%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU623^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:26:58 AM UTC 2026
% Result : Theorem 0.22s 0.34s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU623^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:59:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.26 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p
% 0.22/0.34 % Version: 3.5.1-ho
% 0.22/0.34 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.22/0.34 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.34 % Starting ehoh_best5 with 300s (1) cores
% 0.22/0.34 % Starting almost_fo_3_lam with 300s (1) cores
% 0.22/0.34 % Starting new_bool_5 with 300s (1) cores
% 0.22/0.34 % Starting pre_casc_3 with 300s (1) cores
% 0.22/0.34 % Starting ho_unfolding_8 with 300s (1) cores
% 0.22/0.34 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.22/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.34 % Starting new_ho_5 with 300s (1) cores
% 0.22/0.34 % new_bool_5 with pid 1710625 completed with status 0
% 0.22/0.34 % Result found by new_bool_5
% 0.22/0.34 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.22/0.34 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.34 % Starting ehoh_best5 with 300s (1) cores
% 0.22/0.34 % Starting almost_fo_3_lam with 300s (1) cores
% 0.22/0.34 % Starting new_bool_5 with 300s (1) cores
% 0.22/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.22/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.22/0.34 % Search class: HGHSM-FSLM31-MHFMMSBN
% 0.22/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.34 % SubtermCWHack with pid 1710640 completed with status 0
% 0.22/0.34 % Result found by SubtermCWHack
% 0.22/0.34 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.22/0.34 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.34 % Starting ehoh_best5 with 300s (1) cores
% 0.22/0.34 % Starting almost_fo_3_lam with 300s (1) cores
% 0.22/0.34 % Starting new_bool_5 with 300s (1) cores
% 0.22/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.22/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.22/0.34 % Search class: HGHSM-FSLM31-MHFMMSBN
% 0.22/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.34 % Preprocessing time : 0.002 s
% 0.22/0.34
% 0.22/0.34 % Proof found!
% 0.22/0.34 % SZS status Theorem
% 0.22/0.34 % SZS output start CNFRefutation
% 0.22/0.34 thf(decl_23, type, in: $i > $i > $o).
% 0.22/0.34 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.22/0.34 thf(decl_25, type, setextAx: $o).
% 0.22/0.34 thf(decl_26, type, emptyset: $i).
% 0.22/0.34 thf(decl_27, type, emptysetAx: $o).
% 0.22/0.34 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.22/0.34 thf(decl_29, type, setadjoinAx: $o).
% 0.22/0.34 thf(decl_30, type, powerset: $i > $i).
% 0.22/0.34 thf(decl_31, type, powersetAx: $o).
% 0.22/0.34 thf(decl_32, type, setunion: $i > $i).
% 0.22/0.34 thf(decl_33, type, setunionAx: $o).
% 0.22/0.34 thf(decl_34, type, omega: $i).
% 0.22/0.34 thf(decl_35, type, omega0Ax: $o).
% 0.22/0.34 thf(decl_36, type, omegaSAx: $o).
% 0.22/0.34 thf(decl_37, type, omegaIndAx: $o).
% 0.22/0.34 thf(decl_38, type, replAx: $o).
% 0.22/0.34 thf(decl_39, type, foundationAx: $o).
% 0.22/0.34 thf(decl_40, type, wellorderingAx: $o).
% 0.22/0.34 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.22/0.34 thf(decl_42, type, descrp: $o).
% 0.22/0.34 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.34 thf(decl_44, type, dsetconstrI: $o).
% 0.22/0.34 thf(decl_45, type, dsetconstrEL: $o).
% 0.22/0.34 thf(decl_46, type, dsetconstrER: $o).
% 0.22/0.34 thf(decl_47, type, exuE1: $o).
% 0.22/0.34 thf(decl_48, type, prop2set: $o > $i).
% 0.22/0.34 thf(decl_49, type, prop2setE: $o).
% 0.22/0.34 thf(decl_50, type, emptysetE: $o).
% 0.22/0.34 thf(decl_51, type, emptysetimpfalse: $o).
% 0.22/0.34 thf(decl_52, type, notinemptyset: $o).
% 0.22/0.34 thf(decl_53, type, exuE3e: $o).
% 0.22/0.34 thf(decl_54, type, setext: $o).
% 0.22/0.34 thf(decl_55, type, emptyI: $o).
% 0.22/0.34 thf(decl_56, type, noeltsimpempty: $o).
% 0.22/0.34 thf(decl_57, type, setbeta: $o).
% 0.22/0.34 thf(decl_58, type, nonempty: $i > $o).
% 0.22/0.34 thf(decl_59, type, nonemptyE1: $o).
% 0.22/0.34 thf(decl_60, type, nonemptyI: $o).
% 0.22/0.34 thf(decl_61, type, nonemptyI1: $o).
% 0.22/0.34 thf(decl_62, type, setadjoinIL: $o).
% 0.22/0.34 thf(decl_63, type, emptyinunitempty: $o).
% 0.22/0.34 thf(decl_64, type, setadjoinIR: $o).
% 0.22/0.34 thf(decl_65, type, setadjoinE: $o).
% 0.22/0.34 thf(decl_66, type, setadjoinOr: $o).
% 0.22/0.34 thf(decl_67, type, setoftrueEq: $o).
% 0.22/0.34 thf(decl_68, type, powersetI: $o).
% 0.22/0.34 thf(decl_69, type, emptyinPowerset: $o).
% 0.22/0.34 thf(decl_70, type, emptyInPowerset: $o).
% 0.22/0.34 thf(decl_71, type, powersetE: $o).
% 0.22/0.34 thf(decl_72, type, setunionI: $o).
% 0.22/0.34 thf(decl_73, type, setunionE: $o).
% 0.22/0.34 thf(decl_74, type, subPowSU: $o).
% 0.22/0.34 thf(decl_75, type, exuE2: $o).
% 0.22/0.34 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.22/0.34 thf(decl_77, type, uniqinunit: $o).
% 0.22/0.34 thf(decl_78, type, notinsingleton: $o).
% 0.22/0.34 thf(decl_79, type, eqinunit: $o).
% 0.22/0.34 thf(decl_80, type, singletonsswitch: $o).
% 0.22/0.34 thf(decl_81, type, upairsetE: $o).
% 0.22/0.34 thf(decl_82, type, upairsetIL: $o).
% 0.22/0.34 thf(decl_83, type, upairsetIR: $o).
% 0.22/0.34 thf(decl_84, type, emptyE1: $o).
% 0.22/0.34 thf(decl_85, type, vacuousDall: $o).
% 0.22/0.34 thf(decl_86, type, quantDeMorgan1: $o).
% 0.22/0.34 thf(decl_87, type, quantDeMorgan2: $o).
% 0.22/0.34 thf(decl_88, type, quantDeMorgan3: $o).
% 0.22/0.34 thf(decl_89, type, quantDeMorgan4: $o).
% 0.22/0.34 thf(decl_90, type, prop2setI: $o).
% 0.22/0.34 thf(decl_92, type, prop2set2propI: $o).
% 0.22/0.34 thf(decl_93, type, notdexE: $o).
% 0.22/0.34 thf(decl_94, type, notdallE: $o).
% 0.22/0.34 thf(decl_95, type, exuI1: $o).
% 0.22/0.34 thf(decl_96, type, exuI3: $o).
% 0.22/0.34 thf(decl_97, type, exuI2: $o).
% 0.22/0.34 thf(decl_98, type, inCongP: $o).
% 0.22/0.34 thf(decl_99, type, in__Cong: $o).
% 0.22/0.34 thf(decl_100, type, exuE3u: $o).
% 0.22/0.34 thf(decl_101, type, exu__Cong: $o).
% 0.22/0.34 thf(decl_102, type, emptyset__Cong: $o).
% 0.22/0.34 thf(decl_103, type, setadjoin__Cong: $o).
% 0.22/0.34 thf(decl_104, type, powerset__Cong: $o).
% 0.22/0.34 thf(decl_105, type, setunion__Cong: $o).
% 0.22/0.34 thf(decl_106, type, omega__Cong: $o).
% 0.22/0.34 thf(decl_107, type, exuEu: $o).
% 0.22/0.34 thf(decl_108, type, descr__Cong: $o).
% 0.22/0.34 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.22/0.34 thf(decl_110, type, subset: $i > $i > $o).
% 0.22/0.34 thf(decl_113, type, subsetI1: $o).
% 0.22/0.34 thf(decl_114, type, eqimpsubset2: $o).
% 0.22/0.34 thf(decl_115, type, eqimpsubset1: $o).
% 0.22/0.34 thf(decl_116, type, subsetI2: $o).
% 0.22/0.34 thf(decl_117, type, emptysetsubset: $o).
% 0.22/0.34 thf(decl_118, type, subsetE: $o).
% 0.22/0.34 thf(decl_119, type, subsetE2: $o).
% 0.22/0.34 thf(decl_120, type, notsubsetI: $o).
% 0.22/0.34 thf(decl_121, type, notequalI1: $o).
% 0.22/0.34 thf(decl_122, type, notequalI2: $o).
% 0.22/0.34 thf(decl_123, type, subsetRefl: $o).
% 0.22/0.34 thf(decl_124, type, subsetTrans: $o).
% 0.22/0.34 thf(decl_125, type, setadjoinSub: $o).
% 0.22/0.34 thf(decl_126, type, setadjoinSub2: $o).
% 0.22/0.34 thf(decl_127, type, subset2powerset: $o).
% 0.22/0.34 thf(decl_128, type, setextsub: $o).
% 0.22/0.34 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.22/0.34 thf(decl_130, type, powersetI1: $o).
% 0.22/0.34 thf(decl_131, type, powersetE1: $o).
% 0.22/0.34 thf(decl_132, type, inPowerset: $o).
% 0.22/0.34 thf(decl_133, type, powersetsubset: $o).
% 0.22/0.34 thf(decl_134, type, sepInPowerset: $o).
% 0.22/0.34 thf(decl_135, type, sepSubset: $o).
% 0.22/0.34 thf(decl_136, type, binunion: $i > $i > $i).
% 0.22/0.34 thf(decl_137, type, binunionIL: $o).
% 0.22/0.34 thf(decl_138, type, upairset2IR: $o).
% 0.22/0.34 thf(decl_139, type, binunionIR: $o).
% 0.22/0.34 thf(decl_140, type, binunionEcases: $o).
% 0.22/0.34 thf(decl_141, type, binunionE: $o).
% 0.22/0.34 thf(decl_142, type, binunionLsub: $o).
% 0.22/0.34 thf(decl_143, type, binunionRsub: $o).
% 0.22/0.34 thf(decl_144, type, binintersect: $i > $i > $i).
% 0.22/0.34 thf(decl_145, type, binintersectI: $o).
% 0.22/0.34 thf(decl_146, type, binintersectSubset5: $o).
% 0.22/0.34 thf(decl_147, type, binintersectEL: $o).
% 0.22/0.34 thf(decl_148, type, binintersectLsub: $o).
% 0.22/0.34 thf(decl_149, type, binintersectSubset2: $o).
% 0.22/0.34 thf(decl_150, type, binintersectSubset3: $o).
% 0.22/0.34 thf(decl_151, type, binintersectER: $o).
% 0.22/0.34 thf(decl_152, type, disjointsetsI1: $o).
% 0.22/0.34 thf(decl_153, type, binintersectRsub: $o).
% 0.22/0.34 thf(decl_154, type, binintersectSubset4: $o).
% 0.22/0.34 thf(decl_155, type, binintersectSubset1: $o).
% 0.22/0.34 thf(decl_156, type, bs114d: $o).
% 0.22/0.34 thf(decl_158, type, setminus: $i > $i > $i).
% 0.22/0.34 thf(decl_159, type, setminusI: $o).
% 0.22/0.34 thf(decl_160, type, setminusEL: $o).
% 0.22/0.34 thf(decl_161, type, setminusER: $o).
% 0.22/0.34 thf(decl_162, type, setminusSubset2: $o).
% 0.22/0.34 thf(decl_163, type, setminusERneg: $o).
% 0.22/0.34 thf(decl_164, type, setminusELneg: $o).
% 0.22/0.34 thf(decl_165, type, setminusILneg: $o).
% 0.22/0.34 thf(decl_166, type, setminusIRneg: $o).
% 0.22/0.34 thf(decl_167, type, setminusLsub: $o).
% 0.22/0.34 thf(decl_168, type, setminusSubset1: $o).
% 0.22/0.34 thf(decl_169, type, symdiff: $i > $i > $i).
% 0.22/0.34 thf(decl_170, type, symdiffE: $o).
% 0.22/0.34 thf(decl_171, type, symdiffI1: $o).
% 0.22/0.34 thf(decl_172, type, symdiffI2: $o).
% 0.22/0.34 thf(decl_173, type, symdiffIneg1: $o).
% 0.22/0.34 thf(decl_174, type, symdiffIneg2: $o).
% 0.22/0.34 thf(decl_175, type, iskpair: $i > $o).
% 0.22/0.34 thf(decl_176, type, secondinupair: $o).
% 0.22/0.34 thf(decl_177, type, setukpairIL: $o).
% 0.22/0.34 thf(decl_178, type, setukpairIR: $o).
% 0.22/0.34 thf(decl_179, type, kpairiskpair: $o).
% 0.22/0.34 thf(decl_180, type, kpair: $i > $i > $i).
% 0.22/0.34 thf(decl_181, type, kpairp: $o).
% 0.22/0.34 thf(decl_183, type, singletonsubset: $o).
% 0.22/0.34 thf(decl_184, type, singletoninpowerset: $o).
% 0.22/0.34 thf(decl_185, type, epred1_0: $o).
% 0.22/0.34 thf(decl_186, type, esk1_2: $i > $i > $i).
% 0.22/0.34 thf(decl_187, type, esk2_2: $i > $i > $i).
% 0.22/0.34 thf(decl_188, type, esk3_2: $i > $i > $i).
% 0.22/0.34 thf(decl_189, type, esk4_1: $i > $i).
% 0.22/0.34 thf(decl_190, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.22/0.34 thf(decl_191, type, esk6_2: ($i > $i > $o) > $i > $i).
% 0.22/0.34 thf(decl_192, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 0.22/0.34 thf(decl_193, type, esk8_1: $i > $i).
% 0.22/0.34 thf(decl_194, type, esk9_1: ($i > $o) > $i).
% 0.22/0.34 thf(decl_195, type, esk10_1: ($i > $o) > $i).
% 0.22/0.34 thf(decl_196, type, esk11_2: $i > $i > $i).
% 0.22/0.34 thf(decl_197, type, esk12_2: $i > $i > $i).
% 0.22/0.34 thf(decl_198, type, esk13_1: $i > $i).
% 0.22/0.34 thf(decl_199, type, esk14_1: $i > $i).
% 0.22/0.34 thf(decl_200, type, esk15_1: $i > $i).
% 0.22/0.34 thf(decl_201, type, esk16_2: $i > $i > $i).
% 0.22/0.34 thf(decl_202, type, esk17_3: $i > $i > $o > $i).
% 0.22/0.34 thf(decl_203, type, esk18_1: ($i > $o) > $i).
% 0.22/0.34 thf(decl_204, type, esk19_1: $i > $i).
% 0.22/0.34 thf(decl_205, type, esk20_2: $i > ($i > $o) > $i).
% 0.22/0.34 thf(decl_206, type, esk21_2: $i > ($i > $o) > $i).
% 0.22/0.34 thf(decl_207, type, esk22_2: $i > ($i > $o) > $i).
% 0.22/0.34 thf(decl_208, type, esk23_2: $i > ($i > $o) > $i).
% 0.22/0.34 thf(decl_209, type, esk24_2: $i > ($i > $o) > $i).
% 0.22/0.34 thf(decl_210, type, esk25_2: $i > ($i > $o) > $i).
% 0.22/0.34 thf(decl_211, type, esk26_2: ($i > $o) > $i > $i).
% 0.22/0.34 thf(decl_212, type, esk27_1: ($i > $o) > $i).
% 0.22/0.34 thf(decl_213, type, esk28_1: ($i > $o) > $i).
% 0.22/0.34 thf(decl_214, type, esk29_2: ($i > $o) > $i > $i).
% 0.22/0.34 thf(decl_215, type, esk30_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.34 thf(decl_216, type, esk31_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.34 thf(decl_217, type, esk32_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.34 thf(decl_218, type, esk33_2: ($i > $o) > ($i > $o) > $i).
% 0.22/0.34 thf(decl_219, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.22/0.34 thf(decl_220, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.22/0.34 thf(decl_221, type, esk36_2: $i > $i > $i).
% 0.22/0.34 thf(decl_222, type, esk37_2: $i > $i > $i).
% 0.22/0.34 thf(decl_223, type, esk38_2: $i > $i > $i).
% 0.22/0.34 thf(decl_224, type, esk39_0: $i).
% 0.22/0.34 thf(decl_225, type, esk40_0: $i).
% 0.22/0.34 thf(decl_226, type, esk41_0: $i).
% 0.22/0.34 thf(singletoninpowunion, 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)=>((singletoninpowerset)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', singletoninpowunion)).
% 0.22/0.34 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', nonemptyI)).
% 0.22/0.34 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', exuE2)).
% 0.22/0.34 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setbeta)).
% 0.22/0.34 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setoftrueEq)).
% 0.22/0.34 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', descr__Cong)).
% 0.22/0.34 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', exuEu)).
% 0.22/0.34 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', emptyE1)).
% 0.22/0.34 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', exuE3e)).
% 0.22/0.34 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', exuI3)).
% 0.22/0.34 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', exuI1)).
% 0.22/0.34 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', exuI2)).
% 0.22/0.34 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', exu__Cong)).
% 0.22/0.34 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', exuE3u)).
% 0.22/0.34 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', dsetconstr__Cong)).
% 0.22/0.34 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', sepSubset)).
% 0.22/0.34 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', sepInPowerset)).
% 0.22/0.34 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', exuE1)).
% 0.22/0.34 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', dsetconstrER)).
% 0.22/0.34 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', dsetconstrEL)).
% 0.22/0.34 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', dsetconstrI)).
% 0.22/0.34 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', descrp)).
% 0.22/0.34 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', replAx)).
% 0.22/0.34 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', nonemptyE1)).
% 0.22/0.34 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binintersectSubset2)).
% 0.22/0.34 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binintersectEL)).
% 0.22/0.34 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binintersectLsub)).
% 0.22/0.34 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binintersectSubset3)).
% 0.22/0.34 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binintersectER)).
% 0.22/0.34 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setext)).
% 0.22/0.34 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', disjointsetsI1)).
% 0.22/0.34 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binintersectRsub)).
% 0.22/0.34 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binintersectSubset4)).
% 0.22/0.34 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binintersectSubset1)).
% 0.22/0.34 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', bs114d)).
% 0.22/0.34 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setminusI)).
% 0.22/0.34 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setminusEL)).
% 0.22/0.34 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setminusER)).
% 0.22/0.34 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setminusSubset2)).
% 0.22/0.34 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setminusERneg)).
% 0.22/0.34 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setminusELneg)).
% 0.22/0.34 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setminusILneg)).
% 0.22/0.34 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setminusIRneg)).
% 0.22/0.34 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setminusLsub)).
% 0.22/0.34 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setadjoinIL)).
% 0.22/0.34 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setminusSubset1)).
% 0.22/0.34 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', nonemptyI1)).
% 0.22/0.34 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/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', symdiffE)).
% 0.22/0.34 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', symdiffI1)).
% 0.22/0.34 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', subPowSU)).
% 0.22/0.34 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', symdiffI2)).
% 0.22/0.34 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', symdiffIneg1)).
% 0.22/0.34 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', noeltsimpempty)).
% 0.22/0.34 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', symdiffIneg2)).
% 0.22/0.34 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', emptyI)).
% 0.22/0.34 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', secondinupair)).
% 0.22/0.34 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', emptyinunitempty)).
% 0.22/0.34 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/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setukpairIL)).
% 0.22/0.34 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/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setukpairIR)).
% 0.22/0.34 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', kpairiskpair)).
% 0.22/0.34 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', kpairp)).
% 0.22/0.34 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', singletonsubset)).
% 0.22/0.34 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', singletoninpowerset)).
% 0.22/0.34 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', emptyInPowerset)).
% 0.22/0.34 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', emptyinPowerset)).
% 0.22/0.34 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', powersetI)).
% 0.22/0.34 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setadjoinOr)).
% 0.22/0.34 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setadjoinE)).
% 0.22/0.34 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setadjoinIR)).
% 0.22/0.34 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', notinemptyset)).
% 0.22/0.34 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', powersetE)).
% 0.22/0.34 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', notinsingleton)).
% 0.22/0.34 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', uniqinunit)).
% 0.22/0.34 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', nonemptyImpWitness)).
% 0.22/0.34 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', omega__Cong)).
% 0.22/0.34 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', subsetI2)).
% 0.22/0.34 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', subsetRefl)).
% 0.22/0.34 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', notequalI2)).
% 0.22/0.34 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setunionE)).
% 0.22/0.34 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setunionI)).
% 0.22/0.34 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', eqinunit)).
% 0.22/0.34 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', quantDeMorgan1)).
% 0.22/0.34 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', vacuousDall)).
% 0.22/0.34 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', upairsetIR)).
% 0.22/0.34 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', upairsetIL)).
% 0.22/0.34 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', upairsetE)).
% 0.22/0.34 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', singletonsswitch)).
% 0.22/0.34 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', quantDeMorgan2)).
% 0.22/0.34 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', notdallE)).
% 0.22/0.34 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', notdexE)).
% 0.22/0.34 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', prop2setI)).
% 0.22/0.34 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', quantDeMorgan4)).
% 0.22/0.34 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', quantDeMorgan3)).
% 0.22/0.34 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', powerset__Cong)).
% 0.22/0.34 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setadjoin__Cong)).
% 0.22/0.34 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', emptyset__Cong)).
% 0.22/0.34 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', in__Cong)).
% 0.22/0.34 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', inCongP)).
% 0.22/0.34 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setunion__Cong)).
% 0.22/0.34 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', eqimpsubset1)).
% 0.22/0.34 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', eqimpsubset2)).
% 0.22/0.34 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', subsetI1)).
% 0.22/0.34 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', notequalI1)).
% 0.22/0.34 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', notsubsetI)).
% 0.22/0.34 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', subsetE2)).
% 0.22/0.34 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', subsetE)).
% 0.22/0.34 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', emptysetsubset)).
% 0.22/0.34 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', subsetTrans)).
% 0.22/0.34 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', powersetE1)).
% 0.22/0.34 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', powersetI1)).
% 0.22/0.34 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', subsetemptysetimpeq)).
% 0.22/0.34 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setextsub)).
% 0.22/0.34 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', subset2powerset)).
% 0.22/0.34 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setadjoinSub2)).
% 0.22/0.34 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setadjoinSub)).
% 0.22/0.34 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', inPowerset)).
% 0.22/0.34 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/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binunionEcases)).
% 0.22/0.34 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binunionIR)).
% 0.22/0.34 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', upairset2IR)).
% 0.22/0.34 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binunionIL)).
% 0.22/0.34 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', powersetsubset)).
% 0.22/0.34 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binunionLsub)).
% 0.22/0.34 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binunionRsub)).
% 0.22/0.34 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binintersectI)).
% 0.22/0.34 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binintersectSubset5)).
% 0.22/0.34 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', binunionE)).
% 0.22/0.34 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', emptysetimpfalse)).
% 0.22/0.34 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', emptysetE)).
% 0.22/0.34 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', prop2setE)).
% 0.22/0.34 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', wellorderingAx)).
% 0.22/0.34 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', foundationAx)).
% 0.22/0.34 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', omegaIndAx)).
% 0.22/0.34 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', omegaSAx)).
% 0.22/0.34 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', omega0Ax)).
% 0.22/0.34 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setunionAx)).
% 0.22/0.34 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', powersetAx)).
% 0.22/0.34 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setadjoinAx)).
% 0.22/0.34 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', emptysetAx)).
% 0.22/0.34 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.WRlEvn9ldT/E---3.1_1710581.p', setextAx)).
% 0.22/0.34 thf(c_0_139, 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)=>((singletoninpowerset)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[singletoninpowunion])).
% 0.22/0.34 thf(c_0_140, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.22/0.34 thf(c_0_141, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.22/0.34 thf(c_0_142, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.22/0.34 thf(c_0_143, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.22/0.34 thf(c_0_144, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.22/0.34 thf(c_0_145, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.22/0.34 thf(c_0_146, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 0.22/0.34 thf(c_0_147, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.22/0.34 thf(c_0_148, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.22/0.34 thf(c_0_149, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 0.22/0.34 thf(c_0_150, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.22/0.34 thf(c_0_151, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.22/0.34 thf(c_0_152, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 0.22/0.34 thf(c_0_153, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.22/0.34 thf(c_0_154, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.22/0.34 thf(c_0_155, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.22/0.34 thf(c_0_156, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.22/0.34 thf(c_0_157, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.22/0.34 thf(c_0_158, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.22/0.34 thf(c_0_159, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.22/0.34 thf(c_0_160, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.22/0.34 thf(c_0_161, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.22/0.34 thf(c_0_162, plain, ((epred1_0)<=>![X418:$i]:(?[X419:$i]:((((![X420:$i]:(((in @ X420 @ X419)=>![X421:$i]:(((in @ X421 @ X420)=>(in @ X421 @ X418)))))&![X422:$i, X423:$i]:((((in @ X422 @ X418)&(in @ X423 @ X418))=>(![X424:$i]:(((in @ X424 @ X419)=>((in @ X422 @ X424)<=>(in @ X423 @ X424))))=>((X422)=(X423))))))&![X425:$i, X426:$i]:((((in @ X425 @ X419)&(in @ X426 @ X419))=>(![X427:$i]:(((in @ X427 @ X425)=>(in @ X427 @ X426)))|![X428:$i]:(((in @ X428 @ X426)=>(in @ X428 @ X425)))))))&![X429:$i]:(((![X430:$i]:(((in @ X430 @ X429)=>(in @ X430 @ X418)))&?[X431:$i]:((in @ X431 @ X429)))=>?[X432:$i, X433:$i]:(((((in @ X432 @ X419)&(in @ X433 @ X429))&~(?[X434:$i]:(((in @ X434 @ X432)&(in @ X434 @ X429)))))&![X435:$i]:(((in @ X435 @ X419)=>(![X436:$i]:(((in @ X436 @ X435)=>(in @ X436 @ X432)))|(in @ X433 @ X435)))))))))))), introduced(definition)).
% 0.22/0.34 thf(c_0_163, negated_conjecture, ~((![X391:$i, X392:$i]:((![X393:$i]:(((in @ X393 @ X391)<=>(in @ X393 @ X392)))=>((X391)=(X392))))=>(![X394:$i]:(~(in @ X394 @ emptyset))=>(![X395:$i, X396:$i, X397:$i]:(((in @ X397 @ (setadjoin @ X395 @ X396))<=>(((X397)=(X395))|(in @ X397 @ X396))))=>(![X398:$i, X399:$i]:(((in @ X399 @ (powerset @ X398))<=>![X400:$i]:(((in @ X400 @ X399)=>(in @ X400 @ X398)))))=>(![X401:$i, X402:$i]:(((in @ X402 @ (setunion @ X401))<=>?[X403:$i]:(((in @ X402 @ X403)&(in @ X403 @ X401)))))=>((in @ emptyset @ omega)=>(![X404:$i]:(((in @ X404 @ omega)=>(in @ (setadjoin @ X404 @ X404) @ omega)))=>(![X405:$i]:((((in @ emptyset @ X405)&![X406:$i]:((((in @ X406 @ omega)&(in @ X406 @ X405))=>(in @ (setadjoin @ X406 @ X406) @ X405))))=>![X407:$i]:(((in @ X407 @ omega)=>(in @ X407 @ X405)))))=>(![X408:$i > $i > $o, X409:$i]:((![X410:$i]:(((in @ X410 @ X409)=>(exu @ (X408 @ X410))))=>?[X411:$i]:(![X412:$i]:(((in @ X412 @ X411)<=>?[X413:$i]:(((in @ X413 @ X409)&(X408 @ X413 @ X412))))))))=>(![X414:$i]:((?[X415:$i]:((in @ X415 @ X414))=>?[X416:$i]:(((in @ X416 @ X414)&~(?[X417:$i]:(((in @ X417 @ X416)&(in @ X417 @ X414))))))))=>((epred1_0)=>(![X437:$i > $o]:(((exu @ X437)=>(X437 @ (descr @ (^[Z0:$i]:(X437 @ Z0))))))=>(![X438:$i, X439:$i > $o, X440:$i]:(((in @ X440 @ X438)=>((X439 @ X440)=>(in @ X440 @ (dsetconstr @ X438 @ X439)))))=>(![X441:$i, X442:$i > $o, X443:$i]:(((in @ X443 @ (dsetconstr @ X441 @ X442))=>(in @ X443 @ X441)))=>(![X444:$i, X445:$i > $o, X446:$i]:(((in @ X446 @ (dsetconstr @ X444 @ X445))=>(X445 @ X446)))=>(![X447:$i > $o]:(((exu @ X447)=>?[X448:$i]:(((X447 @ X448)&![X449:$i]:(((X447 @ X449)=>((X448)=(X449))))))))=>(![X450:$o, X451:$i]:(((in @ X451 @ (prop2set @ ((X450))))=>(X450)))=>(![X452:$i]:(((in @ X452 @ emptyset)=>![X453:$o]:((X453))))=>(![X454:$i]:(((in @ X454 @ emptyset)=>~($true)))=>(![X455:$i]:(~(in @ X455 @ emptyset))=>(![X456:$i > $o]:(((exu @ X456)=>?[X457:$i]:((X456 @ X457))))=>(![X458:$i, X459:$i]:((![X460:$i]:(((in @ X460 @ X458)=>(in @ X460 @ X459)))=>(![X461:$i]:(((in @ X461 @ X459)=>(in @ X461 @ X458)))=>((X458)=(X459)))))=>(![X462:$i]:((![X463:$i]:(~(in @ X463 @ X462))=>((X462)=(emptyset))))=>(![X464:$i]:((![X465:$i]:(~(in @ X465 @ X464))=>((X464)=(emptyset))))=>(![X466:$i, X467:$i > $o, X468:$i]:(((in @ X468 @ X466)=>((in @ X468 @ (dsetconstr @ X466 @ X467))<=>(X467 @ X468))))=>(![X469:$i]:(((nonempty @ X469)=>?[X470:$i]:((in @ X470 @ X469))))=>(![X471:$i, X472:$i > $o, X473:$i]:(((in @ X473 @ X471)=>((X472 @ X473)=>(nonempty @ (dsetconstr @ X471 @ X472)))))=>(![X474:$i]:((?[X475:$i]:((in @ X475 @ X474))=>(nonempty @ X474)))=>(![X476:$i, X477:$i]:((in @ X476 @ (setadjoin @ X476 @ X477)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X478:$i, X479:$i, X480:$i]:(((in @ X480 @ X479)=>(in @ X480 @ (setadjoin @ X478 @ X479))))=>(![X481:$i, X482:$i, X483:$i]:(((in @ X483 @ (setadjoin @ X481 @ X482))=>![X484:$o]:(((((X483)=(X481))=>(X484))=>(((in @ X483 @ X482)=>(X484))=>(X484))))))=>(![X485:$i, X486:$i, X487:$i]:(((in @ X487 @ (setadjoin @ X485 @ X486))=>(((X487)=(X485))|(in @ X487 @ X486))))=>(![X488:$i]:(((dsetconstr @ X488 @ (^[Z0:$i]:($true)))=(X488)))=>(![X489:$i, X490:$i]:((![X491:$i]:(((in @ X491 @ X490)=>(in @ X491 @ X489)))=>(in @ X490 @ (powerset @ X489))))=>(![X492:$i]:((in @ emptyset @ (powerset @ X492)))=>(![X493:$i]:((in @ emptyset @ (powerset @ X493)))=>(![X494:$i, X495:$i, X496:$i]:(((in @ X495 @ (powerset @ X494))=>((in @ X496 @ X495)=>(in @ X496 @ X494))))=>(![X497:$i, X498:$i, X499:$i]:(((in @ X498 @ X499)=>((in @ X499 @ X497)=>(in @ X498 @ (setunion @ X497)))))=>(![X500:$i, X501:$i]:(((in @ X501 @ (setunion @ X500))=>![X502:$o]:((![X503:$i]:(((in @ X501 @ X503)=>((in @ X503 @ X500)=>(X502))))=>(X502)))))=>(![X504:$i, X505:$i]:(((in @ X505 @ X504)=>(in @ X505 @ (powerset @ (setunion @ X504)))))=>(![X506:$i > $o]:(((exu @ X506)=>?[X507:$i]:(![X508:$i]:(((X506 @ X508)<=>((X508)=(X507)))))))=>(![X509:$i]:(((nonempty @ X509)=>?[X510:$i]:(((in @ X510 @ X509)&$true))))=>(![X511:$i, X512:$i]:(((in @ X511 @ (setadjoin @ X512 @ emptyset))=>((X511)=(X512))))=>(![X513:$i, X514:$i]:((((X513)!=(X514))=>~(in @ X514 @ (setadjoin @ X513 @ emptyset))))=>(![X515:$i, X516:$i]:((((X515)=(X516))=>(in @ X515 @ (setadjoin @ X516 @ emptyset))))=>(![X517:$i, X518:$i]:(((in @ X517 @ (setadjoin @ X518 @ emptyset))=>(in @ X518 @ (setadjoin @ X517 @ emptyset))))=>(![X519:$i, X520:$i, X521:$i]:(((in @ X521 @ (setadjoin @ X519 @ (setadjoin @ X520 @ emptyset)))=>(((X521)=(X519))|((X521)=(X520)))))=>(![X522:$i, X523:$i]:((in @ X522 @ (setadjoin @ X522 @ (setadjoin @ X523 @ emptyset))))=>(![X524:$i, X525:$i]:((in @ X525 @ (setadjoin @ X524 @ (setadjoin @ X525 @ emptyset))))=>(![X526:$i, X527:$i > $o]:((?[X528:$i]:(((in @ X528 @ X526)&(X527 @ X528)))=>(((dsetconstr @ X526 @ X527)=(emptyset))=>~($true))))=>(![X529:$i > $o, X530:$i]:(((in @ X530 @ emptyset)=>(X529 @ X530)))=>(![X531:$i, X532:$i > $o]:((~(![X533:$i]:(((in @ X533 @ X531)=>(X532 @ X533))))=>?[X534:$i]:(((in @ X534 @ X531)&~((X532 @ X534))))))=>(![X535:$i, X536:$i > $o]:((![X537:$i]:(((in @ X537 @ X535)=>~((X536 @ X537))))=>~(?[X538:$i]:(((in @ X538 @ X535)&(X536 @ X538))))))=>(![X539:$i, X540:$i > $o]:((~(?[X541:$i]:(((in @ X541 @ X539)&(X540 @ X541))))=>![X542:$i]:(((in @ X542 @ X539)=>~((X540 @ X542))))))=>(![X543:$i, X544:$i > $o]:((?[X545:$i]:(((in @ X545 @ X543)&~((X544 @ X545))))=>~(![X546:$i]:(((in @ X546 @ X543)=>(X544 @ X546))))))=>(![X547:$o]:(((X547)=>(in @ emptyset @ (prop2set @ ((X547))))))=>((prop2set2propI)=>(![X548:$i, X549:$i > $o]:((~(?[X550:$i]:(((in @ X550 @ X548)&(X549 @ X550))))=>![X551:$i]:(((in @ X551 @ X548)=>~((X549 @ X551))))))=>(![X552:$i, X553:$i > $o]:((~(![X554:$i]:(((in @ X554 @ X552)=>(X553 @ X554))))=>?[X555:$i]:(((in @ X555 @ X552)&~((X553 @ X555))))))=>(![X556:$i > $o]:((?[X557:$i]:(((X556 @ X557)&![X558:$i]:(((X556 @ X558)=>((X557)=(X558))))))=>(exu @ X556)))=>(![X559:$i > $o]:((?[X560:$i]:((X559 @ X560))=>(![X561:$i, X562:$i]:(((X559 @ X561)=>((X559 @ X562)=>((X561)=(X562)))))=>(exu @ X559))))=>(![X563:$i > $o]:((?[X564:$i]:(![X565:$i]:(((X563 @ X565)<=>((X565)=(X564)))))=>(exu @ X563)))=>(![X566:$i, X567:$i]:((((X566)=(X567))=>![X568:$i, X569:$i]:((((X568)=(X569))=>((in @ X568 @ X566)=>(in @ X569 @ X567))))))=>(![X570:$i, X571:$i]:((((X570)=(X571))=>![X572:$i, X573:$i]:((((X572)=(X573))=>((in @ X572 @ X570)<=>(in @ X573 @ X571))))))=>(![X574:$i > $o]:(((exu @ X574)=>![X575:$i, X576:$i]:(((X574 @ X575)=>((X574 @ X576)=>((X575)=(X576)))))))=>(![X577:$i > $o, X578:$i > $o]:((![X579:$i, X580:$i]:((((X579)=(X580))=>((X577 @ X579)<=>(X578 @ X580))))=>((exu @ X577)<=>(exu @ X578))))=>(((emptyset)=(emptyset))=>(![X581:$i, X582:$i]:((((X581)=(X582))=>![X583:$i, X584:$i]:((((X583)=(X584))=>((setadjoin @ X581 @ X583)=(setadjoin @ X582 @ X584))))))=>(![X585:$i, X586:$i]:((((X585)=(X586))=>((powerset @ X585)=(powerset @ X586))))=>(![X587:$i, X588:$i]:((((X587)=(X588))=>((setunion @ X587)=(setunion @ X588))))=>(((omega)=(omega))=>(![X589:$i > $o]:(((exu @ X589)=>![X590:$i, X591:$i]:(((X589 @ X590)=>((X589 @ X591)=>((X590)=(X591)))))))=>(![X592:$i > $o, X593:$i > $o]:((![X594:$i, X595:$i]:((((X594)=(X595))=>((X592 @ X594)<=>(X593 @ X595))))=>((exu @ X592)=>((exu @ X593)=>((descr @ X592)=(descr @ X593))))))=>(![X596:$i, X597:$i]:((((X596)=(X597))=>![X598:$i > $o, X599:$i > $o]:((![X600:$i]:(((in @ X600 @ X596)=>![X601:$i]:(((in @ X601 @ X597)=>(((X600)=(X601))=>((X598 @ X600)<=>(X599 @ X601)))))))=>((dsetconstr @ X596 @ X598)=(dsetconstr @ X597 @ X599))))))=>(![X602:$i, X603:$i]:((![X604:$i]:(((in @ X604 @ X602)=>(in @ X604 @ X603)))=>(subset @ X602 @ X603)))=>(![X605:$i, X606:$i]:((((X605)=(X606))=>(subset @ X606 @ X605)))=>(![X607:$i, X608:$i]:((((X607)=(X608))=>(subset @ X607 @ X608)))=>(![X609:$i, X610:$i]:((![X611:$i]:(((in @ X611 @ X609)=>(in @ X611 @ X610)))=>(subset @ X609 @ X610)))=>(![X612:$i]:((subset @ emptyset @ X612))=>(![X613:$i, X614:$i, X615:$i]:(((subset @ X613 @ X614)=>((in @ X615 @ X613)=>(in @ X615 @ X614))))=>(![X616:$i, X617:$i, X618:$i]:(((subset @ X616 @ X617)=>(~(in @ X618 @ X617)=>~(in @ X618 @ X616))))=>(![X619:$i, X620:$i, X621:$i]:(((in @ X621 @ X619)=>(~(in @ X621 @ X620)=>~(subset @ X619 @ X620))))=>(![X622:$i, X623:$i]:((~(subset @ X622 @ X623)=>((X622)!=(X623))))=>(![X624:$i, X625:$i, X626:$i]:(((in @ X626 @ X624)=>(~(in @ X626 @ X625)=>((X624)!=(X625)))))=>(![X627:$i]:((subset @ X627 @ X627))=>(![X628:$i, X629:$i, X630:$i]:(((subset @ X628 @ X629)=>((subset @ X629 @ X630)=>(subset @ X628 @ X630))))=>(![X631:$i, X632:$i]:((subset @ X632 @ (setadjoin @ X631 @ X632)))=>(![X633:$i, X634:$i, X635:$i]:(((subset @ X633 @ X635)=>(subset @ X633 @ (setadjoin @ X634 @ X635))))=>(![X636:$i, X637:$i]:(((subset @ X636 @ X637)=>(in @ X636 @ (powerset @ X637))))=>(![X638:$i, X639:$i]:(((subset @ X638 @ X639)=>((subset @ X639 @ X638)=>((X638)=(X639)))))=>(![X640:$i]:(((subset @ X640 @ emptyset)=>((X640)=(emptyset))))=>(![X641:$i, X642:$i]:(((subset @ X642 @ X641)=>(in @ X642 @ (powerset @ X641))))=>(![X643:$i, X644:$i]:(((in @ X644 @ (powerset @ X643))=>(subset @ X644 @ X643)))=>(![X645:$i]:((in @ X645 @ (powerset @ X645)))=>(![X646:$i, X647:$i]:(((subset @ X646 @ X647)=>(subset @ (powerset @ X646) @ (powerset @ X647))))=>(![X648:$i, X649:$i > $o]:((in @ (dsetconstr @ X648 @ X649) @ (powerset @ X648)))=>(![X650:$i, X651:$i > $o]:((subset @ (dsetconstr @ X650 @ X651) @ X650))=>(![X652:$i, X653:$i, X654:$i]:(((in @ X654 @ X652)=>(in @ X654 @ (binunion @ X652 @ X653))))=>(![X655:$i, X656:$i]:((in @ X656 @ (setadjoin @ X655 @ (setadjoin @ X656 @ emptyset))))=>(![X657:$i, X658:$i, X659:$i]:(((in @ X659 @ X658)=>(in @ X659 @ (binunion @ X657 @ X658))))=>(![X660:$i, X661:$i, X662:$i, X663:$o]:(((in @ X662 @ (binunion @ X660 @ X661))=>(((in @ X662 @ X660)=>(X663))=>(((in @ X662 @ X661)=>(X663))=>(X663)))))=>(![X664:$i, X665:$i, X666:$i]:(((in @ X666 @ (binunion @ X664 @ X665))=>((in @ X666 @ X664)|(in @ X666 @ X665))))=>(![X667:$i, X668:$i]:((subset @ X667 @ (binunion @ X667 @ X668)))=>(![X669:$i, X670:$i]:((subset @ X670 @ (binunion @ X669 @ X670)))=>(![X671:$i, X672:$i, X673:$i]:(((in @ X673 @ X671)=>((in @ X673 @ X672)=>(in @ X673 @ (binintersect @ X671 @ X672)))))=>(![X674:$i, X675:$i, X676:$i]:(((subset @ X676 @ X674)=>((subset @ X676 @ X675)=>(subset @ X676 @ (binintersect @ X674 @ X675)))))=>(![X677:$i, X678:$i, X679:$i]:(((in @ X679 @ (binintersect @ X677 @ X678))=>(in @ X679 @ X677)))=>(![X680:$i, X681:$i]:((subset @ (binintersect @ X680 @ X681) @ X680))=>(![X682:$i, X683:$i]:(((subset @ X682 @ X683)=>((binintersect @ X682 @ X683)=(X682))))=>(![X684:$i, X685:$i]:((((binintersect @ X684 @ X685)=(X685))=>(subset @ X685 @ X684)))=>(![X686:$i, X687:$i, X688:$i]:(((in @ X688 @ (binintersect @ X686 @ X687))=>(in @ X688 @ X687)))=>(![X689:$i, X690:$i]:((~(?[X691:$i]:(((in @ X691 @ X689)&(in @ X691 @ X690))))=>((binintersect @ X689 @ X690)=(emptyset))))=>(![X692:$i, X693:$i]:((subset @ (binintersect @ X692 @ X693) @ X693))=>(![X694:$i, X695:$i]:(((subset @ X695 @ X694)=>((binintersect @ X694 @ X695)=(X695))))=>(![X696:$i, X697:$i]:((((binintersect @ X696 @ X697)=(X696))=>(subset @ X696 @ X697)))=>(![X698:$i, X699:$i, X700:$i]:(((binintersect @ X698 @ (binunion @ X699 @ X700))=(binunion @ (binintersect @ X698 @ X699) @ (binintersect @ X698 @ X700))))=>(![X701:$i, X702:$i, X703:$i]:(((in @ X703 @ X701)=>(~(in @ X703 @ X702)=>(in @ X703 @ (setminus @ X701 @ X702)))))=>(![X704:$i, X705:$i, X706:$i]:(((in @ X706 @ (setminus @ X704 @ X705))=>(in @ X706 @ X704)))=>(![X707:$i, X708:$i, X709:$i]:(((in @ X709 @ (setminus @ X707 @ X708))=>~(in @ X709 @ X708)))=>(![X710:$i, X711:$i]:(((subset @ X710 @ X711)=>((setminus @ X710 @ X711)=(emptyset))))=>(![X712:$i, X713:$i, X714:$i]:((~(in @ X714 @ (setminus @ X712 @ X713))=>((in @ X714 @ X712)=>(in @ X714 @ X713))))=>(![X715:$i, X716:$i, X717:$i]:((~(in @ X717 @ (setminus @ X715 @ X716))=>(~(in @ X717 @ X716)=>~(in @ X717 @ X715))))=>(![X718:$i, X719:$i, X720:$i]:((~(in @ X720 @ X718)=>~(in @ X720 @ (setminus @ X718 @ X719))))=>(![X721:$i, X722:$i, X723:$i]:(((in @ X723 @ X722)=>~(in @ X723 @ (setminus @ X721 @ X722))))=>(![X724:$i, X725:$i]:((subset @ (setminus @ X724 @ X725) @ X724))=>(![X726:$i, X727:$i]:((((setminus @ X726 @ X727)=(emptyset))=>(subset @ X726 @ X727)))=>(![X728:$i, X729:$i, X730:$i]:(((in @ X730 @ (symdiff @ X728 @ X729))=>![X731:$o]:((((in @ X730 @ X728)=>(~(in @ X730 @ X729)=>(X731)))=>((~(in @ X730 @ X728)=>((in @ X730 @ X729)=>(X731)))=>(X731))))))=>(![X732:$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, X743:$i]:((~(in @ X743 @ X741)=>(~(in @ X743 @ X742)=>~(in @ X743 @ (symdiff @ X741 @ X742)))))=>(![X744:$i, X745:$i]:((in @ X745 @ (setadjoin @ X744 @ (setadjoin @ X745 @ emptyset))))=>(![X746:$i, X747:$i]:((in @ X746 @ (setunion @ (setadjoin @ (setadjoin @ X746 @ emptyset) @ (setadjoin @ (setadjoin @ X746 @ (setadjoin @ X747 @ emptyset)) @ emptyset)))))=>(![X748:$i, X749:$i]:((in @ X749 @ (setunion @ (setadjoin @ (setadjoin @ X748 @ emptyset) @ (setadjoin @ (setadjoin @ X748 @ (setadjoin @ X749 @ emptyset)) @ emptyset)))))=>(![X750:$i, X751:$i]:((iskpair @ (setadjoin @ (setadjoin @ X750 @ emptyset) @ (setadjoin @ (setadjoin @ X750 @ (setadjoin @ X751 @ emptyset)) @ emptyset))))=>(![X752:$i, X753:$i]:((iskpair @ (kpair @ X752 @ X753)))=>(![X754:$i, X755:$i]:(((in @ X755 @ X754)=>(subset @ (setadjoin @ X755 @ emptyset) @ X754)))=>(![X756:$i, X757:$i]:(((in @ X757 @ X756)=>(in @ (setadjoin @ X757 @ emptyset) @ (powerset @ X756))))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(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_139, nonemptyE1]), binintersectSubset2]), binintersectEL]), binintersectLsub]), binintersectSubset3]), binintersectER]), setext]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setadjoinIL]), setminusSubset1]), nonemptyI1]), symdiffE]), c_0_140]), symdiffI1]), c_0_141]), subPowSU]), symdiffI2]), c_0_142]), symdiffIneg1]), noeltsimpempty]), symdiffIneg2]), emptyI]), secondinupair]), emptyinunitempty]), setukpairIL]), setukpairIR]), kpairiskpair]), kpairp]), singletonsubset]), singletoninpowerset]), emptyInPowerset]), emptyinPowerset]), powersetI]), c_0_143]), setadjoinOr]), setadjoinE]), setadjoinIR]), notinemptyset]), powersetE]), notinsingleton]), uniqinunit]), nonemptyImpWitness]), c_0_144]), c_0_145]), omega__Cong]), subsetI2]), subsetRefl]), notequalI2]), setunionE]), setunionI]), eqinunit]), quantDeMorgan1]), vacuousDall]), c_0_146]), upairsetIR]), upairsetIL]), upairsetE]), c_0_147]), singletonsswitch]), quantDeMorgan2]), c_0_148]), c_0_149]), notdallE]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), c_0_150]), powerset__Cong]), setadjoin__Cong]), emptyset__Cong]), c_0_151]), c_0_152]), in__Cong]), inCongP]), setunion__Cong]), eqimpsubset1]), eqimpsubset2]), subsetI1]), c_0_153]), notequalI1]), notsubsetI]), subsetE2]), subsetE]), emptysetsubset]), subsetTrans]), powersetE1]), powersetI1]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub2]), setadjoinSub]), inPowerset]), binunionEcases]), binunionIR]), upairset2IR]), binunionIL]), c_0_154]), c_0_155]), powersetsubset]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binunionE]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_156]), c_0_157]), c_0_158]), c_0_159]), c_0_160]), wellorderingAx]), foundationAx]), c_0_161]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_162])).
% 0.22/0.34 thf(c_0_164, negated_conjecture, ![X758:$i, X759:$i, X761:$i, X762:$i, X763:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X769:$i, X771:$i, X772:$i, X774:$i, X775:$i, X776:$i, X777:$i, X778:$i, X780:$i, X781:$i > $i > $o, X782:$i, X785:$i, X787:$i, X788:$i, X789:$i, X790:$i, X792:$i, X793:$i > $o, X794:$i, X795:$i > $o, X796:$i, X797:$i, X798:$i > $o, X799:$i, X800:$i, X801:$i > $o, X802:$i, X803:$i > $o, X805:$i, X806:$o, X807:$i, X808:$i, X809:$o, X810:$i, X811:$i, X812:$i > $o, X814:$i, X815:$i, X818:$i, X820:$i, X822:$i, X823:$i > $o, X824:$i, X825:$i, X827:$i, X828:$i > $o, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i, X835:$i, X836:$i, X837:$i, X838:$i, X839:$i, X840:$o, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$o, X860:$i, X861:$i, X862:$i > $o, X864:$i, X865:$i, X866:$i, X868:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i > $o, X885:$i, X886:$i > $o, X887:$i, X888:$i, X889:$i > $o, X890:$i, X892:$i, X893:$i > $o, X895:$i, X896:$i, X897:$i > $o, X899:$i, X900:$i, X901:$i > $o, X902:$i, X904:$o, X905:$i, X906:$i > $o, X908:$i, X909:$i, X910:$i > $o, X911:$i, X913:$i > $o, X914:$i, X916:$i > $o, X917:$i, X920:$i > $o, X921:$i, X923:$i, X924:$i, X925:$i, X926:$i, X927:$i, X928:$i, X929:$i, X930:$i, X931:$i > $o, X932:$i, X933:$i, X934:$i > $o, X935:$i > $o, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$i > $o, X947:$i, X948:$i, X949:$i > $o, X950:$i > $o, X953:$i, X954:$i, X955:$i > $o, X956:$i > $o, X959:$i, X960:$i, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X967:$i, X969:$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, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i > $o, X1007:$i, X1008:$i > $o, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$o, X1021:$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:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$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:$i, X1084:$i, X1085:$i, X1086:$i, X1087:$i, X1088:$o, 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:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1112:$i, X1113:$i, X1114:$i]:((((~(in @ (esk1_2 @ X758 @ X759) @ X758)|~(in @ (esk1_2 @ X758 @ X759) @ X759)|((X758)=(X759)))&((in @ (esk1_2 @ X758 @ X759) @ X758)|(in @ (esk1_2 @ X758 @ X759) @ X759)|((X758)=(X759))))&(~(in @ X761 @ emptyset)&(((~(in @ X764 @ (setadjoin @ X762 @ X763))|(((X764)=(X762))|(in @ X764 @ X763)))&((((X764)!=(X762))|(in @ X764 @ (setadjoin @ X762 @ X763)))&(~(in @ X764 @ X763)|(in @ X764 @ (setadjoin @ X762 @ X763)))))&(((~(in @ X766 @ (powerset @ X765))|(~(in @ X767 @ X766)|(in @ X767 @ X765)))&(((in @ (esk2_2 @ X768 @ X769) @ X769)|(in @ X769 @ (powerset @ X768)))&(~(in @ (esk2_2 @ X768 @ X769) @ X768)|(in @ X769 @ (powerset @ X768)))))&(((((in @ X772 @ (esk3_2 @ X771 @ X772))|~(in @ X772 @ (setunion @ X771)))&((in @ (esk3_2 @ X771 @ X772) @ X771)|~(in @ X772 @ (setunion @ X771))))&(~(in @ X775 @ X776)|~(in @ X776 @ X774)|(in @ X775 @ (setunion @ X774))))&((in @ emptyset @ omega)&((~(in @ X777 @ omega)|(in @ (setadjoin @ X777 @ X777) @ omega))&(((((in @ (esk4_1 @ X778) @ omega)|~(in @ emptyset @ X778)|(~(in @ X780 @ omega)|(in @ X780 @ X778)))&((in @ (esk4_1 @ X778) @ X778)|~(in @ emptyset @ X778)|(~(in @ X780 @ omega)|(in @ X780 @ X778))))&(~(in @ (setadjoin @ (esk4_1 @ X778) @ (esk4_1 @ X778)) @ X778)|~(in @ emptyset @ X778)|(~(in @ X780 @ omega)|(in @ X780 @ X778))))&((((((in @ (esk7_3 @ X781 @ X782 @ X785) @ X782)|~(in @ X785 @ (esk6_2 @ X781 @ X782))|(in @ (esk5_2 @ X781 @ X782) @ X782))&((X781 @ (esk7_3 @ X781 @ X782 @ X785) @ X785)|~(in @ X785 @ (esk6_2 @ X781 @ X782))|(in @ (esk5_2 @ X781 @ X782) @ X782)))&(~(in @ X788 @ X782)|~(X781 @ X788 @ X787)|(in @ X787 @ (esk6_2 @ X781 @ X782))|(in @ (esk5_2 @ X781 @ X782) @ X782)))&((((in @ (esk7_3 @ X781 @ X782 @ X785) @ X782)|~(in @ X785 @ (esk6_2 @ X781 @ X782))|~(exu @ (X781 @ (esk5_2 @ X781 @ X782))))&((X781 @ (esk7_3 @ X781 @ X782 @ X785) @ X785)|~(in @ X785 @ (esk6_2 @ X781 @ X782))|~(exu @ (X781 @ (esk5_2 @ X781 @ X782)))))&(~(in @ X788 @ X782)|~(X781 @ X788 @ X787)|(in @ X787 @ (esk6_2 @ X781 @ X782))|~(exu @ (X781 @ (esk5_2 @ X781 @ X782))))))&((((in @ (esk8_1 @ X789) @ X789)|~(in @ X790 @ X789))&(~(in @ X792 @ (esk8_1 @ X789))|~(in @ X792 @ X789)|~(in @ X790 @ X789)))&((epred1_0)&((~(exu @ X793)|(X793 @ (descr @ X793)))&((~(in @ X796 @ X794)|(~(X795 @ X796)|(in @ X796 @ (dsetconstr @ X794 @ X795))))&((~(in @ X799 @ (dsetconstr @ X797 @ X798))|(in @ X799 @ X797))&((~(in @ X802 @ (dsetconstr @ X800 @ X801))|(X801 @ X802))&((((X803 @ (esk9_1 @ X803))|~(exu @ X803))&(~(X803 @ X805)|((esk9_1 @ X803)=(X805))|~(exu @ X803)))&((~(in @ X807 @ (prop2set @ ((X806))))|(X806))&((~(in @ X808 @ emptyset)|(X809))&((~(in @ X810 @ emptyset)|~($true))&(~(in @ X811 @ emptyset)&((~(exu @ X812)|(X812 @ (esk10_1 @ X812)))&(((((in @ (esk12_2 @ X814 @ X815) @ X815)|((X814)=(X815))|(in @ (esk11_2 @ X814 @ X815) @ X814))&(~(in @ (esk12_2 @ X814 @ X815) @ X814)|((X814)=(X815))|(in @ (esk11_2 @ X814 @ X815) @ X814)))&(((in @ (esk12_2 @ X814 @ X815) @ X815)|((X814)=(X815))|~(in @ (esk11_2 @ X814 @ X815) @ X815))&(~(in @ (esk12_2 @ X814 @ X815) @ X814)|((X814)=(X815))|~(in @ (esk11_2 @ X814 @ X815) @ X815))))&(((in @ (esk13_1 @ X818) @ X818)|((X818)=(emptyset)))&(((in @ (esk14_1 @ X820) @ X820)|((X820)=(emptyset)))&(((~(in @ X824 @ (dsetconstr @ X822 @ X823))|(X823 @ X824)|~(in @ X824 @ X822))&(~(X823 @ X824)|(in @ X824 @ (dsetconstr @ X822 @ X823))|~(in @ X824 @ X822)))&((~(nonempty @ X825)|(in @ (esk15_1 @ X825) @ X825))&((~(in @ X829 @ X827)|(~(X828 @ X829)|(nonempty @ (dsetconstr @ X827 @ X828))))&((~(in @ X831 @ X830)|(nonempty @ X830))&((in @ X832 @ (setadjoin @ X832 @ X833))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X836 @ X835)|(in @ X836 @ (setadjoin @ X834 @ X835)))&(((((in @ X839 @ X838)|(X840)|((X839)=(X837))|~(in @ X839 @ (setadjoin @ X837 @ X838)))&(~(X840)|(X840)|((X839)=(X837))|~(in @ X839 @ (setadjoin @ X837 @ X838))))&(((in @ X839 @ X838)|(X840)|~(X840)|~(in @ X839 @ (setadjoin @ X837 @ X838)))&(~(X840)|(X840)|~(X840)|~(in @ X839 @ (setadjoin @ X837 @ X838)))))&((~(in @ X843 @ (setadjoin @ X841 @ X842))|(((X843)=(X841))|(in @ X843 @ X842)))&(((dsetconstr @ X844 @ (^[Z0:$i]:($true)))=(X844))&((((in @ (esk16_2 @ X845 @ X846) @ X846)|(in @ X846 @ (powerset @ X845)))&(~(in @ (esk16_2 @ X845 @ X846) @ X845)|(in @ X846 @ (powerset @ X845))))&((in @ emptyset @ (powerset @ X848))&((in @ emptyset @ (powerset @ X849))&((~(in @ X851 @ (powerset @ X850))|(~(in @ X852 @ X851)|(in @ X852 @ X850)))&((~(in @ X854 @ X855)|(~(in @ X855 @ X853)|(in @ X854 @ (setunion @ X853))))&((((in @ X857 @ (esk17_3 @ X856 @ X857 @ X858))|(X858)|~(in @ X857 @ (setunion @ X856)))&(((in @ (esk17_3 @ X856 @ X857 @ X858) @ X856)|(X858)|~(in @ X857 @ (setunion @ X856)))&(~(X858)|(X858)|~(in @ X857 @ (setunion @ X856)))))&((~(in @ X861 @ X860)|(in @ X861 @ (powerset @ (setunion @ X860))))&(((~(X862 @ X864)|((X864)=(esk18_1 @ X862))|~(exu @ X862))&(((X865)!=(esk18_1 @ X862))|(X862 @ X865)|~(exu @ X862)))&((((in @ (esk19_1 @ X866) @ X866)|~(nonempty @ X866))&(($true)|~(nonempty @ X866)))&((~(in @ X868 @ (setadjoin @ X869 @ emptyset))|((X868)=(X869)))&((((X870)=(X871))|~(in @ X871 @ (setadjoin @ X870 @ emptyset)))&((((X872)!=(X873))|(in @ X872 @ (setadjoin @ X873 @ emptyset)))&((~(in @ X874 @ (setadjoin @ X875 @ emptyset))|(in @ X875 @ (setadjoin @ X874 @ emptyset)))&((~(in @ X878 @ (setadjoin @ X876 @ (setadjoin @ X877 @ emptyset)))|(((X878)=(X876))|((X878)=(X877))))&((in @ X879 @ (setadjoin @ X879 @ (setadjoin @ X880 @ emptyset)))&((in @ X882 @ (setadjoin @ X881 @ (setadjoin @ X882 @ emptyset)))&((~(in @ X885 @ X883)|~(X884 @ X885)|(((dsetconstr @ X883 @ X884)!=(emptyset))|~($true)))&((~(in @ X887 @ emptyset)|(X886 @ X887))&((((in @ (esk20_2 @ X888 @ X889) @ X888)|(~(in @ X890 @ X888)|(X889 @ X890)))&(~(X889 @ (esk20_2 @ X888 @ X889))|(~(in @ X890 @ X888)|(X889 @ X890))))&((((in @ (esk21_2 @ X892 @ X893) @ X892)|(~(in @ X895 @ X892)|~(X893 @ X895)))&((X893 @ (esk21_2 @ X892 @ X893))|(~(in @ X895 @ X892)|~(X893 @ X895))))&((((in @ (esk22_2 @ X896 @ X897) @ X896)|(~(in @ X899 @ X896)|~(X897 @ X899)))&((X897 @ (esk22_2 @ X896 @ X897))|(~(in @ X899 @ X896)|~(X897 @ X899))))&((((in @ (esk23_2 @ X900 @ X901) @ X900)|(~(in @ X902 @ X900)|(X901 @ X902)))&(~(X901 @ (esk23_2 @ X900 @ X901))|(~(in @ X902 @ X900)|(X901 @ X902))))&((~(X904)|(in @ emptyset @ (prop2set @ ((X904)))))&((prop2set2propI)&((((in @ (esk24_2 @ X905 @ X906) @ X905)|(~(in @ X908 @ X905)|~(X906 @ X908)))&((X906 @ (esk24_2 @ X905 @ X906))|(~(in @ X908 @ X905)|~(X906 @ X908))))&((((in @ (esk25_2 @ X909 @ X910) @ X909)|(~(in @ X911 @ X909)|(X910 @ X911)))&(~(X910 @ (esk25_2 @ X909 @ X910))|(~(in @ X911 @ X909)|(X910 @ X911))))&((((X913 @ (esk26_2 @ X913 @ X914))|~(X913 @ X914)|(exu @ X913))&(((X914)!=(esk26_2 @ X913 @ X914))|~(X913 @ X914)|(exu @ X913)))&((((X916 @ (esk27_1 @ X916))|(exu @ X916)|~(X916 @ X917))&(((X916 @ (esk28_1 @ X916))|(exu @ X916)|~(X916 @ X917))&(((esk27_1 @ X916)!=(esk28_1 @ X916))|(exu @ X916)|~(X916 @ X917))))&(((~(X920 @ (esk29_2 @ X920 @ X921))|((esk29_2 @ X920 @ X921)!=(X921))|(exu @ X920))&((X920 @ (esk29_2 @ X920 @ X921))|((esk29_2 @ X920 @ X921)=(X921))|(exu @ X920)))&((((X923)!=(X924))|(((X925)!=(X926))|(~(in @ X925 @ X923)|(in @ X926 @ X924))))&(((~(in @ X929 @ X927)|(in @ X930 @ X928)|((X929)!=(X930))|((X927)!=(X928)))&(~(in @ X930 @ X928)|(in @ X929 @ X927)|((X929)!=(X930))|((X927)!=(X928))))&((~(exu @ X931)|(~(X931 @ X932)|(~(X931 @ X933)|((X932)=(X933)))))&((((~(exu @ X934)|(exu @ X935)|((esk30_2 @ X934 @ X935)=(esk31_2 @ X934 @ X935)))&(~(exu @ X935)|(exu @ X934)|((esk30_2 @ X934 @ X935)=(esk31_2 @ X934 @ X935))))&(((~(exu @ X934)|(exu @ X935)|(~(X934 @ (esk30_2 @ X934 @ X935))|~(X935 @ (esk31_2 @ X934 @ X935))))&(~(exu @ X935)|(exu @ X934)|(~(X934 @ (esk30_2 @ X934 @ X935))|~(X935 @ (esk31_2 @ X934 @ X935)))))&((~(exu @ X934)|(exu @ X935)|((X934 @ (esk30_2 @ X934 @ X935))|(X935 @ (esk31_2 @ X934 @ X935))))&(~(exu @ X935)|(exu @ X934)|((X934 @ (esk30_2 @ X934 @ X935))|(X935 @ (esk31_2 @ X934 @ X935)))))))&(((emptyset)=(emptyset))&((((X938)!=(X939))|(((X940)!=(X941))|((setadjoin @ X938 @ X940)=(setadjoin @ X939 @ X941))))&((((X942)!=(X943))|((powerset @ X942)=(powerset @ X943)))&((((X944)!=(X945))|((setunion @ X944)=(setunion @ X945)))&(((omega)=(omega))&((~(exu @ X946)|(~(X946 @ X947)|(~(X946 @ X948)|((X947)=(X948)))))&(((((esk32_2 @ X949 @ X950)=(esk33_2 @ X949 @ X950))|(~(exu @ X949)|(~(exu @ X950)|((descr @ X949)=(descr @ X950)))))&((~(X949 @ (esk32_2 @ X949 @ X950))|~(X950 @ (esk33_2 @ X949 @ X950))|(~(exu @ X949)|(~(exu @ X950)|((descr @ X949)=(descr @ X950)))))&((X949 @ (esk32_2 @ X949 @ X950))|(X950 @ (esk33_2 @ X949 @ X950))|(~(exu @ X949)|(~(exu @ X950)|((descr @ X949)=(descr @ X950)))))))&((((in @ (esk34_4 @ X953 @ X954 @ X955 @ X956) @ X953)|((dsetconstr @ X953 @ X955)=(dsetconstr @ X954 @ X956))|((X953)!=(X954)))&(((in @ (esk35_4 @ X953 @ X954 @ X955 @ X956) @ X954)|((dsetconstr @ X953 @ X955)=(dsetconstr @ X954 @ X956))|((X953)!=(X954)))&((((esk34_4 @ X953 @ X954 @ X955 @ X956)=(esk35_4 @ X953 @ X954 @ X955 @ X956))|((dsetconstr @ X953 @ X955)=(dsetconstr @ X954 @ X956))|((X953)!=(X954)))&((~(X955 @ (esk34_4 @ X953 @ X954 @ X955 @ X956))|~(X956 @ (esk35_4 @ X953 @ X954 @ X955 @ X956))|((dsetconstr @ X953 @ X955)=(dsetconstr @ X954 @ X956))|((X953)!=(X954)))&((X955 @ (esk34_4 @ X953 @ X954 @ X955 @ X956))|(X956 @ (esk35_4 @ X953 @ X954 @ X955 @ X956))|((dsetconstr @ X953 @ X955)=(dsetconstr @ X954 @ X956))|((X953)!=(X954)))))))&((((in @ (esk36_2 @ X959 @ X960) @ X959)|(subset @ X959 @ X960))&(~(in @ (esk36_2 @ X959 @ X960) @ X960)|(subset @ X959 @ X960)))&((((X962)!=(X963))|(subset @ X963 @ X962))&((((X964)!=(X965))|(subset @ X964 @ X965))&((((in @ (esk37_2 @ X966 @ X967) @ X966)|(subset @ X966 @ X967))&(~(in @ (esk37_2 @ X966 @ X967) @ X967)|(subset @ X966 @ X967)))&((subset @ emptyset @ X969)&((~(subset @ X970 @ X971)|(~(in @ X972 @ X970)|(in @ X972 @ X971)))&((~(subset @ X973 @ X974)|((in @ X975 @ X974)|~(in @ X975 @ X973)))&((~(in @ X978 @ X976)|((in @ X978 @ X977)|~(subset @ X976 @ X977)))&(((subset @ X979 @ X980)|((X979)!=(X980)))&((~(in @ X983 @ X981)|((in @ X983 @ X982)|((X981)!=(X982))))&((subset @ X984 @ X984)&((~(subset @ X985 @ X986)|(~(subset @ X986 @ X987)|(subset @ X985 @ X987)))&((subset @ X989 @ (setadjoin @ X988 @ X989))&((~(subset @ X990 @ X992)|(subset @ X990 @ (setadjoin @ X991 @ X992)))&((~(subset @ X993 @ X994)|(in @ X993 @ (powerset @ X994)))&((~(subset @ X995 @ X996)|(~(subset @ X996 @ X995)|((X995)=(X996))))&((~(subset @ X997 @ emptyset)|((X997)=(emptyset)))&((~(subset @ X999 @ X998)|(in @ X999 @ (powerset @ X998)))&((~(in @ X1001 @ (powerset @ X1000))|(subset @ X1001 @ X1000))&((in @ X1002 @ (powerset @ X1002))&((~(subset @ X1003 @ X1004)|(subset @ (powerset @ X1003) @ (powerset @ X1004)))&((in @ (dsetconstr @ X1005 @ X1006) @ (powerset @ X1005))&((subset @ (dsetconstr @ X1007 @ X1008) @ X1007)&((~(in @ X1011 @ X1009)|(in @ X1011 @ (binunion @ X1009 @ X1010)))&((in @ X1013 @ (setadjoin @ X1012 @ (setadjoin @ X1013 @ emptyset)))&((~(in @ X1016 @ X1015)|(in @ X1016 @ (binunion @ X1014 @ X1015)))&(((((in @ X1019 @ X1018)|(X1020)|(in @ X1019 @ X1017)|~(in @ X1019 @ (binunion @ X1017 @ X1018)))&(~(X1020)|(X1020)|(in @ X1019 @ X1017)|~(in @ X1019 @ (binunion @ X1017 @ X1018))))&(((in @ X1019 @ X1018)|(X1020)|~(X1020)|~(in @ X1019 @ (binunion @ X1017 @ X1018)))&(~(X1020)|(X1020)|~(X1020)|~(in @ X1019 @ (binunion @ X1017 @ X1018)))))&((~(in @ X1023 @ (binunion @ X1021 @ X1022))|((in @ X1023 @ X1021)|(in @ X1023 @ X1022)))&((subset @ X1024 @ (binunion @ X1024 @ X1025))&((subset @ X1027 @ (binunion @ X1026 @ X1027))&((~(in @ X1030 @ X1028)|(~(in @ X1030 @ X1029)|(in @ X1030 @ (binintersect @ X1028 @ X1029))))&((~(subset @ X1033 @ X1031)|(~(subset @ X1033 @ X1032)|(subset @ X1033 @ (binintersect @ X1031 @ X1032))))&((~(in @ X1036 @ (binintersect @ X1034 @ X1035))|(in @ X1036 @ X1034))&((subset @ (binintersect @ X1037 @ X1038) @ X1037)&((~(subset @ X1039 @ X1040)|((binintersect @ X1039 @ X1040)=(X1039)))&((((binintersect @ X1041 @ X1042)!=(X1042))|(subset @ X1042 @ X1041))&((~(in @ X1045 @ (binintersect @ X1043 @ X1044))|(in @ X1045 @ X1044))&((((in @ (esk38_2 @ X1046 @ X1047) @ X1046)|((binintersect @ X1046 @ X1047)=(emptyset)))&((in @ (esk38_2 @ X1046 @ X1047) @ X1047)|((binintersect @ X1046 @ X1047)=(emptyset))))&((subset @ (binintersect @ X1049 @ X1050) @ X1050)&((~(subset @ X1052 @ X1051)|((binintersect @ X1051 @ X1052)=(X1052)))&((((binintersect @ X1053 @ X1054)!=(X1053))|(subset @ X1053 @ X1054))&(((binintersect @ X1055 @ (binunion @ X1056 @ X1057))=(binunion @ (binintersect @ X1055 @ X1056) @ (binintersect @ X1055 @ X1057)))&((~(in @ X1060 @ X1058)|((in @ X1060 @ X1059)|(in @ X1060 @ (setminus @ X1058 @ X1059))))&((~(in @ X1063 @ (setminus @ X1061 @ X1062))|(in @ X1063 @ X1061))&((~(in @ X1066 @ (setminus @ X1064 @ X1065))|~(in @ X1066 @ X1065))&((~(subset @ X1067 @ X1068)|((setminus @ X1067 @ X1068)=(emptyset)))&(((in @ X1071 @ (setminus @ X1069 @ X1070))|(~(in @ X1071 @ X1069)|(in @ X1071 @ X1070)))&(((in @ X1074 @ (setminus @ X1072 @ X1073))|((in @ X1074 @ X1073)|~(in @ X1074 @ X1072)))&(((in @ X1077 @ X1075)|~(in @ X1077 @ (setminus @ X1075 @ X1076)))&((~(in @ X1080 @ X1079)|~(in @ X1080 @ (setminus @ X1078 @ X1079)))&((subset @ (setminus @ X1081 @ X1082) @ X1081)&((((setminus @ X1083 @ X1084)!=(emptyset))|(subset @ X1083 @ X1084))&((((~(in @ X1087 @ X1085)|(X1088)|(in @ X1087 @ X1085)|~(in @ X1087 @ (symdiff @ X1085 @ X1086)))&(((in @ X1087 @ X1086)|(X1088)|(in @ X1087 @ X1085)|~(in @ X1087 @ (symdiff @ X1085 @ X1086)))&(~(X1088)|(X1088)|(in @ X1087 @ X1085)|~(in @ X1087 @ (symdiff @ X1085 @ X1086)))))&(((~(in @ X1087 @ X1085)|(X1088)|~(in @ X1087 @ X1086)|~(in @ X1087 @ (symdiff @ X1085 @ X1086)))&(((in @ X1087 @ X1086)|(X1088)|~(in @ X1087 @ X1086)|~(in @ X1087 @ (symdiff @ X1085 @ X1086)))&(~(X1088)|(X1088)|~(in @ X1087 @ X1086)|~(in @ X1087 @ (symdiff @ X1085 @ X1086)))))&((~(in @ X1087 @ X1085)|(X1088)|~(X1088)|~(in @ X1087 @ (symdiff @ X1085 @ X1086)))&(((in @ X1087 @ X1086)|(X1088)|~(X1088)|~(in @ X1087 @ (symdiff @ X1085 @ X1086)))&(~(X1088)|(X1088)|~(X1088)|~(in @ X1087 @ (symdiff @ X1085 @ X1086)))))))&((~(in @ X1091 @ X1089)|((in @ X1091 @ X1090)|(in @ X1091 @ (symdiff @ X1089 @ X1090))))&(((in @ X1094 @ X1092)|(~(in @ X1094 @ X1093)|(in @ X1094 @ (symdiff @ X1092 @ X1093))))&((~(in @ X1097 @ X1095)|(~(in @ X1097 @ X1096)|~(in @ X1097 @ (symdiff @ X1095 @ X1096))))&(((in @ X1100 @ X1098)|((in @ X1100 @ X1099)|~(in @ X1100 @ (symdiff @ X1098 @ X1099))))&((in @ X1102 @ (setadjoin @ X1101 @ (setadjoin @ X1102 @ emptyset)))&((in @ X1103 @ (setunion @ (setadjoin @ (setadjoin @ X1103 @ emptyset) @ (setadjoin @ (setadjoin @ X1103 @ (setadjoin @ X1104 @ emptyset)) @ emptyset))))&((in @ X1106 @ (setunion @ (setadjoin @ (setadjoin @ X1105 @ emptyset) @ (setadjoin @ (setadjoin @ X1105 @ (setadjoin @ X1106 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1107 @ emptyset) @ (setadjoin @ (setadjoin @ X1107 @ (setadjoin @ X1108 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1109 @ X1110))&((~(in @ X1112 @ X1111)|(subset @ (setadjoin @ X1112 @ emptyset) @ X1111))&((~(in @ X1114 @ X1113)|(in @ (setadjoin @ X1114 @ emptyset) @ (powerset @ X1113)))&((in @ esk41_0 @ esk39_0)&~(in @ (setadjoin @ esk41_0 @ emptyset) @ (powerset @ (binunion @ esk39_0 @ esk40_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_163])])])])])])])).
% 0.22/0.34 thf(c_0_165, negated_conjecture, ~((in @ (setadjoin @ esk41_0 @ emptyset) @ (powerset @ (binunion @ esk39_0 @ esk40_0)))), inference(split_conjunct,[status(thm)],[c_0_164])).
% 0.22/0.34 thf(c_0_166, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X3))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_164])).
% 0.22/0.34 thf(c_0_167, negated_conjecture, ~((in @ esk41_0 @ (binunion @ esk39_0 @ esk40_0))), inference(spm,[status(thm)],[c_0_165, c_0_166])).
% 0.22/0.34 thf(c_0_168, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (binunion @ X3 @ X4))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_164])).
% 0.22/0.34 thf(c_0_169, negated_conjecture, (in @ esk41_0 @ esk39_0), inference(split_conjunct,[status(thm)],[c_0_164])).
% 0.22/0.34 thf(c_0_170, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167, c_0_168]), c_0_169])]), ['proof']).
% 0.22/0.34 % SZS output end CNFRefutation
% 0.22/0.34 % Parsed axioms : 307
% 0.22/0.34 % Removed by relevancy pruning/SinE : 168
% 0.22/0.34 % Initial clauses : 220
% 0.22/0.34 % Removed in clause preprocessing : 25
% 0.22/0.34 % Initial clauses in saturation : 195
% 0.22/0.34 % Processed clauses : 679
% 0.22/0.34 % ...of these trivial : 25
% 0.22/0.34 % ...subsumed : 362
% 0.22/0.34 % ...remaining for further processing : 292
% 0.22/0.34 % Other redundant clauses eliminated : 15
% 0.22/0.34 % Clauses deleted for lack of memory : 0
% 0.22/0.34 % Backward-subsumed : 3
% 0.22/0.34 % Backward-rewritten : 6
% 0.22/0.34 % Generated clauses : 2241
% 0.22/0.34 % ...of the previous two non-redundant : 1941
% 0.22/0.34 % ...aggressively subsumed : 0
% 0.22/0.34 % Contextual simplify-reflections : 0
% 0.22/0.34 % Paramodulations : 2226
% 0.22/0.34 % Factorizations : 0
% 0.22/0.34 % NegExts : 0
% 0.22/0.34 % Equation resolutions : 15
% 0.22/0.34 % Disequality decompositions : 0
% 0.22/0.34 % Total rewrite steps : 318
% 0.22/0.34 % ...of those cached : 250
% 0.22/0.34 % Propositional unsat checks : 0
% 0.22/0.34 % Propositional check models : 0
% 0.22/0.34 % Propositional check unsatisfiable : 0
% 0.22/0.34 % Propositional clauses : 0
% 0.22/0.34 % Propositional clauses after purity: 0
% 0.22/0.34 % Propositional unsat core size : 0
% 0.22/0.34 % Propositional preprocessing time : 0.000
% 0.22/0.34 % Propositional encoding time : 0.000
% 0.22/0.34 % Propositional solver time : 0.000
% 0.22/0.34 % Success case prop preproc time : 0.000
% 0.22/0.34 % Success case prop encoding time : 0.000
% 0.22/0.34 % Success case prop solver time : 0.000
% 0.22/0.34 % Current number of processed clauses : 277
% 0.22/0.34 % Positive orientable unit clauses : 56
% 0.22/0.34 % Positive unorientable unit clauses: 0
% 0.22/0.34 % Negative unit clauses : 4
% 0.22/0.34 % Non-unit-clauses : 217
% 0.22/0.34 % Current number of unprocessed clauses: 1406
% 0.22/0.34 % ...number of literals in the above : 3889
% 0.22/0.34 % Current number of archived formulas : 0
% 0.22/0.34 % Current number of archived clauses : 9
% 0.22/0.34 % Clause-clause subsumption calls (NU) : 4393
% 0.22/0.34 % Rec. Clause-clause subsumption calls : 4147
% 0.22/0.34 % Non-unit clause-clause subsumptions : 336
% 0.22/0.34 % Unit Clause-clause subsumption calls : 85
% 0.22/0.34 % Rewrite failures with RHS unbound : 0
% 0.22/0.34 % BW rewrite match attempts : 8
% 0.22/0.34 % BW rewrite match successes : 4
% 0.22/0.34 % Condensation attempts : 0
% 0.22/0.34 % Condensation successes : 0
% 0.22/0.34 % Termbank termtop insertions : 52346
% 0.22/0.34 % Search garbage collected termcells : 12060
% 0.22/0.34
% 0.22/0.34 % -------------------------------------------------
% 0.22/0.34 % User time : 0.045 s
% 0.22/0.34 % System time : 0.007 s
% 0.22/0.34 % Total time : 0.052 s
% 0.22/0.34 % Maximum resident set size: 6752 pages
% 0.22/0.34
% 0.22/0.34 % -------------------------------------------------
% 0.22/0.34 % User time : 0.051 s
% 0.22/0.34 % System time : 0.014 s
% 0.22/0.34 % Total time : 0.065 s
% 0.22/0.34 % Maximum resident set size: 5120 pages
% 0.22/0.34 % E exiting
%------------------------------------------------------------------------------