%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU651^1 : 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 : n009.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 08:24:52 AM UTC 2026
% Result : Theorem 3.64s 0.80s
% Output : CNFRefutation 3.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU651^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 14:02:45 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 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.VexAmzyZPN/E---3.1_4049753.p
% 3.64/0.80 % Version: 3.5.1-ho
% 3.64/0.80 % Preprocessing class: HSLMSLSSLLLCHFA.
% 3.64/0.80 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.64/0.80 % Starting ehoh_best5 with 300s (1) cores
% 3.64/0.80 % Starting almost_fo_3_lam with 300s (1) cores
% 3.64/0.80 % Starting new_bool_5 with 300s (1) cores
% 3.64/0.80 % Starting pre_casc_3 with 300s (1) cores
% 3.64/0.80 % Starting ho_unfolding_8 with 300s (1) cores
% 3.64/0.80 % Starting new_ho_10_cnf2 with 300s (1) cores
% 3.64/0.80 % Starting new_bool_3 with 300s (1) cores
% 3.64/0.80 % Starting new_ho_5 with 300s (1) cores
% 3.64/0.80 % ho_unfolding_8 with pid 4049770 completed with status 0
% 3.64/0.80 % Result found by ho_unfolding_8
% 3.64/0.80 % Preprocessing class: HSLMSLSSLLLCHFA.
% 3.64/0.80 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.64/0.80 % Starting ehoh_best5 with 300s (1) cores
% 3.64/0.80 % Starting almost_fo_3_lam with 300s (1) cores
% 3.64/0.80 % Starting new_bool_5 with 300s (1) cores
% 3.64/0.80 % Starting pre_casc_3 with 300s (1) cores
% 3.64/0.80 % Starting ho_unfolding_8 with 300s (1) cores
% 3.64/0.80 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.64/0.80 % No SInE strategy applied
% 3.64/0.80 % Search class: HGHSM-FSLM31-MHFMMSBN
% 3.64/0.80 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 3.64/0.80 % Starting SubtermCWHack with 28s (1) cores
% 3.64/0.80 % SubtermCWHack with pid 4049779 completed with status 0
% 3.64/0.80 % Result found by SubtermCWHack
% 3.64/0.80 % Preprocessing class: HSLMSLSSLLLCHFA.
% 3.64/0.80 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.64/0.80 % Starting ehoh_best5 with 300s (1) cores
% 3.64/0.80 % Starting almost_fo_3_lam with 300s (1) cores
% 3.64/0.80 % Starting new_bool_5 with 300s (1) cores
% 3.64/0.80 % Starting pre_casc_3 with 300s (1) cores
% 3.64/0.80 % Starting ho_unfolding_8 with 300s (1) cores
% 3.64/0.80 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.64/0.80 % No SInE strategy applied
% 3.64/0.80 % Search class: HGHSM-FSLM31-MHFMMSBN
% 3.64/0.80 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 3.64/0.80 % Starting SubtermCWHack with 28s (1) cores
% 3.64/0.80 % Preprocessing time : 0.005 s
% 3.64/0.80
% 3.64/0.80 % Proof found!
% 3.64/0.80 % SZS status Theorem
% 3.64/0.80 % SZS output start CNFRefutation
% 3.64/0.80 thf(decl_23, type, in: $i > $i > $o).
% 3.64/0.80 thf(decl_24, type, exu: ($i > $o) > $o).
% 3.64/0.80 thf(decl_25, type, setextAx: $o).
% 3.64/0.80 thf(decl_26, type, emptyset: $i).
% 3.64/0.80 thf(decl_27, type, emptysetAx: $o).
% 3.64/0.80 thf(decl_28, type, setadjoin: $i > $i > $i).
% 3.64/0.80 thf(decl_29, type, setadjoinAx: $o).
% 3.64/0.80 thf(decl_30, type, powerset: $i > $i).
% 3.64/0.80 thf(decl_31, type, powersetAx: $o).
% 3.64/0.80 thf(decl_32, type, setunion: $i > $i).
% 3.64/0.80 thf(decl_33, type, setunionAx: $o).
% 3.64/0.80 thf(decl_34, type, omega: $i).
% 3.64/0.80 thf(decl_35, type, omega0Ax: $o).
% 3.64/0.80 thf(decl_36, type, omegaSAx: $o).
% 3.64/0.80 thf(decl_37, type, omegaIndAx: $o).
% 3.64/0.80 thf(decl_38, type, replAx: $o).
% 3.64/0.80 thf(decl_39, type, foundationAx: $o).
% 3.64/0.80 thf(decl_40, type, wellorderingAx: $o).
% 3.64/0.80 thf(decl_41, type, descr: ($i > $o) > $i).
% 3.64/0.80 thf(decl_42, type, descrp: $o).
% 3.64/0.80 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 3.64/0.80 thf(decl_44, type, dsetconstrI: $o).
% 3.64/0.80 thf(decl_45, type, dsetconstrEL: $o).
% 3.64/0.80 thf(decl_46, type, dsetconstrER: $o).
% 3.64/0.80 thf(decl_47, type, exuE1: $o).
% 3.64/0.80 thf(decl_48, type, prop2set: $o > $i).
% 3.64/0.80 thf(decl_49, type, prop2setE: $o).
% 3.64/0.80 thf(decl_50, type, emptysetE: $o).
% 3.64/0.80 thf(decl_51, type, emptysetimpfalse: $o).
% 3.64/0.80 thf(decl_52, type, notinemptyset: $o).
% 3.64/0.80 thf(decl_53, type, exuE3e: $o).
% 3.64/0.80 thf(decl_54, type, setext: $o).
% 3.64/0.81 thf(decl_55, type, emptyI: $o).
% 3.64/0.81 thf(decl_56, type, noeltsimpempty: $o).
% 3.64/0.81 thf(decl_57, type, setbeta: $o).
% 3.64/0.81 thf(decl_58, type, nonempty: $i > $o).
% 3.64/0.81 thf(decl_59, type, nonemptyE1: $o).
% 3.64/0.81 thf(decl_60, type, nonemptyI: $o).
% 3.64/0.81 thf(decl_61, type, nonemptyI1: $o).
% 3.64/0.81 thf(decl_62, type, setadjoinIL: $o).
% 3.64/0.81 thf(decl_63, type, emptyinunitempty: $o).
% 3.64/0.81 thf(decl_64, type, setadjoinIR: $o).
% 3.64/0.81 thf(decl_65, type, setadjoinE: $o).
% 3.64/0.81 thf(decl_66, type, setadjoinOr: $o).
% 3.64/0.81 thf(decl_67, type, setoftrueEq: $o).
% 3.64/0.81 thf(decl_68, type, powersetI: $o).
% 3.64/0.81 thf(decl_69, type, emptyinPowerset: $o).
% 3.64/0.81 thf(decl_70, type, emptyInPowerset: $o).
% 3.64/0.81 thf(decl_71, type, powersetE: $o).
% 3.64/0.81 thf(decl_72, type, setunionI: $o).
% 3.64/0.81 thf(decl_73, type, setunionE: $o).
% 3.64/0.81 thf(decl_74, type, subPowSU: $o).
% 3.64/0.81 thf(decl_75, type, exuE2: $o).
% 3.64/0.81 thf(decl_76, type, nonemptyImpWitness: $o).
% 3.64/0.81 thf(decl_77, type, uniqinunit: $o).
% 3.64/0.81 thf(decl_78, type, notinsingleton: $o).
% 3.64/0.81 thf(decl_79, type, eqinunit: $o).
% 3.64/0.81 thf(decl_80, type, singletonsswitch: $o).
% 3.64/0.81 thf(decl_81, type, upairsetE: $o).
% 3.64/0.81 thf(decl_82, type, upairsetIL: $o).
% 3.64/0.81 thf(decl_83, type, upairsetIR: $o).
% 3.64/0.81 thf(decl_84, type, emptyE1: $o).
% 3.64/0.81 thf(decl_85, type, vacuousDall: $o).
% 3.64/0.81 thf(decl_86, type, quantDeMorgan1: $o).
% 3.64/0.81 thf(decl_87, type, quantDeMorgan2: $o).
% 3.64/0.81 thf(decl_88, type, quantDeMorgan3: $o).
% 3.64/0.81 thf(decl_89, type, quantDeMorgan4: $o).
% 3.64/0.81 thf(decl_90, type, prop2setI: $o).
% 3.64/0.81 thf(decl_91, type, set2prop: $i > $o).
% 3.64/0.81 thf(decl_92, type, prop2set2propI: $o).
% 3.64/0.81 thf(decl_93, type, notdexE: $o).
% 3.64/0.81 thf(decl_94, type, notdallE: $o).
% 3.64/0.81 thf(decl_95, type, exuI1: $o).
% 3.64/0.81 thf(decl_96, type, exuI3: $o).
% 3.64/0.81 thf(decl_97, type, exuI2: $o).
% 3.64/0.81 thf(decl_98, type, inCongP: $o).
% 3.64/0.81 thf(decl_99, type, in__Cong: $o).
% 3.64/0.81 thf(decl_100, type, exuE3u: $o).
% 3.64/0.81 thf(decl_101, type, exu__Cong: $o).
% 3.64/0.81 thf(decl_102, type, emptyset__Cong: $o).
% 3.64/0.81 thf(decl_103, type, setadjoin__Cong: $o).
% 3.64/0.81 thf(decl_104, type, powerset__Cong: $o).
% 3.64/0.81 thf(decl_105, type, setunion__Cong: $o).
% 3.64/0.81 thf(decl_106, type, omega__Cong: $o).
% 3.64/0.81 thf(decl_107, type, exuEu: $o).
% 3.64/0.81 thf(decl_108, type, descr__Cong: $o).
% 3.64/0.81 thf(decl_109, type, dsetconstr__Cong: $o).
% 3.64/0.81 thf(decl_110, type, subset: $i > $i > $o).
% 3.64/0.81 thf(decl_113, type, subsetI1: $o).
% 3.64/0.81 thf(decl_114, type, eqimpsubset2: $o).
% 3.64/0.81 thf(decl_115, type, eqimpsubset1: $o).
% 3.64/0.81 thf(decl_116, type, subsetI2: $o).
% 3.64/0.81 thf(decl_117, type, emptysetsubset: $o).
% 3.64/0.81 thf(decl_118, type, subsetE: $o).
% 3.64/0.81 thf(decl_119, type, subsetE2: $o).
% 3.64/0.81 thf(decl_120, type, notsubsetI: $o).
% 3.64/0.81 thf(decl_121, type, notequalI1: $o).
% 3.64/0.81 thf(decl_122, type, notequalI2: $o).
% 3.64/0.81 thf(decl_123, type, subsetRefl: $o).
% 3.64/0.81 thf(decl_124, type, subsetTrans: $o).
% 3.64/0.81 thf(decl_125, type, setadjoinSub: $o).
% 3.64/0.81 thf(decl_126, type, setadjoinSub2: $o).
% 3.64/0.81 thf(decl_127, type, subset2powerset: $o).
% 3.64/0.81 thf(decl_128, type, setextsub: $o).
% 3.64/0.81 thf(decl_129, type, subsetemptysetimpeq: $o).
% 3.64/0.81 thf(decl_130, type, powersetI1: $o).
% 3.64/0.81 thf(decl_131, type, powersetE1: $o).
% 3.64/0.81 thf(decl_132, type, inPowerset: $o).
% 3.64/0.81 thf(decl_133, type, powersetsubset: $o).
% 3.64/0.81 thf(decl_134, type, sepInPowerset: $o).
% 3.64/0.81 thf(decl_135, type, sepSubset: $o).
% 3.64/0.81 thf(decl_136, type, binunion: $i > $i > $i).
% 3.64/0.81 thf(decl_137, type, binunionIL: $o).
% 3.64/0.81 thf(decl_138, type, upairset2IR: $o).
% 3.64/0.81 thf(decl_139, type, binunionIR: $o).
% 3.64/0.81 thf(decl_140, type, binunionEcases: $o).
% 3.64/0.81 thf(decl_141, type, binunionE: $o).
% 3.64/0.81 thf(decl_142, type, binunionLsub: $o).
% 3.64/0.81 thf(decl_143, type, binunionRsub: $o).
% 3.64/0.81 thf(decl_144, type, binintersect: $i > $i > $i).
% 3.64/0.81 thf(decl_145, type, binintersectI: $o).
% 3.64/0.81 thf(decl_146, type, binintersectSubset5: $o).
% 3.64/0.81 thf(decl_147, type, binintersectEL: $o).
% 3.64/0.81 thf(decl_148, type, binintersectLsub: $o).
% 3.64/0.81 thf(decl_149, type, binintersectSubset2: $o).
% 3.64/0.81 thf(decl_150, type, binintersectSubset3: $o).
% 3.64/0.81 thf(decl_151, type, binintersectER: $o).
% 3.64/0.81 thf(decl_152, type, disjointsetsI1: $o).
% 3.64/0.81 thf(decl_153, type, binintersectRsub: $o).
% 3.64/0.81 thf(decl_154, type, binintersectSubset4: $o).
% 3.64/0.81 thf(decl_155, type, binintersectSubset1: $o).
% 3.64/0.81 thf(decl_156, type, bs114d: $o).
% 3.64/0.81 thf(decl_158, type, setminus: $i > $i > $i).
% 3.64/0.81 thf(decl_159, type, setminusI: $o).
% 3.64/0.81 thf(decl_160, type, setminusEL: $o).
% 3.64/0.81 thf(decl_161, type, setminusER: $o).
% 3.64/0.81 thf(decl_162, type, setminusSubset2: $o).
% 3.64/0.81 thf(decl_163, type, setminusERneg: $o).
% 3.64/0.81 thf(decl_164, type, setminusELneg: $o).
% 3.64/0.81 thf(decl_165, type, setminusILneg: $o).
% 3.64/0.81 thf(decl_166, type, setminusIRneg: $o).
% 3.64/0.81 thf(decl_167, type, setminusLsub: $o).
% 3.64/0.81 thf(decl_168, type, setminusSubset1: $o).
% 3.64/0.81 thf(decl_169, type, symdiff: $i > $i > $i).
% 3.64/0.81 thf(decl_170, type, symdiffE: $o).
% 3.64/0.81 thf(decl_171, type, symdiffI1: $o).
% 3.64/0.81 thf(decl_172, type, symdiffI2: $o).
% 3.64/0.81 thf(decl_173, type, symdiffIneg1: $o).
% 3.64/0.81 thf(decl_174, type, symdiffIneg2: $o).
% 3.64/0.81 thf(decl_175, type, iskpair: $i > $o).
% 3.64/0.81 thf(decl_176, type, secondinupair: $o).
% 3.64/0.81 thf(decl_177, type, setukpairIL: $o).
% 3.64/0.81 thf(decl_178, type, setukpairIR: $o).
% 3.64/0.81 thf(decl_179, type, kpairiskpair: $o).
% 3.64/0.81 thf(decl_180, type, kpair: $i > $i > $i).
% 3.64/0.81 thf(decl_181, type, kpairp: $o).
% 3.64/0.81 thf(decl_182, type, cartprod: $i > $i > $i).
% 3.64/0.81 thf(decl_183, type, singletonsubset: $o).
% 3.64/0.81 thf(decl_184, type, singletoninpowerset: $o).
% 3.64/0.81 thf(decl_185, type, singletoninpowunion: $o).
% 3.64/0.81 thf(decl_186, type, upairset2E: $o).
% 3.64/0.81 thf(decl_187, type, upairsubunion: $o).
% 3.64/0.81 thf(decl_188, type, upairinpowunion: $o).
% 3.64/0.81 thf(decl_189, type, ubforcartprodlem1: $o).
% 3.64/0.81 thf(decl_190, type, ubforcartprodlem2: $o).
% 3.64/0.81 thf(decl_191, type, ubforcartprodlem3: $o).
% 3.64/0.81 thf(decl_192, type, cartprodpairin: $o).
% 3.64/0.81 thf(decl_193, type, cartprodmempair1: $o).
% 3.64/0.81 thf(decl_194, type, cartprodmempair: $o).
% 3.64/0.81 thf(decl_195, type, setunionE2: $o).
% 3.64/0.81 thf(decl_196, type, setunionsingleton1: $o).
% 3.64/0.81 thf(decl_197, type, setunionsingleton2: $o).
% 3.64/0.81 thf(decl_198, type, setunionsingleton: $o).
% 3.64/0.81 thf(decl_199, type, singleton: $i > $o).
% 3.64/0.81 thf(decl_200, type, singletonprop: $o).
% 3.64/0.81 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 3.64/0.81 thf(decl_202, type, ex1E1: $o).
% 3.64/0.81 thf(decl_203, type, ex1I: $o).
% 3.64/0.81 thf(decl_204, type, ex1I2: $o).
% 3.64/0.81 thf(decl_205, type, singletonsuniq: $o).
% 3.64/0.81 thf(decl_210, type, setukpairinjL1: $o).
% 3.64/0.81 thf(decl_211, type, kfstsingleton: $o).
% 3.64/0.81 thf(decl_212, type, theprop: $o).
% 3.64/0.81 thf(decl_213, type, kfst: $i > $i).
% 3.64/0.81 thf(decl_214, type, kfstpairEq: $o).
% 3.64/0.81 thf(decl_215, type, cartprodfstin: $o).
% 3.64/0.81 thf(decl_216, type, setukpairinjL2: $o).
% 3.64/0.81 thf(decl_217, type, setukpairinjL: $o).
% 3.64/0.81 thf(decl_218, type, setukpairinjR11: $o).
% 3.64/0.81 thf(decl_219, type, setukpairinjR12: $o).
% 3.64/0.81 thf(decl_220, type, epred1_0: $o).
% 3.64/0.81 thf(decl_221, type, esk1_2: $i > $i > $i).
% 3.64/0.81 thf(decl_222, type, esk2_2: $i > $i > $i).
% 3.64/0.81 thf(decl_223, type, esk3_2: $i > $i > $i).
% 3.64/0.81 thf(decl_224, type, esk4_1: $i > $i).
% 3.64/0.81 thf(decl_225, type, esk5_2: ($i > $i > $o) > $i > $i).
% 3.64/0.81 thf(decl_226, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 3.64/0.81 thf(decl_227, type, esk7_2: ($i > $i > $o) > $i > $i).
% 3.64/0.81 thf(decl_228, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 3.64/0.81 thf(decl_229, type, esk9_1: $i > $i).
% 3.64/0.81 thf(decl_230, type, esk10_2: ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_231, type, esk11_2: ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_232, type, esk12_1: ($i > $o) > $i).
% 3.64/0.81 thf(decl_233, type, esk13_2: ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_234, type, esk14_1: ($i > $o) > $i).
% 3.64/0.81 thf(decl_235, type, esk15_2: $i > $i > $i).
% 3.64/0.81 thf(decl_236, type, esk16_2: $i > $i > $i).
% 3.64/0.81 thf(decl_237, type, esk17_1: $i > $i).
% 3.64/0.81 thf(decl_238, type, esk18_1: $i > $i).
% 3.64/0.81 thf(decl_239, type, esk19_1: $i > $i).
% 3.64/0.81 thf(decl_240, type, esk20_2: $i > $i > $i).
% 3.64/0.81 thf(decl_241, type, esk21_3: $i > $i > $o > $i).
% 3.64/0.81 thf(decl_242, type, esk22_2: ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_243, type, esk23_1: ($i > $o) > $i).
% 3.64/0.81 thf(decl_244, type, esk24_1: $i > $i).
% 3.64/0.81 thf(decl_245, type, esk25_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_246, type, esk26_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_247, type, esk27_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_248, type, esk28_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_249, type, esk29_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_250, type, esk30_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_251, type, esk31_2: ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_252, type, esk32_1: ($i > $o) > $i).
% 3.64/0.81 thf(decl_253, type, esk33_1: ($i > $o) > $i).
% 3.64/0.81 thf(decl_254, type, esk34_1: ($i > $o) > $i).
% 3.64/0.81 thf(decl_255, type, esk35_1: ($i > $o) > $i).
% 3.64/0.81 thf(decl_256, type, esk36_2: ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_257, type, esk37_1: ($i > $o) > $i).
% 3.64/0.81 thf(decl_258, type, esk38_2: ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_259, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 3.64/0.81 thf(decl_260, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 3.64/0.81 thf(decl_261, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_262, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 3.64/0.81 thf(decl_263, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_264, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 3.64/0.81 thf(decl_265, type, esk45_2: ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_266, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 3.64/0.81 thf(decl_267, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 3.64/0.81 thf(decl_268, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_269, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_270, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 3.64/0.81 thf(decl_271, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 3.64/0.81 thf(decl_272, type, esk52_2: $i > $i > $i).
% 3.64/0.81 thf(decl_273, type, esk53_2: $i > $i > $i).
% 3.64/0.81 thf(decl_274, type, esk54_2: $i > $i > $i).
% 3.64/0.81 thf(decl_275, type, esk55_2: $i > $i > $i).
% 3.64/0.81 thf(decl_276, type, esk56_2: $i > $i > $i).
% 3.64/0.81 thf(decl_277, type, esk57_2: $i > $i > $i).
% 3.64/0.81 thf(decl_278, type, esk58_2: $i > $i > $i).
% 3.64/0.81 thf(decl_279, type, esk59_3: $i > $i > $i > $i).
% 3.64/0.81 thf(decl_280, type, esk60_3: $i > $i > $i > $i).
% 3.64/0.81 thf(decl_281, type, esk61_3: $i > $i > $i > $i).
% 3.64/0.81 thf(decl_282, type, esk62_3: $i > $i > $i > $i).
% 3.64/0.81 thf(decl_283, type, esk63_2: $i > $i > $i).
% 3.64/0.81 thf(decl_284, type, esk64_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_285, type, esk65_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_286, type, esk66_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_287, type, esk67_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_288, type, esk68_3: $i > ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_289, type, esk69_3: $i > ($i > $o) > $i > $i).
% 3.64/0.81 thf(decl_290, type, esk70_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_291, type, esk71_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_292, type, esk72_2: $i > ($i > $o) > $i).
% 3.64/0.81 thf(decl_293, type, esk73_1: $i > $i).
% 3.64/0.81 thf(decl_294, type, esk74_0: $i).
% 3.64/0.81 thf(decl_295, type, esk75_0: $i).
% 3.64/0.81 thf(decl_296, type, esk76_0: $i).
% 3.64/0.81 thf(decl_297, type, esk77_0: $i).
% 3.64/0.81 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', ex1)).
% 3.64/0.81 thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ X4))&(((X4)=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', singleton)).
% 3.64/0.81 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', replAx)).
% 3.64/0.81 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', exu)).
% 3.64/0.81 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', descrp)).
% 3.64/0.81 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', exuE1)).
% 3.64/0.81 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', exuE3e)).
% 3.64/0.81 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', nonempty)).
% 3.64/0.81 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', nonemptyI)).
% 3.64/0.81 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', exuE2)).
% 3.64/0.81 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.VexAmzyZPN/E---3.1_4049753.p', exuI1)).
% 3.64/0.81 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', exuI3)).
% 3.64/0.81 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', exuI2)).
% 3.64/0.81 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.VexAmzyZPN/E---3.1_4049753.p', exuE3u)).
% 3.64/0.81 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', exu__Cong)).
% 3.64/0.81 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', exuEu)).
% 3.64/0.81 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', descr__Cong)).
% 3.64/0.81 thf(iskpair, axiom, ((iskpair)=(^[X4:$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.VexAmzyZPN/E---3.1_4049753.p', iskpair)).
% 3.64/0.81 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', singletonprop)).
% 3.64/0.81 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', ex1E1)).
% 3.64/0.81 thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', ex1I)).
% 3.64/0.81 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', ex1I2)).
% 3.64/0.81 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', kfstsingleton)).
% 3.64/0.81 thf(setukpairinjR1, 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)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setukpairinjR1)).
% 3.64/0.81 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', dsetconstrI)).
% 3.64/0.81 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', dsetconstrEL)).
% 3.64/0.81 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', dsetconstrER)).
% 3.64/0.81 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setbeta)).
% 3.64/0.81 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', nonemptyE1)).
% 3.64/0.81 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', nonemptyI1)).
% 3.64/0.81 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setoftrueEq)).
% 3.64/0.81 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', nonemptyImpWitness)).
% 3.64/0.81 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.VexAmzyZPN/E---3.1_4049753.p', emptyE1)).
% 3.64/0.81 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', dsetconstr__Cong)).
% 3.64/0.81 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', sepInPowerset)).
% 3.64/0.81 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', sepSubset)).
% 3.64/0.81 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.VexAmzyZPN/E---3.1_4049753.p', kpairiskpair)).
% 3.64/0.81 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', kpairp)).
% 3.64/0.81 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', cartprodmempair)).
% 3.64/0.81 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', theprop)).
% 3.64/0.81 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setextAx)).
% 3.64/0.81 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', emptysetAx)).
% 3.64/0.81 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setadjoinAx)).
% 3.64/0.81 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', powersetAx)).
% 3.64/0.81 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setunionAx)).
% 3.64/0.81 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', omega0Ax)).
% 3.64/0.81 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', omegaSAx)).
% 3.64/0.81 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', omegaIndAx)).
% 3.64/0.81 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', foundationAx)).
% 3.64/0.81 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.VexAmzyZPN/E---3.1_4049753.p', wellorderingAx)).
% 3.64/0.81 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', prop2setE)).
% 3.64/0.81 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', emptysetE)).
% 3.64/0.81 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', emptysetimpfalse)).
% 3.64/0.81 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', notinemptyset)).
% 3.64/0.81 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setext)).
% 3.64/0.81 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', emptyI)).
% 3.64/0.81 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', noeltsimpempty)).
% 3.64/0.81 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setadjoinIL)).
% 3.64/0.81 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', emptyinunitempty)).
% 3.64/0.81 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setadjoinIR)).
% 3.64/0.81 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.VexAmzyZPN/E---3.1_4049753.p', setadjoinE)).
% 3.64/0.81 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setadjoinOr)).
% 3.64/0.81 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', powersetI)).
% 3.64/0.81 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', emptyinPowerset)).
% 3.64/0.81 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', emptyInPowerset)).
% 3.64/0.81 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', powersetE)).
% 3.64/0.81 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setunionI)).
% 3.64/0.81 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.VexAmzyZPN/E---3.1_4049753.p', setunionE)).
% 3.64/0.81 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', subPowSU)).
% 3.64/0.81 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', uniqinunit)).
% 3.64/0.81 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', notinsingleton)).
% 3.64/0.81 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', eqinunit)).
% 3.64/0.81 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', singletonsswitch)).
% 3.64/0.81 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', upairsetE)).
% 3.64/0.81 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', upairsetIL)).
% 3.64/0.81 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', upairsetIR)).
% 3.64/0.81 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', vacuousDall)).
% 3.64/0.81 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', quantDeMorgan1)).
% 3.64/0.81 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', quantDeMorgan2)).
% 3.64/0.81 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', quantDeMorgan3)).
% 3.64/0.81 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', quantDeMorgan4)).
% 3.64/0.81 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', prop2setI)).
% 3.64/0.81 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', prop2set2propI)).
% 3.64/0.81 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', notdexE)).
% 3.64/0.81 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', notdallE)).
% 3.64/0.81 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', inCongP)).
% 3.64/0.81 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', in__Cong)).
% 3.64/0.81 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', emptyset__Cong)).
% 3.64/0.81 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setadjoin__Cong)).
% 3.64/0.81 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', powerset__Cong)).
% 3.64/0.81 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setunion__Cong)).
% 3.64/0.81 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', omega__Cong)).
% 3.64/0.81 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', subsetI1)).
% 3.64/0.81 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', eqimpsubset2)).
% 3.64/0.81 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', eqimpsubset1)).
% 3.64/0.81 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', subsetI2)).
% 3.64/0.81 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', emptysetsubset)).
% 3.64/0.81 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', subsetE)).
% 3.64/0.81 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', subsetE2)).
% 3.64/0.81 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', notsubsetI)).
% 3.64/0.81 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', notequalI1)).
% 3.64/0.81 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', notequalI2)).
% 3.64/0.81 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', subsetRefl)).
% 3.64/0.81 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', subsetTrans)).
% 3.64/0.81 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setadjoinSub)).
% 3.64/0.81 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setadjoinSub2)).
% 3.64/0.81 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', subset2powerset)).
% 3.64/0.81 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setextsub)).
% 3.64/0.81 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', subsetemptysetimpeq)).
% 3.64/0.81 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', powersetI1)).
% 3.64/0.81 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', powersetE1)).
% 3.64/0.81 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', inPowerset)).
% 3.64/0.81 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', powersetsubset)).
% 3.64/0.81 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binunionIL)).
% 3.64/0.81 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', upairset2IR)).
% 3.64/0.81 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binunionIR)).
% 3.64/0.81 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binunionEcases)).
% 3.64/0.81 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binunionE)).
% 3.64/0.81 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binunionLsub)).
% 3.64/0.81 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binunionRsub)).
% 3.64/0.81 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binintersectI)).
% 3.64/0.81 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binintersectSubset5)).
% 3.64/0.81 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binintersectEL)).
% 3.64/0.81 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binintersectLsub)).
% 3.64/0.81 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binintersectSubset2)).
% 3.64/0.81 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binintersectSubset3)).
% 3.64/0.81 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binintersectER)).
% 3.64/0.81 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', disjointsetsI1)).
% 3.64/0.81 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binintersectRsub)).
% 3.64/0.81 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binintersectSubset4)).
% 3.64/0.81 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', binintersectSubset1)).
% 3.64/0.81 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', bs114d)).
% 3.64/0.81 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setminusI)).
% 3.64/0.81 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setminusEL)).
% 3.64/0.81 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setminusER)).
% 3.64/0.81 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setminusSubset2)).
% 3.64/0.81 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setminusERneg)).
% 3.64/0.81 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setminusELneg)).
% 3.64/0.81 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setminusILneg)).
% 3.64/0.81 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setminusIRneg)).
% 3.64/0.81 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setminusLsub)).
% 3.64/0.81 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setminusSubset1)).
% 3.64/0.81 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', symdiffE)).
% 3.64/0.81 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', symdiffI1)).
% 3.64/0.81 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', symdiffI2)).
% 3.64/0.81 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', symdiffIneg1)).
% 3.64/0.81 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', symdiffIneg2)).
% 3.64/0.81 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', secondinupair)).
% 3.64/0.81 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setukpairIL)).
% 3.64/0.81 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setukpairIR)).
% 3.64/0.81 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', singletonsubset)).
% 3.64/0.81 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', singletoninpowerset)).
% 3.64/0.81 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', singletoninpowunion)).
% 3.64/0.81 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', upairset2E)).
% 3.64/0.81 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', upairsubunion)).
% 3.64/0.81 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', upairinpowunion)).
% 3.64/0.81 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', ubforcartprodlem1)).
% 3.64/0.81 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', ubforcartprodlem2)).
% 3.64/0.81 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', ubforcartprodlem3)).
% 3.64/0.81 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', cartprodpairin)).
% 3.64/0.81 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', cartprodmempair1)).
% 3.64/0.81 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setunionE2)).
% 3.64/0.81 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setunionsingleton1)).
% 3.64/0.81 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setunionsingleton2)).
% 3.64/0.81 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setunionsingleton)).
% 3.64/0.81 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', singletonsuniq)).
% 3.64/0.81 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setukpairinjL1)).
% 3.64/0.81 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', kfstpairEq)).
% 3.64/0.81 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', cartprodfstin)).
% 3.64/0.81 thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setukpairinjL2)).
% 3.64/0.81 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setukpairinjL)).
% 3.64/0.81 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setukpairinjR11)).
% 3.64/0.81 thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.VexAmzyZPN/E---3.1_4049753.p', setukpairinjR12)).
% 3.64/0.81 thf(c_0_173, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X514:$i]:((((in @ X514 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X514 @ emptyset))))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 3.64/0.81 thf(c_0_174, plain, ((singleton)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ Z0))&(((Z0)=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[singleton])).
% 3.64/0.81 thf(c_0_175, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 3.64/0.81 thf(c_0_176, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 3.64/0.81 thf(c_0_177, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 3.64/0.81 thf(c_0_178, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 3.64/0.81 thf(c_0_179, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 3.64/0.81 thf(c_0_180, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 3.64/0.81 thf(c_0_181, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 3.64/0.81 thf(c_0_182, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 3.64/0.81 thf(c_0_183, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 3.64/0.81 thf(c_0_184, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 3.64/0.81 thf(c_0_185, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 3.64/0.81 thf(c_0_186, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 3.64/0.81 thf(c_0_187, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 3.64/0.81 thf(c_0_188, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 3.64/0.81 thf(c_0_189, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 3.64/0.81 thf(c_0_190, plain, ((iskpair)=(^[Z0:$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])).
% 3.64/0.81 thf(c_0_191, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 3.64/0.81 thf(c_0_192, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 3.64/0.81 thf(c_0_193, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X514:$i]:((((in @ X514 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X514 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_173, c_0_174])).
% 3.64/0.81 thf(c_0_194, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
% 3.64/0.81 thf(c_0_195, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 3.64/0.81 thf(c_0_196, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 3.64/0.81 thf(c_0_197, 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)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setukpairinjR1])).
% 3.64/0.81 thf(c_0_198, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X479:$i]:(((((X6 @ X2 @ X479)))&(![X480:$i]:(((((X6 @ X2 @ X480)))=>(((X479)=(X480)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_175, c_0_176])).
% 3.64/0.81 thf(c_0_199, plain, ((descrp)=(![X1:$i > $o]:((((?[X481:$i]:(((((X1 @ X481)))&(![X482:$i]:(((((X1 @ X482)))=>(((X481)=(X482))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_177, c_0_176])).
% 3.64/0.81 thf(c_0_200, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 3.64/0.81 thf(c_0_201, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 3.64/0.81 thf(c_0_202, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 3.64/0.81 thf(c_0_203, plain, ((exuE1)=(![X1:$i > $o]:((((?[X483:$i]:(((((X1 @ X483)))&(![X484:$i]:(((((X1 @ X484)))=>(((X483)=(X484))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_178, c_0_176])).
% 3.64/0.81 thf(c_0_204, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X485:$i]:(((((X1 @ X485)))&(![X486:$i]:(((((X1 @ X486)))=>(((X485)=(X486))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_179, c_0_176])).
% 3.64/0.81 thf(c_0_205, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 3.64/0.81 thf(c_0_206, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_180])).
% 3.64/0.81 thf(c_0_207, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_181, c_0_180])).
% 3.64/0.81 thf(c_0_208, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_180])).
% 3.64/0.81 thf(c_0_209, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 3.64/0.81 thf(c_0_210, plain, ((exuE2)=(![X1:$i > $o]:((((?[X487:$i]:(((((X1 @ X487)))&(![X488:$i]:(((((X1 @ X488)))=>(((X487)=(X488))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_182, c_0_176])).
% 3.64/0.81 thf(c_0_211, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_180])).
% 3.64/0.81 thf(c_0_212, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 3.64/0.81 thf(c_0_213, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X489:$i]:(((((X1 @ X489)))&(![X490:$i]:(((((X1 @ X490)))=>(((X489)=(X490)))))))))))))), inference(apply_def,[status(thm)],[c_0_183, c_0_176])).
% 3.64/0.81 thf(c_0_214, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X491:$i]:(((((X1 @ X491)))&(![X492:$i]:(((((X1 @ X492)))=>(((X491)=(X492)))))))))))))))), inference(apply_def,[status(thm)],[c_0_184, c_0_176])).
% 3.64/0.81 thf(c_0_215, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X493:$i]:(((((X1 @ X493)))&(![X494:$i]:(((((X1 @ X494)))=>(((X493)=(X494)))))))))))))), inference(apply_def,[status(thm)],[c_0_185, c_0_176])).
% 3.64/0.81 thf(c_0_216, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X495:$i]:(((((X1 @ X495)))&(![X496:$i]:(((((X1 @ X496)))=>(((X495)=(X496))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_186, c_0_176])).
% 3.64/0.81 thf(c_0_217, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X497:$i]:(((((X1 @ X497)))&(![X498:$i]:(((((X1 @ X498)))=>(((X497)=(X498))))))))))<=>((?[X499:$i]:(((((X17 @ X499)))&(![X500:$i]:(((((X17 @ X500)))=>(((X499)=(X500)))))))))))))))), inference(apply_def,[status(thm)],[c_0_187, c_0_176])).
% 3.64/0.81 thf(c_0_218, plain, ((exuEu)=(![X1:$i > $o]:((((?[X501:$i]:(((((X1 @ X501)))&(![X502:$i]:(((((X1 @ X502)))=>(((X501)=(X502))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_188, c_0_176])).
% 3.64/0.81 thf(c_0_219, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X503:$i]:(((((X1 @ X503)))&(![X504:$i]:(((((X1 @ X504)))=>(((X503)=(X504))))))))))=>((((?[X505:$i]:(((((X17 @ X505)))&(![X506:$i]:(((((X17 @ X506)))=>(((X505)=(X506))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_189, c_0_176])).
% 3.64/0.81 thf(c_0_220, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 3.64/0.81 thf(c_0_221, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 3.64/0.81 thf(c_0_222, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 3.64/0.81 thf(c_0_223, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X507:$i]:((((in @ X507 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(?[X508:$i]:((((in @ X508 @ (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 @ X507 @ emptyset) @ (setadjoin @ (setadjoin @ X507 @ (setadjoin @ X508 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_190])).
% 3.64/0.81 thf(c_0_224, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X509:$i]:((((in @ X509 @ (setunion @ (kpair @ X2 @ X3))))&(?[X510:$i]:((((in @ X510 @ (setunion @ (kpair @ X2 @ X3))))&(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X509 @ emptyset) @ (setadjoin @ (setadjoin @ X509 @ (setadjoin @ X510 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairp, c_0_190])).
% 3.64/0.81 thf(c_0_225, axiom, ((cartprodmempair)=(![X4:$i, X5:$i, X18:$i]:((((in @ X18 @ (cartprod @ X4 @ X5)))=>((?[X511:$i]:((((in @ X511 @ (setunion @ X18)))&(?[X512:$i]:((((in @ X512 @ (setunion @ X18)))&(((X18)=(setadjoin @ (setadjoin @ X511 @ emptyset) @ (setadjoin @ (setadjoin @ X511 @ (setadjoin @ X512 @ emptyset)) @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[cartprodmempair, c_0_190])).
% 3.64/0.81 thf(c_0_226, plain, ((singletonprop)=(![X4:$i, X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))))=>(((?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2)))))=>((?[X513:$i]:((((in @ X513 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(setadjoin @ X513 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_191, c_0_174])).
% 3.64/0.81 thf(c_0_227, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((?[X515:$i]:((((in @ X515 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X515 @ emptyset)))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_192, c_0_193])).
% 3.64/0.81 thf(c_0_228, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>(((![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X3))=>(((X3)=(X2))))))))=>((?[X516:$i]:((((in @ X516 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X516 @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[c_0_194, c_0_193])).
% 3.64/0.81 thf(c_0_229, plain, ((ex1I2)=(![X4:$i, X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))))=>(((?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2)))))=>((?[X517:$i]:((((in @ X517 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X517 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_195, c_0_193])).
% 3.64/0.81 thf(c_0_230, plain, ((kfstsingleton)=(![X18:$i]:((((?[X518:$i]:((((in @ X518 @ (setunion @ X18)))&(?[X519:$i]:((((in @ X519 @ (setunion @ X18)))&(((X18)=(setadjoin @ (setadjoin @ X518 @ emptyset) @ (setadjoin @ (setadjoin @ X518 @ (setadjoin @ X519 @ emptyset)) @ emptyset)))))))))))=>((?[X520:$i]:((((in @ X520 @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))))&(((dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X520 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_196, c_0_190]), c_0_174])).
% 3.64/0.81 thf(c_0_231, axiom, ((theprop)=(![X21:$i]:((((?[X521:$i]:((((in @ X521 @ X21))&(((X21)=(setadjoin @ X521 @ emptyset)))))))=>((in @ (setunion @ X21) @ X21)))))), inference(apply_def,[status(thm)],[theprop, c_0_174])).
% 3.64/0.81 thf(c_0_232, plain, ((epred1_0)<=>![X551:$i]:(?[X552:$i]:((((![X553:$i]:(((in @ X553 @ X552)=>![X554:$i]:(((in @ X554 @ X553)=>(in @ X554 @ X551)))))&![X555:$i, X556:$i]:((((in @ X555 @ X551)&(in @ X556 @ X551))=>(![X557:$i]:(((in @ X557 @ X552)=>((in @ X555 @ X557)<=>(in @ X556 @ X557))))=>((X555)=(X556))))))&![X558:$i, X559:$i]:((((in @ X558 @ X552)&(in @ X559 @ X552))=>(![X560:$i]:(((in @ X560 @ X558)=>(in @ X560 @ X559)))|![X561:$i]:(((in @ X561 @ X559)=>(in @ X561 @ X558)))))))&![X562:$i]:(((![X563:$i]:(((in @ X563 @ X562)=>(in @ X563 @ X551)))&?[X564:$i]:((in @ X564 @ X562)))=>?[X565:$i, X566:$i]:(((((in @ X565 @ X552)&(in @ X566 @ X562))&~(?[X567:$i]:(((in @ X567 @ X565)&(in @ X567 @ X562)))))&![X568:$i]:(((in @ X568 @ X552)=>(![X569:$i]:(((in @ X569 @ X568)=>(in @ X569 @ X565)))|(in @ X566 @ X568)))))))))))), introduced(definition)).
% 3.64/0.81 thf(c_0_233, negated_conjecture, ~((![X522:$i, X523:$i]:((![X524:$i]:(((in @ X524 @ X522)<=>(in @ X524 @ X523)))=>((X522)=(X523))))=>(![X525:$i]:(~(in @ X525 @ emptyset))=>(![X526:$i, X527:$i, X528:$i]:(((in @ X528 @ (setadjoin @ X526 @ X527))<=>(((X528)=(X526))|(in @ X528 @ X527))))=>(![X529:$i, X530:$i]:(((in @ X530 @ (powerset @ X529))<=>![X531:$i]:(((in @ X531 @ X530)=>(in @ X531 @ X529)))))=>(![X532:$i, X533:$i]:(((in @ X533 @ (setunion @ X532))<=>?[X534:$i]:(((in @ X533 @ X534)&(in @ X534 @ X532)))))=>((in @ emptyset @ omega)=>(![X535:$i]:(((in @ X535 @ omega)=>(in @ (setadjoin @ X535 @ X535) @ omega)))=>(![X536:$i]:((((in @ emptyset @ X536)&![X537:$i]:((((in @ X537 @ omega)&(in @ X537 @ X536))=>(in @ (setadjoin @ X537 @ X537) @ X536))))=>![X538:$i]:(((in @ X538 @ omega)=>(in @ X538 @ X536)))))=>(![X539:$i > $i > $o, X540:$i]:((![X541:$i]:(((in @ X541 @ X540)=>?[X542:$i]:(((X539 @ X541 @ X542)&![X543:$i]:(((X539 @ X541 @ X543)=>((X542)=(X543))))))))=>?[X544:$i]:(![X545:$i]:(((in @ X545 @ X544)<=>?[X546:$i]:(((in @ X546 @ X540)&(X539 @ X546 @ X545))))))))=>(![X547:$i]:((?[X548:$i]:((in @ X548 @ X547))=>?[X549:$i]:(((in @ X549 @ X547)&~(?[X550:$i]:(((in @ X550 @ X549)&(in @ X550 @ X547))))))))=>((epred1_0)=>(![X570:$i > $o]:((?[X571:$i]:(((X570 @ X571)&![X572:$i]:(((X570 @ X572)=>((X571)=(X572))))))=>(X570 @ (descr @ (^[Z0:$i]:(X570 @ Z0))))))=>(![X573:$i, X574:$i > $o, X575:$i]:(((in @ X575 @ X573)=>((X574 @ X575)=>(in @ X575 @ (dsetconstr @ X573 @ X574)))))=>(![X576:$i, X577:$i > $o, X578:$i]:(((in @ X578 @ (dsetconstr @ X576 @ X577))=>(in @ X578 @ X576)))=>(![X579:$i, X580:$i > $o, X581:$i]:(((in @ X581 @ (dsetconstr @ X579 @ X580))=>(X580 @ X581)))=>(![X582:$i > $o]:((?[X583:$i]:(((X582 @ X583)&![X584:$i]:(((X582 @ X584)=>((X583)=(X584))))))=>?[X585:$i]:(((X582 @ X585)&![X586:$i]:(((X582 @ X586)=>((X585)=(X586))))))))=>(![X587:$o, X588:$i]:(((in @ X588 @ (prop2set @ ((X587))))=>(X587)))=>(![X589:$i]:(((in @ X589 @ emptyset)=>![X590:$o]:((X590))))=>(![X591:$i]:(((in @ X591 @ emptyset)=>~($true)))=>(![X592:$i]:(~(in @ X592 @ emptyset))=>(![X593:$i > $o]:((?[X594:$i]:(((X593 @ X594)&![X595:$i]:(((X593 @ X595)=>((X594)=(X595))))))=>?[X596:$i]:((X593 @ X596))))=>(![X597:$i, X598:$i]:((![X599:$i]:(((in @ X599 @ X597)=>(in @ X599 @ X598)))=>(![X600:$i]:(((in @ X600 @ X598)=>(in @ X600 @ X597)))=>((X597)=(X598)))))=>(![X601:$i]:((![X602:$i]:(~(in @ X602 @ X601))=>((X601)=(emptyset))))=>(![X603:$i]:((![X604:$i]:(~(in @ X604 @ X603))=>((X603)=(emptyset))))=>(![X605:$i, X606:$i > $o, X607:$i]:(((in @ X607 @ X605)=>((in @ X607 @ (dsetconstr @ X605 @ X606))<=>(X606 @ X607))))=>(![X608:$i]:((((X608)!=(emptyset))=>?[X609:$i]:((in @ X609 @ X608))))=>(![X610:$i, X611:$i > $o, X612:$i]:(((in @ X612 @ X610)=>((X611 @ X612)=>((dsetconstr @ X610 @ X611)!=(emptyset)))))=>(![X613:$i]:((?[X614:$i]:((in @ X614 @ X613))=>((X613)!=(emptyset))))=>(![X615:$i, X616:$i]:((in @ X615 @ (setadjoin @ X615 @ X616)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X617:$i, X618:$i, X619:$i]:(((in @ X619 @ X618)=>(in @ X619 @ (setadjoin @ X617 @ X618))))=>(![X620:$i, X621:$i, X622:$i]:(((in @ X622 @ (setadjoin @ X620 @ X621))=>![X623:$o]:(((((X622)=(X620))=>(X623))=>(((in @ X622 @ X621)=>(X623))=>(X623))))))=>(![X624:$i, X625:$i, X626:$i]:(((in @ X626 @ (setadjoin @ X624 @ X625))=>(((X626)=(X624))|(in @ X626 @ X625))))=>(![X627:$i]:(((dsetconstr @ X627 @ (^[Z0:$i]:($true)))=(X627)))=>(![X628:$i, X629:$i]:((![X630:$i]:(((in @ X630 @ X629)=>(in @ X630 @ X628)))=>(in @ X629 @ (powerset @ X628))))=>(![X631:$i]:((in @ emptyset @ (powerset @ X631)))=>(![X632:$i]:((in @ emptyset @ (powerset @ X632)))=>(![X633:$i, X634:$i, X635:$i]:(((in @ X634 @ (powerset @ X633))=>((in @ X635 @ X634)=>(in @ X635 @ X633))))=>(![X636:$i, X637:$i, X638:$i]:(((in @ X637 @ X638)=>((in @ X638 @ X636)=>(in @ X637 @ (setunion @ X636)))))=>(![X639:$i, X640:$i]:(((in @ X640 @ (setunion @ X639))=>![X641:$o]:((![X642:$i]:(((in @ X640 @ X642)=>((in @ X642 @ X639)=>(X641))))=>(X641)))))=>(![X643:$i, X644:$i]:(((in @ X644 @ X643)=>(in @ X644 @ (powerset @ (setunion @ X643)))))=>(![X645:$i > $o]:((?[X646:$i]:(((X645 @ X646)&![X647:$i]:(((X645 @ X647)=>((X646)=(X647))))))=>?[X648:$i]:(![X649:$i]:(((X645 @ X649)<=>((X649)=(X648)))))))=>(![X650:$i]:((((X650)!=(emptyset))=>?[X651:$i]:(((in @ X651 @ X650)&$true))))=>(![X652:$i, X653:$i]:(((in @ X652 @ (setadjoin @ X653 @ emptyset))=>((X652)=(X653))))=>(![X654:$i, X655:$i]:((((X654)!=(X655))=>~(in @ X655 @ (setadjoin @ X654 @ emptyset))))=>(![X656:$i, X657:$i]:((((X656)=(X657))=>(in @ X656 @ (setadjoin @ X657 @ emptyset))))=>(![X658:$i, X659:$i]:(((in @ X658 @ (setadjoin @ X659 @ emptyset))=>(in @ X659 @ (setadjoin @ X658 @ emptyset))))=>(![X660:$i, X661:$i, X662:$i]:(((in @ X662 @ (setadjoin @ X660 @ (setadjoin @ X661 @ emptyset)))=>(((X662)=(X660))|((X662)=(X661)))))=>(![X663:$i, X664:$i]:((in @ X663 @ (setadjoin @ X663 @ (setadjoin @ X664 @ emptyset))))=>(![X665:$i, X666:$i]:((in @ X666 @ (setadjoin @ X665 @ (setadjoin @ X666 @ emptyset))))=>(![X667:$i, X668:$i > $o]:((?[X669:$i]:(((in @ X669 @ X667)&(X668 @ X669)))=>(((dsetconstr @ X667 @ X668)=(emptyset))=>~($true))))=>(![X670:$i > $o, X671:$i]:(((in @ X671 @ emptyset)=>(X670 @ X671)))=>(![X672:$i, X673:$i > $o]:((~(![X674:$i]:(((in @ X674 @ X672)=>(X673 @ X674))))=>?[X675:$i]:(((in @ X675 @ X672)&~((X673 @ X675))))))=>(![X676:$i, X677:$i > $o]:((![X678:$i]:(((in @ X678 @ X676)=>~((X677 @ X678))))=>~(?[X679:$i]:(((in @ X679 @ X676)&(X677 @ X679))))))=>(![X680:$i, X681:$i > $o]:((~(?[X682:$i]:(((in @ X682 @ X680)&(X681 @ X682))))=>![X683:$i]:(((in @ X683 @ X680)=>~((X681 @ X683))))))=>(![X684:$i, X685:$i > $o]:((?[X686:$i]:(((in @ X686 @ X684)&~((X685 @ X686))))=>~(![X687:$i]:(((in @ X687 @ X684)=>(X685 @ X687))))))=>(![X688:$o]:(((X688)=>(in @ emptyset @ (prop2set @ ((X688))))))=>(![X689:$o]:(((X689)=>(set2prop @ (prop2set @ ((X689))))))=>(![X690:$i, X691:$i > $o]:((~(?[X692:$i]:(((in @ X692 @ X690)&(X691 @ X692))))=>![X693:$i]:(((in @ X693 @ X690)=>~((X691 @ X693))))))=>(![X694:$i, X695:$i > $o]:((~(![X696:$i]:(((in @ X696 @ X694)=>(X695 @ X696))))=>?[X697:$i]:(((in @ X697 @ X694)&~((X695 @ X697))))))=>(![X698:$i > $o]:((?[X699:$i]:(((X698 @ X699)&![X700:$i]:(((X698 @ X700)=>((X699)=(X700))))))=>?[X701:$i]:(((X698 @ X701)&![X702:$i]:(((X698 @ X702)=>((X701)=(X702))))))))=>(![X703:$i > $o]:((?[X704:$i]:((X703 @ X704))=>(![X705:$i, X706:$i]:(((X703 @ X705)=>((X703 @ X706)=>((X705)=(X706)))))=>?[X707:$i]:(((X703 @ X707)&![X708:$i]:(((X703 @ X708)=>((X707)=(X708)))))))))=>(![X709:$i > $o]:((?[X710:$i]:(![X711:$i]:(((X709 @ X711)<=>((X711)=(X710)))))=>?[X712:$i]:(((X709 @ X712)&![X713:$i]:(((X709 @ X713)=>((X712)=(X713))))))))=>(![X714:$i, X715:$i]:((((X714)=(X715))=>![X716:$i, X717:$i]:((((X716)=(X717))=>((in @ X716 @ X714)=>(in @ X717 @ X715))))))=>(![X718:$i, X719:$i]:((((X718)=(X719))=>![X720:$i, X721:$i]:((((X720)=(X721))=>((in @ X720 @ X718)<=>(in @ X721 @ X719))))))=>(![X722:$i > $o]:((?[X723:$i]:(((X722 @ X723)&![X724:$i]:(((X722 @ X724)=>((X723)=(X724))))))=>![X725:$i, X726:$i]:(((X722 @ X725)=>((X722 @ X726)=>((X725)=(X726)))))))=>(![X727:$i > $o, X728:$i > $o]:((![X729:$i, X730:$i]:((((X729)=(X730))=>((X727 @ X729)<=>(X728 @ X730))))=>(?[X731:$i]:(((X727 @ X731)&![X732:$i]:(((X727 @ X732)=>((X731)=(X732))))))<=>?[X733:$i]:(((X728 @ X733)&![X734:$i]:(((X728 @ X734)=>((X733)=(X734)))))))))=>(((emptyset)=(emptyset))=>(![X735:$i, X736:$i]:((((X735)=(X736))=>![X737:$i, X738:$i]:((((X737)=(X738))=>((setadjoin @ X735 @ X737)=(setadjoin @ X736 @ X738))))))=>(![X739:$i, X740:$i]:((((X739)=(X740))=>((powerset @ X739)=(powerset @ X740))))=>(![X741:$i, X742:$i]:((((X741)=(X742))=>((setunion @ X741)=(setunion @ X742))))=>(((omega)=(omega))=>(![X743:$i > $o]:((?[X744:$i]:(((X743 @ X744)&![X745:$i]:(((X743 @ X745)=>((X744)=(X745))))))=>![X746:$i, X747:$i]:(((X743 @ X746)=>((X743 @ X747)=>((X746)=(X747)))))))=>(![X748:$i > $o, X749:$i > $o]:((![X750:$i, X751:$i]:((((X750)=(X751))=>((X748 @ X750)<=>(X749 @ X751))))=>(?[X752:$i]:(((X748 @ X752)&![X753:$i]:(((X748 @ X753)=>((X752)=(X753))))))=>(?[X754:$i]:(((X749 @ X754)&![X755:$i]:(((X749 @ X755)=>((X754)=(X755))))))=>((descr @ X748)=(descr @ X749))))))=>(![X756:$i, X757:$i]:((((X756)=(X757))=>![X758:$i > $o, X759:$i > $o]:((![X760:$i]:(((in @ X760 @ X756)=>![X761:$i]:(((in @ X761 @ X757)=>(((X760)=(X761))=>((X758 @ X760)<=>(X759 @ X761)))))))=>((dsetconstr @ X756 @ X758)=(dsetconstr @ X757 @ X759))))))=>(![X762:$i, X763:$i]:((![X764:$i]:(((in @ X764 @ X762)=>(in @ X764 @ X763)))=>(subset @ X762 @ X763)))=>(![X765:$i, X766:$i]:((((X765)=(X766))=>(subset @ X766 @ X765)))=>(![X767:$i, X768:$i]:((((X767)=(X768))=>(subset @ X767 @ X768)))=>(![X769:$i, X770:$i]:((![X771:$i]:(((in @ X771 @ X769)=>(in @ X771 @ X770)))=>(subset @ X769 @ X770)))=>(![X772:$i]:((subset @ emptyset @ X772))=>(![X773:$i, X774:$i, X775:$i]:(((subset @ X773 @ X774)=>((in @ X775 @ X773)=>(in @ X775 @ X774))))=>(![X776:$i, X777:$i, X778:$i]:(((subset @ X776 @ X777)=>(~(in @ X778 @ X777)=>~(in @ X778 @ X776))))=>(![X779:$i, X780:$i, X781:$i]:(((in @ X781 @ X779)=>(~(in @ X781 @ X780)=>~(subset @ X779 @ X780))))=>(![X782:$i, X783:$i]:((~(subset @ X782 @ X783)=>((X782)!=(X783))))=>(![X784:$i, X785:$i, X786:$i]:(((in @ X786 @ X784)=>(~(in @ X786 @ X785)=>((X784)!=(X785)))))=>(![X787:$i]:((subset @ X787 @ X787))=>(![X788:$i, X789:$i, X790:$i]:(((subset @ X788 @ X789)=>((subset @ X789 @ X790)=>(subset @ X788 @ X790))))=>(![X791:$i, X792:$i]:((subset @ X792 @ (setadjoin @ X791 @ X792)))=>(![X793:$i, X794:$i, X795:$i]:(((subset @ X793 @ X795)=>(subset @ X793 @ (setadjoin @ X794 @ X795))))=>(![X796:$i, X797:$i]:(((subset @ X796 @ X797)=>(in @ X796 @ (powerset @ X797))))=>(![X798:$i, X799:$i]:(((subset @ X798 @ X799)=>((subset @ X799 @ X798)=>((X798)=(X799)))))=>(![X800:$i]:(((subset @ X800 @ emptyset)=>((X800)=(emptyset))))=>(![X801:$i, X802:$i]:(((subset @ X802 @ X801)=>(in @ X802 @ (powerset @ X801))))=>(![X803:$i, X804:$i]:(((in @ X804 @ (powerset @ X803))=>(subset @ X804 @ X803)))=>(![X805:$i]:((in @ X805 @ (powerset @ X805)))=>(![X806:$i, X807:$i]:(((subset @ X806 @ X807)=>(subset @ (powerset @ X806) @ (powerset @ X807))))=>(![X808:$i, X809:$i > $o]:((in @ (dsetconstr @ X808 @ X809) @ (powerset @ X808)))=>(![X810:$i, X811:$i > $o]:((subset @ (dsetconstr @ X810 @ X811) @ X810))=>(![X812:$i, X813:$i, X814:$i]:(((in @ X814 @ X812)=>(in @ X814 @ (binunion @ X812 @ X813))))=>(![X815:$i, X816:$i]:((in @ X816 @ (setadjoin @ X815 @ (setadjoin @ X816 @ emptyset))))=>(![X817:$i, X818:$i, X819:$i]:(((in @ X819 @ X818)=>(in @ X819 @ (binunion @ X817 @ X818))))=>(![X820:$i, X821:$i, X822:$i, X823:$o]:(((in @ X822 @ (binunion @ X820 @ X821))=>(((in @ X822 @ X820)=>(X823))=>(((in @ X822 @ X821)=>(X823))=>(X823)))))=>(![X824:$i, X825:$i, X826:$i]:(((in @ X826 @ (binunion @ X824 @ X825))=>((in @ X826 @ X824)|(in @ X826 @ X825))))=>(![X827:$i, X828:$i]:((subset @ X827 @ (binunion @ X827 @ X828)))=>(![X829:$i, X830:$i]:((subset @ X830 @ (binunion @ X829 @ X830)))=>(![X831:$i, X832:$i, X833:$i]:(((in @ X833 @ X831)=>((in @ X833 @ X832)=>(in @ X833 @ (binintersect @ X831 @ X832)))))=>(![X834:$i, X835:$i, X836:$i]:(((subset @ X836 @ X834)=>((subset @ X836 @ X835)=>(subset @ X836 @ (binintersect @ X834 @ X835)))))=>(![X837:$i, X838:$i, X839:$i]:(((in @ X839 @ (binintersect @ X837 @ X838))=>(in @ X839 @ X837)))=>(![X840:$i, X841:$i]:((subset @ (binintersect @ X840 @ X841) @ X840))=>(![X842:$i, X843:$i]:(((subset @ X842 @ X843)=>((binintersect @ X842 @ X843)=(X842))))=>(![X844:$i, X845:$i]:((((binintersect @ X844 @ X845)=(X845))=>(subset @ X845 @ X844)))=>(![X846:$i, X847:$i, X848:$i]:(((in @ X848 @ (binintersect @ X846 @ X847))=>(in @ X848 @ X847)))=>(![X849:$i, X850:$i]:((~(?[X851:$i]:(((in @ X851 @ X849)&(in @ X851 @ X850))))=>((binintersect @ X849 @ X850)=(emptyset))))=>(![X852:$i, X853:$i]:((subset @ (binintersect @ X852 @ 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c_0_218]), c_0_219]), c_0_220]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_221]), c_0_222]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), c_0_223]), c_0_224]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), c_0_225]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_226]), c_0_227]), c_0_228]), c_0_229]), singletonsuniq]), setukpairinjL1]), c_0_230]), c_0_231]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12])])]), c_0_232])).
% 3.64/0.81 thf(c_0_234, negated_conjecture, ![X1021:$i, X1022:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1034:$i, X1035:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1043:$i, X1044:$i > $i > $o, X1045:$i, X1047:$i, X1050:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1057:$i, X1058:$i > $o, X1059:$i, X1061:$i, X1062:$i > $o, X1063:$i, X1064:$i, X1065:$i > $o, X1066:$i, X1067:$i, X1068:$i > $o, X1069:$i, X1070:$i > $o, X1071:$i, X1074:$i, X1075:$o, X1076:$i, X1077:$i, X1078:$o, X1079:$i, X1080:$i, X1081:$i > $o, X1082:$i, X1085:$i, X1086:$i, X1089:$i, X1091:$i, X1093:$i, X1094:$i > $o, X1095:$i, X1096:$i, X1098:$i, X1099:$i > $o, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$o, X1112:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i, X1124:$i, X1125:$i, X1126:$i, X1127:$i, X1128:$i, X1129:$o, X1131:$i, X1132:$i, X1133:$i > $o, X1134:$i, X1137:$i, X1138:$i, X1139:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i > $o, X1158:$i, X1159:$i > $o, X1160:$i, X1161:$i, X1162:$i > $o, X1163:$i, X1165:$i, X1166:$i > $o, X1168:$i, X1169:$i, X1170:$i > $o, X1172:$i, X1173:$i, X1174:$i > $o, X1175:$i, X1177:$o, X1178:$o, X1179:$i, X1180:$i > $o, X1182:$i, X1183:$i, X1184:$i > $o, X1185:$i, X1187:$i > $o, X1188:$i, X1191:$i, X1192:$i > $o, X1193:$i, X1197:$i, X1198:$i > $o, X1199:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i > $o, X1212:$i, X1214:$i, X1215:$i, X1216:$i > $o, X1217:$i > $o, X1220:$i, X1223:$i, X1224:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i > $o, X1237:$i, X1239:$i, X1240:$i, X1241:$i > $o, X1242:$i > $o, X1245:$i, X1247:$i, X1249:$i, X1250:$i, X1251:$i > $o, X1252:$i > $o, X1255:$i, X1256:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1279:$i, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1287:$i, X1288:$i, X1289:$i, X1290:$i, X1291:$i, X1292:$i, X1293:$i, X1294:$i, X1295:$i, X1296:$i, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1302:$i > $o, X1303:$i, X1304:$i > $o, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$o, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1342:$i, X1343:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i, X1368:$i, X1369:$i, X1370:$i, X1371:$i, X1372:$i, X1373:$i, X1374:$i, X1375:$i, X1376:$i, X1377:$i, X1378:$i, X1379:$i, X1380:$i, X1381:$i, X1382:$i, X1383:$i, X1384:$o, X1385:$i, X1386:$i, X1387:$i, X1388:$i, X1389:$i, X1390:$i, X1391:$i, X1392:$i, X1393:$i, X1394:$i, X1395:$i, X1396:$i, X1397:$i, X1398:$i, X1399:$i, X1400:$i, X1401:$i, X1402:$i, X1403:$i, X1404:$i, X1407:$i, X1408:$i, X1411:$i, X1412:$i, X1413:$i, X1414:$i, X1415:$i, X1416:$i, X1417:$i, X1418:$i, X1419:$i, X1420:$i, X1421:$i, X1422:$i, X1423:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$i, X1430:$i, X1431:$i, X1432:$i, X1433:$i, X1434:$i, X1435:$i, X1436:$i, X1437:$i, X1438:$i, X1439:$i, X1440:$i, X1441:$i, X1442:$i, X1443:$i, X1444:$i, X1445:$i, X1446:$i, X1447:$i, X1450:$i, X1451:$i, X1452:$i, X1455:$i, X1456:$i, X1458:$i, X1459:$i, X1460:$i, X1461:$i, X1462:$i > $o, X1465:$i, X1467:$i, X1468:$i > $o, X1469:$i, X1471:$i, X1472:$i > $o, X1473:$i, X1476:$i, X1477:$i > $o, X1480:$i, X1482:$i, X1483:$i, X1484:$i, X1485:$i, X1486:$i, X1487:$i, X1488:$i, X1489:$i, X1491:$i, X1492:$i, X1493:$i, X1494:$i, X1495:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i, X1501:$i, X1502:$i, X1503:$i, X1504:$i, X1505:$i, X1506:$i, X1507:$i, X1508:$i, X1509:$i]:((((~(in @ (esk1_2 @ X1021 @ X1022) @ X1021)|~(in @ (esk1_2 @ X1021 @ X1022) @ X1022)|((X1021)=(X1022)))&((in @ (esk1_2 @ X1021 @ X1022) @ X1021)|(in @ (esk1_2 @ X1021 @ X1022) @ X1022)|((X1021)=(X1022))))&(~(in @ X1024 @ emptyset)&(((~(in @ X1027 @ (setadjoin @ X1025 @ X1026))|(((X1027)=(X1025))|(in @ X1027 @ X1026)))&((((X1027)!=(X1025))|(in @ X1027 @ (setadjoin @ X1025 @ X1026)))&(~(in @ X1027 @ X1026)|(in @ X1027 @ (setadjoin @ X1025 @ X1026)))))&(((~(in @ X1029 @ (powerset @ X1028))|(~(in @ X1030 @ X1029)|(in @ X1030 @ X1028)))&(((in @ (esk2_2 @ X1031 @ X1032) @ X1032)|(in @ X1032 @ (powerset @ X1031)))&(~(in @ (esk2_2 @ X1031 @ X1032) @ X1031)|(in @ X1032 @ (powerset @ X1031)))))&(((((in @ X1035 @ (esk3_2 @ X1034 @ X1035))|~(in @ X1035 @ (setunion @ X1034)))&((in @ (esk3_2 @ X1034 @ X1035) @ X1034)|~(in @ X1035 @ (setunion @ X1034))))&(~(in @ X1038 @ X1039)|~(in @ X1039 @ X1037)|(in @ X1038 @ (setunion @ X1037))))&((in @ emptyset @ omega)&((~(in @ X1040 @ omega)|(in @ (setadjoin @ X1040 @ X1040) @ omega))&(((((in @ (esk4_1 @ X1041) @ omega)|~(in @ emptyset @ X1041)|(~(in @ X1043 @ omega)|(in @ X1043 @ X1041)))&((in @ (esk4_1 @ X1041) @ X1041)|~(in @ emptyset @ X1041)|(~(in @ X1043 @ omega)|(in @ X1043 @ X1041))))&(~(in @ (setadjoin @ (esk4_1 @ X1041) @ (esk4_1 @ X1041)) @ X1041)|~(in @ emptyset @ X1041)|(~(in @ X1043 @ omega)|(in @ X1043 @ X1041))))&((((((in @ (esk8_3 @ X1044 @ X1045 @ X1050) @ X1045)|~(in @ X1050 @ (esk7_2 @ X1044 @ X1045))|(in @ (esk5_2 @ X1044 @ X1045) @ X1045))&((X1044 @ (esk8_3 @ X1044 @ X1045 @ X1050) @ X1050)|~(in @ X1050 @ (esk7_2 @ X1044 @ X1045))|(in @ (esk5_2 @ X1044 @ X1045) @ X1045)))&(~(in @ X1053 @ X1045)|~(X1044 @ X1053 @ X1052)|(in @ X1052 @ (esk7_2 @ X1044 @ X1045))|(in @ (esk5_2 @ X1044 @ X1045) @ X1045)))&(((((in @ (esk8_3 @ X1044 @ X1045 @ X1050) @ X1045)|~(in @ X1050 @ (esk7_2 @ X1044 @ X1045))|((X1044 @ (esk5_2 @ X1044 @ X1045) @ (esk6_3 @ X1044 @ X1045 @ X1047))|~(X1044 @ (esk5_2 @ X1044 @ X1045) @ X1047)))&((X1044 @ (esk8_3 @ X1044 @ X1045 @ X1050) @ X1050)|~(in @ X1050 @ (esk7_2 @ X1044 @ X1045))|((X1044 @ (esk5_2 @ X1044 @ X1045) @ (esk6_3 @ X1044 @ X1045 @ X1047))|~(X1044 @ (esk5_2 @ X1044 @ X1045) @ X1047))))&(~(in @ X1053 @ X1045)|~(X1044 @ X1053 @ X1052)|(in @ X1052 @ (esk7_2 @ X1044 @ X1045))|((X1044 @ (esk5_2 @ X1044 @ X1045) @ (esk6_3 @ X1044 @ X1045 @ X1047))|~(X1044 @ (esk5_2 @ X1044 @ X1045) @ X1047))))&((((in @ (esk8_3 @ X1044 @ X1045 @ X1050) @ X1045)|~(in @ X1050 @ (esk7_2 @ X1044 @ X1045))|(((X1047)!=(esk6_3 @ X1044 @ X1045 @ X1047))|~(X1044 @ (esk5_2 @ X1044 @ X1045) @ X1047)))&((X1044 @ (esk8_3 @ X1044 @ X1045 @ X1050) @ X1050)|~(in @ X1050 @ (esk7_2 @ X1044 @ X1045))|(((X1047)!=(esk6_3 @ X1044 @ X1045 @ X1047))|~(X1044 @ (esk5_2 @ X1044 @ X1045) @ X1047))))&(~(in @ X1053 @ X1045)|~(X1044 @ X1053 @ X1052)|(in @ X1052 @ (esk7_2 @ X1044 @ X1045))|(((X1047)!=(esk6_3 @ X1044 @ X1045 @ X1047))|~(X1044 @ (esk5_2 @ X1044 @ X1045) @ X1047))))))&((((in @ (esk9_1 @ X1054) @ X1054)|~(in @ X1055 @ X1054))&(~(in @ X1057 @ (esk9_1 @ X1054))|~(in @ X1057 @ X1054)|~(in @ X1055 @ X1054)))&((epred1_0)&((((X1058 @ (esk10_2 @ X1058 @ X1059))|~(X1058 @ X1059)|(X1058 @ (descr @ X1058)))&(((X1059)!=(esk10_2 @ X1058 @ X1059))|~(X1058 @ X1059)|(X1058 @ (descr @ X1058))))&((~(in @ X1063 @ X1061)|(~(X1062 @ X1063)|(in @ X1063 @ (dsetconstr @ X1061 @ X1062))))&((~(in @ X1066 @ (dsetconstr @ X1064 @ X1065))|(in @ X1066 @ X1064))&((~(in @ X1069 @ (dsetconstr @ X1067 @ X1068))|(X1068 @ X1069))&(((((X1070 @ (esk12_1 @ X1070))|((X1070 @ (esk11_2 @ X1070 @ X1071))|~(X1070 @ X1071)))&(~(X1070 @ X1074)|((esk12_1 @ X1070)=(X1074))|((X1070 @ (esk11_2 @ X1070 @ X1071))|~(X1070 @ X1071))))&(((X1070 @ (esk12_1 @ X1070))|(((X1071)!=(esk11_2 @ X1070 @ X1071))|~(X1070 @ X1071)))&(~(X1070 @ X1074)|((esk12_1 @ X1070)=(X1074))|(((X1071)!=(esk11_2 @ X1070 @ X1071))|~(X1070 @ X1071)))))&((~(in @ X1076 @ (prop2set @ ((X1075))))|(X1075))&((~(in @ X1077 @ emptyset)|(X1078))&((~(in @ X1079 @ emptyset)|~($true))&(~(in @ X1080 @ emptyset)&((((X1081 @ (esk13_2 @ X1081 @ X1082))|~(X1081 @ X1082)|(X1081 @ (esk14_1 @ X1081)))&(((X1082)!=(esk13_2 @ X1081 @ X1082))|~(X1081 @ X1082)|(X1081 @ (esk14_1 @ X1081))))&(((((in @ (esk16_2 @ X1085 @ X1086) @ X1086)|((X1085)=(X1086))|(in @ (esk15_2 @ X1085 @ X1086) @ X1085))&(~(in @ (esk16_2 @ X1085 @ X1086) @ X1085)|((X1085)=(X1086))|(in @ (esk15_2 @ X1085 @ X1086) @ X1085)))&(((in @ (esk16_2 @ X1085 @ X1086) @ X1086)|((X1085)=(X1086))|~(in @ (esk15_2 @ X1085 @ X1086) @ X1086))&(~(in @ (esk16_2 @ X1085 @ X1086) @ X1085)|((X1085)=(X1086))|~(in @ (esk15_2 @ X1085 @ X1086) @ X1086))))&(((in @ (esk17_1 @ X1089) @ X1089)|((X1089)=(emptyset)))&(((in @ (esk18_1 @ X1091) @ X1091)|((X1091)=(emptyset)))&(((~(in @ X1095 @ (dsetconstr @ X1093 @ X1094))|(X1094 @ X1095)|~(in @ X1095 @ X1093))&(~(X1094 @ X1095)|(in @ X1095 @ (dsetconstr @ X1093 @ X1094))|~(in @ X1095 @ X1093)))&((((X1096)=(emptyset))|(in @ (esk19_1 @ X1096) @ X1096))&((~(in @ X1100 @ X1098)|(~(X1099 @ X1100)|((dsetconstr @ X1098 @ X1099)!=(emptyset))))&((~(in @ X1102 @ X1101)|((X1101)!=(emptyset)))&((in @ X1103 @ (setadjoin @ X1103 @ X1104))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1107 @ X1106)|(in @ X1107 @ (setadjoin @ X1105 @ X1106)))&(((((in @ X1110 @ X1109)|(X1111)|((X1110)=(X1108))|~(in @ X1110 @ (setadjoin @ X1108 @ X1109)))&(~(X1111)|(X1111)|((X1110)=(X1108))|~(in @ X1110 @ (setadjoin @ X1108 @ X1109))))&(((in @ X1110 @ X1109)|(X1111)|~(X1111)|~(in @ X1110 @ (setadjoin @ X1108 @ X1109)))&(~(X1111)|(X1111)|~(X1111)|~(in @ X1110 @ (setadjoin @ X1108 @ X1109)))))&((~(in @ X1114 @ (setadjoin @ X1112 @ X1113))|(((X1114)=(X1112))|(in @ X1114 @ X1113)))&(((dsetconstr @ X1115 @ (^[Z0:$i]:($true)))=(X1115))&((((in @ (esk20_2 @ X1116 @ X1117) @ X1117)|(in @ X1117 @ (powerset @ X1116)))&(~(in @ (esk20_2 @ X1116 @ X1117) @ X1116)|(in @ X1117 @ (powerset @ X1116))))&((in @ emptyset @ (powerset @ X1119))&((in @ emptyset @ (powerset @ X1120))&((~(in @ X1122 @ (powerset @ X1121))|(~(in @ X1123 @ X1122)|(in @ X1123 @ X1121)))&((~(in @ X1125 @ X1126)|(~(in @ X1126 @ X1124)|(in @ X1125 @ (setunion @ X1124))))&((((in @ X1128 @ (esk21_3 @ X1127 @ X1128 @ X1129))|(X1129)|~(in @ X1128 @ (setunion @ X1127)))&(((in @ (esk21_3 @ X1127 @ X1128 @ X1129) @ X1127)|(X1129)|~(in @ X1128 @ (setunion @ X1127)))&(~(X1129)|(X1129)|~(in @ X1128 @ (setunion @ X1127)))))&((~(in @ X1132 @ X1131)|(in @ X1132 @ (powerset @ (setunion @ X1131))))&((((~(X1133 @ X1137)|((X1137)=(esk23_1 @ X1133))|((X1133 @ (esk22_2 @ X1133 @ X1134))|~(X1133 @ X1134)))&(((X1138)!=(esk23_1 @ X1133))|(X1133 @ X1138)|((X1133 @ (esk22_2 @ X1133 @ X1134))|~(X1133 @ X1134))))&((~(X1133 @ X1137)|((X1137)=(esk23_1 @ X1133))|(((X1134)!=(esk22_2 @ X1133 @ X1134))|~(X1133 @ X1134)))&(((X1138)!=(esk23_1 @ X1133))|(X1133 @ X1138)|(((X1134)!=(esk22_2 @ X1133 @ X1134))|~(X1133 @ X1134)))))&((((in @ (esk24_1 @ X1139) @ X1139)|((X1139)=(emptyset)))&(($true)|((X1139)=(emptyset))))&((~(in @ X1141 @ (setadjoin @ X1142 @ emptyset))|((X1141)=(X1142)))&((((X1143)=(X1144))|~(in @ X1144 @ (setadjoin @ X1143 @ emptyset)))&((((X1145)!=(X1146))|(in @ X1145 @ (setadjoin @ X1146 @ emptyset)))&((~(in @ X1147 @ (setadjoin @ X1148 @ emptyset))|(in @ X1148 @ (setadjoin @ X1147 @ emptyset)))&((~(in @ X1151 @ (setadjoin @ X1149 @ (setadjoin @ X1150 @ emptyset)))|(((X1151)=(X1149))|((X1151)=(X1150))))&((in @ X1152 @ (setadjoin @ X1152 @ (setadjoin @ X1153 @ emptyset)))&((in @ X1155 @ (setadjoin @ X1154 @ (setadjoin @ X1155 @ emptyset)))&((~(in @ X1158 @ X1156)|~(X1157 @ X1158)|(((dsetconstr @ X1156 @ 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X1327 @ X1328))))&((~(in @ X1332 @ (binintersect @ X1330 @ X1331))|(in @ X1332 @ X1330))&((subset @ (binintersect @ X1333 @ X1334) @ X1333)&((~(subset @ X1335 @ X1336)|((binintersect @ X1335 @ X1336)=(X1335)))&((((binintersect @ X1337 @ X1338)!=(X1338))|(subset @ X1338 @ X1337))&((~(in @ X1341 @ (binintersect @ X1339 @ X1340))|(in @ X1341 @ X1340))&((((in @ (esk54_2 @ X1342 @ X1343) @ X1342)|((binintersect @ X1342 @ X1343)=(emptyset)))&((in @ (esk54_2 @ X1342 @ X1343) @ X1343)|((binintersect @ X1342 @ X1343)=(emptyset))))&((subset @ (binintersect @ X1345 @ X1346) @ X1346)&((~(subset @ X1348 @ X1347)|((binintersect @ X1347 @ X1348)=(X1348)))&((((binintersect @ X1349 @ X1350)!=(X1349))|(subset @ X1349 @ X1350))&(((binintersect @ X1351 @ (binunion @ X1352 @ X1353))=(binunion @ (binintersect @ X1351 @ X1352) @ (binintersect @ X1351 @ X1353)))&((~(in @ X1356 @ X1354)|((in @ X1356 @ X1355)|(in @ X1356 @ (setminus @ X1354 @ X1355))))&((~(in @ X1359 @ (setminus @ X1357 @ X1358))|(in @ X1359 @ X1357))&((~(in @ X1362 @ (setminus @ X1360 @ X1361))|~(in @ X1362 @ X1361))&((~(subset @ X1363 @ X1364)|((setminus @ X1363 @ X1364)=(emptyset)))&(((in @ X1367 @ (setminus @ X1365 @ X1366))|(~(in @ X1367 @ X1365)|(in @ X1367 @ X1366)))&(((in @ X1370 @ (setminus @ X1368 @ X1369))|((in @ X1370 @ X1369)|~(in @ X1370 @ X1368)))&(((in @ X1373 @ X1371)|~(in @ X1373 @ (setminus @ X1371 @ X1372)))&((~(in @ X1376 @ X1375)|~(in @ X1376 @ (setminus @ X1374 @ X1375)))&((subset @ (setminus @ X1377 @ X1378) @ X1377)&((((setminus @ X1379 @ X1380)!=(emptyset))|(subset @ X1379 @ X1380))&((((~(in @ X1383 @ X1381)|(X1384)|(in @ X1383 @ X1381)|~(in @ X1383 @ (symdiff @ X1381 @ X1382)))&(((in @ X1383 @ X1382)|(X1384)|(in @ X1383 @ X1381)|~(in @ X1383 @ (symdiff @ X1381 @ X1382)))&(~(X1384)|(X1384)|(in @ X1383 @ X1381)|~(in @ X1383 @ (symdiff @ X1381 @ X1382)))))&(((~(in @ X1383 @ X1381)|(X1384)|~(in @ X1383 @ X1382)|~(in @ X1383 @ (symdiff @ X1381 @ X1382)))&(((in @ X1383 @ X1382)|(X1384)|~(in @ X1383 @ X1382)|~(in @ X1383 @ (symdiff @ X1381 @ X1382)))&(~(X1384)|(X1384)|~(in @ X1383 @ X1382)|~(in @ X1383 @ (symdiff @ X1381 @ X1382)))))&((~(in @ X1383 @ X1381)|(X1384)|~(X1384)|~(in @ X1383 @ (symdiff @ X1381 @ X1382)))&(((in @ X1383 @ X1382)|(X1384)|~(X1384)|~(in @ X1383 @ (symdiff @ X1381 @ X1382)))&(~(X1384)|(X1384)|~(X1384)|~(in @ X1383 @ (symdiff @ X1381 @ X1382)))))))&((~(in @ X1387 @ X1385)|((in @ X1387 @ X1386)|(in @ X1387 @ (symdiff @ X1385 @ X1386))))&(((in @ X1390 @ X1388)|(~(in @ X1390 @ X1389)|(in @ X1390 @ (symdiff @ X1388 @ X1389))))&((~(in @ X1393 @ X1391)|(~(in @ X1393 @ X1392)|~(in @ X1393 @ (symdiff @ X1391 @ X1392))))&(((in @ X1396 @ X1394)|((in @ X1396 @ X1395)|~(in @ X1396 @ (symdiff @ X1394 @ X1395))))&((in @ X1398 @ (setadjoin @ X1397 @ (setadjoin @ X1398 @ emptyset)))&((in @ X1399 @ (setunion @ (setadjoin @ (setadjoin @ X1399 @ emptyset) @ (setadjoin @ (setadjoin @ X1399 @ (setadjoin @ X1400 @ emptyset)) @ emptyset))))&((in @ X1402 @ (setunion @ (setadjoin @ (setadjoin @ X1401 @ emptyset) @ (setadjoin @ (setadjoin @ X1401 @ (setadjoin @ X1402 @ emptyset)) @ emptyset))))&(((in @ (esk55_2 @ X1403 @ X1404) @ (setunion @ (setadjoin @ (setadjoin @ X1403 @ emptyset) @ (setadjoin @ (setadjoin @ X1403 @ (setadjoin @ X1404 @ emptyset)) @ emptyset))))&((in @ (esk56_2 @ X1403 @ X1404) @ (setunion @ (setadjoin @ (setadjoin @ X1403 @ emptyset) @ (setadjoin @ (setadjoin @ X1403 @ (setadjoin @ X1404 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1403 @ emptyset) @ (setadjoin @ (setadjoin @ X1403 @ (setadjoin @ X1404 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X1403 @ X1404) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X1403 @ X1404) @ (setadjoin @ (esk56_2 @ X1403 @ X1404) @ emptyset)) @ emptyset)))))&(((in @ (esk57_2 @ X1407 @ X1408) @ (setunion @ (kpair @ X1407 @ X1408)))&((in @ (esk58_2 @ X1407 @ X1408) @ (setunion @ (kpair @ X1407 @ X1408)))&((kpair @ X1407 @ X1408)=(setadjoin @ (setadjoin @ (esk57_2 @ X1407 @ X1408) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X1407 @ X1408) @ (setadjoin @ (esk58_2 @ X1407 @ X1408) @ emptyset)) @ emptyset)))))&((~(in @ X1412 @ X1411)|(subset @ (setadjoin @ X1412 @ emptyset) @ X1411))&((~(in @ X1414 @ X1413)|(in @ (setadjoin @ X1414 @ emptyset) @ (powerset @ X1413)))&((~(in @ X1417 @ X1415)|(in @ (setadjoin @ X1417 @ emptyset) @ (powerset @ (binunion @ X1415 @ X1416))))&((~(in @ X1420 @ (setadjoin @ X1418 @ (setadjoin @ X1419 @ emptyset)))|(((X1420)=(X1418))|((X1420)=(X1419))))&((~(in @ X1423 @ X1421)|(~(in @ X1424 @ X1422)|(subset @ (setadjoin @ X1423 @ (setadjoin @ X1424 @ emptyset)) @ (binunion @ X1421 @ X1422))))&((~(in @ X1427 @ X1425)|(~(in @ X1428 @ X1426)|(in @ (setadjoin @ X1427 @ (setadjoin @ X1428 @ emptyset)) @ (powerset @ (binunion @ X1425 @ X1426)))))&((~(in @ X1431 @ X1429)|(~(in @ X1432 @ X1430)|(subset @ (setadjoin @ (setadjoin @ X1431 @ emptyset) @ (setadjoin @ (setadjoin @ X1431 @ (setadjoin @ X1432 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1429 @ X1430)))))&((~(in @ X1435 @ X1433)|(~(in @ X1436 @ X1434)|(in @ (setadjoin @ (setadjoin @ X1435 @ emptyset) @ (setadjoin @ (setadjoin @ X1435 @ (setadjoin @ X1436 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1433 @ X1434))))))&((~(in @ X1439 @ X1437)|(~(in @ X1440 @ X1438)|(in @ (kpair @ X1439 @ X1440) @ (powerset @ (powerset @ (binunion @ X1437 @ X1438))))))&((~(in @ X1443 @ X1441)|(~(in @ X1444 @ X1442)|(in @ (kpair @ X1443 @ X1444) @ (cartprod @ X1441 @ X1442))))&((((in @ (esk59_3 @ X1445 @ X1446 @ X1447) @ X1445)|~(in @ X1447 @ (cartprod @ X1445 @ X1446)))&(((in @ (esk60_3 @ X1445 @ X1446 @ X1447) @ X1446)|~(in @ X1447 @ (cartprod @ X1445 @ X1446)))&(((X1447)=(kpair @ (esk59_3 @ X1445 @ X1446 @ X1447) @ (esk60_3 @ X1445 @ X1446 @ X1447)))|~(in @ X1447 @ (cartprod @ X1445 @ X1446)))))&((((in @ (esk61_3 @ X1450 @ X1451 @ X1452) @ (setunion @ X1452))|~(in @ X1452 @ (cartprod @ X1450 @ X1451)))&(((in @ (esk62_3 @ X1450 @ X1451 @ X1452) @ (setunion @ X1452))|~(in @ X1452 @ (cartprod @ X1450 @ X1451)))&(((X1452)=(setadjoin @ (setadjoin @ (esk61_3 @ X1450 @ X1451 @ X1452) @ emptyset) @ (setadjoin @ (setadjoin @ (esk61_3 @ X1450 @ X1451 @ X1452) @ (setadjoin @ (esk62_3 @ X1450 @ X1451 @ X1452) @ emptyset)) @ emptyset)))|~(in @ X1452 @ (cartprod @ X1450 @ X1451)))))&((((in @ (esk63_2 @ X1455 @ X1456) @ X1455)|~(in @ X1456 @ (setunion @ X1455)))&((in @ X1456 @ (esk63_2 @ X1455 @ X1456))|~(in @ X1456 @ (setunion @ X1455))))&((subset @ (setunion @ (setadjoin @ X1458 @ emptyset)) @ X1458)&((subset @ X1459 @ (setunion @ (setadjoin @ X1459 @ emptyset)))&(((setunion @ (setadjoin @ X1460 @ emptyset))=(X1460))&(((((in @ (esk66_2 @ X1461 @ X1462) @ (dsetconstr @ X1461 @ X1462))|(~(in @ X1465 @ X1461)|~(X1462 @ X1465))|(in @ (esk64_2 @ X1461 @ X1462) @ X1461))&(((dsetconstr @ X1461 @ X1462)=(setadjoin @ (esk66_2 @ X1461 @ X1462) @ emptyset))|(~(in @ X1465 @ X1461)|~(X1462 @ X1465))|(in @ (esk64_2 @ X1461 @ X1462) @ X1461)))&((((in @ (esk66_2 @ X1461 @ X1462) @ (dsetconstr @ X1461 @ X1462))|(~(in @ X1465 @ X1461)|~(X1462 @ X1465))|(in @ (esk65_2 @ X1461 @ X1462) @ X1461))&(((dsetconstr @ X1461 @ X1462)=(setadjoin @ (esk66_2 @ X1461 @ X1462) @ emptyset))|(~(in @ X1465 @ X1461)|~(X1462 @ X1465))|(in @ (esk65_2 @ X1461 @ X1462) @ X1461)))&((((in @ (esk66_2 @ X1461 @ X1462) @ (dsetconstr @ X1461 @ X1462))|(~(in @ X1465 @ X1461)|~(X1462 @ X1465))|(X1462 @ (esk64_2 @ X1461 @ X1462)))&(((dsetconstr @ X1461 @ X1462)=(setadjoin @ (esk66_2 @ X1461 @ X1462) @ emptyset))|(~(in @ X1465 @ X1461)|~(X1462 @ X1465))|(X1462 @ (esk64_2 @ X1461 @ X1462))))&((((in @ (esk66_2 @ X1461 @ X1462) @ (dsetconstr @ X1461 @ X1462))|(~(in @ X1465 @ X1461)|~(X1462 @ X1465))|(X1462 @ (esk65_2 @ X1461 @ X1462)))&(((dsetconstr @ X1461 @ X1462)=(setadjoin @ (esk66_2 @ X1461 @ X1462) @ emptyset))|(~(in @ X1465 @ X1461)|~(X1462 @ X1465))|(X1462 @ (esk65_2 @ X1461 @ X1462))))&(((in @ (esk66_2 @ X1461 @ X1462) @ (dsetconstr @ X1461 @ X1462))|(~(in @ X1465 @ X1461)|~(X1462 @ X1465))|((esk64_2 @ X1461 @ X1462)!=(esk65_2 @ X1461 @ X1462)))&(((dsetconstr @ X1461 @ X1462)=(setadjoin @ (esk66_2 @ X1461 @ X1462) @ emptyset))|(~(in @ X1465 @ X1461)|~(X1462 @ X1465))|((esk64_2 @ X1461 @ X1462)!=(esk65_2 @ X1461 @ X1462))))))))&((((in @ (esk67_2 @ X1467 @ X1468) @ X1467)|(~(in @ X1469 @ (dsetconstr @ X1467 @ X1468))|((dsetconstr @ X1467 @ X1468)!=(setadjoin @ X1469 @ emptyset))))&((X1468 @ (esk67_2 @ X1467 @ X1468))|(~(in @ X1469 @ (dsetconstr @ X1467 @ X1468))|((dsetconstr @ X1467 @ X1468)!=(setadjoin @ X1469 @ emptyset)))))&(((((in @ (esk69_3 @ X1471 @ X1472 @ X1473) @ (dsetconstr @ X1471 @ X1472))|(in @ (esk68_3 @ X1471 @ X1472 @ X1473) @ X1471)|~(X1472 @ X1473)|~(in @ X1473 @ X1471))&(((dsetconstr @ X1471 @ X1472)=(setadjoin @ (esk69_3 @ X1471 @ X1472 @ X1473) @ emptyset))|(in @ (esk68_3 @ X1471 @ X1472 @ X1473) @ X1471)|~(X1472 @ X1473)|~(in @ X1473 @ X1471)))&((((in @ (esk69_3 @ X1471 @ X1472 @ X1473) @ (dsetconstr @ X1471 @ X1472))|(X1472 @ (esk68_3 @ X1471 @ X1472 @ X1473))|~(X1472 @ X1473)|~(in @ X1473 @ X1471))&(((dsetconstr @ X1471 @ X1472)=(setadjoin @ (esk69_3 @ X1471 @ X1472 @ X1473) @ emptyset))|(X1472 @ (esk68_3 @ X1471 @ X1472 @ X1473))|~(X1472 @ X1473)|~(in @ X1473 @ X1471)))&(((in @ (esk69_3 @ X1471 @ X1472 @ X1473) @ (dsetconstr @ X1471 @ X1472))|((esk68_3 @ X1471 @ X1472 @ X1473)!=(X1473))|~(X1472 @ X1473)|~(in @ X1473 @ X1471))&(((dsetconstr @ X1471 @ X1472)=(setadjoin @ (esk69_3 @ X1471 @ X1472 @ X1473) @ emptyset))|((esk68_3 @ X1471 @ X1472 @ X1473)!=(X1473))|~(X1472 @ X1473)|~(in @ X1473 @ X1471)))))&(((((in @ (esk72_2 @ X1476 @ X1477) @ (dsetconstr @ X1476 @ X1477))|(~(in @ X1480 @ X1476)|~(X1477 @ X1480))|(in @ (esk70_2 @ X1476 @ X1477) @ X1476))&(((dsetconstr @ X1476 @ X1477)=(setadjoin @ (esk72_2 @ X1476 @ X1477) @ emptyset))|(~(in @ X1480 @ X1476)|~(X1477 @ X1480))|(in @ (esk70_2 @ X1476 @ X1477) @ X1476)))&((((in @ (esk72_2 @ X1476 @ X1477) @ (dsetconstr @ X1476 @ X1477))|(~(in @ X1480 @ X1476)|~(X1477 @ X1480))|(in @ (esk71_2 @ X1476 @ X1477) @ X1476))&(((dsetconstr @ X1476 @ X1477)=(setadjoin @ (esk72_2 @ X1476 @ X1477) @ emptyset))|(~(in @ X1480 @ X1476)|~(X1477 @ X1480))|(in @ (esk71_2 @ X1476 @ X1477) @ X1476)))&((((in @ (esk72_2 @ X1476 @ X1477) @ (dsetconstr @ X1476 @ X1477))|(~(in @ X1480 @ X1476)|~(X1477 @ X1480))|(X1477 @ (esk70_2 @ X1476 @ X1477)))&(((dsetconstr @ X1476 @ X1477)=(setadjoin @ (esk72_2 @ X1476 @ X1477) @ emptyset))|(~(in @ X1480 @ X1476)|~(X1477 @ X1480))|(X1477 @ (esk70_2 @ X1476 @ X1477))))&((((in @ (esk72_2 @ X1476 @ X1477) @ (dsetconstr @ X1476 @ X1477))|(~(in @ X1480 @ X1476)|~(X1477 @ X1480))|(X1477 @ (esk71_2 @ X1476 @ X1477)))&(((dsetconstr @ X1476 @ X1477)=(setadjoin @ (esk72_2 @ X1476 @ X1477) @ emptyset))|(~(in @ X1480 @ X1476)|~(X1477 @ X1480))|(X1477 @ (esk71_2 @ X1476 @ X1477))))&(((in @ (esk72_2 @ X1476 @ X1477) @ (dsetconstr @ X1476 @ X1477))|(~(in @ X1480 @ X1476)|~(X1477 @ X1480))|((esk70_2 @ X1476 @ X1477)!=(esk71_2 @ X1476 @ X1477)))&(((dsetconstr @ X1476 @ X1477)=(setadjoin @ (esk72_2 @ X1476 @ X1477) @ emptyset))|(~(in @ X1480 @ X1476)|~(X1477 @ X1480))|((esk70_2 @ X1476 @ X1477)!=(esk71_2 @ X1476 @ X1477))))))))&((((setadjoin @ X1482 @ emptyset)!=(setadjoin @ X1483 @ emptyset))|((X1482)=(X1483)))&((~(in @ (setadjoin @ X1486 @ emptyset) @ (setadjoin @ (setadjoin @ X1484 @ emptyset) @ (setadjoin @ (setadjoin @ X1484 @ (setadjoin @ X1485 @ emptyset)) @ emptyset)))|((X1484)=(X1486)))&((((in @ (esk73_1 @ X1487) @ (dsetconstr @ (setunion @ X1487) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1487)))))|(~(in @ X1488 @ (setunion @ X1487))|(~(in @ X1489 @ (setunion @ X1487))|((X1487)!=(setadjoin @ (setadjoin @ X1488 @ emptyset) @ (setadjoin @ (setadjoin @ X1488 @ (setadjoin @ X1489 @ emptyset)) @ emptyset))))))&(((dsetconstr @ (setunion @ X1487) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1487))))=(setadjoin @ (esk73_1 @ X1487) @ emptyset))|(~(in @ X1488 @ (setunion @ X1487))|(~(in @ X1489 @ (setunion @ X1487))|((X1487)!=(setadjoin @ (setadjoin @ X1488 @ emptyset) @ (setadjoin @ (setadjoin @ X1488 @ (setadjoin @ X1489 @ emptyset)) @ emptyset)))))))&((~(in @ X1492 @ X1491)|((X1491)!=(setadjoin @ X1492 @ emptyset))|(in @ (setunion @ X1491) @ X1491))&(((kfst @ (kpair @ X1493 @ X1494))=(X1493))&((~(in @ X1497 @ (cartprod @ X1495 @ X1496))|(in @ (kfst @ X1497) @ X1495))&((((setadjoin @ (setadjoin @ X1498 @ emptyset) @ (setadjoin @ (setadjoin @ X1498 @ (setadjoin @ X1499 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1500 @ emptyset) @ (setadjoin @ (setadjoin @ X1500 @ (setadjoin @ X1501 @ emptyset)) @ emptyset)))|((X1498)=(X1500)))&((((kpair @ X1502 @ X1503)!=(kpair @ X1504 @ X1505))|((X1502)=(X1504)))&((((X1506)!=(X1507))|((setadjoin @ X1506 @ (setadjoin @ X1507 @ emptyset))=(setadjoin @ X1506 @ emptyset)))&((((X1508)!=(X1509))|((setadjoin @ (setadjoin @ X1508 @ emptyset) @ (setadjoin @ (setadjoin @ X1508 @ (setadjoin @ X1509 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1508 @ emptyset) @ emptyset)))&(((setadjoin @ (setadjoin @ esk74_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk74_0 @ (setadjoin @ esk75_0 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset)) @ emptyset)))&(((esk76_0)=(esk77_0))&((esk75_0)!=(esk77_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_233])])])])])])])).
% 3.64/0.81 thf(c_0_235, negated_conjecture, ![X2:$i, X3:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))|((X2)!=(X3)))), inference(split_conjunct,[status(thm)],[c_0_234])).
% 3.64/0.81 thf(c_0_236, negated_conjecture, ((setadjoin @ (setadjoin @ esk74_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk74_0 @ (setadjoin @ esk75_0 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk76_0 @ (setadjoin @ esk77_0 @ emptyset)) @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_234])).
% 3.64/0.81 thf(c_0_237, negated_conjecture, ((esk76_0)=(esk77_0)), inference(split_conjunct,[status(thm)],[c_0_234])).
% 3.64/0.81 thf(c_0_238, negated_conjecture, ![X2:$i]:(((setadjoin @ X2 @ (setadjoin @ X2 @ emptyset))=(setadjoin @ X2 @ emptyset))), inference(er,[status(thm)],[c_0_235])).
% 3.64/0.81 thf(c_0_239, negated_conjecture, ![X3:$i, X2:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)) @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_234])).
% 3.64/0.81 thf(c_0_240, negated_conjecture, ((setadjoin @ (setadjoin @ esk74_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk74_0 @ (setadjoin @ esk75_0 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ esk76_0 @ emptyset) @ emptyset)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_236, c_0_237]), c_0_238]), c_0_238])).
% 3.64/0.81 thf(c_0_241, negated_conjecture, ![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2))), inference(split_conjunct,[status(thm)],[c_0_234])).
% 3.64/0.81 thf(c_0_242, negated_conjecture, ((esk75_0)!=(esk77_0)), inference(split_conjunct,[status(thm)],[c_0_234])).
% 3.64/0.81 thf(c_0_243, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ X3)|((X2)=(X4))|~((in @ X2 @ (setadjoin @ X4 @ X3))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_234])])])).
% 3.64/0.81 thf(c_0_244, negated_conjecture, (in @ esk75_0 @ (setadjoin @ esk76_0 @ emptyset)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239, c_0_240]), c_0_241])).
% 3.64/0.81 thf(c_0_245, negated_conjecture, ((esk75_0)!=(esk76_0)), inference(rw,[status(thm)],[c_0_242, c_0_237])).
% 3.64/0.81 thf(c_0_246, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_234])).
% 3.64/0.81 thf(c_0_247, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_243, c_0_244]), c_0_245]), c_0_246]), ['proof']).
% 3.64/0.81 % SZS output end CNFRefutation
% 3.64/0.81 % Parsed axioms : 371
% 3.64/0.81 % Removed by relevancy pruning/SinE : 0
% 3.64/0.81 % Initial clauses : 524
% 3.64/0.81 % Removed in clause preprocessing : 222
% 3.64/0.81 % Initial clauses in saturation : 302
% 3.64/0.81 % Processed clauses : 2179
% 3.64/0.81 % ...of these trivial : 14
% 3.64/0.81 % ...subsumed : 1491
% 3.64/0.81 % ...remaining for further processing : 674
% 3.64/0.81 % Other redundant clauses eliminated : 30
% 3.64/0.81 % Clauses deleted for lack of memory : 0
% 3.64/0.81 % Backward-subsumed : 2
% 3.64/0.81 % Backward-rewritten : 12
% 3.64/0.81 % Generated clauses : 24042
% 3.64/0.81 % ...of the previous two non-redundant : 21340
% 3.64/0.81 % ...aggressively subsumed : 0
% 3.64/0.81 % Contextual simplify-reflections : 1
% 3.64/0.81 % Paramodulations : 24008
% 3.64/0.81 % Factorizations : 2
% 3.64/0.81 % NegExts : 0
% 3.64/0.81 % Equation resolutions : 32
% 3.64/0.81 % Disequality decompositions : 0
% 3.64/0.81 % Total rewrite steps : 7592
% 3.64/0.81 % ...of those cached : 7322
% 3.64/0.81 % Propositional unsat checks : 0
% 3.64/0.81 % Propositional check models : 0
% 3.64/0.81 % Propositional check unsatisfiable : 0
% 3.64/0.81 % Propositional clauses : 0
% 3.64/0.81 % Propositional clauses after purity: 0
% 3.64/0.81 % Propositional unsat core size : 0
% 3.64/0.81 % Propositional preprocessing time : 0.000
% 3.64/0.81 % Propositional encoding time : 0.000
% 3.64/0.81 % Propositional solver time : 0.000
% 3.64/0.81 % Success case prop preproc time : 0.000
% 3.64/0.81 % Success case prop encoding time : 0.000
% 3.64/0.81 % Success case prop solver time : 0.000
% 3.64/0.81 % Current number of processed clauses : 644
% 3.64/0.81 % Positive orientable unit clauses : 205
% 3.64/0.81 % Positive unorientable unit clauses: 0
% 3.64/0.81 % Negative unit clauses : 3
% 3.64/0.81 % Non-unit-clauses : 436
% 3.64/0.81 % Current number of unprocessed clauses: 19271
% 3.64/0.81 % ...number of literals in the above : 69483
% 3.64/0.81 % Current number of archived formulas : 0
% 3.64/0.81 % Current number of archived clauses : 15
% 3.64/0.81 % Clause-clause subsumption calls (NU) : 14569
% 3.64/0.81 % Rec. Clause-clause subsumption calls : 9523
% 3.64/0.81 % Non-unit clause-clause subsumptions : 1043
% 3.64/0.81 % Unit Clause-clause subsumption calls : 307
% 3.64/0.81 % Rewrite failures with RHS unbound : 0
% 3.64/0.81 % BW rewrite match attempts : 952
% 3.64/0.81 % BW rewrite match successes : 10
% 3.64/0.81 % Condensation attempts : 0
% 3.64/0.81 % Condensation successes : 0
% 3.64/0.81 % Termbank termtop insertions : 476200
% 3.64/0.81 % Search garbage collected termcells : 16591
% 3.64/0.81
% 3.64/0.81 % -------------------------------------------------
% 3.64/0.81 % User time : 0.481 s
% 3.64/0.81 % System time : 0.029 s
% 3.64/0.81 % Total time : 0.510 s
% 3.64/0.81 % Maximum resident set size: 7332 pages
% 3.64/0.81
% 3.64/0.81 % -------------------------------------------------
% 3.64/0.81 % User time : 0.490 s
% 3.64/0.81 % System time : 0.037 s
% 3.64/0.81 % Total time : 0.527 s
% 3.64/0.81 % Maximum resident set size: 5120 pages
% 3.64/0.81 % E exiting
%------------------------------------------------------------------------------