%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU628^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:24:47 AM UTC 2026
% Result : Theorem 1.58s 0.51s
% Output : CNFRefutation 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU628^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n015.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 14:02:47 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.24 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.t6vgCjndpW/E---3.1_3570889.p
% 1.58/0.51 % Version: 3.5.1-ho
% 1.58/0.51 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.58/0.51 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/0.51 % Starting ehoh_best5 with 300s (1) cores
% 1.58/0.51 % Starting almost_fo_3_lam with 300s (1) cores
% 1.58/0.51 % Starting new_bool_5 with 300s (1) cores
% 1.58/0.51 % Starting pre_casc_3 with 300s (1) cores
% 1.58/0.51 % Starting ho_unfolding_8 with 300s (1) cores
% 1.58/0.51 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.58/0.51 % Starting new_bool_3 with 300s (1) cores
% 1.58/0.51 % Starting new_ho_5 with 300s (1) cores
% 1.58/0.51 % pre_casc_3 with pid 3570931 completed with status 9
% 1.58/0.51 % new_ho_5 with pid 3570935 completed with status 9
% 1.58/0.51 % new_ho_10_cnf2 with pid 3570933 completed with status 0
% 1.58/0.51 % Result found by new_ho_10_cnf2
% 1.58/0.51 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.58/0.51 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/0.51 % Starting ehoh_best5 with 300s (1) cores
% 1.58/0.51 % Starting almost_fo_3_lam with 300s (1) cores
% 1.58/0.51 % Starting new_bool_5 with 300s (1) cores
% 1.58/0.51 % Starting pre_casc_3 with 300s (1) cores
% 1.58/0.51 % Starting ho_unfolding_8 with 300s (1) cores
% 1.58/0.51 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.58/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.58/0.51 % No SInE strategy applied
% 1.58/0.51 % Search class: HGHSM-FSLM31-MHFMMSBN
% 1.58/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.58/0.51 % Starting SubtermCWHack with 31s (1) cores
% 1.58/0.51 % SubtermCWHack with pid 3570944 completed with status 0
% 1.58/0.51 % Result found by SubtermCWHack
% 1.58/0.51 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.58/0.51 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.58/0.51 % Starting ehoh_best5 with 300s (1) cores
% 1.58/0.51 % Starting almost_fo_3_lam with 300s (1) cores
% 1.58/0.51 % Starting new_bool_5 with 300s (1) cores
% 1.58/0.51 % Starting pre_casc_3 with 300s (1) cores
% 1.58/0.51 % Starting ho_unfolding_8 with 300s (1) cores
% 1.58/0.51 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.58/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.58/0.51 % No SInE strategy applied
% 1.58/0.51 % Search class: HGHSM-FSLM31-MHFMMSBN
% 1.58/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.58/0.51 % Starting SubtermCWHack with 31s (1) cores
% 1.58/0.51 % Preprocessing time : 0.003 s
% 1.58/0.51
% 1.58/0.51 % Proof found!
% 1.58/0.51 % SZS status Theorem
% 1.58/0.51 % SZS output start CNFRefutation
% 1.58/0.51 thf(decl_23, type, in: $i > $i > $o).
% 1.58/0.51 thf(decl_24, type, exu: ($i > $o) > $o).
% 1.58/0.51 thf(decl_25, type, setextAx: $o).
% 1.58/0.51 thf(decl_26, type, emptyset: $i).
% 1.58/0.51 thf(decl_27, type, emptysetAx: $o).
% 1.58/0.51 thf(decl_28, type, setadjoin: $i > $i > $i).
% 1.58/0.51 thf(decl_29, type, setadjoinAx: $o).
% 1.58/0.51 thf(decl_30, type, powerset: $i > $i).
% 1.58/0.51 thf(decl_31, type, powersetAx: $o).
% 1.58/0.51 thf(decl_32, type, setunion: $i > $i).
% 1.58/0.51 thf(decl_33, type, setunionAx: $o).
% 1.58/0.51 thf(decl_34, type, omega: $i).
% 1.58/0.51 thf(decl_35, type, omega0Ax: $o).
% 1.58/0.51 thf(decl_36, type, omegaSAx: $o).
% 1.58/0.51 thf(decl_37, type, omegaIndAx: $o).
% 1.58/0.51 thf(decl_38, type, replAx: $o).
% 1.58/0.51 thf(decl_39, type, foundationAx: $o).
% 1.58/0.51 thf(decl_40, type, wellorderingAx: $o).
% 1.58/0.51 thf(decl_41, type, descr: ($i > $o) > $i).
% 1.58/0.51 thf(decl_42, type, descrp: $o).
% 1.58/0.51 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 1.58/0.51 thf(decl_44, type, dsetconstrI: $o).
% 1.58/0.51 thf(decl_45, type, dsetconstrEL: $o).
% 1.58/0.51 thf(decl_46, type, dsetconstrER: $o).
% 1.58/0.51 thf(decl_47, type, exuE1: $o).
% 1.58/0.51 thf(decl_48, type, prop2set: $o > $i).
% 1.58/0.51 thf(decl_49, type, prop2setE: $o).
% 1.58/0.51 thf(decl_50, type, emptysetE: $o).
% 1.58/0.51 thf(decl_51, type, emptysetimpfalse: $o).
% 1.58/0.51 thf(decl_52, type, notinemptyset: $o).
% 1.58/0.51 thf(decl_53, type, exuE3e: $o).
% 1.58/0.51 thf(decl_54, type, setext: $o).
% 1.58/0.51 thf(decl_55, type, emptyI: $o).
% 1.58/0.51 thf(decl_56, type, noeltsimpempty: $o).
% 1.58/0.51 thf(decl_57, type, setbeta: $o).
% 1.58/0.51 thf(decl_58, type, nonempty: $i > $o).
% 1.58/0.51 thf(decl_59, type, nonemptyE1: $o).
% 1.58/0.51 thf(decl_60, type, nonemptyI: $o).
% 1.58/0.51 thf(decl_61, type, nonemptyI1: $o).
% 1.58/0.51 thf(decl_62, type, setadjoinIL: $o).
% 1.58/0.51 thf(decl_63, type, emptyinunitempty: $o).
% 1.58/0.51 thf(decl_64, type, setadjoinIR: $o).
% 1.58/0.51 thf(decl_65, type, setadjoinE: $o).
% 1.58/0.51 thf(decl_66, type, setadjoinOr: $o).
% 1.58/0.51 thf(decl_67, type, setoftrueEq: $o).
% 1.58/0.51 thf(decl_68, type, powersetI: $o).
% 1.58/0.51 thf(decl_69, type, emptyinPowerset: $o).
% 1.58/0.51 thf(decl_70, type, emptyInPowerset: $o).
% 1.58/0.51 thf(decl_71, type, powersetE: $o).
% 1.58/0.51 thf(decl_72, type, setunionI: $o).
% 1.58/0.51 thf(decl_73, type, setunionE: $o).
% 1.58/0.51 thf(decl_74, type, subPowSU: $o).
% 1.58/0.51 thf(decl_75, type, exuE2: $o).
% 1.58/0.51 thf(decl_76, type, nonemptyImpWitness: $o).
% 1.58/0.51 thf(decl_77, type, uniqinunit: $o).
% 1.58/0.51 thf(decl_78, type, notinsingleton: $o).
% 1.58/0.51 thf(decl_79, type, eqinunit: $o).
% 1.58/0.51 thf(decl_80, type, singletonsswitch: $o).
% 1.58/0.51 thf(decl_81, type, upairsetE: $o).
% 1.58/0.51 thf(decl_82, type, upairsetIL: $o).
% 1.58/0.51 thf(decl_83, type, upairsetIR: $o).
% 1.58/0.51 thf(decl_84, type, emptyE1: $o).
% 1.58/0.51 thf(decl_85, type, vacuousDall: $o).
% 1.58/0.51 thf(decl_86, type, quantDeMorgan1: $o).
% 1.58/0.51 thf(decl_87, type, quantDeMorgan2: $o).
% 1.58/0.51 thf(decl_88, type, quantDeMorgan3: $o).
% 1.58/0.51 thf(decl_89, type, quantDeMorgan4: $o).
% 1.58/0.51 thf(decl_90, type, prop2setI: $o).
% 1.58/0.51 thf(decl_91, type, set2prop: $i > $o).
% 1.58/0.51 thf(decl_92, type, prop2set2propI: $o).
% 1.58/0.51 thf(decl_93, type, notdexE: $o).
% 1.58/0.51 thf(decl_94, type, notdallE: $o).
% 1.58/0.51 thf(decl_95, type, exuI1: $o).
% 1.58/0.51 thf(decl_96, type, exuI3: $o).
% 1.58/0.51 thf(decl_97, type, exuI2: $o).
% 1.58/0.51 thf(decl_98, type, inCongP: $o).
% 1.58/0.51 thf(decl_99, type, in__Cong: $o).
% 1.58/0.51 thf(decl_100, type, exuE3u: $o).
% 1.58/0.51 thf(decl_101, type, exu__Cong: $o).
% 1.58/0.51 thf(decl_102, type, emptyset__Cong: $o).
% 1.58/0.51 thf(decl_103, type, setadjoin__Cong: $o).
% 1.58/0.51 thf(decl_104, type, powerset__Cong: $o).
% 1.58/0.51 thf(decl_105, type, setunion__Cong: $o).
% 1.58/0.51 thf(decl_106, type, omega__Cong: $o).
% 1.58/0.51 thf(decl_107, type, exuEu: $o).
% 1.58/0.51 thf(decl_108, type, descr__Cong: $o).
% 1.58/0.51 thf(decl_109, type, dsetconstr__Cong: $o).
% 1.58/0.51 thf(decl_110, type, subset: $i > $i > $o).
% 1.58/0.51 thf(decl_113, type, subsetI1: $o).
% 1.58/0.51 thf(decl_114, type, eqimpsubset2: $o).
% 1.58/0.51 thf(decl_115, type, eqimpsubset1: $o).
% 1.58/0.51 thf(decl_116, type, subsetI2: $o).
% 1.58/0.51 thf(decl_117, type, emptysetsubset: $o).
% 1.58/0.51 thf(decl_118, type, subsetE: $o).
% 1.58/0.51 thf(decl_119, type, subsetE2: $o).
% 1.58/0.51 thf(decl_120, type, notsubsetI: $o).
% 1.58/0.51 thf(decl_121, type, notequalI1: $o).
% 1.58/0.51 thf(decl_122, type, notequalI2: $o).
% 1.58/0.51 thf(decl_123, type, subsetRefl: $o).
% 1.58/0.51 thf(decl_124, type, subsetTrans: $o).
% 1.58/0.51 thf(decl_125, type, setadjoinSub: $o).
% 1.58/0.51 thf(decl_126, type, setadjoinSub2: $o).
% 1.58/0.51 thf(decl_127, type, subset2powerset: $o).
% 1.58/0.51 thf(decl_128, type, setextsub: $o).
% 1.58/0.51 thf(decl_129, type, subsetemptysetimpeq: $o).
% 1.58/0.51 thf(decl_130, type, powersetI1: $o).
% 1.58/0.51 thf(decl_131, type, powersetE1: $o).
% 1.58/0.51 thf(decl_132, type, inPowerset: $o).
% 1.58/0.51 thf(decl_133, type, powersetsubset: $o).
% 1.58/0.51 thf(decl_134, type, sepInPowerset: $o).
% 1.58/0.51 thf(decl_135, type, sepSubset: $o).
% 1.58/0.51 thf(decl_136, type, binunion: $i > $i > $i).
% 1.58/0.51 thf(decl_137, type, binunionIL: $o).
% 1.58/0.51 thf(decl_138, type, upairset2IR: $o).
% 1.58/0.51 thf(decl_139, type, binunionIR: $o).
% 1.58/0.51 thf(decl_140, type, binunionEcases: $o).
% 1.58/0.51 thf(decl_141, type, binunionE: $o).
% 1.58/0.51 thf(decl_142, type, binunionLsub: $o).
% 1.58/0.51 thf(decl_143, type, binunionRsub: $o).
% 1.58/0.51 thf(decl_144, type, binintersect: $i > $i > $i).
% 1.58/0.51 thf(decl_145, type, binintersectI: $o).
% 1.58/0.51 thf(decl_146, type, binintersectSubset5: $o).
% 1.58/0.51 thf(decl_147, type, binintersectEL: $o).
% 1.58/0.51 thf(decl_148, type, binintersectLsub: $o).
% 1.58/0.51 thf(decl_149, type, binintersectSubset2: $o).
% 1.58/0.51 thf(decl_150, type, binintersectSubset3: $o).
% 1.58/0.51 thf(decl_151, type, binintersectER: $o).
% 1.58/0.51 thf(decl_152, type, disjointsetsI1: $o).
% 1.58/0.51 thf(decl_153, type, binintersectRsub: $o).
% 1.58/0.51 thf(decl_154, type, binintersectSubset4: $o).
% 1.58/0.51 thf(decl_155, type, binintersectSubset1: $o).
% 1.58/0.51 thf(decl_156, type, bs114d: $o).
% 1.58/0.51 thf(decl_158, type, setminus: $i > $i > $i).
% 1.58/0.51 thf(decl_159, type, setminusI: $o).
% 1.58/0.51 thf(decl_160, type, setminusEL: $o).
% 1.58/0.51 thf(decl_161, type, setminusER: $o).
% 1.58/0.51 thf(decl_162, type, setminusSubset2: $o).
% 1.58/0.51 thf(decl_163, type, setminusERneg: $o).
% 1.58/0.51 thf(decl_164, type, setminusELneg: $o).
% 1.58/0.51 thf(decl_165, type, setminusILneg: $o).
% 1.58/0.51 thf(decl_166, type, setminusIRneg: $o).
% 1.58/0.51 thf(decl_167, type, setminusLsub: $o).
% 1.58/0.51 thf(decl_168, type, setminusSubset1: $o).
% 1.58/0.51 thf(decl_169, type, symdiff: $i > $i > $i).
% 1.58/0.51 thf(decl_170, type, symdiffE: $o).
% 1.58/0.51 thf(decl_171, type, symdiffI1: $o).
% 1.58/0.51 thf(decl_172, type, symdiffI2: $o).
% 1.58/0.51 thf(decl_173, type, symdiffIneg1: $o).
% 1.58/0.51 thf(decl_174, type, symdiffIneg2: $o).
% 1.58/0.51 thf(decl_175, type, iskpair: $i > $o).
% 1.58/0.51 thf(decl_176, type, secondinupair: $o).
% 1.58/0.51 thf(decl_177, type, setukpairIL: $o).
% 1.58/0.51 thf(decl_178, type, setukpairIR: $o).
% 1.58/0.51 thf(decl_179, type, kpairiskpair: $o).
% 1.58/0.51 thf(decl_180, type, kpair: $i > $i > $i).
% 1.58/0.51 thf(decl_181, type, kpairp: $o).
% 1.58/0.51 thf(decl_183, type, singletonsubset: $o).
% 1.58/0.51 thf(decl_184, type, singletoninpowerset: $o).
% 1.58/0.51 thf(decl_185, type, singletoninpowunion: $o).
% 1.58/0.51 thf(decl_186, type, upairset2E: $o).
% 1.58/0.51 thf(decl_187, type, upairsubunion: $o).
% 1.58/0.51 thf(decl_188, type, upairinpowunion: $o).
% 1.58/0.51 thf(decl_189, type, ubforcartprodlem1: $o).
% 1.58/0.51 thf(decl_190, type, epred1_0: $o).
% 1.58/0.51 thf(decl_191, type, esk1_2: $i > $i > $i).
% 1.58/0.51 thf(decl_192, type, esk2_2: $i > $i > $i).
% 1.58/0.51 thf(decl_193, type, esk3_2: $i > $i > $i).
% 1.58/0.51 thf(decl_194, type, esk4_1: $i > $i).
% 1.58/0.51 thf(decl_195, type, esk5_2: ($i > $i > $o) > $i > $i).
% 1.58/0.51 thf(decl_196, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 1.58/0.51 thf(decl_197, type, esk7_2: ($i > $i > $o) > $i > $i).
% 1.58/0.51 thf(decl_198, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 1.58/0.51 thf(decl_199, type, esk9_1: $i > $i).
% 1.58/0.51 thf(decl_200, type, esk10_2: ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_201, type, esk11_2: ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_202, type, esk12_1: ($i > $o) > $i).
% 1.58/0.51 thf(decl_203, type, esk13_2: ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_204, type, esk14_1: ($i > $o) > $i).
% 1.58/0.51 thf(decl_205, type, esk15_2: $i > $i > $i).
% 1.58/0.51 thf(decl_206, type, esk16_2: $i > $i > $i).
% 1.58/0.51 thf(decl_207, type, esk17_1: $i > $i).
% 1.58/0.51 thf(decl_208, type, esk18_1: $i > $i).
% 1.58/0.51 thf(decl_209, type, esk19_1: $i > $i).
% 1.58/0.51 thf(decl_210, type, esk20_2: $i > $i > $i).
% 1.58/0.51 thf(decl_211, type, esk21_3: $i > $i > $o > $i).
% 1.58/0.51 thf(decl_212, type, esk22_2: ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_213, type, esk23_1: ($i > $o) > $i).
% 1.58/0.51 thf(decl_214, type, esk24_1: $i > $i).
% 1.58/0.51 thf(decl_215, type, esk25_2: $i > ($i > $o) > $i).
% 1.58/0.51 thf(decl_216, type, esk26_2: $i > ($i > $o) > $i).
% 1.58/0.51 thf(decl_217, type, esk27_2: $i > ($i > $o) > $i).
% 1.58/0.51 thf(decl_218, type, esk28_2: $i > ($i > $o) > $i).
% 1.58/0.51 thf(decl_219, type, esk29_2: $i > ($i > $o) > $i).
% 1.58/0.51 thf(decl_220, type, esk30_2: $i > ($i > $o) > $i).
% 1.58/0.51 thf(decl_221, type, esk31_2: ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_222, type, esk32_1: ($i > $o) > $i).
% 1.58/0.51 thf(decl_223, type, esk33_1: ($i > $o) > $i).
% 1.58/0.51 thf(decl_224, type, esk34_1: ($i > $o) > $i).
% 1.58/0.51 thf(decl_225, type, esk35_1: ($i > $o) > $i).
% 1.58/0.51 thf(decl_226, type, esk36_2: ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_227, type, esk37_1: ($i > $o) > $i).
% 1.58/0.51 thf(decl_228, type, esk38_2: ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_229, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 1.58/0.51 thf(decl_230, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 1.58/0.51 thf(decl_231, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_232, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 1.58/0.51 thf(decl_233, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_234, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 1.58/0.51 thf(decl_235, type, esk45_2: ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_236, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 1.58/0.51 thf(decl_237, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 1.58/0.51 thf(decl_238, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_239, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.58/0.51 thf(decl_240, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.58/0.51 thf(decl_241, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.58/0.51 thf(decl_242, type, esk52_2: $i > $i > $i).
% 1.58/0.51 thf(decl_243, type, esk53_2: $i > $i > $i).
% 1.58/0.51 thf(decl_244, type, esk54_2: $i > $i > $i).
% 1.58/0.51 thf(decl_245, type, esk55_2: $i > $i > $i).
% 1.58/0.51 thf(decl_246, type, esk56_2: $i > $i > $i).
% 1.58/0.51 thf(decl_247, type, esk57_2: $i > $i > $i).
% 1.58/0.51 thf(decl_248, type, esk58_2: $i > $i > $i).
% 1.58/0.51 thf(decl_249, type, esk59_0: $i).
% 1.58/0.51 thf(decl_250, type, esk60_0: $i).
% 1.58/0.51 thf(decl_251, type, esk61_0: $i).
% 1.58/0.51 thf(decl_252, type, esk62_0: $i).
% 1.58/0.51 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', replAx)).
% 1.58/0.51 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', exu)).
% 1.58/0.51 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', descrp)).
% 1.58/0.51 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', exuE1)).
% 1.58/0.51 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', exuE3e)).
% 1.58/0.51 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', nonempty)).
% 1.58/0.51 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', nonemptyI)).
% 1.58/0.51 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', exuE2)).
% 1.58/0.51 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.t6vgCjndpW/E---3.1_3570889.p', exuI1)).
% 1.58/0.51 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', exuI3)).
% 1.58/0.51 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', exuI2)).
% 1.58/0.51 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.t6vgCjndpW/E---3.1_3570889.p', exuE3u)).
% 1.58/0.51 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', exu__Cong)).
% 1.58/0.51 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', exuEu)).
% 1.58/0.51 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', descr__Cong)).
% 1.58/0.51 thf(iskpair, axiom, ((iskpair)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ X4)))&(?[X3:$i]:((((in @ X3 @ (setunion @ X4)))&(((X4)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', iskpair)).
% 1.58/0.51 thf(ubforcartprodlem2, 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)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', ubforcartprodlem2)).
% 1.58/0.51 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', dsetconstrI)).
% 1.58/0.51 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', dsetconstrEL)).
% 1.58/0.51 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', dsetconstrER)).
% 1.58/0.51 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setbeta)).
% 1.58/0.51 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', nonemptyE1)).
% 1.58/0.51 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', nonemptyI1)).
% 1.58/0.51 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setoftrueEq)).
% 1.58/0.51 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', nonemptyImpWitness)).
% 1.58/0.51 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.t6vgCjndpW/E---3.1_3570889.p', emptyE1)).
% 1.58/0.51 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', dsetconstr__Cong)).
% 1.58/0.51 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', sepInPowerset)).
% 1.58/0.51 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', sepSubset)).
% 1.58/0.51 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.t6vgCjndpW/E---3.1_3570889.p', kpairiskpair)).
% 1.58/0.51 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', kpairp)).
% 1.58/0.51 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setextAx)).
% 1.58/0.51 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', emptysetAx)).
% 1.58/0.51 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setadjoinAx)).
% 1.58/0.51 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', powersetAx)).
% 1.58/0.51 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setunionAx)).
% 1.58/0.51 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', omega0Ax)).
% 1.58/0.51 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', omegaSAx)).
% 1.58/0.51 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', omegaIndAx)).
% 1.58/0.51 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', foundationAx)).
% 1.58/0.51 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.t6vgCjndpW/E---3.1_3570889.p', wellorderingAx)).
% 1.58/0.51 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', prop2setE)).
% 1.58/0.51 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', emptysetE)).
% 1.58/0.51 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', emptysetimpfalse)).
% 1.58/0.51 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', notinemptyset)).
% 1.58/0.51 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setext)).
% 1.58/0.51 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', emptyI)).
% 1.58/0.51 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', noeltsimpempty)).
% 1.58/0.51 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setadjoinIL)).
% 1.58/0.51 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', emptyinunitempty)).
% 1.58/0.51 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setadjoinIR)).
% 1.58/0.51 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.t6vgCjndpW/E---3.1_3570889.p', setadjoinE)).
% 1.58/0.51 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setadjoinOr)).
% 1.58/0.51 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', powersetI)).
% 1.58/0.51 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', emptyinPowerset)).
% 1.58/0.51 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', emptyInPowerset)).
% 1.58/0.51 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', powersetE)).
% 1.58/0.51 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setunionI)).
% 1.58/0.51 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.t6vgCjndpW/E---3.1_3570889.p', setunionE)).
% 1.58/0.51 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', subPowSU)).
% 1.58/0.51 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', uniqinunit)).
% 1.58/0.51 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', notinsingleton)).
% 1.58/0.51 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', eqinunit)).
% 1.58/0.51 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', singletonsswitch)).
% 1.58/0.51 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', upairsetE)).
% 1.58/0.51 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', upairsetIL)).
% 1.58/0.51 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', upairsetIR)).
% 1.58/0.51 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', vacuousDall)).
% 1.58/0.51 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', quantDeMorgan1)).
% 1.58/0.51 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', quantDeMorgan2)).
% 1.58/0.51 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', quantDeMorgan3)).
% 1.58/0.51 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', quantDeMorgan4)).
% 1.58/0.51 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', prop2setI)).
% 1.58/0.51 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', prop2set2propI)).
% 1.58/0.51 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', notdexE)).
% 1.58/0.51 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', notdallE)).
% 1.58/0.51 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', inCongP)).
% 1.58/0.51 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', in__Cong)).
% 1.58/0.51 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', emptyset__Cong)).
% 1.58/0.51 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setadjoin__Cong)).
% 1.58/0.51 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', powerset__Cong)).
% 1.58/0.51 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setunion__Cong)).
% 1.58/0.51 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', omega__Cong)).
% 1.58/0.51 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', subsetI1)).
% 1.58/0.51 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', eqimpsubset2)).
% 1.58/0.51 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', eqimpsubset1)).
% 1.58/0.51 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', subsetI2)).
% 1.58/0.51 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', emptysetsubset)).
% 1.58/0.51 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', subsetE)).
% 1.58/0.51 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', subsetE2)).
% 1.58/0.51 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', notsubsetI)).
% 1.58/0.51 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', notequalI1)).
% 1.58/0.51 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', notequalI2)).
% 1.58/0.51 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', subsetRefl)).
% 1.58/0.51 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', subsetTrans)).
% 1.58/0.51 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setadjoinSub)).
% 1.58/0.51 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setadjoinSub2)).
% 1.58/0.51 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', subset2powerset)).
% 1.58/0.51 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setextsub)).
% 1.58/0.51 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', subsetemptysetimpeq)).
% 1.58/0.51 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', powersetI1)).
% 1.58/0.51 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', powersetE1)).
% 1.58/0.51 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', inPowerset)).
% 1.58/0.51 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', powersetsubset)).
% 1.58/0.51 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binunionIL)).
% 1.58/0.51 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', upairset2IR)).
% 1.58/0.51 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binunionIR)).
% 1.58/0.51 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binunionEcases)).
% 1.58/0.51 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binunionE)).
% 1.58/0.51 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binunionLsub)).
% 1.58/0.51 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binunionRsub)).
% 1.58/0.51 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binintersectI)).
% 1.58/0.51 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binintersectSubset5)).
% 1.58/0.51 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binintersectEL)).
% 1.58/0.51 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binintersectLsub)).
% 1.58/0.51 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binintersectSubset2)).
% 1.58/0.51 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binintersectSubset3)).
% 1.58/0.51 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binintersectER)).
% 1.58/0.51 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', disjointsetsI1)).
% 1.58/0.51 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binintersectRsub)).
% 1.58/0.51 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binintersectSubset4)).
% 1.58/0.51 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', binintersectSubset1)).
% 1.58/0.51 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', bs114d)).
% 1.58/0.51 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setminusI)).
% 1.58/0.51 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setminusEL)).
% 1.58/0.51 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setminusER)).
% 1.58/0.51 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setminusSubset2)).
% 1.58/0.51 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setminusERneg)).
% 1.58/0.51 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setminusELneg)).
% 1.58/0.51 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setminusILneg)).
% 1.58/0.51 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setminusIRneg)).
% 1.58/0.51 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setminusLsub)).
% 1.58/0.51 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setminusSubset1)).
% 1.58/0.51 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', symdiffE)).
% 1.58/0.51 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', symdiffI1)).
% 1.58/0.51 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', symdiffI2)).
% 1.58/0.51 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', symdiffIneg1)).
% 1.58/0.51 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', symdiffIneg2)).
% 1.58/0.51 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', secondinupair)).
% 1.58/0.51 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setukpairIL)).
% 1.58/0.51 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', setukpairIR)).
% 1.58/0.51 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', singletonsubset)).
% 1.58/0.51 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', singletoninpowerset)).
% 1.58/0.51 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', singletoninpowunion)).
% 1.58/0.51 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', upairset2E)).
% 1.58/0.51 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', upairsubunion)).
% 1.58/0.51 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', upairinpowunion)).
% 1.58/0.51 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', ubforcartprodlem1)).
% 1.58/0.51 thf(kpair, axiom, ((kpair)=(^[X2:$i, X3:$i]:(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.t6vgCjndpW/E---3.1_3570889.p', kpair)).
% 1.58/0.51 thf(c_0_149, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 1.58/0.51 thf(c_0_150, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 1.58/0.51 thf(c_0_151, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 1.58/0.51 thf(c_0_152, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 1.58/0.51 thf(c_0_153, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 1.58/0.51 thf(c_0_154, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 1.58/0.51 thf(c_0_155, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 1.58/0.51 thf(c_0_156, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 1.58/0.51 thf(c_0_157, 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])).
% 1.58/0.51 thf(c_0_158, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 1.58/0.51 thf(c_0_159, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 1.58/0.51 thf(c_0_160, 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])).
% 1.58/0.51 thf(c_0_161, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 1.58/0.51 thf(c_0_162, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 1.58/0.51 thf(c_0_163, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 1.58/0.51 thf(c_0_164, plain, ((iskpair)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ Z0)))&(?[X3:$i]:((((in @ X3 @ (setunion @ Z0)))&(((Z0)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), inference(fof_simplification,[status(thm)],[iskpair])).
% 1.58/0.51 thf(c_0_165, 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)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[ubforcartprodlem2])).
% 1.58/0.51 thf(c_0_166, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X411:$i]:(((((X6 @ X2 @ X411)))&(![X412:$i]:(((((X6 @ X2 @ X412)))=>(((X411)=(X412)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_149, c_0_150])).
% 1.58/0.51 thf(c_0_167, plain, ((descrp)=(![X1:$i > $o]:((((?[X413:$i]:(((((X1 @ X413)))&(![X414:$i]:(((((X1 @ X414)))=>(((X413)=(X414))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_151, c_0_150])).
% 1.58/0.51 thf(c_0_168, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 1.58/0.51 thf(c_0_169, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 1.58/0.51 thf(c_0_170, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 1.58/0.51 thf(c_0_171, plain, ((exuE1)=(![X1:$i > $o]:((((?[X415:$i]:(((((X1 @ X415)))&(![X416:$i]:(((((X1 @ X416)))=>(((X415)=(X416))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_152, c_0_150])).
% 1.58/0.51 thf(c_0_172, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X417:$i]:(((((X1 @ X417)))&(![X418:$i]:(((((X1 @ X418)))=>(((X417)=(X418))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_153, c_0_150])).
% 1.58/0.51 thf(c_0_173, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 1.58/0.51 thf(c_0_174, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_154])).
% 1.58/0.51 thf(c_0_175, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_155, c_0_154])).
% 1.58/0.51 thf(c_0_176, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_154])).
% 1.58/0.51 thf(c_0_177, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 1.58/0.51 thf(c_0_178, plain, ((exuE2)=(![X1:$i > $o]:((((?[X419:$i]:(((((X1 @ X419)))&(![X420:$i]:(((((X1 @ X420)))=>(((X419)=(X420))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_156, c_0_150])).
% 1.58/0.51 thf(c_0_179, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_154])).
% 1.58/0.51 thf(c_0_180, 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])).
% 1.58/0.51 thf(c_0_181, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X421:$i]:(((((X1 @ X421)))&(![X422:$i]:(((((X1 @ X422)))=>(((X421)=(X422)))))))))))))), inference(apply_def,[status(thm)],[c_0_157, c_0_150])).
% 1.58/0.51 thf(c_0_182, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X423:$i]:(((((X1 @ X423)))&(![X424:$i]:(((((X1 @ X424)))=>(((X423)=(X424)))))))))))))))), inference(apply_def,[status(thm)],[c_0_158, c_0_150])).
% 1.58/0.51 thf(c_0_183, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X425:$i]:(((((X1 @ X425)))&(![X426:$i]:(((((X1 @ X426)))=>(((X425)=(X426)))))))))))))), inference(apply_def,[status(thm)],[c_0_159, c_0_150])).
% 1.58/0.51 thf(c_0_184, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X427:$i]:(((((X1 @ X427)))&(![X428:$i]:(((((X1 @ X428)))=>(((X427)=(X428))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_160, c_0_150])).
% 1.58/0.51 thf(c_0_185, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X429:$i]:(((((X1 @ X429)))&(![X430:$i]:(((((X1 @ X430)))=>(((X429)=(X430))))))))))<=>((?[X431:$i]:(((((X17 @ X431)))&(![X432:$i]:(((((X17 @ X432)))=>(((X431)=(X432)))))))))))))))), inference(apply_def,[status(thm)],[c_0_161, c_0_150])).
% 1.58/0.51 thf(c_0_186, plain, ((exuEu)=(![X1:$i > $o]:((((?[X433:$i]:(((((X1 @ X433)))&(![X434:$i]:(((((X1 @ X434)))=>(((X433)=(X434))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_162, c_0_150])).
% 1.58/0.51 thf(c_0_187, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X435:$i]:(((((X1 @ X435)))&(![X436:$i]:(((((X1 @ X436)))=>(((X435)=(X436))))))))))=>((((?[X437:$i]:(((((X17 @ X437)))&(![X438:$i]:(((((X17 @ X438)))=>(((X437)=(X438))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_163, c_0_150])).
% 1.58/0.51 thf(c_0_188, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 1.58/0.51 thf(c_0_189, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 1.58/0.51 thf(c_0_190, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 1.58/0.51 thf(c_0_191, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X439:$i]:((((in @ X439 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(?[X440:$i]:((((in @ X440 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X439 @ emptyset) @ (setadjoin @ (setadjoin @ X439 @ (setadjoin @ X440 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_164])).
% 1.58/0.51 thf(c_0_192, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X441:$i]:((((in @ X441 @ (setunion @ (kpair @ X2 @ X3))))&(?[X442:$i]:((((in @ X442 @ (setunion @ (kpair @ X2 @ X3))))&(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X441 @ emptyset) @ (setadjoin @ (setadjoin @ X441 @ (setadjoin @ X442 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairp, c_0_164])).
% 1.58/0.51 thf(c_0_193, plain, ((epred1_0)<=>![X472:$i]:(?[X473:$i]:((((![X474:$i]:(((in @ X474 @ X473)=>![X475:$i]:(((in @ X475 @ X474)=>(in @ X475 @ X472)))))&![X476:$i, X477:$i]:((((in @ X476 @ X472)&(in @ X477 @ X472))=>(![X478:$i]:(((in @ X478 @ X473)=>((in @ X476 @ X478)<=>(in @ X477 @ X478))))=>((X476)=(X477))))))&![X479:$i, X480:$i]:((((in @ X479 @ X473)&(in @ X480 @ X473))=>(![X481:$i]:(((in @ X481 @ X479)=>(in @ X481 @ X480)))|![X482:$i]:(((in @ X482 @ X480)=>(in @ X482 @ X479)))))))&![X483:$i]:(((![X484:$i]:(((in @ X484 @ X483)=>(in @ X484 @ X472)))&?[X485:$i]:((in @ X485 @ X483)))=>?[X486:$i, X487:$i]:(((((in @ X486 @ X473)&(in @ X487 @ X483))&~(?[X488:$i]:(((in @ X488 @ X486)&(in @ X488 @ X483)))))&![X489:$i]:(((in @ X489 @ X473)=>(![X490:$i]:(((in @ X490 @ X489)=>(in @ X490 @ X486)))|(in @ X487 @ X489)))))))))))), introduced(definition)).
% 1.58/0.51 thf(c_0_194, negated_conjecture, ~((![X443:$i, X444:$i]:((![X445:$i]:(((in @ X445 @ X443)<=>(in @ X445 @ X444)))=>((X443)=(X444))))=>(![X446:$i]:(~(in @ X446 @ emptyset))=>(![X447:$i, X448:$i, X449:$i]:(((in @ X449 @ (setadjoin @ X447 @ X448))<=>(((X449)=(X447))|(in @ X449 @ X448))))=>(![X450:$i, X451:$i]:(((in @ X451 @ (powerset @ X450))<=>![X452:$i]:(((in @ X452 @ X451)=>(in @ X452 @ X450)))))=>(![X453:$i, X454:$i]:(((in @ X454 @ (setunion @ X453))<=>?[X455:$i]:(((in @ X454 @ X455)&(in @ X455 @ X453)))))=>((in @ emptyset @ omega)=>(![X456:$i]:(((in @ X456 @ omega)=>(in @ (setadjoin @ X456 @ X456) @ omega)))=>(![X457:$i]:((((in @ emptyset @ X457)&![X458:$i]:((((in @ X458 @ omega)&(in @ X458 @ X457))=>(in @ (setadjoin @ X458 @ X458) @ X457))))=>![X459:$i]:(((in @ X459 @ omega)=>(in @ X459 @ X457)))))=>(![X460:$i > $i > $o, X461:$i]:((![X462:$i]:(((in @ X462 @ X461)=>?[X463:$i]:(((X460 @ X462 @ X463)&![X464:$i]:(((X460 @ X462 @ X464)=>((X463)=(X464))))))))=>?[X465:$i]:(![X466:$i]:(((in @ X466 @ X465)<=>?[X467:$i]:(((in @ X467 @ X461)&(X460 @ X467 @ X466))))))))=>(![X468:$i]:((?[X469:$i]:((in @ X469 @ X468))=>?[X470:$i]:(((in @ X470 @ X468)&~(?[X471:$i]:(((in @ X471 @ X470)&(in @ X471 @ X468))))))))=>((epred1_0)=>(![X491:$i > $o]:((?[X492:$i]:(((X491 @ X492)&![X493:$i]:(((X491 @ X493)=>((X492)=(X493))))))=>(X491 @ (descr @ (^[Z0:$i]:(X491 @ Z0))))))=>(![X494:$i, X495:$i > $o, X496:$i]:(((in @ X496 @ X494)=>((X495 @ X496)=>(in @ X496 @ (dsetconstr @ X494 @ X495)))))=>(![X497:$i, X498:$i > $o, X499:$i]:(((in @ X499 @ (dsetconstr @ X497 @ X498))=>(in @ X499 @ X497)))=>(![X500:$i, X501:$i > $o, X502:$i]:(((in @ X502 @ (dsetconstr @ X500 @ X501))=>(X501 @ X502)))=>(![X503:$i > $o]:((?[X504:$i]:(((X503 @ X504)&![X505:$i]:(((X503 @ X505)=>((X504)=(X505))))))=>?[X506:$i]:(((X503 @ X506)&![X507:$i]:(((X503 @ X507)=>((X506)=(X507))))))))=>(![X508:$o, X509:$i]:(((in @ X509 @ (prop2set @ ((X508))))=>(X508)))=>(![X510:$i]:(((in @ X510 @ emptyset)=>![X511:$o]:((X511))))=>(![X512:$i]:(((in @ X512 @ emptyset)=>~($true)))=>(![X513:$i]:(~(in @ X513 @ emptyset))=>(![X514:$i > $o]:((?[X515:$i]:(((X514 @ X515)&![X516:$i]:(((X514 @ X516)=>((X515)=(X516))))))=>?[X517:$i]:((X514 @ X517))))=>(![X518:$i, X519:$i]:((![X520:$i]:(((in @ X520 @ X518)=>(in @ X520 @ X519)))=>(![X521:$i]:(((in @ X521 @ X519)=>(in @ X521 @ X518)))=>((X518)=(X519)))))=>(![X522:$i]:((![X523:$i]:(~(in @ X523 @ X522))=>((X522)=(emptyset))))=>(![X524:$i]:((![X525:$i]:(~(in @ X525 @ X524))=>((X524)=(emptyset))))=>(![X526:$i, X527:$i > $o, X528:$i]:(((in @ X528 @ X526)=>((in @ X528 @ (dsetconstr @ X526 @ X527))<=>(X527 @ X528))))=>(![X529:$i]:((((X529)!=(emptyset))=>?[X530:$i]:((in @ X530 @ X529))))=>(![X531:$i, X532:$i > $o, X533:$i]:(((in @ X533 @ X531)=>((X532 @ X533)=>((dsetconstr @ X531 @ X532)!=(emptyset)))))=>(![X534:$i]:((?[X535:$i]:((in @ X535 @ X534))=>((X534)!=(emptyset))))=>(![X536:$i, X537:$i]:((in @ X536 @ (setadjoin @ X536 @ X537)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X538:$i, X539:$i, X540:$i]:(((in @ X540 @ X539)=>(in @ X540 @ (setadjoin @ X538 @ X539))))=>(![X541:$i, X542:$i, X543:$i]:(((in @ X543 @ (setadjoin @ X541 @ X542))=>![X544:$o]:(((((X543)=(X541))=>(X544))=>(((in @ X543 @ X542)=>(X544))=>(X544))))))=>(![X545:$i, X546:$i, X547:$i]:(((in @ X547 @ (setadjoin @ X545 @ X546))=>(((X547)=(X545))|(in @ X547 @ X546))))=>(![X548:$i]:(((dsetconstr @ X548 @ (^[Z0:$i]:($true)))=(X548)))=>(![X549:$i, X550:$i]:((![X551:$i]:(((in @ X551 @ X550)=>(in @ X551 @ X549)))=>(in @ X550 @ (powerset @ X549))))=>(![X552:$i]:((in @ emptyset @ (powerset @ X552)))=>(![X553:$i]:((in @ emptyset @ (powerset @ X553)))=>(![X554:$i, X555:$i, X556:$i]:(((in @ X555 @ (powerset @ X554))=>((in @ X556 @ X555)=>(in @ X556 @ X554))))=>(![X557:$i, X558:$i, X559:$i]:(((in @ X558 @ X559)=>((in @ X559 @ X557)=>(in @ X558 @ (setunion @ X557)))))=>(![X560:$i, X561:$i]:(((in @ X561 @ (setunion @ X560))=>![X562:$o]:((![X563:$i]:(((in @ X561 @ X563)=>((in @ X563 @ X560)=>(X562))))=>(X562)))))=>(![X564:$i, X565:$i]:(((in @ X565 @ X564)=>(in @ X565 @ (powerset @ (setunion @ X564)))))=>(![X566:$i > $o]:((?[X567:$i]:(((X566 @ X567)&![X568:$i]:(((X566 @ X568)=>((X567)=(X568))))))=>?[X569:$i]:(![X570:$i]:(((X566 @ X570)<=>((X570)=(X569)))))))=>(![X571:$i]:((((X571)!=(emptyset))=>?[X572:$i]:(((in @ X572 @ X571)&$true))))=>(![X573:$i, X574:$i]:(((in @ X573 @ (setadjoin @ X574 @ emptyset))=>((X573)=(X574))))=>(![X575:$i, X576:$i]:((((X575)!=(X576))=>~(in @ X576 @ (setadjoin @ X575 @ emptyset))))=>(![X577:$i, X578:$i]:((((X577)=(X578))=>(in @ X577 @ (setadjoin @ X578 @ emptyset))))=>(![X579:$i, X580:$i]:(((in @ X579 @ (setadjoin @ X580 @ emptyset))=>(in @ X580 @ (setadjoin @ X579 @ emptyset))))=>(![X581:$i, X582:$i, X583:$i]:(((in @ X583 @ (setadjoin @ X581 @ (setadjoin @ X582 @ emptyset)))=>(((X583)=(X581))|((X583)=(X582)))))=>(![X584:$i, X585:$i]:((in @ X584 @ (setadjoin @ X584 @ (setadjoin @ X585 @ emptyset))))=>(![X586:$i, X587:$i]:((in @ X587 @ (setadjoin @ X586 @ (setadjoin @ X587 @ emptyset))))=>(![X588:$i, X589:$i > $o]:((?[X590:$i]:(((in @ X590 @ X588)&(X589 @ X590)))=>(((dsetconstr @ X588 @ X589)=(emptyset))=>~($true))))=>(![X591:$i > $o, X592:$i]:(((in @ X592 @ emptyset)=>(X591 @ X592)))=>(![X593:$i, X594:$i > $o]:((~(![X595:$i]:(((in @ X595 @ X593)=>(X594 @ X595))))=>?[X596:$i]:(((in @ X596 @ X593)&~((X594 @ X596))))))=>(![X597:$i, X598:$i > $o]:((![X599:$i]:(((in @ X599 @ X597)=>~((X598 @ X599))))=>~(?[X600:$i]:(((in @ X600 @ X597)&(X598 @ X600))))))=>(![X601:$i, X602:$i > $o]:((~(?[X603:$i]:(((in @ X603 @ X601)&(X602 @ X603))))=>![X604:$i]:(((in @ X604 @ X601)=>~((X602 @ X604))))))=>(![X605:$i, X606:$i > $o]:((?[X607:$i]:(((in @ X607 @ X605)&~((X606 @ X607))))=>~(![X608:$i]:(((in @ X608 @ X605)=>(X606 @ X608))))))=>(![X609:$o]:(((X609)=>(in @ emptyset @ (prop2set @ ((X609))))))=>(![X610:$o]:(((X610)=>(set2prop @ (prop2set @ ((X610))))))=>(![X611:$i, X612:$i > $o]:((~(?[X613:$i]:(((in @ X613 @ X611)&(X612 @ X613))))=>![X614:$i]:(((in @ X614 @ X611)=>~((X612 @ X614))))))=>(![X615:$i, X616:$i > $o]:((~(![X617:$i]:(((in @ X617 @ X615)=>(X616 @ X617))))=>?[X618:$i]:(((in @ X618 @ X615)&~((X616 @ X618))))))=>(![X619:$i > $o]:((?[X620:$i]:(((X619 @ X620)&![X621:$i]:(((X619 @ X621)=>((X620)=(X621))))))=>?[X622:$i]:(((X619 @ X622)&![X623:$i]:(((X619 @ X623)=>((X622)=(X623))))))))=>(![X624:$i > $o]:((?[X625:$i]:((X624 @ X625))=>(![X626:$i, X627:$i]:(((X624 @ X626)=>((X624 @ X627)=>((X626)=(X627)))))=>?[X628:$i]:(((X624 @ X628)&![X629:$i]:(((X624 @ X629)=>((X628)=(X629)))))))))=>(![X630:$i > $o]:((?[X631:$i]:(![X632:$i]:(((X630 @ X632)<=>((X632)=(X631)))))=>?[X633:$i]:(((X630 @ X633)&![X634:$i]:(((X630 @ X634)=>((X633)=(X634))))))))=>(![X635:$i, X636:$i]:((((X635)=(X636))=>![X637:$i, X638:$i]:((((X637)=(X638))=>((in @ X637 @ X635)=>(in @ X638 @ X636))))))=>(![X639:$i, X640:$i]:((((X639)=(X640))=>![X641:$i, X642:$i]:((((X641)=(X642))=>((in @ X641 @ X639)<=>(in @ X642 @ X640))))))=>(![X643:$i > $o]:((?[X644:$i]:(((X643 @ X644)&![X645:$i]:(((X643 @ X645)=>((X644)=(X645))))))=>![X646:$i, X647:$i]:(((X643 @ X646)=>((X643 @ X647)=>((X646)=(X647)))))))=>(![X648:$i > $o, X649:$i > $o]:((![X650:$i, X651:$i]:((((X650)=(X651))=>((X648 @ X650)<=>(X649 @ X651))))=>(?[X652:$i]:(((X648 @ X652)&![X653:$i]:(((X648 @ X653)=>((X652)=(X653))))))<=>?[X654:$i]:(((X649 @ X654)&![X655:$i]:(((X649 @ X655)=>((X654)=(X655)))))))))=>(((emptyset)=(emptyset))=>(![X656:$i, X657:$i]:((((X656)=(X657))=>![X658:$i, X659:$i]:((((X658)=(X659))=>((setadjoin @ X656 @ X658)=(setadjoin @ X657 @ X659))))))=>(![X660:$i, X661:$i]:((((X660)=(X661))=>((powerset @ X660)=(powerset @ X661))))=>(![X662:$i, X663:$i]:((((X662)=(X663))=>((setunion @ X662)=(setunion @ X663))))=>(((omega)=(omega))=>(![X664:$i > $o]:((?[X665:$i]:(((X664 @ X665)&![X666:$i]:(((X664 @ X666)=>((X665)=(X666))))))=>![X667:$i, X668:$i]:(((X664 @ X667)=>((X664 @ X668)=>((X667)=(X668)))))))=>(![X669:$i > $o, X670:$i > $o]:((![X671:$i, X672:$i]:((((X671)=(X672))=>((X669 @ X671)<=>(X670 @ X672))))=>(?[X673:$i]:(((X669 @ X673)&![X674:$i]:(((X669 @ X674)=>((X673)=(X674))))))=>(?[X675:$i]:(((X670 @ X675)&![X676:$i]:(((X670 @ X676)=>((X675)=(X676))))))=>((descr @ X669)=(descr @ X670))))))=>(![X677:$i, X678:$i]:((((X677)=(X678))=>![X679:$i > $o, X680:$i > $o]:((![X681:$i]:(((in @ X681 @ X677)=>![X682:$i]:(((in @ X682 @ X678)=>(((X681)=(X682))=>((X679 @ X681)<=>(X680 @ X682)))))))=>((dsetconstr @ X677 @ X679)=(dsetconstr @ X678 @ X680))))))=>(![X683:$i, X684:$i]:((![X685:$i]:(((in @ X685 @ X683)=>(in @ X685 @ X684)))=>(subset @ X683 @ X684)))=>(![X686:$i, X687:$i]:((((X686)=(X687))=>(subset @ X687 @ X686)))=>(![X688:$i, X689:$i]:((((X688)=(X689))=>(subset @ X688 @ X689)))=>(![X690:$i, X691:$i]:((![X692:$i]:(((in @ X692 @ X690)=>(in @ X692 @ X691)))=>(subset @ X690 @ X691)))=>(![X693:$i]:((subset @ emptyset @ X693))=>(![X694:$i, X695:$i, X696:$i]:(((subset @ X694 @ X695)=>((in @ X696 @ X694)=>(in @ X696 @ X695))))=>(![X697:$i, X698:$i, X699:$i]:(((subset @ X697 @ X698)=>(~(in @ X699 @ X698)=>~(in @ X699 @ X697))))=>(![X700:$i, X701:$i, X702:$i]:(((in @ X702 @ X700)=>(~(in @ X702 @ X701)=>~(subset @ X700 @ X701))))=>(![X703:$i, X704:$i]:((~(subset @ X703 @ X704)=>((X703)!=(X704))))=>(![X705:$i, X706:$i, X707:$i]:(((in @ X707 @ X705)=>(~(in @ X707 @ X706)=>((X705)!=(X706)))))=>(![X708:$i]:((subset @ X708 @ X708))=>(![X709:$i, X710:$i, X711:$i]:(((subset @ X709 @ X710)=>((subset @ X710 @ X711)=>(subset @ X709 @ X711))))=>(![X712:$i, X713:$i]:((subset @ X713 @ (setadjoin @ X712 @ X713)))=>(![X714:$i, X715:$i, X716:$i]:(((subset @ X714 @ X716)=>(subset @ X714 @ (setadjoin @ X715 @ X716))))=>(![X717:$i, X718:$i]:(((subset @ X717 @ X718)=>(in @ X717 @ (powerset @ X718))))=>(![X719:$i, X720:$i]:(((subset @ X719 @ X720)=>((subset @ X720 @ X719)=>((X719)=(X720)))))=>(![X721:$i]:(((subset @ X721 @ emptyset)=>((X721)=(emptyset))))=>(![X722:$i, X723:$i]:(((subset @ X723 @ X722)=>(in @ X723 @ (powerset @ X722))))=>(![X724:$i, X725:$i]:(((in @ X725 @ (powerset @ X724))=>(subset @ X725 @ X724)))=>(![X726:$i]:((in @ X726 @ (powerset @ X726)))=>(![X727:$i, X728:$i]:(((subset @ X727 @ X728)=>(subset @ (powerset @ X727) @ (powerset @ X728))))=>(![X729:$i, X730:$i > $o]:((in @ (dsetconstr @ X729 @ X730) @ (powerset @ X729)))=>(![X731:$i, X732:$i > $o]:((subset @ (dsetconstr @ X731 @ X732) @ X731))=>(![X733:$i, X734:$i, X735:$i]:(((in @ X735 @ X733)=>(in @ X735 @ (binunion @ X733 @ X734))))=>(![X736:$i, X737:$i]:((in @ X737 @ (setadjoin @ X736 @ (setadjoin @ X737 @ emptyset))))=>(![X738:$i, X739:$i, X740:$i]:(((in @ X740 @ X739)=>(in @ X740 @ (binunion @ X738 @ X739))))=>(![X741:$i, X742:$i, X743:$i, X744:$o]:(((in @ X743 @ (binunion @ X741 @ X742))=>(((in @ X743 @ X741)=>(X744))=>(((in @ X743 @ X742)=>(X744))=>(X744)))))=>(![X745:$i, X746:$i, X747:$i]:(((in @ X747 @ (binunion @ X745 @ X746))=>((in @ X747 @ X745)|(in @ X747 @ X746))))=>(![X748:$i, X749:$i]:((subset @ X748 @ (binunion @ X748 @ X749)))=>(![X750:$i, X751:$i]:((subset @ X751 @ (binunion @ X750 @ X751)))=>(![X752:$i, X753:$i, X754:$i]:(((in @ X754 @ X752)=>((in @ X754 @ X753)=>(in @ X754 @ (binintersect @ X752 @ X753)))))=>(![X755:$i, X756:$i, X757:$i]:(((subset @ X757 @ X755)=>((subset @ X757 @ X756)=>(subset @ X757 @ (binintersect @ X755 @ X756)))))=>(![X758:$i, X759:$i, X760:$i]:(((in @ X760 @ (binintersect @ X758 @ X759))=>(in @ X760 @ X758)))=>(![X761:$i, X762:$i]:((subset @ (binintersect @ X761 @ X762) @ X761))=>(![X763:$i, X764:$i]:(((subset @ X763 @ X764)=>((binintersect @ X763 @ X764)=(X763))))=>(![X765:$i, X766:$i]:((((binintersect @ X765 @ X766)=(X766))=>(subset @ X766 @ X765)))=>(![X767:$i, X768:$i, X769:$i]:(((in @ X769 @ (binintersect @ X767 @ X768))=>(in @ X769 @ X768)))=>(![X770:$i, X771:$i]:((~(?[X772:$i]:(((in @ X772 @ X770)&(in @ X772 @ X771))))=>((binintersect @ X770 @ X771)=(emptyset))))=>(![X773:$i, X774:$i]:((subset @ (binintersect @ X773 @ X774) @ X774))=>(![X775:$i, X776:$i]:(((subset @ X776 @ X775)=>((binintersect @ X775 @ X776)=(X776))))=>(![X777:$i, X778:$i]:((((binintersect @ X777 @ X778)=(X777))=>(subset @ X777 @ X778)))=>(![X779:$i, X780:$i, X781:$i]:(((binintersect @ X779 @ (binunion @ X780 @ X781))=(binunion @ (binintersect @ X779 @ X780) @ (binintersect @ X779 @ X781))))=>(![X782:$i, X783:$i, X784:$i]:(((in @ X784 @ X782)=>(~(in @ X784 @ X783)=>(in @ X784 @ (setminus @ X782 @ X783)))))=>(![X785:$i, X786:$i, X787:$i]:(((in @ X787 @ (setminus @ X785 @ X786))=>(in @ X787 @ X785)))=>(![X788:$i, X789:$i, X790:$i]:(((in @ X790 @ (setminus @ X788 @ X789))=>~(in @ X790 @ X789)))=>(![X791:$i, X792:$i]:(((subset @ X791 @ X792)=>((setminus @ X791 @ X792)=(emptyset))))=>(![X793:$i, X794:$i, X795:$i]:((~(in @ X795 @ (setminus @ X793 @ X794))=>((in @ X795 @ X793)=>(in @ X795 @ X794))))=>(![X796:$i, X797:$i, X798:$i]:((~(in @ X798 @ (setminus @ X796 @ X797))=>(~(in @ X798 @ X797)=>~(in @ X798 @ X796))))=>(![X799:$i, X800:$i, X801:$i]:((~(in @ X801 @ X799)=>~(in @ X801 @ (setminus @ X799 @ X800))))=>(![X802:$i, X803:$i, X804:$i]:(((in @ X804 @ X803)=>~(in @ X804 @ (setminus @ X802 @ X803))))=>(![X805:$i, X806:$i]:((subset @ (setminus @ X805 @ X806) @ X805))=>(![X807:$i, X808:$i]:((((setminus @ X807 @ X808)=(emptyset))=>(subset @ X807 @ X808)))=>(![X809:$i, X810:$i, X811:$i]:(((in @ X811 @ (symdiff @ X809 @ X810))=>![X812:$o]:((((in @ X811 @ X809)=>(~(in @ X811 @ X810)=>(X812)))=>((~(in @ X811 @ X809)=>((in @ X811 @ X810)=>(X812)))=>(X812))))))=>(![X813:$i, X814:$i, X815:$i]:(((in @ X815 @ X813)=>(~(in @ X815 @ X814)=>(in @ X815 @ (symdiff @ X813 @ X814)))))=>(![X816:$i, X817:$i, X818:$i]:((~(in @ X818 @ X816)=>((in @ X818 @ X817)=>(in @ X818 @ (symdiff @ X816 @ X817)))))=>(![X819:$i, X820:$i, X821:$i]:(((in @ X821 @ X819)=>((in @ X821 @ X820)=>~(in @ X821 @ (symdiff @ X819 @ X820)))))=>(![X822:$i, X823:$i, X824:$i]:((~(in @ X824 @ X822)=>(~(in @ X824 @ X823)=>~(in @ X824 @ (symdiff @ X822 @ X823)))))=>(![X825:$i, X826:$i]:((in @ X826 @ (setadjoin @ X825 @ (setadjoin @ X826 @ emptyset))))=>(![X827:$i, X828:$i]:((in @ X827 @ (setunion @ (setadjoin @ (setadjoin @ X827 @ emptyset) @ (setadjoin @ (setadjoin @ X827 @ (setadjoin @ X828 @ emptyset)) @ emptyset)))))=>(![X829:$i, X830:$i]:((in @ X830 @ (setunion @ (setadjoin @ (setadjoin @ X829 @ emptyset) @ (setadjoin @ (setadjoin @ X829 @ (setadjoin @ X830 @ emptyset)) @ emptyset)))))=>(![X831:$i, X832:$i]:(?[X833:$i]:(((in @ X833 @ (setunion @ (setadjoin @ (setadjoin @ X831 @ emptyset) @ (setadjoin @ (setadjoin @ X831 @ (setadjoin @ X832 @ emptyset)) @ emptyset))))&?[X834:$i]:(((in @ X834 @ (setunion @ (setadjoin @ (setadjoin @ X831 @ emptyset) @ (setadjoin @ (setadjoin @ X831 @ (setadjoin @ X832 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X831 @ emptyset) @ (setadjoin @ (setadjoin @ X831 @ (setadjoin @ X832 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X833 @ emptyset) @ (setadjoin @ (setadjoin @ X833 @ (setadjoin @ X834 @ emptyset)) @ emptyset))))))))=>(![X835:$i, X836:$i]:(?[X837:$i]:(((in @ X837 @ (setunion @ (kpair @ X835 @ X836)))&?[X838:$i]:(((in @ X838 @ (setunion @ (kpair @ X835 @ X836)))&((kpair @ X835 @ X836)=(setadjoin @ (setadjoin @ X837 @ emptyset) @ (setadjoin @ (setadjoin @ X837 @ (setadjoin @ X838 @ emptyset)) @ emptyset))))))))=>(![X839:$i, X840:$i]:(((in @ X840 @ X839)=>(subset @ (setadjoin @ X840 @ emptyset) @ X839)))=>(![X841:$i, X842:$i]:(((in @ X842 @ X841)=>(in @ (setadjoin @ X842 @ emptyset) @ (powerset @ X841))))=>(![X843:$i, X844:$i, X845:$i]:(((in @ X845 @ X843)=>(in @ (setadjoin @ X845 @ emptyset) @ (powerset @ (binunion @ X843 @ X844)))))=>(![X846:$i, X847:$i, X848:$i]:(((in @ X848 @ (setadjoin @ X846 @ (setadjoin @ X847 @ emptyset)))=>(((X848)=(X846))|((X848)=(X847)))))=>(![X849:$i, X850:$i, X851:$i]:(((in @ X851 @ X849)=>![X852:$i]:(((in @ X852 @ X850)=>(subset @ (setadjoin @ X851 @ (setadjoin @ X852 @ emptyset)) @ (binunion @ X849 @ X850))))))=>(![X853:$i, X854:$i, X855:$i]:(((in @ X855 @ X853)=>![X856:$i]:(((in @ X856 @ X854)=>(in @ (setadjoin @ X855 @ (setadjoin @ X856 @ emptyset)) @ (powerset @ (binunion @ X853 @ X854)))))))=>(![X857:$i, X858:$i, X859:$i]:(((in @ X859 @ X857)=>![X860:$i]:(((in @ X860 @ X858)=>(subset @ (setadjoin @ (setadjoin @ X859 @ emptyset) @ (setadjoin @ (setadjoin @ X859 @ (setadjoin @ X860 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X857 @ X858)))))))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (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)],[inference(apply_def,[status(thm)],[inference(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_165, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_166]), foundationAx]), wellorderingAx]), c_0_167]), c_0_168]), c_0_169]), c_0_170]), c_0_171]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_172]), setext]), emptyI]), noeltsimpempty]), c_0_173]), c_0_174]), c_0_175]), c_0_176]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_177]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_178]), c_0_179]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_180]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_181]), c_0_182]), c_0_183]), inCongP]), in__Cong]), c_0_184]), c_0_185]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_186]), c_0_187]), c_0_188]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_189]), c_0_190]), 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]), c_0_191]), c_0_192]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1])])]), c_0_193])).
% 1.58/0.51 thf(c_0_195, plain, ![X861:$i, X862:$i]:(((kpair @ X861 @ X862)=(setadjoin @ (setadjoin @ X861 @ emptyset) @ (setadjoin @ (setadjoin @ X861 @ (setadjoin @ X862 @ emptyset)) @ emptyset)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[kpair])])).
% 1.58/0.51 thf(c_0_196, negated_conjecture, ![X869:$i, X870:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X882:$i, X883:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X891:$i, X892:$i > $i > $o, X893:$i, X895:$i, X898:$i, X900:$i, X901:$i, X902:$i, X903:$i, X905:$i, X906:$i > $o, X907:$i, X909:$i, X910:$i > $o, X911:$i, X912:$i, X913:$i > $o, X914:$i, X915:$i, X916:$i > $o, X917:$i, X918:$i > $o, X919:$i, X922:$i, X923:$o, X924:$i, X925:$i, X926:$o, X927:$i, X928:$i, X929:$i > $o, X930:$i, X933:$i, X934:$i, X937:$i, X939:$i, X941:$i, X942:$i > $o, X943:$i, X944:$i, X946:$i, X947:$i > $o, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$o, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i, X967:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$o, X979:$i, X980:$i, X981:$i > $o, X982:$i, X985:$i, X986:$i, X987:$i, X989:$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 > $o, X1006:$i, X1007:$i > $o, X1008:$i, X1009:$i, X1010:$i > $o, X1011:$i, X1013:$i, X1014:$i > $o, X1016:$i, X1017:$i, X1018:$i > $o, X1020:$i, X1021:$i, X1022:$i > $o, X1023:$i, X1025:$o, X1026:$o, X1027:$i, X1028:$i > $o, X1030:$i, X1031:$i, X1032:$i > $o, X1033:$i, X1035:$i > $o, X1036:$i, X1039:$i, X1040:$i > $o, X1041:$i, X1045:$i, X1046:$i > $o, X1047:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i > $o, X1060:$i, X1062:$i, X1063:$i, X1064:$i > $o, X1065:$i > $o, X1068:$i, X1071:$i, X1072:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$i, X1083:$i, X1084:$i > $o, X1085:$i, X1087:$i, X1088:$i, X1089:$i > $o, X1090:$i > $o, X1093:$i, X1095:$i, X1097:$i, X1098:$i, X1099:$i > $o, X1100:$i > $o, X1103:$i, X1104:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i, X1124:$i, X1125:$i, X1126:$i, X1127:$i, X1128:$i, X1129:$i, X1130:$i, X1131:$i, X1132:$i, X1133:$i, X1134:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i > $o, X1151:$i, X1152:$i > $o, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1162:$i, X1163:$i, X1164:$o, X1165:$i, X1166:$i, X1167:$i, X1168:$i, X1169:$i, X1170:$i, X1171:$i, X1172:$i, X1173:$i, X1174:$i, X1175:$i, X1176:$i, X1177:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, 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X1064 @ X1065))))&(~(X1064 @ X1075)|((esk44_2 @ X1064 @ X1065)=(X1075))|((X1065 @ (esk43_3 @ X1064 @ X1065 @ X1072))|~(X1065 @ X1072))|(~(X1064 @ (esk39_2 @ X1064 @ X1065))|~(X1065 @ (esk40_2 @ X1064 @ X1065)))))&(((X1064 @ (esk44_2 @ X1064 @ X1065))|(((X1072)!=(esk43_3 @ X1064 @ X1065 @ X1072))|~(X1065 @ X1072))|(~(X1064 @ (esk39_2 @ X1064 @ X1065))|~(X1065 @ (esk40_2 @ X1064 @ X1065))))&(~(X1064 @ X1075)|((esk44_2 @ X1064 @ X1065)=(X1075))|(((X1072)!=(esk43_3 @ X1064 @ X1065 @ X1072))|~(X1065 @ X1072))|(~(X1064 @ (esk39_2 @ X1064 @ X1065))|~(X1065 @ (esk40_2 @ X1064 @ X1065)))))))&(((((X1065 @ (esk42_2 @ X1064 @ X1065))|((X1064 @ (esk41_3 @ X1064 @ X1065 @ X1068))|~(X1064 @ X1068))|((X1064 @ (esk39_2 @ X1064 @ X1065))|(X1065 @ (esk40_2 @ X1064 @ X1065))))&(~(X1065 @ X1071)|((esk42_2 @ X1064 @ X1065)=(X1071))|((X1064 @ (esk41_3 @ X1064 @ X1065 @ X1068))|~(X1064 @ X1068))|((X1064 @ (esk39_2 @ X1064 @ X1065))|(X1065 @ (esk40_2 @ X1064 @ X1065)))))&(((X1065 @ (esk42_2 @ X1064 @ X1065))|(((X1068)!=(esk41_3 @ X1064 @ X1065 @ X1068))|~(X1064 @ X1068))|((X1064 @ (esk39_2 @ X1064 @ X1065))|(X1065 @ (esk40_2 @ X1064 @ X1065))))&(~(X1065 @ X1071)|((esk42_2 @ X1064 @ X1065)=(X1071))|(((X1068)!=(esk41_3 @ X1064 @ X1065 @ X1068))|~(X1064 @ X1068))|((X1064 @ (esk39_2 @ X1064 @ X1065))|(X1065 @ (esk40_2 @ X1064 @ X1065))))))&((((X1064 @ (esk44_2 @ X1064 @ X1065))|((X1065 @ (esk43_3 @ X1064 @ X1065 @ X1072))|~(X1065 @ X1072))|((X1064 @ (esk39_2 @ X1064 @ X1065))|(X1065 @ (esk40_2 @ X1064 @ X1065))))&(~(X1064 @ X1075)|((esk44_2 @ X1064 @ X1065)=(X1075))|((X1065 @ (esk43_3 @ X1064 @ X1065 @ X1072))|~(X1065 @ X1072))|((X1064 @ (esk39_2 @ X1064 @ X1065))|(X1065 @ (esk40_2 @ X1064 @ X1065)))))&(((X1064 @ (esk44_2 @ X1064 @ X1065))|(((X1072)!=(esk43_3 @ X1064 @ X1065 @ X1072))|~(X1065 @ X1072))|((X1064 @ (esk39_2 @ X1064 @ X1065))|(X1065 @ (esk40_2 @ X1064 @ X1065))))&(~(X1064 @ X1075)|((esk44_2 @ X1064 @ X1065)=(X1075))|(((X1072)!=(esk43_3 @ X1064 @ X1065 @ X1072))|~(X1065 @ X1072))|((X1064 @ (esk39_2 @ X1064 @ X1065))|(X1065 @ (esk40_2 @ X1064 @ X1065)))))))))&(((emptyset)=(emptyset))&((((X1076)!=(X1077))|(((X1078)!=(X1079))|((setadjoin @ X1076 @ X1078)=(setadjoin @ X1077 @ X1079))))&((((X1080)!=(X1081))|((powerset @ X1080)=(powerset @ X1081)))&((((X1082)!=(X1083))|((setunion @ X1082)=(setunion @ X1083)))&(((omega)=(omega))&((((X1084 @ (esk45_2 @ X1084 @ X1085))|~(X1084 @ X1085)|(~(X1084 @ X1087)|(~(X1084 @ X1088)|((X1087)=(X1088)))))&(((X1085)!=(esk45_2 @ X1084 @ X1085))|~(X1084 @ X1085)|(~(X1084 @ X1087)|(~(X1084 @ X1088)|((X1087)=(X1088))))))&((((((X1090 @ (esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|((X1089 @ (esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|((esk46_2 @ X1089 @ X1090)=(esk47_2 @ X1089 @ X1090)))&(((X1095)!=(esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|((X1089 @ (esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|((esk46_2 @ X1089 @ X1090)=(esk47_2 @ X1089 @ X1090))))&(((X1090 @ (esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|(((X1093)!=(esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|((esk46_2 @ X1089 @ X1090)=(esk47_2 @ X1089 @ X1090)))&(((X1095)!=(esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|(((X1093)!=(esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|((esk46_2 @ X1089 @ X1090)=(esk47_2 @ X1089 @ X1090)))))&(((((X1090 @ (esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|((X1089 @ (esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|(~(X1089 @ (esk46_2 @ X1089 @ X1090))|~(X1090 @ (esk47_2 @ X1089 @ X1090))))&(((X1095)!=(esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|((X1089 @ (esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|(~(X1089 @ (esk46_2 @ X1089 @ X1090))|~(X1090 @ (esk47_2 @ X1089 @ X1090)))))&(((X1090 @ (esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|(((X1093)!=(esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|(~(X1089 @ (esk46_2 @ X1089 @ X1090))|~(X1090 @ (esk47_2 @ X1089 @ X1090))))&(((X1095)!=(esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|(((X1093)!=(esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|(~(X1089 @ (esk46_2 @ X1089 @ X1090))|~(X1090 @ (esk47_2 @ X1089 @ X1090))))))&((((X1090 @ (esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|((X1089 @ (esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|((X1089 @ (esk46_2 @ X1089 @ X1090))|(X1090 @ (esk47_2 @ X1089 @ X1090))))&(((X1095)!=(esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|((X1089 @ (esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|((X1089 @ (esk46_2 @ X1089 @ X1090))|(X1090 @ (esk47_2 @ X1089 @ X1090)))))&(((X1090 @ (esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|(((X1093)!=(esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|((X1089 @ (esk46_2 @ X1089 @ X1090))|(X1090 @ (esk47_2 @ X1089 @ X1090))))&(((X1095)!=(esk49_3 @ X1089 @ X1090 @ X1095))|~(X1090 @ X1095)|((descr @ X1089)=(descr @ X1090))|(((X1093)!=(esk48_3 @ X1089 @ X1090 @ X1093))|~(X1089 @ X1093))|((X1089 @ (esk46_2 @ X1089 @ X1090))|(X1090 @ (esk47_2 @ X1089 @ X1090))))))))&((((in @ (esk50_4 @ X1097 @ X1098 @ X1099 @ X1100) @ X1097)|((dsetconstr @ X1097 @ X1099)=(dsetconstr @ X1098 @ X1100))|((X1097)!=(X1098)))&(((in @ (esk51_4 @ X1097 @ X1098 @ X1099 @ X1100) @ X1098)|((dsetconstr @ X1097 @ X1099)=(dsetconstr @ X1098 @ X1100))|((X1097)!=(X1098)))&((((esk50_4 @ X1097 @ X1098 @ X1099 @ X1100)=(esk51_4 @ X1097 @ X1098 @ X1099 @ X1100))|((dsetconstr @ X1097 @ X1099)=(dsetconstr @ X1098 @ X1100))|((X1097)!=(X1098)))&((~(X1099 @ (esk50_4 @ X1097 @ X1098 @ X1099 @ X1100))|~(X1100 @ (esk51_4 @ X1097 @ X1098 @ X1099 @ X1100))|((dsetconstr @ X1097 @ X1099)=(dsetconstr @ X1098 @ X1100))|((X1097)!=(X1098)))&((X1099 @ (esk50_4 @ X1097 @ X1098 @ X1099 @ X1100))|(X1100 @ (esk51_4 @ X1097 @ X1098 @ X1099 @ X1100))|((dsetconstr @ X1097 @ X1099)=(dsetconstr @ X1098 @ X1100))|((X1097)!=(X1098)))))))&((((in @ (esk52_2 @ X1103 @ X1104) @ X1103)|(subset @ X1103 @ X1104))&(~(in @ (esk52_2 @ X1103 @ X1104) @ X1104)|(subset @ X1103 @ X1104)))&((((X1106)!=(X1107))|(subset @ X1107 @ X1106))&((((X1108)!=(X1109))|(subset @ X1108 @ X1109))&((((in @ (esk53_2 @ X1110 @ X1111) @ X1110)|(subset @ X1110 @ X1111))&(~(in @ (esk53_2 @ X1110 @ X1111) @ X1111)|(subset @ X1110 @ X1111)))&((subset @ emptyset @ X1113)&((~(subset @ X1114 @ X1115)|(~(in @ X1116 @ X1114)|(in @ X1116 @ X1115)))&((~(subset @ X1117 @ X1118)|((in @ X1119 @ X1118)|~(in @ X1119 @ X1117)))&((~(in @ X1122 @ X1120)|((in @ X1122 @ X1121)|~(subset @ X1120 @ X1121)))&(((subset @ X1123 @ X1124)|((X1123)!=(X1124)))&((~(in @ X1127 @ X1125)|((in @ X1127 @ X1126)|((X1125)!=(X1126))))&((subset @ X1128 @ X1128)&((~(subset @ X1129 @ X1130)|(~(subset @ X1130 @ X1131)|(subset @ X1129 @ X1131)))&((subset @ X1133 @ (setadjoin @ X1132 @ X1133))&((~(subset @ X1134 @ X1136)|(subset @ X1134 @ (setadjoin @ X1135 @ X1136)))&((~(subset @ X1137 @ X1138)|(in @ X1137 @ (powerset @ X1138)))&((~(subset @ X1139 @ X1140)|(~(subset @ X1140 @ X1139)|((X1139)=(X1140))))&((~(subset @ X1141 @ emptyset)|((X1141)=(emptyset)))&((~(subset @ X1143 @ X1142)|(in @ X1143 @ (powerset @ X1142)))&((~(in @ X1145 @ (powerset @ X1144))|(subset @ X1145 @ X1144))&((in @ X1146 @ (powerset @ X1146))&((~(subset @ X1147 @ X1148)|(subset @ (powerset @ X1147) @ (powerset @ X1148)))&((in @ (dsetconstr @ X1149 @ X1150) @ (powerset @ X1149))&((subset @ (dsetconstr @ X1151 @ X1152) @ X1151)&((~(in @ X1155 @ X1153)|(in @ X1155 @ (binunion @ X1153 @ X1154)))&((in @ X1157 @ (setadjoin @ X1156 @ (setadjoin @ X1157 @ emptyset)))&((~(in @ X1160 @ X1159)|(in @ X1160 @ (binunion @ X1158 @ X1159)))&(((((in @ X1163 @ X1162)|(X1164)|(in @ X1163 @ X1161)|~(in @ X1163 @ (binunion @ X1161 @ X1162)))&(~(X1164)|(X1164)|(in @ X1163 @ X1161)|~(in @ X1163 @ (binunion @ X1161 @ X1162))))&(((in @ X1163 @ X1162)|(X1164)|~(X1164)|~(in @ X1163 @ (binunion @ X1161 @ X1162)))&(~(X1164)|(X1164)|~(X1164)|~(in @ X1163 @ (binunion @ X1161 @ X1162)))))&((~(in @ X1167 @ (binunion @ X1165 @ X1166))|((in @ X1167 @ X1165)|(in @ X1167 @ X1166)))&((subset @ X1168 @ (binunion @ X1168 @ X1169))&((subset @ X1171 @ (binunion @ X1170 @ X1171))&((~(in @ X1174 @ X1172)|(~(in @ X1174 @ X1173)|(in @ X1174 @ (binintersect @ X1172 @ X1173))))&((~(subset @ X1177 @ X1175)|(~(subset @ X1177 @ X1176)|(subset @ X1177 @ (binintersect @ X1175 @ X1176))))&((~(in @ X1180 @ (binintersect @ X1178 @ X1179))|(in @ X1180 @ X1178))&((subset @ (binintersect @ X1181 @ X1182) @ X1181)&((~(subset @ X1183 @ X1184)|((binintersect @ X1183 @ X1184)=(X1183)))&((((binintersect @ X1185 @ X1186)!=(X1186))|(subset @ X1186 @ X1185))&((~(in @ X1189 @ (binintersect @ X1187 @ X1188))|(in @ X1189 @ X1188))&((((in @ (esk54_2 @ X1190 @ X1191) @ X1190)|((binintersect @ X1190 @ X1191)=(emptyset)))&((in @ (esk54_2 @ X1190 @ X1191) @ X1191)|((binintersect @ X1190 @ X1191)=(emptyset))))&((subset @ (binintersect @ X1193 @ X1194) @ X1194)&((~(subset @ X1196 @ X1195)|((binintersect @ X1195 @ X1196)=(X1196)))&((((binintersect @ X1197 @ X1198)!=(X1197))|(subset @ X1197 @ X1198))&(((binintersect @ X1199 @ (binunion @ X1200 @ X1201))=(binunion @ (binintersect @ X1199 @ X1200) @ (binintersect @ X1199 @ X1201)))&((~(in @ X1204 @ X1202)|((in @ X1204 @ X1203)|(in @ X1204 @ (setminus @ X1202 @ X1203))))&((~(in @ X1207 @ (setminus @ X1205 @ X1206))|(in @ X1207 @ X1205))&((~(in @ X1210 @ (setminus @ X1208 @ X1209))|~(in @ X1210 @ X1209))&((~(subset @ X1211 @ X1212)|((setminus @ X1211 @ X1212)=(emptyset)))&(((in @ X1215 @ (setminus @ X1213 @ X1214))|(~(in @ X1215 @ X1213)|(in @ X1215 @ X1214)))&(((in @ X1218 @ (setminus @ X1216 @ X1217))|((in @ X1218 @ X1217)|~(in @ X1218 @ X1216)))&(((in @ X1221 @ X1219)|~(in @ X1221 @ (setminus @ X1219 @ X1220)))&((~(in @ X1224 @ X1223)|~(in @ X1224 @ (setminus @ X1222 @ X1223)))&((subset @ (setminus @ X1225 @ X1226) @ X1225)&((((setminus @ X1227 @ X1228)!=(emptyset))|(subset @ X1227 @ X1228))&((((~(in @ X1231 @ X1229)|(X1232)|(in @ X1231 @ X1229)|~(in @ X1231 @ (symdiff @ X1229 @ X1230)))&(((in @ X1231 @ X1230)|(X1232)|(in @ X1231 @ X1229)|~(in @ X1231 @ (symdiff @ X1229 @ X1230)))&(~(X1232)|(X1232)|(in @ X1231 @ X1229)|~(in @ X1231 @ (symdiff @ X1229 @ X1230)))))&(((~(in @ X1231 @ X1229)|(X1232)|~(in @ X1231 @ X1230)|~(in @ X1231 @ (symdiff @ X1229 @ X1230)))&(((in @ X1231 @ X1230)|(X1232)|~(in @ X1231 @ X1230)|~(in @ X1231 @ (symdiff @ X1229 @ X1230)))&(~(X1232)|(X1232)|~(in @ X1231 @ X1230)|~(in @ X1231 @ (symdiff @ X1229 @ X1230)))))&((~(in @ X1231 @ X1229)|(X1232)|~(X1232)|~(in @ X1231 @ (symdiff @ X1229 @ X1230)))&(((in @ X1231 @ X1230)|(X1232)|~(X1232)|~(in @ X1231 @ (symdiff @ X1229 @ X1230)))&(~(X1232)|(X1232)|~(X1232)|~(in @ X1231 @ (symdiff @ X1229 @ X1230)))))))&((~(in @ X1235 @ X1233)|((in @ X1235 @ X1234)|(in @ X1235 @ (symdiff @ X1233 @ X1234))))&(((in @ X1238 @ X1236)|(~(in @ X1238 @ X1237)|(in @ X1238 @ (symdiff @ X1236 @ X1237))))&((~(in @ X1241 @ X1239)|(~(in @ X1241 @ X1240)|~(in @ X1241 @ (symdiff @ X1239 @ X1240))))&(((in @ X1244 @ X1242)|((in @ X1244 @ X1243)|~(in @ X1244 @ (symdiff @ X1242 @ X1243))))&((in @ X1246 @ (setadjoin @ X1245 @ (setadjoin @ X1246 @ emptyset)))&((in @ X1247 @ (setunion @ (setadjoin @ (setadjoin @ X1247 @ emptyset) @ (setadjoin @ (setadjoin @ X1247 @ (setadjoin @ X1248 @ emptyset)) @ emptyset))))&((in @ X1250 @ (setunion @ (setadjoin @ (setadjoin @ X1249 @ emptyset) @ (setadjoin @ (setadjoin @ X1249 @ (setadjoin @ X1250 @ emptyset)) @ emptyset))))&(((in @ (esk55_2 @ X1251 @ X1252) @ (setunion @ (setadjoin @ (setadjoin @ X1251 @ emptyset) @ (setadjoin @ (setadjoin @ X1251 @ (setadjoin @ X1252 @ emptyset)) @ emptyset))))&((in @ (esk56_2 @ X1251 @ X1252) @ (setunion @ (setadjoin @ (setadjoin @ X1251 @ emptyset) @ (setadjoin @ (setadjoin @ X1251 @ (setadjoin @ X1252 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1251 @ emptyset) @ (setadjoin @ (setadjoin @ X1251 @ (setadjoin @ X1252 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X1251 @ X1252) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X1251 @ X1252) @ (setadjoin @ (esk56_2 @ X1251 @ X1252) @ emptyset)) @ emptyset)))))&(((in @ (esk57_2 @ X1255 @ X1256) @ (setunion @ (kpair @ X1255 @ X1256)))&((in @ (esk58_2 @ X1255 @ X1256) @ (setunion @ (kpair @ X1255 @ X1256)))&((kpair @ X1255 @ X1256)=(setadjoin @ (setadjoin @ (esk57_2 @ X1255 @ X1256) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X1255 @ X1256) @ (setadjoin @ (esk58_2 @ X1255 @ X1256) @ emptyset)) @ emptyset)))))&((~(in @ X1260 @ X1259)|(subset @ (setadjoin @ X1260 @ emptyset) @ X1259))&((~(in @ X1262 @ X1261)|(in @ (setadjoin @ X1262 @ emptyset) @ (powerset @ X1261)))&((~(in @ X1265 @ X1263)|(in @ (setadjoin @ X1265 @ emptyset) @ (powerset @ (binunion @ X1263 @ X1264))))&((~(in @ X1268 @ (setadjoin @ X1266 @ (setadjoin @ X1267 @ emptyset)))|(((X1268)=(X1266))|((X1268)=(X1267))))&((~(in @ X1271 @ X1269)|(~(in @ X1272 @ X1270)|(subset @ (setadjoin @ X1271 @ (setadjoin @ X1272 @ emptyset)) @ (binunion @ X1269 @ X1270))))&((~(in @ X1275 @ X1273)|(~(in @ X1276 @ X1274)|(in @ (setadjoin @ X1275 @ (setadjoin @ X1276 @ emptyset)) @ (powerset @ (binunion @ X1273 @ X1274)))))&((~(in @ X1279 @ X1277)|(~(in @ X1280 @ X1278)|(subset @ (setadjoin @ (setadjoin @ X1279 @ emptyset) @ (setadjoin @ (setadjoin @ X1279 @ (setadjoin @ X1280 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1277 @ X1278)))))&((in @ esk61_0 @ esk59_0)&((in @ esk62_0 @ esk60_0)&~(in @ (setadjoin @ (setadjoin @ esk61_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk61_0 @ (setadjoin @ esk62_0 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ esk59_0 @ esk60_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_194])])])])])])])).
% 1.58/0.51 thf(c_0_197, plain, ![X865:$i, X866:$i]:(((kpair @ X865 @ X866)=(setadjoin @ (setadjoin @ X865 @ emptyset) @ (setadjoin @ (setadjoin @ X865 @ (setadjoin @ X866 @ emptyset)) @ emptyset)))), inference(variable_rename,[status(thm)],[c_0_195])).
% 1.58/0.51 thf(c_0_198, negated_conjecture, ~((in @ (setadjoin @ (setadjoin @ esk61_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk61_0 @ (setadjoin @ esk62_0 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ esk59_0 @ esk60_0))))), inference(split_conjunct,[status(thm)],[c_0_196])).
% 1.58/0.51 thf(c_0_199, plain, ![X2:$i, X3:$i]:(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_197])).
% 1.58/0.51 thf(c_0_200, negated_conjecture, ~((in @ (kpair @ esk61_0 @ esk62_0) @ (powerset @ (powerset @ (binunion @ esk59_0 @ esk60_0))))), inference(rw,[status(thm)],[c_0_198, c_0_199])).
% 1.58/0.51 thf(c_0_201, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ (powerset @ X3))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_196])).
% 1.58/0.51 thf(c_0_202, negated_conjecture, ![X2:$i, X3:$i, X4:$i, X5:$i]:(((subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X4 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X3 @ X5)))|~((in @ X2 @ X3))|~((in @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_196])).
% 1.58/0.51 thf(c_0_203, negated_conjecture, ~((subset @ (kpair @ esk61_0 @ esk62_0) @ (powerset @ (binunion @ esk59_0 @ esk60_0)))), inference(spm,[status(thm)],[c_0_200, c_0_201])).
% 1.58/0.51 thf(c_0_204, negated_conjecture, ![X3:$i, X2:$i, X5:$i, X4:$i]:(((subset @ (kpair @ X2 @ X3) @ (powerset @ (binunion @ X4 @ X5)))|~((in @ X3 @ X5))|~((in @ X2 @ X4)))), inference(rw,[status(thm)],[c_0_202, c_0_199])).
% 1.58/0.51 thf(c_0_205, negated_conjecture, (in @ esk62_0 @ esk60_0), inference(split_conjunct,[status(thm)],[c_0_196])).
% 1.58/0.51 thf(c_0_206, negated_conjecture, (in @ esk61_0 @ esk59_0), inference(split_conjunct,[status(thm)],[c_0_196])).
% 1.58/0.51 thf(c_0_207, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203, c_0_204]), c_0_205]), c_0_206])]), ['proof']).
% 1.58/0.51 % SZS output end CNFRefutation
% 1.58/0.51 % Parsed axioms : 317
% 1.58/0.51 % Removed by relevancy pruning/SinE : 0
% 1.58/0.51 % Initial clauses : 448
% 1.58/0.51 % Removed in clause preprocessing : 192
% 1.58/0.51 % Initial clauses in saturation : 256
% 1.58/0.51 % Processed clauses : 1928
% 1.58/0.51 % ...of these trivial : 16
% 1.58/0.51 % ...subsumed : 1290
% 1.58/0.51 % ...remaining for further processing : 622
% 1.58/0.51 % Other redundant clauses eliminated : 27
% 1.58/0.51 % Clauses deleted for lack of memory : 0
% 1.58/0.51 % Backward-subsumed : 2
% 1.58/0.51 % Backward-rewritten : 6
% 1.58/0.51 % Generated clauses : 20309
% 1.58/0.51 % ...of the previous two non-redundant : 17707
% 1.58/0.51 % ...aggressively subsumed : 0
% 1.58/0.51 % Contextual simplify-reflections : 1
% 1.58/0.51 % Paramodulations : 20280
% 1.58/0.51 % Factorizations : 2
% 1.58/0.51 % NegExts : 0
% 1.58/0.51 % Equation resolutions : 27
% 1.58/0.51 % Disequality decompositions : 0
% 1.58/0.51 % Total rewrite steps : 7082
% 1.58/0.51 % ...of those cached : 6853
% 1.58/0.51 % Propositional unsat checks : 0
% 1.58/0.51 % Propositional check models : 0
% 1.58/0.51 % Propositional check unsatisfiable : 0
% 1.58/0.51 % Propositional clauses : 0
% 1.58/0.51 % Propositional clauses after purity: 0
% 1.58/0.51 % Propositional unsat core size : 0
% 1.58/0.51 % Propositional preprocessing time : 0.000
% 1.58/0.51 % Propositional encoding time : 0.000
% 1.58/0.51 % Propositional solver time : 0.000
% 1.58/0.51 % Success case prop preproc time : 0.000
% 1.58/0.51 % Success case prop encoding time : 0.000
% 1.58/0.51 % Success case prop solver time : 0.000
% 1.58/0.51 % Current number of processed clauses : 600
% 1.58/0.51 % Positive orientable unit clauses : 208
% 1.58/0.51 % Positive unorientable unit clauses: 0
% 1.58/0.51 % Negative unit clauses : 5
% 1.58/0.51 % Non-unit-clauses : 387
% 1.58/0.51 % Current number of unprocessed clauses: 15991
% 1.58/0.51 % ...number of literals in the above : 56436
% 1.58/0.51 % Current number of archived formulas : 0
% 1.58/0.51 % Current number of archived clauses : 8
% 1.58/0.51 % Clause-clause subsumption calls (NU) : 21806
% 1.58/0.51 % Rec. Clause-clause subsumption calls : 11916
% 1.58/0.51 % Non-unit clause-clause subsumptions : 661
% 1.58/0.51 % Unit Clause-clause subsumption calls : 491
% 1.58/0.51 % Rewrite failures with RHS unbound : 0
% 1.58/0.51 % BW rewrite match attempts : 947
% 1.58/0.51 % BW rewrite match successes : 4
% 1.58/0.51 % Condensation attempts : 0
% 1.58/0.51 % Condensation successes : 0
% 1.58/0.51 % Termbank termtop insertions : 402952
% 1.58/0.51 % Search garbage collected termcells : 14169
% 1.58/0.51
% 1.58/0.51 % -------------------------------------------------
% 1.58/0.51 % User time : 0.221 s
% 1.58/0.51 % System time : 0.015 s
% 1.58/0.51 % Total time : 0.236 s
% 1.58/0.51 % Maximum resident set size: 6764 pages
% 1.58/0.51
% 1.58/0.51 % -------------------------------------------------
% 1.58/0.51 % User time : 0.414 s
% 1.58/0.51 % System time : 0.101 s
% 1.58/0.51 % Total time : 0.516 s
% 1.58/0.51 % Maximum resident set size: 5120 pages
% 1.58/0.51 % E exiting
%------------------------------------------------------------------------------