%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU650^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:27:04 AM UTC 2026
% Result : Theorem 2.92s 0.75s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU650^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.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 14:03:24 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.21/0.27 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p
% 2.92/0.75 % Version: 3.5.1-ho
% 2.92/0.75 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.92/0.75 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.92/0.75 % Starting ehoh_best5 with 300s (1) cores
% 2.92/0.75 % Starting almost_fo_3_lam with 300s (1) cores
% 2.92/0.75 % Starting new_bool_5 with 300s (1) cores
% 2.92/0.75 % Starting pre_casc_3 with 300s (1) cores
% 2.92/0.75 % Starting ho_unfolding_8 with 300s (1) cores
% 2.92/0.75 % Starting new_ho_10_cnf2 with 300s (1) cores
% 2.92/0.75 % Starting new_bool_3 with 300s (1) cores
% 2.92/0.75 % Starting new_ho_5 with 300s (1) cores
% 2.92/0.75 % ho_unfolding_8 with pid 3206878 completed with status 0
% 2.92/0.75 % Result found by ho_unfolding_8
% 2.92/0.75 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.92/0.75 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.92/0.75 % Starting ehoh_best5 with 300s (1) cores
% 2.92/0.75 % Starting almost_fo_3_lam with 300s (1) cores
% 2.92/0.75 % Starting new_bool_5 with 300s (1) cores
% 2.92/0.75 % Starting pre_casc_3 with 300s (1) cores
% 2.92/0.75 % Starting ho_unfolding_8 with 300s (1) cores
% 2.92/0.75 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.92/0.75 % No SInE strategy applied
% 2.92/0.75 % Search class: HGHSM-FSLM31-MHFMMSBN
% 2.92/0.75 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.92/0.75 % Starting SubtermCWHack with 28s (1) cores
% 2.92/0.75 % SubtermCWHack with pid 3206887 completed with status 0
% 2.92/0.75 % Result found by SubtermCWHack
% 2.92/0.75 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.92/0.75 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.92/0.75 % Starting ehoh_best5 with 300s (1) cores
% 2.92/0.75 % Starting almost_fo_3_lam with 300s (1) cores
% 2.92/0.75 % Starting new_bool_5 with 300s (1) cores
% 2.92/0.75 % Starting pre_casc_3 with 300s (1) cores
% 2.92/0.75 % Starting ho_unfolding_8 with 300s (1) cores
% 2.92/0.75 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.92/0.75 % No SInE strategy applied
% 2.92/0.75 % Search class: HGHSM-FSLM31-MHFMMSBN
% 2.92/0.75 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.92/0.75 % Starting SubtermCWHack with 28s (1) cores
% 2.92/0.75 % Preprocessing time : 0.005 s
% 2.92/0.75
% 2.92/0.75 % Proof found!
% 2.92/0.75 % SZS status Theorem
% 2.92/0.75 % SZS output start CNFRefutation
% 2.92/0.75 thf(decl_23, type, in: $i > $i > $o).
% 2.92/0.75 thf(decl_24, type, exu: ($i > $o) > $o).
% 2.92/0.75 thf(decl_25, type, setextAx: $o).
% 2.92/0.75 thf(decl_26, type, emptyset: $i).
% 2.92/0.75 thf(decl_27, type, emptysetAx: $o).
% 2.92/0.75 thf(decl_28, type, setadjoin: $i > $i > $i).
% 2.92/0.75 thf(decl_29, type, setadjoinAx: $o).
% 2.92/0.75 thf(decl_30, type, powerset: $i > $i).
% 2.92/0.75 thf(decl_31, type, powersetAx: $o).
% 2.92/0.75 thf(decl_32, type, setunion: $i > $i).
% 2.92/0.75 thf(decl_33, type, setunionAx: $o).
% 2.92/0.75 thf(decl_34, type, omega: $i).
% 2.92/0.75 thf(decl_35, type, omega0Ax: $o).
% 2.92/0.75 thf(decl_36, type, omegaSAx: $o).
% 2.92/0.75 thf(decl_37, type, omegaIndAx: $o).
% 2.92/0.75 thf(decl_38, type, replAx: $o).
% 2.92/0.75 thf(decl_39, type, foundationAx: $o).
% 2.92/0.75 thf(decl_40, type, wellorderingAx: $o).
% 2.92/0.75 thf(decl_41, type, descr: ($i > $o) > $i).
% 2.92/0.75 thf(decl_42, type, descrp: $o).
% 2.92/0.75 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 2.92/0.75 thf(decl_44, type, dsetconstrI: $o).
% 2.92/0.75 thf(decl_45, type, dsetconstrEL: $o).
% 2.92/0.75 thf(decl_46, type, dsetconstrER: $o).
% 2.92/0.75 thf(decl_47, type, exuE1: $o).
% 2.92/0.75 thf(decl_48, type, prop2set: $o > $i).
% 2.92/0.75 thf(decl_49, type, prop2setE: $o).
% 2.92/0.75 thf(decl_50, type, emptysetE: $o).
% 2.92/0.75 thf(decl_51, type, emptysetimpfalse: $o).
% 2.92/0.75 thf(decl_52, type, notinemptyset: $o).
% 2.92/0.75 thf(decl_53, type, exuE3e: $o).
% 2.92/0.75 thf(decl_54, type, setext: $o).
% 2.92/0.75 thf(decl_55, type, emptyI: $o).
% 2.92/0.75 thf(decl_56, type, noeltsimpempty: $o).
% 2.92/0.75 thf(decl_57, type, setbeta: $o).
% 2.92/0.75 thf(decl_58, type, nonempty: $i > $o).
% 2.92/0.75 thf(decl_59, type, nonemptyE1: $o).
% 2.92/0.75 thf(decl_60, type, nonemptyI: $o).
% 2.92/0.75 thf(decl_61, type, nonemptyI1: $o).
% 2.92/0.75 thf(decl_62, type, setadjoinIL: $o).
% 2.92/0.75 thf(decl_63, type, emptyinunitempty: $o).
% 2.92/0.75 thf(decl_64, type, setadjoinIR: $o).
% 2.92/0.75 thf(decl_65, type, setadjoinE: $o).
% 2.92/0.75 thf(decl_66, type, setadjoinOr: $o).
% 2.92/0.75 thf(decl_67, type, setoftrueEq: $o).
% 2.92/0.75 thf(decl_68, type, powersetI: $o).
% 2.92/0.75 thf(decl_69, type, emptyinPowerset: $o).
% 2.92/0.75 thf(decl_70, type, emptyInPowerset: $o).
% 2.92/0.75 thf(decl_71, type, powersetE: $o).
% 2.92/0.75 thf(decl_72, type, setunionI: $o).
% 2.92/0.75 thf(decl_73, type, setunionE: $o).
% 2.92/0.75 thf(decl_74, type, subPowSU: $o).
% 2.92/0.75 thf(decl_75, type, exuE2: $o).
% 2.92/0.75 thf(decl_76, type, nonemptyImpWitness: $o).
% 2.92/0.75 thf(decl_77, type, uniqinunit: $o).
% 2.92/0.75 thf(decl_78, type, notinsingleton: $o).
% 2.92/0.75 thf(decl_79, type, eqinunit: $o).
% 2.92/0.75 thf(decl_80, type, singletonsswitch: $o).
% 2.92/0.75 thf(decl_81, type, upairsetE: $o).
% 2.92/0.75 thf(decl_82, type, upairsetIL: $o).
% 2.92/0.75 thf(decl_83, type, upairsetIR: $o).
% 2.92/0.75 thf(decl_84, type, emptyE1: $o).
% 2.92/0.75 thf(decl_85, type, vacuousDall: $o).
% 2.92/0.75 thf(decl_86, type, quantDeMorgan1: $o).
% 2.92/0.75 thf(decl_87, type, quantDeMorgan2: $o).
% 2.92/0.75 thf(decl_88, type, quantDeMorgan3: $o).
% 2.92/0.75 thf(decl_89, type, quantDeMorgan4: $o).
% 2.92/0.75 thf(decl_90, type, prop2setI: $o).
% 2.92/0.75 thf(decl_91, type, set2prop: $i > $o).
% 2.92/0.75 thf(decl_92, type, prop2set2propI: $o).
% 2.92/0.75 thf(decl_93, type, notdexE: $o).
% 2.92/0.75 thf(decl_94, type, notdallE: $o).
% 2.92/0.75 thf(decl_95, type, exuI1: $o).
% 2.92/0.75 thf(decl_96, type, exuI3: $o).
% 2.92/0.75 thf(decl_97, type, exuI2: $o).
% 2.92/0.75 thf(decl_98, type, inCongP: $o).
% 2.92/0.75 thf(decl_99, type, in__Cong: $o).
% 2.92/0.75 thf(decl_100, type, exuE3u: $o).
% 2.92/0.75 thf(decl_101, type, exu__Cong: $o).
% 2.92/0.75 thf(decl_102, type, emptyset__Cong: $o).
% 2.92/0.75 thf(decl_103, type, setadjoin__Cong: $o).
% 2.92/0.75 thf(decl_104, type, powerset__Cong: $o).
% 2.92/0.75 thf(decl_105, type, setunion__Cong: $o).
% 2.92/0.75 thf(decl_106, type, omega__Cong: $o).
% 2.92/0.75 thf(decl_107, type, exuEu: $o).
% 2.92/0.75 thf(decl_108, type, descr__Cong: $o).
% 2.92/0.75 thf(decl_109, type, dsetconstr__Cong: $o).
% 2.92/0.75 thf(decl_110, type, subset: $i > $i > $o).
% 2.92/0.75 thf(decl_113, type, subsetI1: $o).
% 2.92/0.75 thf(decl_114, type, eqimpsubset2: $o).
% 2.92/0.75 thf(decl_115, type, eqimpsubset1: $o).
% 2.92/0.75 thf(decl_116, type, subsetI2: $o).
% 2.92/0.75 thf(decl_117, type, emptysetsubset: $o).
% 2.92/0.75 thf(decl_118, type, subsetE: $o).
% 2.92/0.75 thf(decl_119, type, subsetE2: $o).
% 2.92/0.75 thf(decl_120, type, notsubsetI: $o).
% 2.92/0.75 thf(decl_121, type, notequalI1: $o).
% 2.92/0.75 thf(decl_122, type, notequalI2: $o).
% 2.92/0.75 thf(decl_123, type, subsetRefl: $o).
% 2.92/0.75 thf(decl_124, type, subsetTrans: $o).
% 2.92/0.75 thf(decl_125, type, setadjoinSub: $o).
% 2.92/0.75 thf(decl_126, type, setadjoinSub2: $o).
% 2.92/0.75 thf(decl_127, type, subset2powerset: $o).
% 2.92/0.75 thf(decl_128, type, setextsub: $o).
% 2.92/0.75 thf(decl_129, type, subsetemptysetimpeq: $o).
% 2.92/0.75 thf(decl_130, type, powersetI1: $o).
% 2.92/0.75 thf(decl_131, type, powersetE1: $o).
% 2.92/0.75 thf(decl_132, type, inPowerset: $o).
% 2.92/0.75 thf(decl_133, type, powersetsubset: $o).
% 2.92/0.75 thf(decl_134, type, sepInPowerset: $o).
% 2.92/0.75 thf(decl_135, type, sepSubset: $o).
% 2.92/0.75 thf(decl_136, type, binunion: $i > $i > $i).
% 2.92/0.75 thf(decl_137, type, binunionIL: $o).
% 2.92/0.75 thf(decl_138, type, upairset2IR: $o).
% 2.92/0.75 thf(decl_139, type, binunionIR: $o).
% 2.92/0.75 thf(decl_140, type, binunionEcases: $o).
% 2.92/0.75 thf(decl_141, type, binunionE: $o).
% 2.92/0.75 thf(decl_142, type, binunionLsub: $o).
% 2.92/0.75 thf(decl_143, type, binunionRsub: $o).
% 2.92/0.75 thf(decl_144, type, binintersect: $i > $i > $i).
% 2.92/0.75 thf(decl_145, type, binintersectI: $o).
% 2.92/0.75 thf(decl_146, type, binintersectSubset5: $o).
% 2.92/0.75 thf(decl_147, type, binintersectEL: $o).
% 2.92/0.75 thf(decl_148, type, binintersectLsub: $o).
% 2.92/0.75 thf(decl_149, type, binintersectSubset2: $o).
% 2.92/0.75 thf(decl_150, type, binintersectSubset3: $o).
% 2.92/0.75 thf(decl_151, type, binintersectER: $o).
% 2.92/0.75 thf(decl_152, type, disjointsetsI1: $o).
% 2.92/0.75 thf(decl_153, type, binintersectRsub: $o).
% 2.92/0.75 thf(decl_154, type, binintersectSubset4: $o).
% 2.92/0.75 thf(decl_155, type, binintersectSubset1: $o).
% 2.92/0.75 thf(decl_156, type, bs114d: $o).
% 2.92/0.75 thf(decl_158, type, setminus: $i > $i > $i).
% 2.92/0.75 thf(decl_159, type, setminusI: $o).
% 2.92/0.75 thf(decl_160, type, setminusEL: $o).
% 2.92/0.75 thf(decl_161, type, setminusER: $o).
% 2.92/0.75 thf(decl_162, type, setminusSubset2: $o).
% 2.92/0.75 thf(decl_163, type, setminusERneg: $o).
% 2.92/0.75 thf(decl_164, type, setminusELneg: $o).
% 2.92/0.75 thf(decl_165, type, setminusILneg: $o).
% 2.92/0.75 thf(decl_166, type, setminusIRneg: $o).
% 2.92/0.75 thf(decl_167, type, setminusLsub: $o).
% 2.92/0.75 thf(decl_168, type, setminusSubset1: $o).
% 2.92/0.75 thf(decl_169, type, symdiff: $i > $i > $i).
% 2.92/0.75 thf(decl_170, type, symdiffE: $o).
% 2.92/0.75 thf(decl_171, type, symdiffI1: $o).
% 2.92/0.75 thf(decl_172, type, symdiffI2: $o).
% 2.92/0.75 thf(decl_173, type, symdiffIneg1: $o).
% 2.92/0.75 thf(decl_174, type, symdiffIneg2: $o).
% 2.92/0.75 thf(decl_175, type, iskpair: $i > $o).
% 2.92/0.75 thf(decl_176, type, secondinupair: $o).
% 2.92/0.75 thf(decl_177, type, setukpairIL: $o).
% 2.92/0.75 thf(decl_178, type, setukpairIR: $o).
% 2.92/0.75 thf(decl_179, type, kpairiskpair: $o).
% 2.92/0.75 thf(decl_180, type, kpair: $i > $i > $i).
% 2.92/0.75 thf(decl_181, type, kpairp: $o).
% 2.92/0.75 thf(decl_182, type, cartprod: $i > $i > $i).
% 2.92/0.75 thf(decl_183, type, singletonsubset: $o).
% 2.92/0.75 thf(decl_184, type, singletoninpowerset: $o).
% 2.92/0.75 thf(decl_185, type, singletoninpowunion: $o).
% 2.92/0.75 thf(decl_186, type, upairset2E: $o).
% 2.92/0.75 thf(decl_187, type, upairsubunion: $o).
% 2.92/0.75 thf(decl_188, type, upairinpowunion: $o).
% 2.92/0.75 thf(decl_189, type, ubforcartprodlem1: $o).
% 2.92/0.75 thf(decl_190, type, ubforcartprodlem2: $o).
% 2.92/0.75 thf(decl_191, type, ubforcartprodlem3: $o).
% 2.92/0.75 thf(decl_192, type, cartprodpairin: $o).
% 2.92/0.75 thf(decl_193, type, cartprodmempair1: $o).
% 2.92/0.75 thf(decl_194, type, cartprodmempair: $o).
% 2.92/0.75 thf(decl_195, type, setunionE2: $o).
% 2.92/0.75 thf(decl_196, type, setunionsingleton1: $o).
% 2.92/0.75 thf(decl_197, type, setunionsingleton2: $o).
% 2.92/0.75 thf(decl_198, type, setunionsingleton: $o).
% 2.92/0.75 thf(decl_199, type, singleton: $i > $o).
% 2.92/0.75 thf(decl_200, type, singletonprop: $o).
% 2.92/0.75 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 2.92/0.75 thf(decl_202, type, ex1E1: $o).
% 2.92/0.75 thf(decl_203, type, ex1I: $o).
% 2.92/0.75 thf(decl_204, type, ex1I2: $o).
% 2.92/0.75 thf(decl_205, type, singletonsuniq: $o).
% 2.92/0.75 thf(decl_210, type, setukpairinjL1: $o).
% 2.92/0.75 thf(decl_211, type, kfstsingleton: $o).
% 2.92/0.75 thf(decl_212, type, theprop: $o).
% 2.92/0.75 thf(decl_213, type, kfst: $i > $i).
% 2.92/0.75 thf(decl_214, type, kfstpairEq: $o).
% 2.92/0.75 thf(decl_215, type, cartprodfstin: $o).
% 2.92/0.75 thf(decl_216, type, setukpairinjL2: $o).
% 2.92/0.75 thf(decl_217, type, setukpairinjL: $o).
% 2.92/0.75 thf(decl_218, type, setukpairinjR11: $o).
% 2.92/0.75 thf(decl_219, type, epred1_0: $o).
% 2.92/0.75 thf(decl_220, type, esk1_2: $i > $i > $i).
% 2.92/0.75 thf(decl_221, type, esk2_2: $i > $i > $i).
% 2.92/0.75 thf(decl_222, type, esk3_2: $i > $i > $i).
% 2.92/0.75 thf(decl_223, type, esk4_1: $i > $i).
% 2.92/0.75 thf(decl_224, type, esk5_2: ($i > $i > $o) > $i > $i).
% 2.92/0.75 thf(decl_225, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 2.92/0.75 thf(decl_226, type, esk7_2: ($i > $i > $o) > $i > $i).
% 2.92/0.75 thf(decl_227, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 2.92/0.75 thf(decl_228, type, esk9_1: $i > $i).
% 2.92/0.75 thf(decl_229, type, esk10_2: ($i > $o) > $i > $i).
% 2.92/0.75 thf(decl_230, type, esk11_2: ($i > $o) > $i > $i).
% 2.92/0.75 thf(decl_231, type, esk12_1: ($i > $o) > $i).
% 2.92/0.75 thf(decl_232, type, esk13_2: ($i > $o) > $i > $i).
% 2.92/0.75 thf(decl_233, type, esk14_1: ($i > $o) > $i).
% 2.92/0.75 thf(decl_234, type, esk15_2: $i > $i > $i).
% 2.92/0.75 thf(decl_235, type, esk16_2: $i > $i > $i).
% 2.92/0.75 thf(decl_236, type, esk17_1: $i > $i).
% 2.92/0.75 thf(decl_237, type, esk18_1: $i > $i).
% 2.92/0.75 thf(decl_238, type, esk19_1: $i > $i).
% 2.92/0.75 thf(decl_239, type, esk20_2: $i > $i > $i).
% 2.92/0.75 thf(decl_240, type, esk21_3: $i > $i > $o > $i).
% 2.92/0.75 thf(decl_241, type, esk22_2: ($i > $o) > $i > $i).
% 2.92/0.75 thf(decl_242, type, esk23_1: ($i > $o) > $i).
% 2.92/0.75 thf(decl_243, type, esk24_1: $i > $i).
% 2.92/0.75 thf(decl_244, type, esk25_2: $i > ($i > $o) > $i).
% 2.92/0.75 thf(decl_245, type, esk26_2: $i > ($i > $o) > $i).
% 2.92/0.75 thf(decl_246, type, esk27_2: $i > ($i > $o) > $i).
% 2.92/0.75 thf(decl_247, type, esk28_2: $i > ($i > $o) > $i).
% 2.92/0.75 thf(decl_248, type, esk29_2: $i > ($i > $o) > $i).
% 2.92/0.75 thf(decl_249, type, esk30_2: $i > ($i > $o) > $i).
% 2.92/0.75 thf(decl_250, type, esk31_2: ($i > $o) > $i > $i).
% 2.92/0.75 thf(decl_251, type, esk32_1: ($i > $o) > $i).
% 2.92/0.75 thf(decl_252, type, esk33_1: ($i > $o) > $i).
% 2.92/0.75 thf(decl_253, type, esk34_1: ($i > $o) > $i).
% 2.92/0.75 thf(decl_254, type, esk35_1: ($i > $o) > $i).
% 2.92/0.75 thf(decl_255, type, esk36_2: ($i > $o) > $i > $i).
% 2.92/0.75 thf(decl_256, type, esk37_1: ($i > $o) > $i).
% 2.92/0.75 thf(decl_257, type, esk38_2: ($i > $o) > $i > $i).
% 2.92/0.75 thf(decl_258, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 2.92/0.75 thf(decl_259, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 2.92/0.75 thf(decl_260, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.92/0.75 thf(decl_261, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 2.92/0.75 thf(decl_262, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.92/0.76 thf(decl_263, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 2.92/0.76 thf(decl_264, type, esk45_2: ($i > $o) > $i > $i).
% 2.92/0.76 thf(decl_265, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 2.92/0.76 thf(decl_266, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 2.92/0.76 thf(decl_267, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.92/0.76 thf(decl_268, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.92/0.76 thf(decl_269, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.92/0.76 thf(decl_270, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.92/0.76 thf(decl_271, type, esk52_2: $i > $i > $i).
% 2.92/0.76 thf(decl_272, type, esk53_2: $i > $i > $i).
% 2.92/0.76 thf(decl_273, type, esk54_2: $i > $i > $i).
% 2.92/0.76 thf(decl_274, type, esk55_2: $i > $i > $i).
% 2.92/0.76 thf(decl_275, type, esk56_2: $i > $i > $i).
% 2.92/0.76 thf(decl_276, type, esk57_2: $i > $i > $i).
% 2.92/0.76 thf(decl_277, type, esk58_2: $i > $i > $i).
% 2.92/0.76 thf(decl_278, type, esk59_3: $i > $i > $i > $i).
% 2.92/0.76 thf(decl_279, type, esk60_3: $i > $i > $i > $i).
% 2.92/0.76 thf(decl_280, type, esk61_3: $i > $i > $i > $i).
% 2.92/0.76 thf(decl_281, type, esk62_3: $i > $i > $i > $i).
% 2.92/0.76 thf(decl_282, type, esk63_2: $i > $i > $i).
% 2.92/0.76 thf(decl_283, type, esk64_2: $i > ($i > $o) > $i).
% 2.92/0.76 thf(decl_284, type, esk65_2: $i > ($i > $o) > $i).
% 2.92/0.76 thf(decl_285, type, esk66_2: $i > ($i > $o) > $i).
% 2.92/0.76 thf(decl_286, type, esk67_2: $i > ($i > $o) > $i).
% 2.92/0.76 thf(decl_287, type, esk68_3: $i > ($i > $o) > $i > $i).
% 2.92/0.76 thf(decl_288, type, esk69_3: $i > ($i > $o) > $i > $i).
% 2.92/0.76 thf(decl_289, type, esk70_2: $i > ($i > $o) > $i).
% 2.92/0.76 thf(decl_290, type, esk71_2: $i > ($i > $o) > $i).
% 2.92/0.76 thf(decl_291, type, esk72_2: $i > ($i > $o) > $i).
% 2.92/0.76 thf(decl_292, type, esk73_1: $i > $i).
% 2.92/0.76 thf(decl_293, type, esk74_0: $i).
% 2.92/0.76 thf(decl_294, type, esk75_0: $i).
% 2.92/0.76 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', ex1)).
% 2.92/0.76 thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ X4))&(((X4)=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', singleton)).
% 2.92/0.76 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', replAx)).
% 2.92/0.76 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', exu)).
% 2.92/0.76 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', descrp)).
% 2.92/0.76 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', exuE1)).
% 2.92/0.76 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', exuE3e)).
% 2.92/0.76 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', nonempty)).
% 2.92/0.76 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', nonemptyI)).
% 2.92/0.76 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', exuE2)).
% 2.92/0.76 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', exuI1)).
% 2.92/0.76 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', exuI3)).
% 2.92/0.76 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', exuI2)).
% 2.92/0.76 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', exuE3u)).
% 2.92/0.76 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', exu__Cong)).
% 2.92/0.76 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', exuEu)).
% 2.92/0.76 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', descr__Cong)).
% 2.92/0.76 thf(iskpair, axiom, ((iskpair)=(^[X4:$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/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', iskpair)).
% 2.92/0.76 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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', singletonprop)).
% 2.92/0.76 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', ex1E1)).
% 2.92/0.76 thf(ex1I, axiom, ((ex1I)<=>![X4:$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/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', ex1I)).
% 2.92/0.76 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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', ex1I2)).
% 2.92/0.76 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', kfstsingleton)).
% 2.92/0.76 thf(setukpairinjR12, 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)=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setukpairinjR12)).
% 2.92/0.76 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', dsetconstrI)).
% 2.92/0.76 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', dsetconstrEL)).
% 2.92/0.76 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', dsetconstrER)).
% 2.92/0.76 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setbeta)).
% 2.92/0.76 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', nonemptyE1)).
% 2.92/0.76 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', nonemptyI1)).
% 2.92/0.76 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setoftrueEq)).
% 2.92/0.76 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', nonemptyImpWitness)).
% 2.92/0.76 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', emptyE1)).
% 2.92/0.76 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', dsetconstr__Cong)).
% 2.92/0.76 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', sepInPowerset)).
% 2.92/0.76 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', sepSubset)).
% 2.92/0.76 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', kpairiskpair)).
% 2.92/0.76 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', kpairp)).
% 2.92/0.76 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', cartprodmempair)).
% 2.92/0.76 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', theprop)).
% 2.92/0.76 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setextAx)).
% 2.92/0.76 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', emptysetAx)).
% 2.92/0.76 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setadjoinAx)).
% 2.92/0.76 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', powersetAx)).
% 2.92/0.76 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setunionAx)).
% 2.92/0.76 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', omega0Ax)).
% 2.92/0.76 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', omegaSAx)).
% 2.92/0.76 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', omegaIndAx)).
% 2.92/0.76 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', foundationAx)).
% 2.92/0.76 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', wellorderingAx)).
% 2.92/0.76 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', prop2setE)).
% 2.92/0.76 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', emptysetE)).
% 2.92/0.76 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', emptysetimpfalse)).
% 2.92/0.76 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', notinemptyset)).
% 2.92/0.76 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setext)).
% 2.92/0.76 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', emptyI)).
% 2.92/0.76 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', noeltsimpempty)).
% 2.92/0.76 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setadjoinIL)).
% 2.92/0.76 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', emptyinunitempty)).
% 2.92/0.76 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setadjoinIR)).
% 2.92/0.76 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setadjoinE)).
% 2.92/0.76 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setadjoinOr)).
% 2.92/0.76 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', powersetI)).
% 2.92/0.76 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', emptyinPowerset)).
% 2.92/0.76 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', emptyInPowerset)).
% 2.92/0.76 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', powersetE)).
% 2.92/0.76 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setunionI)).
% 2.92/0.76 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setunionE)).
% 2.92/0.76 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', subPowSU)).
% 2.92/0.76 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', uniqinunit)).
% 2.92/0.76 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', notinsingleton)).
% 2.92/0.76 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', eqinunit)).
% 2.92/0.76 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', singletonsswitch)).
% 2.92/0.76 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', upairsetE)).
% 2.92/0.76 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', upairsetIL)).
% 2.92/0.76 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', upairsetIR)).
% 2.92/0.76 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', vacuousDall)).
% 2.92/0.76 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', quantDeMorgan1)).
% 2.92/0.76 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', quantDeMorgan2)).
% 2.92/0.76 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', quantDeMorgan3)).
% 2.92/0.76 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', quantDeMorgan4)).
% 2.92/0.76 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', prop2setI)).
% 2.92/0.76 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', prop2set2propI)).
% 2.92/0.76 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', notdexE)).
% 2.92/0.76 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', notdallE)).
% 2.92/0.76 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', inCongP)).
% 2.92/0.76 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', in__Cong)).
% 2.92/0.76 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', emptyset__Cong)).
% 2.92/0.76 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setadjoin__Cong)).
% 2.92/0.76 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', powerset__Cong)).
% 2.92/0.76 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setunion__Cong)).
% 2.92/0.76 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', omega__Cong)).
% 2.92/0.76 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', subsetI1)).
% 2.92/0.76 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', eqimpsubset2)).
% 2.92/0.76 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', eqimpsubset1)).
% 2.92/0.76 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', subsetI2)).
% 2.92/0.76 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', emptysetsubset)).
% 2.92/0.76 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', subsetE)).
% 2.92/0.76 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', subsetE2)).
% 2.92/0.76 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', notsubsetI)).
% 2.92/0.76 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', notequalI1)).
% 2.92/0.76 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', notequalI2)).
% 2.92/0.76 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', subsetRefl)).
% 2.92/0.76 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', subsetTrans)).
% 2.92/0.76 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setadjoinSub)).
% 2.92/0.76 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setadjoinSub2)).
% 2.92/0.76 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', subset2powerset)).
% 2.92/0.76 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setextsub)).
% 2.92/0.76 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', subsetemptysetimpeq)).
% 2.92/0.76 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', powersetI1)).
% 2.92/0.76 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', powersetE1)).
% 2.92/0.76 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', inPowerset)).
% 2.92/0.76 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', powersetsubset)).
% 2.92/0.76 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binunionIL)).
% 2.92/0.76 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', upairset2IR)).
% 2.92/0.76 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binunionIR)).
% 2.92/0.76 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binunionEcases)).
% 2.92/0.76 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binunionE)).
% 2.92/0.76 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binunionLsub)).
% 2.92/0.76 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binunionRsub)).
% 2.92/0.76 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binintersectI)).
% 2.92/0.76 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binintersectSubset5)).
% 2.92/0.76 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binintersectEL)).
% 2.92/0.76 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binintersectLsub)).
% 2.92/0.76 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binintersectSubset2)).
% 2.92/0.76 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binintersectSubset3)).
% 2.92/0.76 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binintersectER)).
% 2.92/0.76 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', disjointsetsI1)).
% 2.92/0.76 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binintersectRsub)).
% 2.92/0.76 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binintersectSubset4)).
% 2.92/0.76 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', binintersectSubset1)).
% 2.92/0.76 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', bs114d)).
% 2.92/0.76 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setminusI)).
% 2.92/0.76 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setminusEL)).
% 2.92/0.76 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setminusER)).
% 2.92/0.76 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setminusSubset2)).
% 2.92/0.76 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setminusERneg)).
% 2.92/0.76 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setminusELneg)).
% 2.92/0.76 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setminusILneg)).
% 2.92/0.76 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setminusIRneg)).
% 2.92/0.76 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setminusLsub)).
% 2.92/0.76 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setminusSubset1)).
% 2.92/0.76 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', symdiffE)).
% 2.92/0.76 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', symdiffI1)).
% 2.92/0.76 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', symdiffI2)).
% 2.92/0.76 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', symdiffIneg1)).
% 2.92/0.76 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', symdiffIneg2)).
% 2.92/0.76 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', secondinupair)).
% 2.92/0.76 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setukpairIL)).
% 2.92/0.76 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setukpairIR)).
% 2.92/0.76 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', singletonsubset)).
% 2.92/0.76 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', singletoninpowerset)).
% 2.92/0.76 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', singletoninpowunion)).
% 2.92/0.76 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', upairset2E)).
% 2.92/0.76 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', upairsubunion)).
% 2.92/0.76 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', upairinpowunion)).
% 2.92/0.76 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', ubforcartprodlem1)).
% 2.92/0.76 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', ubforcartprodlem2)).
% 2.92/0.76 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', ubforcartprodlem3)).
% 2.92/0.76 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', cartprodpairin)).
% 2.92/0.76 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$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/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', cartprodmempair1)).
% 2.92/0.76 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setunionE2)).
% 2.92/0.76 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setunionsingleton1)).
% 2.92/0.76 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setunionsingleton2)).
% 2.92/0.76 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setunionsingleton)).
% 2.92/0.76 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', singletonsuniq)).
% 2.92/0.76 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setukpairinjL1)).
% 2.92/0.76 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', kfstpairEq)).
% 2.92/0.76 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', cartprodfstin)).
% 2.92/0.76 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/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setukpairinjL2)).
% 2.92/0.76 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setukpairinjL)).
% 2.92/0.76 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.JZsdhsTZxp/E---3.1_3206861.p', setukpairinjR11)).
% 2.92/0.76 thf(c_0_172, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X510:$i]:((((in @ X510 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X510 @ emptyset))))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 2.92/0.76 thf(c_0_173, plain, ((singleton)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ Z0))&(((Z0)=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[singleton])).
% 2.92/0.76 thf(c_0_174, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 2.92/0.76 thf(c_0_175, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 2.92/0.76 thf(c_0_176, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 2.92/0.76 thf(c_0_177, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 2.92/0.76 thf(c_0_178, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 2.92/0.76 thf(c_0_179, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 2.92/0.76 thf(c_0_180, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 2.92/0.76 thf(c_0_181, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 2.92/0.76 thf(c_0_182, 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])).
% 2.92/0.76 thf(c_0_183, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 2.92/0.76 thf(c_0_184, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 2.92/0.76 thf(c_0_185, 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])).
% 2.92/0.76 thf(c_0_186, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 2.92/0.76 thf(c_0_187, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 2.92/0.76 thf(c_0_188, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 2.92/0.76 thf(c_0_189, plain, ((iskpair)=(^[Z0:$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])).
% 2.92/0.76 thf(c_0_190, 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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 2.92/0.76 thf(c_0_191, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 2.92/0.76 thf(c_0_192, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X510:$i]:((((in @ X510 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X510 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_172, c_0_173])).
% 2.92/0.76 thf(c_0_193, 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])).
% 2.92/0.76 thf(c_0_194, 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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 2.92/0.76 thf(c_0_195, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 2.92/0.76 thf(c_0_196, 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)=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setukpairinjR12])).
% 2.92/0.76 thf(c_0_197, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X475:$i]:(((((X6 @ X2 @ X475)))&(![X476:$i]:(((((X6 @ X2 @ X476)))=>(((X475)=(X476)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_174, c_0_175])).
% 2.92/0.76 thf(c_0_198, plain, ((descrp)=(![X1:$i > $o]:((((?[X477:$i]:(((((X1 @ X477)))&(![X478:$i]:(((((X1 @ X478)))=>(((X477)=(X478))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_176, c_0_175])).
% 2.92/0.76 thf(c_0_199, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 2.92/0.76 thf(c_0_200, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 2.92/0.76 thf(c_0_201, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 2.92/0.76 thf(c_0_202, plain, ((exuE1)=(![X1:$i > $o]:((((?[X479:$i]:(((((X1 @ X479)))&(![X480:$i]:(((((X1 @ X480)))=>(((X479)=(X480))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_177, c_0_175])).
% 2.92/0.76 thf(c_0_203, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X481:$i]:(((((X1 @ X481)))&(![X482:$i]:(((((X1 @ X482)))=>(((X481)=(X482))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_178, c_0_175])).
% 2.92/0.76 thf(c_0_204, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 2.92/0.76 thf(c_0_205, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_179])).
% 2.92/0.76 thf(c_0_206, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_180, c_0_179])).
% 2.92/0.76 thf(c_0_207, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_179])).
% 2.92/0.76 thf(c_0_208, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 2.92/0.76 thf(c_0_209, plain, ((exuE2)=(![X1:$i > $o]:((((?[X483:$i]:(((((X1 @ X483)))&(![X484:$i]:(((((X1 @ X484)))=>(((X483)=(X484))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_181, c_0_175])).
% 2.92/0.76 thf(c_0_210, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_179])).
% 2.92/0.76 thf(c_0_211, 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])).
% 2.92/0.76 thf(c_0_212, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X485:$i]:(((((X1 @ X485)))&(![X486:$i]:(((((X1 @ X486)))=>(((X485)=(X486)))))))))))))), inference(apply_def,[status(thm)],[c_0_182, c_0_175])).
% 2.92/0.76 thf(c_0_213, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X487:$i]:(((((X1 @ X487)))&(![X488:$i]:(((((X1 @ X488)))=>(((X487)=(X488)))))))))))))))), inference(apply_def,[status(thm)],[c_0_183, c_0_175])).
% 2.92/0.76 thf(c_0_214, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X489:$i]:(((((X1 @ X489)))&(![X490:$i]:(((((X1 @ X490)))=>(((X489)=(X490)))))))))))))), inference(apply_def,[status(thm)],[c_0_184, c_0_175])).
% 2.92/0.76 thf(c_0_215, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X491:$i]:(((((X1 @ X491)))&(![X492:$i]:(((((X1 @ X492)))=>(((X491)=(X492))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_185, c_0_175])).
% 2.92/0.76 thf(c_0_216, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X493:$i]:(((((X1 @ X493)))&(![X494:$i]:(((((X1 @ X494)))=>(((X493)=(X494))))))))))<=>((?[X495:$i]:(((((X17 @ X495)))&(![X496:$i]:(((((X17 @ X496)))=>(((X495)=(X496)))))))))))))))), inference(apply_def,[status(thm)],[c_0_186, c_0_175])).
% 2.92/0.76 thf(c_0_217, plain, ((exuEu)=(![X1:$i > $o]:((((?[X497:$i]:(((((X1 @ X497)))&(![X498:$i]:(((((X1 @ X498)))=>(((X497)=(X498))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_187, c_0_175])).
% 2.92/0.76 thf(c_0_218, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X499:$i]:(((((X1 @ X499)))&(![X500:$i]:(((((X1 @ X500)))=>(((X499)=(X500))))))))))=>((((?[X501:$i]:(((((X17 @ X501)))&(![X502:$i]:(((((X17 @ X502)))=>(((X501)=(X502))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_188, c_0_175])).
% 2.92/0.76 thf(c_0_219, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 2.92/0.76 thf(c_0_220, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 2.92/0.76 thf(c_0_221, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 2.92/0.76 thf(c_0_222, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X503:$i]:((((in @ X503 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(?[X504:$i]:((((in @ X504 @ (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 @ X503 @ emptyset) @ (setadjoin @ (setadjoin @ X503 @ (setadjoin @ X504 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_189])).
% 2.92/0.76 thf(c_0_223, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X505:$i]:((((in @ X505 @ (setunion @ (kpair @ X2 @ X3))))&(?[X506:$i]:((((in @ X506 @ (setunion @ (kpair @ X2 @ X3))))&(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X505 @ emptyset) @ (setadjoin @ (setadjoin @ X505 @ (setadjoin @ X506 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairp, c_0_189])).
% 2.92/0.76 thf(c_0_224, axiom, ((cartprodmempair)=(![X4:$i, X5:$i, X18:$i]:((((in @ X18 @ (cartprod @ X4 @ X5)))=>((?[X507:$i]:((((in @ X507 @ (setunion @ X18)))&(?[X508:$i]:((((in @ X508 @ (setunion @ X18)))&(((X18)=(setadjoin @ (setadjoin @ X507 @ emptyset) @ (setadjoin @ (setadjoin @ X507 @ (setadjoin @ X508 @ emptyset)) @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[cartprodmempair, c_0_189])).
% 2.92/0.76 thf(c_0_225, plain, ((singletonprop)=(![X4:$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)))))=>((?[X509:$i]:((((in @ X509 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(setadjoin @ X509 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_190, c_0_173])).
% 2.92/0.76 thf(c_0_226, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((?[X511:$i]:((((in @ X511 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X511 @ emptyset)))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_191, c_0_192])).
% 2.92/0.76 thf(c_0_227, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>(((![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X3))=>(((X3)=(X2))))))))=>((?[X512:$i]:((((in @ X512 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X512 @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[c_0_193, c_0_192])).
% 2.92/0.76 thf(c_0_228, 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)))))=>((?[X513:$i]:((((in @ X513 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X513 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_194, c_0_192])).
% 2.92/0.76 thf(c_0_229, plain, ((kfstsingleton)=(![X18:$i]:((((?[X514:$i]:((((in @ X514 @ (setunion @ X18)))&(?[X515:$i]:((((in @ X515 @ (setunion @ X18)))&(((X18)=(setadjoin @ (setadjoin @ X514 @ emptyset) @ (setadjoin @ (setadjoin @ X514 @ (setadjoin @ X515 @ emptyset)) @ emptyset)))))))))))=>((?[X516:$i]:((((in @ X516 @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))))&(((dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X516 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_195, c_0_189]), c_0_173])).
% 2.92/0.76 thf(c_0_230, axiom, ((theprop)=(![X21:$i]:((((?[X517:$i]:((((in @ X517 @ X21))&(((X21)=(setadjoin @ X517 @ emptyset)))))))=>((in @ (setunion @ X21) @ X21)))))), inference(apply_def,[status(thm)],[theprop, c_0_173])).
% 2.92/0.76 thf(c_0_231, plain, ((epred1_0)<=>![X547:$i]:(?[X548:$i]:((((![X549:$i]:(((in @ X549 @ X548)=>![X550:$i]:(((in @ X550 @ X549)=>(in @ X550 @ X547)))))&![X551:$i, X552:$i]:((((in @ X551 @ X547)&(in @ X552 @ X547))=>(![X553:$i]:(((in @ X553 @ X548)=>((in @ X551 @ X553)<=>(in @ X552 @ X553))))=>((X551)=(X552))))))&![X554:$i, X555:$i]:((((in @ X554 @ X548)&(in @ X555 @ X548))=>(![X556:$i]:(((in @ X556 @ X554)=>(in @ X556 @ X555)))|![X557:$i]:(((in @ X557 @ X555)=>(in @ X557 @ X554)))))))&![X558:$i]:(((![X559:$i]:(((in @ X559 @ X558)=>(in @ X559 @ X547)))&?[X560:$i]:((in @ X560 @ X558)))=>?[X561:$i, X562:$i]:(((((in @ X561 @ X548)&(in @ X562 @ X558))&~(?[X563:$i]:(((in @ X563 @ X561)&(in @ X563 @ X558)))))&![X564:$i]:(((in @ X564 @ X548)=>(![X565:$i]:(((in @ X565 @ X564)=>(in @ X565 @ X561)))|(in @ X562 @ X564)))))))))))), introduced(definition)).
% 2.92/0.76 thf(c_0_232, negated_conjecture, ~((![X518:$i, X519:$i]:((![X520:$i]:(((in @ X520 @ X518)<=>(in @ X520 @ X519)))=>((X518)=(X519))))=>(![X521:$i]:(~(in @ X521 @ emptyset))=>(![X522:$i, X523:$i, X524:$i]:(((in @ X524 @ (setadjoin @ X522 @ X523))<=>(((X524)=(X522))|(in @ X524 @ X523))))=>(![X525:$i, X526:$i]:(((in @ X526 @ (powerset @ X525))<=>![X527:$i]:(((in @ X527 @ X526)=>(in @ X527 @ X525)))))=>(![X528:$i, X529:$i]:(((in @ X529 @ (setunion @ X528))<=>?[X530:$i]:(((in @ X529 @ X530)&(in @ X530 @ X528)))))=>((in @ emptyset @ omega)=>(![X531:$i]:(((in @ X531 @ omega)=>(in @ (setadjoin @ X531 @ X531) @ omega)))=>(![X532:$i]:((((in @ emptyset @ X532)&![X533:$i]:((((in @ X533 @ omega)&(in @ X533 @ X532))=>(in @ (setadjoin @ X533 @ X533) @ X532))))=>![X534:$i]:(((in @ X534 @ omega)=>(in @ X534 @ X532)))))=>(![X535:$i > $i > $o, X536:$i]:((![X537:$i]:(((in @ X537 @ X536)=>?[X538:$i]:(((X535 @ X537 @ X538)&![X539:$i]:(((X535 @ X537 @ X539)=>((X538)=(X539))))))))=>?[X540:$i]:(![X541:$i]:(((in @ X541 @ X540)<=>?[X542:$i]:(((in @ X542 @ X536)&(X535 @ X542 @ X541))))))))=>(![X543:$i]:((?[X544:$i]:((in @ X544 @ X543))=>?[X545:$i]:(((in @ X545 @ X543)&~(?[X546:$i]:(((in @ X546 @ X545)&(in @ X546 @ X543))))))))=>((epred1_0)=>(![X566:$i > $o]:((?[X567:$i]:(((X566 @ X567)&![X568:$i]:(((X566 @ X568)=>((X567)=(X568))))))=>(X566 @ (descr @ (^[Z0:$i]:(X566 @ Z0))))))=>(![X569:$i, X570:$i > $o, X571:$i]:(((in @ X571 @ X569)=>((X570 @ X571)=>(in @ X571 @ (dsetconstr @ X569 @ X570)))))=>(![X572:$i, X573:$i > $o, X574:$i]:(((in @ X574 @ (dsetconstr @ X572 @ X573))=>(in @ X574 @ X572)))=>(![X575:$i, X576:$i > $o, X577:$i]:(((in @ X577 @ (dsetconstr @ X575 @ X576))=>(X576 @ X577)))=>(![X578:$i > $o]:((?[X579:$i]:(((X578 @ X579)&![X580:$i]:(((X578 @ X580)=>((X579)=(X580))))))=>?[X581:$i]:(((X578 @ X581)&![X582:$i]:(((X578 @ X582)=>((X581)=(X582))))))))=>(![X583:$o, X584:$i]:(((in @ X584 @ (prop2set @ ((X583))))=>(X583)))=>(![X585:$i]:(((in @ X585 @ emptyset)=>![X586:$o]:((X586))))=>(![X587:$i]:(((in @ X587 @ emptyset)=>~($true)))=>(![X588:$i]:(~(in @ X588 @ emptyset))=>(![X589:$i > $o]:((?[X590:$i]:(((X589 @ X590)&![X591:$i]:(((X589 @ X591)=>((X590)=(X591))))))=>?[X592:$i]:((X589 @ X592))))=>(![X593:$i, X594:$i]:((![X595:$i]:(((in @ X595 @ X593)=>(in @ X595 @ X594)))=>(![X596:$i]:(((in @ X596 @ X594)=>(in @ X596 @ X593)))=>((X593)=(X594)))))=>(![X597:$i]:((![X598:$i]:(~(in @ X598 @ X597))=>((X597)=(emptyset))))=>(![X599:$i]:((![X600:$i]:(~(in @ X600 @ X599))=>((X599)=(emptyset))))=>(![X601:$i, X602:$i > $o, X603:$i]:(((in @ X603 @ X601)=>((in @ X603 @ (dsetconstr @ X601 @ X602))<=>(X602 @ X603))))=>(![X604:$i]:((((X604)!=(emptyset))=>?[X605:$i]:((in @ X605 @ X604))))=>(![X606:$i, X607:$i > $o, X608:$i]:(((in @ X608 @ X606)=>((X607 @ X608)=>((dsetconstr @ X606 @ X607)!=(emptyset)))))=>(![X609:$i]:((?[X610:$i]:((in @ X610 @ X609))=>((X609)!=(emptyset))))=>(![X611:$i, X612:$i]:((in @ X611 @ (setadjoin @ X611 @ X612)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X613:$i, X614:$i, X615:$i]:(((in @ X615 @ X614)=>(in @ X615 @ (setadjoin @ X613 @ X614))))=>(![X616:$i, X617:$i, X618:$i]:(((in @ X618 @ (setadjoin @ X616 @ X617))=>![X619:$o]:(((((X618)=(X616))=>(X619))=>(((in @ X618 @ X617)=>(X619))=>(X619))))))=>(![X620:$i, X621:$i, X622:$i]:(((in @ X622 @ (setadjoin @ X620 @ X621))=>(((X622)=(X620))|(in @ X622 @ X621))))=>(![X623:$i]:(((dsetconstr @ X623 @ (^[Z0:$i]:($true)))=(X623)))=>(![X624:$i, X625:$i]:((![X626:$i]:(((in @ X626 @ X625)=>(in @ X626 @ X624)))=>(in @ X625 @ (powerset @ X624))))=>(![X627:$i]:((in @ emptyset @ (powerset @ X627)))=>(![X628:$i]:((in @ emptyset @ (powerset @ X628)))=>(![X629:$i, X630:$i, X631:$i]:(((in @ X630 @ (powerset @ X629))=>((in @ X631 @ X630)=>(in @ X631 @ X629))))=>(![X632:$i, X633:$i, X634:$i]:(((in @ X633 @ X634)=>((in @ X634 @ X632)=>(in @ X633 @ (setunion @ X632)))))=>(![X635:$i, X636:$i]:(((in @ X636 @ (setunion @ X635))=>![X637:$o]:((![X638:$i]:(((in @ X636 @ X638)=>((in @ X638 @ X635)=>(X637))))=>(X637)))))=>(![X639:$i, X640:$i]:(((in @ X640 @ X639)=>(in @ X640 @ (powerset @ (setunion @ X639)))))=>(![X641:$i > $o]:((?[X642:$i]:(((X641 @ X642)&![X643:$i]:(((X641 @ X643)=>((X642)=(X643))))))=>?[X644:$i]:(![X645:$i]:(((X641 @ X645)<=>((X645)=(X644)))))))=>(![X646:$i]:((((X646)!=(emptyset))=>?[X647:$i]:(((in @ X647 @ X646)&$true))))=>(![X648:$i, X649:$i]:(((in @ X648 @ (setadjoin @ X649 @ emptyset))=>((X648)=(X649))))=>(![X650:$i, X651:$i]:((((X650)!=(X651))=>~(in @ X651 @ (setadjoin @ X650 @ emptyset))))=>(![X652:$i, X653:$i]:((((X652)=(X653))=>(in @ X652 @ (setadjoin @ X653 @ emptyset))))=>(![X654:$i, X655:$i]:(((in @ X654 @ (setadjoin @ X655 @ emptyset))=>(in @ X655 @ (setadjoin @ X654 @ emptyset))))=>(![X656:$i, X657:$i, X658:$i]:(((in @ X658 @ (setadjoin @ X656 @ (setadjoin @ X657 @ emptyset)))=>(((X658)=(X656))|((X658)=(X657)))))=>(![X659:$i, X660:$i]:((in @ X659 @ (setadjoin @ X659 @ (setadjoin @ X660 @ emptyset))))=>(![X661:$i, X662:$i]:((in @ X662 @ (setadjoin @ X661 @ (setadjoin @ X662 @ emptyset))))=>(![X663:$i, X664:$i > $o]:((?[X665:$i]:(((in @ X665 @ X663)&(X664 @ X665)))=>(((dsetconstr @ X663 @ X664)=(emptyset))=>~($true))))=>(![X666:$i > $o, X667:$i]:(((in @ X667 @ emptyset)=>(X666 @ X667)))=>(![X668:$i, X669:$i > $o]:((~(![X670:$i]:(((in @ X670 @ X668)=>(X669 @ X670))))=>?[X671:$i]:(((in @ X671 @ X668)&~((X669 @ X671))))))=>(![X672:$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:$i]:(((in @ X683 @ X680)=>(X681 @ X683))))))=>(![X684:$o]:(((X684)=>(in @ emptyset @ (prop2set @ ((X684))))))=>(![X685:$o]:(((X685)=>(set2prop @ (prop2set @ ((X685))))))=>(![X686:$i, X687:$i > $o]:((~(?[X688:$i]:(((in @ X688 @ X686)&(X687 @ X688))))=>![X689:$i]:(((in @ X689 @ X686)=>~((X687 @ X689))))))=>(![X690:$i, X691:$i > $o]:((~(![X692:$i]:(((in @ X692 @ X690)=>(X691 @ X692))))=>?[X693:$i]:(((in @ X693 @ X690)&~((X691 @ X693))))))=>(![X694:$i > $o]:((?[X695:$i]:(((X694 @ X695)&![X696:$i]:(((X694 @ X696)=>((X695)=(X696))))))=>?[X697:$i]:(((X694 @ X697)&![X698:$i]:(((X694 @ X698)=>((X697)=(X698))))))))=>(![X699:$i > $o]:((?[X700:$i]:((X699 @ X700))=>(![X701:$i, X702:$i]:(((X699 @ X701)=>((X699 @ X702)=>((X701)=(X702)))))=>?[X703:$i]:(((X699 @ X703)&![X704:$i]:(((X699 @ X704)=>((X703)=(X704)))))))))=>(![X705:$i > $o]:((?[X706:$i]:(![X707:$i]:(((X705 @ X707)<=>((X707)=(X706)))))=>?[X708:$i]:(((X705 @ X708)&![X709:$i]:(((X705 @ X709)=>((X708)=(X709))))))))=>(![X710:$i, X711:$i]:((((X710)=(X711))=>![X712:$i, X713:$i]:((((X712)=(X713))=>((in @ X712 @ X710)=>(in @ X713 @ X711))))))=>(![X714:$i, X715:$i]:((((X714)=(X715))=>![X716:$i, X717:$i]:((((X716)=(X717))=>((in @ X716 @ X714)<=>(in @ X717 @ X715))))))=>(![X718:$i > $o]:((?[X719:$i]:(((X718 @ X719)&![X720:$i]:(((X718 @ X720)=>((X719)=(X720))))))=>![X721:$i, X722:$i]:(((X718 @ X721)=>((X718 @ X722)=>((X721)=(X722)))))))=>(![X723:$i > $o, X724:$i > $o]:((![X725:$i, X726:$i]:((((X725)=(X726))=>((X723 @ X725)<=>(X724 @ X726))))=>(?[X727:$i]:(((X723 @ X727)&![X728:$i]:(((X723 @ X728)=>((X727)=(X728))))))<=>?[X729:$i]:(((X724 @ X729)&![X730:$i]:(((X724 @ X730)=>((X729)=(X730)))))))))=>(((emptyset)=(emptyset))=>(![X731:$i, X732:$i]:((((X731)=(X732))=>![X733:$i, X734:$i]:((((X733)=(X734))=>((setadjoin @ X731 @ X733)=(setadjoin @ X732 @ X734))))))=>(![X735:$i, X736:$i]:((((X735)=(X736))=>((powerset @ X735)=(powerset @ X736))))=>(![X737:$i, X738:$i]:((((X737)=(X738))=>((setunion @ X737)=(setunion @ X738))))=>(((omega)=(omega))=>(![X739:$i > $o]:((?[X740:$i]:(((X739 @ X740)&![X741:$i]:(((X739 @ X741)=>((X740)=(X741))))))=>![X742:$i, X743:$i]:(((X739 @ X742)=>((X739 @ X743)=>((X742)=(X743)))))))=>(![X744:$i > $o, X745:$i > $o]:((![X746:$i, X747:$i]:((((X746)=(X747))=>((X744 @ X746)<=>(X745 @ X747))))=>(?[X748:$i]:(((X744 @ X748)&![X749:$i]:(((X744 @ X749)=>((X748)=(X749))))))=>(?[X750:$i]:(((X745 @ X750)&![X751:$i]:(((X745 @ X751)=>((X750)=(X751))))))=>((descr @ X744)=(descr @ X745))))))=>(![X752:$i, X753:$i]:((((X752)=(X753))=>![X754:$i > $o, X755:$i > $o]:((![X756:$i]:(((in @ X756 @ X752)=>![X757:$i]:(((in @ X757 @ X753)=>(((X756)=(X757))=>((X754 @ X756)<=>(X755 @ X757)))))))=>((dsetconstr @ X752 @ X754)=(dsetconstr @ X753 @ X755))))))=>(![X758:$i, X759:$i]:((![X760:$i]:(((in @ X760 @ X758)=>(in @ X760 @ X759)))=>(subset @ X758 @ X759)))=>(![X761:$i, X762:$i]:((((X761)=(X762))=>(subset @ X762 @ X761)))=>(![X763:$i, X764:$i]:((((X763)=(X764))=>(subset @ X763 @ X764)))=>(![X765:$i, X766:$i]:((![X767:$i]:(((in @ X767 @ X765)=>(in @ X767 @ X766)))=>(subset @ X765 @ X766)))=>(![X768:$i]:((subset @ emptyset @ X768))=>(![X769:$i, X770:$i, X771:$i]:(((subset @ X769 @ X770)=>((in @ X771 @ X769)=>(in @ X771 @ X770))))=>(![X772:$i, X773:$i, X774:$i]:(((subset @ X772 @ X773)=>(~(in @ X774 @ X773)=>~(in @ X774 @ X772))))=>(![X775:$i, X776:$i, X777:$i]:(((in @ X777 @ X775)=>(~(in @ X777 @ X776)=>~(subset @ X775 @ X776))))=>(![X778:$i, X779:$i]:((~(subset @ X778 @ X779)=>((X778)!=(X779))))=>(![X780:$i, X781:$i, X782:$i]:(((in @ X782 @ X780)=>(~(in @ X782 @ X781)=>((X780)!=(X781)))))=>(![X783:$i]:((subset @ X783 @ X783))=>(![X784:$i, X785:$i, X786:$i]:(((subset @ X784 @ X785)=>((subset @ X785 @ X786)=>(subset @ X784 @ X786))))=>(![X787:$i, X788:$i]:((subset @ X788 @ (setadjoin @ X787 @ X788)))=>(![X789:$i, X790:$i, X791:$i]:(((subset @ X789 @ X791)=>(subset @ X789 @ (setadjoin @ X790 @ X791))))=>(![X792:$i, X793:$i]:(((subset @ X792 @ X793)=>(in @ X792 @ (powerset @ X793))))=>(![X794:$i, X795:$i]:(((subset @ X794 @ X795)=>((subset @ X795 @ X794)=>((X794)=(X795)))))=>(![X796:$i]:(((subset @ X796 @ emptyset)=>((X796)=(emptyset))))=>(![X797:$i, X798:$i]:(((subset @ X798 @ X797)=>(in @ X798 @ (powerset @ X797))))=>(![X799:$i, X800:$i]:(((in @ X800 @ (powerset @ X799))=>(subset @ X800 @ X799)))=>(![X801:$i]:((in @ X801 @ (powerset @ X801)))=>(![X802:$i, X803:$i]:(((subset @ X802 @ X803)=>(subset @ (powerset @ X802) @ (powerset @ X803))))=>(![X804:$i, X805:$i > $o]:((in @ (dsetconstr @ X804 @ X805) @ (powerset @ X804)))=>(![X806:$i, X807:$i > $o]:((subset @ (dsetconstr @ X806 @ X807) @ X806))=>(![X808:$i, X809:$i, X810:$i]:(((in @ X810 @ X808)=>(in @ X810 @ (binunion @ X808 @ X809))))=>(![X811:$i, X812:$i]:((in @ X812 @ (setadjoin @ X811 @ (setadjoin @ X812 @ emptyset))))=>(![X813:$i, X814:$i, X815:$i]:(((in @ X815 @ X814)=>(in @ X815 @ (binunion @ X813 @ X814))))=>(![X816:$i, X817:$i, X818:$i, X819:$o]:(((in @ X818 @ (binunion @ X816 @ X817))=>(((in @ X818 @ X816)=>(X819))=>(((in @ X818 @ X817)=>(X819))=>(X819)))))=>(![X820:$i, X821:$i, X822:$i]:(((in @ X822 @ (binunion @ X820 @ X821))=>((in @ X822 @ X820)|(in @ X822 @ X821))))=>(![X823:$i, X824:$i]:((subset @ X823 @ (binunion @ X823 @ X824)))=>(![X825:$i, X826:$i]:((subset @ X826 @ (binunion @ X825 @ X826)))=>(![X827:$i, X828:$i, X829:$i]:(((in @ X829 @ X827)=>((in @ X829 @ X828)=>(in @ X829 @ (binintersect @ X827 @ X828)))))=>(![X830:$i, X831:$i, X832:$i]:(((subset @ X832 @ X830)=>((subset @ X832 @ X831)=>(subset @ X832 @ (binintersect @ X830 @ X831)))))=>(![X833:$i, X834:$i, X835:$i]:(((in @ X835 @ (binintersect @ X833 @ X834))=>(in @ X835 @ X833)))=>(![X836:$i, X837:$i]:((subset @ (binintersect @ X836 @ X837) @ X836))=>(![X838:$i, X839:$i]:(((subset @ X838 @ X839)=>((binintersect @ X838 @ X839)=(X838))))=>(![X840:$i, X841:$i]:((((binintersect @ X840 @ X841)=(X841))=>(subset @ X841 @ X840)))=>(![X842:$i, X843:$i, X844:$i]:(((in @ X844 @ (binintersect @ X842 @ X843))=>(in @ X844 @ X843)))=>(![X845:$i, X846:$i]:((~(?[X847:$i]:(((in @ X847 @ X845)&(in @ X847 @ X846))))=>((binintersect @ X845 @ X846)=(emptyset))))=>(![X848:$i, X849:$i]:((subset @ (binintersect @ X848 @ X849) @ X849))=>(![X850:$i, X851:$i]:(((subset @ X851 @ X850)=>((binintersect @ X850 @ X851)=(X851))))=>(![X852:$i, X853:$i]:((((binintersect @ X852 @ X853)=(X852))=>(subset @ X852 @ X853)))=>(![X854:$i, X855:$i, X856:$i]:(((binintersect @ X854 @ (binunion @ X855 @ X856))=(binunion @ (binintersect @ X854 @ X855) @ (binintersect @ X854 @ X856))))=>(![X857:$i, X858:$i, X859:$i]:(((in @ X859 @ X857)=>(~(in @ X859 @ X858)=>(in @ X859 @ (setminus @ X857 @ X858)))))=>(![X860:$i, X861:$i, X862:$i]:(((in @ X862 @ (setminus @ X860 @ X861))=>(in @ X862 @ X860)))=>(![X863:$i, X864:$i, X865:$i]:(((in @ X865 @ (setminus @ X863 @ X864))=>~(in @ X865 @ X864)))=>(![X866:$i, X867:$i]:(((subset @ X866 @ X867)=>((setminus @ X866 @ X867)=(emptyset))))=>(![X868:$i, X869:$i, X870:$i]:((~(in @ X870 @ (setminus @ X868 @ X869))=>((in @ X870 @ X868)=>(in @ X870 @ X869))))=>(![X871:$i, X872:$i, X873:$i]:((~(in @ X873 @ (setminus @ X871 @ X872))=>(~(in @ X873 @ X872)=>~(in @ X873 @ X871))))=>(![X874:$i, X875:$i, X876:$i]:((~(in @ X876 @ X874)=>~(in @ X876 @ (setminus @ X874 @ X875))))=>(![X877:$i, X878:$i, X879:$i]:(((in @ X879 @ X878)=>~(in @ X879 @ (setminus @ X877 @ X878))))=>(![X880:$i, X881:$i]:((subset @ (setminus @ X880 @ X881) @ X880))=>(![X882:$i, X883:$i]:((((setminus @ X882 @ X883)=(emptyset))=>(subset @ X882 @ X883)))=>(![X884:$i, X885:$i, X886:$i]:(((in @ X886 @ (symdiff @ X884 @ X885))=>![X887:$o]:((((in @ X886 @ X884)=>(~(in @ X886 @ X885)=>(X887)))=>((~(in @ X886 @ X884)=>((in @ X886 @ X885)=>(X887)))=>(X887))))))=>(![X888:$i, X889:$i, X890:$i]:(((in @ X890 @ X888)=>(~(in @ X890 @ X889)=>(in @ X890 @ (symdiff @ X888 @ X889)))))=>(![X891:$i, X892:$i, X893:$i]:((~(in @ X893 @ X891)=>((in @ X893 @ X892)=>(in @ X893 @ (symdiff @ X891 @ X892)))))=>(![X894:$i, X895:$i, X896:$i]:(((in @ X896 @ X894)=>((in @ X896 @ X895)=>~(in @ X896 @ (symdiff @ X894 @ X895)))))=>(![X897:$i, X898:$i, X899:$i]:((~(in @ X899 @ X897)=>(~(in @ X899 @ X898)=>~(in @ X899 @ (symdiff @ X897 @ X898)))))=>(![X900:$i, X901:$i]:((in @ X901 @ (setadjoin @ X900 @ (setadjoin @ X901 @ emptyset))))=>(![X902:$i, X903:$i]:((in @ X902 @ (setunion @ (setadjoin @ (setadjoin @ X902 @ emptyset) @ (setadjoin @ (setadjoin @ X902 @ (setadjoin @ X903 @ emptyset)) @ emptyset)))))=>(![X904:$i, X905:$i]:((in @ X905 @ (setunion @ (setadjoin @ (setadjoin @ X904 @ emptyset) @ (setadjoin @ (setadjoin @ X904 @ (setadjoin @ X905 @ emptyset)) @ emptyset)))))=>(![X906:$i, X907:$i]:(?[X908:$i]:(((in @ X908 @ (setunion @ (setadjoin @ (setadjoin @ X906 @ emptyset) @ (setadjoin @ (setadjoin @ X906 @ (setadjoin @ X907 @ emptyset)) @ emptyset))))&?[X909:$i]:(((in @ X909 @ (setunion @ (setadjoin @ (setadjoin @ X906 @ emptyset) @ (setadjoin @ (setadjoin @ X906 @ (setadjoin @ X907 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X906 @ emptyset) @ (setadjoin @ (setadjoin @ X906 @ (setadjoin @ X907 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X908 @ emptyset) @ (setadjoin @ (setadjoin @ X908 @ (setadjoin @ X909 @ emptyset)) @ emptyset))))))))=>(![X910:$i, X911:$i]:(?[X912:$i]:(((in @ X912 @ (setunion @ (kpair @ X910 @ X911)))&?[X913:$i]:(((in @ X913 @ (setunion @ (kpair @ X910 @ X911)))&((kpair @ X910 @ X911)=(setadjoin @ (setadjoin @ X912 @ emptyset) @ (setadjoin @ (setadjoin @ X912 @ (setadjoin @ X913 @ emptyset)) @ emptyset))))))))=>(![X914:$i, X915:$i]:(((in @ X915 @ X914)=>(subset @ (setadjoin @ X915 @ emptyset) @ X914)))=>(![X916:$i, X917:$i]:(((in @ X917 @ X916)=>(in @ (setadjoin @ X917 @ emptyset) @ (powerset @ X916))))=>(![X918:$i, X919:$i, X920:$i]:(((in @ X920 @ X918)=>(in @ (setadjoin @ X920 @ emptyset) @ (powerset @ (binunion @ X918 @ X919)))))=>(![X921:$i, X922:$i, X923:$i]:(((in @ X923 @ (setadjoin @ X921 @ (setadjoin @ X922 @ emptyset)))=>(((X923)=(X921))|((X923)=(X922)))))=>(![X924:$i, X925:$i, X926:$i]:(((in @ X926 @ X924)=>![X927:$i]:(((in @ X927 @ X925)=>(subset @ (setadjoin @ X926 @ (setadjoin @ X927 @ emptyset)) @ (binunion @ X924 @ X925))))))=>(![X928:$i, X929:$i, X930:$i]:(((in @ X930 @ X928)=>![X931:$i]:(((in @ X931 @ X929)=>(in @ (setadjoin @ X930 @ (setadjoin @ X931 @ emptyset)) @ (powerset @ (binunion @ X928 @ X929)))))))=>(![X932:$i, X933:$i, X934:$i]:(((in @ X934 @ X932)=>![X935:$i]:(((in @ X935 @ X933)=>(subset @ (setadjoin @ (setadjoin @ X934 @ emptyset) @ (setadjoin @ (setadjoin @ X934 @ (setadjoin @ X935 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X932 @ X933)))))))=>(![X936:$i, X937:$i, X938:$i]:(((in @ X938 @ X936)=>![X939:$i]:(((in @ X939 @ X937)=>(in @ (setadjoin @ (setadjoin @ X938 @ emptyset) @ (setadjoin @ (setadjoin @ X938 @ (setadjoin @ X939 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X936 @ X937))))))))=>(![X940:$i, X941:$i, X942:$i]:(((in @ X942 @ X940)=>![X943:$i]:(((in @ X943 @ X941)=>(in @ (kpair @ X942 @ X943) @ (powerset @ (powerset @ (binunion @ X940 @ X941))))))))=>(![X944:$i, X945:$i, X946:$i]:(((in @ X946 @ X944)=>![X947:$i]:(((in @ X947 @ X945)=>(in @ (kpair @ X946 @ X947) @ (cartprod @ X944 @ X945))))))=>(![X948:$i, X949:$i, X950:$i]:(((in @ X950 @ (cartprod @ X948 @ X949))=>?[X951:$i]:(((in @ X951 @ X948)&?[X952:$i]:(((in @ X952 @ X949)&((X950)=(kpair @ X951 @ X952))))))))=>(![X953:$i, X954:$i, X955:$i]:(((in @ X955 @ (cartprod @ X953 @ X954))=>?[X956:$i]:(((in @ X956 @ (setunion @ X955))&?[X957:$i]:(((in @ X957 @ (setunion @ X955))&((X955)=(setadjoin @ (setadjoin @ X956 @ emptyset) @ (setadjoin @ (setadjoin @ X956 @ (setadjoin @ X957 @ emptyset)) @ emptyset)))))))))=>(![X958:$i, X959:$i]:(((in @ X959 @ (setunion @ X958))=>?[X960:$i]:(((in @ X960 @ X958)&(in @ X959 @ X960)))))=>(![X961:$i]:((subset @ (setunion @ (setadjoin @ X961 @ emptyset)) @ X961))=>(![X962:$i]:((subset @ X962 @ (setunion @ (setadjoin @ X962 @ emptyset))))=>(![X963:$i]:(((setunion @ (setadjoin @ X963 @ emptyset))=(X963)))=>(![X964:$i, X965:$i > $o]:((![X966:$i]:(((in @ X966 @ X964)=>![X967:$i]:(((in @ X967 @ X964)=>((X965 @ X966)=>((X965 @ X967)=>((X966)=(X967))))))))=>(?[X968:$i]:(((in @ X968 @ X964)&(X965 @ X968)))=>?[X969:$i]:(((in @ X969 @ (dsetconstr @ X964 @ X965))&((dsetconstr @ X964 @ X965)=(setadjoin @ X969 @ emptyset)))))))=>(![X970:$i, X971:$i > $o]:((?[X972:$i]:(((in @ X972 @ (dsetconstr @ X970 @ X971))&((dsetconstr @ X970 @ X971)=(setadjoin @ X972 @ emptyset))))=>?[X973:$i]:(((in @ X973 @ X970)&(X971 @ X973)))))=>(![X974:$i, X975:$i > $o, X976:$i]:(((in @ X976 @ X974)=>((X975 @ X976)=>(![X977:$i]:(((in @ X977 @ X974)=>((X975 @ X977)=>((X977)=(X976)))))=>?[X978:$i]:(((in @ X978 @ (dsetconstr @ X974 @ X975))&((dsetconstr @ X974 @ X975)=(setadjoin @ X978 @ emptyset))))))))=>(![X979:$i, X980:$i > $o]:((![X981:$i]:(((in @ X981 @ X979)=>![X982:$i]:(((in @ X982 @ X979)=>((X980 @ X981)=>((X980 @ X982)=>((X981)=(X982))))))))=>(?[X983:$i]:(((in @ X983 @ X979)&(X980 @ X983)))=>?[X984:$i]:(((in @ X984 @ (dsetconstr @ X979 @ X980))&((dsetconstr @ X979 @ X980)=(setadjoin @ X984 @ emptyset)))))))=>(![X985:$i, X986:$i]:((((setadjoin @ X985 @ emptyset)=(setadjoin @ X986 @ emptyset))=>((X985)=(X986))))=>(![X987:$i, X988:$i, X989:$i]:(((in @ (setadjoin @ X989 @ emptyset) @ (setadjoin @ (setadjoin @ X987 @ emptyset) @ (setadjoin @ (setadjoin @ X987 @ (setadjoin @ X988 @ emptyset)) @ emptyset)))=>((X987)=(X989))))=>(![X990:$i]:((?[X991:$i]:(((in @ X991 @ (setunion @ X990))&?[X992:$i]:(((in @ X992 @ (setunion @ X990))&((X990)=(setadjoin @ (setadjoin @ X991 @ emptyset) @ (setadjoin @ (setadjoin @ X991 @ (setadjoin @ X992 @ emptyset)) @ emptyset)))))))=>?[X993:$i]:(((in @ X993 @ (dsetconstr @ (setunion @ X990) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X990)))))&((dsetconstr @ (setunion @ X990) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X990))))=(setadjoin @ X993 @ emptyset))))))=>(![X994:$i]:((?[X995:$i]:(((in @ X995 @ X994)&((X994)=(setadjoin @ X995 @ emptyset))))=>(in @ (setunion @ X994) @ X994)))=>(![X996:$i, X997:$i]:(((kfst @ (kpair @ X996 @ X997))=(X996)))=>(![X998:$i, X999:$i, X1000:$i]:(((in @ X1000 @ (cartprod @ X998 @ X999))=>(in @ (kfst @ X1000) @ X998)))=>(![X1001:$i, X1002:$i, X1003:$i, X1004:$i]:((((setadjoin @ (setadjoin @ X1001 @ emptyset) @ (setadjoin @ (setadjoin @ X1001 @ (setadjoin @ X1002 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1003 @ emptyset) @ (setadjoin @ (setadjoin @ X1003 @ (setadjoin @ X1004 @ emptyset)) @ emptyset)))=>((X1001)=(X1003))))=>(![X1005:$i, X1006:$i, X1007:$i, X1008:$i]:((((kpair @ X1005 @ X1006)=(kpair @ X1007 @ X1008))=>((X1005)=(X1007))))=>(![X1009:$i, X1010:$i]:((((X1009)=(X1010))=>((setadjoin @ X1009 @ (setadjoin @ X1010 @ emptyset))=(setadjoin @ X1009 @ emptyset))))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_196, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_197]), foundationAx]), wellorderingAx]), c_0_198]), c_0_199]), c_0_200]), c_0_201]), c_0_202]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_203]), setext]), emptyI]), noeltsimpempty]), c_0_204]), c_0_205]), c_0_206]), c_0_207]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_208]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_209]), c_0_210]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_211]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_212]), c_0_213]), c_0_214]), inCongP]), in__Cong]), c_0_215]), c_0_216]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_217]), c_0_218]), c_0_219]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_220]), c_0_221]), 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_222]), c_0_223]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), c_0_224]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_225]), c_0_226]), c_0_227]), c_0_228]), singletonsuniq]), setukpairinjL1]), c_0_229]), c_0_230]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11])])]), c_0_231])).
% 2.92/0.76 thf(c_0_233, negated_conjecture, ![X1015:$i, X1016:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1028:$i, X1029:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1037:$i, X1038:$i > $i > $o, X1039:$i, X1041:$i, X1044:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1051:$i, X1052:$i > $o, X1053:$i, X1055:$i, X1056:$i > $o, X1057:$i, X1058:$i, X1059:$i > $o, X1060:$i, X1061:$i, X1062:$i > $o, X1063:$i, X1064:$i > $o, X1065:$i, X1068:$i, X1069:$o, X1070:$i, X1071:$i, X1072:$o, X1073:$i, X1074:$i, X1075:$i > $o, X1076:$i, X1079:$i, X1080:$i, X1083:$i, X1085:$i, X1087:$i, X1088:$i > $o, X1089:$i, X1090:$i, X1092:$i, X1093:$i > $o, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$o, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$o, X1125:$i, X1126:$i, X1127:$i > $o, X1128:$i, X1131:$i, X1132:$i, X1133:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i, X1151:$i > $o, X1152:$i, X1153:$i > $o, X1154:$i, X1155:$i, X1156:$i > $o, X1157:$i, X1159:$i, X1160:$i > $o, X1162:$i, X1163:$i, X1164:$i > $o, X1166:$i, X1167:$i, X1168:$i > $o, X1169:$i, X1171:$o, X1172:$o, X1173:$i, X1174:$i > $o, X1176:$i, X1177:$i, X1178:$i > $o, X1179:$i, X1181:$i > $o, X1182:$i, X1185:$i, X1186:$i > $o, X1187:$i, X1191:$i, X1192:$i > $o, X1193:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i > $o, X1206:$i, X1208:$i, X1209:$i, X1210:$i > $o, X1211:$i > $o, X1214:$i, X1217:$i, X1218:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i > $o, X1231:$i, X1233:$i, X1234:$i, X1235:$i > $o, X1236:$i > $o, X1239:$i, X1241:$i, X1243:$i, X1244:$i, X1245:$i > $o, X1246:$i > $o, X1249:$i, X1250:$i, X1252:$i, X1253:$i, X1254:$i, X1255:$i, X1256:$i, X1257:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$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 > $o, X1297:$i, X1298:$i > $o, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$o, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$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, X1339:$i, X1340:$i, X1341:$i, X1342:$i, X1343:$i, X1344:$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:$i, X1378:$o, X1379:$i, X1380:$i, X1381:$i, X1382:$i, X1383:$i, X1384:$i, 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, X1401:$i, X1402:$i, X1405:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i, X1410:$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:$i, X1444:$i, X1445:$i, X1446:$i, X1449:$i, X1450:$i, X1452:$i, X1453:$i, X1454:$i, X1455:$i, X1456:$i > $o, X1459:$i, X1461:$i, X1462:$i > $o, X1463:$i, X1465:$i, X1466:$i > $o, X1467:$i, X1470:$i, X1471:$i > $o, X1474:$i, X1476:$i, X1477:$i, X1478:$i, X1479:$i, X1480:$i, X1481:$i, X1482:$i, X1483:$i, X1485:$i, X1486:$i, X1487:$i, X1488:$i, X1489:$i, X1490:$i, X1491:$i, X1492:$i, X1493:$i, X1494:$i, X1495:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i, X1501:$i]:((((~(in @ (esk1_2 @ X1015 @ X1016) @ X1015)|~(in @ (esk1_2 @ X1015 @ X1016) @ X1016)|((X1015)=(X1016)))&((in @ (esk1_2 @ X1015 @ X1016) @ X1015)|(in @ (esk1_2 @ X1015 @ X1016) @ X1016)|((X1015)=(X1016))))&(~(in @ X1018 @ emptyset)&(((~(in @ X1021 @ (setadjoin @ X1019 @ X1020))|(((X1021)=(X1019))|(in @ X1021 @ X1020)))&((((X1021)!=(X1019))|(in @ X1021 @ (setadjoin @ X1019 @ X1020)))&(~(in @ X1021 @ X1020)|(in @ X1021 @ (setadjoin @ X1019 @ X1020)))))&(((~(in @ X1023 @ (powerset @ X1022))|(~(in @ X1024 @ X1023)|(in @ X1024 @ X1022)))&(((in @ (esk2_2 @ X1025 @ X1026) @ X1026)|(in @ X1026 @ (powerset @ X1025)))&(~(in @ (esk2_2 @ X1025 @ X1026) @ X1025)|(in @ X1026 @ (powerset @ X1025)))))&(((((in @ X1029 @ (esk3_2 @ X1028 @ X1029))|~(in @ X1029 @ (setunion @ X1028)))&((in @ (esk3_2 @ X1028 @ X1029) @ X1028)|~(in @ X1029 @ (setunion @ X1028))))&(~(in @ X1032 @ X1033)|~(in @ X1033 @ X1031)|(in @ X1032 @ (setunion @ X1031))))&((in @ emptyset @ omega)&((~(in @ X1034 @ omega)|(in @ (setadjoin @ X1034 @ X1034) @ omega))&(((((in @ (esk4_1 @ X1035) @ omega)|~(in @ emptyset @ X1035)|(~(in @ X1037 @ omega)|(in @ X1037 @ X1035)))&((in @ (esk4_1 @ X1035) @ X1035)|~(in @ emptyset @ X1035)|(~(in @ X1037 @ omega)|(in @ X1037 @ X1035))))&(~(in @ (setadjoin @ (esk4_1 @ X1035) @ (esk4_1 @ X1035)) @ X1035)|~(in @ emptyset @ X1035)|(~(in @ X1037 @ omega)|(in @ X1037 @ X1035))))&((((((in @ (esk8_3 @ X1038 @ X1039 @ X1044) @ X1039)|~(in @ X1044 @ (esk7_2 @ X1038 @ X1039))|(in @ (esk5_2 @ X1038 @ X1039) @ X1039))&((X1038 @ (esk8_3 @ X1038 @ X1039 @ X1044) @ X1044)|~(in @ X1044 @ (esk7_2 @ X1038 @ X1039))|(in @ (esk5_2 @ X1038 @ X1039) @ X1039)))&(~(in @ X1047 @ X1039)|~(X1038 @ X1047 @ X1046)|(in @ X1046 @ (esk7_2 @ X1038 @ X1039))|(in @ (esk5_2 @ X1038 @ X1039) @ X1039)))&(((((in @ (esk8_3 @ X1038 @ X1039 @ X1044) @ X1039)|~(in @ X1044 @ (esk7_2 @ X1038 @ X1039))|((X1038 @ (esk5_2 @ X1038 @ X1039) @ (esk6_3 @ X1038 @ X1039 @ X1041))|~(X1038 @ (esk5_2 @ X1038 @ X1039) @ X1041)))&((X1038 @ (esk8_3 @ X1038 @ X1039 @ X1044) @ X1044)|~(in @ X1044 @ (esk7_2 @ X1038 @ X1039))|((X1038 @ (esk5_2 @ X1038 @ X1039) @ (esk6_3 @ X1038 @ X1039 @ X1041))|~(X1038 @ (esk5_2 @ X1038 @ X1039) @ X1041))))&(~(in @ X1047 @ X1039)|~(X1038 @ X1047 @ X1046)|(in @ X1046 @ (esk7_2 @ X1038 @ X1039))|((X1038 @ (esk5_2 @ X1038 @ X1039) @ (esk6_3 @ X1038 @ X1039 @ X1041))|~(X1038 @ (esk5_2 @ X1038 @ X1039) @ X1041))))&((((in @ (esk8_3 @ X1038 @ X1039 @ X1044) @ X1039)|~(in @ X1044 @ (esk7_2 @ X1038 @ X1039))|(((X1041)!=(esk6_3 @ X1038 @ X1039 @ X1041))|~(X1038 @ (esk5_2 @ X1038 @ X1039) @ X1041)))&((X1038 @ (esk8_3 @ X1038 @ X1039 @ X1044) @ X1044)|~(in @ X1044 @ (esk7_2 @ X1038 @ X1039))|(((X1041)!=(esk6_3 @ X1038 @ X1039 @ X1041))|~(X1038 @ (esk5_2 @ X1038 @ X1039) @ X1041))))&(~(in @ X1047 @ X1039)|~(X1038 @ X1047 @ X1046)|(in @ X1046 @ (esk7_2 @ X1038 @ X1039))|(((X1041)!=(esk6_3 @ X1038 @ X1039 @ X1041))|~(X1038 @ (esk5_2 @ X1038 @ X1039) @ X1041))))))&((((in @ (esk9_1 @ X1048) @ X1048)|~(in @ X1049 @ X1048))&(~(in @ X1051 @ (esk9_1 @ X1048))|~(in @ X1051 @ X1048)|~(in @ X1049 @ X1048)))&((epred1_0)&((((X1052 @ (esk10_2 @ X1052 @ X1053))|~(X1052 @ X1053)|(X1052 @ (descr @ X1052)))&(((X1053)!=(esk10_2 @ X1052 @ X1053))|~(X1052 @ X1053)|(X1052 @ (descr @ X1052))))&((~(in @ X1057 @ X1055)|(~(X1056 @ X1057)|(in @ X1057 @ (dsetconstr @ X1055 @ X1056))))&((~(in @ X1060 @ (dsetconstr @ X1058 @ X1059))|(in @ X1060 @ X1058))&((~(in @ X1063 @ (dsetconstr @ X1061 @ X1062))|(X1062 @ X1063))&(((((X1064 @ (esk12_1 @ X1064))|((X1064 @ (esk11_2 @ X1064 @ X1065))|~(X1064 @ X1065)))&(~(X1064 @ X1068)|((esk12_1 @ X1064)=(X1068))|((X1064 @ (esk11_2 @ X1064 @ X1065))|~(X1064 @ X1065))))&(((X1064 @ (esk12_1 @ X1064))|(((X1065)!=(esk11_2 @ X1064 @ X1065))|~(X1064 @ X1065)))&(~(X1064 @ X1068)|((esk12_1 @ X1064)=(X1068))|(((X1065)!=(esk11_2 @ X1064 @ X1065))|~(X1064 @ X1065)))))&((~(in @ X1070 @ (prop2set @ ((X1069))))|(X1069))&((~(in @ X1071 @ emptyset)|(X1072))&((~(in @ X1073 @ emptyset)|~($true))&(~(in @ X1074 @ emptyset)&((((X1075 @ (esk13_2 @ X1075 @ X1076))|~(X1075 @ X1076)|(X1075 @ (esk14_1 @ X1075)))&(((X1076)!=(esk13_2 @ X1075 @ X1076))|~(X1075 @ X1076)|(X1075 @ (esk14_1 @ X1075))))&(((((in @ (esk16_2 @ X1079 @ X1080) @ X1080)|((X1079)=(X1080))|(in @ (esk15_2 @ X1079 @ X1080) @ X1079))&(~(in @ (esk16_2 @ X1079 @ X1080) @ X1079)|((X1079)=(X1080))|(in @ (esk15_2 @ X1079 @ X1080) @ X1079)))&(((in @ (esk16_2 @ X1079 @ X1080) @ X1080)|((X1079)=(X1080))|~(in @ (esk15_2 @ X1079 @ X1080) @ X1080))&(~(in @ (esk16_2 @ X1079 @ X1080) @ X1079)|((X1079)=(X1080))|~(in @ (esk15_2 @ X1079 @ X1080) @ X1080))))&(((in @ (esk17_1 @ X1083) @ X1083)|((X1083)=(emptyset)))&(((in @ (esk18_1 @ X1085) @ X1085)|((X1085)=(emptyset)))&(((~(in @ X1089 @ (dsetconstr @ X1087 @ X1088))|(X1088 @ X1089)|~(in @ X1089 @ X1087))&(~(X1088 @ X1089)|(in @ X1089 @ (dsetconstr @ X1087 @ X1088))|~(in @ X1089 @ X1087)))&((((X1090)=(emptyset))|(in @ (esk19_1 @ X1090) @ X1090))&((~(in @ X1094 @ X1092)|(~(X1093 @ X1094)|((dsetconstr @ X1092 @ X1093)!=(emptyset))))&((~(in @ X1096 @ X1095)|((X1095)!=(emptyset)))&((in @ X1097 @ (setadjoin @ X1097 @ X1098))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1101 @ X1100)|(in @ X1101 @ (setadjoin @ X1099 @ X1100)))&(((((in @ X1104 @ X1103)|(X1105)|((X1104)=(X1102))|~(in @ X1104 @ (setadjoin @ X1102 @ X1103)))&(~(X1105)|(X1105)|((X1104)=(X1102))|~(in @ X1104 @ (setadjoin @ X1102 @ X1103))))&(((in @ X1104 @ X1103)|(X1105)|~(X1105)|~(in @ X1104 @ (setadjoin @ X1102 @ X1103)))&(~(X1105)|(X1105)|~(X1105)|~(in @ X1104 @ (setadjoin @ X1102 @ X1103)))))&((~(in @ X1108 @ (setadjoin @ X1106 @ X1107))|(((X1108)=(X1106))|(in @ X1108 @ X1107)))&(((dsetconstr @ X1109 @ (^[Z0:$i]:($true)))=(X1109))&((((in @ (esk20_2 @ X1110 @ X1111) @ X1111)|(in @ X1111 @ (powerset @ X1110)))&(~(in @ (esk20_2 @ X1110 @ X1111) @ X1110)|(in @ X1111 @ (powerset @ X1110))))&((in @ emptyset @ (powerset @ X1113))&((in @ emptyset @ (powerset @ X1114))&((~(in @ X1116 @ (powerset @ X1115))|(~(in @ X1117 @ X1116)|(in @ X1117 @ X1115)))&((~(in @ X1119 @ X1120)|(~(in @ X1120 @ X1118)|(in @ X1119 @ (setunion @ X1118))))&((((in @ X1122 @ (esk21_3 @ X1121 @ X1122 @ X1123))|(X1123)|~(in @ X1122 @ (setunion @ X1121)))&(((in @ (esk21_3 @ X1121 @ X1122 @ X1123) @ X1121)|(X1123)|~(in @ X1122 @ (setunion @ X1121)))&(~(X1123)|(X1123)|~(in @ X1122 @ (setunion @ X1121)))))&((~(in @ X1126 @ X1125)|(in @ X1126 @ (powerset @ (setunion @ X1125))))&((((~(X1127 @ X1131)|((X1131)=(esk23_1 @ X1127))|((X1127 @ (esk22_2 @ X1127 @ X1128))|~(X1127 @ X1128)))&(((X1132)!=(esk23_1 @ X1127))|(X1127 @ X1132)|((X1127 @ (esk22_2 @ X1127 @ X1128))|~(X1127 @ X1128))))&((~(X1127 @ X1131)|((X1131)=(esk23_1 @ X1127))|(((X1128)!=(esk22_2 @ X1127 @ X1128))|~(X1127 @ X1128)))&(((X1132)!=(esk23_1 @ X1127))|(X1127 @ X1132)|(((X1128)!=(esk22_2 @ X1127 @ X1128))|~(X1127 @ X1128)))))&((((in @ (esk24_1 @ X1133) @ X1133)|((X1133)=(emptyset)))&(($true)|((X1133)=(emptyset))))&((~(in @ X1135 @ (setadjoin @ X1136 @ emptyset))|((X1135)=(X1136)))&((((X1137)=(X1138))|~(in @ X1138 @ (setadjoin @ X1137 @ emptyset)))&((((X1139)!=(X1140))|(in @ X1139 @ (setadjoin @ X1140 @ emptyset)))&((~(in @ X1141 @ (setadjoin @ X1142 @ emptyset))|(in @ X1142 @ (setadjoin @ X1141 @ emptyset)))&((~(in @ X1145 @ (setadjoin @ X1143 @ (setadjoin @ X1144 @ emptyset)))|(((X1145)=(X1143))|((X1145)=(X1144))))&((in @ X1146 @ (setadjoin @ X1146 @ (setadjoin @ X1147 @ emptyset)))&((in @ X1149 @ (setadjoin @ X1148 @ (setadjoin @ X1149 @ emptyset)))&((~(in @ X1152 @ X1150)|~(X1151 @ X1152)|(((dsetconstr @ X1150 @ X1151)!=(emptyset))|~($true)))&((~(in @ X1154 @ emptyset)|(X1153 @ X1154))&((((in @ (esk25_2 @ X1155 @ X1156) @ X1155)|(~(in @ X1157 @ X1155)|(X1156 @ X1157)))&(~(X1156 @ (esk25_2 @ X1155 @ X1156))|(~(in @ X1157 @ X1155)|(X1156 @ X1157))))&((((in @ (esk26_2 @ X1159 @ X1160) @ X1159)|(~(in @ X1162 @ X1159)|~(X1160 @ X1162)))&((X1160 @ (esk26_2 @ X1159 @ X1160))|(~(in @ X1162 @ X1159)|~(X1160 @ X1162))))&((((in @ (esk27_2 @ X1163 @ X1164) @ X1163)|(~(in @ X1166 @ X1163)|~(X1164 @ X1166)))&((X1164 @ (esk27_2 @ X1163 @ X1164))|(~(in @ X1166 @ X1163)|~(X1164 @ X1166))))&((((in @ (esk28_2 @ X1167 @ X1168) @ X1167)|(~(in @ X1169 @ X1167)|(X1168 @ X1169)))&(~(X1168 @ (esk28_2 @ X1167 @ X1168))|(~(in @ X1169 @ X1167)|(X1168 @ X1169))))&((~(X1171)|(in @ emptyset @ (prop2set @ ((X1171)))))&((~(X1172)|(set2prop @ (prop2set @ ((X1172)))))&((((in @ (esk29_2 @ X1173 @ X1174) @ X1173)|(~(in @ X1176 @ X1173)|~(X1174 @ X1176)))&((X1174 @ (esk29_2 @ X1173 @ X1174))|(~(in @ X1176 @ X1173)|~(X1174 @ 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X1376)|~(in @ X1377 @ (symdiff @ X1375 @ X1376)))&(~(X1378)|(X1378)|~(in @ X1377 @ X1376)|~(in @ X1377 @ (symdiff @ X1375 @ X1376)))))&((~(in @ X1377 @ X1375)|(X1378)|~(X1378)|~(in @ X1377 @ (symdiff @ X1375 @ X1376)))&(((in @ X1377 @ X1376)|(X1378)|~(X1378)|~(in @ X1377 @ (symdiff @ X1375 @ X1376)))&(~(X1378)|(X1378)|~(X1378)|~(in @ X1377 @ (symdiff @ X1375 @ X1376)))))))&((~(in @ X1381 @ X1379)|((in @ X1381 @ X1380)|(in @ X1381 @ (symdiff @ X1379 @ X1380))))&(((in @ X1384 @ X1382)|(~(in @ X1384 @ X1383)|(in @ X1384 @ (symdiff @ X1382 @ X1383))))&((~(in @ X1387 @ X1385)|(~(in @ X1387 @ X1386)|~(in @ X1387 @ (symdiff @ X1385 @ X1386))))&(((in @ X1390 @ X1388)|((in @ X1390 @ X1389)|~(in @ X1390 @ (symdiff @ X1388 @ X1389))))&((in @ X1392 @ (setadjoin @ X1391 @ (setadjoin @ X1392 @ emptyset)))&((in @ X1393 @ (setunion @ (setadjoin @ (setadjoin @ X1393 @ emptyset) @ (setadjoin @ (setadjoin @ X1393 @ (setadjoin @ X1394 @ emptyset)) @ emptyset))))&((in @ X1396 @ (setunion @ (setadjoin @ (setadjoin @ X1395 @ emptyset) @ (setadjoin @ (setadjoin @ X1395 @ (setadjoin @ X1396 @ emptyset)) @ emptyset))))&(((in @ (esk55_2 @ X1397 @ X1398) @ (setunion @ (setadjoin @ (setadjoin @ X1397 @ emptyset) @ (setadjoin @ (setadjoin @ X1397 @ (setadjoin @ X1398 @ emptyset)) @ emptyset))))&((in @ (esk56_2 @ X1397 @ X1398) @ (setunion @ (setadjoin @ (setadjoin @ X1397 @ emptyset) @ (setadjoin @ (setadjoin @ X1397 @ (setadjoin @ X1398 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1397 @ emptyset) @ (setadjoin @ (setadjoin @ X1397 @ (setadjoin @ X1398 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X1397 @ X1398) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X1397 @ X1398) @ (setadjoin @ (esk56_2 @ X1397 @ X1398) @ emptyset)) @ emptyset)))))&(((in @ (esk57_2 @ X1401 @ X1402) @ (setunion @ (kpair @ X1401 @ X1402)))&((in @ (esk58_2 @ X1401 @ X1402) @ (setunion @ (kpair @ X1401 @ X1402)))&((kpair @ X1401 @ X1402)=(setadjoin @ (setadjoin @ (esk57_2 @ X1401 @ X1402) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X1401 @ X1402) @ (setadjoin @ (esk58_2 @ X1401 @ X1402) @ emptyset)) @ emptyset)))))&((~(in @ X1406 @ X1405)|(subset @ (setadjoin @ X1406 @ emptyset) @ X1405))&((~(in @ X1408 @ X1407)|(in @ (setadjoin @ X1408 @ emptyset) @ (powerset @ X1407)))&((~(in @ X1411 @ X1409)|(in @ (setadjoin @ X1411 @ emptyset) @ (powerset @ (binunion @ X1409 @ X1410))))&((~(in @ X1414 @ (setadjoin @ X1412 @ (setadjoin @ X1413 @ emptyset)))|(((X1414)=(X1412))|((X1414)=(X1413))))&((~(in @ X1417 @ X1415)|(~(in @ X1418 @ X1416)|(subset @ (setadjoin @ X1417 @ (setadjoin @ X1418 @ emptyset)) @ (binunion @ X1415 @ X1416))))&((~(in @ X1421 @ X1419)|(~(in @ X1422 @ X1420)|(in @ (setadjoin @ X1421 @ (setadjoin @ X1422 @ emptyset)) @ (powerset @ (binunion @ X1419 @ X1420)))))&((~(in @ X1425 @ X1423)|(~(in @ X1426 @ X1424)|(subset @ (setadjoin @ (setadjoin @ X1425 @ emptyset) @ (setadjoin @ (setadjoin @ X1425 @ (setadjoin @ X1426 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1423 @ X1424)))))&((~(in @ X1429 @ X1427)|(~(in @ X1430 @ X1428)|(in @ (setadjoin @ (setadjoin @ X1429 @ emptyset) @ (setadjoin @ (setadjoin @ X1429 @ (setadjoin @ X1430 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1427 @ X1428))))))&((~(in @ X1433 @ X1431)|(~(in @ X1434 @ X1432)|(in @ (kpair @ X1433 @ X1434) @ (powerset @ (powerset @ (binunion @ X1431 @ X1432))))))&((~(in @ X1437 @ X1435)|(~(in @ X1438 @ X1436)|(in @ (kpair @ X1437 @ X1438) @ (cartprod @ X1435 @ X1436))))&((((in @ (esk59_3 @ X1439 @ X1440 @ X1441) @ X1439)|~(in @ X1441 @ (cartprod @ X1439 @ X1440)))&(((in @ (esk60_3 @ X1439 @ X1440 @ X1441) @ X1440)|~(in @ X1441 @ (cartprod @ X1439 @ X1440)))&(((X1441)=(kpair @ (esk59_3 @ X1439 @ X1440 @ X1441) @ (esk60_3 @ X1439 @ X1440 @ X1441)))|~(in @ X1441 @ (cartprod @ X1439 @ X1440)))))&((((in @ (esk61_3 @ X1444 @ X1445 @ X1446) @ (setunion @ X1446))|~(in @ X1446 @ (cartprod @ X1444 @ X1445)))&(((in @ (esk62_3 @ X1444 @ X1445 @ X1446) @ (setunion @ X1446))|~(in @ X1446 @ (cartprod @ X1444 @ X1445)))&(((X1446)=(setadjoin @ (setadjoin @ (esk61_3 @ X1444 @ X1445 @ X1446) @ emptyset) @ (setadjoin @ (setadjoin @ (esk61_3 @ X1444 @ X1445 @ X1446) @ (setadjoin @ (esk62_3 @ X1444 @ X1445 @ X1446) @ emptyset)) @ emptyset)))|~(in @ X1446 @ (cartprod @ X1444 @ X1445)))))&((((in @ (esk63_2 @ X1449 @ X1450) @ X1449)|~(in @ X1450 @ (setunion @ X1449)))&((in @ X1450 @ (esk63_2 @ X1449 @ X1450))|~(in @ X1450 @ (setunion @ X1449))))&((subset @ (setunion @ (setadjoin @ X1452 @ emptyset)) @ X1452)&((subset @ X1453 @ (setunion @ (setadjoin @ X1453 @ emptyset)))&(((setunion @ (setadjoin @ X1454 @ emptyset))=(X1454))&(((((in @ (esk66_2 @ X1455 @ X1456) @ (dsetconstr @ X1455 @ X1456))|(~(in @ X1459 @ X1455)|~(X1456 @ X1459))|(in @ (esk64_2 @ X1455 @ X1456) @ X1455))&(((dsetconstr @ X1455 @ X1456)=(setadjoin @ (esk66_2 @ X1455 @ X1456) @ emptyset))|(~(in @ X1459 @ X1455)|~(X1456 @ X1459))|(in @ (esk64_2 @ X1455 @ X1456) @ X1455)))&((((in @ (esk66_2 @ X1455 @ X1456) @ (dsetconstr @ X1455 @ X1456))|(~(in @ X1459 @ X1455)|~(X1456 @ X1459))|(in @ (esk65_2 @ X1455 @ X1456) @ X1455))&(((dsetconstr @ X1455 @ X1456)=(setadjoin @ (esk66_2 @ X1455 @ X1456) @ emptyset))|(~(in @ X1459 @ X1455)|~(X1456 @ X1459))|(in @ (esk65_2 @ X1455 @ X1456) @ X1455)))&((((in @ (esk66_2 @ X1455 @ X1456) @ (dsetconstr @ X1455 @ X1456))|(~(in @ X1459 @ X1455)|~(X1456 @ X1459))|(X1456 @ (esk64_2 @ X1455 @ X1456)))&(((dsetconstr @ X1455 @ X1456)=(setadjoin @ (esk66_2 @ X1455 @ X1456) @ emptyset))|(~(in @ X1459 @ X1455)|~(X1456 @ X1459))|(X1456 @ (esk64_2 @ X1455 @ X1456))))&((((in @ (esk66_2 @ X1455 @ X1456) @ (dsetconstr @ X1455 @ X1456))|(~(in @ X1459 @ X1455)|~(X1456 @ X1459))|(X1456 @ (esk65_2 @ X1455 @ X1456)))&(((dsetconstr @ X1455 @ X1456)=(setadjoin @ (esk66_2 @ X1455 @ X1456) @ emptyset))|(~(in @ X1459 @ X1455)|~(X1456 @ X1459))|(X1456 @ (esk65_2 @ X1455 @ X1456))))&(((in @ (esk66_2 @ X1455 @ X1456) @ (dsetconstr @ X1455 @ X1456))|(~(in @ X1459 @ X1455)|~(X1456 @ X1459))|((esk64_2 @ X1455 @ X1456)!=(esk65_2 @ X1455 @ X1456)))&(((dsetconstr @ X1455 @ X1456)=(setadjoin @ (esk66_2 @ X1455 @ X1456) @ emptyset))|(~(in @ X1459 @ X1455)|~(X1456 @ X1459))|((esk64_2 @ X1455 @ X1456)!=(esk65_2 @ X1455 @ X1456))))))))&((((in @ (esk67_2 @ X1461 @ X1462) @ X1461)|(~(in @ X1463 @ (dsetconstr @ X1461 @ X1462))|((dsetconstr @ X1461 @ X1462)!=(setadjoin @ X1463 @ emptyset))))&((X1462 @ (esk67_2 @ X1461 @ X1462))|(~(in @ X1463 @ (dsetconstr @ X1461 @ X1462))|((dsetconstr @ X1461 @ X1462)!=(setadjoin @ X1463 @ emptyset)))))&(((((in @ (esk69_3 @ X1465 @ X1466 @ X1467) @ (dsetconstr @ X1465 @ X1466))|(in @ (esk68_3 @ X1465 @ X1466 @ X1467) @ X1465)|~(X1466 @ X1467)|~(in @ X1467 @ X1465))&(((dsetconstr @ X1465 @ X1466)=(setadjoin @ (esk69_3 @ X1465 @ X1466 @ X1467) @ emptyset))|(in @ (esk68_3 @ X1465 @ X1466 @ X1467) @ X1465)|~(X1466 @ X1467)|~(in @ X1467 @ X1465)))&((((in @ (esk69_3 @ X1465 @ X1466 @ X1467) @ (dsetconstr @ X1465 @ X1466))|(X1466 @ (esk68_3 @ X1465 @ X1466 @ X1467))|~(X1466 @ X1467)|~(in @ X1467 @ X1465))&(((dsetconstr @ X1465 @ X1466)=(setadjoin @ (esk69_3 @ X1465 @ X1466 @ X1467) @ emptyset))|(X1466 @ (esk68_3 @ X1465 @ X1466 @ X1467))|~(X1466 @ X1467)|~(in @ X1467 @ X1465)))&(((in @ (esk69_3 @ X1465 @ X1466 @ X1467) @ (dsetconstr @ X1465 @ X1466))|((esk68_3 @ X1465 @ X1466 @ X1467)!=(X1467))|~(X1466 @ X1467)|~(in @ X1467 @ X1465))&(((dsetconstr @ X1465 @ X1466)=(setadjoin @ (esk69_3 @ X1465 @ X1466 @ X1467) @ emptyset))|((esk68_3 @ X1465 @ X1466 @ X1467)!=(X1467))|~(X1466 @ X1467)|~(in @ X1467 @ X1465)))))&(((((in @ (esk72_2 @ X1470 @ X1471) @ (dsetconstr @ X1470 @ X1471))|(~(in @ X1474 @ X1470)|~(X1471 @ X1474))|(in @ (esk70_2 @ X1470 @ X1471) @ X1470))&(((dsetconstr @ X1470 @ X1471)=(setadjoin @ (esk72_2 @ X1470 @ X1471) @ emptyset))|(~(in @ X1474 @ X1470)|~(X1471 @ X1474))|(in @ (esk70_2 @ X1470 @ X1471) @ X1470)))&((((in @ (esk72_2 @ X1470 @ X1471) @ (dsetconstr @ X1470 @ X1471))|(~(in @ X1474 @ X1470)|~(X1471 @ X1474))|(in @ (esk71_2 @ X1470 @ X1471) @ X1470))&(((dsetconstr @ X1470 @ X1471)=(setadjoin @ (esk72_2 @ X1470 @ X1471) @ emptyset))|(~(in @ X1474 @ X1470)|~(X1471 @ X1474))|(in @ (esk71_2 @ X1470 @ X1471) @ X1470)))&((((in @ (esk72_2 @ X1470 @ X1471) @ (dsetconstr @ X1470 @ X1471))|(~(in @ X1474 @ X1470)|~(X1471 @ X1474))|(X1471 @ (esk70_2 @ X1470 @ X1471)))&(((dsetconstr @ X1470 @ X1471)=(setadjoin @ (esk72_2 @ X1470 @ X1471) @ emptyset))|(~(in @ X1474 @ X1470)|~(X1471 @ X1474))|(X1471 @ (esk70_2 @ X1470 @ X1471))))&((((in @ (esk72_2 @ X1470 @ X1471) @ (dsetconstr @ X1470 @ X1471))|(~(in @ X1474 @ X1470)|~(X1471 @ X1474))|(X1471 @ (esk71_2 @ X1470 @ X1471)))&(((dsetconstr @ X1470 @ X1471)=(setadjoin @ (esk72_2 @ X1470 @ X1471) @ emptyset))|(~(in @ X1474 @ X1470)|~(X1471 @ X1474))|(X1471 @ (esk71_2 @ X1470 @ X1471))))&(((in @ (esk72_2 @ X1470 @ X1471) @ (dsetconstr @ X1470 @ X1471))|(~(in @ X1474 @ X1470)|~(X1471 @ X1474))|((esk70_2 @ X1470 @ X1471)!=(esk71_2 @ X1470 @ X1471)))&(((dsetconstr @ X1470 @ X1471)=(setadjoin @ (esk72_2 @ X1470 @ X1471) @ emptyset))|(~(in @ X1474 @ X1470)|~(X1471 @ X1474))|((esk70_2 @ X1470 @ X1471)!=(esk71_2 @ X1470 @ X1471))))))))&((((setadjoin @ X1476 @ emptyset)!=(setadjoin @ X1477 @ emptyset))|((X1476)=(X1477)))&((~(in @ (setadjoin @ X1480 @ emptyset) @ (setadjoin @ (setadjoin @ X1478 @ emptyset) @ (setadjoin @ (setadjoin @ X1478 @ (setadjoin @ X1479 @ emptyset)) @ emptyset)))|((X1478)=(X1480)))&((((in @ (esk73_1 @ X1481) @ (dsetconstr @ (setunion @ X1481) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1481)))))|(~(in @ X1482 @ (setunion @ X1481))|(~(in @ X1483 @ (setunion @ X1481))|((X1481)!=(setadjoin @ (setadjoin @ X1482 @ emptyset) @ (setadjoin @ (setadjoin @ X1482 @ (setadjoin @ X1483 @ emptyset)) @ emptyset))))))&(((dsetconstr @ (setunion @ X1481) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1481))))=(setadjoin @ (esk73_1 @ X1481) @ emptyset))|(~(in @ X1482 @ (setunion @ X1481))|(~(in @ X1483 @ (setunion @ X1481))|((X1481)!=(setadjoin @ (setadjoin @ X1482 @ emptyset) @ (setadjoin @ (setadjoin @ X1482 @ (setadjoin @ X1483 @ emptyset)) @ emptyset)))))))&((~(in @ X1486 @ X1485)|((X1485)!=(setadjoin @ X1486 @ emptyset))|(in @ (setunion @ X1485) @ X1485))&(((kfst @ (kpair @ X1487 @ X1488))=(X1487))&((~(in @ X1491 @ (cartprod @ X1489 @ X1490))|(in @ (kfst @ X1491) @ X1489))&((((setadjoin @ (setadjoin @ X1492 @ emptyset) @ (setadjoin @ (setadjoin @ X1492 @ (setadjoin @ X1493 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1494 @ emptyset) @ (setadjoin @ (setadjoin @ X1494 @ (setadjoin @ X1495 @ emptyset)) @ emptyset)))|((X1492)=(X1494)))&((((kpair @ X1496 @ X1497)!=(kpair @ X1498 @ X1499))|((X1496)=(X1498)))&((((X1500)!=(X1501))|((setadjoin @ X1500 @ (setadjoin @ X1501 @ emptyset))=(setadjoin @ X1500 @ emptyset)))&(((esk74_0)=(esk75_0))&((setadjoin @ (setadjoin @ esk74_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk74_0 @ (setadjoin @ esk75_0 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ esk74_0 @ emptyset) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_232])])])])])])])).
% 2.92/0.76 thf(c_0_234, negated_conjecture, ![X2:$i, X3:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))|((X2)!=(X3)))), inference(split_conjunct,[status(thm)],[c_0_233])).
% 2.92/0.76 thf(c_0_235, negated_conjecture, ((setadjoin @ (setadjoin @ esk74_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk74_0 @ (setadjoin @ esk75_0 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ esk74_0 @ emptyset) @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_233])).
% 2.92/0.76 thf(c_0_236, negated_conjecture, ((esk74_0)=(esk75_0)), inference(split_conjunct,[status(thm)],[c_0_233])).
% 2.92/0.76 thf(c_0_237, negated_conjecture, ![X2:$i]:(((setadjoin @ X2 @ (setadjoin @ X2 @ emptyset))=(setadjoin @ X2 @ emptyset))), inference(er,[status(thm)],[c_0_234])).
% 2.92/0.76 thf(c_0_238, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_235, c_0_236]), c_0_237]), c_0_237])]), ['proof']).
% 2.92/0.76 % SZS output end CNFRefutation
% 2.92/0.76 % Parsed axioms : 369
% 2.92/0.76 % Removed by relevancy pruning/SinE : 0
% 2.92/0.76 % Initial clauses : 521
% 2.92/0.76 % Removed in clause preprocessing : 221
% 2.92/0.76 % Initial clauses in saturation : 300
% 2.92/0.76 % Processed clauses : 1837
% 2.92/0.76 % ...of these trivial : 14
% 2.92/0.76 % ...subsumed : 1219
% 2.92/0.76 % ...remaining for further processing : 603
% 2.92/0.76 % Other redundant clauses eliminated : 24
% 2.92/0.76 % Clauses deleted for lack of memory : 0
% 2.92/0.76 % Backward-subsumed : 1
% 2.92/0.76 % Backward-rewritten : 12
% 2.92/0.76 % Generated clauses : 21297
% 2.92/0.76 % ...of the previous two non-redundant : 18765
% 2.92/0.76 % ...aggressively subsumed : 0
% 2.92/0.76 % Contextual simplify-reflections : 1
% 2.92/0.76 % Paramodulations : 21270
% 2.92/0.76 % Factorizations : 2
% 2.92/0.76 % NegExts : 0
% 2.92/0.76 % Equation resolutions : 25
% 2.92/0.76 % Disequality decompositions : 0
% 2.92/0.76 % Total rewrite steps : 6848
% 2.92/0.76 % ...of those cached : 6599
% 2.92/0.76 % Propositional unsat checks : 0
% 2.92/0.76 % Propositional check models : 0
% 2.92/0.76 % Propositional check unsatisfiable : 0
% 2.92/0.76 % Propositional clauses : 0
% 2.92/0.76 % Propositional clauses after purity: 0
% 2.92/0.76 % Propositional unsat core size : 0
% 2.92/0.76 % Propositional preprocessing time : 0.000
% 2.92/0.76 % Propositional encoding time : 0.000
% 2.92/0.76 % Propositional solver time : 0.000
% 2.92/0.76 % Success case prop preproc time : 0.000
% 2.92/0.76 % Success case prop encoding time : 0.000
% 2.92/0.76 % Success case prop solver time : 0.000
% 2.92/0.76 % Current number of processed clauses : 580
% 2.92/0.76 % Positive orientable unit clauses : 195
% 2.92/0.76 % Positive unorientable unit clauses: 0
% 2.92/0.76 % Negative unit clauses : 2
% 2.92/0.76 % Non-unit-clauses : 383
% 2.92/0.76 % Current number of unprocessed clauses: 17095
% 2.92/0.76 % ...number of literals in the above : 60231
% 2.92/0.76 % Current number of archived formulas : 0
% 2.92/0.76 % Current number of archived clauses : 14
% 2.92/0.76 % Clause-clause subsumption calls (NU) : 13780
% 2.92/0.76 % Rec. Clause-clause subsumption calls : 8152
% 2.92/0.76 % Non-unit clause-clause subsumptions : 803
% 2.92/0.76 % Unit Clause-clause subsumption calls : 449
% 2.92/0.76 % Rewrite failures with RHS unbound : 0
% 2.92/0.76 % BW rewrite match attempts : 951
% 2.92/0.76 % BW rewrite match successes : 10
% 2.92/0.76 % Condensation attempts : 0
% 2.92/0.76 % Condensation successes : 0
% 2.92/0.76 % Termbank termtop insertions : 415934
% 2.92/0.76 % Search garbage collected termcells : 16499
% 2.92/0.76
% 2.92/0.76 % -------------------------------------------------
% 2.92/0.76 % User time : 0.406 s
% 2.92/0.76 % System time : 0.026 s
% 2.92/0.76 % Total time : 0.432 s
% 2.92/0.76 % Maximum resident set size: 7328 pages
% 2.92/0.76
% 2.92/0.76 % -------------------------------------------------
% 2.92/0.76 % User time : 0.415 s
% 2.92/0.76 % System time : 0.033 s
% 2.92/0.76 % Total time : 0.448 s
% 2.92/0.76 % Maximum resident set size: 5120 pages
% 2.92/0.76 % E exiting
%------------------------------------------------------------------------------