type, esk20_2: $i > ($i > $o) > $i).
% 0.21/0.30 thf(decl_205, type, esk21_2: $i > ($i > $o) > $i).
% 0.21/0.30 thf(decl_206, type, esk22_2: $i > ($i > $o) > $i).
% 0.21/0.30 thf(decl_207, type, esk23_2: $i > ($i > $o) > $i).
% 0.21/0.30 thf(decl_208, type, esk24_2: $i > ($i > $o) > $i).
% 0.21/0.30 thf(decl_209, type, esk25_2: $i > ($i > $o) > $i).
% 0.21/0.30 thf(decl_210, type, esk26_2: ($i > $o) > $i > $i).
% 0.21/0.30 thf(decl_211, type, esk27_1: ($i > $o) > $i).
% 0.21/0.30 thf(decl_212, type, esk28_1: ($i > $o) > $i).
% 0.21/0.30 thf(decl_213, type, esk29_2: ($i > $o) > $i > $i).
% 0.21/0.30 thf(decl_214, type, esk30_2: ($i > $o) > ($i > $o) > $i).
% 0.21/0.30 thf(decl_215, type, esk31_2: ($i > $o) > ($i > $o) > $i).
% 0.21/0.30 thf(decl_216, type, esk32_2: ($i > $o) > ($i > $o) > $i).
% 0.21/0.30 thf(decl_217, type, esk33_2: ($i > $o) > ($i > $o) > $i).
% 0.21/0.30 thf(decl_218, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.21/0.30 thf(decl_219, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.21/0.30 thf(decl_220, type, esk36_2: $i > $i > $i).
% 0.21/0.30 thf(decl_221, type, esk37_2: $i > $i > $i).
% 0.21/0.30 thf(decl_222, type, esk38_2: $i > $i > $i).
% 0.21/0.30 thf(decl_223, type, esk39_0: $i).
% 0.21/0.30 thf(decl_224, type, esk40_0: $i).
% 0.21/0.30 thf(singletoninpowerset, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', singletoninpowerset)).
% 0.21/0.30 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', nonemptyI)).
% 0.21/0.30 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setbeta)).
% 0.21/0.30 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setoftrueEq)).
% 0.21/0.30 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.GeNnJZ1bwx/E---3.1_1288412.p', exuE2)).
% 0.21/0.30 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.GeNnJZ1bwx/E---3.1_1288412.p', emptyE1)).
% 0.21/0.30 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', exuE3e)).
% 0.21/0.30 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', exuI1)).
% 0.21/0.30 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', exuI3)).
% 0.21/0.30 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', exu__Cong)).
% 0.21/0.30 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', exuE3u)).
% 0.21/0.30 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.GeNnJZ1bwx/E---3.1_1288412.p', exuI2)).
% 0.21/0.30 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', dsetconstr__Cong)).
% 0.21/0.30 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', descr__Cong)).
% 0.21/0.30 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', exuEu)).
% 0.21/0.30 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', sepSubset)).
% 0.21/0.30 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', sepInPowerset)).
% 0.21/0.30 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.GeNnJZ1bwx/E---3.1_1288412.p', exuE1)).
% 0.21/0.30 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', dsetconstrER)).
% 0.21/0.30 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', dsetconstrEL)).
% 0.21/0.30 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', dsetconstrI)).
% 0.21/0.30 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', descrp)).
% 0.21/0.30 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', replAx)).
% 0.21/0.30 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', noeltsimpempty)).
% 0.21/0.30 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binintersectLsub)).
% 0.21/0.30 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binintersectSubset5)).
% 0.21/0.30 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binintersectEL)).
% 0.21/0.30 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binintersectSubset2)).
% 0.21/0.30 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binintersectSubset3)).
% 0.21/0.30 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binintersectER)).
% 0.21/0.30 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', disjointsetsI1)).
% 0.21/0.30 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binintersectRsub)).
% 0.21/0.30 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binintersectSubset4)).
% 0.21/0.30 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binintersectSubset1)).
% 0.21/0.30 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', bs114d)).
% 0.21/0.30 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setminusI)).
% 0.21/0.30 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setminusEL)).
% 0.21/0.30 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setminusER)).
% 0.21/0.30 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setminusSubset2)).
% 0.21/0.30 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setminusERneg)).
% 0.21/0.30 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setminusELneg)).
% 0.21/0.30 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', emptysetimpfalse)).
% 0.21/0.30 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setminusILneg)).
% 0.21/0.30 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', nonemptyI1)).
% 0.21/0.30 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setminusIRneg)).
% 0.21/0.30 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setminusLsub)).
% 0.21/0.30 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', nonemptyE1)).
% 0.21/0.30 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setminusSubset1)).
% 0.21/0.30 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', symdiffE)).
% 0.21/0.30 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setunionE)).
% 0.21/0.30 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setunionI)).
% 0.21/0.30 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', symdiffI1)).
% 0.21/0.30 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', emptyI)).
% 0.21/0.30 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', symdiffI2)).
% 0.21/0.30 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.GeNnJZ1bwx/E---3.1_1288412.p', setext)).
% 0.21/0.30 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', symdiffIneg1)).
% 0.21/0.30 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setadjoinIL)).
% 0.21/0.30 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', symdiffIneg2)).
% 0.21/0.30 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', secondinupair)).
% 0.21/0.30 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setukpairIL)).
% 0.21/0.30 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setukpairIR)).
% 0.21/0.30 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', kpairiskpair)).
% 0.21/0.30 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', kpairp)).
% 0.21/0.30 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', singletonsubset)).
% 0.21/0.30 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', emptyinPowerset)).
% 0.21/0.30 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', powersetI)).
% 0.21/0.30 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setadjoinOr)).
% 0.21/0.30 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setadjoinE)).
% 0.21/0.30 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setadjoinIR)).
% 0.21/0.30 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', emptyinunitempty)).
% 0.21/0.30 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', emptyInPowerset)).
% 0.21/0.30 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', notinemptyset)).
% 0.21/0.30 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', uniqinunit)).
% 0.21/0.30 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', nonemptyImpWitness)).
% 0.21/0.30 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', subPowSU)).
% 0.21/0.30 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', omega__Cong)).
% 0.21/0.30 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setunion__Cong)).
% 0.21/0.30 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', eqimpsubset1)).
% 0.21/0.30 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', notequalI2)).
% 0.21/0.30 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', notequalI1)).
% 0.21/0.30 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', notsubsetI)).
% 0.21/0.30 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', powersetE)).
% 0.21/0.30 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', notinsingleton)).
% 0.21/0.30 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', vacuousDall)).
% 0.21/0.30 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', upairsetIR)).
% 0.21/0.30 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', upairsetIL)).
% 0.21/0.30 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', upairsetE)).
% 0.21/0.30 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', singletonsswitch)).
% 0.21/0.30 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', eqinunit)).
% 0.21/0.30 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', quantDeMorgan1)).
% 0.21/0.30 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', notdallE)).
% 0.21/0.30 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', notdexE)).
% 0.21/0.30 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', prop2setI)).
% 0.21/0.30 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', quantDeMorgan4)).
% 0.21/0.30 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', quantDeMorgan3)).
% 0.21/0.30 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', quantDeMorgan2)).
% 0.21/0.30 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setadjoin__Cong)).
% 0.21/0.30 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', emptyset__Cong)).
% 0.21/0.30 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', in__Cong)).
% 0.21/0.30 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', inCongP)).
% 0.21/0.30 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', powerset__Cong)).
% 0.21/0.30 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', eqimpsubset2)).
% 0.21/0.30 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', subsetI1)).
% 0.21/0.30 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', subsetE2)).
% 0.21/0.30 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', subsetE)).
% 0.21/0.30 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', emptysetsubset)).
% 0.21/0.30 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', subsetI2)).
% 0.21/0.30 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', subsetRefl)).
% 0.21/0.30 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', powersetI1)).
% 0.21/0.30 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', subsetemptysetimpeq)).
% 0.21/0.30 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setextsub)).
% 0.21/0.30 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', subset2powerset)).
% 0.21/0.30 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setadjoinSub2)).
% 0.21/0.30 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setadjoinSub)).
% 0.21/0.30 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', subsetTrans)).
% 0.21/0.30 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', powersetE1)).
% 0.21/0.30 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binunionIR)).
% 0.21/0.30 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', upairset2IR)).
% 0.21/0.30 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binunionIL)).
% 0.21/0.30 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', powersetsubset)).
% 0.21/0.30 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', inPowerset)).
% 0.21/0.30 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binunionE)).
% 0.21/0.30 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binunionLsub)).
% 0.21/0.30 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binunionRsub)).
% 0.21/0.30 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binintersectI)).
% 0.21/0.30 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', binunionEcases)).
% 0.21/0.30 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', emptysetE)).
% 0.21/0.30 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', prop2setE)).
% 0.21/0.30 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.GeNnJZ1bwx/E---3.1_1288412.p', wellorderingAx)).
% 0.21/0.30 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.GeNnJZ1bwx/E---3.1_1288412.p', foundationAx)).
% 0.21/0.30 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', omegaIndAx)).
% 0.21/0.30 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', omegaSAx)).
% 0.21/0.30 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', omega0Ax)).
% 0.21/0.30 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setunionAx)).
% 0.21/0.30 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', powersetAx)).
% 0.21/0.30 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setadjoinAx)).
% 0.21/0.30 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', emptysetAx)).
% 0.21/0.30 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.GeNnJZ1bwx/E---3.1_1288412.p', setextAx)).
% 0.21/0.30 thf(c_0_138, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[singletoninpowerset])).
% 0.21/0.30 thf(c_0_139, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.21/0.30 thf(c_0_140, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.21/0.30 thf(c_0_141, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.21/0.30 thf(c_0_142, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.21/0.30 thf(c_0_143, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 0.21/0.30 thf(c_0_144, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.21/0.30 thf(c_0_145, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 0.21/0.30 thf(c_0_146, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.21/0.30 thf(c_0_147, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.21/0.30 thf(c_0_148, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 0.21/0.30 thf(c_0_149, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.21/0.30 thf(c_0_150, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.21/0.30 thf(c_0_151, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.21/0.30 thf(c_0_152, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.21/0.30 thf(c_0_153, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.21/0.30 thf(c_0_154, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.21/0.30 thf(c_0_155, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.21/0.30 thf(c_0_156, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.21/0.30 thf(c_0_157, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.21/0.30 thf(c_0_158, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.21/0.30 thf(c_0_159, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.21/0.30 thf(c_0_160, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.21/0.30 thf(c_0_161, plain, ((epred1_0)<=>![X415:$i]:(?[X416:$i]:((((![X417:$i]:(((in @ X417 @ X416)=>![X418:$i]:(((in @ X418 @ X417)=>(in @ X418 @ X415)))))&![X419:$i, X420:$i]:((((in @ X419 @ X415)&(in @ X420 @ X415))=>(![X421:$i]:(((in @ X421 @ X416)=>((in @ X419 @ X421)<=>(in @ X420 @ X421))))=>((X419)=(X420))))))&![X422:$i, X423:$i]:((((in @ X422 @ X416)&(in @ X423 @ X416))=>(![X424:$i]:(((in @ X424 @ X422)=>(in @ X424 @ X423)))|![X425:$i]:(((in @ X425 @ X423)=>(in @ X425 @ X422)))))))&![X426:$i]:(((![X427:$i]:(((in @ X427 @ X426)=>(in @ X427 @ X415)))&?[X428:$i]:((in @ X428 @ X426)))=>?[X429:$i, X430:$i]:(((((in @ X429 @ X416)&(in @ X430 @ X426))&~(?[X431:$i]:(((in @ X431 @ X429)&(in @ X431 @ X426)))))&![X432:$i]:(((in @ X432 @ X416)=>(![X433:$i]:(((in @ X433 @ X432)=>(in @ X433 @ X429)))|(in @ X430 @ X432)))))))))))), introduced(definition)).
% 0.21/0.30 thf(c_0_162, negated_conjecture, ~((![X388:$i, X389:$i]:((![X390:$i]:(((in @ X390 @ X388)<=>(in @ X390 @ X389)))=>((X388)=(X389))))=>(![X391:$i]:(~(in @ X391 @ emptyset))=>(![X392:$i, X393:$i, X394:$i]:(((in @ X394 @ (setadjoin @ X392 @ X393))<=>(((X394)=(X392))|(in @ X394 @ X393))))=>(![X395:$i, X396:$i]:(((in @ X396 @ (powerset @ X395))<=>![X397:$i]:(((in @ X397 @ X396)=>(in @ X397 @ X395)))))=>(![X398:$i, X399:$i]:(((in @ X399 @ (setunion @ X398))<=>?[X400:$i]:(((in @ X399 @ X400)&(in @ X400 @ X398)))))=>((in @ emptyset @ omega)=>(![X401:$i]:(((in @ X401 @ omega)=>(in @ (setadjoin @ X401 @ X401) @ omega)))=>(![X402:$i]:((((in @ emptyset @ X402)&![X403:$i]:((((in @ X403 @ omega)&(in @ X403 @ X402))=>(in @ (setadjoin @ X403 @ X403) @ X402))))=>![X404:$i]:(((in @ X404 @ omega)=>(in @ X404 @ X402)))))=>(![X405:$i > $i > $o, X406:$i]:((![X407:$i]:(((in @ X407 @ X406)=>(exu @ (X405 @ X407))))=>?[X408:$i]:(![X409:$i]:(((in @ X409 @ X408)<=>?[X410:$i]:(((in @ X410 @ X406)&(X405 @ X410 @ X409))))))))=>(![X411:$i]:((?[X412:$i]:((in @ X412 @ X411))=>?[X413:$i]:(((in @ X413 @ X411)&~(?[X414:$i]:(((in @ X414 @ X413)&(in @ X414 @ X411))))))))=>((epred1_0)=>(![X434:$i > $o]:(((exu @ X434)=>(X434 @ (descr @ (^[Z0:$i]:(X434 @ Z0))))))=>(![X435:$i, X436:$i > $o, X437:$i]:(((in @ X437 @ X435)=>((X436 @ X437)=>(in @ X437 @ (dsetconstr @ X435 @ X436)))))=>(![X438:$i, X439:$i > $o, X440:$i]:(((in @ X440 @ (dsetconstr @ X438 @ X439))=>(in @ X440 @ X438)))=>(![X441:$i, X442:$i > $o, X443:$i]:(((in @ X443 @ (dsetconstr @ X441 @ X442))=>(X442 @ X443)))=>(![X444:$i > $o]:(((exu @ X444)=>?[X445:$i]:(((X444 @ X445)&![X446:$i]:(((X444 @ X446)=>((X445)=(X446))))))))=>(![X447:$o, X448:$i]:(((in @ X448 @ (prop2set @ ((X447))))=>(X447)))=>(![X449:$i]:(((in @ X449 @ emptyset)=>![X450:$o]:((X450))))=>(![X451:$i]:(((in @ X451 @ emptyset)=>~($true)))=>(![X452:$i]:(~(in @ X452 @ emptyset))=>(![X453:$i > $o]:(((exu @ X453)=>?[X454:$i]:((X453 @ X454))))=>(![X455:$i, X456:$i]:((![X457:$i]:(((in @ X457 @ X455)=>(in @ X457 @ X456)))=>(![X458:$i]:(((in @ X458 @ X456)=>(in @ X458 @ X455)))=>((X455)=(X456)))))=>(![X459:$i]:((![X460:$i]:(~(in @ X460 @ X459))=>((X459)=(emptyset))))=>(![X461:$i]:((![X462:$i]:(~(in @ X462 @ X461))=>((X461)=(emptyset))))=>(![X463:$i, X464:$i > $o, X465:$i]:(((in @ X465 @ X463)=>((in @ X465 @ (dsetconstr @ X463 @ X464))<=>(X464 @ X465))))=>(![X466:$i]:(((nonempty @ X466)=>?[X467:$i]:((in @ X467 @ X466))))=>(![X468:$i, X469:$i > $o, X470:$i]:(((in @ X470 @ X468)=>((X469 @ X470)=>(nonempty @ (dsetconstr @ X468 @ X469)))))=>(![X471:$i]:((?[X472:$i]:((in @ X472 @ X471))=>(nonempty @ X471)))=>(![X473:$i, X474:$i]:((in @ X473 @ (setadjoin @ X473 @ X474)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X475:$i, X476:$i, X477:$i]:(((in @ X477 @ X476)=>(in @ X477 @ (setadjoin @ X475 @ X476))))=>(![X478:$i, X479:$i, X480:$i]:(((in @ X480 @ (setadjoin @ X478 @ X479))=>![X481:$o]:(((((X480)=(X478))=>(X481))=>(((in @ X480 @ X479)=>(X481))=>(X481))))))=>(![X482:$i, X483:$i, X484:$i]:(((in @ X484 @ (setadjoin @ X482 @ X483))=>(((X484)=(X482))|(in @ X484 @ X483))))=>(![X485:$i]:(((dsetconstr @ X485 @ (^[Z0:$i]:($true)))=(X485)))=>(![X486:$i, X487:$i]:((![X488:$i]:(((in @ X488 @ X487)=>(in @ X488 @ X486)))=>(in @ X487 @ (powerset @ X486))))=>(![X489:$i]:((in @ emptyset @ (powerset @ X489)))=>(![X490:$i]:((in @ emptyset @ (powerset @ X490)))=>(![X491:$i, X492:$i, X493:$i]:(((in @ X492 @ (powerset @ X491))=>((in @ X493 @ X492)=>(in @ X493 @ X491))))=>(![X494:$i, X495:$i, X496:$i]:(((in @ X495 @ X496)=>((in @ X496 @ X494)=>(in @ X495 @ (setunion @ X494)))))=>(![X497:$i, X498:$i]:(((in @ X498 @ (setunion @ X497))=>![X499:$o]:((![X500:$i]:(((in @ X498 @ X500)=>((in @ X500 @ X497)=>(X499))))=>(X499)))))=>(![X501:$i, X502:$i]:(((in @ X502 @ X501)=>(in @ X502 @ (powerset @ (setunion @ X501)))))=>(![X503:$i > $o]:(((exu @ X503)=>?[X504:$i]:(![X505:$i]:(((X503 @ X505)<=>((X505)=(X504)))))))=>(![X506:$i]:(((nonempty @ X506)=>?[X507:$i]:(((in @ X507 @ X506)&$true))))=>(![X508:$i, X509:$i]:(((in @ X508 @ (setadjoin @ X509 @ emptyset))=>((X508)=(X509))))=>(![X510:$i, X511:$i]:((((X510)!=(X511))=>~(in @ X511 @ (setadjoin @ X510 @ emptyset))))=>(![X512:$i, X513:$i]:((((X512)=(X513))=>(in @ X512 @ (setadjoin @ X513 @ emptyset))))=>(![X514:$i, X515:$i]:(((in @ X514 @ (setadjoin @ X515 @ emptyset))=>(in @ X515 @ (setadjoin @ X514 @ emptyset))))=>(![X516:$i, X517:$i, X518:$i]:(((in @ X518 @ (setadjoin @ X516 @ (setadjoin @ X517 @ emptyset)))=>(((X518)=(X516))|((X518)=(X517)))))=>(![X519:$i, X520:$i]:((in @ X519 @ (setadjoin @ X519 @ (setadjoin @ X520 @ emptyset))))=>(![X521:$i, X522:$i]:((in @ X522 @ (setadjoin @ X521 @ (setadjoin @ X522 @ emptyset))))=>(![X523:$i, X524:$i > $o]:((?[X525:$i]:(((in @ X525 @ X523)&(X524 @ X525)))=>(((dsetconstr @ X523 @ X524)=(emptyset))=>~($true))))=>(![X526:$i > $o, X527:$i]:(((in @ X527 @ emptyset)=>(X526 @ X527)))=>(![X528:$i, X529:$i > $o]:((~(![X530:$i]:(((in @ X530 @ X528)=>(X529 @ X530))))=>?[X531:$i]:(((in @ X531 @ X528)&~((X529 @ X531))))))=>(![X532:$i, X533:$i > $o]:((![X534:$i]:(((in @ X534 @ X532)=>~((X533 @ X534))))=>~(?[X535:$i]:(((in @ X535 @ X532)&(X533 @ X535))))))=>(![X536:$i, X537:$i > $o]:((~(?[X538:$i]:(((in @ X538 @ X536)&(X537 @ X538))))=>![X539:$i]:(((in @ X539 @ X536)=>~((X537 @ X539))))))=>(![X540:$i, X541:$i > $o]:((?[X542:$i]:(((in @ X542 @ X540)&~((X541 @ X542))))=>~(![X543:$i]:(((in @ X543 @ X540)=>(X541 @ X543))))))=>(![X544:$o]:(((X544)=>(in @ emptyset @ (prop2set @ ((X544))))))=>((prop2set2propI)=>(![X545:$i, X546:$i > $o]:((~(?[X547:$i]:(((in @ X547 @ X545)&(X546 @ X547))))=>![X548:$i]:(((in @ X548 @ X545)=>~((X546 @ X548))))))=>(![X549:$i, X550:$i > $o]:((~(![X551:$i]:(((in @ X551 @ X549)=>(X550 @ X551))))=>?[X552:$i]:(((in @ X552 @ X549)&~((X550 @ X552))))))=>(![X553:$i > $o]:((?[X554:$i]:(((X553 @ X554)&![X555:$i]:(((X553 @ X555)=>((X554)=(X555))))))=>(exu @ X553)))=>(![X556:$i > $o]:((?[X557:$i]:((X556 @ X557))=>(![X558:$i, X559:$i]:(((X556 @ X558)=>((X556 @ X559)=>((X558)=(X559)))))=>(exu @ X556))))=>(![X560:$i > $o]:((?[X561:$i]:(![X562:$i]:(((X560 @ X562)<=>((X562)=(X561)))))=>(exu @ X560)))=>(![X563:$i, X564:$i]:((((X563)=(X564))=>![X565:$i, X566:$i]:((((X565)=(X566))=>((in @ X565 @ X563)=>(in @ X566 @ X564))))))=>(![X567:$i, X568:$i]:((((X567)=(X568))=>![X569:$i, X570:$i]:((((X569)=(X570))=>((in @ X569 @ X567)<=>(in @ X570 @ X568))))))=>(![X571:$i > $o]:(((exu @ X571)=>![X572:$i, X573:$i]:(((X571 @ X572)=>((X571 @ X573)=>((X572)=(X573)))))))=>(![X574:$i > $o, X575:$i > $o]:((![X576:$i, X577:$i]:((((X576)=(X577))=>((X574 @ X576)<=>(X575 @ X577))))=>((exu @ X574)<=>(exu @ X575))))=>(((emptyset)=(emptyset))=>(![X578:$i, X579:$i]:((((X578)=(X579))=>![X580:$i, X581:$i]:((((X580)=(X581))=>((setadjoin @ X578 @ X580)=(setadjoin @ X579 @ X581))))))=>(![X582:$i, X583:$i]:((((X582)=(X583))=>((powerset @ X582)=(powerset @ X583))))=>(![X584:$i, X585:$i]:((((X584)=(X585))=>((setunion @ X584)=(setunion @ X585))))=>(((omega)=(omega))=>(![X586:$i > $o]:(((exu @ X586)=>![X587:$i, X588:$i]:(((X586 @ X587)=>((X586 @ X588)=>((X587)=(X588)))))))=>(![X589:$i > $o, X590:$i > $o]:((![X591:$i, X592:$i]:((((X591)=(X592))=>((X589 @ X591)<=>(X590 @ X592))))=>((exu @ X589)=>((exu @ X590)=>((descr @ X589)=(descr @ X590))))))=>(![X593:$i, X594:$i]:((((X593)=(X594))=>![X595:$i > $o, X596:$i > $o]:((![X597:$i]:(((in @ X597 @ X593)=>![X598:$i]:(((in @ X598 @ X594)=>(((X597)=(X598))=>((X595 @ X597)<=>(X596 @ X598)))))))=>((dsetconstr @ X593 @ X595)=(dsetconstr @ X594 @ X596))))))=>(![X599:$i, X600:$i]:((![X601:$i]:(((in @ X601 @ X599)=>(in @ X601 @ X600)))=>(subset @ X599 @ X600)))=>(![X602:$i, X603:$i]:((((X602)=(X603))=>(subset @ X603 @ X602)))=>(![X604:$i, X605:$i]:((((X604)=(X605))=>(subset @ X604 @ X605)))=>(![X606:$i, X607:$i]:((![X608:$i]:(((in @ X608 @ X606)=>(in @ X608 @ X607)))=>(subset @ X606 @ X607)))=>(![X609:$i]:((subset @ emptyset @ X609))=>(![X610:$i, X611:$i, X612:$i]:(((subset @ X610 @ X611)=>((in @ X612 @ X610)=>(in @ X612 @ X611))))=>(![X613:$i, X614:$i, X615:$i]:(((subset @ X613 @ X614)=>(~(in @ X615 @ X614)=>~(in @ X615 @ X613))))=>(![X616:$i, X617:$i, X618:$i]:(((in @ X618 @ X616)=>(~(in @ X618 @ X617)=>~(subset @ X616 @ X617))))=>(![X619:$i, X620:$i]:((~(subset @ X619 @ X620)=>((X619)!=(X620))))=>(![X621:$i, X622:$i, X623:$i]:(((in @ X623 @ X621)=>(~(in @ X623 @ X622)=>((X621)!=(X622)))))=>(![X624:$i]:((subset @ X624 @ X624))=>(![X625:$i, X626:$i, X627:$i]:(((subset @ X625 @ X626)=>((subset @ X626 @ X627)=>(subset @ X625 @ X627))))=>(![X628:$i, X629:$i]:((subset @ X629 @ (setadjoin @ X628 @ X629)))=>(![X630:$i, X631:$i, X632:$i]:(((subset @ X630 @ X632)=>(subset @ X630 @ (setadjoin @ X631 @ X632))))=>(![X633:$i, X634:$i]:(((subset @ X633 @ X634)=>(in @ X633 @ (powerset @ X634))))=>(![X635:$i, X636:$i]:(((subset @ X635 @ X636)=>((subset @ X636 @ X635)=>((X635)=(X636)))))=>(![X637:$i]:(((subset @ X637 @ emptyset)=>((X637)=(emptyset))))=>(![X638:$i, X639:$i]:(((subset @ X639 @ X638)=>(in @ X639 @ (powerset @ X638))))=>(![X640:$i, X641:$i]:(((in @ X641 @ (powerset @ X640))=>(subset @ X641 @ X640)))=>(![X642:$i]:((in @ X642 @ (powerset @ X642)))=>(![X643:$i, X644:$i]:(((subset @ X643 @ X644)=>(subset @ (powerset @ X643) @ (powerset @ X644))))=>(![X645:$i, X646:$i > $o]:((in @ (dsetconstr @ X645 @ X646) @ (powerset @ X645)))=>(![X647:$i, X648:$i > $o]:((subset @ (dsetconstr @ X647 @ X648) @ X647))=>(![X649:$i, X650:$i, X651:$i]:(((in @ X651 @ X649)=>(in @ X651 @ (binunion @ X649 @ X650))))=>(![X652:$i, X653:$i]:((in @ X653 @ (setadjoin @ X652 @ (setadjoin @ X653 @ emptyset))))=>(![X654:$i, X655:$i, X656:$i]:(((in @ X656 @ X655)=>(in @ X656 @ (binunion @ X654 @ X655))))=>(![X657:$i, X658:$i, X659:$i, X660:$o]:(((in @ X659 @ (binunion @ X657 @ X658))=>(((in @ X659 @ X657)=>(X660))=>(((in @ X659 @ X658)=>(X660))=>(X660)))))=>(![X661:$i, X662:$i, X663:$i]:(((in @ X663 @ (binunion @ X661 @ X662))=>((in @ X663 @ X661)|(in @ X663 @ X662))))=>(![X664:$i, X665:$i]:((subset @ X664 @ (binunion @ X664 @ X665)))=>(![X666:$i, X667:$i]:((subset @ X667 @ (binunion @ X666 @ X667)))=>(![X668:$i, X669:$i, X670:$i]:(((in @ X670 @ X668)=>((in @ X670 @ X669)=>(in @ X670 @ (binintersect @ X668 @ X669)))))=>(![X671:$i, X672:$i, X673:$i]:(((subset @ X673 @ X671)=>((subset @ X673 @ X672)=>(subset @ X673 @ (binintersect @ X671 @ X672)))))=>(![X674:$i, X675:$i, X676:$i]:(((in @ X676 @ (binintersect @ X674 @ X675))=>(in @ X676 @ X674)))=>(![X677:$i, X678:$i]:((subset @ (binintersect @ X677 @ X678) @ X677))=>(![X679:$i, X680:$i]:(((subset @ X679 @ X680)=>((binintersect @ X679 @ X680)=(X679))))=>(![X681:$i, X682:$i]:((((binintersect @ X681 @ X682)=(X682))=>(subset @ X682 @ X681)))=>(![X683:$i, X684:$i, X685:$i]:(((in @ X685 @ (binintersect @ X683 @ X684))=>(in @ X685 @ X684)))=>(![X686:$i, X687:$i]:((~(?[X688:$i]:(((in @ X688 @ X686)&(in @ X688 @ X687))))=>((binintersect @ X686 @ X687)=(emptyset))))=>(![X689:$i, X690:$i]:((subset @ (binintersect @ X689 @ X690) @ X690))=>(![X691:$i, X692:$i]:(((subset @ X692 @ X691)=>((binintersect @ X691 @ X692)=(X692))))=>(![X693:$i, X694:$i]:((((binintersect @ X693 @ X694)=(X693))=>(subset @ X693 @ X694)))=>(![X695:$i, X696:$i, X697:$i]:(((binintersect @ X695 @ (binunion @ X696 @ X697))=(binunion @ (binintersect @ X695 @ X696) @ (binintersect @ X695 @ X697))))=>(![X698:$i, X699:$i, X700:$i]:(((in @ X700 @ X698)=>(~(in @ X700 @ X699)=>(in @ X700 @ (setminus @ X698 @ X699)))))=>(![X701:$i, X702:$i, X703:$i]:(((in @ X703 @ (setminus @ X701 @ X702))=>(in @ X703 @ X701)))=>(![X704:$i, X705:$i, X706:$i]:(((in @ X706 @ (setminus @ X704 @ X705))=>~(in @ X706 @ X705)))=>(![X707:$i, X708:$i]:(((subset @ X707 @ X708)=>((setminus @ X707 @ X708)=(emptyset))))=>(![X709:$i, X710:$i, X711:$i]:((~(in @ X711 @ (setminus @ X709 @ X710))=>((in @ X711 @ X709)=>(in @ X711 @ X710))))=>(![X712:$i, X713:$i, X714:$i]:((~(in @ X714 @ (setminus @ X712 @ X713))=>(~(in @ X714 @ X713)=>~(in @ X714 @ X712))))=>(![X715:$i, X716:$i, X717:$i]:((~(in @ X717 @ X715)=>~(in @ X717 @ (setminus @ X715 @ X716))))=>(![X718:$i, X719:$i, X720:$i]:(((in @ X720 @ X719)=>~(in @ X720 @ (setminus @ X718 @ X719))))=>(![X721:$i, X722:$i]:((subset @ (setminus @ X721 @ X722) @ X721))=>(![X723:$i, X724:$i]:((((setminus @ X723 @ X724)=(emptyset))=>(subset @ X723 @ X724)))=>(![X725:$i, X726:$i, X727:$i]:(((in @ X727 @ (symdiff @ X725 @ X726))=>![X728:$o]:((((in @ X727 @ X725)=>(~(in @ X727 @ X726)=>(X728)))=>((~(in @ X727 @ X725)=>((in @ X727 @ X726)=>(X728)))=>(X728))))))=>(![X729:$i, X730:$i, X731:$i]:(((in @ X731 @ X729)=>(~(in @ X731 @ X730)=>(in @ X731 @ (symdiff @ X729 @ X730)))))=>(![X732:$i, X733:$i, X734:$i]:((~(in @ X734 @ X732)=>((in @ X734 @ X733)=>(in @ X734 @ (symdiff @ X732 @ X733)))))=>(![X735:$i, X736:$i, X737:$i]:(((in @ X737 @ X735)=>((in @ X737 @ X736)=>~(in @ X737 @ (symdiff @ X735 @ X736)))))=>(![X738:$i, X739:$i, X740:$i]:((~(in @ X740 @ X738)=>(~(in @ X740 @ X739)=>~(in @ X740 @ (symdiff @ X738 @ X739)))))=>(![X741:$i, X742:$i]:((in @ X742 @ (setadjoin @ X741 @ (setadjoin @ X742 @ emptyset))))=>(![X743:$i, X744:$i]:((in @ X743 @ (setunion @ (setadjoin @ (setadjoin @ X743 @ emptyset) @ (setadjoin @ (setadjoin @ X743 @ (setadjoin @ X744 @ emptyset)) @ emptyset)))))=>(![X745:$i, X746:$i]:((in @ X746 @ (setunion @ (setadjoin @ (setadjoin @ X745 @ emptyset) @ (setadjoin @ (setadjoin @ X745 @ (setadjoin @ X746 @ emptyset)) @ emptyset)))))=>(![X747:$i, X748:$i]:((iskpair @ (setadjoin @ (setadjoin @ X747 @ emptyset) @ (setadjoin @ (setadjoin @ X747 @ (setadjoin @ X748 @ emptyset)) @ emptyset))))=>(![X749:$i, X750:$i]:((iskpair @ (kpair @ X749 @ X750)))=>(![X751:$i, X752:$i]:(((in @ X752 @ X751)=>(subset @ (setadjoin @ X752 @ emptyset) @ X751)))=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(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_138, noeltsimpempty]), binintersectLsub]), binintersectSubset5]), binintersectEL]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), emptysetimpfalse]), setminusILneg]), nonemptyI1]), setminusIRneg]), c_0_139]), setminusLsub]), nonemptyE1]), setminusSubset1]), c_0_140]), symdiffE]), setunionE]), setunionI]), symdiffI1]), emptyI]), symdiffI2]), setext]), symdiffIneg1]), setadjoinIL]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), kpairiskpair]), kpairp]), singletonsubset]), emptyinPowerset]), powersetI]), c_0_141]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), emptyInPowerset]), notinemptyset]), uniqinunit]), nonemptyImpWitness]), c_0_142]), subPowSU]), omega__Cong]), setunion__Cong]), eqimpsubset1]), notequalI2]), notequalI1]), notsubsetI]), powersetE]), notinsingleton]), vacuousDall]), c_0_143]), upairsetIR]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), quantDeMorgan1]), c_0_144]), c_0_145]), notdallE]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), c_0_146]), setadjoin__Cong]), emptyset__Cong]), c_0_147]), c_0_148]), in__Cong]), inCongP]), c_0_149]), powerset__Cong]), eqimpsubset2]), subsetI1]), c_0_150]), c_0_151]), c_0_152]), subsetE2]), subsetE]), emptysetsubset]), subsetI2]), subsetRefl]), powersetI1]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub2]), setadjoinSub]), subsetTrans]), powersetE1]), binunionIR]), upairset2IR]), binunionIL]), c_0_153]), c_0_154]), powersetsubset]), inPowerset]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binunionEcases]), emptysetE]), prop2setE]), c_0_155]), c_0_156]), c_0_157]), c_0_158]), c_0_159]), wellorderingAx]), foundationAx]), c_0_160]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_161])).
% 0.21/0.31 thf(c_0_163, negated_conjecture, ![X753:$i, X754:$i, X756:$i, X757:$i, X758:$i, X759:$i, X760:$i, X761:$i, X762:$i, X763:$i, X764:$i, X766:$i, X767:$i, X769:$i, X770:$i, X771:$i, X772:$i, X773:$i, X775:$i, X776:$i > $i > $o, X777:$i, X780:$i, X782:$i, X783:$i, X784:$i, X785:$i, X787:$i, X788:$i > $o, X789:$i, X790:$i > $o, X791:$i, X792:$i, X793:$i > $o, X794:$i, X795:$i, X796:$i > $o, X797:$i, X798:$i > $o, X800:$i, X801:$o, X802:$i, X803:$i, X804:$o, X805:$i, X806:$i, X807:$i > $o, X809:$i, X810:$i, X813:$i, X815:$i, X817:$i, X818:$i > $o, X819:$i, X820:$i, X822:$i, X823:$i > $o, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$o, X836:$i, X837:$i, X838:$i, X839:$i, X840:$i, X841:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$o, X855:$i, X856:$i, X857:$i > $o, X859:$i, X860:$i, X861:$i, X863:$i, X864:$i, X865:$i, X866:$i, X867:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i > $o, X880:$i, X881:$i > $o, X882:$i, X883:$i, X884:$i > $o, X885:$i, X887:$i, X888:$i > $o, X890:$i, X891:$i, X892:$i > $o, X894:$i, X895:$i, X896:$i > $o, X897:$i, X899:$o, X900:$i, X901:$i > $o, X903:$i, X904:$i, X905:$i > $o, X906:$i, X908:$i > $o, X909:$i, X911:$i > $o, X912:$i, X915:$i > $o, X916:$i, X918:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X924:$i, X925:$i, X926:$i > $o, X927:$i, X928:$i, X929:$i > $o, X930:$i > $o, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i > $o, X942:$i, X943:$i, X944:$i > $o, X945:$i > $o, X948:$i, X949:$i, X950:$i > $o, X951:$i > $o, X954:$i, X955:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X964:$i, X965:$i, X966:$i, X967:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i > $o, X1002:$i, X1003:$i > $o, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$o, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i, X1072:$i, X1073:$i, X1074:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$i, X1083:$o, X1084:$i, X1085:$i, X1086:$i, X1087:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i]:((((~(in @ (esk1_2 @ X753 @ X754) @ X753)|~(in @ (esk1_2 @ X753 @ X754) @ X754)|((X753)=(X754)))&((in @ (esk1_2 @ X753 @ X754) @ X753)|(in @ (esk1_2 @ X753 @ X754) @ X754)|((X753)=(X754))))&(~(in @ X756 @ emptyset)&(((~(in @ X759 @ (setadjoin @ X757 @ X758))|(((X759)=(X757))|(in @ X759 @ X758)))&((((X759)!=(X757))|(in @ X759 @ (setadjoin @ X757 @ X758)))&(~(in @ X759 @ X758)|(in @ X759 @ (setadjoin @ X757 @ X758)))))&(((~(in @ X761 @ (powerset @ X760))|(~(in @ X762 @ X761)|(in @ X762 @ X760)))&(((in @ (esk2_2 @ X763 @ X764) @ X764)|(in @ X764 @ (powerset @ X763)))&(~(in @ (esk2_2 @ X763 @ X764) @ X763)|(in @ X764 @ (powerset @ X763)))))&(((((in @ X767 @ (esk3_2 @ X766 @ X767))|~(in @ X767 @ (setunion @ X766)))&((in @ (esk3_2 @ X766 @ X767) @ X766)|~(in @ X767 @ (setunion @ X766))))&(~(in @ X770 @ X771)|~(in @ X771 @ X769)|(in @ X770 @ (setunion @ X769))))&((in @ emptyset @ omega)&((~(in @ X772 @ omega)|(in @ (setadjoin @ X772 @ X772) @ omega))&(((((in @ (esk4_1 @ X773) @ omega)|~(in @ emptyset @ X773)|(~(in @ X775 @ omega)|(in @ X775 @ X773)))&((in @ (esk4_1 @ X773) @ X773)|~(in @ emptyset @ X773)|(~(in @ X775 @ omega)|(in @ X775 @ X773))))&(~(in @ (setadjoin @ (esk4_1 @ X773) @ (esk4_1 @ X773)) @ X773)|~(in @ emptyset @ X773)|(~(in @ X775 @ omega)|(in @ X775 @ X773))))&((((((in @ (esk7_3 @ X776 @ X777 @ X780) @ X777)|~(in @ X780 @ (esk6_2 @ X776 @ X777))|(in @ (esk5_2 @ X776 @ X777) @ X777))&((X776 @ (esk7_3 @ X776 @ X777 @ X780) @ X780)|~(in @ X780 @ (esk6_2 @ X776 @ X777))|(in @ (esk5_2 @ X776 @ X777) @ X777)))&(~(in @ X783 @ X777)|~(X776 @ X783 @ X782)|(in @ X782 @ (esk6_2 @ X776 @ X777))|(in @ (esk5_2 @ X776 @ X777) @ X777)))&((((in @ (esk7_3 @ X776 @ X777 @ X780) @ X777)|~(in @ X780 @ (esk6_2 @ X776 @ X777))|~(exu @ (X776 @ (esk5_2 @ X776 @ X777))))&((X776 @ (esk7_3 @ X776 @ X777 @ X780) @ X780)|~(in @ X780 @ (esk6_2 @ X776 @ X777))|~(exu @ (X776 @ (esk5_2 @ X776 @ X777)))))&(~(in @ X783 @ X777)|~(X776 @ X783 @ X782)|(in @ X782 @ (esk6_2 @ X776 @ X777))|~(exu @ (X776 @ (esk5_2 @ X776 @ X777))))))&((((in @ (esk8_1 @ X784) @ X784)|~(in @ X785 @ X784))&(~(in @ X787 @ (esk8_1 @ X784))|~(in @ X787 @ X784)|~(in @ X785 @ X784)))&((epred1_0)&((~(exu @ X788)|(X788 @ (descr @ X788)))&((~(in @ X791 @ X789)|(~(X790 @ X791)|(in @ X791 @ (dsetconstr @ X789 @ X790))))&((~(in @ X794 @ (dsetconstr @ X792 @ X793))|(in @ X794 @ X792))&((~(in @ X797 @ (dsetconstr @ X795 @ X796))|(X796 @ X797))&((((X798 @ (esk9_1 @ X798))|~(exu @ X798))&(~(X798 @ X800)|((esk9_1 @ X798)=(X800))|~(exu @ X798)))&((~(in @ X802 @ (prop2set @ ((X801))))|(X801))&((~(in @ X803 @ emptyset)|(X804))&((~(in @ X805 @ emptyset)|~($true))&(~(in @ X806 @ emptyset)&((~(exu @ X807)|(X807 @ (esk10_1 @ X807)))&(((((in @ (esk12_2 @ X809 @ X810) @ X810)|((X809)=(X810))|(in @ (esk11_2 @ X809 @ X810) @ X809))&(~(in @ (esk12_2 @ X809 @ X810) @ X809)|((X809)=(X810))|(in @ (esk11_2 @ X809 @ X810) @ X809)))&(((in @ (esk12_2 @ X809 @ X810) @ X810)|((X809)=(X810))|~(in @ (esk11_2 @ X809 @ X810) @ X810))&(~(in @ (esk12_2 @ X809 @ X810) @ X809)|((X809)=(X810))|~(in @ (esk11_2 @ X809 @ X810) @ X810))))&(((in @ (esk13_1 @ X813) @ X813)|((X813)=(emptyset)))&(((in @ (esk14_1 @ X815) @ X815)|((X815)=(emptyset)))&(((~(in @ X819 @ (dsetconstr @ X817 @ X818))|(X818 @ X819)|~(in @ X819 @ X817))&(~(X818 @ X819)|(in @ X819 @ (dsetconstr @ X817 @ X818))|~(in @ X819 @ X817)))&((~(nonempty @ X820)|(in @ (esk15_1 @ X820) @ X820))&((~(in @ X824 @ X822)|(~(X823 @ X824)|(nonempty @ (dsetconstr @ X822 @ X823))))&((~(in @ X826 @ X825)|(nonempty @ X825))&((in @ X827 @ (setadjoin @ X827 @ X828))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X831 @ X830)|(in @ X831 @ (setadjoin @ X829 @ X830)))&(((((in @ X834 @ X833)|(X835)|((X834)=(X832))|~(in @ X834 @ (setadjoin @ X832 @ X833)))&(~(X835)|(X835)|((X834)=(X832))|~(in @ X834 @ (setadjoin @ X832 @ X833))))&(((in @ X834 @ X833)|(X835)|~(X835)|~(in @ X834 @ (setadjoin @ X832 @ X833)))&(~(X835)|(X835)|~(X835)|~(in @ X834 @ (setadjoin @ X832 @ X833)))))&((~(in @ X838 @ (setadjoin @ X836 @ X837))|(((X838)=(X836))|(in @ X838 @ X837)))&(((dsetconstr @ X839 @ (^[Z0:$i]:($true)))=(X839))&((((in @ (esk16_2 @ X840 @ X841) @ X841)|(in @ X841 @ (powerset @ X840)))&(~(in @ (esk16_2 @ X840 @ X841) @ X840)|(in @ X841 @ (powerset @ X840))))&((in @ emptyset @ (powerset @ X843))&((in @ emptyset @ (powerset @ X844))&((~(in @ X846 @ (powerset @ X845))|(~(in @ X847 @ X846)|(in @ X847 @ X845)))&((~(in @ X849 @ X850)|(~(in @ X850 @ X848)|(in @ X849 @ (setunion @ X848))))&((((in @ X852 @ (esk17_3 @ X851 @ X852 @ X853))|(X853)|~(in @ X852 @ (setunion @ X851)))&(((in @ (esk17_3 @ X851 @ X852 @ X853) @ X851)|(X853)|~(in @ X852 @ (setunion @ X851)))&(~(X853)|(X853)|~(in @ X852 @ (setunion @ X851)))))&((~(in @ X856 @ X855)|(in @ X856 @ (powerset @ (setunion @ X855))))&(((~(X857 @ X859)|((X859)=(esk18_1 @ X857))|~(exu @ X857))&(((X860)!=(esk18_1 @ X857))|(X857 @ X860)|~(exu @ X857)))&((((in @ (esk19_1 @ X861) @ X861)|~(nonempty @ X861))&(($true)|~(nonempty @ X861)))&((~(in @ X863 @ (setadjoin @ X864 @ emptyset))|((X863)=(X864)))&((((X865)=(X866))|~(in @ X866 @ (setadjoin @ X865 @ emptyset)))&((((X867)!=(X868))|(in @ X867 @ (setadjoin @ X868 @ emptyset)))&((~(in @ X869 @ (setadjoin @ X870 @ emptyset))|(in @ X870 @ (setadjoin @ X869 @ emptyset)))&((~(in @ X873 @ (setadjoin @ X871 @ (setadjoin @ X872 @ emptyset)))|(((X873)=(X871))|((X873)=(X872))))&((in @ X874 @ (setadjoin @ X874 @ (setadjoin @ X875 @ emptyset)))&((in @ X877 @ (setadjoin @ X876 @ (setadjoin @ X877 @ emptyset)))&((~(in @ X880 @ X878)|~(X879 @ X880)|(((dsetconstr @ X878 @ X879)!=(emptyset))|~($true)))&((~(in @ X882 @ emptyset)|(X881 @ X882))&((((in @ (esk20_2 @ X883 @ X884) @ X883)|(~(in @ X885 @ X883)|(X884 @ X885)))&(~(X884 @ (esk20_2 @ X883 @ X884))|(~(in @ X885 @ X883)|(X884 @ X885))))&((((in @ (esk21_2 @ X887 @ X888) @ X887)|(~(in @ X890 @ X887)|~(X888 @ X890)))&((X888 @ (esk21_2 @ X887 @ X888))|(~(in @ X890 @ X887)|~(X888 @ X890))))&((((in @ (esk22_2 @ X891 @ X892) @ X891)|(~(in @ X894 @ X891)|~(X892 @ X894)))&((X892 @ (esk22_2 @ X891 @ X892))|(~(in @ X894 @ X891)|~(X892 @ X894))))&((((in @ (esk23_2 @ X895 @ X896) @ X895)|(~(in @ X897 @ X895)|(X896 @ X897)))&(~(X896 @ (esk23_2 @ X895 @ X896))|(~(in @ X897 @ X895)|(X896 @ X897))))&((~(X899)|(in @ emptyset @ (prop2set @ ((X899)))))&((prop2set2propI)&((((in @ (esk24_2 @ X900 @ X901) @ X900)|(~(in @ X903 @ X900)|~(X901 @ X903)))&((X901 @ (esk24_2 @ X900 @ X901))|(~(in @ X903 @ X900)|~(X901 @ X903))))&((((in @ (esk25_2 @ X904 @ X905) @ X904)|(~(in @ X906 @ X904)|(X905 @ X906)))&(~(X905 @ (esk25_2 @ X904 @ X905))|(~(in @ X906 @ X904)|(X905 @ X906))))&((((X908 @ (esk26_2 @ X908 @ X909))|~(X908 @ X909)|(exu @ X908))&(((X909)!=(esk26_2 @ X908 @ X909))|~(X908 @ X909)|(exu @ X908)))&((((X911 @ (esk27_1 @ X911))|(exu @ X911)|~(X911 @ X912))&(((X911 @ (esk28_1 @ X911))|(exu @ X911)|~(X911 @ X912))&(((esk27_1 @ X911)!=(esk28_1 @ X911))|(exu @ X911)|~(X911 @ X912))))&(((~(X915 @ (esk29_2 @ X915 @ X916))|((esk29_2 @ X915 @ X916)!=(X916))|(exu @ X915))&((X915 @ (esk29_2 @ X915 @ X916))|((esk29_2 @ X915 @ X916)=(X916))|(exu @ X915)))&((((X918)!=(X919))|(((X920)!=(X921))|(~(in @ X920 @ X918)|(in @ X921 @ X919))))&(((~(in @ X924 @ X922)|(in @ X925 @ X923)|((X924)!=(X925))|((X922)!=(X923)))&(~(in @ X925 @ X923)|(in @ X924 @ X922)|((X924)!=(X925))|((X922)!=(X923))))&((~(exu @ X926)|(~(X926 @ X927)|(~(X926 @ X928)|((X927)=(X928)))))&((((~(exu @ X929)|(exu @ X930)|((esk30_2 @ X929 @ X930)=(esk31_2 @ X929 @ X930)))&(~(exu @ X930)|(exu @ X929)|((esk30_2 @ X929 @ X930)=(esk31_2 @ X929 @ X930))))&(((~(exu @ X929)|(exu @ X930)|(~(X929 @ (esk30_2 @ X929 @ X930))|~(X930 @ (esk31_2 @ X929 @ X930))))&(~(exu @ X930)|(exu @ X929)|(~(X929 @ (esk30_2 @ X929 @ X930))|~(X930 @ (esk31_2 @ X929 @ X930)))))&((~(exu @ X929)|(exu @ X930)|((X929 @ (esk30_2 @ X929 @ X930))|(X930 @ (esk31_2 @ X929 @ X930))))&(~(exu @ X930)|(exu @ X929)|((X929 @ (esk30_2 @ X929 @ X930))|(X930 @ (esk31_2 @ X929 @ X930)))))))&(((emptyset)=(emptyset))&((((X933)!=(X934))|(((X935)!=(X936))|((setadjoin @ X933 @ X935)=(setadjoin @ X934 @ X936))))&((((X937)!=(X938))|((powerset @ X937)=(powerset @ X938)))&((((X939)!=(X940))|((setunion @ X939)=(setunion @ X940)))&(((omega)=(omega))&((~(exu @ X941)|(~(X941 @ X942)|(~(X941 @ X943)|((X942)=(X943)))))&(((((esk32_2 @ X944 @ X945)=(esk33_2 @ X944 @ X945))|(~(exu @ X944)|(~(exu @ X945)|((descr @ X944)=(descr @ X945)))))&((~(X944 @ (esk32_2 @ X944 @ X945))|~(X945 @ (esk33_2 @ X944 @ X945))|(~(exu @ X944)|(~(exu @ X945)|((descr @ X944)=(descr @ X945)))))&((X944 @ (esk32_2 @ X944 @ X945))|(X945 @ (esk33_2 @ X944 @ X945))|(~(exu @ X944)|(~(exu @ X945)|((descr @ X944)=(descr @ X945)))))))&((((in @ (esk34_4 @ X948 @ X949 @ X950 @ X951) @ X948)|((dsetconstr @ X948 @ X950)=(dsetconstr @ X949 @ X951))|((X948)!=(X949)))&(((in @ (esk35_4 @ X948 @ X949 @ X950 @ X951) @ X949)|((dsetconstr @ X948 @ X950)=(dsetconstr @ X949 @ X951))|((X948)!=(X949)))&((((esk34_4 @ X948 @ X949 @ X950 @ X951)=(esk35_4 @ X948 @ X949 @ X950 @ X951))|((dsetconstr @ X948 @ X950)=(dsetconstr @ X949 @ X951))|((X948)!=(X949)))&((~(X950 @ (esk34_4 @ X948 @ X949 @ X950 @ X951))|~(X951 @ (esk35_4 @ X948 @ X949 @ X950 @ X951))|((dsetconstr @ X948 @ X950)=(dsetconstr @ X949 @ X951))|((X948)!=(X949)))&((X950 @ (esk34_4 @ X948 @ X949 @ X950 @ X951))|(X951 @ (esk35_4 @ X948 @ X949 @ X950 @ X951))|((dsetconstr @ X948 @ X950)=(dsetconstr @ X949 @ X951))|((X948)!=(X949)))))))&((((in @ (esk36_2 @ X954 @ X955) @ X954)|(subset @ X954 @ X955))&(~(in @ (esk36_2 @ X954 @ X955) @ X955)|(subset @ X954 @ X955)))&((((X957)!=(X958))|(subset @ X958 @ X957))&((((X959)!=(X960))|(subset @ X959 @ X960))&((((in @ (esk37_2 @ X961 @ X962) @ X961)|(subset @ X961 @ X962))&(~(in @ (esk37_2 @ X961 @ X962) @ X962)|(subset @ X961 @ X962)))&((subset @ emptyset @ X964)&((~(subset @ X965 @ X966)|(~(in @ X967 @ X965)|(in @ X967 @ X966)))&((~(subset @ X968 @ X969)|((in @ X970 @ X969)|~(in @ X970 @ X968)))&((~(in @ X973 @ X971)|((in @ X973 @ X972)|~(subset @ X971 @ X972)))&(((subset @ X974 @ X975)|((X974)!=(X975)))&((~(in @ X978 @ X976)|((in @ X978 @ X977)|((X976)!=(X977))))&((subset @ X979 @ X979)&((~(subset @ X980 @ X981)|(~(subset @ X981 @ X982)|(subset @ X980 @ X982)))&((subset @ X984 @ (setadjoin @ X983 @ X984))&((~(subset @ X985 @ X987)|(subset @ X985 @ (setadjoin @ X986 @ X987)))&((~(subset @ X988 @ X989)|(in @ X988 @ (powerset @ X989)))&((~(subset @ X990 @ X991)|(~(subset @ X991 @ X990)|((X990)=(X991))))&((~(subset @ X992 @ emptyset)|((X992)=(emptyset)))&((~(subset @ X994 @ X993)|(in @ X994 @ (powerset @ X993)))&((~(in @ X996 @ (powerset @ X995))|(subset @ X996 @ X995))&((in @ X997 @ (powerset @ X997))&((~(subset @ X998 @ X999)|(subset @ (powerset @ X998) @ (powerset @ X999)))&((in @ (dsetconstr @ X1000 @ X1001) @ (powerset @ X1000))&((subset @ (dsetconstr @ X1002 @ X1003) @ X1002)&((~(in @ X1006 @ X1004)|(in @ X1006 @ (binunion @ X1004 @ X1005)))&((in @ X1008 @ (setadjoin @ X1007 @ (setadjoin @ X1008 @ emptyset)))&((~(in @ X1011 @ X1010)|(in @ X1011 @ (binunion @ X1009 @ X1010)))&(((((in @ X1014 @ X1013)|(X1015)|(in @ X1014 @ X1012)|~(in @ X1014 @ (binunion @ X1012 @ X1013)))&(~(X1015)|(X1015)|(in @ X1014 @ X1012)|~(in @ X1014 @ (binunion @ X1012 @ X1013))))&(((in @ X1014 @ X1013)|(X1015)|~(X1015)|~(in @ X1014 @ (binunion @ X1012 @ X1013)))&(~(X1015)|(X1015)|~(X1015)|~(in @ X1014 @ (binunion @ X1012 @ X1013)))))&((~(in @ X1018 @ (binunion @ X1016 @ X1017))|((in @ X1018 @ X1016)|(in @ X1018 @ X1017)))&((subset @ X1019 @ (binunion @ X1019 @ X1020))&((subset @ X1022 @ (binunion @ X1021 @ X1022))&((~(in @ X1025 @ X1023)|(~(in @ X1025 @ X1024)|(in @ X1025 @ (binintersect @ X1023 @ X1024))))&((~(subset @ X1028 @ X1026)|(~(subset @ X1028 @ X1027)|(subset @ X1028 @ (binintersect @ X1026 @ X1027))))&((~(in @ X1031 @ (binintersect @ X1029 @ X1030))|(in @ X1031 @ X1029))&((subset @ (binintersect @ X1032 @ X1033) @ X1032)&((~(subset @ X1034 @ X1035)|((binintersect @ X1034 @ X1035)=(X1034)))&((((binintersect @ X1036 @ X1037)!=(X1037))|(subset @ X1037 @ X1036))&((~(in @ X1040 @ (binintersect @ X1038 @ X1039))|(in @ X1040 @ X1039))&((((in @ (esk38_2 @ X1041 @ X1042) @ X1041)|((binintersect @ X1041 @ X1042)=(emptyset)))&((in @ (esk38_2 @ X1041 @ X1042) @ X1042)|((binintersect @ X1041 @ X1042)=(emptyset))))&((subset @ (binintersect @ X1044 @ X1045) @ X1045)&((~(subset @ X1047 @ X1046)|((binintersect @ X1046 @ X1047)=(X1047)))&((((binintersect @ X1048 @ X1049)!=(X1048))|(subset @ X1048 @ X1049))&(((binintersect @ X1050 @ (binunion @ X1051 @ X1052))=(binunion @ (binintersect @ X1050 @ X1051) @ (binintersect @ X1050 @ X1052)))&((~(in @ X1055 @ X1053)|((in @ X1055 @ X1054)|(in @ X1055 @ (setminus @ X1053 @ X1054))))&((~(in @ X1058 @ (setminus @ X1056 @ X1057))|(in @ X1058 @ X1056))&((~(in @ X1061 @ (setminus @ X1059 @ X1060))|~(in @ X1061 @ X1060))&((~(subset @ X1062 @ X1063)|((setminus @ X1062 @ X1063)=(emptyset)))&(((in @ X1066 @ (setminus @ X1064 @ X1065))|(~(in @ X1066 @ X1064)|(in @ X1066 @ X1065)))&(((in @ X1069 @ (setminus @ X1067 @ X1068))|((in @ X1069 @ X1068)|~(in @ X1069 @ X1067)))&(((in @ X1072 @ X1070)|~(in @ X1072 @ (setminus @ X1070 @ X1071)))&((~(in @ X1075 @ X1074)|~(in @ X1075 @ (setminus @ X1073 @ X1074)))&((subset @ (setminus @ X1076 @ X1077) @ X1076)&((((setminus @ X1078 @ X1079)!=(emptyset))|(subset @ X1078 @ X1079))&((((~(in @ X1082 @ X1080)|(X1083)|(in @ X1082 @ X1080)|~(in @ X1082 @ (symdiff @ X1080 @ X1081)))&(((in @ X1082 @ X1081)|(X1083)|(in @ X1082 @ X1080)|~(in @ X1082 @ (symdiff @ X1080 @ X1081)))&(~(X1083)|(X1083)|(in @ X1082 @ X1080)|~(in @ X1082 @ (symdiff @ X1080 @ X1081)))))&(((~(in @ X1082 @ X1080)|(X1083)|~(in @ X1082 @ X1081)|~(in @ X1082 @ (symdiff @ X1080 @ X1081)))&(((in @ X1082 @ X1081)|(X1083)|~(in @ X1082 @ X1081)|~(in @ X1082 @ (symdiff @ X1080 @ X1081)))&(~(X1083)|(X1083)|~(in @ X1082 @ X1081)|~(in @ X1082 @ (symdiff @ X1080 @ X1081)))))&((~(in @ X1082 @ X1080)|(X1083)|~(X1083)|~(in @ X1082 @ (symdiff @ X1080 @ X1081)))&(((in @ X1082 @ X1081)|(X1083)|~(X1083)|~(in @ X1082 @ (symdiff @ X1080 @ X1081)))&(~(X1083)|(X1083)|~(X1083)|~(in @ X1082 @ (symdiff @ X1080 @ X1081)))))))&((~(in @ X1086 @ X1084)|((in @ X1086 @ X1085)|(in @ X1086 @ (symdiff @ X1084 @ X1085))))&(((in @ X1089 @ X1087)|(~(in @ X1089 @ X1088)|(in @ X1089 @ (symdiff @ X1087 @ X1088))))&((~(in @ X1092 @ X1090)|(~(in @ X1092 @ X1091)|~(in @ X1092 @ (symdiff @ X1090 @ X1091))))&(((in @ X1095 @ X1093)|((in @ X1095 @ X1094)|~(in @ X1095 @ (symdiff @ X1093 @ X1094))))&((in @ X1097 @ (setadjoin @ X1096 @ (setadjoin @ X1097 @ emptyset)))&((in @ X1098 @ (setunion @ (setadjoin @ (setadjoin @ X1098 @ emptyset) @ (setadjoin @ (setadjoin @ X1098 @ (setadjoin @ X1099 @ emptyset)) @ emptyset))))&((in @ X1101 @ (setunion @ (setadjoin @ (setadjoin @ X1100 @ emptyset) @ (setadjoin @ (setadjoin @ X1100 @ (setadjoin @ X1101 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1102 @ emptyset) @ (setadjoin @ (setadjoin @ X1102 @ (setadjoin @ X1103 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1104 @ X1105))&((~(in @ X1107 @ X1106)|(subset @ (setadjoin @ X1107 @ emptyset) @ X1106))&((in @ esk40_0 @ esk39_0)&~(in @ (setadjoin @ esk40_0 @ emptyset) @ (powerset @ esk39_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_162])])])])])])])).
% 0.21/0.31 thf(c_0_164, negated_conjecture, ~((in @ (setadjoin @ esk40_0 @ emptyset) @ (powerset @ esk39_0))), inference(split_conjunct,[status(thm)],[c_0_163])).
% 0.21/0.31 thf(c_0_165, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ (powerset @ X3))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_163])).
% 0.21/0.31 thf(c_0_166, negated_conjecture, ~((subset @ (setadjoin @ esk40_0 @ emptyset) @ esk39_0)), inference(spm,[status(thm)],[c_0_164, c_0_165])).
% 0.21/0.31 thf(c_0_167, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ (setadjoin @ X2 @ emptyset) @ X3)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_163])).
% 0.21/0.31 thf(c_0_168, negated_conjecture, (in @ esk40_0 @ esk39_0), inference(split_conjunct,[status(thm)],[c_0_163])).
% 0.21/0.31 thf(c_0_169, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_167]), c_0_168])]), ['proof']).
% 0.21/0.31 % SZS output end CNFRefutation
% 0.21/0.31 % Parsed axioms : 305
% 0.21/0.31 % Removed by relevancy pruning/SinE : 167
% 0.21/0.31 % Initial clauses : 219
% 0.21/0.31 % Removed in clause preprocessing : 25
% 0.21/0.31 % Initial clauses in saturation : 194
% 0.21/0.31 % Processed clauses : 396
% 0.21/0.31 % ...of these trivial : 8
% 0.21/0.31 % ...subsumed : 198
% 0.21/0.31 % ...remaining for further processing : 190
% 0.21/0.31 % Other redundant clauses eliminated : 14
% 0.21/0.31 % Clauses deleted for lack of memory : 0
% 0.21/0.31 % Backward-subsumed : 3
% 0.21/0.31 % Backward-rewritten : 3
% 0.21/0.31 % Generated clauses : 1042
% 0.21/0.31 % ...of the previous two non-redundant : 875
% 0.21/0.31 % ...aggressively subsumed : 0
% 0.21/0.31 % Contextual simplify-reflections : 0
% 0.21/0.31 % Paramodulations : 1028
% 0.21/0.31 % Factorizations : 0
% 0.21/0.31 % NegExts : 0
% 0.21/0.31 % Equation resolutions : 14
% 0.21/0.31 % Disequality decompositions : 0
% 0.21/0.31 % Total rewrite steps : 165
% 0.21/0.31 % ...of those cached : 121
% 0.21/0.31 % Propositional unsat checks : 0
% 0.21/0.31 % Propositional check models : 0
% 0.21/0.31 % Propositional check unsatisfiable : 0
% 0.21/0.31 % Propositional clauses : 0
% 0.21/0.31 % Propositional clauses after purity: 0
% 0.21/0.31 % Propositional unsat core size : 0
% 0.21/0.31 % Propositional preprocessing time : 0.000
% 0.21/0.31 % Propositional encoding time : 0.000
% 0.21/0.31 % Propositional solver time : 0.000
% 0.21/0.31 % Success case prop preproc time : 0.000
% 0.21/0.31 % Success case prop encoding time : 0.000
% 0.21/0.31 % Success case prop solver time : 0.000
% 0.21/0.31 % Current number of processed clauses : 178
% 0.21/0.31 % Positive orientable unit clauses : 42
% 0.21/0.31 % Positive unorientable unit clauses: 0
% 0.21/0.31 % Negative unit clauses : 4
% 0.21/0.31 % Non-unit-clauses : 132
% 0.21/0.31 % Current number of unprocessed clauses: 629
% 0.21/0.31 % ...number of literals in the above : 1710
% 0.21/0.31 % Current number of archived formulas : 0
% 0.21/0.31 % Current number of archived clauses : 6
% 0.21/0.31 % Clause-clause subsumption calls (NU) : 2157
% 0.21/0.31 % Rec. Clause-clause subsumption calls : 2130
% 0.21/0.31 % Non-unit clause-clause subsumptions : 192
% 0.21/0.31 % Unit Clause-clause subsumption calls : 5
% 0.21/0.31 % Rewrite failures with RHS unbound : 0
% 0.21/0.31 % BW rewrite match attempts : 7
% 0.21/0.31 % BW rewrite match successes : 3
% 0.21/0.31 % Condensation attempts : 0
% 0.21/0.31 % Condensation successes : 0
% 0.21/0.31 % Termbank termtop insertions : 39924
% 0.21/0.31 % Search garbage collected termcells : 11997
% 0.21/0.31
% 0.21/0.31 % -------------------------------------------------
% 0.21/0.31 % User time : 0.029 s
% 0.21/0.31 % System time : 0.009 s
% 0.21/0.31 % Total time : 0.038 s
% 0.21/0.31 % Maximum resident set size: 6496 pages
% 0.21/0.31
% 0.21/0.31 % -------------------------------------------------
% 0.21/0.31 % User time : 0.036 s
% 0.21/0.31 % System time : 0.016 s
% 0.21/0.31 % Total time : 0.052 s
% 0.21/0.31 % Maximum resident set size: 4864 pages
% 0.21/0.31 % E exiting
%------------------------------------------------------------------------------