%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU775^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 08:25:34 AM UTC 2026
% Result : Theorem 0.08s 0.21s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU775^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 14:27:33 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running higher-order theorem proving
% 0.08/0.16 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p
% 0.08/0.21 % Version: 3.5.1-ho
% 0.08/0.21 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.08/0.21 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.21 % Starting ehoh_best5 with 300s (1) cores
% 0.08/0.21 % Starting almost_fo_3_lam with 300s (1) cores
% 0.08/0.21 % Starting new_bool_5 with 300s (1) cores
% 0.08/0.21 % Starting pre_casc_3 with 300s (1) cores
% 0.08/0.21 % Starting ho_unfolding_8 with 300s (1) cores
% 0.08/0.21 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.08/0.21 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.21 % Starting new_ho_5 with 300s (1) cores
% 0.08/0.21 % pre_casc_3 with pid 178884 completed with status 0
% 0.08/0.21 % Result found by pre_casc_3
% 0.08/0.21 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.08/0.21 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.21 % Starting ehoh_best5 with 300s (1) cores
% 0.08/0.21 % Starting almost_fo_3_lam with 300s (1) cores
% 0.08/0.21 % Starting new_bool_5 with 300s (1) cores
% 0.08/0.21 % Starting pre_casc_3 with 300s (1) cores
% 0.08/0.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,10,,5,20000,3.0,true))
% 0.08/0.21 % SinE strategy is GSinE(CountFormulas,hypos,10,,5,20000,3.0,true)
% 0.08/0.21 % Search class: HGUSM-FSLM32-MHFMMFBN
% 0.08/0.21 % partial match(2): HGHSM-FSLM32-MHFMMSBN
% 0.08/0.21 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.21 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.21 % SubtermCWHack with pid 178892 completed with status 0
% 0.08/0.21 % Result found by SubtermCWHack
% 0.08/0.21 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.08/0.21 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.21 % Starting ehoh_best5 with 300s (1) cores
% 0.08/0.21 % Starting almost_fo_3_lam with 300s (1) cores
% 0.08/0.21 % Starting new_bool_5 with 300s (1) cores
% 0.08/0.21 % Starting pre_casc_3 with 300s (1) cores
% 0.08/0.21 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,10,,5,20000,3.0,true))
% 0.08/0.21 % SinE strategy is GSinE(CountFormulas,hypos,10,,5,20000,3.0,true)
% 0.08/0.21 % Search class: HGUSM-FSLM32-MHFMMFBN
% 0.08/0.21 % partial match(2): HGHSM-FSLM32-MHFMMSBN
% 0.08/0.21 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.21 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.21 % Preprocessing time : 0.003 s
% 0.08/0.21
% 0.08/0.21 % Proof found!
% 0.08/0.21 % SZS status Theorem
% 0.08/0.21 % SZS output start CNFRefutation
% 0.08/0.21 thf(decl_23, type, in: $i > $i > $o).
% 0.08/0.21 thf(decl_25, type, setextAx: $o).
% 0.08/0.21 thf(decl_26, type, emptyset: $i).
% 0.08/0.21 thf(decl_27, type, emptysetAx: $o).
% 0.08/0.21 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.08/0.21 thf(decl_29, type, setadjoinAx: $o).
% 0.08/0.21 thf(decl_31, type, powersetAx: $o).
% 0.08/0.21 thf(decl_32, type, setunion: $i > $i).
% 0.08/0.21 thf(decl_33, type, setunionAx: $o).
% 0.08/0.21 thf(decl_35, type, omega0Ax: $o).
% 0.08/0.21 thf(decl_36, type, omegaSAx: $o).
% 0.08/0.21 thf(decl_37, type, omegaIndAx: $o).
% 0.08/0.21 thf(decl_38, type, replAx: $o).
% 0.08/0.21 thf(decl_39, type, foundationAx: $o).
% 0.08/0.21 thf(decl_40, type, wellorderingAx: $o).
% 0.08/0.21 thf(decl_42, type, descrp: $o).
% 0.08/0.21 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_44, type, dsetconstrI: $o).
% 0.08/0.21 thf(decl_45, type, dsetconstrEL: $o).
% 0.08/0.21 thf(decl_46, type, dsetconstrER: $o).
% 0.08/0.21 thf(decl_47, type, exuE1: $o).
% 0.08/0.21 thf(decl_49, type, prop2setE: $o).
% 0.08/0.21 thf(decl_50, type, emptysetE: $o).
% 0.08/0.21 thf(decl_51, type, emptysetimpfalse: $o).
% 0.08/0.21 thf(decl_52, type, notinemptyset: $o).
% 0.08/0.21 thf(decl_53, type, exuE3e: $o).
% 0.08/0.21 thf(decl_54, type, setext: $o).
% 0.08/0.21 thf(decl_55, type, emptyI: $o).
% 0.08/0.21 thf(decl_56, type, noeltsimpempty: $o).
% 0.08/0.21 thf(decl_57, type, setbeta: $o).
% 0.08/0.21 thf(decl_59, type, nonemptyE1: $o).
% 0.08/0.21 thf(decl_60, type, nonemptyI: $o).
% 0.08/0.21 thf(decl_61, type, nonemptyI1: $o).
% 0.08/0.21 thf(decl_62, type, setadjoinIL: $o).
% 0.08/0.21 thf(decl_63, type, emptyinunitempty: $o).
% 0.08/0.21 thf(decl_64, type, setadjoinIR: $o).
% 0.08/0.21 thf(decl_65, type, setadjoinE: $o).
% 0.08/0.21 thf(decl_66, type, setadjoinOr: $o).
% 0.08/0.21 thf(decl_67, type, setoftrueEq: $o).
% 0.08/0.21 thf(decl_68, type, powersetI: $o).
% 0.08/0.21 thf(decl_69, type, emptyinPowerset: $o).
% 0.08/0.21 thf(decl_70, type, emptyInPowerset: $o).
% 0.08/0.21 thf(decl_71, type, powersetE: $o).
% 0.08/0.21 thf(decl_72, type, setunionI: $o).
% 0.08/0.21 thf(decl_73, type, setunionE: $o).
% 0.08/0.21 thf(decl_74, type, subPowSU: $o).
% 0.08/0.21 thf(decl_75, type, exuE2: $o).
% 0.08/0.21 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.08/0.21 thf(decl_77, type, uniqinunit: $o).
% 0.08/0.21 thf(decl_78, type, notinsingleton: $o).
% 0.08/0.21 thf(decl_79, type, eqinunit: $o).
% 0.08/0.21 thf(decl_80, type, singletonsswitch: $o).
% 0.08/0.21 thf(decl_81, type, upairsetE: $o).
% 0.08/0.21 thf(decl_82, type, upairsetIL: $o).
% 0.08/0.21 thf(decl_83, type, upairsetIR: $o).
% 0.08/0.21 thf(decl_84, type, emptyE1: $o).
% 0.08/0.21 thf(decl_85, type, vacuousDall: $o).
% 0.08/0.21 thf(decl_86, type, quantDeMorgan1: $o).
% 0.08/0.21 thf(decl_87, type, quantDeMorgan2: $o).
% 0.08/0.21 thf(decl_88, type, quantDeMorgan3: $o).
% 0.08/0.21 thf(decl_89, type, quantDeMorgan4: $o).
% 0.08/0.21 thf(decl_90, type, prop2setI: $o).
% 0.08/0.21 thf(decl_92, type, prop2set2propI: $o).
% 0.08/0.21 thf(decl_93, type, notdexE: $o).
% 0.08/0.21 thf(decl_94, type, notdallE: $o).
% 0.08/0.21 thf(decl_95, type, exuI1: $o).
% 0.08/0.21 thf(decl_96, type, exuI3: $o).
% 0.08/0.21 thf(decl_97, type, exuI2: $o).
% 0.08/0.21 thf(decl_98, type, inCongP: $o).
% 0.08/0.21 thf(decl_99, type, in__Cong: $o).
% 0.08/0.21 thf(decl_100, type, exuE3u: $o).
% 0.08/0.21 thf(decl_101, type, exu__Cong: $o).
% 0.08/0.21 thf(decl_102, type, emptyset__Cong: $o).
% 0.08/0.21 thf(decl_103, type, setadjoin__Cong: $o).
% 0.08/0.21 thf(decl_104, type, powerset__Cong: $o).
% 0.08/0.21 thf(decl_105, type, setunion__Cong: $o).
% 0.08/0.21 thf(decl_106, type, omega__Cong: $o).
% 0.08/0.21 thf(decl_107, type, exuEu: $o).
% 0.08/0.21 thf(decl_108, type, descr__Cong: $o).
% 0.08/0.21 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.08/0.21 thf(decl_110, type, subset: $i > $i > $o).
% 0.08/0.21 thf(decl_113, type, subsetI1: $o).
% 0.08/0.21 thf(decl_114, type, eqimpsubset2: $o).
% 0.08/0.21 thf(decl_115, type, eqimpsubset1: $o).
% 0.08/0.21 thf(decl_116, type, subsetI2: $o).
% 0.08/0.21 thf(decl_117, type, emptysetsubset: $o).
% 0.08/0.21 thf(decl_118, type, subsetE: $o).
% 0.08/0.21 thf(decl_119, type, subsetE2: $o).
% 0.08/0.21 thf(decl_120, type, notsubsetI: $o).
% 0.08/0.21 thf(decl_121, type, notequalI1: $o).
% 0.08/0.21 thf(decl_122, type, notequalI2: $o).
% 0.08/0.21 thf(decl_123, type, subsetRefl: $o).
% 0.08/0.21 thf(decl_124, type, subsetTrans: $o).
% 0.08/0.21 thf(decl_125, type, setadjoinSub: $o).
% 0.08/0.21 thf(decl_126, type, setadjoinSub2: $o).
% 0.08/0.21 thf(decl_127, type, subset2powerset: $o).
% 0.08/0.21 thf(decl_128, type, setextsub: $o).
% 0.08/0.21 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.08/0.21 thf(decl_130, type, powersetI1: $o).
% 0.08/0.21 thf(decl_131, type, powersetE1: $o).
% 0.08/0.21 thf(decl_132, type, inPowerset: $o).
% 0.08/0.21 thf(decl_133, type, powersetsubset: $o).
% 0.08/0.21 thf(decl_134, type, sepInPowerset: $o).
% 0.08/0.21 thf(decl_135, type, sepSubset: $o).
% 0.08/0.21 thf(decl_137, type, binunionIL: $o).
% 0.08/0.21 thf(decl_138, type, upairset2IR: $o).
% 0.08/0.21 thf(decl_139, type, binunionIR: $o).
% 0.08/0.21 thf(decl_140, type, binunionEcases: $o).
% 0.08/0.21 thf(decl_141, type, binunionE: $o).
% 0.08/0.21 thf(decl_142, type, binunionLsub: $o).
% 0.08/0.21 thf(decl_143, type, binunionRsub: $o).
% 0.08/0.21 thf(decl_145, type, binintersectI: $o).
% 0.08/0.21 thf(decl_146, type, binintersectSubset5: $o).
% 0.08/0.21 thf(decl_147, type, binintersectEL: $o).
% 0.08/0.21 thf(decl_148, type, binintersectLsub: $o).
% 0.08/0.21 thf(decl_149, type, binintersectSubset2: $o).
% 0.08/0.21 thf(decl_150, type, binintersectSubset3: $o).
% 0.08/0.21 thf(decl_151, type, binintersectER: $o).
% 0.08/0.21 thf(decl_152, type, disjointsetsI1: $o).
% 0.08/0.21 thf(decl_153, type, binintersectRsub: $o).
% 0.08/0.21 thf(decl_154, type, binintersectSubset4: $o).
% 0.08/0.21 thf(decl_155, type, binintersectSubset1: $o).
% 0.08/0.21 thf(decl_156, type, bs114d: $o).
% 0.08/0.21 thf(decl_159, type, setminusI: $o).
% 0.08/0.21 thf(decl_160, type, setminusEL: $o).
% 0.08/0.21 thf(decl_161, type, setminusER: $o).
% 0.08/0.21 thf(decl_162, type, setminusSubset2: $o).
% 0.08/0.21 thf(decl_163, type, setminusERneg: $o).
% 0.08/0.21 thf(decl_164, type, setminusELneg: $o).
% 0.08/0.21 thf(decl_165, type, setminusILneg: $o).
% 0.08/0.21 thf(decl_166, type, setminusIRneg: $o).
% 0.08/0.21 thf(decl_167, type, setminusLsub: $o).
% 0.08/0.21 thf(decl_168, type, setminusSubset1: $o).
% 0.08/0.21 thf(decl_170, type, symdiffE: $o).
% 0.08/0.21 thf(decl_171, type, symdiffI1: $o).
% 0.08/0.21 thf(decl_172, type, symdiffI2: $o).
% 0.08/0.21 thf(decl_173, type, symdiffIneg1: $o).
% 0.08/0.21 thf(decl_174, type, symdiffIneg2: $o).
% 0.08/0.21 thf(decl_175, type, iskpair: $i > $o).
% 0.08/0.21 thf(decl_176, type, secondinupair: $o).
% 0.08/0.21 thf(decl_177, type, setukpairIL: $o).
% 0.08/0.21 thf(decl_178, type, setukpairIR: $o).
% 0.08/0.21 thf(decl_179, type, kpairiskpair: $o).
% 0.08/0.21 thf(decl_180, type, kpair: $i > $i > $i).
% 0.08/0.21 thf(decl_181, type, kpairp: $o).
% 0.08/0.21 thf(decl_182, type, cartprod: $i > $i > $i).
% 0.08/0.21 thf(decl_183, type, singletonsubset: $o).
% 0.08/0.21 thf(decl_184, type, singletoninpowerset: $o).
% 0.08/0.21 thf(decl_185, type, singletoninpowunion: $o).
% 0.08/0.21 thf(decl_186, type, upairset2E: $o).
% 0.08/0.21 thf(decl_187, type, upairsubunion: $o).
% 0.08/0.21 thf(decl_188, type, upairinpowunion: $o).
% 0.08/0.21 thf(decl_189, type, ubforcartprodlem1: $o).
% 0.08/0.21 thf(decl_190, type, ubforcartprodlem2: $o).
% 0.08/0.21 thf(decl_191, type, ubforcartprodlem3: $o).
% 0.08/0.21 thf(decl_192, type, cartprodpairin: $o).
% 0.08/0.21 thf(decl_193, type, cartprodmempair1: $o).
% 0.08/0.21 thf(decl_194, type, cartprodmempair: $o).
% 0.08/0.21 thf(decl_195, type, setunionE2: $o).
% 0.08/0.21 thf(decl_196, type, setunionsingleton1: $o).
% 0.08/0.21 thf(decl_197, type, setunionsingleton2: $o).
% 0.08/0.21 thf(decl_198, type, setunionsingleton: $o).
% 0.08/0.21 thf(decl_199, type, singleton: $i > $o).
% 0.08/0.21 thf(decl_200, type, singletonprop: $o).
% 0.08/0.21 thf(decl_202, type, ex1E1: $o).
% 0.08/0.21 thf(decl_203, type, ex1I: $o).
% 0.08/0.21 thf(decl_204, type, ex1I2: $o).
% 0.08/0.21 thf(decl_205, type, singletonsuniq: $o).
% 0.08/0.21 thf(decl_210, type, setukpairinjL1: $o).
% 0.08/0.21 thf(decl_211, type, kfstsingleton: $o).
% 0.08/0.21 thf(decl_212, type, theprop: $o).
% 0.08/0.21 thf(decl_213, type, kfst: $i > $i).
% 0.08/0.21 thf(decl_214, type, kfstpairEq: $o).
% 0.08/0.21 thf(decl_215, type, cartprodfstin: $o).
% 0.08/0.21 thf(decl_216, type, setukpairinjL2: $o).
% 0.08/0.21 thf(decl_217, type, setukpairinjL: $o).
% 0.08/0.21 thf(decl_218, type, setukpairinjR11: $o).
% 0.08/0.21 thf(decl_219, type, setukpairinjR12: $o).
% 0.08/0.21 thf(decl_220, type, setukpairinjR1: $o).
% 0.08/0.21 thf(decl_221, type, upairequniteq: $o).
% 0.08/0.21 thf(decl_222, type, setukpairinjR2: $o).
% 0.08/0.21 thf(decl_223, type, setukpairinjR: $o).
% 0.08/0.21 thf(decl_224, type, ksndsingleton: $o).
% 0.08/0.21 thf(decl_225, type, ksnd: $i > $i).
% 0.08/0.21 thf(decl_226, type, ksndpairEq: $o).
% 0.08/0.21 thf(decl_227, type, kpairsurjEq: $o).
% 0.08/0.21 thf(decl_228, type, cartprodsndin: $o).
% 0.08/0.21 thf(decl_229, type, cartprodpairmemEL: $o).
% 0.08/0.21 thf(decl_230, type, cartprodpairmemER: $o).
% 0.08/0.21 thf(decl_231, type, cartprodmempaircEq: $o).
% 0.08/0.21 thf(decl_232, type, cartprodfstpairEq: $o).
% 0.08/0.21 thf(decl_233, type, cartprodsndpairEq: $o).
% 0.08/0.21 thf(decl_234, type, cartprodpairsurjEq: $o).
% 0.08/0.21 thf(decl_235, type, breln: $i > $i > $i > $o).
% 0.08/0.21 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 0.08/0.21 thf(decl_237, type, dpsetconstrI: $o).
% 0.08/0.21 thf(decl_238, type, dpsetconstrSub: $o).
% 0.08/0.21 thf(decl_239, type, setOfPairsIsBReln: $o).
% 0.08/0.21 thf(decl_240, type, dpsetconstrERa: $o).
% 0.08/0.21 thf(decl_241, type, dpsetconstrEL1: $o).
% 0.08/0.21 thf(decl_242, type, dpsetconstrEL2: $o).
% 0.08/0.21 thf(decl_243, type, dpsetconstrER: $o).
% 0.08/0.21 thf(decl_244, type, func: $i > $i > $i > $o).
% 0.08/0.21 thf(decl_246, type, funcImageSingleton: $o).
% 0.08/0.21 thf(decl_247, type, apProp: $o).
% 0.08/0.21 thf(decl_249, type, app: $o).
% 0.08/0.21 thf(decl_250, type, infuncsetfunc: $o).
% 0.08/0.21 thf(decl_251, type, ap2p: $o).
% 0.08/0.21 thf(decl_252, type, funcinfuncset: $o).
% 0.08/0.21 thf(decl_253, type, lamProp: $o).
% 0.08/0.21 thf(decl_255, type, lamp: $o).
% 0.08/0.21 thf(decl_256, type, lam2p: $o).
% 0.08/0.21 thf(decl_257, type, brelnall1: $o).
% 0.08/0.21 thf(decl_258, type, brelnall2: $o).
% 0.08/0.21 thf(decl_259, type, ex1E2: $o).
% 0.08/0.21 thf(decl_260, type, funcGraphProp1: $o).
% 0.08/0.21 thf(decl_261, type, funcGraphProp3: $o).
% 0.08/0.21 thf(decl_262, type, funcGraphProp2: $o).
% 0.08/0.21 thf(decl_263, type, funcextLem: $o).
% 0.08/0.21 thf(decl_264, type, funcGraphProp4: $o).
% 0.08/0.21 thf(decl_265, type, subbreln: $o).
% 0.08/0.21 thf(decl_266, type, eqbreln: $o).
% 0.08/0.21 thf(decl_267, type, funcext: $o).
% 0.08/0.21 thf(decl_268, type, funcext2: $o).
% 0.08/0.21 thf(decl_269, type, ap2apEq1: $o).
% 0.08/0.21 thf(decl_270, type, ap2apEq2: $o).
% 0.08/0.21 thf(decl_271, type, beta1: $o).
% 0.08/0.21 thf(decl_272, type, eta1: $o).
% 0.08/0.21 thf(decl_273, type, lam2lamEq: $o).
% 0.08/0.21 thf(decl_274, type, beta2: $o).
% 0.08/0.21 thf(decl_275, type, eta2: $o).
% 0.08/0.21 thf(decl_276, type, iffalseProp1: $o).
% 0.08/0.21 thf(decl_277, type, iffalseProp2: $o).
% 0.08/0.21 thf(decl_278, type, iftrueProp1: $o).
% 0.08/0.21 thf(decl_279, type, iftrueProp2: $o).
% 0.08/0.21 thf(decl_280, type, ifSingleton: $o).
% 0.08/0.21 thf(decl_282, type, ifp: $o).
% 0.08/0.21 thf(decl_283, type, theeq: $o).
% 0.08/0.21 thf(decl_284, type, iftrue: $o).
% 0.08/0.21 thf(decl_285, type, iffalse: $o).
% 0.08/0.21 thf(decl_286, type, iftrueorfalse: $o).
% 0.08/0.21 thf(decl_287, type, binintersectT_lem: $o).
% 0.08/0.21 thf(decl_288, type, binunionT_lem: $o).
% 0.08/0.21 thf(decl_289, type, powersetT_lem: $o).
% 0.08/0.21 thf(decl_290, type, setminusT_lem: $o).
% 0.08/0.21 thf(decl_291, type, complementT_lem: $o).
% 0.08/0.21 thf(decl_292, type, setextT: $o).
% 0.08/0.21 thf(decl_293, type, subsetTI: $o).
% 0.08/0.21 thf(decl_294, type, powersetTI1: $o).
% 0.08/0.21 thf(decl_295, type, powersetTE1: $o).
% 0.08/0.21 thf(decl_296, type, complementTI1: $o).
% 0.08/0.21 thf(decl_297, type, complementTE1: $o).
% 0.08/0.21 thf(decl_298, type, binintersectTELcontra: $o).
% 0.08/0.21 thf(decl_299, type, binintersectTERcontra: $o).
% 0.08/0.21 thf(decl_300, type, contrasubsetT: $o).
% 0.08/0.21 thf(decl_301, type, contrasubsetT1: $o).
% 0.08/0.21 thf(decl_302, type, contrasubsetT2: $o).
% 0.08/0.21 thf(decl_303, type, contrasubsetT3: $o).
% 0.08/0.21 thf(decl_304, type, doubleComplementI1: $o).
% 0.08/0.21 thf(decl_305, type, doubleComplementE1: $o).
% 0.08/0.21 thf(decl_306, type, doubleComplementSub1: $o).
% 0.08/0.21 thf(decl_307, type, doubleComplementSub2: $o).
% 0.08/0.21 thf(decl_308, type, doubleComplementEq: $o).
% 0.08/0.21 thf(decl_309, type, complementTnotintersectT: $o).
% 0.08/0.21 thf(decl_310, type, complementImpComplementIntersect: $o).
% 0.08/0.21 thf(decl_311, type, complementSubsetComplementIntersect: $o).
% 0.08/0.21 thf(decl_312, type, complementInPowersetComplementIntersect: $o).
% 0.08/0.21 thf(decl_313, type, contraSubsetComplement: $o).
% 0.08/0.21 thf(decl_314, type, complementTcontraSubset: $o).
% 0.08/0.21 thf(decl_315, type, binunionTILcontra: $o).
% 0.08/0.21 thf(decl_316, type, binunionTIRcontra: $o).
% 0.08/0.21 thf(decl_317, type, inIntersectImpInUnion: $o).
% 0.08/0.21 thf(decl_318, type, inIntersectImpInUnion2: $o).
% 0.08/0.21 thf(decl_319, type, inIntersectImpInIntersectUnions: $o).
% 0.08/0.21 thf(decl_320, type, intersectInPowersetIntersectUnions: $o).
% 0.08/0.21 thf(decl_321, type, inComplementUnionImpNotIn1: $o).
% 0.08/0.21 thf(decl_322, type, inComplementUnionImpInComplement1: $o).
% 0.08/0.21 thf(decl_323, type, binunionTE: $o).
% 0.08/0.21 thf(decl_324, type, binunionTEcontra: $o).
% 0.08/0.21 thf(decl_325, type, demorgan2a1: $o).
% 0.08/0.21 thf(decl_326, type, complementUnionInPowersetComplement: $o).
% 0.08/0.21 thf(decl_327, type, demorgan2a2: $o).
% 0.08/0.21 thf(decl_328, type, demorgan1a: $o).
% 0.08/0.21 thf(decl_329, type, demorgan1b: $o).
% 0.08/0.21 thf(decl_330, type, demorgan1: $o).
% 0.08/0.21 thf(decl_331, type, demorgan2a: $o).
% 0.08/0.21 thf(decl_332, type, demorgan2b2: $o).
% 0.08/0.21 thf(decl_333, type, demorgan2b: $o).
% 0.08/0.21 thf(decl_334, type, demorgan2: $o).
% 0.08/0.21 thf(decl_335, type, woz13rule0: $o).
% 0.08/0.21 thf(decl_336, type, woz13rule1: $o).
% 0.08/0.21 thf(decl_337, type, woz13rule2: $o).
% 0.08/0.21 thf(decl_338, type, woz13rule3: $o).
% 0.08/0.21 thf(decl_339, type, woz13rule4: $o).
% 0.08/0.21 thf(decl_340, type, woz1_1: $o).
% 0.08/0.21 thf(decl_341, type, woz1_2: $o).
% 0.08/0.21 thf(decl_342, type, woz1_3: $o).
% 0.08/0.21 thf(decl_343, type, woz1_4: $o).
% 0.08/0.21 thf(decl_344, type, woz1_5: $o).
% 0.08/0.21 thf(decl_345, type, breln1: $i > $i > $o).
% 0.08/0.21 thf(decl_346, type, breln1all2: $o).
% 0.08/0.21 thf(decl_347, type, breln1Set: $i > $i).
% 0.08/0.21 thf(decl_348, type, breln1SetBreln1: $o).
% 0.08/0.21 thf(decl_354, type, reflwellordering: $i > $i > $o).
% 0.08/0.21 thf(decl_355, type, choice2fnsingleton: $o).
% 0.08/0.21 thf(decl_356, type, setOfPairsIsBReln1: $o).
% 0.08/0.21 thf(decl_357, type, breln1all1: $o).
% 0.08/0.21 thf(decl_358, type, subbreln1: $o).
% 0.08/0.21 thf(decl_359, type, eqbreln1: $o).
% 0.08/0.21 thf(decl_360, type, breln1invset: $i > $i > $i).
% 0.08/0.21 thf(decl_361, type, esk1_3: $i > $i > $i > $i).
% 0.08/0.21 thf(decl_362, type, esk2_3: $i > $i > $i > $i).
% 0.08/0.21 thf(decl_363, type, esk3_2: $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_364, type, esk4_2: $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_365, type, esk5_3: $i > $i > ($i > $i) > $i).
% 0.08/0.21 thf(decl_366, type, esk6_4: $i > $i > $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_367, type, esk7_4: $i > $i > $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_368, type, esk8_4: $i > $i > $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_369, type, esk9_4: $i > $i > $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_370, type, esk10_4: $i > $i > $i > $i > $i).
% 0.08/0.21 thf(decl_371, type, esk11_4: $i > $i > $i > $i > $i).
% 0.08/0.21 thf(decl_372, type, esk12_4: $i > $i > $i > $i > $i).
% 0.08/0.21 thf(decl_373, type, esk13_4: $i > $i > $i > $i > $i).
% 0.08/0.21 thf(decl_374, type, esk14_4: $i > $i > $i > $i > $i).
% 0.08/0.21 thf(decl_375, type, esk15_4: $i > $i > $i > $i > $i).
% 0.08/0.21 thf(decl_376, type, esk16_3: $i > $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_377, type, esk17_3: $i > $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_378, type, esk18_3: $i > $i > ($i > $i > $o) > $i).
% 0.08/0.21 thf(decl_379, type, esk19_3: $i > $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_380, type, esk20_3: $i > $i > ($i > $o) > $i).
% 0.08/0.21 thf(decl_381, type, esk21_3: $i > $i > $i > $i).
% 0.08/0.21 thf(decl_382, type, esk22_3: $i > $i > $i > $i).
% 0.08/0.21 thf(decl_383, type, esk23_3: $i > $i > $i > $i).
% 0.08/0.21 thf(decl_384, type, esk24_3: $i > $i > $i > $i).
% 0.08/0.21 thf(decl_385, type, esk25_3: $i > $i > $i > $i).
% 0.08/0.21 thf(decl_386, type, esk26_3: $i > $i > $i > $i).
% 0.08/0.21 thf(decl_387, type, esk27_0: $i).
% 0.08/0.21 thf(decl_388, type, esk28_0: $i).
% 0.08/0.21 thf(decl_395, type, epred7_1: $i > $i > $i > $o).
% 0.08/0.21 thf(breln1, axiom, ((breln1)=(^[X4:$i, X33:$i]:((breln @ X4 @ X4 @ X33)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', breln1)).
% 0.08/0.21 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', breln)).
% 0.08/0.21 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', setOfPairsIsBReln)).
% 0.08/0.21 thf(setOfPairsIsBReln1, axiom, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((X53 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', setOfPairsIsBReln1)).
% 0.08/0.21 thf(breln1invprop, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((woz1_3)=>((woz1_4)=>((woz1_5)=>((breln1all2)=>((breln1SetBreln1)=>((choice2fnsingleton)=>((setOfPairsIsBReln1)=>((breln1all1)=>((subbreln1)=>((eqbreln1)=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>(breln1 @ X4 @ (breln1invset @ X4 @ X33))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', breln1invprop)).
% 0.08/0.21 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', dpsetconstrER)).
% 0.08/0.21 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', dpsetconstrEL2)).
% 0.08/0.21 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', dpsetconstrEL1)).
% 0.08/0.21 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', dpsetconstrERa)).
% 0.08/0.21 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', dpsetconstrSub)).
% 0.08/0.21 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', dpsetconstrI)).
% 0.08/0.21 thf(choice2fnsingleton, axiom, ((choice2fnsingleton)<=>![X4:$i, X5:$i, X52:$i > $i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>?[X3:$i]:(((in @ X3 @ X5)&(X52 @ X2 @ X3)))))=>![X33:$i]:(((in @ X33 @ (breln1Set @ X5))=>((reflwellordering @ X5 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((((X52 @ X2 @ X3))&(![X14:$i]:((((in @ X14 @ X5))=>((((X52 @ X2 @ X14))=>((in @ (kpair @ X3 @ X14) @ X33)))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', choice2fnsingleton)).
% 0.08/0.21 thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', eqbreln)).
% 0.08/0.21 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', subbreln)).
% 0.08/0.21 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', brelnall2)).
% 0.08/0.21 thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', brelnall1)).
% 0.08/0.21 thf(eqbreln1, axiom, ((eqbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', eqbreln1)).
% 0.08/0.21 thf(subbreln1, axiom, ((subbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', subbreln1)).
% 0.08/0.21 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X43))&(((X14)=(X2)))))|(((~((X43)))&(((X14)=(X3))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', ifSingleton)).
% 0.08/0.21 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', funcImageSingleton)).
% 0.08/0.21 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', ksndsingleton)).
% 0.08/0.21 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', kfstsingleton)).
% 0.08/0.21 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', singletonprop)).
% 0.08/0.21 thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', lamProp)).
% 0.08/0.21 thf(breln1all1, axiom, ((breln1all1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', breln1all1)).
% 0.08/0.21 thf(breln1SetBreln1, axiom, ((breln1SetBreln1)<=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', breln1SetBreln1)).
% 0.08/0.21 thf(breln1all2, axiom, ((breln1all2)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', breln1all2)).
% 0.08/0.21 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', cartprodsndpairEq)).
% 0.08/0.21 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', ksndpairEq)).
% 0.08/0.21 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', cartprodfstpairEq)).
% 0.08/0.21 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', kfstpairEq)).
% 0.08/0.21 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', kpairsurjEq)).
% 0.08/0.21 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', kpairp)).
% 0.08/0.21 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', kpairiskpair)).
% 0.08/0.21 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', theeq)).
% 0.08/0.21 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', theprop)).
% 0.08/0.21 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', cartprodpairsurjEq)).
% 0.08/0.21 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', cartprodpairmemER)).
% 0.08/0.21 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', cartprodpairmemEL)).
% 0.08/0.21 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', cartprodsndin)).
% 0.08/0.21 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', cartprodfstin)).
% 0.08/0.21 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', cartprodmempair)).
% 0.08/0.21 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', cartprodmempair1)).
% 0.08/0.21 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', cartprodpairin)).
% 0.08/0.21 thf(breln1invset, axiom, ((breln1invset)=(^[X4:$i, X33:$i]:(dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((in @ (kpair @ X3 @ X2) @ X33)))))), file('/export/starexec/sandbox/tmp/tmp.IyIJQm4Rfm/E---3.1_178832.p', breln1invset)).
% 0.08/0.21 thf(c_0_45, plain, ((breln1)=(^[Z0:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(fof_simplification,[status(thm)],[breln1])).
% 0.08/0.21 thf(c_0_46, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
% 0.08/0.21 thf(c_0_47, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 0.08/0.21 thf(c_0_48, plain, ((breln1)=(^[Z0:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(apply_def,[status(thm)],[c_0_45, c_0_46])).
% 0.08/0.21 thf(c_0_49, plain, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[Z0:$i, Z1:$i]:((X53 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln1])).
% 0.08/0.21 thf(c_0_50, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((woz1_3)=>((woz1_4)=>((woz1_5)=>((breln1all2)=>((breln1SetBreln1)=>((choice2fnsingleton)=>((setOfPairsIsBReln1)=>((breln1all1)=>((subbreln1)=>((eqbreln1)=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>(breln1 @ X4 @ (breln1invset @ X4 @ X33)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[breln1invprop])).
% 0.08/0.21 thf(c_0_51, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 0.08/0.21 thf(c_0_52, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 0.08/0.21 thf(c_0_53, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 0.08/0.21 thf(c_0_54, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 0.08/0.21 thf(c_0_55, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 0.08/0.21 thf(c_0_56, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 0.08/0.21 thf(c_0_57, plain, ((choice2fnsingleton)<=>![X4:$i, X5:$i, X52:$i > $i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>?[X3:$i]:(((in @ X3 @ X5)&(X52 @ X2 @ X3)))))=>![X33:$i]:(((in @ X33 @ (breln1Set @ X5))=>((reflwellordering @ X5 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((((X52 @ X2 @ Z0))&(![X14:$i]:((((in @ X14 @ X5))=>((((X52 @ X2 @ X14))=>((in @ (kpair @ Z0 @ X14) @ X33)))))))))))))))))))), inference(fof_simplification,[status(thm)],[choice2fnsingleton])).
% 0.08/0.21 thf(c_0_58, axiom, ((eqbreln)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X35:$i]:(((((subset @ X35 @ (cartprod @ X4 @ X5))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((in @ (kpair @ X2 @ X3) @ X35))))))))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X35))=>((in @ (kpair @ X2 @ X3) @ X33))))))))))=>(((X33)=(X35)))))))))))))), inference(apply_def,[status(thm)],[eqbreln, c_0_46])).
% 0.08/0.21 thf(c_0_59, axiom, ((subbreln)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X35:$i]:(((((subset @ X35 @ (cartprod @ X4 @ X5))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((in @ (kpair @ X2 @ X3) @ X35))))))))))=>((subset @ X33 @ X35))))))))))), inference(apply_def,[status(thm)],[subbreln, c_0_46])).
% 0.08/0.21 thf(c_0_60, axiom, ((brelnall2)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_46])).
% 0.08/0.21 thf(c_0_61, axiom, ((brelnall1)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_46])).
% 0.08/0.21 thf(c_0_62, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_47, c_0_46])).
% 0.08/0.21 thf(c_0_63, axiom, ((eqbreln1)=(![X4:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X4))))=>(![X35:$i]:(((((subset @ X35 @ (cartprod @ X4 @ X4))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((in @ (kpair @ X2 @ X3) @ X35))))))))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((in @ (kpair @ X2 @ X3) @ X35))=>((in @ (kpair @ X2 @ X3) @ X33))))))))))=>(((X33)=(X35)))))))))))))), inference(apply_def,[status(thm)],[eqbreln1, c_0_48])).
% 0.08/0.21 thf(c_0_64, axiom, ((subbreln1)=(![X4:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X4))))=>(![X35:$i]:(((((subset @ X35 @ (cartprod @ X4 @ X4))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((in @ (kpair @ X2 @ X3) @ X35))))))))))=>((subset @ X33 @ X35))))))))))), inference(apply_def,[status(thm)],[subbreln1, c_0_48])).
% 0.08/0.21 thf(c_0_65, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X43))&(((Z0)=(X2)))))|(((~((X43)))&(((Z0)=(X3))))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
% 0.08/0.21 thf(c_0_66, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
% 0.08/0.21 thf(c_0_67, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 0.08/0.21 thf(c_0_68, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 0.08/0.21 thf(c_0_69, plain, ((singletonprop)<=>![X4:$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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 0.08/0.21 thf(c_0_70, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
% 0.08/0.21 thf(c_0_71, axiom, ((breln1all1)=(![X4:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X4))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[breln1all1, c_0_48])).
% 0.08/0.21 thf(c_0_72, plain, ((setOfPairsIsBReln1)=(![X4:$i, X53:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X4 @ (^[Z0:$i, Z1:$i]:((X53 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X4)))))), inference(apply_def,[status(thm)],[c_0_49, c_0_48])).
% 0.08/0.21 thf(c_0_73, axiom, ((breln1SetBreln1)=(![X4:$i, X33:$i]:((((in @ X33 @ (breln1Set @ X4)))=>(((subset @ X33 @ (cartprod @ X4 @ X4)))))))), inference(apply_def,[status(thm)],[breln1SetBreln1, c_0_48])).
% 0.08/0.21 thf(c_0_74, axiom, ((breln1all2)=(![X4:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X4))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[breln1all2, c_0_48])).
% 0.08/0.21 thf(c_0_75, 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)=>(![X218:$i, X219:$i]:((iskpair @ (setadjoin @ (setadjoin @ X218 @ emptyset) @ (setadjoin @ (setadjoin @ X218 @ (setadjoin @ X219 @ emptyset)) @ emptyset))))=>(![X220:$i, X221:$i]:((iskpair @ (kpair @ X220 @ X221)))=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>(![X222:$i, X223:$i, X224:$i]:(((in @ X224 @ X222)=>![X225:$i]:(((in @ X225 @ X223)=>(in @ (kpair @ X224 @ X225) @ (cartprod @ X222 @ X223))))))=>(![X226:$i, X227:$i, X228:$i]:(((in @ X228 @ (cartprod @ X226 @ X227))=>?[X229:$i]:(((in @ X229 @ X226)&?[X230:$i]:(((in @ X230 @ X227)&((X228)=(kpair @ X229 @ X230))))))))=>(![X231:$i, X232:$i, X233:$i]:(((in @ X233 @ (cartprod @ X231 @ X232))=>(iskpair @ X233)))=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>(![X234:$i, X235:$i > $o]:((![X236:$i]:(((in @ X236 @ X234)=>![X237:$i]:(((in @ X237 @ X234)=>((X235 @ X236)=>((X235 @ X237)=>((X236)=(X237))))))))=>(?[X238:$i]:(((in @ X238 @ X234)&(X235 @ X238)))=>(singleton @ (dsetconstr @ X234 @ X235)))))=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>(![X239:$i]:(((iskpair @ X239)=>(singleton @ (dsetconstr @ (setunion @ X239) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X239)))))))=>(![X240:$i]:(((singleton @ X240)=>(in @ (setunion @ X240) @ X240)))=>(![X241:$i, X242:$i]:(((kfst @ (kpair @ X241 @ X242))=(X241)))=>(![X243:$i, X244:$i, X245:$i]:(((in @ X245 @ (cartprod @ X243 @ X244))=>(in @ (kfst @ X245) @ X243)))=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>(![X246:$i]:(((iskpair @ X246)=>(singleton @ (dsetconstr @ (setunion @ X246) @ (^[Z0:$i]:(((X246)=(kpair @ (kfst @ X246) @ Z0))))))))=>(![X247:$i, X248:$i]:(((ksnd @ (kpair @ X247 @ X248))=(X248)))=>(![X249:$i]:(((iskpair @ X249)=>((kpair @ (kfst @ X249) @ (ksnd @ X249))=(X249))))=>(![X250:$i, X251:$i, X252:$i]:(((in @ X252 @ (cartprod @ X250 @ X251))=>(in @ (ksnd @ X252) @ X251)))=>(![X253:$i, X254:$i, X255:$i, X256:$i]:(((in @ (kpair @ X255 @ X256) @ (cartprod @ X253 @ X254))=>(in @ X255 @ X253)))=>(![X257:$i, X258:$i, X259:$i, X260:$i]:(((in @ (kpair @ X259 @ X260) @ (cartprod @ X257 @ X258))=>(in @ X260 @ X258)))=>((cartprodmempaircEq)=>(![X261:$i, X262:$i, X263:$i]:(((in @ X263 @ X261)=>![X264:$i]:(((in @ X264 @ X262)=>((kfst @ (kpair @ X263 @ X264))=(X263))))))=>(![X265:$i, X266:$i, X267:$i]:(((in @ X267 @ X265)=>![X268:$i]:(((in @ X268 @ X266)=>((ksnd @ (kpair @ X267 @ X268))=(X268))))))=>(![X269:$i, X270:$i, X271:$i]:(((in @ X271 @ (cartprod @ X269 @ X270))=>((kpair @ (kfst @ X271) @ (ksnd @ X271))=(X271))))=>(![X272:$i, X273:$i, X274:$i > $i > $o, X275:$i]:(((in @ X275 @ X272)=>![X276:$i]:(((in @ X276 @ X273)=>((X274 @ X275 @ X276)=>(in @ (kpair @ X275 @ X276) @ (dpsetconstr @ X272 @ X273 @ X274)))))))=>(![X277:$i, X278:$i, X279:$i > $i > $o]:((subset @ (dpsetconstr @ X277 @ X278 @ X279) @ (cartprod @ X277 @ X278)))=>(![X280:$i, X281:$i, X282:$i > $i > $o]:((subset @ (dpsetconstr @ X280 @ X281 @ X282) @ (cartprod @ X280 @ X281)))=>(![X283:$i, X284:$i, X285:$i > $i > $o, X286:$i]:(((in @ X286 @ X283)=>![X287:$i]:(((in @ X287 @ X284)=>((in @ (kpair @ X286 @ X287) @ (dpsetconstr @ X283 @ X284 @ X285))=>(X285 @ X286 @ X287))))))=>(![X288:$i, X289:$i, X290:$i > $i > $o, X291:$i, X292:$i]:(((in @ (kpair @ X291 @ X292) @ (dpsetconstr @ X288 @ X289 @ X290))=>(in @ X291 @ X288)))=>(![X293:$i, X294:$i, X295:$i > $i > $o, X296:$i, X297:$i]:(((in @ (kpair @ X296 @ X297) @ (dpsetconstr @ X293 @ X294 @ X295))=>(in @ X297 @ X294)))=>(![X298:$i, X299:$i, X300:$i > $i > $o, X301:$i, X302:$i]:(((in @ (kpair @ X301 @ X302) @ (dpsetconstr @ X298 @ X299 @ X300))=>(X300 @ X301 @ X302)))=>(![X303:$i, X304:$i, X305:$i]:(((func @ X303 @ X304 @ X305)=>![X306:$i]:(((in @ X306 @ X303)=>(singleton @ (dsetconstr @ X304 @ (^[Z0:$i]:((in @ (kpair @ X306 @ Z0) @ X305)))))))))=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>(![X307:$i, X308:$i, X309:$i > $i]:((![X310:$i]:(((in @ X310 @ X307)=>(in @ (X309 @ X310) @ X308)))=>(func @ X307 @ X308 @ (dpsetconstr @ X307 @ X308 @ (^[Z0:$i]:($eq @ (X309 @ Z0)))))))=>((lamp)=>((lam2p)=>(![X311:$i, X312:$i, X313:$i]:(((subset @ X313 @ (cartprod @ X311 @ X312))=>![X314:$i > $o]:((![X315:$i]:(((in @ X315 @ X311)=>![X316:$i]:(((in @ X316 @ X312)=>((in @ (kpair @ X315 @ X316) @ X313)=>(X314 @ (kpair @ X315 @ X316)))))))=>![X317:$i]:(((in @ X317 @ X313)=>(X314 @ X317)))))))=>(![X318:$i, X319:$i, X320:$i]:(((subset @ X320 @ (cartprod @ X318 @ X319))=>![X321:$i > $o]:((![X322:$i]:(((in @ X322 @ X318)=>![X323:$i]:(((in @ X323 @ X319)=>((in @ (kpair @ X322 @ X323) @ X320)=>(X321 @ (kpair @ X322 @ X323)))))))=>![X324:$i]:(((in @ X324 @ X320)=>(X321 @ X324)))))))=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>(![X325:$i, X326:$i, X327:$i]:(((subset @ X327 @ (cartprod @ X325 @ X326))=>![X328:$i]:(((subset @ X328 @ (cartprod @ X325 @ X326))=>(![X329:$i]:(((in @ X329 @ X325)=>![X330:$i]:(((in @ X330 @ X326)=>((in @ (kpair @ X329 @ X330) @ X327)=>(in @ (kpair @ X329 @ X330) @ X328))))))=>(subset @ X327 @ X328))))))=>(![X331:$i, X332:$i, X333:$i]:(((subset @ X333 @ (cartprod @ X331 @ X332))=>![X334:$i]:(((subset @ X334 @ (cartprod @ X331 @ X332))=>(![X335:$i]:(((in @ X335 @ X331)=>![X336:$i]:(((in @ X336 @ X332)=>((in @ (kpair @ X335 @ X336) @ X333)=>(in @ (kpair @ X335 @ X336) @ X334))))))=>(![X337:$i]:(((in @ X337 @ X331)=>![X338:$i]:(((in @ X338 @ X332)=>((in @ (kpair @ X337 @ X338) @ X334)=>(in @ (kpair @ X337 @ X338) @ X333))))))=>((X333)=(X334))))))))=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>(![X339:$i, X340:$o, X341:$i]:(((in @ X341 @ X339)=>![X342:$i]:(((in @ X342 @ X339)=>(singleton @ (dsetconstr @ X339 @ (^[Z0:$i]:((((((X340))&(((Z0)=(X341)))))|(((~((X340)))&(((Z0)=(X342))))))))))))))=>((ifp)=>(![X343:$i]:(((singleton @ X343)=>![X344:$i]:(((in @ X344 @ X343)=>((setunion @ X343)=(X344))))))=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((woz1_3)=>((woz1_4)=>((woz1_5)=>(![X345:$i, X346:$i]:(((subset @ X346 @ (cartprod @ X345 @ X345))=>![X347:$i > $o]:((![X348:$i]:(((in @ X348 @ X345)=>![X349:$i]:(((in @ X349 @ X345)=>((in @ (kpair @ X348 @ X349) @ X346)=>(X347 @ (kpair @ X348 @ X349)))))))=>![X350:$i]:(((in @ X350 @ X346)=>(X347 @ X350)))))))=>(![X351:$i, X352:$i]:(((in @ X352 @ (breln1Set @ X351))=>(subset @ X352 @ (cartprod @ X351 @ X351))))=>(![X353:$i, X354:$i, X355:$i > $i > $o]:((![X356:$i]:(((in @ X356 @ X353)=>?[X357:$i]:(((in @ X357 @ X354)&(X355 @ X356 @ X357)))))=>![X358:$i]:(((in @ X358 @ (breln1Set @ X354))=>((reflwellordering @ X354 @ X358)=>![X359:$i]:(((in @ X359 @ X353)=>(singleton @ (dsetconstr @ X354 @ (^[Z0:$i]:(((X355 @ X359 @ Z0)&(![X360:$i]:((((in @ X360 @ X354))=>(((X355 @ X359 @ X360)=>((in @ (kpair @ Z0 @ X360) @ X358)))))))))))))))))))=>(![X361:$i, X362:$i > $i > $o]:((subset @ (dpsetconstr @ X361 @ X361 @ X362) @ (cartprod @ X361 @ X361)))=>(![X363:$i, X364:$i]:(((subset @ X364 @ (cartprod @ X363 @ X363))=>![X365:$i > $o]:((![X366:$i]:(((in @ X366 @ X363)=>![X367:$i]:(((in @ X367 @ X363)=>((in @ (kpair @ X366 @ X367) @ X364)=>(X365 @ (kpair @ X366 @ X367)))))))=>![X368:$i]:(((in @ X368 @ X364)=>(X365 @ X368)))))))=>(![X369:$i, X370:$i]:(((subset @ X370 @ (cartprod @ X369 @ X369))=>![X371:$i]:(((subset @ X371 @ (cartprod @ X369 @ X369))=>(![X372:$i]:(((in @ X372 @ X369)=>![X373:$i]:(((in @ X373 @ X369)=>((in @ (kpair @ X372 @ X373) @ X370)=>(in @ (kpair @ X372 @ X373) @ X371))))))=>(subset @ X370 @ X371))))))=>(![X374:$i, X375:$i]:(((subset @ X375 @ (cartprod @ X374 @ X374))=>![X376:$i]:(((subset @ X376 @ (cartprod @ X374 @ X374))=>(![X377:$i]:(((in @ X377 @ X374)=>![X378:$i]:(((in @ X378 @ X374)=>((in @ (kpair @ X377 @ X378) @ X375)=>(in @ (kpair @ X377 @ X378) @ X376))))))=>(![X379:$i]:(((in @ X379 @ X374)=>![X380:$i]:(((in @ X380 @ X374)=>((in @ (kpair @ X379 @ X380) @ X376)=>(in @ (kpair @ X379 @ X380) @ X375))))))=>((X375)=(X376))))))))=>![X4:$i, X33:$i]:(((subset @ X33 @ (cartprod @ X4 @ X4))=>(subset @ (breln1invset @ X4 @ X33) @ (cartprod @ X4 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_50, c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), cartprodsndpairEq]), ksndpairEq]), cartprodfstpairEq]), kfstpairEq]), kpairsurjEq]), kpairp]), kpairiskpair]), theeq]), c_0_65]), c_0_66]), c_0_67]), theprop]), c_0_68]), c_0_69]), cartprodpairsurjEq]), cartprodpairmemER]), cartprodpairmemEL]), cartprodsndin]), cartprodfstin]), cartprodmempair]), cartprodmempair1]), cartprodpairin]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_48])])).
% 0.08/0.21 thf(c_0_76, plain, ![X381:$i, X382:$i]:(((breln1invset @ X381 @ X382)=(dpsetconstr @ X381 @ X381 @ (^[Z0:$i, Z1:$i]:((in @ (kpair @ Z1 @ Z0) @ X382)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[breln1invset])])).
% 0.08/0.21 thf(c_0_77, negated_conjecture, ![X383:$i, X384:$i, X385:$i, X386:$i, X387:$i, X388:$i, X389:$i, X390:$i, X391:$i, X392:$i, X393:$i, X396:$i, X397:$i, X398:$i, X399:$i, X400:$i > $o, X403:$i, X404:$i, X405:$i, X406:$i, X407:$i, X408:$i, X409:$i, X410:$i, X411:$i, X412:$i, X413:$i, X414:$i, X415:$i, X416:$i, X417:$i, X418:$i, X419:$i, X420:$i, X421:$i, X422:$i, X423:$i, X424:$i, X425:$i, X426:$i, X427:$i, X428:$i, X429:$i, X430:$i, X431:$i, X432:$i, X433:$i, X434:$i, X435:$i, X436:$i, X437:$i, X438:$i, X439:$i > $i > $o, X440:$i, X441:$i, X442:$i, X443:$i, X444:$i > $i > $o, X445:$i, X446:$i, X447:$i > $i > $o, X448:$i, X449:$i, X450:$i > $i > $o, X451:$i, X452:$i, X453:$i, X454:$i, X455:$i > $i > $o, X456:$i, X457:$i, X458:$i, X459:$i, X460:$i > $i > $o, X461:$i, X462:$i, X463:$i, X464:$i, X465:$i > $i > $o, X466:$i, X467:$i, X468:$i, X469:$i, X470:$i, X471:$i, X472:$i, X473:$i, X474:$i > $i, X476:$i, X477:$i, X478:$i, X479:$i > $o, X482:$i, X483:$i, X484:$i, X485:$i, X486:$i > $o, X489:$i, X490:$i, X491:$i, X492:$i, X493:$i, X496:$i, X497:$i, X498:$i, X499:$i, X504:$i, X505:$o, X506:$i, X507:$i, X508:$i, X509:$i, X510:$i, X511:$i, X512:$i > $o, X515:$i, X516:$i, X517:$i, X518:$i, X519:$i, X520:$i > $i > $o, X522:$i, X523:$i, X524:$i, X525:$i, X526:$i > $i > $o, X527:$i, X528:$i, X529:$i > $o, X532:$i, X533:$i, X534:$i, X535:$i, X538:$i, X539:$i, X540:$i]:(((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)&((iskpair @ (setadjoin @ (setadjoin @ X383 @ emptyset) @ (setadjoin @ (setadjoin @ X383 @ (setadjoin @ X384 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X385 @ X386))&((singletonsubset)&((singletoninpowerset)&((singletoninpowunion)&((upairset2E)&((upairsubunion)&((upairinpowunion)&((ubforcartprodlem1)&((ubforcartprodlem2)&((ubforcartprodlem3)&((~(in @ X389 @ X387)|(~(in @ X390 @ X388)|(in @ (kpair @ X389 @ X390) @ (cartprod @ X387 @ X388))))&((((in @ (esk1_3 @ X391 @ X392 @ X393) @ X391)|~(in @ X393 @ (cartprod @ X391 @ X392)))&(((in @ (esk2_3 @ X391 @ X392 @ X393) @ X392)|~(in @ X393 @ (cartprod @ X391 @ X392)))&(((X393)=(kpair @ (esk1_3 @ X391 @ X392 @ X393) @ (esk2_3 @ X391 @ X392 @ X393)))|~(in @ X393 @ (cartprod @ X391 @ X392)))))&((~(in @ X398 @ (cartprod @ X396 @ X397))|(iskpair @ X398))&((setunionE2)&((setunionsingleton1)&((setunionsingleton2)&((setunionsingleton)&((((in @ (esk3_2 @ X399 @ X400) @ X399)|(~(in @ X403 @ X399)|~(X400 @ X403)|(singleton @ (dsetconstr @ X399 @ X400))))&(((in @ (esk4_2 @ X399 @ X400) @ X399)|(~(in @ X403 @ X399)|~(X400 @ X403)|(singleton @ (dsetconstr @ X399 @ X400))))&(((X400 @ (esk3_2 @ X399 @ X400))|(~(in @ X403 @ X399)|~(X400 @ X403)|(singleton @ (dsetconstr @ X399 @ X400))))&(((X400 @ (esk4_2 @ X399 @ X400))|(~(in @ X403 @ X399)|~(X400 @ X403)|(singleton @ (dsetconstr @ X399 @ X400))))&(((esk3_2 @ X399 @ X400)!=(esk4_2 @ X399 @ X400))|(~(in @ X403 @ X399)|~(X400 @ X403)|(singleton @ (dsetconstr @ X399 @ X400))))))))&((ex1E1)&((ex1I)&((ex1I2)&((singletonsuniq)&((setukpairinjL1)&((~(iskpair @ X404)|(singleton @ (dsetconstr @ (setunion @ X404) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X404))))))&((~(singleton @ X405)|(in @ (setunion @ X405) @ X405))&(((kfst @ (kpair @ X406 @ X407))=(X406))&((~(in @ X410 @ (cartprod @ X408 @ X409))|(in @ (kfst @ X410) @ X408))&((setukpairinjL2)&((setukpairinjL)&((setukpairinjR11)&((setukpairinjR12)&((setukpairinjR1)&((upairequniteq)&((setukpairinjR2)&((setukpairinjR)&((~(iskpair @ X411)|(singleton @ (dsetconstr @ (setunion @ X411) @ (^[Z0:$i]:(((X411)=(kpair @ (kfst @ X411) @ Z0)))))))&(((ksnd @ (kpair @ X412 @ X413))=(X413))&((~(iskpair @ X414)|((kpair @ (kfst @ X414) @ (ksnd @ X414))=(X414)))&((~(in @ X417 @ (cartprod @ X415 @ X416))|(in @ (ksnd @ X417) @ X416))&((~(in @ (kpair @ X420 @ X421) @ (cartprod @ X418 @ X419))|(in @ X420 @ X418))&((~(in @ (kpair @ X424 @ X425) @ (cartprod @ X422 @ X423))|(in @ X425 @ X423))&((cartprodmempaircEq)&((~(in @ X428 @ X426)|(~(in @ X429 @ X427)|((kfst @ (kpair @ X428 @ X429))=(X428))))&((~(in @ X432 @ X430)|(~(in @ X433 @ X431)|((ksnd @ (kpair @ X432 @ X433))=(X433))))&((~(in @ X436 @ (cartprod @ X434 @ X435))|((kpair @ (kfst @ X436) @ (ksnd @ X436))=(X436)))&((~(in @ X440 @ X437)|(~(in @ X441 @ X438)|(~(X439 @ X440 @ X441)|(in @ (kpair @ X440 @ X441) @ (dpsetconstr @ X437 @ X438 @ X439)))))&((subset @ (dpsetconstr @ X442 @ X443 @ X444) @ (cartprod @ X442 @ X443))&((subset @ (dpsetconstr @ X445 @ X446 @ X447) @ (cartprod @ X445 @ X446))&((~(in @ X451 @ X448)|(~(in @ X452 @ X449)|(~(in @ (kpair @ X451 @ X452) @ (dpsetconstr @ X448 @ X449 @ X450))|(X450 @ X451 @ X452))))&((~(in @ (kpair @ X456 @ X457) @ (dpsetconstr @ X453 @ X454 @ X455))|(in @ X456 @ X453))&((~(in @ (kpair @ X461 @ X462) @ (dpsetconstr @ X458 @ X459 @ X460))|(in @ X462 @ X459))&((~(in @ (kpair @ X466 @ X467) @ (dpsetconstr @ X463 @ X464 @ X465))|(X465 @ X466 @ X467))&((~(func @ X468 @ X469 @ X470)|(~(in @ X471 @ X468)|(singleton @ (dsetconstr @ X469 @ (^[Z0:$i]:((in @ (kpair @ X471 @ Z0) @ X470)))))))&((apProp)&((app)&((infuncsetfunc)&((ap2p)&((funcinfuncset)&((((in @ (esk5_3 @ X472 @ X473 @ X474) @ X472)|(func @ X472 @ X473 @ (dpsetconstr @ X472 @ X473 @ (^[Z0:$i]:($eq @ (X474 @ Z0))))))&(~(in @ (X474 @ (esk5_3 @ X472 @ X473 @ X474)) @ X473)|(func @ X472 @ X473 @ (dpsetconstr @ X472 @ X473 @ (^[Z0:$i]:($eq @ (X474 @ Z0)))))))&((lamp)&((lam2p)&((((in @ (esk6_4 @ X476 @ X477 @ X478 @ X479) @ X476)|(~(in @ X482 @ X478)|(X479 @ X482))|~(subset @ X478 @ (cartprod @ X476 @ X477)))&(((in @ (esk7_4 @ X476 @ X477 @ X478 @ X479) @ X477)|(~(in @ X482 @ X478)|(X479 @ X482))|~(subset @ X478 @ (cartprod @ X476 @ X477)))&(((in @ (kpair @ (esk6_4 @ X476 @ X477 @ X478 @ X479) @ (esk7_4 @ X476 @ X477 @ X478 @ X479)) @ X478)|(~(in @ X482 @ X478)|(X479 @ X482))|~(subset @ X478 @ (cartprod @ X476 @ X477)))&(~(X479 @ (kpair @ (esk6_4 @ X476 @ X477 @ X478 @ X479) @ (esk7_4 @ X476 @ X477 @ X478 @ X479)))|(~(in @ X482 @ X478)|(X479 @ X482))|~(subset @ X478 @ (cartprod @ X476 @ X477))))))&((((in @ (esk8_4 @ X483 @ X484 @ X485 @ X486) @ X483)|(~(in @ X489 @ X485)|(X486 @ X489))|~(subset @ X485 @ (cartprod @ X483 @ X484)))&(((in @ (esk9_4 @ X483 @ X484 @ X485 @ X486) @ X484)|(~(in @ X489 @ X485)|(X486 @ X489))|~(subset @ X485 @ (cartprod @ X483 @ X484)))&(((in @ (kpair @ (esk8_4 @ X483 @ X484 @ X485 @ X486) @ (esk9_4 @ X483 @ X484 @ X485 @ X486)) @ X485)|(~(in @ X489 @ X485)|(X486 @ X489))|~(subset @ X485 @ (cartprod @ X483 @ X484)))&(~(X486 @ (kpair @ (esk8_4 @ X483 @ X484 @ X485 @ X486) @ (esk9_4 @ X483 @ X484 @ X485 @ X486)))|(~(in @ X489 @ X485)|(X486 @ X489))|~(subset @ X485 @ (cartprod @ X483 @ X484))))))&((ex1E2)&((funcGraphProp1)&((funcGraphProp3)&((funcGraphProp2)&((funcextLem)&((funcGraphProp4)&((((in @ (esk10_4 @ X490 @ X491 @ X492 @ X493) @ X490)|(subset @ X492 @ X493)|~(subset @ X493 @ (cartprod @ X490 @ X491))|~(subset @ X492 @ (cartprod @ X490 @ X491)))&(((in @ (esk11_4 @ X490 @ X491 @ X492 @ X493) @ X491)|(subset @ X492 @ X493)|~(subset @ X493 @ (cartprod @ X490 @ X491))|~(subset @ X492 @ (cartprod @ X490 @ X491)))&(((in @ (kpair @ (esk10_4 @ X490 @ X491 @ X492 @ X493) @ (esk11_4 @ X490 @ X491 @ X492 @ X493)) @ X492)|(subset @ X492 @ X493)|~(subset @ X493 @ (cartprod @ X490 @ X491))|~(subset @ X492 @ (cartprod @ X490 @ X491)))&(~(in @ (kpair @ (esk10_4 @ X490 @ X491 @ X492 @ X493) @ (esk11_4 @ X490 @ X491 @ X492 @ X493)) @ X493)|(subset @ X492 @ X493)|~(subset @ X493 @ (cartprod @ X490 @ X491))|~(subset @ X492 @ (cartprod @ X490 @ X491))))))&(((((in @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ X496)|((X498)=(X499))|(in @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ X496)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(((in @ (esk15_4 @ X496 @ X497 @ X498 @ X499) @ X497)|((X498)=(X499))|(in @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ X496)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(((in @ (kpair @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ (esk15_4 @ X496 @ X497 @ X498 @ X499)) @ X499)|((X498)=(X499))|(in @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ X496)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(~(in @ (kpair @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ (esk15_4 @ X496 @ X497 @ X498 @ X499)) @ X498)|((X498)=(X499))|(in @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ X496)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497))))))&((((in @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ X496)|((X498)=(X499))|(in @ (esk13_4 @ X496 @ X497 @ X498 @ X499) @ X497)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(((in @ (esk15_4 @ X496 @ X497 @ X498 @ X499) @ X497)|((X498)=(X499))|(in @ (esk13_4 @ X496 @ X497 @ X498 @ X499) @ X497)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(((in @ (kpair @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ (esk15_4 @ X496 @ X497 @ X498 @ X499)) @ X499)|((X498)=(X499))|(in @ (esk13_4 @ X496 @ X497 @ X498 @ X499) @ X497)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(~(in @ (kpair @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ (esk15_4 @ X496 @ X497 @ X498 @ X499)) @ X498)|((X498)=(X499))|(in @ (esk13_4 @ X496 @ X497 @ X498 @ X499) @ X497)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497))))))&((((in @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ X496)|((X498)=(X499))|(in @ (kpair @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ (esk13_4 @ X496 @ X497 @ X498 @ X499)) @ X498)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(((in @ (esk15_4 @ X496 @ X497 @ X498 @ X499) @ X497)|((X498)=(X499))|(in @ (kpair @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ (esk13_4 @ X496 @ X497 @ X498 @ X499)) @ X498)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(((in @ (kpair @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ (esk15_4 @ X496 @ X497 @ X498 @ X499)) @ X499)|((X498)=(X499))|(in @ (kpair @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ (esk13_4 @ X496 @ X497 @ X498 @ X499)) @ X498)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(~(in @ (kpair @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ (esk15_4 @ X496 @ X497 @ X498 @ X499)) @ X498)|((X498)=(X499))|(in @ (kpair @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ (esk13_4 @ X496 @ X497 @ X498 @ X499)) @ X498)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497))))))&(((in @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ X496)|((X498)=(X499))|~(in @ (kpair @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ (esk13_4 @ X496 @ X497 @ X498 @ X499)) @ X499)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(((in @ (esk15_4 @ X496 @ X497 @ X498 @ X499) @ X497)|((X498)=(X499))|~(in @ (kpair @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ (esk13_4 @ X496 @ X497 @ X498 @ X499)) @ X499)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(((in @ (kpair @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ (esk15_4 @ X496 @ X497 @ X498 @ X499)) @ X499)|((X498)=(X499))|~(in @ (kpair @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ (esk13_4 @ X496 @ X497 @ X498 @ X499)) @ X499)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))&(~(in @ (kpair @ (esk14_4 @ X496 @ X497 @ X498 @ X499) @ (esk15_4 @ X496 @ X497 @ X498 @ X499)) @ X498)|((X498)=(X499))|~(in @ (kpair @ (esk12_4 @ X496 @ X497 @ X498 @ X499) @ (esk13_4 @ X496 @ X497 @ X498 @ X499)) @ X499)|~(subset @ X499 @ (cartprod @ X496 @ X497))|~(subset @ X498 @ (cartprod @ X496 @ X497)))))))))&((funcext)&((funcext2)&((ap2apEq1)&((ap2apEq2)&((beta1)&((eta1)&((lam2lamEq)&((beta2)&((eta2)&((iffalseProp1)&((iffalseProp2)&((iftrueProp1)&((iftrueProp2)&((~(in @ X506 @ X504)|(~(in @ X507 @ X504)|(singleton @ (dsetconstr @ X504 @ (^[Z0:$i]:((((((X505))&(((Z0)=(X506)))))|(((~((X505)))&(((Z0)=(X507))))))))))))&((ifp)&((~(singleton @ X508)|(~(in @ X509 @ X508)|((setunion @ X508)=(X509))))&((iftrue)&((iffalse)&((iftrueorfalse)&((binintersectT_lem)&((binunionT_lem)&((powersetT_lem)&((setminusT_lem)&((complementT_lem)&((setextT)&((subsetTI)&((powersetTI1)&((powersetTE1)&((complementTI1)&((complementTE1)&((binintersectTELcontra)&((binintersectTERcontra)&((contrasubsetT)&((contrasubsetT1)&((contrasubsetT2)&((contrasubsetT3)&((doubleComplementI1)&((doubleComplementE1)&((doubleComplementSub1)&((doubleComplementSub2)&((doubleComplementEq)&((complementTnotintersectT)&((complementImpComplementIntersect)&((complementSubsetComplementIntersect)&((complementInPowersetComplementIntersect)&((contraSubsetComplement)&((complementTcontraSubset)&((binunionTILcontra)&((binunionTIRcontra)&((inIntersectImpInUnion)&((inIntersectImpInUnion2)&((inIntersectImpInIntersectUnions)&((intersectInPowersetIntersectUnions)&((inComplementUnionImpNotIn1)&((inComplementUnionImpInComplement1)&((binunionTE)&((binunionTEcontra)&((demorgan2a1)&((complementUnionInPowersetComplement)&((demorgan2a2)&((demorgan1a)&((demorgan1b)&((demorgan1)&((demorgan2a)&((demorgan2b2)&((demorgan2b)&((demorgan2)&((woz13rule0)&((woz13rule1)&((woz13rule2)&((woz13rule3)&((woz13rule4)&((woz1_1)&((woz1_2)&((woz1_3)&((woz1_4)&((woz1_5)&((((in @ (esk16_3 @ X510 @ X511 @ X512) @ X510)|(~(in @ X515 @ X511)|(X512 @ X515))|~(subset @ X511 @ (cartprod @ X510 @ X510)))&(((in @ (esk17_3 @ X510 @ X511 @ X512) @ X510)|(~(in @ X515 @ X511)|(X512 @ X515))|~(subset @ X511 @ (cartprod @ X510 @ X510)))&(((in @ (kpair @ (esk16_3 @ X510 @ X511 @ X512) @ (esk17_3 @ X510 @ X511 @ X512)) @ X511)|(~(in @ X515 @ X511)|(X512 @ X515))|~(subset @ X511 @ (cartprod @ X510 @ X510)))&(~(X512 @ (kpair @ (esk16_3 @ X510 @ X511 @ X512) @ (esk17_3 @ X510 @ X511 @ X512)))|(~(in @ X515 @ X511)|(X512 @ X515))|~(subset @ X511 @ (cartprod @ X510 @ X510))))))&((~(in @ X517 @ (breln1Set @ X516))|(subset @ X517 @ (cartprod @ X516 @ X516)))&((((in @ (esk18_3 @ X518 @ X519 @ X520) @ X518)|(~(in @ X523 @ (breln1Set @ X519))|(~(reflwellordering @ X519 @ X523)|(~(in @ X524 @ X518)|(singleton @ (dsetconstr @ X519 @ (^[Z0:$i]:(((X520 @ X524 @ Z0)&(![X360:$i]:((((in @ X360 @ X519))=>(((X520 @ X524 @ X360)=>((in @ (kpair @ Z0 @ X360) @ X523))))))))))))))))&(~(in @ X522 @ X519)|~(X520 @ (esk18_3 @ X518 @ X519 @ X520) @ X522)|(~(in @ X523 @ (breln1Set @ X519))|(~(reflwellordering @ X519 @ X523)|(~(in @ X524 @ X518)|(singleton @ (dsetconstr @ X519 @ (^[Z0:$i]:(((X520 @ X524 @ Z0)&(![X360:$i]:((((in @ X360 @ X519))=>(((X520 @ X524 @ X360)=>((in @ (kpair @ Z0 @ X360) @ X523)))))))))))))))))&((subset @ (dpsetconstr @ X525 @ X525 @ X526) @ (cartprod @ X525 @ X525))&((((in @ (esk19_3 @ X527 @ X528 @ X529) @ X527)|(~(in @ X532 @ X528)|(X529 @ X532))|~(subset @ X528 @ (cartprod @ X527 @ X527)))&(((in @ (esk20_3 @ X527 @ X528 @ X529) @ X527)|(~(in @ X532 @ X528)|(X529 @ X532))|~(subset @ X528 @ (cartprod @ X527 @ X527)))&(((in @ (kpair @ (esk19_3 @ X527 @ X528 @ X529) @ (esk20_3 @ X527 @ X528 @ X529)) @ X528)|(~(in @ X532 @ X528)|(X529 @ X532))|~(subset @ X528 @ (cartprod @ X527 @ X527)))&(~(X529 @ (kpair @ (esk19_3 @ X527 @ X528 @ X529) @ (esk20_3 @ X527 @ X528 @ X529)))|(~(in @ X532 @ X528)|(X529 @ X532))|~(subset @ X528 @ (cartprod @ X527 @ X527))))))&((((in @ (esk21_3 @ X533 @ X534 @ X535) @ X533)|(subset @ X534 @ X535)|~(subset @ X535 @ (cartprod @ X533 @ X533))|~(subset @ X534 @ (cartprod @ X533 @ X533)))&(((in @ (esk22_3 @ X533 @ X534 @ X535) @ X533)|(subset @ X534 @ X535)|~(subset @ X535 @ (cartprod @ X533 @ X533))|~(subset @ X534 @ (cartprod @ X533 @ X533)))&(((in @ (kpair @ (esk21_3 @ X533 @ X534 @ X535) @ (esk22_3 @ X533 @ X534 @ X535)) @ X534)|(subset @ X534 @ X535)|~(subset @ X535 @ (cartprod @ X533 @ X533))|~(subset @ X534 @ (cartprod @ X533 @ X533)))&(~(in @ (kpair @ (esk21_3 @ X533 @ X534 @ X535) @ (esk22_3 @ X533 @ X534 @ X535)) @ X535)|(subset @ X534 @ X535)|~(subset @ X535 @ (cartprod @ X533 @ X533))|~(subset @ X534 @ (cartprod @ X533 @ X533))))))&(((((in @ (esk25_3 @ X538 @ X539 @ X540) @ X538)|((X539)=(X540))|(in @ (esk23_3 @ X538 @ X539 @ X540) @ X538)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(((in @ (esk26_3 @ X538 @ X539 @ X540) @ X538)|((X539)=(X540))|(in @ (esk23_3 @ X538 @ X539 @ X540) @ X538)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(((in @ (kpair @ (esk25_3 @ X538 @ X539 @ X540) @ (esk26_3 @ X538 @ X539 @ X540)) @ X540)|((X539)=(X540))|(in @ (esk23_3 @ X538 @ X539 @ X540) @ X538)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(~(in @ (kpair @ (esk25_3 @ X538 @ X539 @ X540) @ (esk26_3 @ X538 @ X539 @ X540)) @ X539)|((X539)=(X540))|(in @ (esk23_3 @ X538 @ X539 @ X540) @ X538)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538))))))&((((in @ (esk25_3 @ X538 @ X539 @ X540) @ X538)|((X539)=(X540))|(in @ (esk24_3 @ X538 @ X539 @ X540) @ X538)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(((in @ (esk26_3 @ X538 @ X539 @ X540) @ X538)|((X539)=(X540))|(in @ (esk24_3 @ X538 @ X539 @ X540) @ X538)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(((in @ (kpair @ (esk25_3 @ X538 @ X539 @ X540) @ (esk26_3 @ X538 @ X539 @ X540)) @ X540)|((X539)=(X540))|(in @ (esk24_3 @ X538 @ X539 @ X540) @ X538)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(~(in @ (kpair @ (esk25_3 @ X538 @ X539 @ X540) @ (esk26_3 @ X538 @ X539 @ X540)) @ X539)|((X539)=(X540))|(in @ (esk24_3 @ X538 @ X539 @ X540) @ X538)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538))))))&((((in @ (esk25_3 @ X538 @ X539 @ X540) @ X538)|((X539)=(X540))|(in @ (kpair @ (esk23_3 @ X538 @ X539 @ X540) @ (esk24_3 @ X538 @ X539 @ X540)) @ X539)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(((in @ (esk26_3 @ X538 @ X539 @ X540) @ X538)|((X539)=(X540))|(in @ (kpair @ (esk23_3 @ X538 @ X539 @ X540) @ (esk24_3 @ X538 @ X539 @ X540)) @ X539)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(((in @ (kpair @ (esk25_3 @ X538 @ X539 @ X540) @ (esk26_3 @ X538 @ X539 @ X540)) @ X540)|((X539)=(X540))|(in @ (kpair @ (esk23_3 @ X538 @ X539 @ X540) @ (esk24_3 @ X538 @ X539 @ X540)) @ X539)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(~(in @ (kpair @ (esk25_3 @ X538 @ X539 @ X540) @ (esk26_3 @ X538 @ X539 @ X540)) @ X539)|((X539)=(X540))|(in @ (kpair @ (esk23_3 @ X538 @ X539 @ X540) @ (esk24_3 @ X538 @ X539 @ X540)) @ X539)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538))))))&(((in @ (esk25_3 @ X538 @ X539 @ X540) @ X538)|((X539)=(X540))|~(in @ (kpair @ (esk23_3 @ X538 @ X539 @ X540) @ (esk24_3 @ X538 @ X539 @ X540)) @ X540)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(((in @ (esk26_3 @ X538 @ X539 @ X540) @ X538)|((X539)=(X540))|~(in @ (kpair @ (esk23_3 @ X538 @ X539 @ X540) @ (esk24_3 @ X538 @ X539 @ X540)) @ X540)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(((in @ (kpair @ (esk25_3 @ X538 @ X539 @ X540) @ (esk26_3 @ X538 @ X539 @ X540)) @ X540)|((X539)=(X540))|~(in @ (kpair @ (esk23_3 @ X538 @ X539 @ X540) @ (esk24_3 @ X538 @ X539 @ X540)) @ X540)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))&(~(in @ (kpair @ (esk25_3 @ X538 @ X539 @ X540) @ (esk26_3 @ X538 @ X539 @ X540)) @ X539)|((X539)=(X540))|~(in @ (kpair @ (esk23_3 @ X538 @ X539 @ X540) @ (esk24_3 @ X538 @ X539 @ X540)) @ X540)|~(subset @ X540 @ (cartprod @ X538 @ X538))|~(subset @ X539 @ (cartprod @ X538 @ X538)))))))))&((subset @ esk28_0 @ (cartprod @ esk27_0 @ esk27_0))&~(subset @ (breln1invset @ esk27_0 @ esk28_0) @ (cartprod @ esk27_0 @ esk27_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])])])])).
% 0.08/0.21 thf(c_0_78, plain, ![X547:$i, X548:$i]:(((breln1invset @ X547 @ X548)=(dpsetconstr @ X547 @ X547 @ (^[Z0:$i, Z1:$i]:((in @ (kpair @ Z1 @ Z0) @ X548)))))), inference(variable_rename,[status(thm)],[c_0_76])).
% 0.08/0.21 thf(c_0_79, plain, ![X560:$i, X559:$i, X3:$i]:(((epred7_1 @ X3 @ X559 @ X560)<=>(in @ (kpair @ X560 @ X559) @ X3))), introduced(definition)).
% 0.08/0.21 thf(c_0_80, negated_conjecture, ![X2:$i, X6:$i > $i > $o, X3:$i]:((subset @ (dpsetconstr @ X2 @ X3 @ X6) @ (cartprod @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_77])).
% 0.08/0.21 thf(c_0_81, plain, ![X2:$i, X3:$i]:(((breln1invset @ X2 @ X3)=(dpsetconstr @ X2 @ X2 @ (epred7_1 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_78]), c_0_79])).
% 0.08/0.21 thf(c_0_82, negated_conjecture, ~((subset @ (breln1invset @ esk27_0 @ esk28_0) @ (cartprod @ esk27_0 @ esk27_0))), inference(split_conjunct,[status(thm)],[c_0_77])).
% 0.08/0.21 thf(c_0_83, negated_conjecture, ![X3:$i, X2:$i]:((subset @ (breln1invset @ X2 @ X3) @ (cartprod @ X2 @ X2))), inference(spm,[status(thm)],[c_0_80, c_0_81])).
% 0.08/0.21 thf(c_0_84, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_83])]), ['proof']).
% 0.08/0.21 % SZS output end CNFRefutation
% 0.08/0.21 % Parsed axioms : 635
% 0.08/0.21 % Removed by relevancy pruning/SinE : 590
% 0.08/0.21 % Initial clauses : 370
% 0.08/0.21 % Removed in clause preprocessing : 1
% 0.08/0.21 % Initial clauses in saturation : 369
% 0.08/0.21 % Processed clauses : 276
% 0.08/0.21 % ...of these trivial : 2
% 0.08/0.21 % ...subsumed : 0
% 0.08/0.21 % ...remaining for further processing : 274
% 0.08/0.21 % Other redundant clauses eliminated : 2
% 0.08/0.21 % Clauses deleted for lack of memory : 0
% 0.08/0.21 % Backward-subsumed : 0
% 0.08/0.21 % Backward-rewritten : 1
% 0.08/0.21 % Generated clauses : 11
% 0.08/0.21 % ...of the previous two non-redundant : 6
% 0.08/0.21 % ...aggressively subsumed : 0
% 0.08/0.21 % Contextual simplify-reflections : 0
% 0.08/0.21 % Paramodulations : 8
% 0.08/0.21 % Factorizations : 0
% 0.08/0.21 % NegExts : 0
% 0.08/0.21 % Equation resolutions : 2
% 0.08/0.21 % Disequality decompositions : 0
% 0.08/0.21 % Total rewrite steps : 7
% 0.08/0.21 % ...of those cached : 1
% 0.08/0.21 % Propositional unsat checks : 0
% 0.08/0.21 % Propositional check models : 0
% 0.08/0.21 % Propositional check unsatisfiable : 0
% 0.08/0.21 % Propositional clauses : 0
% 0.08/0.21 % Propositional clauses after purity: 0
% 0.08/0.21 % Propositional unsat core size : 0
% 0.08/0.21 % Propositional preprocessing time : 0.000
% 0.08/0.21 % Propositional encoding time : 0.000
% 0.08/0.21 % Propositional solver time : 0.000
% 0.08/0.21 % Success case prop preproc time : 0.000
% 0.08/0.21 % Success case prop encoding time : 0.000
% 0.08/0.21 % Success case prop solver time : 0.000
% 0.08/0.21 % Current number of processed clauses : 271
% 0.08/0.21 % Positive orientable unit clauses : 260
% 0.08/0.21 % Positive unorientable unit clauses: 0
% 0.08/0.21 % Negative unit clauses : 0
% 0.08/0.21 % Non-unit-clauses : 11
% 0.08/0.21 % Current number of unprocessed clauses: 99
% 0.08/0.21 % ...number of literals in the above : 372
% 0.08/0.21 % Current number of archived formulas : 0
% 0.08/0.21 % Current number of archived clauses : 1
% 0.08/0.21 % Clause-clause subsumption calls (NU) : 15
% 0.08/0.21 % Rec. Clause-clause subsumption calls : 14
% 0.08/0.21 % Non-unit clause-clause subsumptions : 0
% 0.08/0.21 % Unit Clause-clause subsumption calls : 5
% 0.08/0.21 % Rewrite failures with RHS unbound : 0
% 0.08/0.21 % BW rewrite match attempts : 2
% 0.08/0.21 % BW rewrite match successes : 1
% 0.08/0.21 % Condensation attempts : 0
% 0.08/0.21 % Condensation successes : 0
% 0.08/0.21 % Termbank termtop insertions : 30306
% 0.08/0.21 % Search garbage collected termcells : 11687
% 0.08/0.21
% 0.08/0.21 % -------------------------------------------------
% 0.08/0.21 % User time : 0.021 s
% 0.08/0.21 % System time : 0.008 s
% 0.08/0.21 % Total time : 0.029 s
% 0.08/0.21 % Maximum resident set size: 6856 pages
% 0.08/0.21
% 0.08/0.21 % -------------------------------------------------
% 0.08/0.21 % User time : 0.031 s
% 0.08/0.21 % System time : 0.011 s
% 0.08/0.21 % Total time : 0.042 s
% 0.08/0.21 % Maximum resident set size: 5632 pages
% 0.08/0.21 % E exiting
%------------------------------------------------------------------------------