%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU813^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:27:54 AM UTC 2026
% Result : Theorem 1.86s 0.58s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU813^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n013.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 14:33:06 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.24/0.29 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p
% 1.86/0.58 % Version: 3.5.1-ho
% 1.86/0.58 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.86/0.58 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.58 % Starting ehoh_best5 with 300s (1) cores
% 1.86/0.58 % Starting almost_fo_3_lam with 300s (1) cores
% 1.86/0.58 % Starting new_bool_5 with 300s (1) cores
% 1.86/0.58 % Starting pre_casc_3 with 300s (1) cores
% 1.86/0.58 % Starting ho_unfolding_8 with 300s (1) cores
% 1.86/0.58 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.86/0.58 % Starting new_bool_3 with 300s (1) cores
% 1.86/0.58 % Starting new_ho_5 with 300s (1) cores
% 1.86/0.58 % ho_unfolding_8 with pid 2202828 completed with status 0
% 1.86/0.58 % Result found by ho_unfolding_8
% 1.86/0.58 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.86/0.58 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.58 % Starting ehoh_best5 with 300s (1) cores
% 1.86/0.58 % Starting almost_fo_3_lam with 300s (1) cores
% 1.86/0.58 % Starting new_bool_5 with 300s (1) cores
% 1.86/0.58 % Starting pre_casc_3 with 300s (1) cores
% 1.86/0.58 % Starting ho_unfolding_8 with 300s (1) cores
% 1.86/0.58 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.86/0.58 % No SInE strategy applied
% 1.86/0.58 % Search class: HGHSM-FSLM32-DHFMMSBN
% 1.86/0.58 % partial match(1): HGHSM-FSLM32-MHFMMSBN
% 1.86/0.58 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 1.86/0.58 % Starting SubtermCWHack with 31s (1) cores
% 1.86/0.58 % SubtermCWHack with pid 2202844 completed with status 0
% 1.86/0.58 % Result found by SubtermCWHack
% 1.86/0.58 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.86/0.58 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.58 % Starting ehoh_best5 with 300s (1) cores
% 1.86/0.58 % Starting almost_fo_3_lam with 300s (1) cores
% 1.86/0.58 % Starting new_bool_5 with 300s (1) cores
% 1.86/0.58 % Starting pre_casc_3 with 300s (1) cores
% 1.86/0.58 % Starting ho_unfolding_8 with 300s (1) cores
% 1.86/0.58 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.86/0.58 % No SInE strategy applied
% 1.86/0.58 % Search class: HGHSM-FSLM32-DHFMMSBN
% 1.86/0.58 % partial match(1): HGHSM-FSLM32-MHFMMSBN
% 1.86/0.58 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 1.86/0.58 % Starting SubtermCWHack with 31s (1) cores
% 1.86/0.58 % Preprocessing time : 0.006 s
% 1.86/0.58
% 1.86/0.58 % Proof found!
% 1.86/0.58 % SZS status Theorem
% 1.86/0.58 % SZS output start CNFRefutation
% 1.86/0.58 thf(decl_23, type, in: $i > $i > $o).
% 1.86/0.58 thf(decl_24, type, exu: ($i > $o) > $o).
% 1.86/0.58 thf(decl_25, type, setextAx: $o).
% 1.86/0.58 thf(decl_26, type, emptyset: $i).
% 1.86/0.58 thf(decl_27, type, emptysetAx: $o).
% 1.86/0.58 thf(decl_28, type, setadjoin: $i > $i > $i).
% 1.86/0.58 thf(decl_29, type, setadjoinAx: $o).
% 1.86/0.58 thf(decl_30, type, powerset: $i > $i).
% 1.86/0.58 thf(decl_31, type, powersetAx: $o).
% 1.86/0.58 thf(decl_32, type, setunion: $i > $i).
% 1.86/0.58 thf(decl_33, type, setunionAx: $o).
% 1.86/0.58 thf(decl_34, type, omega: $i).
% 1.86/0.58 thf(decl_35, type, omega0Ax: $o).
% 1.86/0.58 thf(decl_36, type, omegaSAx: $o).
% 1.86/0.58 thf(decl_37, type, omegaIndAx: $o).
% 1.86/0.58 thf(decl_38, type, replAx: $o).
% 1.86/0.58 thf(decl_39, type, foundationAx: $o).
% 1.86/0.58 thf(decl_40, type, wellorderingAx: $o).
% 1.86/0.58 thf(decl_41, type, descr: ($i > $o) > $i).
% 1.86/0.58 thf(decl_42, type, descrp: $o).
% 1.86/0.58 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 1.86/0.58 thf(decl_44, type, dsetconstrI: $o).
% 1.86/0.58 thf(decl_45, type, dsetconstrEL: $o).
% 1.86/0.58 thf(decl_46, type, dsetconstrER: $o).
% 1.86/0.58 thf(decl_47, type, exuE1: $o).
% 1.86/0.58 thf(decl_48, type, prop2set: $o > $i).
% 1.86/0.58 thf(decl_49, type, prop2setE: $o).
% 1.86/0.58 thf(decl_50, type, emptysetE: $o).
% 1.86/0.58 thf(decl_51, type, emptysetimpfalse: $o).
% 1.86/0.59 thf(decl_52, type, notinemptyset: $o).
% 1.86/0.59 thf(decl_53, type, exuE3e: $o).
% 1.86/0.59 thf(decl_54, type, setext: $o).
% 1.86/0.59 thf(decl_55, type, emptyI: $o).
% 1.86/0.59 thf(decl_56, type, noeltsimpempty: $o).
% 1.86/0.59 thf(decl_57, type, setbeta: $o).
% 1.86/0.59 thf(decl_58, type, nonempty: $i > $o).
% 1.86/0.59 thf(decl_59, type, nonemptyE1: $o).
% 1.86/0.59 thf(decl_60, type, nonemptyI: $o).
% 1.86/0.59 thf(decl_61, type, nonemptyI1: $o).
% 1.86/0.59 thf(decl_62, type, setadjoinIL: $o).
% 1.86/0.59 thf(decl_63, type, emptyinunitempty: $o).
% 1.86/0.59 thf(decl_64, type, setadjoinIR: $o).
% 1.86/0.59 thf(decl_65, type, setadjoinE: $o).
% 1.86/0.59 thf(decl_66, type, setadjoinOr: $o).
% 1.86/0.59 thf(decl_67, type, setoftrueEq: $o).
% 1.86/0.59 thf(decl_68, type, powersetI: $o).
% 1.86/0.59 thf(decl_69, type, emptyinPowerset: $o).
% 1.86/0.59 thf(decl_70, type, emptyInPowerset: $o).
% 1.86/0.59 thf(decl_71, type, powersetE: $o).
% 1.86/0.59 thf(decl_72, type, setunionI: $o).
% 1.86/0.59 thf(decl_73, type, setunionE: $o).
% 1.86/0.59 thf(decl_74, type, subPowSU: $o).
% 1.86/0.59 thf(decl_75, type, exuE2: $o).
% 1.86/0.59 thf(decl_76, type, nonemptyImpWitness: $o).
% 1.86/0.59 thf(decl_77, type, uniqinunit: $o).
% 1.86/0.59 thf(decl_78, type, notinsingleton: $o).
% 1.86/0.59 thf(decl_79, type, eqinunit: $o).
% 1.86/0.59 thf(decl_80, type, singletonsswitch: $o).
% 1.86/0.59 thf(decl_81, type, upairsetE: $o).
% 1.86/0.59 thf(decl_82, type, upairsetIL: $o).
% 1.86/0.59 thf(decl_83, type, upairsetIR: $o).
% 1.86/0.59 thf(decl_84, type, emptyE1: $o).
% 1.86/0.59 thf(decl_85, type, vacuousDall: $o).
% 1.86/0.59 thf(decl_86, type, quantDeMorgan1: $o).
% 1.86/0.59 thf(decl_87, type, quantDeMorgan2: $o).
% 1.86/0.59 thf(decl_88, type, quantDeMorgan3: $o).
% 1.86/0.59 thf(decl_89, type, quantDeMorgan4: $o).
% 1.86/0.59 thf(decl_90, type, prop2setI: $o).
% 1.86/0.59 thf(decl_91, type, set2prop: $i > $o).
% 1.86/0.59 thf(decl_92, type, prop2set2propI: $o).
% 1.86/0.59 thf(decl_93, type, notdexE: $o).
% 1.86/0.59 thf(decl_94, type, notdallE: $o).
% 1.86/0.59 thf(decl_95, type, exuI1: $o).
% 1.86/0.59 thf(decl_96, type, exuI3: $o).
% 1.86/0.59 thf(decl_97, type, exuI2: $o).
% 1.86/0.59 thf(decl_98, type, inCongP: $o).
% 1.86/0.59 thf(decl_99, type, in__Cong: $o).
% 1.86/0.59 thf(decl_100, type, exuE3u: $o).
% 1.86/0.59 thf(decl_101, type, exu__Cong: $o).
% 1.86/0.59 thf(decl_102, type, emptyset__Cong: $o).
% 1.86/0.59 thf(decl_103, type, setadjoin__Cong: $o).
% 1.86/0.59 thf(decl_104, type, powerset__Cong: $o).
% 1.86/0.59 thf(decl_105, type, setunion__Cong: $o).
% 1.86/0.59 thf(decl_106, type, omega__Cong: $o).
% 1.86/0.59 thf(decl_107, type, exuEu: $o).
% 1.86/0.59 thf(decl_108, type, descr__Cong: $o).
% 1.86/0.59 thf(decl_109, type, dsetconstr__Cong: $o).
% 1.86/0.59 thf(decl_110, type, subset: $i > $i > $o).
% 1.86/0.59 thf(decl_113, type, subsetI1: $o).
% 1.86/0.59 thf(decl_114, type, eqimpsubset2: $o).
% 1.86/0.59 thf(decl_115, type, eqimpsubset1: $o).
% 1.86/0.59 thf(decl_116, type, subsetI2: $o).
% 1.86/0.59 thf(decl_117, type, emptysetsubset: $o).
% 1.86/0.59 thf(decl_118, type, subsetE: $o).
% 1.86/0.59 thf(decl_119, type, subsetE2: $o).
% 1.86/0.59 thf(decl_120, type, notsubsetI: $o).
% 1.86/0.59 thf(decl_121, type, notequalI1: $o).
% 1.86/0.59 thf(decl_122, type, notequalI2: $o).
% 1.86/0.59 thf(decl_123, type, subsetRefl: $o).
% 1.86/0.59 thf(decl_124, type, subsetTrans: $o).
% 1.86/0.59 thf(decl_125, type, setadjoinSub: $o).
% 1.86/0.59 thf(decl_126, type, setadjoinSub2: $o).
% 1.86/0.59 thf(decl_127, type, subset2powerset: $o).
% 1.86/0.59 thf(decl_128, type, setextsub: $o).
% 1.86/0.59 thf(decl_129, type, subsetemptysetimpeq: $o).
% 1.86/0.59 thf(decl_130, type, powersetI1: $o).
% 1.86/0.59 thf(decl_131, type, powersetE1: $o).
% 1.86/0.59 thf(decl_132, type, inPowerset: $o).
% 1.86/0.59 thf(decl_133, type, powersetsubset: $o).
% 1.86/0.59 thf(decl_134, type, sepInPowerset: $o).
% 1.86/0.59 thf(decl_135, type, sepSubset: $o).
% 1.86/0.59 thf(decl_136, type, binunion: $i > $i > $i).
% 1.86/0.59 thf(decl_137, type, binunionIL: $o).
% 1.86/0.59 thf(decl_138, type, upairset2IR: $o).
% 1.86/0.59 thf(decl_139, type, binunionIR: $o).
% 1.86/0.59 thf(decl_140, type, binunionEcases: $o).
% 1.86/0.59 thf(decl_141, type, binunionE: $o).
% 1.86/0.59 thf(decl_142, type, binunionLsub: $o).
% 1.86/0.59 thf(decl_143, type, binunionRsub: $o).
% 1.86/0.59 thf(decl_144, type, binintersect: $i > $i > $i).
% 1.86/0.59 thf(decl_145, type, binintersectI: $o).
% 1.86/0.59 thf(decl_146, type, binintersectSubset5: $o).
% 1.86/0.59 thf(decl_147, type, binintersectEL: $o).
% 1.86/0.59 thf(decl_148, type, binintersectLsub: $o).
% 1.86/0.59 thf(decl_149, type, binintersectSubset2: $o).
% 1.86/0.59 thf(decl_150, type, binintersectSubset3: $o).
% 1.86/0.59 thf(decl_151, type, binintersectER: $o).
% 1.86/0.59 thf(decl_152, type, disjointsetsI1: $o).
% 1.86/0.59 thf(decl_153, type, binintersectRsub: $o).
% 1.86/0.59 thf(decl_154, type, binintersectSubset4: $o).
% 1.86/0.59 thf(decl_155, type, binintersectSubset1: $o).
% 1.86/0.59 thf(decl_156, type, bs114d: $o).
% 1.86/0.59 thf(decl_158, type, setminus: $i > $i > $i).
% 1.86/0.59 thf(decl_159, type, setminusI: $o).
% 1.86/0.59 thf(decl_160, type, setminusEL: $o).
% 1.86/0.59 thf(decl_161, type, setminusER: $o).
% 1.86/0.59 thf(decl_162, type, setminusSubset2: $o).
% 1.86/0.59 thf(decl_163, type, setminusERneg: $o).
% 1.86/0.59 thf(decl_164, type, setminusELneg: $o).
% 1.86/0.59 thf(decl_165, type, setminusILneg: $o).
% 1.86/0.59 thf(decl_166, type, setminusIRneg: $o).
% 1.86/0.59 thf(decl_167, type, setminusLsub: $o).
% 1.86/0.59 thf(decl_168, type, setminusSubset1: $o).
% 1.86/0.59 thf(decl_169, type, symdiff: $i > $i > $i).
% 1.86/0.59 thf(decl_170, type, symdiffE: $o).
% 1.86/0.59 thf(decl_171, type, symdiffI1: $o).
% 1.86/0.59 thf(decl_172, type, symdiffI2: $o).
% 1.86/0.59 thf(decl_173, type, symdiffIneg1: $o).
% 1.86/0.59 thf(decl_174, type, symdiffIneg2: $o).
% 1.86/0.59 thf(decl_175, type, iskpair: $i > $o).
% 1.86/0.59 thf(decl_176, type, secondinupair: $o).
% 1.86/0.59 thf(decl_177, type, setukpairIL: $o).
% 1.86/0.59 thf(decl_178, type, setukpairIR: $o).
% 1.86/0.59 thf(decl_179, type, kpairiskpair: $o).
% 1.86/0.59 thf(decl_180, type, kpair: $i > $i > $i).
% 1.86/0.59 thf(decl_181, type, kpairp: $o).
% 1.86/0.59 thf(decl_182, type, cartprod: $i > $i > $i).
% 1.86/0.59 thf(decl_183, type, singletonsubset: $o).
% 1.86/0.59 thf(decl_184, type, singletoninpowerset: $o).
% 1.86/0.59 thf(decl_185, type, singletoninpowunion: $o).
% 1.86/0.59 thf(decl_186, type, upairset2E: $o).
% 1.86/0.59 thf(decl_187, type, upairsubunion: $o).
% 1.86/0.59 thf(decl_188, type, upairinpowunion: $o).
% 1.86/0.59 thf(decl_189, type, ubforcartprodlem1: $o).
% 1.86/0.59 thf(decl_190, type, ubforcartprodlem2: $o).
% 1.86/0.59 thf(decl_191, type, ubforcartprodlem3: $o).
% 1.86/0.59 thf(decl_192, type, cartprodpairin: $o).
% 1.86/0.59 thf(decl_193, type, cartprodmempair1: $o).
% 1.86/0.59 thf(decl_194, type, cartprodmempair: $o).
% 1.86/0.59 thf(decl_195, type, setunionE2: $o).
% 1.86/0.59 thf(decl_196, type, setunionsingleton1: $o).
% 1.86/0.59 thf(decl_197, type, setunionsingleton2: $o).
% 1.86/0.59 thf(decl_198, type, setunionsingleton: $o).
% 1.86/0.59 thf(decl_199, type, singleton: $i > $o).
% 1.86/0.59 thf(decl_200, type, singletonprop: $o).
% 1.86/0.59 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 1.86/0.59 thf(decl_202, type, ex1E1: $o).
% 1.86/0.59 thf(decl_203, type, ex1I: $o).
% 1.86/0.59 thf(decl_204, type, ex1I2: $o).
% 1.86/0.59 thf(decl_205, type, singletonsuniq: $o).
% 1.86/0.59 thf(decl_210, type, setukpairinjL1: $o).
% 1.86/0.59 thf(decl_211, type, kfstsingleton: $o).
% 1.86/0.59 thf(decl_212, type, theprop: $o).
% 1.86/0.59 thf(decl_213, type, kfst: $i > $i).
% 1.86/0.59 thf(decl_214, type, kfstpairEq: $o).
% 1.86/0.59 thf(decl_215, type, cartprodfstin: $o).
% 1.86/0.59 thf(decl_216, type, setukpairinjL2: $o).
% 1.86/0.59 thf(decl_217, type, setukpairinjL: $o).
% 1.86/0.59 thf(decl_218, type, setukpairinjR11: $o).
% 1.86/0.59 thf(decl_219, type, setukpairinjR12: $o).
% 1.86/0.59 thf(decl_220, type, setukpairinjR1: $o).
% 1.86/0.59 thf(decl_221, type, upairequniteq: $o).
% 1.86/0.59 thf(decl_222, type, setukpairinjR2: $o).
% 1.86/0.59 thf(decl_223, type, setukpairinjR: $o).
% 1.86/0.59 thf(decl_224, type, ksndsingleton: $o).
% 1.86/0.59 thf(decl_225, type, ksnd: $i > $i).
% 1.86/0.59 thf(decl_226, type, ksndpairEq: $o).
% 1.86/0.59 thf(decl_227, type, kpairsurjEq: $o).
% 1.86/0.59 thf(decl_228, type, cartprodsndin: $o).
% 1.86/0.59 thf(decl_229, type, cartprodpairmemEL: $o).
% 1.86/0.59 thf(decl_230, type, cartprodpairmemER: $o).
% 1.86/0.59 thf(decl_231, type, cartprodmempaircEq: $o).
% 1.86/0.59 thf(decl_232, type, cartprodfstpairEq: $o).
% 1.86/0.59 thf(decl_233, type, cartprodsndpairEq: $o).
% 1.86/0.59 thf(decl_234, type, cartprodpairsurjEq: $o).
% 1.86/0.59 thf(decl_235, type, breln: $i > $i > $i > $o).
% 1.86/0.59 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 1.86/0.59 thf(decl_237, type, dpsetconstrI: $o).
% 1.86/0.59 thf(decl_238, type, dpsetconstrSub: $o).
% 1.86/0.59 thf(decl_239, type, setOfPairsIsBReln: $o).
% 1.86/0.59 thf(decl_240, type, dpsetconstrERa: $o).
% 1.86/0.59 thf(decl_241, type, dpsetconstrEL1: $o).
% 1.86/0.59 thf(decl_242, type, dpsetconstrEL2: $o).
% 1.86/0.59 thf(decl_243, type, dpsetconstrER: $o).
% 1.86/0.59 thf(decl_244, type, func: $i > $i > $i > $o).
% 1.86/0.59 thf(decl_245, type, funcSet: $i > $i > $i).
% 1.86/0.59 thf(decl_246, type, funcImageSingleton: $o).
% 1.86/0.59 thf(decl_247, type, apProp: $o).
% 1.86/0.59 thf(decl_248, type, ap: $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_249, type, app: $o).
% 1.86/0.59 thf(decl_250, type, infuncsetfunc: $o).
% 1.86/0.59 thf(decl_251, type, ap2p: $o).
% 1.86/0.59 thf(decl_252, type, funcinfuncset: $o).
% 1.86/0.59 thf(decl_253, type, lamProp: $o).
% 1.86/0.59 thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_255, type, lamp: $o).
% 1.86/0.59 thf(decl_256, type, lam2p: $o).
% 1.86/0.59 thf(decl_257, type, brelnall1: $o).
% 1.86/0.59 thf(decl_258, type, brelnall2: $o).
% 1.86/0.59 thf(decl_259, type, ex1E2: $o).
% 1.86/0.59 thf(decl_260, type, funcGraphProp1: $o).
% 1.86/0.59 thf(decl_261, type, funcGraphProp3: $o).
% 1.86/0.59 thf(decl_262, type, funcGraphProp2: $o).
% 1.86/0.59 thf(decl_263, type, funcextLem: $o).
% 1.86/0.59 thf(decl_264, type, funcGraphProp4: $o).
% 1.86/0.59 thf(decl_265, type, subbreln: $o).
% 1.86/0.59 thf(decl_266, type, eqbreln: $o).
% 1.86/0.59 thf(decl_267, type, funcext: $o).
% 1.86/0.59 thf(decl_268, type, funcext2: $o).
% 1.86/0.59 thf(decl_269, type, ap2apEq1: $o).
% 1.86/0.59 thf(decl_270, type, ap2apEq2: $o).
% 1.86/0.59 thf(decl_271, type, beta1: $o).
% 1.86/0.59 thf(decl_272, type, eta1: $o).
% 1.86/0.59 thf(decl_273, type, lam2lamEq: $o).
% 1.86/0.59 thf(decl_274, type, beta2: $o).
% 1.86/0.59 thf(decl_275, type, eta2: $o).
% 1.86/0.59 thf(decl_276, type, iffalseProp1: $o).
% 1.86/0.59 thf(decl_277, type, iffalseProp2: $o).
% 1.86/0.59 thf(decl_278, type, iftrueProp1: $o).
% 1.86/0.59 thf(decl_279, type, iftrueProp2: $o).
% 1.86/0.59 thf(decl_280, type, ifSingleton: $o).
% 1.86/0.59 thf(decl_281, type, if: $i > $o > $i > $i > $i).
% 1.86/0.59 thf(decl_282, type, ifp: $o).
% 1.86/0.59 thf(decl_283, type, theeq: $o).
% 1.86/0.59 thf(decl_284, type, iftrue: $o).
% 1.86/0.59 thf(decl_285, type, iffalse: $o).
% 1.86/0.59 thf(decl_286, type, iftrueorfalse: $o).
% 1.86/0.59 thf(decl_287, type, binintersectT_lem: $o).
% 1.86/0.59 thf(decl_288, type, binunionT_lem: $o).
% 1.86/0.59 thf(decl_289, type, powersetT_lem: $o).
% 1.86/0.59 thf(decl_290, type, setminusT_lem: $o).
% 1.86/0.59 thf(decl_291, type, complementT_lem: $o).
% 1.86/0.59 thf(decl_292, type, setextT: $o).
% 1.86/0.59 thf(decl_293, type, subsetTI: $o).
% 1.86/0.59 thf(decl_294, type, powersetTI1: $o).
% 1.86/0.59 thf(decl_295, type, powersetTE1: $o).
% 1.86/0.59 thf(decl_296, type, complementTI1: $o).
% 1.86/0.59 thf(decl_297, type, complementTE1: $o).
% 1.86/0.59 thf(decl_298, type, binintersectTELcontra: $o).
% 1.86/0.59 thf(decl_299, type, binintersectTERcontra: $o).
% 1.86/0.59 thf(decl_300, type, contrasubsetT: $o).
% 1.86/0.59 thf(decl_301, type, contrasubsetT1: $o).
% 1.86/0.59 thf(decl_302, type, contrasubsetT2: $o).
% 1.86/0.59 thf(decl_303, type, contrasubsetT3: $o).
% 1.86/0.59 thf(decl_304, type, doubleComplementI1: $o).
% 1.86/0.59 thf(decl_305, type, doubleComplementE1: $o).
% 1.86/0.59 thf(decl_306, type, doubleComplementSub1: $o).
% 1.86/0.59 thf(decl_307, type, doubleComplementSub2: $o).
% 1.86/0.59 thf(decl_308, type, doubleComplementEq: $o).
% 1.86/0.59 thf(decl_309, type, complementTnotintersectT: $o).
% 1.86/0.59 thf(decl_310, type, complementImpComplementIntersect: $o).
% 1.86/0.59 thf(decl_311, type, complementSubsetComplementIntersect: $o).
% 1.86/0.59 thf(decl_312, type, complementInPowersetComplementIntersect: $o).
% 1.86/0.59 thf(decl_313, type, contraSubsetComplement: $o).
% 1.86/0.59 thf(decl_314, type, complementTcontraSubset: $o).
% 1.86/0.59 thf(decl_315, type, binunionTILcontra: $o).
% 1.86/0.59 thf(decl_316, type, binunionTIRcontra: $o).
% 1.86/0.59 thf(decl_317, type, inIntersectImpInUnion: $o).
% 1.86/0.59 thf(decl_318, type, inIntersectImpInUnion2: $o).
% 1.86/0.59 thf(decl_319, type, inIntersectImpInIntersectUnions: $o).
% 1.86/0.59 thf(decl_320, type, intersectInPowersetIntersectUnions: $o).
% 1.86/0.59 thf(decl_321, type, inComplementUnionImpNotIn1: $o).
% 1.86/0.59 thf(decl_322, type, inComplementUnionImpInComplement1: $o).
% 1.86/0.59 thf(decl_323, type, binunionTE: $o).
% 1.86/0.59 thf(decl_324, type, binunionTEcontra: $o).
% 1.86/0.59 thf(decl_325, type, demorgan2a1: $o).
% 1.86/0.59 thf(decl_326, type, complementUnionInPowersetComplement: $o).
% 1.86/0.59 thf(decl_327, type, demorgan2a2: $o).
% 1.86/0.59 thf(decl_328, type, demorgan1a: $o).
% 1.86/0.59 thf(decl_329, type, demorgan1b: $o).
% 1.86/0.59 thf(decl_330, type, demorgan1: $o).
% 1.86/0.59 thf(decl_331, type, demorgan2a: $o).
% 1.86/0.59 thf(decl_332, type, demorgan2b2: $o).
% 1.86/0.59 thf(decl_333, type, demorgan2b: $o).
% 1.86/0.59 thf(decl_334, type, demorgan2: $o).
% 1.86/0.59 thf(decl_335, type, woz13rule0: $o).
% 1.86/0.59 thf(decl_336, type, woz13rule1: $o).
% 1.86/0.59 thf(decl_337, type, woz13rule2: $o).
% 1.86/0.59 thf(decl_338, type, woz13rule3: $o).
% 1.86/0.59 thf(decl_339, type, woz13rule4: $o).
% 1.86/0.59 thf(decl_340, type, woz1_1: $o).
% 1.86/0.59 thf(decl_341, type, woz1_2: $o).
% 1.86/0.59 thf(decl_342, type, woz1_3: $o).
% 1.86/0.59 thf(decl_343, type, woz1_4: $o).
% 1.86/0.59 thf(decl_344, type, woz1_5: $o).
% 1.86/0.59 thf(decl_345, type, breln1: $i > $i > $o).
% 1.86/0.59 thf(decl_346, type, breln1all2: $o).
% 1.86/0.59 thf(decl_347, type, breln1Set: $i > $i).
% 1.86/0.59 thf(decl_348, type, breln1SetBreln1: $o).
% 1.86/0.59 thf(decl_354, type, reflwellordering: $i > $i > $o).
% 1.86/0.59 thf(decl_355, type, choice2fnsingleton: $o).
% 1.86/0.59 thf(decl_356, type, setOfPairsIsBReln1: $o).
% 1.86/0.59 thf(decl_357, type, breln1all1: $o).
% 1.86/0.59 thf(decl_358, type, subbreln1: $o).
% 1.86/0.59 thf(decl_359, type, eqbreln1: $o).
% 1.86/0.59 thf(decl_360, type, breln1invset: $i > $i > $i).
% 1.86/0.59 thf(decl_361, type, breln1invprop: $o).
% 1.86/0.59 thf(decl_362, type, breln1invI: $o).
% 1.86/0.59 thf(decl_363, type, breln1invE: $o).
% 1.86/0.59 thf(decl_364, type, breln1compset: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_365, type, breln1compprop: $o).
% 1.86/0.59 thf(decl_366, type, breln1compI: $o).
% 1.86/0.59 thf(decl_367, type, breln1compE: $o).
% 1.86/0.59 thf(decl_368, type, breln1compEex: $o).
% 1.86/0.59 thf(decl_369, type, breln1unionprop: $o).
% 1.86/0.59 thf(decl_370, type, breln1unionIL: $o).
% 1.86/0.59 thf(decl_371, type, breln1unionIR: $o).
% 1.86/0.59 thf(decl_372, type, breln1unionI: $o).
% 1.86/0.59 thf(decl_373, type, breln1unionE: $o).
% 1.86/0.59 thf(decl_374, type, breln1unionEcases: $o).
% 1.86/0.59 thf(decl_375, type, breln1unionCommutes: $o).
% 1.86/0.59 thf(decl_376, type, woz2Ex: $o).
% 1.86/0.59 thf(decl_377, type, woz2W: $o).
% 1.86/0.59 thf(decl_378, type, woz2A: $o).
% 1.86/0.59 thf(decl_379, type, woz2B: $o).
% 1.86/0.59 thf(decl_380, type, image1Ex: $o).
% 1.86/0.59 thf(decl_381, type, image1Ex1: $o).
% 1.86/0.59 thf(decl_382, type, image1: $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_383, type, image1Equiv: $o).
% 1.86/0.59 thf(decl_384, type, image1E: $o).
% 1.86/0.59 thf(decl_385, type, image1I: $o).
% 1.86/0.59 thf(decl_386, type, injective: $i > $i > $i > $o).
% 1.86/0.59 thf(decl_387, type, injFuncSet: $i > $i > $i).
% 1.86/0.59 thf(decl_388, type, injFuncInInjFuncSet: $o).
% 1.86/0.59 thf(decl_389, type, injFuncSetFuncIn: $o).
% 1.86/0.59 thf(decl_390, type, injFuncSetFuncInj: $o).
% 1.86/0.59 thf(decl_391, type, surjective: $i > $i > $i > $o).
% 1.86/0.59 thf(decl_392, type, surjFuncSet: $i > $i > $i).
% 1.86/0.59 thf(decl_393, type, surjFuncSetFuncIn: $o).
% 1.86/0.59 thf(decl_394, type, surjFuncSetFuncSurj: $o).
% 1.86/0.59 thf(decl_395, type, leftInvIsSurj: $o).
% 1.86/0.59 thf(decl_396, type, surjCantorThm: $o).
% 1.86/0.59 thf(decl_397, type, foundation2: $o).
% 1.86/0.59 thf(decl_398, type, notinself: $o).
% 1.86/0.59 thf(decl_399, type, notinself2: $o).
% 1.86/0.59 thf(decl_400, type, omegaS: $i > $i).
% 1.86/0.59 thf(decl_401, type, omegaSp: $o).
% 1.86/0.59 thf(decl_402, type, omegaSclos: $o).
% 1.86/0.59 thf(decl_403, type, peano0notS: $o).
% 1.86/0.59 thf(decl_407, type, peanoSinj: $o).
% 1.86/0.59 thf(decl_409, type, transitiveset: $i > $o).
% 1.86/0.59 thf(decl_410, type, transitivesetOp1: $o).
% 1.86/0.59 thf(decl_411, type, epred1_0: $o).
% 1.86/0.59 thf(decl_412, type, esk1_2: $i > $i > $i).
% 1.86/0.59 thf(decl_413, type, esk2_2: $i > $i > $i).
% 1.86/0.59 thf(decl_414, type, esk3_2: $i > $i > $i).
% 1.86/0.59 thf(decl_415, type, esk4_1: $i > $i).
% 1.86/0.59 thf(decl_416, type, esk5_2: ($i > $i > $o) > $i > $i).
% 1.86/0.59 thf(decl_417, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 1.86/0.59 thf(decl_418, type, esk7_2: ($i > $i > $o) > $i > $i).
% 1.86/0.59 thf(decl_419, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 1.86/0.59 thf(decl_420, type, esk9_1: $i > $i).
% 1.86/0.59 thf(decl_421, type, esk10_2: ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_422, type, esk11_2: ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_423, type, esk12_1: ($i > $o) > $i).
% 1.86/0.59 thf(decl_424, type, esk13_2: ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_425, type, esk14_1: ($i > $o) > $i).
% 1.86/0.59 thf(decl_426, type, esk15_2: $i > $i > $i).
% 1.86/0.59 thf(decl_427, type, esk16_2: $i > $i > $i).
% 1.86/0.59 thf(decl_428, type, esk17_1: $i > $i).
% 1.86/0.59 thf(decl_429, type, esk18_1: $i > $i).
% 1.86/0.59 thf(decl_430, type, esk19_1: $i > $i).
% 1.86/0.59 thf(decl_431, type, esk20_2: $i > $i > $i).
% 1.86/0.59 thf(decl_432, type, esk21_3: $i > $i > $o > $i).
% 1.86/0.59 thf(decl_433, type, esk22_2: ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_434, type, esk23_1: ($i > $o) > $i).
% 1.86/0.59 thf(decl_435, type, esk24_1: $i > $i).
% 1.86/0.59 thf(decl_436, type, esk25_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_437, type, esk26_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_438, type, esk27_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_439, type, esk28_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_440, type, esk29_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_441, type, esk30_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_442, type, esk31_2: ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_443, type, esk32_1: ($i > $o) > $i).
% 1.86/0.59 thf(decl_444, type, esk33_1: ($i > $o) > $i).
% 1.86/0.59 thf(decl_445, type, esk34_1: ($i > $o) > $i).
% 1.86/0.59 thf(decl_446, type, esk35_1: ($i > $o) > $i).
% 1.86/0.59 thf(decl_447, type, esk36_2: ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_448, type, esk37_1: ($i > $o) > $i).
% 1.86/0.59 thf(decl_449, type, esk38_2: ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_450, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 1.86/0.59 thf(decl_451, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 1.86/0.59 thf(decl_452, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_453, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 1.86/0.59 thf(decl_454, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_455, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 1.86/0.59 thf(decl_456, type, esk45_2: ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_457, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 1.86/0.59 thf(decl_458, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 1.86/0.59 thf(decl_459, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_460, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_461, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.86/0.59 thf(decl_462, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.86/0.59 thf(decl_463, type, esk52_2: $i > $i > $i).
% 1.86/0.59 thf(decl_464, type, esk53_2: $i > $i > $i).
% 1.86/0.59 thf(decl_465, type, esk54_2: $i > $i > $i).
% 1.86/0.59 thf(decl_466, type, esk55_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_467, type, esk56_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_468, type, esk57_2: $i > $i > $i).
% 1.86/0.59 thf(decl_469, type, esk58_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_470, type, esk59_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_471, type, esk60_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_472, type, esk61_3: $i > ($i > $o) > $i > $i).
% 1.86/0.59 thf(decl_473, type, esk62_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_474, type, esk63_2: $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_475, type, esk64_3: $i > $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_476, type, esk65_3: $i > $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_477, type, esk66_3: $i > $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_478, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_479, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_480, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_481, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_482, type, esk71_4: $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_483, type, esk72_4: $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_484, type, esk73_4: $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_485, type, esk74_4: $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_486, type, esk75_4: $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_487, type, esk76_4: $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_488, type, esk77_4: $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_489, type, esk78_4: $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_490, type, esk79_4: $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_491, type, esk80_3: $i > $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_492, type, esk81_3: $i > $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_493, type, esk82_3: $i > $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_494, type, esk83_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_495, type, esk84_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_496, type, esk85_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_497, type, esk86_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_498, type, esk87_3: $i > $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_499, type, esk88_3: $i > $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_500, type, esk89_3: $i > $i > ($i > $i > $o) > $i).
% 1.86/0.59 thf(decl_501, type, esk90_3: $i > $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_502, type, esk91_3: $i > $i > ($i > $o) > $i).
% 1.86/0.59 thf(decl_503, type, esk92_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_504, type, esk93_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_505, type, esk94_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_506, type, esk95_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_507, type, esk96_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_508, type, esk97_3: $i > $i > $i > $i).
% 1.86/0.59 thf(decl_509, type, esk98_5: $i > $i > $i > $i > $i > $i).
% 1.86/0.59 thf(decl_510, type, esk99_6: $i > $i > $i > $i > $i > $o > $i).
% 1.86/0.59 thf(decl_511, type, esk100_2: $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_512, type, esk101_3: $i > ($i > $i) > $i > $i).
% 1.86/0.59 thf(decl_513, type, esk102_2: $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_514, type, esk103_3: $i > ($i > $i) > $i > $i).
% 1.86/0.59 thf(decl_515, type, esk104_3: $i > ($i > $i) > $i > $i).
% 1.86/0.59 thf(decl_516, type, esk105_3: $i > ($i > $i) > $i > $i).
% 1.86/0.59 thf(decl_517, type, esk106_3: $i > ($i > $i) > $i > $i).
% 1.86/0.59 thf(decl_518, type, esk107_3: $i > ($i > $i) > $i > $i).
% 1.86/0.59 thf(decl_519, type, esk108_3: $i > $i > ($i > $i) > $i).
% 1.86/0.59 thf(decl_520, type, esk109_4: $i > $i > ($i > $i) > $i > $i).
% 1.86/0.59 thf(decl_521, type, esk110_1: $i > $i).
% 1.86/0.59 thf(decl_522, type, esk111_1: $i > $i).
% 1.86/0.59 thf(decl_523, type, esk112_0: $i).
% 1.86/0.59 thf(decl_524, type, esk113_0: $i).
% 1.86/0.59 thf(decl_525, type, esk114_0: $i).
% 1.86/0.59 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', replAx)).
% 1.86/0.59 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', exu)).
% 1.86/0.59 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', descrp)).
% 1.86/0.59 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', exuE1)).
% 1.86/0.59 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', exuE3e)).
% 1.86/0.59 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', nonempty)).
% 1.86/0.59 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', nonemptyI)).
% 1.86/0.59 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', exuE2)).
% 1.86/0.59 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', exuI1)).
% 1.86/0.59 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', exuI3)).
% 1.86/0.59 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', exuI2)).
% 1.86/0.59 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', exuE3u)).
% 1.86/0.59 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', exu__Cong)).
% 1.86/0.59 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', exuEu)).
% 1.86/0.59 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', descr__Cong)).
% 1.86/0.59 thf(image1Ex1, axiom, ((image1Ex1)<=>![X4:$i, X58:$i > $i]:((exu @ (^[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&(((X2)=(X58 @ X3))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', image1Ex1)).
% 1.86/0.59 thf(transitiveset, axiom, ((transitiveset)=(^[X4:$i]:(![X21:$i]:((((in @ X21 @ X4))=>((subset @ X21 @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', transitiveset)).
% 1.86/0.59 thf(binintTransitive, 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)=>((breln1invprop)=>((breln1invI)=>((breln1invE)=>((breln1compprop)=>((breln1compI)=>((breln1compE)=>((breln1compEex)=>((breln1unionprop)=>((breln1unionIL)=>((breln1unionIR)=>((breln1unionI)=>((breln1unionE)=>((breln1unionEcases)=>((breln1unionCommutes)=>((woz2Ex)=>((woz2W)=>((woz2A)=>((woz2B)=>((image1Ex)=>((image1Ex1)=>((image1Equiv)=>((image1E)=>((image1I)=>((injFuncInInjFuncSet)=>((injFuncSetFuncIn)=>((injFuncSetFuncInj)=>((surjFuncSetFuncIn)=>((surjFuncSetFuncSurj)=>((leftInvIsSurj)=>((surjCantorThm)=>((foundation2)=>((notinself)=>((notinself2)=>((omegaSp)=>((omegaSclos)=>((peano0notS)=>((peanoSinj)=>((transitivesetOp1)=>![X21:$i]:(((transitiveset @ X21)=>![X48:$i]:(((transitiveset @ X48)=>(transitiveset @ (binintersect @ X21 @ X48))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintTransitive)).
% 1.86/0.59 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', dsetconstrI)).
% 1.86/0.59 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', dsetconstrEL)).
% 1.86/0.59 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', dsetconstrER)).
% 1.86/0.59 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setbeta)).
% 1.86/0.59 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', nonemptyE1)).
% 1.86/0.59 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', nonemptyI1)).
% 1.86/0.59 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setoftrueEq)).
% 1.86/0.59 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', nonemptyImpWitness)).
% 1.86/0.59 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', emptyE1)).
% 1.86/0.59 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', dsetconstr__Cong)).
% 1.86/0.59 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', sepInPowerset)).
% 1.86/0.59 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', sepSubset)).
% 1.86/0.59 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', singletonprop)).
% 1.86/0.59 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ex1E1)).
% 1.86/0.59 thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ex1I)).
% 1.86/0.59 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ex1I2)).
% 1.86/0.59 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', kfstsingleton)).
% 1.86/0.59 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ksndsingleton)).
% 1.86/0.59 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', dpsetconstrI)).
% 1.86/0.59 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', dpsetconstrSub)).
% 1.86/0.59 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setOfPairsIsBReln)).
% 1.86/0.59 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', dpsetconstrERa)).
% 1.86/0.59 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', dpsetconstrEL1)).
% 1.86/0.59 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', dpsetconstrEL2)).
% 1.86/0.59 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', dpsetconstrER)).
% 1.86/0.59 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$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/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', funcImageSingleton)).
% 1.86/0.59 thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', apProp)).
% 1.86/0.59 thf(lamProp, axiom, ((lamProp)<=>![X4:$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/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', lamProp)).
% 1.86/0.59 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', lamp)).
% 1.86/0.59 thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', lam2p)).
% 1.86/0.59 thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ex1E2)).
% 1.86/0.59 thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', beta1)).
% 1.86/0.59 thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', eta1)).
% 1.86/0.59 thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', lam2lamEq)).
% 1.86/0.59 thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', beta2)).
% 1.86/0.59 thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', eta2)).
% 1.86/0.59 thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X39))&(((X14)=(X2)))))|(((~((X39)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', iffalseProp1)).
% 1.86/0.59 thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X40))&(((X14)=(X2)))))|(((~((X40)))&(((X14)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', iffalseProp2)).
% 1.86/0.59 thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X41))&(((X14)=(X2)))))|(((~((X41)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', iftrueProp1)).
% 1.86/0.59 thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X42))&(((X14)=(X2)))))|(((~((X42)))&(((X14)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', iftrueProp2)).
% 1.86/0.59 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X43))&(((X14)=(X2)))))|(((~((X43)))&(((X14)=(X3))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ifSingleton)).
% 1.86/0.59 thf(choice2fnsingleton, axiom, ((choice2fnsingleton)<=>![X4:$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:$i]:((((in @ X14 @ X5))=>((((X52 @ X2 @ X14))=>((in @ (kpair @ X3 @ X14) @ X33)))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', choice2fnsingleton)).
% 1.86/0.59 thf(setOfPairsIsBReln1, axiom, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((X53 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setOfPairsIsBReln1)).
% 1.86/0.59 thf(image1Equiv, axiom, ((image1Equiv)<=>![X4:$i, X59:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[X3:$i]:(X59 @ X3))))<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X59 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', image1Equiv)).
% 1.86/0.59 thf(image1E, axiom, ((image1E)<=>![X4:$i, X60:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[X3:$i]:(X60 @ X3))))=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X60 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', image1E)).
% 1.86/0.59 thf(image1I, axiom, ((image1I)<=>![X4:$i, X61:$i > $i, X2:$i]:((?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X61 @ X3))))=>(in @ X2 @ (image1 @ X4 @ (^[X3:$i]:(X61 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', image1I)).
% 1.86/0.59 thf(foundation2, axiom, ((foundation2)<=>![X4:$i]:(((nonempty @ X4)=>?[X21:$i]:(((in @ X21 @ X4)&((binintersect @ X21 @ X4)=(emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', foundation2)).
% 1.86/0.59 thf(transitivesetOp1, axiom, ((transitivesetOp1)<=>![X21:$i]:(((transitiveset @ X21)=>![X4:$i]:(((in @ X4 @ X21)=>(subset @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', transitivesetOp1)).
% 1.86/0.59 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setextAx)).
% 1.86/0.59 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', emptysetAx)).
% 1.86/0.59 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setadjoinAx)).
% 1.86/0.59 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', powersetAx)).
% 1.86/0.59 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setunionAx)).
% 1.86/0.59 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', omega0Ax)).
% 1.86/0.59 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', omegaSAx)).
% 1.86/0.59 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', omegaIndAx)).
% 1.86/0.59 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', foundationAx)).
% 1.86/0.59 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', wellorderingAx)).
% 1.86/0.59 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', prop2setE)).
% 1.86/0.59 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', emptysetE)).
% 1.86/0.59 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', emptysetimpfalse)).
% 1.86/0.59 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', notinemptyset)).
% 1.86/0.59 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setext)).
% 1.86/0.59 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', emptyI)).
% 1.86/0.59 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', noeltsimpempty)).
% 1.86/0.59 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setadjoinIL)).
% 1.86/0.59 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', emptyinunitempty)).
% 1.86/0.59 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setadjoinIR)).
% 1.86/0.59 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setadjoinE)).
% 1.86/0.59 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setadjoinOr)).
% 1.86/0.59 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', powersetI)).
% 1.86/0.59 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', emptyinPowerset)).
% 1.86/0.59 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', emptyInPowerset)).
% 1.86/0.59 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', powersetE)).
% 1.86/0.59 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setunionI)).
% 1.86/0.59 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setunionE)).
% 1.86/0.59 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subPowSU)).
% 1.86/0.59 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', uniqinunit)).
% 1.86/0.59 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', notinsingleton)).
% 1.86/0.59 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', eqinunit)).
% 1.86/0.59 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', singletonsswitch)).
% 1.86/0.59 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', upairsetE)).
% 1.86/0.59 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', upairsetIL)).
% 1.86/0.59 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', upairsetIR)).
% 1.86/0.59 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', vacuousDall)).
% 1.86/0.59 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', quantDeMorgan1)).
% 1.86/0.59 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', quantDeMorgan2)).
% 1.86/0.59 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', quantDeMorgan3)).
% 1.86/0.59 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', quantDeMorgan4)).
% 1.86/0.59 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', prop2setI)).
% 1.86/0.59 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', prop2set2propI)).
% 1.86/0.59 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', notdexE)).
% 1.86/0.59 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', notdallE)).
% 1.86/0.59 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', inCongP)).
% 1.86/0.59 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', in__Cong)).
% 1.86/0.59 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', emptyset__Cong)).
% 1.86/0.59 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setadjoin__Cong)).
% 1.86/0.59 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', powerset__Cong)).
% 1.86/0.59 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setunion__Cong)).
% 1.86/0.59 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', omega__Cong)).
% 1.86/0.59 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subsetI1)).
% 1.86/0.59 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', eqimpsubset2)).
% 1.86/0.59 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', eqimpsubset1)).
% 1.86/0.59 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subsetI2)).
% 1.86/0.59 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', emptysetsubset)).
% 1.86/0.59 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subsetE)).
% 1.86/0.59 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subsetE2)).
% 1.86/0.59 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', notsubsetI)).
% 1.86/0.59 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', notequalI1)).
% 1.86/0.59 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', notequalI2)).
% 1.86/0.59 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subsetRefl)).
% 1.86/0.59 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subsetTrans)).
% 1.86/0.59 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setadjoinSub)).
% 1.86/0.59 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setadjoinSub2)).
% 1.86/0.59 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subset2powerset)).
% 1.86/0.59 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setextsub)).
% 1.86/0.59 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subsetemptysetimpeq)).
% 1.86/0.59 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', powersetI1)).
% 1.86/0.59 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', powersetE1)).
% 1.86/0.59 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', inPowerset)).
% 1.86/0.59 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', powersetsubset)).
% 1.86/0.59 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionIL)).
% 1.86/0.59 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', upairset2IR)).
% 1.86/0.59 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionIR)).
% 1.86/0.59 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionEcases)).
% 1.86/0.59 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionE)).
% 1.86/0.59 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionLsub)).
% 1.86/0.59 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionRsub)).
% 1.86/0.59 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectI)).
% 1.86/0.59 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectSubset5)).
% 1.86/0.59 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectEL)).
% 1.86/0.59 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectLsub)).
% 1.86/0.59 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectSubset2)).
% 1.86/0.59 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectSubset3)).
% 1.86/0.59 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectER)).
% 1.86/0.59 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', disjointsetsI1)).
% 1.86/0.59 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectRsub)).
% 1.86/0.59 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectSubset4)).
% 1.86/0.59 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectSubset1)).
% 1.86/0.59 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', bs114d)).
% 1.86/0.59 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusI)).
% 1.86/0.59 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusEL)).
% 1.86/0.59 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusER)).
% 1.86/0.59 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusSubset2)).
% 1.86/0.59 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusERneg)).
% 1.86/0.59 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusELneg)).
% 1.86/0.59 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusILneg)).
% 1.86/0.59 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusIRneg)).
% 1.86/0.59 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusLsub)).
% 1.86/0.59 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusSubset1)).
% 1.86/0.59 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', symdiffE)).
% 1.86/0.59 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', symdiffI1)).
% 1.86/0.59 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', symdiffI2)).
% 1.86/0.59 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', symdiffIneg1)).
% 1.86/0.59 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', symdiffIneg2)).
% 1.86/0.59 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', secondinupair)).
% 1.86/0.59 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setukpairIL)).
% 1.86/0.59 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setukpairIR)).
% 1.86/0.59 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', kpairiskpair)).
% 1.86/0.59 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', kpairp)).
% 1.86/0.59 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', singletonsubset)).
% 1.86/0.59 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', singletoninpowerset)).
% 1.86/0.59 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', singletoninpowunion)).
% 1.86/0.59 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', upairset2E)).
% 1.86/0.59 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', upairsubunion)).
% 1.86/0.59 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', upairinpowunion)).
% 1.86/0.59 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ubforcartprodlem1)).
% 1.86/0.59 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ubforcartprodlem2)).
% 1.86/0.59 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ubforcartprodlem3)).
% 1.86/0.59 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodpairin)).
% 1.86/0.59 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodmempair1)).
% 1.86/0.59 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodmempair)).
% 1.86/0.59 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setunionE2)).
% 1.86/0.59 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setunionsingleton1)).
% 1.86/0.59 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setunionsingleton2)).
% 1.86/0.59 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setunionsingleton)).
% 1.86/0.59 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', singletonsuniq)).
% 1.86/0.59 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setukpairinjL1)).
% 1.86/0.59 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', theprop)).
% 1.86/0.59 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', kfstpairEq)).
% 1.86/0.59 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodfstin)).
% 1.86/0.59 thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setukpairinjL2)).
% 1.86/0.59 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setukpairinjL)).
% 1.86/0.59 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setukpairinjR11)).
% 1.86/0.59 thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setukpairinjR12)).
% 1.86/0.59 thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setukpairinjR1)).
% 1.86/0.59 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', upairequniteq)).
% 1.86/0.59 thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setukpairinjR2)).
% 1.86/0.59 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setukpairinjR)).
% 1.86/0.59 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ksndpairEq)).
% 1.86/0.59 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', kpairsurjEq)).
% 1.86/0.59 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodsndin)).
% 1.86/0.59 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodpairmemEL)).
% 1.86/0.59 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodpairmemER)).
% 1.86/0.59 thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodmempaircEq)).
% 1.86/0.59 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodfstpairEq)).
% 1.86/0.59 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodsndpairEq)).
% 1.86/0.59 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', cartprodpairsurjEq)).
% 1.86/0.59 thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', app)).
% 1.86/0.59 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', infuncsetfunc)).
% 1.86/0.59 thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ap2p)).
% 1.86/0.59 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', funcinfuncset)).
% 1.86/0.59 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/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', brelnall1)).
% 1.86/0.59 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/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', brelnall2)).
% 1.86/0.59 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', funcGraphProp1)).
% 1.86/0.59 thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', funcGraphProp3)).
% 1.86/0.59 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', funcGraphProp2)).
% 1.86/0.59 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', funcextLem)).
% 1.86/0.59 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', funcGraphProp4)).
% 1.86/0.59 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subbreln)).
% 1.86/0.59 thf(eqbreln, axiom, ((eqbreln)<=>![X4:$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:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', eqbreln)).
% 1.86/0.59 thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', funcext)).
% 1.86/0.59 thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', funcext2)).
% 1.86/0.59 thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ap2apEq1)).
% 1.86/0.59 thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ap2apEq2)).
% 1.86/0.59 thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', ifp)).
% 1.86/0.59 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', theeq)).
% 1.86/0.59 thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', iftrue)).
% 1.86/0.59 thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', iffalse)).
% 1.86/0.59 thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', iftrueorfalse)).
% 1.86/0.59 thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectT_lem)).
% 1.86/0.59 thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionT_lem)).
% 1.86/0.59 thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', powersetT_lem)).
% 1.86/0.59 thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setminusT_lem)).
% 1.86/0.59 thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', complementT_lem)).
% 1.86/0.59 thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', setextT)).
% 1.86/0.59 thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subsetTI)).
% 1.86/0.59 thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', powersetTI1)).
% 1.86/0.59 thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', powersetTE1)).
% 1.86/0.59 thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', complementTI1)).
% 1.86/0.59 thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', complementTE1)).
% 1.86/0.59 thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectTELcontra)).
% 1.86/0.59 thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binintersectTERcontra)).
% 1.86/0.59 thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', contrasubsetT)).
% 1.86/0.59 thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', contrasubsetT1)).
% 1.86/0.59 thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', contrasubsetT2)).
% 1.86/0.59 thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', contrasubsetT3)).
% 1.86/0.59 thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', doubleComplementI1)).
% 1.86/0.59 thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', doubleComplementE1)).
% 1.86/0.59 thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', doubleComplementSub1)).
% 1.86/0.59 thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', doubleComplementSub2)).
% 1.86/0.59 thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', doubleComplementEq)).
% 1.86/0.59 thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', complementTnotintersectT)).
% 1.86/0.59 thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', complementImpComplementIntersect)).
% 1.86/0.59 thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', complementSubsetComplementIntersect)).
% 1.86/0.59 thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', complementInPowersetComplementIntersect)).
% 1.86/0.59 thf(contraSubsetComplement, axiom, ((contraSubsetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ (setminus @ X4 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', contraSubsetComplement)).
% 1.86/0.59 thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', complementTcontraSubset)).
% 1.86/0.59 thf(binunionTILcontra, axiom, ((binunionTILcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionTILcontra)).
% 1.86/0.59 thf(binunionTIRcontra, axiom, ((binunionTIRcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionTIRcontra)).
% 1.86/0.59 thf(inIntersectImpInUnion, axiom, ((inIntersectImpInUnion)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X21 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', inIntersectImpInUnion)).
% 1.86/0.59 thf(inIntersectImpInUnion2, axiom, ((inIntersectImpInUnion2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X48 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', inIntersectImpInUnion2)).
% 1.86/0.59 thf(inIntersectImpInIntersectUnions, axiom, ((inIntersectImpInIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', inIntersectImpInIntersectUnions)).
% 1.86/0.59 thf(intersectInPowersetIntersectUnions, axiom, ((intersectInPowersetIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', intersectInPowersetIntersectUnions)).
% 1.86/0.59 thf(inComplementUnionImpNotIn1, axiom, ((inComplementUnionImpNotIn1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', inComplementUnionImpNotIn1)).
% 1.86/0.59 thf(inComplementUnionImpInComplement1, axiom, ((inComplementUnionImpInComplement1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', inComplementUnionImpInComplement1)).
% 1.86/0.59 thf(binunionTE, axiom, ((binunionTE)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X50:$o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ X21 @ X48))=>(((in @ X2 @ X21)=>(X50))=>(((in @ X2 @ X48)=>(X50))=>(X50))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionTE)).
% 1.86/0.59 thf(binunionTEcontra, axiom, ((binunionTEcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', binunionTEcontra)).
% 1.86/0.59 thf(demorgan2a1, axiom, ((demorgan2a1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', demorgan2a1)).
% 1.86/0.59 thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', complementUnionInPowersetComplement)).
% 1.86/0.59 thf(demorgan2a2, axiom, ((demorgan2a2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', demorgan2a2)).
% 1.86/0.59 thf(demorgan1a, axiom, ((demorgan1a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48)))=>(in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', demorgan1a)).
% 1.86/0.59 thf(demorgan1b, axiom, ((demorgan1b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', demorgan1b)).
% 1.86/0.59 thf(demorgan1, axiom, ((demorgan1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ X21 @ X48))=(binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', demorgan1)).
% 1.86/0.59 thf(demorgan2a, axiom, ((demorgan2a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', demorgan2a)).
% 1.86/0.59 thf(demorgan2b2, axiom, ((demorgan2b2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>((in @ X2 @ (setminus @ X4 @ X48))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', demorgan2b2)).
% 1.86/0.59 thf(demorgan2b, axiom, ((demorgan2b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', demorgan2b)).
% 1.86/0.59 thf(demorgan2, axiom, ((demorgan2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binunion @ X21 @ X48))=(binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', demorgan2)).
% 1.86/0.59 thf(woz13rule0, axiom, ((woz13rule0)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ X4)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz13rule0)).
% 1.86/0.59 thf(woz13rule1, axiom, ((woz13rule1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz13rule1)).
% 1.86/0.59 thf(woz13rule2, axiom, ((woz13rule2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X48 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz13rule2)).
% 1.86/0.59 thf(woz13rule3, axiom, ((woz13rule3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz13rule3)).
% 1.86/0.59 thf(woz13rule4, axiom, ((woz13rule4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((subset @ X21 @ X49)=>((subset @ X48 @ X51)=>(subset @ (binintersect @ X21 @ X48) @ (binintersect @ X49 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz13rule4)).
% 1.86/0.59 thf(woz1_1, axiom, ((woz1_1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz1_1)).
% 1.86/0.59 thf(woz1_2, axiom, ((woz1_2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ (binunion @ X21 @ X48) @ (binunion @ X49 @ X51)))=(binunion @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)) @ (binintersect @ (setminus @ X4 @ X49) @ (setminus @ X4 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz1_2)).
% 1.86/0.59 thf(woz1_3, axiom, ((woz1_3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz1_3)).
% 1.86/0.59 thf(woz1_4, axiom, ((woz1_4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz1_4)).
% 1.86/0.59 thf(woz1_5, axiom, ((woz1_5)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz1_5)).
% 1.86/0.59 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/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1all2)).
% 1.86/0.59 thf(breln1SetBreln1, axiom, ((breln1SetBreln1)<=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1SetBreln1)).
% 1.86/0.59 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/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1all1)).
% 1.86/0.59 thf(subbreln1, axiom, ((subbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', subbreln1)).
% 1.86/0.59 thf(eqbreln1, axiom, ((eqbreln1)<=>![X4:$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/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', eqbreln1)).
% 1.86/0.59 thf(breln1invprop, axiom, ((breln1invprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>(breln1 @ X4 @ (breln1invset @ X4 @ X33))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1invprop)).
% 1.86/0.59 thf(breln1invI, axiom, ((breln1invI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1invI)).
% 1.86/0.59 thf(breln1invE, axiom, ((breln1invE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33))=>(in @ (kpair @ X2 @ X3) @ X33))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1invE)).
% 1.86/0.59 thf(breln1compprop, axiom, ((breln1compprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (breln1compset @ X4 @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1compprop)).
% 1.86/0.59 thf(breln1compI, axiom, ((breln1compI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1compI)).
% 1.86/0.59 thf(breln1compE, axiom, ((breln1compE)<=>![X4:$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) @ (breln1compset @ X4 @ X33 @ X35))=>?[X14:$i]:((((in @ X14 @ X4)&(in @ (kpair @ X2 @ X14) @ X33))&(in @ (kpair @ X14 @ X3) @ X35))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1compE)).
% 1.86/0.59 thf(breln1compEex, axiom, ((breln1compEex)<=>![X4:$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) @ (breln1compset @ X4 @ X33 @ X35))=>![X54:$o]:((![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(X54)))))=>(X54))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1compEex)).
% 1.86/0.59 thf(breln1unionprop, axiom, ((breln1unionprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (binunion @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1unionprop)).
% 1.86/0.59 thf(breln1unionIL, axiom, ((breln1unionIL)<=>![X4:$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) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1unionIL)).
% 1.86/0.59 thf(breln1unionIR, axiom, ((breln1unionIR)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1unionIR)).
% 1.86/0.59 thf(breln1unionI, axiom, ((breln1unionI)<=>![X4:$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))=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1unionI)).
% 1.86/0.59 thf(breln1unionE, axiom, ((breln1unionE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))=>((in @ (kpair @ X2 @ X3) @ X33)|(in @ (kpair @ X2 @ X3) @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1unionE)).
% 1.86/0.59 thf(breln1unionEcases, axiom, ((breln1unionEcases)<=>![X4:$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) @ (binunion @ X33 @ X35))=>![X55:$o]:((((in @ (kpair @ X2 @ X3) @ X33)=>(X55))=>(((in @ (kpair @ X2 @ X3) @ X35)=>(X55))=>(X55)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1unionEcases)).
% 1.86/0.59 thf(breln1unionCommutes, axiom, ((breln1unionCommutes)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>((binunion @ X33 @ X35)=(binunion @ X35 @ X33))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', breln1unionCommutes)).
% 1.86/0.59 thf(woz2Ex, axiom, ((woz2Ex)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>((X33)=(breln1invset @ X4 @ (breln1invset @ X4 @ X33)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz2Ex)).
% 1.86/0.59 thf(woz2W, axiom, ((woz2W)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>((breln1invset @ X4 @ (breln1compset @ X4 @ X33 @ X35))=(breln1compset @ X4 @ (breln1invset @ X4 @ X35) @ (breln1invset @ X4 @ X33)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz2W)).
% 1.86/0.59 thf(woz2A, axiom, ((woz2A)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X56:$i]:(((breln1 @ X4 @ X56)=>((breln1compset @ X4 @ (binunion @ X33 @ X35) @ X56)=(binunion @ (breln1compset @ X4 @ X33 @ X56) @ (breln1compset @ X4 @ X35 @ X56)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz2A)).
% 1.86/0.59 thf(woz2B, axiom, ((woz2B)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X56:$i]:(((breln1 @ X4 @ X56)=>((breln1compset @ X4 @ (binunion @ X33 @ X35) @ X56)=(binunion @ (breln1invset @ X4 @ (breln1compset @ X4 @ (breln1invset @ X4 @ X56) @ (breln1invset @ X4 @ X35))) @ (breln1invset @ X4 @ (breln1compset @ X4 @ (breln1invset @ X4 @ X56) @ (breln1invset @ X4 @ X33)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', woz2B)).
% 1.86/0.59 thf(image1Ex, axiom, ((image1Ex)<=>![X4:$i, X57:$i > $i]:(?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X57 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', image1Ex)).
% 1.86/0.59 thf(injFuncInInjFuncSet, axiom, ((injFuncInInjFuncSet)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((injective @ X4 @ X5 @ X29)=>(in @ X29 @ (injFuncSet @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', injFuncInInjFuncSet)).
% 1.86/0.59 thf(injFuncSetFuncIn, axiom, ((injFuncSetFuncIn)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (injFuncSet @ X4 @ X5))=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', injFuncSetFuncIn)).
% 1.86/0.59 thf(injFuncSetFuncInj, axiom, ((injFuncSetFuncInj)<=>![X2:$i, X3:$i, X29:$i]:(((in @ X29 @ (injFuncSet @ X2 @ X3))=>(injective @ X2 @ X3 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', injFuncSetFuncInj)).
% 1.86/0.59 thf(surjFuncSetFuncIn, axiom, ((surjFuncSetFuncIn)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (surjFuncSet @ X4 @ X5))=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', surjFuncSetFuncIn)).
% 1.86/0.59 thf(surjFuncSetFuncSurj, axiom, ((surjFuncSetFuncSurj)<=>![X2:$i, X3:$i, X29:$i]:(((in @ X29 @ (surjFuncSet @ X2 @ X3))=>(surjective @ X2 @ X3 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', surjFuncSetFuncSurj)).
% 1.86/0.59 thf(leftInvIsSurj, axiom, ((leftInvIsSurj)<=>![X4:$i, X5:$i, X62:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X62 @ X2) @ X5)))=>![X34:$i]:(((in @ X34 @ (funcSet @ X5 @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X5 @ X4 @ X34 @ (X62 @ X2))=(X2))))=>(surjective @ X5 @ X4 @ X34))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', leftInvIsSurj)).
% 1.86/0.59 thf(surjCantorThm, axiom, ((surjCantorThm)<=>![X4:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ (powerset @ X4)))=>~((surjective @ X4 @ (powerset @ X4) @ X29))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', surjCantorThm)).
% 1.86/0.59 thf(notinself, axiom, ((notinself)<=>![X4:$i]:(~((in @ X4 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', notinself)).
% 1.86/0.59 thf(notinself2, axiom, ((notinself2)<=>![X4:$i, X5:$i]:(((in @ X4 @ X5)=>~((in @ X5 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', notinself2)).
% 1.86/0.59 thf(omegaSp, axiom, ((omegaSp)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (omegaS @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', omegaSp)).
% 1.86/0.59 thf(omegaSclos, axiom, ((omegaSclos)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', omegaSclos)).
% 1.86/0.59 thf(peano0notS, axiom, ((peano0notS)<=>![X2:$i]:(((in @ X2 @ omega)=>((omegaS @ X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', peano0notS)).
% 1.86/0.59 thf(peanoSinj, axiom, ((peanoSinj)<=>![X2:$i]:(((in @ X2 @ omega)=>![X3:$i]:(((in @ X3 @ omega)=>(((omegaS @ X2)=(omegaS @ X3))=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.fgZjPapQuh/E---3.1_2202811.p', peanoSinj)).
% 1.86/0.59 thf(c_0_333, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 1.86/0.59 thf(c_0_334, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 1.86/0.59 thf(c_0_335, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 1.86/0.59 thf(c_0_336, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 1.86/0.59 thf(c_0_337, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 1.86/0.59 thf(c_0_338, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 1.86/0.59 thf(c_0_339, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 1.86/0.59 thf(c_0_340, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 1.86/0.59 thf(c_0_341, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 1.86/0.59 thf(c_0_342, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 1.86/0.59 thf(c_0_343, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 1.86/0.59 thf(c_0_344, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 1.86/0.59 thf(c_0_345, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 1.86/0.59 thf(c_0_346, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 1.86/0.59 thf(c_0_347, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 1.86/0.59 thf(c_0_348, plain, ((image1Ex1)<=>![X4:$i, X58:$i > $i]:((exu @ (^[Z0:$i]:(![X2:$i]:((((in @ X2 @ Z0))<=>(?[X3:$i]:((((in @ X3 @ X4))&(((X2)=(X58 @ X3))))))))))))), inference(fof_simplification,[status(thm)],[image1Ex1])).
% 1.86/0.59 thf(c_0_349, plain, ((transitiveset)=(^[Z0:$i]:(![X21:$i]:((((in @ X21 @ Z0))=>((subset @ X21 @ Z0))))))), inference(fof_simplification,[status(thm)],[transitiveset])).
% 1.86/0.59 thf(c_0_350, 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)=>((breln1invprop)=>((breln1invI)=>((breln1invE)=>((breln1compprop)=>((breln1compI)=>((breln1compE)=>((breln1compEex)=>((breln1unionprop)=>((breln1unionIL)=>((breln1unionIR)=>((breln1unionI)=>((breln1unionE)=>((breln1unionEcases)=>((breln1unionCommutes)=>((woz2Ex)=>((woz2W)=>((woz2A)=>((woz2B)=>((image1Ex)=>((image1Ex1)=>((image1Equiv)=>((image1E)=>((image1I)=>((injFuncInInjFuncSet)=>((injFuncSetFuncIn)=>((injFuncSetFuncInj)=>((surjFuncSetFuncIn)=>((surjFuncSetFuncSurj)=>((leftInvIsSurj)=>((surjCantorThm)=>((foundation2)=>((notinself)=>((notinself2)=>((omegaSp)=>((omegaSclos)=>((peano0notS)=>((peanoSinj)=>((transitivesetOp1)=>![X21:$i]:(((transitiveset @ X21)=>![X48:$i]:(((transitiveset @ X48)=>(transitiveset @ (binintersect @ X21 @ X48)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[binintTransitive])).
% 1.86/0.59 thf(c_0_351, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X1138:$i]:(((((X6 @ X2 @ X1138)))&(![X1139:$i]:(((((X6 @ X2 @ X1139)))=>(((X1138)=(X1139)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_333, c_0_334])).
% 1.86/0.59 thf(c_0_352, plain, ((descrp)=(![X1:$i > $o]:((((?[X1140:$i]:(((((X1 @ X1140)))&(![X1141:$i]:(((((X1 @ X1141)))=>(((X1140)=(X1141))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_335, c_0_334])).
% 1.86/0.59 thf(c_0_353, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 1.86/0.59 thf(c_0_354, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 1.86/0.59 thf(c_0_355, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 1.86/0.59 thf(c_0_356, plain, ((exuE1)=(![X1:$i > $o]:((((?[X1142:$i]:(((((X1 @ X1142)))&(![X1143:$i]:(((((X1 @ X1143)))=>(((X1142)=(X1143))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_336, c_0_334])).
% 1.86/0.59 thf(c_0_357, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X1144:$i]:(((((X1 @ X1144)))&(![X1145:$i]:(((((X1 @ X1145)))=>(((X1144)=(X1145))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_337, c_0_334])).
% 1.86/0.59 thf(c_0_358, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 1.86/0.59 thf(c_0_359, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_338])).
% 1.86/0.59 thf(c_0_360, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_339, c_0_338])).
% 1.86/0.59 thf(c_0_361, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_338])).
% 1.86/0.59 thf(c_0_362, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 1.86/0.59 thf(c_0_363, plain, ((exuE2)=(![X1:$i > $o]:((((?[X1146:$i]:(((((X1 @ X1146)))&(![X1147:$i]:(((((X1 @ X1147)))=>(((X1146)=(X1147))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_340, c_0_334])).
% 1.86/0.59 thf(c_0_364, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_338])).
% 1.86/0.59 thf(c_0_365, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 1.86/0.59 thf(c_0_366, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X1148:$i]:(((((X1 @ X1148)))&(![X1149:$i]:(((((X1 @ X1149)))=>(((X1148)=(X1149)))))))))))))), inference(apply_def,[status(thm)],[c_0_341, c_0_334])).
% 1.86/0.59 thf(c_0_367, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X1150:$i]:(((((X1 @ X1150)))&(![X1151:$i]:(((((X1 @ X1151)))=>(((X1150)=(X1151)))))))))))))))), inference(apply_def,[status(thm)],[c_0_342, c_0_334])).
% 1.86/0.59 thf(c_0_368, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X1152:$i]:(((((X1 @ X1152)))&(![X1153:$i]:(((((X1 @ X1153)))=>(((X1152)=(X1153)))))))))))))), inference(apply_def,[status(thm)],[c_0_343, c_0_334])).
% 1.86/0.59 thf(c_0_369, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X1154:$i]:(((((X1 @ X1154)))&(![X1155:$i]:(((((X1 @ X1155)))=>(((X1154)=(X1155))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_344, c_0_334])).
% 1.86/0.59 thf(c_0_370, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X1156:$i]:(((((X1 @ X1156)))&(![X1157:$i]:(((((X1 @ X1157)))=>(((X1156)=(X1157))))))))))<=>((?[X1158:$i]:(((((X17 @ X1158)))&(![X1159:$i]:(((((X17 @ X1159)))=>(((X1158)=(X1159)))))))))))))))), inference(apply_def,[status(thm)],[c_0_345, c_0_334])).
% 1.86/0.59 thf(c_0_371, plain, ((exuEu)=(![X1:$i > $o]:((((?[X1160:$i]:(((((X1 @ X1160)))&(![X1161:$i]:(((((X1 @ X1161)))=>(((X1160)=(X1161))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_346, c_0_334])).
% 1.86/0.59 thf(c_0_372, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X1162:$i]:(((((X1 @ X1162)))&(![X1163:$i]:(((((X1 @ X1163)))=>(((X1162)=(X1163))))))))))=>((((?[X1164:$i]:(((((X17 @ X1164)))&(![X1165:$i]:(((((X17 @ X1165)))=>(((X1164)=(X1165))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_347, c_0_334])).
% 1.86/0.59 thf(c_0_373, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 1.86/0.59 thf(c_0_374, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 1.86/0.59 thf(c_0_375, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 1.86/0.59 thf(c_0_376, 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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 1.86/0.59 thf(c_0_377, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 1.86/0.59 thf(c_0_378, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
% 1.86/0.59 thf(c_0_379, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 1.86/0.59 thf(c_0_380, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 1.86/0.59 thf(c_0_381, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 1.86/0.59 thf(c_0_382, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 1.86/0.59 thf(c_0_383, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 1.86/0.59 thf(c_0_384, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 1.86/0.59 thf(c_0_385, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 1.86/0.59 thf(c_0_386, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 1.86/0.59 thf(c_0_387, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 1.86/0.59 thf(c_0_388, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 1.86/0.59 thf(c_0_389, plain, ((funcImageSingleton)<=>![X4:$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])).
% 1.86/0.59 thf(c_0_390, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
% 1.86/0.59 thf(c_0_391, plain, ((lamProp)<=>![X4:$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])).
% 1.86/0.59 thf(c_0_392, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
% 1.86/0.59 thf(c_0_393, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
% 1.86/0.59 thf(c_0_394, plain, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[ex1E2])).
% 1.86/0.59 thf(c_0_395, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])).
% 1.86/0.59 thf(c_0_396, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
% 1.86/0.59 thf(c_0_397, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])).
% 1.86/0.59 thf(c_0_398, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])).
% 1.86/0.59 thf(c_0_399, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
% 1.86/0.59 thf(c_0_400, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X39))&(((Z0)=(X2)))))|(((~((X39)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
% 1.86/0.59 thf(c_0_401, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X40))&(((Z0)=(X2)))))|(((~((X40)))&(((Z0)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
% 1.86/0.59 thf(c_0_402, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X41))&(((Z0)=(X2)))))|(((~((X41)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
% 1.86/0.59 thf(c_0_403, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X42))&(((Z0)=(X2)))))|(((~((X42)))&(((Z0)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
% 1.86/0.59 thf(c_0_404, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X43))&(((Z0)=(X2)))))|(((~((X43)))&(((Z0)=(X3))))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
% 1.86/0.59 thf(c_0_405, plain, ((choice2fnsingleton)<=>![X4:$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:$i]:((((in @ X14 @ X5))=>((((X52 @ X2 @ X14))=>((in @ (kpair @ Z0 @ X14) @ X33)))))))))))))))))))), inference(fof_simplification,[status(thm)],[choice2fnsingleton])).
% 1.86/0.59 thf(c_0_406, plain, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[Z0:$i, Z1:$i]:((X53 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln1])).
% 1.86/0.59 thf(c_0_407, plain, ((image1Ex1)=(![X4:$i, X58:$i > $i]:((?[X1166:$i]:((((![X2:$i]:((((in @ X2 @ X1166))<=>(?[X3:$i]:((((in @ X3 @ X4))&(((X2)=(X58 @ X3))))))))))&(![X1167:$i]:((((![X2:$i]:((((in @ X2 @ X1167))<=>(?[X3:$i]:((((in @ X3 @ X4))&(((X2)=(X58 @ X3))))))))))=>(((X1166)=(X1167)))))))))))), inference(apply_def,[status(thm)],[c_0_348, c_0_334])).
% 1.86/0.59 thf(c_0_408, plain, ((image1Equiv)<=>![X4:$i, X59:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[Z0:$i]:(X59 @ Z0))))<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X59 @ X3))))))), inference(fof_simplification,[status(thm)],[image1Equiv])).
% 1.86/0.59 thf(c_0_409, plain, ((image1E)<=>![X4:$i, X60:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[Z0:$i]:(X60 @ Z0))))=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X60 @ X3))))))), inference(fof_simplification,[status(thm)],[image1E])).
% 1.86/0.59 thf(c_0_410, plain, ((image1I)<=>![X4:$i, X61:$i > $i, X2:$i]:((?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X61 @ X3))))=>(in @ X2 @ (image1 @ X4 @ (^[Z0:$i]:(X61 @ Z0))))))), inference(fof_simplification,[status(thm)],[image1I])).
% 1.86/0.59 thf(c_0_411, axiom, ((foundation2)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X21:$i]:((((in @ X21 @ X4))&(((binintersect @ X21 @ X4)=(emptyset)))))))))), inference(apply_def,[status(thm)],[foundation2, c_0_338])).
% 1.86/0.59 thf(c_0_412, axiom, ((transitivesetOp1)=(![X21:$i]:((((![X1168:$i]:((((in @ X1168 @ X21))=>((subset @ X1168 @ X21))))))=>(![X4:$i]:((((in @ X4 @ X21))=>((subset @ X4 @ X21))))))))), inference(apply_def,[status(thm)],[transitivesetOp1, c_0_349])).
% 1.86/0.59 thf(c_0_413, plain, ((epred1_0)<=>![X1198:$i]:(?[X1199:$i]:((((![X1200:$i]:(((in @ X1200 @ X1199)=>![X1201:$i]:(((in @ X1201 @ X1200)=>(in @ X1201 @ X1198)))))&![X1202:$i, X1203:$i]:((((in @ X1202 @ X1198)&(in @ X1203 @ X1198))=>(![X1204:$i]:(((in @ X1204 @ X1199)=>((in @ X1202 @ X1204)<=>(in @ X1203 @ X1204))))=>((X1202)=(X1203))))))&![X1205:$i, X1206:$i]:((((in @ X1205 @ X1199)&(in @ X1206 @ X1199))=>(![X1207:$i]:(((in @ X1207 @ X1205)=>(in @ X1207 @ X1206)))|![X1208:$i]:(((in @ X1208 @ X1206)=>(in @ X1208 @ X1205)))))))&![X1209:$i]:(((![X1210:$i]:(((in @ X1210 @ X1209)=>(in @ X1210 @ X1198)))&?[X1211:$i]:((in @ X1211 @ X1209)))=>?[X1212:$i, X1213:$i]:(((((in @ X1212 @ X1199)&(in @ X1213 @ X1209))&~(?[X1214:$i]:(((in @ X1214 @ X1212)&(in @ X1214 @ X1209)))))&![X1215:$i]:(((in @ X1215 @ X1199)=>(![X1216:$i]:(((in @ X1216 @ X1215)=>(in @ X1216 @ X1212)))|(in @ X1213 @ X1215)))))))))))), introduced(definition)).
% 1.86/0.59 thf(c_0_414, negated_conjecture, ~((![X1169:$i, X1170:$i]:((![X1171:$i]:(((in @ X1171 @ X1169)<=>(in @ X1171 @ X1170)))=>((X1169)=(X1170))))=>(![X1172:$i]:(~(in @ X1172 @ emptyset))=>(![X1173:$i, X1174:$i, X1175:$i]:(((in @ X1175 @ (setadjoin @ X1173 @ X1174))<=>(((X1175)=(X1173))|(in @ X1175 @ X1174))))=>(![X1176:$i, X1177:$i]:(((in @ X1177 @ (powerset @ X1176))<=>![X1178:$i]:(((in @ X1178 @ X1177)=>(in @ X1178 @ X1176)))))=>(![X1179:$i, X1180:$i]:(((in @ X1180 @ (setunion @ X1179))<=>?[X1181:$i]:(((in @ X1180 @ X1181)&(in @ X1181 @ X1179)))))=>((in @ emptyset @ omega)=>(![X1182:$i]:(((in @ X1182 @ omega)=>(in @ (setadjoin @ X1182 @ X1182) @ omega)))=>(![X1183:$i]:((((in @ emptyset @ X1183)&![X1184:$i]:((((in @ X1184 @ omega)&(in @ X1184 @ X1183))=>(in @ (setadjoin @ X1184 @ X1184) @ X1183))))=>![X1185:$i]:(((in @ X1185 @ omega)=>(in @ X1185 @ X1183)))))=>(![X1186:$i > $i > $o, X1187:$i]:((![X1188:$i]:(((in @ X1188 @ X1187)=>?[X1189:$i]:(((X1186 @ X1188 @ X1189)&![X1190:$i]:(((X1186 @ X1188 @ X1190)=>((X1189)=(X1190))))))))=>?[X1191:$i]:(![X1192:$i]:(((in @ X1192 @ X1191)<=>?[X1193:$i]:(((in @ X1193 @ X1187)&(X1186 @ X1193 @ X1192))))))))=>(![X1194:$i]:((?[X1195:$i]:((in @ X1195 @ X1194))=>?[X1196:$i]:(((in @ X1196 @ X1194)&~(?[X1197:$i]:(((in @ X1197 @ X1196)&(in @ X1197 @ X1194))))))))=>((epred1_0)=>(![X1217:$i > $o]:((?[X1218:$i]:(((X1217 @ X1218)&![X1219:$i]:(((X1217 @ X1219)=>((X1218)=(X1219))))))=>(X1217 @ (descr @ (^[Z0:$i]:(X1217 @ Z0))))))=>(![X1220:$i, X1221:$i > $o, X1222:$i]:(((in @ X1222 @ X1220)=>((X1221 @ X1222)=>(in @ X1222 @ (dsetconstr @ X1220 @ X1221)))))=>(![X1223:$i, X1224:$i > $o, X1225:$i]:(((in @ X1225 @ (dsetconstr @ X1223 @ X1224))=>(in @ X1225 @ X1223)))=>(![X1226:$i, X1227:$i > $o, X1228:$i]:(((in @ X1228 @ (dsetconstr @ X1226 @ X1227))=>(X1227 @ X1228)))=>(![X1229:$i > $o]:((?[X1230:$i]:(((X1229 @ X1230)&![X1231:$i]:(((X1229 @ X1231)=>((X1230)=(X1231))))))=>?[X1232:$i]:(((X1229 @ X1232)&![X1233:$i]:(((X1229 @ X1233)=>((X1232)=(X1233))))))))=>(![X1234:$o, X1235:$i]:(((in @ X1235 @ (prop2set @ ((X1234))))=>(X1234)))=>(![X1236:$i]:(((in @ X1236 @ emptyset)=>![X1237:$o]:((X1237))))=>(![X1238:$i]:(((in @ X1238 @ emptyset)=>~($true)))=>(![X1239:$i]:(~(in @ X1239 @ emptyset))=>(![X1240:$i > $o]:((?[X1241:$i]:(((X1240 @ X1241)&![X1242:$i]:(((X1240 @ X1242)=>((X1241)=(X1242))))))=>?[X1243:$i]:((X1240 @ X1243))))=>(![X1244:$i, X1245:$i]:((![X1246:$i]:(((in @ X1246 @ X1244)=>(in @ X1246 @ X1245)))=>(![X1247:$i]:(((in @ X1247 @ X1245)=>(in @ X1247 @ X1244)))=>((X1244)=(X1245)))))=>(![X1248:$i]:((![X1249:$i]:(~(in @ X1249 @ X1248))=>((X1248)=(emptyset))))=>(![X1250:$i]:((![X1251:$i]:(~(in @ X1251 @ X1250))=>((X1250)=(emptyset))))=>(![X1252:$i, X1253:$i > $o, X1254:$i]:(((in @ X1254 @ X1252)=>((in @ X1254 @ (dsetconstr @ X1252 @ X1253))<=>(X1253 @ X1254))))=>(![X1255:$i]:((((X1255)!=(emptyset))=>?[X1256:$i]:((in @ X1256 @ X1255))))=>(![X1257:$i, X1258:$i > $o, X1259:$i]:(((in @ X1259 @ X1257)=>((X1258 @ X1259)=>((dsetconstr @ X1257 @ X1258)!=(emptyset)))))=>(![X1260:$i]:((?[X1261:$i]:((in @ X1261 @ X1260))=>((X1260)!=(emptyset))))=>(![X1262:$i, X1263:$i]:((in @ X1262 @ (setadjoin @ X1262 @ X1263)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1264:$i, X1265:$i, X1266:$i]:(((in @ X1266 @ X1265)=>(in @ X1266 @ (setadjoin @ X1264 @ X1265))))=>(![X1267:$i, X1268:$i, X1269:$i]:(((in @ X1269 @ (setadjoin @ X1267 @ X1268))=>![X1270:$o]:(((((X1269)=(X1267))=>(X1270))=>(((in @ X1269 @ X1268)=>(X1270))=>(X1270))))))=>(![X1271:$i, X1272:$i, X1273:$i]:(((in @ X1273 @ (setadjoin @ X1271 @ X1272))=>(((X1273)=(X1271))|(in @ X1273 @ X1272))))=>(![X1274:$i]:(((dsetconstr @ X1274 @ (^[Z0:$i]:($true)))=(X1274)))=>(![X1275:$i, X1276:$i]:((![X1277:$i]:(((in @ X1277 @ X1276)=>(in @ X1277 @ X1275)))=>(in @ X1276 @ (powerset @ X1275))))=>(![X1278:$i]:((in @ emptyset @ (powerset @ X1278)))=>(![X1279:$i]:((in @ emptyset @ (powerset @ X1279)))=>(![X1280:$i, X1281:$i, X1282:$i]:(((in @ X1281 @ (powerset @ X1280))=>((in @ X1282 @ X1281)=>(in @ X1282 @ X1280))))=>(![X1283:$i, X1284:$i, X1285:$i]:(((in @ X1284 @ X1285)=>((in @ X1285 @ X1283)=>(in @ X1284 @ (setunion @ X1283)))))=>(![X1286:$i, X1287:$i]:(((in @ X1287 @ (setunion @ X1286))=>![X1288:$o]:((![X1289:$i]:(((in @ X1287 @ X1289)=>((in @ X1289 @ X1286)=>(X1288))))=>(X1288)))))=>(![X1290:$i, X1291:$i]:(((in @ X1291 @ X1290)=>(in @ X1291 @ (powerset @ (setunion @ X1290)))))=>(![X1292:$i > $o]:((?[X1293:$i]:(((X1292 @ X1293)&![X1294:$i]:(((X1292 @ X1294)=>((X1293)=(X1294))))))=>?[X1295:$i]:(![X1296:$i]:(((X1292 @ X1296)<=>((X1296)=(X1295)))))))=>(![X1297:$i]:((((X1297)!=(emptyset))=>?[X1298:$i]:(((in @ X1298 @ X1297)&$true))))=>(![X1299:$i, X1300:$i]:(((in @ X1299 @ (setadjoin @ X1300 @ emptyset))=>((X1299)=(X1300))))=>(![X1301:$i, X1302:$i]:((((X1301)!=(X1302))=>~(in @ X1302 @ (setadjoin @ X1301 @ emptyset))))=>(![X1303:$i, X1304:$i]:((((X1303)=(X1304))=>(in @ X1303 @ (setadjoin @ X1304 @ emptyset))))=>(![X1305:$i, X1306:$i]:(((in @ X1305 @ (setadjoin @ X1306 @ emptyset))=>(in @ X1306 @ (setadjoin @ X1305 @ emptyset))))=>(![X1307:$i, X1308:$i, X1309:$i]:(((in @ X1309 @ (setadjoin @ X1307 @ (setadjoin @ X1308 @ emptyset)))=>(((X1309)=(X1307))|((X1309)=(X1308)))))=>(![X1310:$i, X1311:$i]:((in @ X1310 @ (setadjoin @ X1310 @ (setadjoin @ X1311 @ emptyset))))=>(![X1312:$i, X1313:$i]:((in @ X1313 @ (setadjoin @ X1312 @ (setadjoin @ X1313 @ emptyset))))=>(![X1314:$i, X1315:$i > $o]:((?[X1316:$i]:(((in @ X1316 @ X1314)&(X1315 @ X1316)))=>(((dsetconstr @ X1314 @ X1315)=(emptyset))=>~($true))))=>(![X1317:$i > $o, X1318:$i]:(((in @ X1318 @ emptyset)=>(X1317 @ X1318)))=>(![X1319:$i, X1320:$i > $o]:((~(![X1321:$i]:(((in @ X1321 @ X1319)=>(X1320 @ X1321))))=>?[X1322:$i]:(((in @ X1322 @ X1319)&~((X1320 @ X1322))))))=>(![X1323:$i, X1324:$i > $o]:((![X1325:$i]:(((in @ X1325 @ X1323)=>~((X1324 @ X1325))))=>~(?[X1326:$i]:(((in @ X1326 @ X1323)&(X1324 @ X1326))))))=>(![X1327:$i, X1328:$i > $o]:((~(?[X1329:$i]:(((in @ X1329 @ X1327)&(X1328 @ X1329))))=>![X1330:$i]:(((in @ X1330 @ X1327)=>~((X1328 @ X1330))))))=>(![X1331:$i, X1332:$i > $o]:((?[X1333:$i]:(((in @ X1333 @ X1331)&~((X1332 @ X1333))))=>~(![X1334:$i]:(((in @ X1334 @ X1331)=>(X1332 @ X1334))))))=>(![X1335:$o]:(((X1335)=>(in @ emptyset @ (prop2set @ ((X1335))))))=>(![X1336:$o]:(((X1336)=>(set2prop @ (prop2set @ ((X1336))))))=>(![X1337:$i, X1338:$i > $o]:((~(?[X1339:$i]:(((in @ X1339 @ X1337)&(X1338 @ X1339))))=>![X1340:$i]:(((in @ X1340 @ X1337)=>~((X1338 @ X1340))))))=>(![X1341:$i, X1342:$i > $o]:((~(![X1343:$i]:(((in @ X1343 @ X1341)=>(X1342 @ X1343))))=>?[X1344:$i]:(((in @ X1344 @ X1341)&~((X1342 @ X1344))))))=>(![X1345:$i > $o]:((?[X1346:$i]:(((X1345 @ X1346)&![X1347:$i]:(((X1345 @ X1347)=>((X1346)=(X1347))))))=>?[X1348:$i]:(((X1345 @ X1348)&![X1349:$i]:(((X1345 @ X1349)=>((X1348)=(X1349))))))))=>(![X1350:$i > $o]:((?[X1351:$i]:((X1350 @ X1351))=>(![X1352:$i, X1353:$i]:(((X1350 @ X1352)=>((X1350 @ X1353)=>((X1352)=(X1353)))))=>?[X1354:$i]:(((X1350 @ X1354)&![X1355:$i]:(((X1350 @ X1355)=>((X1354)=(X1355)))))))))=>(![X1356:$i > $o]:((?[X1357:$i]:(![X1358:$i]:(((X1356 @ X1358)<=>((X1358)=(X1357)))))=>?[X1359:$i]:(((X1356 @ X1359)&![X1360:$i]:(((X1356 @ X1360)=>((X1359)=(X1360))))))))=>(![X1361:$i, X1362:$i]:((((X1361)=(X1362))=>![X1363:$i, X1364:$i]:((((X1363)=(X1364))=>((in @ X1363 @ X1361)=>(in @ X1364 @ X1362))))))=>(![X1365:$i, X1366:$i]:((((X1365)=(X1366))=>![X1367:$i, X1368:$i]:((((X1367)=(X1368))=>((in @ X1367 @ X1365)<=>(in @ X1368 @ X1366))))))=>(![X1369:$i > $o]:((?[X1370:$i]:(((X1369 @ X1370)&![X1371:$i]:(((X1369 @ X1371)=>((X1370)=(X1371))))))=>![X1372:$i, X1373:$i]:(((X1369 @ X1372)=>((X1369 @ X1373)=>((X1372)=(X1373)))))))=>(![X1374:$i > $o, X1375:$i > $o]:((![X1376:$i, X1377:$i]:((((X1376)=(X1377))=>((X1374 @ X1376)<=>(X1375 @ X1377))))=>(?[X1378:$i]:(((X1374 @ X1378)&![X1379:$i]:(((X1374 @ X1379)=>((X1378)=(X1379))))))<=>?[X1380:$i]:(((X1375 @ X1380)&![X1381:$i]:(((X1375 @ X1381)=>((X1380)=(X1381)))))))))=>(((emptyset)=(emptyset))=>(![X1382:$i, X1383:$i]:((((X1382)=(X1383))=>![X1384:$i, X1385:$i]:((((X1384)=(X1385))=>((setadjoin @ X1382 @ X1384)=(setadjoin @ X1383 @ X1385))))))=>(![X1386:$i, X1387:$i]:((((X1386)=(X1387))=>((powerset @ X1386)=(powerset @ X1387))))=>(![X1388:$i, X1389:$i]:((((X1388)=(X1389))=>((setunion @ X1388)=(setunion @ X1389))))=>(((omega)=(omega))=>(![X1390:$i > $o]:((?[X1391:$i]:(((X1390 @ X1391)&![X1392:$i]:(((X1390 @ X1392)=>((X1391)=(X1392))))))=>![X1393:$i, X1394:$i]:(((X1390 @ X1393)=>((X1390 @ X1394)=>((X1393)=(X1394)))))))=>(![X1395:$i > $o, X1396:$i > $o]:((![X1397:$i, X1398:$i]:((((X1397)=(X1398))=>((X1395 @ X1397)<=>(X1396 @ X1398))))=>(?[X1399:$i]:(((X1395 @ X1399)&![X1400:$i]:(((X1395 @ X1400)=>((X1399)=(X1400))))))=>(?[X1401:$i]:(((X1396 @ X1401)&![X1402:$i]:(((X1396 @ X1402)=>((X1401)=(X1402))))))=>((descr @ X1395)=(descr @ X1396))))))=>(![X1403:$i, X1404:$i]:((((X1403)=(X1404))=>![X1405:$i > $o, X1406:$i > $o]:((![X1407:$i]:(((in @ X1407 @ X1403)=>![X1408:$i]:(((in @ X1408 @ X1404)=>(((X1407)=(X1408))=>((X1405 @ X1407)<=>(X1406 @ X1408)))))))=>((dsetconstr @ X1403 @ X1405)=(dsetconstr @ X1404 @ X1406))))))=>(![X1409:$i, X1410:$i]:((![X1411:$i]:(((in @ X1411 @ X1409)=>(in @ X1411 @ X1410)))=>(subset @ X1409 @ X1410)))=>(![X1412:$i, X1413:$i]:((((X1412)=(X1413))=>(subset @ X1413 @ X1412)))=>(![X1414:$i, X1415:$i]:((((X1414)=(X1415))=>(subset @ X1414 @ X1415)))=>(![X1416:$i, X1417:$i]:((![X1418:$i]:(((in @ X1418 @ X1416)=>(in @ X1418 @ X1417)))=>(subset @ X1416 @ X1417)))=>(![X1419:$i]:((subset @ emptyset @ X1419))=>(![X1420:$i, X1421:$i, X1422:$i]:(((subset @ X1420 @ X1421)=>((in @ X1422 @ X1420)=>(in @ X1422 @ X1421))))=>(![X1423:$i, X1424:$i, X1425:$i]:(((subset @ X1423 @ X1424)=>(~(in @ X1425 @ X1424)=>~(in @ X1425 @ X1423))))=>(![X1426:$i, X1427:$i, X1428:$i]:(((in @ X1428 @ X1426)=>(~(in @ X1428 @ X1427)=>~(subset @ X1426 @ X1427))))=>(![X1429:$i, X1430:$i]:((~(subset @ X1429 @ X1430)=>((X1429)!=(X1430))))=>(![X1431:$i, X1432:$i, X1433:$i]:(((in @ X1433 @ X1431)=>(~(in @ X1433 @ X1432)=>((X1431)!=(X1432)))))=>(![X1434:$i]:((subset @ X1434 @ X1434))=>(![X1435:$i, X1436:$i, X1437:$i]:(((subset @ X1435 @ X1436)=>((subset @ X1436 @ X1437)=>(subset @ X1435 @ X1437))))=>(![X1438:$i, X1439:$i]:((subset @ X1439 @ (setadjoin @ X1438 @ X1439)))=>(![X1440:$i, X1441:$i, X1442:$i]:(((subset @ X1440 @ X1442)=>(subset @ X1440 @ (setadjoin @ X1441 @ X1442))))=>(![X1443:$i, X1444:$i]:(((subset @ X1443 @ X1444)=>(in @ X1443 @ (powerset @ X1444))))=>(![X1445:$i, X1446:$i]:(((subset @ X1445 @ X1446)=>((subset @ X1446 @ X1445)=>((X1445)=(X1446)))))=>(![X1447:$i]:(((subset @ X1447 @ emptyset)=>((X1447)=(emptyset))))=>(![X1448:$i, X1449:$i]:(((subset @ X1449 @ X1448)=>(in @ X1449 @ (powerset @ X1448))))=>(![X1450:$i, X1451:$i]:(((in @ X1451 @ (powerset @ X1450))=>(subset @ X1451 @ X1450)))=>(![X1452:$i]:((in @ X1452 @ (powerset @ X1452)))=>(![X1453:$i, X1454:$i]:(((subset @ X1453 @ X1454)=>(subset @ (powerset @ X1453) @ (powerset @ X1454))))=>(![X1455:$i, X1456:$i > $o]:((in @ (dsetconstr @ X1455 @ X1456) @ (powerset @ X1455)))=>(![X1457:$i, X1458:$i > $o]:((subset @ (dsetconstr @ X1457 @ X1458) @ X1457))=>(![X1459:$i, X1460:$i, X1461:$i]:(((in @ X1461 @ X1459)=>(in @ X1461 @ (binunion @ X1459 @ X1460))))=>(![X1462:$i, X1463:$i]:((in @ X1463 @ (setadjoin @ X1462 @ (setadjoin @ X1463 @ emptyset))))=>(![X1464:$i, X1465:$i, X1466:$i]:(((in @ X1466 @ X1465)=>(in @ X1466 @ (binunion @ X1464 @ X1465))))=>(![X1467:$i, X1468:$i, X1469:$i, X1470:$o]:(((in @ X1469 @ (binunion @ X1467 @ X1468))=>(((in @ X1469 @ X1467)=>(X1470))=>(((in @ X1469 @ X1468)=>(X1470))=>(X1470)))))=>(![X1471:$i, X1472:$i, X1473:$i]:(((in @ X1473 @ (binunion @ X1471 @ X1472))=>((in @ X1473 @ X1471)|(in @ X1473 @ X1472))))=>(![X1474:$i, X1475:$i]:((subset @ X1474 @ (binunion @ X1474 @ X1475)))=>(![X1476:$i, X1477:$i]:((subset @ X1477 @ (binunion @ X1476 @ X1477)))=>(![X1478:$i, X1479:$i, X1480:$i]:(((in @ X1480 @ X1478)=>((in @ X1480 @ X1479)=>(in @ X1480 @ (binintersect @ X1478 @ X1479)))))=>(![X1481:$i, X1482:$i, X1483:$i]:(((subset @ X1483 @ X1481)=>((subset @ X1483 @ X1482)=>(subset @ X1483 @ (binintersect @ X1481 @ X1482)))))=>(![X1484:$i, X1485:$i, X1486:$i]:(((in @ X1486 @ (binintersect @ X1484 @ X1485))=>(in @ X1486 @ X1484)))=>(![X1487:$i, X1488:$i]:((subset @ (binintersect @ X1487 @ X1488) @ X1487))=>(![X1489:$i, X1490:$i]:(((subset @ X1489 @ X1490)=>((binintersect @ X1489 @ X1490)=(X1489))))=>(![X1491:$i, X1492:$i]:((((binintersect @ X1491 @ X1492)=(X1492))=>(subset @ X1492 @ X1491)))=>(![X1493:$i, X1494:$i, X1495:$i]:(((in @ X1495 @ (binintersect @ X1493 @ X1494))=>(in @ X1495 @ X1494)))=>(![X1496:$i, X1497:$i]:((~(?[X1498:$i]:(((in @ X1498 @ X1496)&(in @ X1498 @ X1497))))=>((binintersect @ X1496 @ X1497)=(emptyset))))=>(![X1499:$i, X1500:$i]:((subset @ (binintersect @ X1499 @ X1500) @ X1500))=>(![X1501:$i, X1502:$i]:(((subset @ X1502 @ X1501)=>((binintersect @ X1501 @ X1502)=(X1502))))=>(![X1503:$i, X1504:$i]:((((binintersect @ X1503 @ X1504)=(X1503))=>(subset @ X1503 @ X1504)))=>(![X1505:$i, X1506:$i, X1507:$i]:(((binintersect @ X1505 @ (binunion @ X1506 @ X1507))=(binunion @ (binintersect @ X1505 @ X1506) @ (binintersect @ X1505 @ X1507))))=>(![X1508:$i, X1509:$i, X1510:$i]:(((in @ X1510 @ X1508)=>(~(in @ X1510 @ X1509)=>(in @ X1510 @ (setminus @ X1508 @ X1509)))))=>(![X1511:$i, X1512:$i, X1513:$i]:(((in @ X1513 @ (setminus @ X1511 @ X1512))=>(in @ X1513 @ X1511)))=>(![X1514:$i, X1515:$i, X1516:$i]:(((in @ X1516 @ (setminus @ X1514 @ X1515))=>~(in @ X1516 @ X1515)))=>(![X1517:$i, X1518:$i]:(((subset @ X1517 @ X1518)=>((setminus @ X1517 @ X1518)=(emptyset))))=>(![X1519:$i, X1520:$i, X1521:$i]:((~(in @ X1521 @ (setminus @ X1519 @ X1520))=>((in @ X1521 @ X1519)=>(in @ X1521 @ X1520))))=>(![X1522:$i, X1523:$i, X1524:$i]:((~(in @ X1524 @ (setminus @ X1522 @ X1523))=>(~(in @ X1524 @ X1523)=>~(in @ X1524 @ X1522))))=>(![X1525:$i, X1526:$i, X1527:$i]:((~(in @ X1527 @ X1525)=>~(in @ X1527 @ (setminus @ X1525 @ X1526))))=>(![X1528:$i, X1529:$i, X1530:$i]:(((in @ X1530 @ X1529)=>~(in @ X1530 @ (setminus @ X1528 @ X1529))))=>(![X1531:$i, X1532:$i]:((subset @ (setminus @ X1531 @ X1532) @ X1531))=>(![X1533:$i, X1534:$i]:((((setminus @ X1533 @ X1534)=(emptyset))=>(subset @ X1533 @ X1534)))=>(![X1535:$i, X1536:$i, X1537:$i]:(((in @ X1537 @ (symdiff @ X1535 @ X1536))=>![X1538:$o]:((((in @ X1537 @ X1535)=>(~(in @ X1537 @ X1536)=>(X1538)))=>((~(in @ X1537 @ X1535)=>((in @ X1537 @ X1536)=>(X1538)))=>(X1538))))))=>(![X1539:$i, X1540:$i, X1541:$i]:(((in @ X1541 @ X1539)=>(~(in @ X1541 @ X1540)=>(in @ X1541 @ (symdiff @ X1539 @ X1540)))))=>(![X1542:$i, X1543:$i, X1544:$i]:((~(in @ X1544 @ X1542)=>((in @ X1544 @ X1543)=>(in @ X1544 @ (symdiff @ X1542 @ X1543)))))=>(![X1545:$i, X1546:$i, X1547:$i]:(((in @ X1547 @ X1545)=>((in @ X1547 @ X1546)=>~(in @ X1547 @ (symdiff @ X1545 @ X1546)))))=>(![X1548:$i, X1549:$i, X1550:$i]:((~(in @ X1550 @ X1548)=>(~(in @ X1550 @ X1549)=>~(in @ X1550 @ (symdiff @ X1548 @ X1549)))))=>(![X1551:$i, X1552:$i]:((in @ X1552 @ (setadjoin @ X1551 @ (setadjoin @ X1552 @ emptyset))))=>(![X1553:$i, X1554:$i]:((in @ X1553 @ (setunion @ (setadjoin @ (setadjoin @ X1553 @ emptyset) @ (setadjoin @ (setadjoin @ X1553 @ (setadjoin @ X1554 @ emptyset)) @ emptyset)))))=>(![X1555:$i, X1556:$i]:((in @ X1556 @ (setunion @ (setadjoin @ (setadjoin @ X1555 @ emptyset) @ (setadjoin @ (setadjoin @ X1555 @ (setadjoin @ X1556 @ emptyset)) @ emptyset)))))=>(![X1557:$i, X1558:$i]:((iskpair @ (setadjoin @ (setadjoin @ X1557 @ emptyset) @ (setadjoin @ (setadjoin @ X1557 @ (setadjoin @ X1558 @ emptyset)) @ emptyset))))=>(![X1559:$i, X1560:$i]:((iskpair @ (kpair @ X1559 @ X1560)))=>(![X1561:$i, X1562:$i]:(((in @ X1562 @ X1561)=>(subset @ (setadjoin @ X1562 @ emptyset) @ X1561)))=>(![X1563:$i, X1564:$i]:(((in @ X1564 @ X1563)=>(in @ (setadjoin @ X1564 @ emptyset) @ (powerset @ X1563))))=>(![X1565:$i, X1566:$i, X1567:$i]:(((in @ X1567 @ X1565)=>(in @ (setadjoin @ X1567 @ emptyset) @ (powerset @ (binunion @ X1565 @ X1566)))))=>(![X1568:$i, X1569:$i, X1570:$i]:(((in @ X1570 @ (setadjoin @ X1568 @ (setadjoin @ X1569 @ emptyset)))=>(((X1570)=(X1568))|((X1570)=(X1569)))))=>(![X1571:$i, X1572:$i, X1573:$i]:(((in @ X1573 @ X1571)=>![X1574:$i]:(((in @ X1574 @ X1572)=>(subset @ (setadjoin @ X1573 @ (setadjoin @ X1574 @ emptyset)) @ (binunion @ X1571 @ X1572))))))=>(![X1575:$i, X1576:$i, X1577:$i]:(((in @ X1577 @ X1575)=>![X1578:$i]:(((in @ X1578 @ X1576)=>(in @ (setadjoin @ X1577 @ (setadjoin @ X1578 @ emptyset)) @ (powerset @ (binunion @ X1575 @ X1576)))))))=>(![X1579:$i, X1580:$i, X1581:$i]:(((in @ X1581 @ X1579)=>![X1582:$i]:(((in @ X1582 @ X1580)=>(subset @ (setadjoin @ (setadjoin @ X1581 @ emptyset) @ (setadjoin @ (setadjoin @ X1581 @ (setadjoin @ X1582 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1579 @ X1580)))))))=>(![X1583:$i, X1584:$i, X1585:$i]:(((in @ X1585 @ X1583)=>![X1586:$i]:(((in @ X1586 @ X1584)=>(in @ (setadjoin @ (setadjoin @ X1585 @ emptyset) @ (setadjoin @ (setadjoin @ X1585 @ (setadjoin @ X1586 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1583 @ X1584))))))))=>(![X1587:$i, X1588:$i, X1589:$i]:(((in @ X1589 @ X1587)=>![X1590:$i]:(((in @ X1590 @ X1588)=>(in @ (kpair @ X1589 @ X1590) @ (powerset @ (powerset @ (binunion @ X1587 @ X1588))))))))=>(![X1591:$i, X1592:$i, X1593:$i]:(((in @ X1593 @ X1591)=>![X1594:$i]:(((in @ X1594 @ X1592)=>(in @ (kpair @ X1593 @ X1594) @ (cartprod @ X1591 @ X1592))))))=>(![X1595:$i, X1596:$i, X1597:$i]:(((in @ X1597 @ (cartprod @ X1595 @ X1596))=>?[X1598:$i]:(((in @ X1598 @ X1595)&?[X1599:$i]:(((in @ X1599 @ X1596)&((X1597)=(kpair @ X1598 @ X1599))))))))=>(![X1600:$i, X1601:$i, X1602:$i]:(((in @ X1602 @ (cartprod @ X1600 @ X1601))=>(iskpair @ X1602)))=>(![X1603:$i, X1604:$i]:(((in @ X1604 @ (setunion @ X1603))=>?[X1605:$i]:(((in @ X1605 @ X1603)&(in @ X1604 @ X1605)))))=>(![X1606:$i]:((subset @ (setunion @ (setadjoin @ X1606 @ emptyset)) @ X1606))=>(![X1607:$i]:((subset @ X1607 @ (setunion @ (setadjoin @ X1607 @ emptyset))))=>(![X1608:$i]:(((setunion @ (setadjoin @ X1608 @ emptyset))=(X1608)))=>(![X1609:$i, X1610:$i > $o]:((![X1611:$i]:(((in @ X1611 @ X1609)=>![X1612:$i]:(((in @ X1612 @ X1609)=>((X1610 @ X1611)=>((X1610 @ X1612)=>((X1611)=(X1612))))))))=>(?[X1613:$i]:(((in @ X1613 @ X1609)&(X1610 @ X1613)))=>(singleton @ (dsetconstr @ X1609 @ X1610)))))=>(![X1614:$i, X1615:$i > $o]:(((ex1 @ X1614 @ X1615)=>?[X1616:$i]:(((in @ X1616 @ X1614)&(X1615 @ X1616)))))=>(![X1617:$i, X1618:$i > $o, X1619:$i]:(((in @ X1619 @ X1617)=>((X1618 @ X1619)=>(![X1620:$i]:(((in @ X1620 @ X1617)=>((X1618 @ X1620)=>((X1620)=(X1619)))))=>(ex1 @ X1617 @ X1618)))))=>(![X1621:$i, X1622:$i > $o]:((![X1623:$i]:(((in @ X1623 @ X1621)=>![X1624:$i]:(((in @ X1624 @ X1621)=>((X1622 @ X1623)=>((X1622 @ X1624)=>((X1623)=(X1624))))))))=>(?[X1625:$i]:(((in @ X1625 @ X1621)&(X1622 @ X1625)))=>(ex1 @ X1621 @ X1622))))=>(![X1626:$i, X1627:$i]:((((setadjoin @ X1626 @ emptyset)=(setadjoin @ X1627 @ emptyset))=>((X1626)=(X1627))))=>(![X1628:$i, X1629:$i, X1630:$i]:(((in @ (setadjoin @ X1630 @ emptyset) @ (setadjoin @ (setadjoin @ X1628 @ emptyset) @ (setadjoin @ (setadjoin @ X1628 @ (setadjoin @ X1629 @ emptyset)) @ emptyset)))=>((X1628)=(X1630))))=>(![X1631:$i]:(((iskpair @ X1631)=>(singleton @ (dsetconstr @ (setunion @ X1631) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1631)))))))=>(![X1632:$i]:(((singleton @ X1632)=>(in @ (setunion @ X1632) @ X1632)))=>(![X1633:$i, X1634:$i]:(((kfst @ (kpair @ X1633 @ X1634))=(X1633)))=>(![X1635:$i, X1636:$i, X1637:$i]:(((in @ X1637 @ (cartprod @ X1635 @ X1636))=>(in @ (kfst @ X1637) @ X1635)))=>(![X1638:$i, X1639:$i, X1640:$i, X1641:$i]:((((setadjoin @ (setadjoin @ X1638 @ emptyset) @ (setadjoin @ (setadjoin @ X1638 @ (setadjoin @ X1639 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1640 @ emptyset) @ (setadjoin @ (setadjoin @ X1640 @ (setadjoin @ X1641 @ emptyset)) @ emptyset)))=>((X1638)=(X1640))))=>(![X1642:$i, X1643:$i, X1644:$i, X1645:$i]:((((kpair @ X1642 @ X1643)=(kpair @ X1644 @ X1645))=>((X1642)=(X1644))))=>(![X1646:$i, X1647:$i]:((((X1646)=(X1647))=>((setadjoin @ X1646 @ (setadjoin @ X1647 @ emptyset))=(setadjoin @ X1646 @ emptyset))))=>(![X1648:$i, X1649:$i]:((((X1648)=(X1649))=>((setadjoin @ (setadjoin @ X1648 @ emptyset) @ (setadjoin @ (setadjoin @ X1648 @ (setadjoin @ X1649 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1648 @ emptyset) @ emptyset))))=>(![X1650:$i, X1651:$i, X1652:$i, X1653:$i]:((((setadjoin @ (setadjoin @ X1650 @ emptyset) @ (setadjoin @ (setadjoin @ X1650 @ (setadjoin @ X1651 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1652 @ emptyset) @ (setadjoin @ (setadjoin @ X1652 @ (setadjoin @ X1653 @ emptyset)) @ emptyset)))=>(((X1652)=(X1653))=>((X1651)=(X1653)))))=>(![X1654:$i, X1655:$i, X1656:$i]:((((setadjoin @ X1654 @ (setadjoin @ X1655 @ emptyset))=(setadjoin @ X1656 @ emptyset))=>((X1654)=(X1655))))=>(![X1657:$i, X1658:$i, X1659:$i, X1660:$i]:((((setadjoin @ (setadjoin @ X1657 @ emptyset) @ (setadjoin @ (setadjoin @ X1657 @ (setadjoin @ X1658 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1659 @ emptyset) @ (setadjoin @ (setadjoin @ X1659 @ (setadjoin @ X1660 @ emptyset)) @ emptyset)))=>((X1658)=(X1660))))=>(![X1661:$i, X1662:$i, X1663:$i, X1664:$i]:((((kpair @ X1661 @ X1662)=(kpair @ X1663 @ X1664))=>((X1662)=(X1664))))=>(![X1665:$i]:(((iskpair @ X1665)=>(singleton @ (dsetconstr @ (setunion @ X1665) @ (^[Z0:$i]:(((X1665)=(kpair @ (kfst @ X1665) @ Z0))))))))=>(![X1666:$i, X1667:$i]:(((ksnd @ (kpair @ X1666 @ X1667))=(X1667)))=>(![X1668:$i]:(((iskpair @ X1668)=>((kpair @ (kfst @ X1668) @ (ksnd @ X1668))=(X1668))))=>(![X1669:$i, X1670:$i, X1671:$i]:(((in @ X1671 @ (cartprod @ X1669 @ X1670))=>(in @ (ksnd @ X1671) @ X1670)))=>(![X1672:$i, X1673:$i, X1674:$i, X1675:$i]:(((in @ (kpair @ X1674 @ X1675) @ (cartprod @ X1672 @ X1673))=>(in @ X1674 @ X1672)))=>(![X1676:$i, X1677:$i, X1678:$i, X1679:$i]:(((in @ (kpair @ X1678 @ X1679) @ (cartprod @ X1676 @ X1677))=>(in @ X1679 @ X1677)))=>(![X1680:$i, X1681:$i, X1682:$i]:(((in @ X1682 @ X1680)=>![X1683:$i]:(((in @ X1683 @ X1681)=>((kpair @ X1682 @ X1683)=(kpair @ X1682 @ X1683))))))=>(![X1684:$i, X1685:$i, X1686:$i]:(((in @ X1686 @ X1684)=>![X1687:$i]:(((in @ X1687 @ X1685)=>((kfst @ (kpair @ X1686 @ X1687))=(X1686))))))=>(![X1688:$i, X1689:$i, X1690:$i]:(((in @ X1690 @ X1688)=>![X1691:$i]:(((in @ X1691 @ X1689)=>((ksnd @ (kpair @ X1690 @ X1691))=(X1691))))))=>(![X1692:$i, X1693:$i, X1694:$i]:(((in @ X1694 @ (cartprod @ X1692 @ X1693))=>((kpair @ (kfst @ X1694) @ (ksnd @ X1694))=(X1694))))=>(![X1695:$i, X1696:$i, X1697:$i > $i > $o, X1698:$i]:(((in @ X1698 @ X1695)=>![X1699:$i]:(((in @ X1699 @ X1696)=>((X1697 @ X1698 @ X1699)=>(in @ (kpair @ X1698 @ X1699) @ (dpsetconstr @ X1695 @ X1696 @ X1697)))))))=>(![X1700:$i, X1701:$i, X1702:$i > $i > $o]:((subset @ (dpsetconstr @ X1700 @ X1701 @ X1702) @ (cartprod @ X1700 @ X1701)))=>(![X1703:$i, X1704:$i, X1705:$i > $i > $o]:((breln @ X1703 @ X1704 @ (dpsetconstr @ X1703 @ X1704 @ X1705)))=>(![X1706:$i, X1707:$i, X1708:$i > $i > $o, X1709:$i]:(((in @ X1709 @ X1706)=>![X1710:$i]:(((in @ X1710 @ X1707)=>((in @ (kpair @ X1709 @ X1710) @ (dpsetconstr @ X1706 @ X1707 @ X1708))=>(X1708 @ X1709 @ X1710))))))=>(![X1711:$i, X1712:$i, X1713:$i > $i > $o, X1714:$i, X1715:$i]:(((in @ (kpair @ X1714 @ X1715) @ (dpsetconstr @ X1711 @ X1712 @ X1713))=>(in @ X1714 @ X1711)))=>(![X1716:$i, X1717:$i, X1718:$i > $i > $o, X1719:$i, X1720:$i]:(((in @ (kpair @ X1719 @ X1720) @ (dpsetconstr @ X1716 @ X1717 @ X1718))=>(in @ X1720 @ X1717)))=>(![X1721:$i, X1722:$i, X1723:$i > $i > $o, X1724:$i, X1725:$i]:(((in @ (kpair @ X1724 @ X1725) @ (dpsetconstr @ X1721 @ X1722 @ X1723))=>(X1723 @ X1724 @ X1725)))=>(![X1726:$i, X1727:$i, X1728:$i]:(((func @ X1726 @ X1727 @ X1728)=>![X1729:$i]:(((in @ X1729 @ X1726)=>(singleton @ (dsetconstr @ X1727 @ (^[Z0:$i]:((in @ (kpair @ X1729 @ Z0) @ X1728)))))))))=>(![X1730:$i, X1731:$i, X1732:$i]:(((func @ X1730 @ X1731 @ X1732)=>![X1733:$i]:(((in @ X1733 @ X1730)=>(in @ (setunion @ (dsetconstr @ X1731 @ (^[Z0:$i]:((in @ (kpair @ X1733 @ Z0) @ X1732))))) @ X1731)))))=>(![X1734:$i, X1735:$i, X1736:$i]:(((func @ X1734 @ X1735 @ X1736)=>![X1737:$i]:(((in @ X1737 @ X1734)=>(in @ (ap @ X1734 @ X1735 @ X1736 @ X1737) @ X1735)))))=>(![X1738:$i, X1739:$i, X1740:$i]:(((in @ X1740 @ (funcSet @ X1738 @ X1739))=>(func @ X1738 @ X1739 @ X1740)))=>(![X1741:$i, X1742:$i, X1743:$i]:(((in @ X1743 @ (funcSet @ X1741 @ X1742))=>![X1744:$i]:(((in @ X1744 @ X1741)=>(in @ (ap @ X1741 @ X1742 @ X1743 @ X1744) @ X1742)))))=>(![X1745:$i, X1746:$i, X1747:$i]:(((func @ X1745 @ X1746 @ X1747)=>(in @ X1747 @ (funcSet @ X1745 @ X1746))))=>(![X1748:$i, X1749:$i, X1750:$i > $i]:((![X1751:$i]:(((in @ X1751 @ X1748)=>(in @ (X1750 @ X1751) @ X1749)))=>(func @ X1748 @ X1749 @ (dpsetconstr @ X1748 @ X1749 @ (^[Z0:$i]:($eq @ (X1750 @ Z0)))))))=>(![X1752:$i, X1753:$i, X1754:$i > $i]:((![X1755:$i]:(((in @ X1755 @ X1752)=>(in @ (X1754 @ X1755) @ X1753)))=>(func @ X1752 @ X1753 @ (lam @ X1752 @ X1753 @ X1754))))=>(![X1756:$i, X1757:$i, X1758:$i > $i]:((![X1759:$i]:(((in @ X1759 @ X1756)=>(in @ (X1758 @ X1759) @ X1757)))=>(in @ (lam @ X1756 @ X1757 @ X1758) @ (funcSet @ X1756 @ X1757))))=>(![X1760:$i, X1761:$i, X1762:$i]:(((breln @ X1760 @ X1761 @ X1762)=>![X1763:$i > $o]:((![X1764:$i]:(((in @ X1764 @ X1760)=>![X1765:$i]:(((in @ X1765 @ X1761)=>((in @ (kpair @ X1764 @ X1765) @ X1762)=>(X1763 @ (kpair @ X1764 @ X1765)))))))=>![X1766:$i]:(((in @ X1766 @ X1762)=>(X1763 @ X1766)))))))=>(![X1767:$i, X1768:$i, X1769:$i]:(((breln @ X1767 @ X1768 @ X1769)=>![X1770:$i > $o]:((![X1771:$i]:(((in @ X1771 @ X1767)=>![X1772:$i]:(((in @ X1772 @ X1768)=>((in @ (kpair @ X1771 @ X1772) @ X1769)=>(X1770 @ (kpair @ X1771 @ X1772)))))))=>![X1773:$i]:(((in @ X1773 @ X1769)=>(X1770 @ X1773)))))))=>(![X1774:$i, X1775:$i > $o]:(((ex1 @ X1774 @ X1775)=>![X1776:$i]:(((in @ X1776 @ X1774)=>![X1777:$i]:(((in @ X1777 @ X1774)=>((X1775 @ X1776)=>((X1775 @ X1777)=>((X1776)=(X1777))))))))))=>(![X1778:$i, X1779:$i, X1780:$i]:(((func @ X1778 @ X1779 @ X1780)=>![X1781:$i]:(((in @ X1781 @ X1778)=>(in @ (kpair @ X1781 @ (ap @ X1778 @ X1779 @ X1780 @ X1781)) @ X1780)))))=>(![X1782:$i, X1783:$i, X1784:$i]:(((in @ X1784 @ (funcSet @ X1782 @ X1783))=>![X1785:$i]:(((in @ X1785 @ X1782)=>(in @ (kpair @ X1785 @ (ap @ X1782 @ X1783 @ X1784 @ X1785)) @ X1784)))))=>(![X1786:$i, X1787:$i, X1788:$i]:(((func @ X1786 @ X1787 @ X1788)=>![X1789:$i]:(((in @ X1789 @ X1786)=>![X1790:$i]:(((in @ X1790 @ X1787)=>((in @ (kpair @ X1789 @ X1790) @ X1788)=>((ap @ X1786 @ X1787 @ X1788 @ X1789)=(X1790)))))))))=>(![X1791:$i, X1792:$i, X1793:$i]:(((func @ X1791 @ X1792 @ X1793)=>![X1794:$i]:(((func @ X1791 @ X1792 @ X1794)=>(![X1795:$i]:(((in @ X1795 @ X1791)=>((ap @ X1791 @ X1792 @ X1793 @ X1795)=(ap @ X1791 @ X1792 @ X1794 @ X1795))))=>![X1796:$i]:(((in @ X1796 @ X1791)=>![X1797:$i]:(((in @ X1797 @ X1792)=>((in @ (kpair @ X1796 @ X1797) @ X1794)=>(in @ (kpair @ X1796 @ X1797) @ X1793)))))))))))=>(![X1798:$i, X1799:$i, X1800:$i]:(((in @ X1800 @ (funcSet @ X1798 @ X1799))=>![X1801:$i]:(((in @ X1801 @ X1798)=>![X1802:$i]:(((in @ X1802 @ X1799)=>((in @ (kpair @ X1801 @ X1802) @ X1800)=>((ap @ X1798 @ X1799 @ X1800 @ X1801)=(X1802)))))))))=>(![X1803:$i, X1804:$i, X1805:$i]:(((breln @ X1803 @ X1804 @ X1805)=>![X1806:$i]:(((breln @ X1803 @ X1804 @ X1806)=>(![X1807:$i]:(((in @ X1807 @ X1803)=>![X1808:$i]:(((in @ X1808 @ X1804)=>((in @ (kpair @ X1807 @ X1808) @ X1805)=>(in @ (kpair @ X1807 @ X1808) @ X1806))))))=>(subset @ X1805 @ X1806))))))=>(![X1809:$i, X1810:$i, X1811:$i]:(((breln @ X1809 @ X1810 @ X1811)=>![X1812:$i]:(((breln @ X1809 @ X1810 @ X1812)=>(![X1813:$i]:(((in @ X1813 @ X1809)=>![X1814:$i]:(((in @ X1814 @ X1810)=>((in @ (kpair @ X1813 @ X1814) @ X1811)=>(in @ (kpair @ X1813 @ X1814) @ X1812))))))=>(![X1815:$i]:(((in @ X1815 @ X1809)=>![X1816:$i]:(((in @ X1816 @ X1810)=>((in @ (kpair @ X1815 @ X1816) @ X1812)=>(in @ (kpair @ X1815 @ X1816) @ X1811))))))=>((X1811)=(X1812))))))))=>(![X1817:$i, X1818:$i, X1819:$i]:(((func @ X1817 @ X1818 @ X1819)=>![X1820:$i]:(((func @ X1817 @ X1818 @ X1820)=>(![X1821:$i]:(((in @ X1821 @ X1817)=>((ap @ X1817 @ X1818 @ X1819 @ X1821)=(ap @ X1817 @ X1818 @ X1820 @ X1821))))=>((X1819)=(X1820)))))))=>(![X1822:$i, X1823:$i, X1824:$i]:(((in @ X1824 @ (funcSet @ X1822 @ X1823))=>![X1825:$i]:(((in @ X1825 @ (funcSet @ X1822 @ X1823))=>(![X1826:$i]:(((in @ X1826 @ X1822)=>((ap @ X1822 @ X1823 @ X1824 @ X1826)=(ap @ X1822 @ X1823 @ X1825 @ X1826))))=>((X1824)=(X1825)))))))=>(![X1827:$i, X1828:$i, X1829:$i]:(((in @ X1829 @ (funcSet @ X1827 @ X1828))=>![X1830:$i]:(((in @ X1830 @ X1827)=>((ap @ X1827 @ X1828 @ X1829 @ X1830)=(ap @ X1827 @ X1828 @ X1829 @ X1830))))))=>(![X1831:$i, X1832:$i, X1833:$i]:(((func @ X1831 @ X1832 @ X1833)=>![X1834:$i]:(((in @ X1834 @ X1831)=>((ap @ X1831 @ X1832 @ X1833 @ X1834)=(ap @ X1831 @ X1832 @ X1833 @ X1834))))))=>(![X1835:$i, X1836:$i, X1837:$i > $i]:((![X1838:$i]:(((in @ X1838 @ X1835)=>(in @ (X1837 @ X1838) @ X1836)))=>![X1839:$i]:(((in @ X1839 @ X1835)=>((ap @ X1835 @ X1836 @ (lam @ X1835 @ X1836 @ X1837) @ X1839)=(X1837 @ X1839))))))=>(![X1840:$i, X1841:$i, X1842:$i]:(((func @ X1840 @ X1841 @ X1842)=>((lam @ X1840 @ X1841 @ (ap @ X1840 @ X1841 @ X1842))=(X1842))))=>(![X1843:$i, X1844:$i, X1845:$i > $i]:((![X1846:$i]:(((in @ X1846 @ X1843)=>(in @ (X1845 @ X1846) @ X1844)))=>((lam @ X1843 @ X1844 @ X1845)=(lam @ X1843 @ X1844 @ X1845))))=>(![X1847:$i, X1848:$i, X1849:$i > $i]:((![X1850:$i]:(((in @ X1850 @ X1847)=>(in @ (X1849 @ X1850) @ X1848)))=>![X1851:$i]:(((in @ X1851 @ X1847)=>((ap @ X1847 @ X1848 @ (lam @ X1847 @ X1848 @ X1849) @ X1851)=(X1849 @ X1851))))))=>(![X1852:$i, X1853:$i, X1854:$i]:(((in @ X1854 @ (funcSet @ X1852 @ X1853))=>((lam @ X1852 @ X1853 @ (ap @ X1852 @ X1853 @ X1854))=(X1854))))=>(![X1855:$i, X1856:$o, X1857:$i]:(((in @ X1857 @ X1855)=>![X1858:$i]:(((in @ X1858 @ X1855)=>(~(X1856)=>(in @ X1858 @ (dsetconstr @ X1855 @ (^[Z0:$i]:((((((X1856))&(((Z0)=(X1857)))))|(((~((X1856)))&(((Z0)=(X1858)))))))))))))))=>(![X1859:$i, X1860:$o, X1861:$i]:(((in @ X1861 @ X1859)=>![X1862:$i]:(((in @ X1862 @ X1859)=>(~(X1860)=>((dsetconstr @ X1859 @ (^[Z0:$i]:((((((X1860))&(((Z0)=(X1861)))))|(((~((X1860)))&(((Z0)=(X1862)))))))))=(setadjoin @ X1862 @ emptyset)))))))=>(![X1863:$i, X1864:$o, X1865:$i]:(((in @ X1865 @ X1863)=>![X1866:$i]:(((in @ X1866 @ X1863)=>((X1864)=>(in @ X1865 @ (dsetconstr @ X1863 @ (^[Z0:$i]:((((((X1864))&(((Z0)=(X1865)))))|(((~((X1864)))&(((Z0)=(X1866)))))))))))))))=>(![X1867:$i, X1868:$o, X1869:$i]:(((in @ X1869 @ X1867)=>![X1870:$i]:(((in @ X1870 @ X1867)=>((X1868)=>((dsetconstr @ X1867 @ (^[Z0:$i]:((((((X1868))&(((Z0)=(X1869)))))|(((~((X1868)))&(((Z0)=(X1870)))))))))=(setadjoin @ X1869 @ emptyset)))))))=>(![X1871:$i, X1872:$o, X1873:$i]:(((in @ X1873 @ X1871)=>![X1874:$i]:(((in @ X1874 @ X1871)=>(singleton @ (dsetconstr @ X1871 @ (^[Z0:$i]:((((((X1872))&(((Z0)=(X1873)))))|(((~((X1872)))&(((Z0)=(X1874))))))))))))))=>(![X1875:$i, X1876:$o, X1877:$i]:(((in @ X1877 @ X1875)=>![X1878:$i]:(((in @ X1878 @ X1875)=>(in @ (if @ X1875 @ ((X1876)) @ X1877 @ X1878) @ X1875)))))=>(![X1879:$i]:(((singleton @ X1879)=>![X1880:$i]:(((in @ X1880 @ X1879)=>((setunion @ X1879)=(X1880))))))=>(![X1881:$i, X1882:$o, X1883:$i]:(((in @ X1883 @ X1881)=>![X1884:$i]:(((in @ X1884 @ X1881)=>((X1882)=>((if @ X1881 @ ((X1882)) @ X1883 @ X1884)=(X1883)))))))=>(![X1885:$i, X1886:$o, X1887:$i]:(((in @ X1887 @ X1885)=>![X1888:$i]:(((in @ X1888 @ X1885)=>(~(X1886)=>((if @ X1885 @ ((X1886)) @ X1887 @ X1888)=(X1888)))))))=>(![X1889:$i, X1890:$o, X1891:$i]:(((in @ X1891 @ X1889)=>![X1892:$i]:(((in @ X1892 @ X1889)=>(in @ (if @ X1889 @ ((X1890)) @ X1891 @ X1892) @ (setadjoin @ X1891 @ (setadjoin @ X1892 @ emptyset)))))))=>(![X1893:$i, X1894:$i]:(((in @ X1894 @ (powerset @ X1893))=>![X1895:$i]:(((in @ X1895 @ (powerset @ X1893))=>(in @ (binintersect @ X1894 @ X1895) @ (powerset @ X1893))))))=>(![X1896:$i, X1897:$i]:(((in @ X1897 @ (powerset @ X1896))=>![X1898:$i]:(((in @ X1898 @ (powerset @ X1896))=>(in @ (binunion @ X1897 @ X1898) @ (powerset @ X1896))))))=>(![X1899:$i, X1900:$i]:(((in @ X1900 @ (powerset @ X1899))=>(in @ (powerset @ X1900) @ (powerset @ (powerset @ X1899)))))=>(![X1901:$i, X1902:$i]:(((in @ X1902 @ (powerset @ X1901))=>![X1903:$i]:(((in @ X1903 @ (powerset @ X1901))=>(in @ (setminus @ X1902 @ X1903) @ (powerset @ X1901))))))=>(![X1904:$i, X1905:$i]:(((in @ X1905 @ (powerset @ X1904))=>(in @ (setminus @ X1904 @ X1905) @ (powerset @ X1904))))=>(![X1906:$i, X1907:$i]:(((in @ X1907 @ (powerset @ X1906))=>![X1908:$i]:(((in @ X1908 @ (powerset @ X1906))=>(![X1909:$i]:(((in @ X1909 @ X1906)=>((in @ X1909 @ X1907)=>(in @ X1909 @ X1908))))=>(![X1910:$i]:(((in @ X1910 @ X1906)=>((in @ X1910 @ X1908)=>(in @ X1910 @ X1907))))=>((X1907)=(X1908))))))))=>(![X1911:$i, X1912:$i]:(((in @ X1912 @ (powerset @ X1911))=>![X1913:$i]:(((in @ X1913 @ (powerset @ X1911))=>(![X1914:$i]:(((in @ X1914 @ X1911)=>((in @ X1914 @ X1912)=>(in @ X1914 @ X1913))))=>(subset @ X1912 @ X1913))))))=>(![X1915:$i, X1916:$i]:(((in @ X1916 @ (powerset @ X1915))=>![X1917:$i]:(((in @ X1917 @ (powerset @ X1915))=>(![X1918:$i]:(((in @ X1918 @ X1915)=>((in @ X1918 @ X1916)=>(in @ X1918 @ X1917))))=>(in @ X1916 @ (powerset @ X1917)))))))=>(![X1919:$i, X1920:$i]:(((in @ X1920 @ (powerset @ X1919))=>![X1921:$i]:(((in @ X1921 @ (powerset @ X1919))=>![X1922:$i]:(((in @ X1922 @ X1919)=>((in @ X1920 @ (powerset @ X1921))=>((in @ X1922 @ X1920)=>(in @ X1922 @ X1921)))))))))=>(![X1923:$i, X1924:$i]:(((in @ X1924 @ (powerset @ X1923))=>![X1925:$i]:(((in @ X1925 @ X1923)=>((in @ X1925 @ X1924)=>~(in @ X1925 @ (setminus @ X1923 @ X1924)))))))=>(![X1926:$i, X1927:$i]:(((in @ X1927 @ (powerset @ X1926))=>![X1928:$i]:(((in @ X1928 @ X1926)=>(~(in @ X1928 @ (setminus @ X1926 @ X1927))=>(in @ X1928 @ X1927))))))=>(![X1929:$i, X1930:$i]:(((in @ X1930 @ (powerset @ X1929))=>![X1931:$i]:(((in @ X1931 @ (powerset @ X1929))=>![X1932:$i]:(((in @ X1932 @ X1929)=>(~(in @ X1932 @ X1930)=>~(in @ X1932 @ (binintersect @ X1930 @ X1931)))))))))=>(![X1933:$i, X1934:$i]:(((in @ X1934 @ (powerset @ X1933))=>![X1935:$i]:(((in @ X1935 @ (powerset @ X1933))=>![X1936:$i]:(((in @ X1936 @ X1933)=>(~(in @ X1936 @ X1935)=>~(in @ X1936 @ (binintersect @ X1934 @ X1935)))))))))=>(![X1937:$i, X1938:$i]:(((in @ X1938 @ (powerset @ X1937))=>![X1939:$i]:(((in @ X1939 @ (powerset @ X1937))=>![X1940:$i]:(((in @ X1940 @ X1937)=>((subset @ X1938 @ (setminus @ X1937 @ X1939))=>((in @ X1940 @ X1939)=>~(in @ X1940 @ X1938)))))))))=>(![X1941:$i, X1942:$i]:(((in @ X1942 @ (powerset @ X1941))=>![X1943:$i]:(((in @ X1943 @ (powerset @ X1941))=>![X1944:$i]:(((in @ X1944 @ X1941)=>((subset @ X1942 @ X1943)=>(~(in @ X1944 @ X1943)=>~(in @ X1944 @ X1942)))))))))=>(![X1945:$i, X1946:$i]:(((in @ X1946 @ (powerset @ X1945))=>![X1947:$i]:(((in @ X1947 @ (powerset @ X1945))=>((subset @ X1946 @ X1947)=>(subset @ (setminus @ X1945 @ X1947) @ (setminus @ X1945 @ X1946)))))))=>(![X1948:$i, X1949:$i]:(((in @ X1949 @ (powerset @ X1948))=>![X1950:$i]:(((in @ X1950 @ (powerset @ X1948))=>((subset @ (setminus @ X1948 @ X1950) @ (setminus @ X1948 @ X1949))=>(subset @ X1949 @ X1950))))))=>(![X1951:$i, X1952:$i]:(((in @ X1952 @ (powerset @ X1951))=>![X1953:$i]:(((in @ X1953 @ X1951)=>((in @ X1953 @ X1952)=>(in @ X1953 @ (setminus @ X1951 @ (setminus @ X1951 @ X1952))))))))=>(![X1954:$i, X1955:$i]:(((in @ X1955 @ (powerset @ X1954))=>![X1956:$i]:(((in @ X1956 @ X1954)=>((in @ X1956 @ (setminus @ X1954 @ (setminus @ X1954 @ X1955)))=>(in @ X1956 @ X1955))))))=>(![X1957:$i, X1958:$i]:(((in @ X1958 @ (powerset @ X1957))=>(subset @ X1958 @ (setminus @ X1957 @ (setminus @ X1957 @ X1958)))))=>(![X1959:$i, X1960:$i]:(((in @ X1960 @ (powerset @ X1959))=>(subset @ (setminus @ X1959 @ (setminus @ X1959 @ X1960)) @ X1960)))=>(![X1961:$i, X1962:$i]:(((in @ X1962 @ (powerset @ X1961))=>((X1962)=(setminus @ X1961 @ (setminus @ X1961 @ X1962)))))=>(![X1963:$i, X1964:$i]:(((in @ X1964 @ (powerset @ X1963))=>![X1965:$i]:(((in @ X1965 @ (powerset @ X1963))=>![X1966:$i]:(((in @ X1966 @ X1963)=>((in @ X1966 @ (setminus @ X1963 @ X1964))=>~(in @ X1966 @ (binintersect @ X1964 @ X1965)))))))))=>(![X1967:$i, X1968:$i]:(((in @ X1968 @ (powerset @ X1967))=>![X1969:$i]:(((in @ X1969 @ (powerset @ X1967))=>![X1970:$i]:(((in @ X1970 @ X1967)=>((in @ X1970 @ (setminus @ X1967 @ X1968))=>(in @ X1970 @ (setminus @ X1967 @ (binintersect @ X1968 @ X1969))))))))))=>(![X1971:$i, X1972:$i]:(((in @ X1972 @ (powerset @ X1971))=>![X1973:$i]:(((in @ X1973 @ (powerset @ X1971))=>(subset @ (setminus @ X1971 @ X1972) @ (setminus @ X1971 @ (binintersect @ X1972 @ X1973)))))))=>(![X1974:$i, X1975:$i]:(((in @ X1975 @ (powerset @ X1974))=>![X1976:$i]:(((in @ X1976 @ (powerset @ X1974))=>(in @ (setminus @ X1974 @ X1975) @ (powerset @ (setminus @ X1974 @ (binintersect @ X1975 @ X1976))))))))=>(![X1977:$i, X1978:$i]:(((in @ X1978 @ (powerset @ X1977))=>![X1979:$i]:(((in @ X1979 @ (powerset @ X1977))=>((subset @ X1978 @ (setminus @ X1977 @ X1979))=>![X1980:$i]:(((in @ X1980 @ X1977)=>((in @ X1980 @ X1979)=>(in @ X1980 @ (setminus @ X1977 @ X1978))))))))))=>(![X1981:$i, X1982:$i]:(((in @ X1982 @ (powerset @ X1981))=>![X1983:$i]:(((in @ X1983 @ (powerset @ X1981))=>((subset @ X1982 @ (setminus @ X1981 @ X1983))=>(subset @ X1983 @ (setminus @ X1981 @ X1982)))))))=>(![X1984:$i, X1985:$i]:(((in @ X1985 @ (powerset @ X1984))=>![X1986:$i]:(((in @ X1986 @ (powerset @ X1984))=>![X1987:$i]:(((in @ X1987 @ X1984)=>(~(in @ X1987 @ (binunion @ X1985 @ X1986))=>~(in @ X1987 @ X1985))))))))=>(![X1988:$i, X1989:$i]:(((in @ X1989 @ (powerset @ X1988))=>![X1990:$i]:(((in @ X1990 @ (powerset @ X1988))=>![X1991:$i]:(((in @ X1991 @ X1988)=>(~(in @ X1991 @ (binunion @ X1989 @ X1990))=>~(in @ X1991 @ X1990))))))))=>(![X1992:$i, X1993:$i]:(((in @ X1993 @ (powerset @ X1992))=>![X1994:$i]:(((in @ X1994 @ (powerset @ X1992))=>![X1995:$i]:(((in @ X1995 @ (powerset @ X1992))=>![X1996:$i]:(((in @ X1996 @ X1992)=>((in @ X1996 @ (binintersect @ X1993 @ X1994))=>(in @ X1996 @ (binunion @ X1993 @ X1995)))))))))))=>(![X1997:$i, X1998:$i]:(((in @ X1998 @ (powerset @ X1997))=>![X1999:$i]:(((in @ X1999 @ (powerset @ X1997))=>![X2000:$i]:(((in @ X2000 @ (powerset @ X1997))=>![X2001:$i]:(((in @ X2001 @ X1997)=>((in @ X2001 @ (binintersect @ X1998 @ X1999))=>(in @ X2001 @ (binunion @ X1999 @ X2000)))))))))))=>(![X2002:$i, X2003:$i]:(((in @ X2003 @ (powerset @ X2002))=>![X2004:$i]:(((in @ X2004 @ (powerset @ X2002))=>![X2005:$i]:(((in @ X2005 @ (powerset @ X2002))=>![X2006:$i]:(((in @ X2006 @ X2002)=>((in @ X2006 @ (binintersect @ X2003 @ X2004))=>(in @ X2006 @ (binintersect @ (binunion @ X2003 @ X2005) @ (binunion @ X2004 @ X2005))))))))))))=>(![X2007:$i, X2008:$i]:(((in @ X2008 @ (powerset @ X2007))=>![X2009:$i]:(((in @ X2009 @ (powerset @ X2007))=>![X2010:$i]:(((in @ X2010 @ (powerset @ X2007))=>(in @ (binintersect @ X2008 @ X2009) @ (powerset @ (binintersect @ (binunion @ X2008 @ X2010) @ (binunion @ X2009 @ X2010))))))))))=>(![X2011:$i, X2012:$i]:(((in @ X2012 @ (powerset @ X2011))=>![X2013:$i]:(((in @ X2013 @ (powerset @ X2011))=>![X2014:$i]:(((in @ X2014 @ X2011)=>((in @ X2014 @ (setminus @ X2011 @ (binunion @ X2012 @ X2013)))=>~(in @ X2014 @ X2012))))))))=>(![X2015:$i, X2016:$i]:(((in @ X2016 @ (powerset @ X2015))=>![X2017:$i]:(((in @ X2017 @ (powerset @ X2015))=>![X2018:$i]:(((in @ X2018 @ X2015)=>((in @ X2018 @ (setminus @ X2015 @ (binunion @ X2016 @ X2017)))=>(in @ X2018 @ (setminus @ X2015 @ X2016)))))))))=>(![X2019:$i, X2020:$i]:(((in @ X2020 @ (powerset @ X2019))=>![X2021:$i]:(((in @ X2021 @ (powerset @ X2019))=>![X2022:$o, X2023:$i]:(((in @ X2023 @ X2019)=>((in @ X2023 @ (binunion @ X2020 @ X2021))=>(((in @ X2023 @ X2020)=>(X2022))=>(((in @ X2023 @ X2021)=>(X2022))=>(X2022))))))))))=>(![X2024:$i, X2025:$i]:(((in @ X2025 @ (powerset @ X2024))=>![X2026:$i]:(((in @ X2026 @ (powerset @ X2024))=>![X2027:$i]:(((in @ X2027 @ X2024)=>(~(in @ X2027 @ X2025)=>(~(in @ X2027 @ X2026)=>~(in @ X2027 @ (binunion @ X2025 @ X2026))))))))))=>(![X2028:$i, X2029:$i]:(((in @ X2029 @ (powerset @ X2028))=>![X2030:$i]:(((in @ X2030 @ (powerset @ X2028))=>![X2031:$i]:(((in @ X2031 @ X2028)=>((in @ X2031 @ (setminus @ X2028 @ (binunion @ X2029 @ X2030)))=>(in @ X2031 @ (setminus @ X2028 @ X2029)))))))))=>(![X2032:$i, X2033:$i]:(((in @ X2033 @ (powerset @ X2032))=>![X2034:$i]:(((in @ X2034 @ (powerset @ X2032))=>(in @ (setminus @ X2032 @ (binunion @ X2033 @ X2034)) @ (powerset @ (setminus @ X2032 @ X2033)))))))=>(![X2035:$i, X2036:$i]:(((in @ X2036 @ (powerset @ X2035))=>![X2037:$i]:(((in @ X2037 @ (powerset @ X2035))=>![X2038:$i]:(((in @ X2038 @ X2035)=>((in @ X2038 @ (setminus @ X2035 @ (binunion @ X2036 @ X2037)))=>(in @ X2038 @ (setminus @ X2035 @ X2037)))))))))=>(![X2039:$i, X2040:$i]:(((in @ X2040 @ (powerset @ X2039))=>![X2041:$i]:(((in @ X2041 @ (powerset @ X2039))=>![X2042:$i]:(((in @ X2042 @ X2039)=>((in @ X2042 @ (setminus @ X2039 @ (binintersect @ X2040 @ X2041)))=>(in @ X2042 @ (binunion @ (setminus @ X2039 @ X2040) @ (setminus @ X2039 @ X2041))))))))))=>(![X2043:$i, X2044:$i]:(((in @ X2044 @ (powerset @ X2043))=>![X2045:$i]:(((in @ X2045 @ (powerset @ X2043))=>![X2046:$i]:(((in @ X2046 @ X2043)=>((in @ X2046 @ (binunion @ (setminus @ X2043 @ X2044) @ (setminus @ X2043 @ X2045)))=>(in @ X2046 @ (setminus @ X2043 @ (binintersect @ X2044 @ X2045))))))))))=>(![X2047:$i, X2048:$i]:(((in @ X2048 @ (powerset @ X2047))=>![X2049:$i]:(((in @ X2049 @ (powerset @ X2047))=>((setminus @ X2047 @ (binintersect @ X2048 @ X2049))=(binunion @ (setminus @ X2047 @ X2048) @ (setminus @ X2047 @ X2049)))))))=>(![X2050:$i, X2051:$i]:(((in @ X2051 @ (powerset @ X2050))=>![X2052:$i]:(((in @ X2052 @ (powerset @ X2050))=>![X2053:$i]:(((in @ X2053 @ X2050)=>((in @ X2053 @ (setminus @ X2050 @ (binunion @ X2051 @ X2052)))=>(in @ X2053 @ (binintersect @ (setminus @ X2050 @ X2051) @ (setminus @ X2050 @ X2052))))))))))=>(![X2054:$i, X2055:$i]:(((in @ X2055 @ (powerset @ X2054))=>![X2056:$i]:(((in @ X2056 @ (powerset @ X2054))=>![X2057:$i]:(((in @ X2057 @ X2054)=>((in @ X2057 @ (setminus @ X2054 @ X2055))=>((in @ X2057 @ (setminus @ X2054 @ X2056))=>(in @ X2057 @ (setminus @ X2054 @ (binunion @ X2055 @ X2056)))))))))))=>(![X2058:$i, X2059:$i]:(((in @ X2059 @ (powerset @ X2058))=>![X2060:$i]:(((in @ X2060 @ (powerset @ X2058))=>![X2061:$i]:(((in @ X2061 @ X2058)=>((in @ X2061 @ (binintersect @ (setminus @ X2058 @ X2059) @ (setminus @ X2058 @ X2060)))=>(in @ X2061 @ (setminus @ X2058 @ (binunion @ X2059 @ X2060))))))))))=>(![X2062:$i, X2063:$i]:(((in @ X2063 @ (powerset @ X2062))=>![X2064:$i]:(((in @ X2064 @ (powerset @ X2062))=>((setminus @ X2062 @ (binunion @ X2063 @ X2064))=(binintersect @ (setminus @ X2062 @ X2063) @ (setminus @ X2062 @ X2064)))))))=>(![X2065:$i, X2066:$i]:(((in @ X2066 @ (powerset @ X2065))=>![X2067:$i]:(((in @ X2067 @ (powerset @ X2065))=>![X2068:$i]:(((in @ X2068 @ (binintersect @ X2066 @ X2067))=>(in @ X2068 @ X2065)))))))=>(![X2069:$i, X2070:$i]:(((in @ X2070 @ (powerset @ X2069))=>![X2071:$i]:(((in @ X2071 @ (powerset @ X2069))=>![X2072:$i]:(((in @ X2072 @ (powerset @ X2069))=>((subset @ X2070 @ X2072)=>(subset @ (binintersect @ X2070 @ X2071) @ X2072))))))))=>(![X2073:$i, X2074:$i]:(((in @ X2074 @ (powerset @ X2073))=>![X2075:$i]:(((in @ X2075 @ (powerset @ X2073))=>![X2076:$i]:(((in @ X2076 @ (powerset @ X2073))=>((subset @ X2075 @ X2076)=>(subset @ (binintersect @ X2074 @ X2075) @ X2076))))))))=>(![X2077:$i, X2078:$i]:(((in @ X2078 @ (powerset @ X2077))=>![X2079:$i]:(((in @ X2079 @ (powerset @ X2077))=>![X2080:$i]:(((in @ X2080 @ (powerset @ X2077))=>((subset @ X2078 @ X2079)=>((subset @ X2078 @ X2080)=>(subset @ X2078 @ (binintersect @ X2079 @ X2080))))))))))=>(![X2081:$i, X2082:$i]:(((in @ X2082 @ (powerset @ X2081))=>![X2083:$i]:(((in @ X2083 @ (powerset @ X2081))=>![X2084:$i]:(((in @ X2084 @ (powerset @ X2081))=>![X2085:$i]:(((in @ X2085 @ (powerset @ X2081))=>((subset @ X2082 @ X2084)=>((subset @ X2083 @ X2085)=>(subset @ (binintersect @ X2082 @ X2083) @ (binintersect @ X2084 @ X2085))))))))))))=>(![X2086:$i, X2087:$i]:(((in @ X2087 @ (powerset @ X2086))=>![X2088:$i]:(((in @ X2088 @ (powerset @ X2086))=>(in @ (setminus @ X2086 @ X2087) @ (powerset @ (setminus @ X2086 @ (binintersect @ X2087 @ X2088))))))))=>(![X2089:$i, X2090:$i]:(((in @ X2090 @ (powerset @ X2089))=>![X2091:$i]:(((in @ X2091 @ (powerset @ X2089))=>![X2092:$i]:(((in @ X2092 @ (powerset @ X2089))=>![X2093:$i]:(((in @ X2093 @ (powerset @ X2089))=>((setminus @ X2089 @ (binintersect @ (binunion @ X2090 @ X2091) @ (binunion @ X2092 @ X2093)))=(binunion @ (binintersect @ (setminus @ X2089 @ X2090) @ (setminus @ X2089 @ X2091)) @ (binintersect @ (setminus @ X2089 @ X2092) @ (setminus @ X2089 @ X2093))))))))))))=>(![X2094:$i, X2095:$i]:(((in @ X2095 @ (powerset @ X2094))=>![X2096:$i]:(((in @ X2096 @ (powerset @ X2094))=>![X2097:$i]:(((in @ X2097 @ (powerset @ X2094))=>(in @ (binintersect @ X2095 @ X2096) @ (powerset @ (binintersect @ (binunion @ X2095 @ X2097) @ (binunion @ X2096 @ X2097))))))))))=>(![X2098:$i, X2099:$i]:(((in @ X2099 @ (powerset @ X2098))=>![X2100:$i]:(((in @ X2100 @ (powerset @ X2098))=>((subset @ X2099 @ (setminus @ X2098 @ X2100))=>(subset @ X2100 @ (setminus @ X2098 @ X2099)))))))=>(![X2101:$i, X2102:$i]:(((in @ X2102 @ (powerset @ X2101))=>![X2103:$i]:(((in @ X2103 @ (powerset @ X2101))=>(in @ (setminus @ X2101 @ (binunion @ X2102 @ X2103)) @ (powerset @ (setminus @ X2101 @ X2102)))))))=>(![X2104:$i, X2105:$i]:(((breln1 @ X2104 @ X2105)=>![X2106:$i > $o]:((![X2107:$i]:(((in @ X2107 @ X2104)=>![X2108:$i]:(((in @ X2108 @ X2104)=>((in @ (kpair @ X2107 @ X2108) @ X2105)=>(X2106 @ (kpair @ X2107 @ X2108)))))))=>![X2109:$i]:(((in @ X2109 @ X2105)=>(X2106 @ X2109)))))))=>(![X2110:$i, X2111:$i]:(((in @ X2111 @ (breln1Set @ X2110))=>(breln1 @ X2110 @ X2111)))=>(![X2112:$i, X2113:$i, X2114:$i > $i > $o]:((![X2115:$i]:(((in @ X2115 @ X2112)=>?[X2116:$i]:(((in @ X2116 @ X2113)&(X2114 @ X2115 @ X2116)))))=>![X2117:$i]:(((in @ X2117 @ (breln1Set @ X2113))=>((reflwellordering @ X2113 @ X2117)=>![X2118:$i]:(((in @ X2118 @ X2112)=>(singleton @ (dsetconstr @ X2113 @ (^[Z0:$i]:(((X2114 @ X2118 @ Z0)&(![X2119:$i]:((((in @ X2119 @ X2113))=>(((X2114 @ X2118 @ X2119)=>((in @ (kpair @ Z0 @ X2119) @ X2117)))))))))))))))))))=>(![X2120:$i, X2121:$i > $i > $o]:((breln1 @ X2120 @ (dpsetconstr @ X2120 @ X2120 @ X2121)))=>(![X2122:$i, X2123:$i]:(((breln1 @ X2122 @ X2123)=>![X2124:$i > $o]:((![X2125:$i]:(((in @ X2125 @ X2122)=>![X2126:$i]:(((in @ X2126 @ X2122)=>((in @ (kpair @ X2125 @ X2126) @ X2123)=>(X2124 @ (kpair @ X2125 @ X2126)))))))=>![X2127:$i]:(((in @ X2127 @ X2123)=>(X2124 @ X2127)))))))=>(![X2128:$i, X2129:$i]:(((breln1 @ X2128 @ X2129)=>![X2130:$i]:(((breln1 @ X2128 @ X2130)=>(![X2131:$i]:(((in @ X2131 @ X2128)=>![X2132:$i]:(((in @ X2132 @ X2128)=>((in @ (kpair @ X2131 @ X2132) @ X2129)=>(in @ (kpair @ X2131 @ X2132) @ X2130))))))=>(subset @ X2129 @ X2130))))))=>(![X2133:$i, X2134:$i]:(((breln1 @ X2133 @ X2134)=>![X2135:$i]:(((breln1 @ X2133 @ X2135)=>(![X2136:$i]:(((in @ X2136 @ X2133)=>![X2137:$i]:(((in @ X2137 @ X2133)=>((in @ (kpair @ X2136 @ X2137) @ X2134)=>(in @ (kpair @ X2136 @ X2137) @ X2135))))))=>(![X2138:$i]:(((in @ X2138 @ X2133)=>![X2139:$i]:(((in @ X2139 @ X2133)=>((in @ (kpair @ X2138 @ X2139) @ X2135)=>(in @ (kpair @ X2138 @ X2139) @ X2134))))))=>((X2134)=(X2135))))))))=>(![X2140:$i, X2141:$i]:(((breln1 @ X2140 @ X2141)=>(breln1 @ X2140 @ (breln1invset @ X2140 @ X2141))))=>(![X2142:$i, X2143:$i]:(((breln1 @ X2142 @ X2143)=>![X2144:$i]:(((in @ X2144 @ X2142)=>![X2145:$i]:(((in @ X2145 @ X2142)=>((in @ (kpair @ X2144 @ X2145) @ X2143)=>(in @ (kpair @ X2145 @ X2144) @ (breln1invset @ X2142 @ X2143)))))))))=>(![X2146:$i, X2147:$i]:(((breln1 @ X2146 @ X2147)=>![X2148:$i]:(((in @ X2148 @ X2146)=>![X2149:$i]:(((in @ X2149 @ X2146)=>((in @ (kpair @ X2149 @ X2148) @ (breln1invset @ X2146 @ X2147))=>(in @ (kpair @ X2148 @ X2149) @ X2147))))))))=>(![X2150:$i, X2151:$i]:(((breln1 @ X2150 @ X2151)=>![X2152:$i]:(((breln1 @ X2150 @ X2152)=>(breln1 @ X2150 @ (breln1compset @ X2150 @ X2151 @ X2152))))))=>(![X2153:$i, X2154:$i]:(((breln1 @ X2153 @ X2154)=>![X2155:$i]:(((breln1 @ X2153 @ X2155)=>![X2156:$i]:(((in @ X2156 @ X2153)=>![X2157:$i]:(((in @ X2157 @ X2153)=>![X2158:$i]:(((in @ X2158 @ X2153)=>((in @ (kpair @ X2156 @ X2158) @ X2154)=>((in @ (kpair @ X2158 @ X2157) @ X2155)=>(in @ (kpair @ X2156 @ X2157) @ (breln1compset @ X2153 @ X2154 @ X2155))))))))))))))=>(![X2159:$i, X2160:$i]:(((breln1 @ X2159 @ X2160)=>![X2161:$i]:(((breln1 @ X2159 @ X2161)=>![X2162:$i]:(((in @ X2162 @ X2159)=>![X2163:$i]:(((in @ X2163 @ X2159)=>((in @ (kpair @ X2162 @ X2163) @ (breln1compset @ X2159 @ X2160 @ X2161))=>?[X2164:$i]:((((in @ X2164 @ X2159)&(in @ (kpair @ X2162 @ X2164) @ X2160))&(in @ (kpair @ X2164 @ X2163) @ X2161))))))))))))=>(![X2165:$i, X2166:$i]:(((breln1 @ X2165 @ X2166)=>![X2167:$i]:(((breln1 @ X2165 @ X2167)=>![X2168:$i]:(((in @ X2168 @ X2165)=>![X2169:$i]:(((in @ X2169 @ X2165)=>((in @ (kpair @ X2168 @ X2169) @ (breln1compset @ X2165 @ X2166 @ X2167))=>![X2170:$o]:((![X2171:$i]:(((in @ X2171 @ X2165)=>((in @ (kpair @ X2168 @ X2171) @ X2166)=>((in @ (kpair @ X2171 @ X2169) @ X2167)=>(X2170)))))=>(X2170))))))))))))=>(![X2172:$i, X2173:$i]:(((breln1 @ X2172 @ X2173)=>![X2174:$i]:(((breln1 @ X2172 @ X2174)=>(breln1 @ X2172 @ (binunion @ X2173 @ X2174))))))=>(![X2175:$i, X2176:$i]:(((breln1 @ X2175 @ X2176)=>![X2177:$i]:(((breln1 @ X2175 @ X2177)=>![X2178:$i]:(((in @ X2178 @ X2175)=>![X2179:$i]:(((in @ X2179 @ X2175)=>((in @ (kpair @ X2178 @ X2179) @ X2176)=>(in @ (kpair @ X2178 @ X2179) @ (binunion @ X2176 @ X2177)))))))))))=>(![X2180:$i, X2181:$i]:(((breln1 @ X2180 @ X2181)=>![X2182:$i]:(((breln1 @ X2180 @ X2182)=>![X2183:$i]:(((in @ X2183 @ X2180)=>![X2184:$i]:(((in @ X2184 @ X2180)=>((in @ (kpair @ X2183 @ X2184) @ X2182)=>(in @ (kpair @ X2183 @ X2184) @ (binunion @ X2181 @ X2182)))))))))))=>(![X2185:$i, X2186:$i]:(((breln1 @ X2185 @ X2186)=>![X2187:$i]:(((breln1 @ X2185 @ X2187)=>![X2188:$i]:(((in @ X2188 @ X2185)=>![X2189:$i]:(((in @ X2189 @ X2185)=>(((in @ (kpair @ X2188 @ X2189) @ X2186)|(in @ (kpair @ X2188 @ X2189) @ X2187))=>(in @ (kpair @ X2188 @ X2189) @ (binunion @ X2186 @ X2187)))))))))))=>(![X2190:$i, X2191:$i]:(((breln1 @ X2190 @ X2191)=>![X2192:$i]:(((breln1 @ X2190 @ X2192)=>![X2193:$i]:(((in @ X2193 @ X2190)=>![X2194:$i]:(((in @ X2194 @ X2190)=>((in @ (kpair @ X2193 @ X2194) @ (binunion @ X2191 @ X2192))=>((in @ (kpair @ X2193 @ X2194) @ X2191)|(in @ (kpair @ X2193 @ X2194) @ X2192)))))))))))=>(![X2195:$i, X2196:$i]:(((breln1 @ X2195 @ X2196)=>![X2197:$i]:(((breln1 @ X2195 @ X2197)=>![X2198:$i]:(((in @ X2198 @ X2195)=>![X2199:$i]:(((in @ X2199 @ X2195)=>((in @ (kpair @ X2198 @ X2199) @ (binunion @ X2196 @ X2197))=>![X2200:$o]:((((in @ (kpair @ X2198 @ X2199) @ X2196)=>(X2200))=>(((in @ (kpair @ X2198 @ X2199) @ X2197)=>(X2200))=>(X2200)))))))))))))=>(![X2201:$i, X2202:$i]:(((breln1 @ X2201 @ X2202)=>![X2203:$i]:(((breln1 @ X2201 @ X2203)=>((binunion @ X2202 @ X2203)=(binunion @ X2203 @ X2202))))))=>(![X2204:$i, X2205:$i]:(((breln1 @ X2204 @ X2205)=>((X2205)=(breln1invset @ X2204 @ (breln1invset @ X2204 @ X2205)))))=>(![X2206:$i, X2207:$i]:(((breln1 @ X2206 @ X2207)=>![X2208:$i]:(((breln1 @ X2206 @ X2208)=>((breln1invset @ X2206 @ (breln1compset @ X2206 @ X2207 @ X2208))=(breln1compset @ X2206 @ (breln1invset @ X2206 @ X2208) @ (breln1invset @ X2206 @ X2207)))))))=>(![X2209:$i, X2210:$i]:(((breln1 @ X2209 @ X2210)=>![X2211:$i]:(((breln1 @ X2209 @ X2211)=>![X2212:$i]:(((breln1 @ X2209 @ X2212)=>((breln1compset @ X2209 @ (binunion @ X2210 @ X2211) @ X2212)=(binunion @ (breln1compset @ X2209 @ X2210 @ X2212) @ (breln1compset @ X2209 @ X2211 @ X2212)))))))))=>(![X2213:$i, X2214:$i]:(((breln1 @ X2213 @ X2214)=>![X2215:$i]:(((breln1 @ X2213 @ X2215)=>![X2216:$i]:(((breln1 @ X2213 @ X2216)=>((breln1compset @ X2213 @ (binunion @ X2214 @ X2215) @ X2216)=(binunion @ (breln1invset @ X2213 @ (breln1compset @ X2213 @ (breln1invset @ X2213 @ X2216) @ (breln1invset @ X2213 @ X2215))) @ (breln1invset @ X2213 @ (breln1compset @ X2213 @ (breln1invset @ X2213 @ X2216) @ (breln1invset @ X2213 @ X2214)))))))))))=>(![X2217:$i, X2218:$i > $i]:(?[X2219:$i]:(![X2220:$i]:(((in @ X2220 @ X2219)<=>?[X2221:$i]:(((in @ X2221 @ X2217)&((X2220)=(X2218 @ X2221))))))))=>(![X2222:$i, X2223:$i > $i]:(?[X2224:$i]:((![X2225:$i]:(((in @ X2225 @ X2224)<=>?[X2226:$i]:(((in @ X2226 @ X2222)&((X2225)=(X2223 @ X2226))))))&![X2227:$i]:((![X2228:$i]:(((in @ X2228 @ X2227)<=>?[X2229:$i]:(((in @ X2229 @ X2222)&((X2228)=(X2223 @ X2229))))))=>((X2224)=(X2227)))))))=>(![X2230:$i, X2231:$i > $i, X2232:$i]:(((in @ X2232 @ (image1 @ X2230 @ X2231))<=>?[X2233:$i]:(((in @ X2233 @ X2230)&((X2232)=(X2231 @ X2233))))))=>(![X2234:$i, X2235:$i > $i, X2236:$i]:(((in @ X2236 @ (image1 @ X2234 @ X2235))=>?[X2237:$i]:(((in @ X2237 @ X2234)&((X2236)=(X2235 @ X2237))))))=>(![X2238:$i, X2239:$i > $i, X2240:$i]:((?[X2241:$i]:(((in @ X2241 @ X2238)&((X2240)=(X2239 @ X2241))))=>(in @ X2240 @ (image1 @ X2238 @ X2239))))=>(![X2242:$i, X2243:$i, X2244:$i]:(((in @ X2244 @ (funcSet @ X2242 @ X2243))=>((injective @ X2242 @ X2243 @ X2244)=>(in @ X2244 @ (injFuncSet @ X2242 @ X2243)))))=>(![X2245:$i, X2246:$i, X2247:$i]:(((in @ X2247 @ (injFuncSet @ X2245 @ X2246))=>(in @ X2247 @ (funcSet @ X2245 @ X2246))))=>(![X2248:$i, X2249:$i, X2250:$i]:(((in @ X2250 @ (injFuncSet @ X2248 @ X2249))=>(injective @ X2248 @ X2249 @ X2250)))=>(![X2251:$i, X2252:$i, X2253:$i]:(((in @ X2253 @ (surjFuncSet @ X2251 @ X2252))=>(in @ X2253 @ (funcSet @ X2251 @ X2252))))=>(![X2254:$i, X2255:$i, X2256:$i]:(((in @ X2256 @ (surjFuncSet @ X2254 @ X2255))=>(surjective @ X2254 @ X2255 @ X2256)))=>(![X2257:$i, X2258:$i, X2259:$i > $i]:((![X2260:$i]:(((in @ X2260 @ X2257)=>(in @ (X2259 @ X2260) @ X2258)))=>![X2261:$i]:(((in @ X2261 @ (funcSet @ X2258 @ X2257))=>(![X2262:$i]:(((in @ X2262 @ X2257)=>((ap @ X2258 @ X2257 @ X2261 @ (X2259 @ X2262))=(X2262))))=>(surjective @ X2258 @ X2257 @ X2261))))))=>(![X2263:$i, X2264:$i]:(((in @ X2264 @ (funcSet @ X2263 @ (powerset @ X2263)))=>~(surjective @ X2263 @ (powerset @ X2263) @ X2264)))=>(![X2265:$i]:((((X2265)!=(emptyset))=>?[X2266:$i]:(((in @ X2266 @ X2265)&((binintersect @ X2266 @ X2265)=(emptyset))))))=>(![X2267:$i]:(~(in @ X2267 @ X2267))=>(![X2268:$i, X2269:$i]:(((in @ X2268 @ X2269)=>~(in @ X2269 @ X2268)))=>(![X2270:$i]:(((in @ X2270 @ omega)=>(in @ (omegaS @ X2270) @ omega)))=>(![X2271:$i]:(((in @ X2271 @ omega)=>(in @ (setadjoin @ X2271 @ X2271) @ omega)))=>(![X2272:$i]:(((in @ X2272 @ omega)=>((omegaS @ X2272)!=(emptyset))))=>(![X2273:$i]:(((in @ X2273 @ omega)=>![X2274:$i]:(((in @ X2274 @ omega)=>(((omegaS @ X2273)=(omegaS @ X2274))=>((X2273)=(X2274)))))))=>(![X2275:$i]:((![X2276:$i]:(((in @ X2276 @ X2275)=>(subset @ X2276 @ X2275)))=>![X2277:$i]:(((in @ X2277 @ X2275)=>(subset @ X2277 @ X2275)))))=>![X21:$i]:((![X2278:$i]:(((in @ X2278 @ X21)=>(subset @ X2278 @ X21)))=>![X48:$i]:((![X2279:$i]:(((in @ X2279 @ X48)=>(subset @ X2279 @ X48)))=>![X2280:$i]:(((in @ X2280 @ (binintersect @ X21 @ X48))=>(subset @ X2280 @ (binintersect @ X21 @ X48)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(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_350, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_351]), foundationAx]), wellorderingAx]), c_0_352]), c_0_353]), c_0_354]), c_0_355]), c_0_356]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_357]), setext]), emptyI]), noeltsimpempty]), c_0_358]), c_0_359]), c_0_360]), c_0_361]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_362]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_363]), c_0_364]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_365]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_366]), c_0_367]), c_0_368]), inCongP]), in__Cong]), c_0_369]), c_0_370]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_371]), c_0_372]), c_0_373]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_374]), c_0_375]), 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]), c_0_376]), c_0_377]), c_0_378]), c_0_379]), singletonsuniq]), setukpairinjL1]), c_0_380]), theprop]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_381]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_382]), c_0_383]), c_0_384]), c_0_385]), c_0_386]), c_0_387]), c_0_388]), c_0_389]), c_0_390]), app]), infuncsetfunc]), ap2p]), funcinfuncset]), c_0_391]), c_0_392]), c_0_393]), brelnall1]), brelnall2]), c_0_394]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), subbreln]), eqbreln]), funcext]), funcext2]), ap2apEq1]), ap2apEq2]), c_0_395]), c_0_396]), c_0_397]), c_0_398]), c_0_399]), c_0_400]), c_0_401]), c_0_402]), c_0_403]), c_0_404]), 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]), c_0_405]), c_0_406]), breln1all1]), subbreln1]), eqbreln1]), breln1invprop]), breln1invI]), breln1invE]), breln1compprop]), breln1compI]), breln1compE]), breln1compEex]), breln1unionprop]), breln1unionIL]), breln1unionIR]), breln1unionI]), breln1unionE]), breln1unionEcases]), breln1unionCommutes]), woz2Ex]), woz2W]), woz2A]), woz2B]), image1Ex]), c_0_407]), c_0_408]), c_0_409]), c_0_410]), injFuncInInjFuncSet]), injFuncSetFuncIn]), injFuncSetFuncInj]), surjFuncSetFuncIn]), surjFuncSetFuncSurj]), leftInvIsSurj]), surjCantorThm]), c_0_411]), notinself]), notinself2]), omegaSp]), omegaSclos]), peano0notS]), peanoSinj]), c_0_349]), c_0_412])])]), c_0_413])).
% 1.86/0.59 thf(c_0_415, negated_conjecture, ![X2281:$i, X2282:$i, X2284:$i, X2285:$i, X2286:$i, X2287:$i, X2288:$i, X2289:$i, X2290:$i, X2291:$i, X2292:$i, X2294:$i, X2295:$i, X2297:$i, X2298:$i, X2299:$i, X2300:$i, X2301:$i, X2303:$i, X2304:$i > $i > $o, X2305:$i, X2307:$i, X2310:$i, X2312:$i, X2313:$i, X2314:$i, X2315:$i, X2317:$i, X2318:$i > $o, X2319:$i, X2321:$i, X2322:$i > $o, X2323:$i, X2324:$i, X2325:$i > $o, X2326:$i, X2327:$i, X2328:$i > $o, X2329:$i, X2330:$i > $o, X2331:$i, X2334:$i, X2335:$o, X2336:$i, X2337:$i, X2338:$o, X2339:$i, X2340:$i, X2341:$i > $o, X2342:$i, X2345:$i, X2346:$i, X2349:$i, X2351:$i, X2353:$i, X2354:$i > $o, X2355:$i, X2356:$i, X2358:$i, X2359:$i > $o, X2360:$i, X2361:$i, X2362:$i, X2363:$i, X2364:$i, X2365:$i, X2366:$i, X2367:$i, X2368:$i, X2369:$i, X2370:$i, X2371:$o, X2372:$i, X2373:$i, X2374:$i, X2375:$i, X2376:$i, X2377:$i, X2379:$i, X2380:$i, X2381:$i, X2382:$i, X2383:$i, X2384:$i, X2385:$i, X2386:$i, X2387:$i, X2388:$i, X2389:$o, X2391:$i, X2392:$i, X2393:$i > $o, X2394:$i, X2397:$i, X2398:$i, X2399:$i, X2401:$i, X2402:$i, X2403:$i, X2404:$i, X2405:$i, X2406:$i, X2407:$i, X2408:$i, X2409:$i, X2410:$i, X2411:$i, X2412:$i, X2413:$i, X2414:$i, X2415:$i, X2416:$i, X2417:$i > $o, X2418:$i, X2419:$i > $o, X2420:$i, X2421:$i, X2422:$i > $o, X2423:$i, X2425:$i, X2426:$i > $o, X2428:$i, X2429:$i, X2430:$i > $o, X2432:$i, X2433:$i, X2434:$i > $o, X2435:$i, X2437:$o, X2438:$o, X2439:$i, X2440:$i > $o, X2442:$i, X2443:$i, X2444:$i > $o, X2445:$i, X2447:$i > $o, X2448:$i, X2451:$i, X2452:$i > $o, X2453:$i, X2457:$i, X2458:$i > $o, X2459:$i, X2462:$i, X2463:$i, X2464:$i, X2465:$i, X2466:$i, X2467:$i, X2468:$i, X2469:$i, X2470:$i, X2471:$i > $o, X2472:$i, X2474:$i, X2475:$i, X2476:$i > $o, X2477:$i > $o, X2480:$i, X2483:$i, X2484:$i, X2487:$i, X2488:$i, X2489:$i, X2490:$i, X2491:$i, X2492:$i, X2493:$i, X2494:$i, X2495:$i, X2496:$i > $o, X2497:$i, X2499:$i, X2500:$i, X2501:$i > $o, X2502:$i > $o, X2505:$i, X2507:$i, X2509:$i, X2510:$i, X2511:$i > $o, X2512:$i > $o, X2515:$i, X2516:$i, X2518:$i, X2519:$i, X2520:$i, X2521:$i, X2522:$i, X2523:$i, X2525:$i, X2526:$i, X2527:$i, X2528:$i, X2529:$i, X2530:$i, X2531:$i, X2532:$i, X2533:$i, X2534:$i, X2535:$i, X2536:$i, X2537:$i, X2538:$i, X2539:$i, X2540:$i, X2541:$i, X2542:$i, X2543:$i, X2544:$i, X2545:$i, X2546:$i, X2547:$i, X2548:$i, X2549:$i, X2550:$i, X2551:$i, X2552:$i, X2553:$i, X2554:$i, X2555:$i, X2556:$i, X2557:$i, X2558:$i, X2559:$i, X2560:$i, X2561:$i, X2562:$i > $o, X2563:$i, X2564:$i > $o, X2565:$i, X2566:$i, X2567:$i, X2568:$i, X2569:$i, X2570:$i, X2571:$i, X2572:$i, X2573:$i, X2574:$i, X2575:$i, X2576:$o, X2577:$i, X2578:$i, X2579:$i, X2580:$i, X2581:$i, X2582:$i, X2583:$i, X2584:$i, X2585:$i, X2586:$i, X2587:$i, X2588:$i, X2589:$i, X2590:$i, X2591:$i, X2592:$i, X2593:$i, X2594:$i, X2595:$i, X2596:$i, X2597:$i, X2598:$i, X2599:$i, X2600:$i, X2601:$i, X2602:$i, X2603:$i, X2605:$i, X2606:$i, X2607:$i, X2608:$i, X2609:$i, X2610:$i, X2611:$i, X2612:$i, X2613:$i, X2614:$i, X2615:$i, X2616:$i, X2617:$i, X2618:$i, X2619:$i, X2620:$i, X2621:$i, X2622:$i, X2623:$i, X2624:$i, X2625:$i, X2626:$i, X2627:$i, X2628:$i, X2629:$i, X2630:$i, X2631:$i, X2632:$i, X2633:$i, X2634:$i, X2635:$i, X2636:$i, X2637:$i, X2638:$i, X2639:$i, X2640:$i, X2641:$i, X2642:$i, X2643:$i, X2644:$o, X2645:$i, X2646:$i, X2647:$i, X2648:$i, X2649:$i, X2650:$i, X2651:$i, X2652:$i, X2653:$i, X2654:$i, X2655:$i, X2656:$i, X2657:$i, X2658:$i, X2659:$i, X2660:$i, X2661:$i, X2662:$i, X2663:$i, X2664:$i, X2665:$i, X2666:$i, X2667:$i, X2668:$i, X2669:$i, X2670:$i, X2671:$i, X2672:$i, X2673:$i, X2674:$i, X2675:$i, X2676:$i, X2677:$i, X2678:$i, X2679:$i, X2680:$i, X2681:$i, X2682:$i, X2683:$i, X2684:$i, X2685:$i, X2686:$i, X2687:$i, X2688:$i, X2689:$i, X2690:$i, X2691:$i, X2692:$i, X2693:$i, X2694:$i, X2695:$i, X2696:$i, X2697:$i, X2698:$i, X2699:$i, X2700:$i, X2701:$i, X2702:$i, X2703:$i, X2706:$i, X2707:$i, X2708:$i, X2709:$i, X2710:$i, X2712:$i, X2713:$i, X2714:$i, X2715:$i, X2716:$i > $o, X2719:$i, X2720:$i, X2721:$i > $o, X2723:$i, X2724:$i > $o, X2725:$i, X2727:$i, X2728:$i > $o, X2731:$i, X2732:$i, X2733:$i, X2734:$i, X2735:$i, X2736:$i, X2737:$i, X2738:$i, X2739:$i, X2740:$i, X2741:$i, X2742:$i, X2743:$i, X2744:$i, X2745:$i, X2746:$i, X2747:$i, X2748:$i, X2749:$i, X2750:$i, X2751:$i, X2752:$i, X2753:$i, X2754:$i, X2755:$i, X2756:$i, X2757:$i, X2758:$i, X2759:$i, X2760:$i, X2761:$i, X2762:$i, X2763:$i, X2764:$i, X2765:$i, X2766:$i, X2767:$i, X2768:$i, X2769:$i, X2770:$i, X2771:$i, X2772:$i, X2773:$i, X2774:$i, X2775:$i, X2776:$i, X2777:$i, X2778:$i, X2779:$i, X2780:$i, X2781:$i, X2782:$i, X2783:$i, X2784:$i, X2785:$i, X2786:$i, X2787:$i, X2788:$i, X2789:$i, X2790:$i, X2791:$i, X2792:$i, X2793:$i, X2794:$i, X2795:$i, X2796:$i, X2797:$i, X2798:$i, X2799:$i, X2800:$i, X2801:$i, X2802:$i, X2803:$i > $i > $o, X2804:$i, X2805:$i, X2806:$i, X2807:$i, X2808:$i > $i > $o, X2809:$i, X2810:$i, X2811:$i > $i > $o, X2812:$i, X2813:$i, X2814:$i > $i > $o, X2815:$i, X2816:$i, X2817:$i, X2818:$i, X2819:$i > $i > $o, X2820:$i, X2821:$i, X2822:$i, X2823:$i, X2824:$i > $i > $o, X2825:$i, X2826:$i, X2827:$i, X2828:$i, X2829:$i > $i > $o, X2830:$i, X2831:$i, X2832:$i, X2833:$i, X2834:$i, X2835:$i, X2836:$i, X2837:$i, X2838:$i, X2839:$i, X2840:$i, X2841:$i, X2842:$i, X2843:$i, X2844:$i, X2845:$i, X2846:$i, X2847:$i, X2848:$i, X2849:$i, X2850:$i, X2851:$i, X2852:$i, X2853:$i, X2854:$i, X2855:$i, X2856:$i > $i, X2858:$i, X2859:$i, X2860:$i > $i, X2862:$i, X2863:$i, X2864:$i > $i, X2866:$i, X2867:$i, X2868:$i, X2869:$i > $o, X2872:$i, X2873:$i, X2874:$i, X2875:$i, X2876:$i > $o, X2879:$i, X2880:$i, X2881:$i > $o, X2882:$i, X2883:$i, X2884:$i, X2885:$i, X2886:$i, X2887:$i, X2888:$i, X2889:$i, X2890:$i, X2891:$i, X2892:$i, X2893:$i, X2894:$i, X2895:$i, X2896:$i, X2897:$i, X2898:$i, X2899:$i, X2900:$i, X2902:$i, X2903:$i, X2904:$i, X2905:$i, X2906:$i, X2907:$i, X2908:$i, X2909:$i, X2910:$i, X2911:$i, X2912:$i, X2915:$i, X2916:$i, X2917:$i, X2918:$i, X2923:$i, X2924:$i, X2925:$i, X2926:$i, X2928:$i, X2929:$i, X2930:$i, X2931:$i, X2933:$i, X2934:$i, X2935:$i, X2936:$i, X2937:$i, X2938:$i, X2939:$i, X2940:$i, X2941:$i, X2942:$i, X2943:$i > $i, X2945:$i, X2946:$i, X2947:$i, X2948:$i, X2949:$i, X2950:$i, X2951:$i > $i, X2953:$i, X2954:$i, X2955:$i > $i, X2957:$i, X2958:$i, X2959:$i, X2960:$i, X2961:$i, X2962:$o, X2963:$i, X2964:$i, X2965:$i, X2966:$o, X2967:$i, X2968:$i, X2969:$i, X2970:$o, X2971:$i, X2972:$i, X2973:$i, X2974:$o, X2975:$i, X2976:$i, X2977:$i, X2978:$o, X2979:$i, X2980:$i, X2981:$i, X2982:$o, X2983:$i, X2984:$i, X2985:$i, X2986:$i, X2987:$i, X2988:$o, X2989:$i, X2990:$i, X2991:$i, X2992:$o, X2993:$i, X2994:$i, X2995:$i, X2996:$o, X2997:$i, X2998:$i, X2999:$i, X3000:$i, X3001:$i, X3002:$i, X3003:$i, X3004:$i, X3005:$i, X3006:$i, X3007:$i, X3008:$i, X3009:$i, X3010:$i, X3011:$i, X3012:$i, X3013:$i, X3014:$i, X3017:$i, X3018:$i, X3019:$i, X3021:$i, X3022:$i, X3023:$i, X3025:$i, X3026:$i, X3027:$i, X3028:$i, X3029:$i, X3030:$i, X3031:$i, X3032:$i, X3033:$i, X3034:$i, X3035:$i, X3036:$i, X3037:$i, X3038:$i, X3039:$i, X3040:$i, X3041:$i, X3042:$i, X3043:$i, X3044:$i, X3045:$i, X3046:$i, X3047:$i, X3048:$i, X3049:$i, X3050:$i, X3051:$i, X3052:$i, X3053:$i, X3054:$i, X3055:$i, X3056:$i, X3057:$i, X3058:$i, X3059:$i, X3060:$i, X3061:$i, X3062:$i, X3063:$i, X3064:$i, X3065:$i, X3066:$i, X3067:$i, X3068:$i, X3069:$i, X3070:$i, X3071:$i, X3072:$i, X3073:$i, X3074:$i, X3075:$i, X3076:$i, X3077:$i, X3078:$i, X3079:$i, X3080:$i, X3081:$i, X3082:$i, X3083:$i, X3084:$i, X3085:$i, X3086:$i, X3087:$i, X3088:$i, X3089:$i, X3090:$i, X3091:$i, X3092:$i, X3093:$i, X3094:$i, X3095:$i, X3096:$i, X3097:$i, X3098:$i, X3099:$i, X3100:$i, X3101:$i, X3102:$i, X3103:$i, X3104:$i, X3105:$i, X3106:$i, X3107:$i, X3108:$i, X3109:$i, X3110:$i, X3111:$i, X3112:$i, X3113:$i, X3114:$i, X3115:$i, X3116:$i, X3117:$i, X3118:$i, X3119:$i, X3120:$i, X3121:$i, X3122:$i, X3123:$i, X3124:$i, X3125:$i, X3126:$i, X3127:$i, X3128:$o, X3129:$i, X3130:$i, X3131:$i, X3132:$i, X3133:$i, X3134:$i, X3135:$i, X3136:$i, X3137:$i, X3138:$i, X3139:$i, X3140:$i, X3141:$i, X3142:$i, X3143:$i, X3144:$i, X3145:$i, X3146:$i, X3147:$i, X3148:$i, X3149:$i, X3150:$i, X3151:$i, X3152:$i, X3153:$i, X3154:$i, X3155:$i, X3156:$i, X3157:$i, X3158:$i, X3159:$i, X3160:$i, X3161:$i, X3162:$i, X3163:$i, X3164:$i, X3165:$i, X3166:$i, X3167:$i, X3168:$i, X3169:$i, X3170:$i, X3171:$i, X3172:$i, X3173:$i, X3174:$i, X3175:$i, X3176:$i, X3177:$i, X3178:$i, X3179:$i, X3180:$i, X3181:$i, X3182:$i, X3183:$i, X3184:$i, X3185:$i, X3186:$i, X3187:$i, X3188:$i, X3189:$i, X3190:$i, X3191:$i, X3192:$i, X3193:$i, X3194:$i, X3195:$i, X3196:$i, X3197:$i, X3198:$i, X3199:$i, X3200:$i, X3201:$i, X3202:$i, X3203:$i, X3204:$i, X3205:$i, X3206:$i, X3207:$i, X3208:$i, X3209:$i, X3210:$i, X3211:$i, X3212:$i > $o, X3215:$i, X3216:$i, X3217:$i, X3218:$i, X3219:$i, X3220:$i > $i > $o, X3222:$i, X3223:$i, X3224:$i, X3225:$i, X3226:$i > $i > $o, X3227:$i, X3228:$i, X3229:$i > $o, X3232:$i, X3233:$i, X3234:$i, X3235:$i, X3238:$i, X3239:$i, X3240:$i, X3245:$i, X3246:$i, X3247:$i, X3248:$i, X3249:$i, X3250:$i, X3251:$i, X3252:$i, X3253:$i, X3254:$i, X3255:$i, X3256:$i, X3257:$i, X3258:$i, X3259:$i, X3260:$i, X3261:$i, X3262:$i, X3263:$i, X3264:$i, X3265:$i, X3266:$i, X3267:$i, X3268:$i, X3270:$i, X3271:$i, X3272:$i, X3273:$i, X3274:$i, X3275:$o, X3277:$i, X3278:$i, X3279:$i, X3280:$i, X3281:$i, X3282:$i, X3283:$i, X3284:$i, X3285:$i, X3286:$i, X3287:$i, X3288:$i, X3289:$i, X3290:$i, X3291:$i, X3292:$i, X3293:$i, X3294:$i, X3295:$i, X3296:$i, X3297:$i, X3298:$i, X3299:$i, X3300:$i, X3301:$i, X3302:$i, X3303:$i, X3304:$i, X3305:$o, X3306:$i, X3307:$i, X3308:$i, X3309:$i, X3310:$i, X3311:$i, X3312:$i, X3313:$i, X3314:$i, X3315:$i, X3316:$i, X3317:$i, X3318:$i, X3319:$i, X3320:$i, X3321:$i, X3322:$i, X3323:$i > $i, X3325:$i, X3327:$i, X3328:$i, X3329:$i, X3330:$i > $i, X3332:$i, X3334:$i, X3335:$i, X3336:$i, X3338:$i, X3340:$i, X3341:$i > $i, X3342:$i, X3344:$i, X3345:$i > $i, X3346:$i, X3347:$i, X3348:$i, X3349:$i > $i, X3350:$i, X3352:$i, X3353:$i > $i, X3354:$i, X3355:$i, X3356:$i, X3357:$i, X3358:$i, X3359:$i, X3360:$i, X3361:$i, X3362:$i, X3363:$i, X3364:$i, X3365:$i, X3366:$i, X3367:$i, X3368:$i, X3369:$i, X3370:$i, X3371:$i, X3372:$i, X3373:$i > $i, X3375:$i, X3377:$i, X3378:$i, X3379:$i, X3381:$i, X3382:$i, X3383:$i, X3384:$i, X3385:$i, X3386:$i, X3387:$i, X3388:$i, X3389:$i, X3391:$i, X3393:$i, X3395:$i]:((((~(in @ (esk1_2 @ X2281 @ X2282) @ X2281)|~(in @ (esk1_2 @ X2281 @ X2282) @ X2282)|((X2281)=(X2282)))&((in @ (esk1_2 @ X2281 @ X2282) @ X2281)|(in @ (esk1_2 @ X2281 @ X2282) @ X2282)|((X2281)=(X2282))))&(~(in @ X2284 @ emptyset)&(((~(in @ X2287 @ (setadjoin @ X2285 @ X2286))|(((X2287)=(X2285))|(in @ X2287 @ X2286)))&((((X2287)!=(X2285))|(in @ X2287 @ (setadjoin @ X2285 @ X2286)))&(~(in @ X2287 @ X2286)|(in @ X2287 @ (setadjoin @ X2285 @ X2286)))))&(((~(in @ X2289 @ (powerset @ X2288))|(~(in @ X2290 @ X2289)|(in @ X2290 @ X2288)))&(((in @ (esk2_2 @ X2291 @ X2292) @ X2292)|(in @ X2292 @ (powerset @ X2291)))&(~(in @ (esk2_2 @ X2291 @ X2292) @ X2291)|(in @ X2292 @ (powerset @ X2291)))))&(((((in @ X2295 @ (esk3_2 @ X2294 @ X2295))|~(in @ X2295 @ (setunion @ X2294)))&((in @ (esk3_2 @ X2294 @ X2295) @ X2294)|~(in @ X2295 @ (setunion @ X2294))))&(~(in @ X2298 @ X2299)|~(in @ X2299 @ X2297)|(in @ X2298 @ (setunion @ X2297))))&((in @ emptyset @ omega)&((~(in @ X2300 @ omega)|(in @ (setadjoin @ X2300 @ X2300) @ omega))&(((((in @ (esk4_1 @ X2301) @ omega)|~(in @ emptyset @ X2301)|(~(in @ X2303 @ omega)|(in @ X2303 @ X2301)))&((in @ (esk4_1 @ X2301) @ X2301)|~(in @ emptyset @ X2301)|(~(in @ X2303 @ omega)|(in @ X2303 @ X2301))))&(~(in @ (setadjoin @ (esk4_1 @ X2301) @ (esk4_1 @ X2301)) @ X2301)|~(in @ emptyset @ X2301)|(~(in @ X2303 @ omega)|(in @ X2303 @ X2301))))&((((((in @ (esk8_3 @ X2304 @ X2305 @ X2310) @ X2305)|~(in @ X2310 @ (esk7_2 @ X2304 @ X2305))|(in @ (esk5_2 @ X2304 @ X2305) @ X2305))&((X2304 @ (esk8_3 @ X2304 @ X2305 @ X2310) @ X2310)|~(in @ X2310 @ (esk7_2 @ X2304 @ X2305))|(in @ (esk5_2 @ X2304 @ X2305) @ X2305)))&(~(in @ X2313 @ X2305)|~(X2304 @ X2313 @ X2312)|(in @ X2312 @ (esk7_2 @ X2304 @ X2305))|(in @ (esk5_2 @ X2304 @ X2305) @ X2305)))&(((((in @ (esk8_3 @ X2304 @ X2305 @ X2310) @ X2305)|~(in @ X2310 @ (esk7_2 @ X2304 @ X2305))|((X2304 @ (esk5_2 @ X2304 @ X2305) @ (esk6_3 @ X2304 @ X2305 @ X2307))|~(X2304 @ (esk5_2 @ X2304 @ X2305) @ X2307)))&((X2304 @ (esk8_3 @ X2304 @ X2305 @ X2310) @ X2310)|~(in @ X2310 @ (esk7_2 @ X2304 @ X2305))|((X2304 @ (esk5_2 @ X2304 @ X2305) @ (esk6_3 @ X2304 @ X2305 @ X2307))|~(X2304 @ (esk5_2 @ X2304 @ X2305) @ X2307))))&(~(in @ X2313 @ X2305)|~(X2304 @ X2313 @ X2312)|(in @ X2312 @ (esk7_2 @ X2304 @ X2305))|((X2304 @ (esk5_2 @ X2304 @ X2305) @ (esk6_3 @ X2304 @ X2305 @ X2307))|~(X2304 @ (esk5_2 @ X2304 @ X2305) @ X2307))))&((((in @ (esk8_3 @ X2304 @ X2305 @ X2310) @ X2305)|~(in @ X2310 @ (esk7_2 @ X2304 @ X2305))|(((X2307)!=(esk6_3 @ X2304 @ X2305 @ X2307))|~(X2304 @ (esk5_2 @ X2304 @ X2305) @ X2307)))&((X2304 @ (esk8_3 @ X2304 @ X2305 @ X2310) @ X2310)|~(in @ X2310 @ (esk7_2 @ X2304 @ X2305))|(((X2307)!=(esk6_3 @ X2304 @ X2305 @ X2307))|~(X2304 @ (esk5_2 @ X2304 @ X2305) @ X2307))))&(~(in @ X2313 @ X2305)|~(X2304 @ X2313 @ X2312)|(in @ X2312 @ (esk7_2 @ X2304 @ X2305))|(((X2307)!=(esk6_3 @ X2304 @ X2305 @ X2307))|~(X2304 @ (esk5_2 @ X2304 @ X2305) @ X2307))))))&((((in @ (esk9_1 @ X2314) @ X2314)|~(in @ X2315 @ X2314))&(~(in @ X2317 @ (esk9_1 @ X2314))|~(in @ X2317 @ X2314)|~(in @ X2315 @ X2314)))&((epred1_0)&((((X2318 @ (esk10_2 @ X2318 @ X2319))|~(X2318 @ X2319)|(X2318 @ (descr @ X2318)))&(((X2319)!=(esk10_2 @ X2318 @ X2319))|~(X2318 @ X2319)|(X2318 @ (descr @ X2318))))&((~(in @ X2323 @ X2321)|(~(X2322 @ X2323)|(in @ X2323 @ (dsetconstr @ X2321 @ X2322))))&((~(in @ X2326 @ (dsetconstr @ X2324 @ X2325))|(in @ X2326 @ X2324))&((~(in @ X2329 @ (dsetconstr @ X2327 @ X2328))|(X2328 @ X2329))&(((((X2330 @ (esk12_1 @ X2330))|((X2330 @ (esk11_2 @ X2330 @ X2331))|~(X2330 @ X2331)))&(~(X2330 @ X2334)|((esk12_1 @ X2330)=(X2334))|((X2330 @ (esk11_2 @ X2330 @ X2331))|~(X2330 @ X2331))))&(((X2330 @ (esk12_1 @ X2330))|(((X2331)!=(esk11_2 @ X2330 @ X2331))|~(X2330 @ X2331)))&(~(X2330 @ X2334)|((esk12_1 @ X2330)=(X2334))|(((X2331)!=(esk11_2 @ X2330 @ X2331))|~(X2330 @ X2331)))))&((~(in @ X2336 @ (prop2set @ ((X2335))))|(X2335))&((~(in @ X2337 @ emptyset)|(X2338))&((~(in @ X2339 @ emptyset)|~($true))&(~(in @ X2340 @ emptyset)&((((X2341 @ (esk13_2 @ X2341 @ X2342))|~(X2341 @ X2342)|(X2341 @ (esk14_1 @ X2341)))&(((X2342)!=(esk13_2 @ X2341 @ X2342))|~(X2341 @ X2342)|(X2341 @ (esk14_1 @ X2341))))&(((((in @ (esk16_2 @ X2345 @ X2346) @ X2346)|((X2345)=(X2346))|(in @ (esk15_2 @ X2345 @ X2346) @ X2345))&(~(in @ (esk16_2 @ X2345 @ X2346) @ X2345)|((X2345)=(X2346))|(in @ (esk15_2 @ X2345 @ X2346) @ X2345)))&(((in @ (esk16_2 @ X2345 @ X2346) @ X2346)|((X2345)=(X2346))|~(in @ (esk15_2 @ X2345 @ X2346) @ X2346))&(~(in @ (esk16_2 @ X2345 @ X2346) @ X2345)|((X2345)=(X2346))|~(in @ (esk15_2 @ X2345 @ X2346) @ X2346))))&(((in @ (esk17_1 @ X2349) @ X2349)|((X2349)=(emptyset)))&(((in @ (esk18_1 @ X2351) @ X2351)|((X2351)=(emptyset)))&(((~(in @ X2355 @ (dsetconstr @ X2353 @ X2354))|(X2354 @ X2355)|~(in @ X2355 @ X2353))&(~(X2354 @ X2355)|(in @ X2355 @ (dsetconstr @ X2353 @ X2354))|~(in @ X2355 @ X2353)))&((((X2356)=(emptyset))|(in @ (esk19_1 @ X2356) @ X2356))&((~(in @ X2360 @ X2358)|(~(X2359 @ X2360)|((dsetconstr @ X2358 @ X2359)!=(emptyset))))&((~(in @ X2362 @ X2361)|((X2361)!=(emptyset)))&((in @ X2363 @ (setadjoin @ X2363 @ X2364))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X2367 @ X2366)|(in @ X2367 @ (setadjoin @ X2365 @ X2366)))&(((((in @ X2370 @ X2369)|(X2371)|((X2370)=(X2368))|~(in @ X2370 @ (setadjoin @ X2368 @ X2369)))&(~(X2371)|(X2371)|((X2370)=(X2368))|~(in @ X2370 @ (setadjoin @ X2368 @ X2369))))&(((in @ X2370 @ X2369)|(X2371)|~(X2371)|~(in @ X2370 @ (setadjoin @ X2368 @ X2369)))&(~(X2371)|(X2371)|~(X2371)|~(in @ X2370 @ (setadjoin @ X2368 @ X2369)))))&((~(in @ X2374 @ (setadjoin @ X2372 @ X2373))|(((X2374)=(X2372))|(in @ X2374 @ X2373)))&(((dsetconstr @ X2375 @ (^[Z0:$i]:($true)))=(X2375))&((((in @ (esk20_2 @ X2376 @ X2377) @ X2377)|(in @ X2377 @ (powerset @ X2376)))&(~(in @ (esk20_2 @ X2376 @ X2377) @ X2376)|(in @ X2377 @ (powerset @ X2376))))&((in @ emptyset @ (powerset @ X2379))&((in @ emptyset @ (powerset @ X2380))&((~(in @ X2382 @ (powerset @ X2381))|(~(in @ X2383 @ X2382)|(in @ X2383 @ X2381)))&((~(in @ X2385 @ X2386)|(~(in @ X2386 @ X2384)|(in @ X2385 @ (setunion @ X2384))))&((((in @ X2388 @ (esk21_3 @ X2387 @ X2388 @ X2389))|(X2389)|~(in @ X2388 @ (setunion @ X2387)))&(((in @ (esk21_3 @ X2387 @ X2388 @ X2389) @ X2387)|(X2389)|~(in @ X2388 @ (setunion @ X2387)))&(~(X2389)|(X2389)|~(in @ X2388 @ (setunion @ X2387)))))&((~(in @ X2392 @ X2391)|(in @ X2392 @ (powerset @ (setunion @ X2391))))&((((~(X2393 @ X2397)|((X2397)=(esk23_1 @ X2393))|((X2393 @ (esk22_2 @ X2393 @ X2394))|~(X2393 @ X2394)))&(((X2398)!=(esk23_1 @ X2393))|(X2393 @ X2398)|((X2393 @ (esk22_2 @ X2393 @ X2394))|~(X2393 @ X2394))))&((~(X2393 @ X2397)|((X2397)=(esk23_1 @ X2393))|(((X2394)!=(esk22_2 @ X2393 @ X2394))|~(X2393 @ X2394)))&(((X2398)!=(esk23_1 @ X2393))|(X2393 @ X2398)|(((X2394)!=(esk22_2 @ X2393 @ X2394))|~(X2393 @ X2394)))))&((((in @ (esk24_1 @ X2399) @ X2399)|((X2399)=(emptyset)))&(($true)|((X2399)=(emptyset))))&((~(in @ X2401 @ (setadjoin @ X2402 @ emptyset))|((X2401)=(X2402)))&((((X2403)=(X2404))|~(in @ X2404 @ (setadjoin @ X2403 @ emptyset)))&((((X2405)!=(X2406))|(in @ X2405 @ (setadjoin @ X2406 @ emptyset)))&((~(in @ X2407 @ (setadjoin @ X2408 @ emptyset))|(in @ X2408 @ (setadjoin @ X2407 @ emptyset)))&((~(in @ X2411 @ (setadjoin @ X2409 @ (setadjoin @ X2410 @ emptyset)))|(((X2411)=(X2409))|((X2411)=(X2410))))&((in @ X2412 @ (setadjoin @ X2412 @ (setadjoin @ X2413 @ emptyset)))&((in @ X2415 @ (setadjoin @ X2414 @ (setadjoin @ X2415 @ emptyset)))&((~(in @ X2418 @ X2416)|~(X2417 @ X2418)|(((dsetconstr @ X2416 @ X2417)!=(emptyset))|~($true)))&((~(in @ X2420 @ emptyset)|(X2419 @ X2420))&((((in @ (esk25_2 @ X2421 @ X2422) @ X2421)|(~(in @ X2423 @ X2421)|(X2422 @ X2423)))&(~(X2422 @ (esk25_2 @ X2421 @ X2422))|(~(in @ X2423 @ X2421)|(X2422 @ X2423))))&((((in @ (esk26_2 @ X2425 @ X2426) @ X2425)|(~(in @ X2428 @ X2425)|~(X2426 @ X2428)))&((X2426 @ (esk26_2 @ X2425 @ X2426))|(~(in @ X2428 @ X2425)|~(X2426 @ X2428))))&((((in @ (esk27_2 @ X2429 @ X2430) @ X2429)|(~(in @ X2432 @ X2429)|~(X2430 @ X2432)))&((X2430 @ (esk27_2 @ X2429 @ X2430))|(~(in @ X2432 @ X2429)|~(X2430 @ X2432))))&((((in @ (esk28_2 @ X2433 @ X2434) @ X2433)|(~(in @ X2435 @ X2433)|(X2434 @ X2435)))&(~(X2434 @ (esk28_2 @ X2433 @ X2434))|(~(in @ X2435 @ X2433)|(X2434 @ X2435))))&((~(X2437)|(in @ emptyset @ (prop2set @ ((X2437)))))&((~(X2438)|(set2prop @ (prop2set @ ((X2438)))))&((((in @ (esk29_2 @ X2439 @ X2440) @ X2439)|(~(in @ X2442 @ X2439)|~(X2440 @ X2442)))&((X2440 @ (esk29_2 @ X2439 @ X2440))|(~(in @ X2442 @ X2439)|~(X2440 @ X2442))))&((((in @ (esk30_2 @ X2443 @ X2444) @ X2443)|(~(in @ X2445 @ X2443)|(X2444 @ X2445)))&(~(X2444 @ (esk30_2 @ X2443 @ X2444))|(~(in @ X2445 @ X2443)|(X2444 @ X2445))))&(((((X2447 @ (esk32_1 @ X2447))|((X2447 @ (esk31_2 @ X2447 @ X2448))|~(X2447 @ X2448)))&(~(X2447 @ X2451)|((esk32_1 @ X2447)=(X2451))|((X2447 @ (esk31_2 @ X2447 @ X2448))|~(X2447 @ X2448))))&(((X2447 @ (esk32_1 @ X2447))|(((X2448)!=(esk31_2 @ X2447 @ X2448))|~(X2447 @ X2448)))&(~(X2447 @ X2451)|((esk32_1 @ X2447)=(X2451))|(((X2448)!=(esk31_2 @ X2447 @ X2448))|~(X2447 @ X2448)))))&(((((X2452 @ (esk35_1 @ X2452))|(X2452 @ (esk33_1 @ X2452))|~(X2452 @ X2453))&(~(X2452 @ X2457)|((esk35_1 @ X2452)=(X2457))|(X2452 @ (esk33_1 @ X2452))|~(X2452 @ X2453)))&((((X2452 @ (esk35_1 @ X2452))|(X2452 @ (esk34_1 @ X2452))|~(X2452 @ X2453))&(~(X2452 @ X2457)|((esk35_1 @ X2452)=(X2457))|(X2452 @ (esk34_1 @ X2452))|~(X2452 @ X2453)))&(((X2452 @ (esk35_1 @ X2452))|((esk33_1 @ X2452)!=(esk34_1 @ X2452))|~(X2452 @ X2453))&(~(X2452 @ X2457)|((esk35_1 @ X2452)=(X2457))|((esk33_1 @ X2452)!=(esk34_1 @ X2452))|~(X2452 @ X2453)))))&(((((X2458 @ (esk37_1 @ X2458))|(~(X2458 @ (esk36_2 @ X2458 @ X2459))|((esk36_2 @ X2458 @ X2459)!=(X2459))))&(~(X2458 @ X2462)|((esk37_1 @ X2458)=(X2462))|(~(X2458 @ (esk36_2 @ X2458 @ X2459))|((esk36_2 @ X2458 @ X2459)!=(X2459)))))&(((X2458 @ (esk37_1 @ X2458))|((X2458 @ (esk36_2 @ X2458 @ X2459))|((esk36_2 @ X2458 @ X2459)=(X2459))))&(~(X2458 @ X2462)|((esk37_1 @ X2458)=(X2462))|((X2458 @ (esk36_2 @ X2458 @ X2459))|((esk36_2 @ X2458 @ X2459)=(X2459))))))&((((X2463)!=(X2464))|(((X2465)!=(X2466))|(~(in @ X2465 @ X2463)|(in @ X2466 @ X2464))))&(((~(in @ X2469 @ X2467)|(in @ X2470 @ X2468)|((X2469)!=(X2470))|((X2467)!=(X2468)))&(~(in @ X2470 @ X2468)|(in @ X2469 @ X2467)|((X2469)!=(X2470))|((X2467)!=(X2468))))&((((X2471 @ (esk38_2 @ X2471 @ X2472))|~(X2471 @ X2472)|(~(X2471 @ X2474)|(~(X2471 @ X2475)|((X2474)=(X2475)))))&(((X2472)!=(esk38_2 @ X2471 @ X2472))|~(X2471 @ X2472)|(~(X2471 @ X2474)|(~(X2471 @ X2475)|((X2474)=(X2475))))))&(((((((X2477 @ (esk42_2 @ X2476 @ X2477))|((X2476 @ (esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|((esk39_2 @ X2476 @ X2477)=(esk40_2 @ X2476 @ X2477)))&(~(X2477 @ X2483)|((esk42_2 @ X2476 @ X2477)=(X2483))|((X2476 @ (esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|((esk39_2 @ X2476 @ X2477)=(esk40_2 @ X2476 @ X2477))))&(((X2477 @ (esk42_2 @ X2476 @ X2477))|(((X2480)!=(esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|((esk39_2 @ X2476 @ X2477)=(esk40_2 @ X2476 @ X2477)))&(~(X2477 @ X2483)|((esk42_2 @ X2476 @ X2477)=(X2483))|(((X2480)!=(esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|((esk39_2 @ X2476 @ X2477)=(esk40_2 @ X2476 @ X2477)))))&((((X2476 @ (esk44_2 @ X2476 @ X2477))|((X2477 @ (esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|((esk39_2 @ X2476 @ X2477)=(esk40_2 @ X2476 @ X2477)))&(~(X2476 @ X2487)|((esk44_2 @ X2476 @ X2477)=(X2487))|((X2477 @ (esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|((esk39_2 @ X2476 @ X2477)=(esk40_2 @ X2476 @ X2477))))&(((X2476 @ (esk44_2 @ X2476 @ X2477))|(((X2484)!=(esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|((esk39_2 @ X2476 @ X2477)=(esk40_2 @ X2476 @ X2477)))&(~(X2476 @ X2487)|((esk44_2 @ X2476 @ X2477)=(X2487))|(((X2484)!=(esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|((esk39_2 @ X2476 @ X2477)=(esk40_2 @ X2476 @ X2477))))))&((((((X2477 @ (esk42_2 @ X2476 @ X2477))|((X2476 @ (esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|(~(X2476 @ (esk39_2 @ X2476 @ X2477))|~(X2477 @ (esk40_2 @ X2476 @ X2477))))&(~(X2477 @ X2483)|((esk42_2 @ X2476 @ X2477)=(X2483))|((X2476 @ (esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|(~(X2476 @ (esk39_2 @ X2476 @ X2477))|~(X2477 @ (esk40_2 @ X2476 @ X2477)))))&(((X2477 @ (esk42_2 @ X2476 @ X2477))|(((X2480)!=(esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|(~(X2476 @ (esk39_2 @ X2476 @ X2477))|~(X2477 @ (esk40_2 @ X2476 @ X2477))))&(~(X2477 @ X2483)|((esk42_2 @ X2476 @ X2477)=(X2483))|(((X2480)!=(esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|(~(X2476 @ (esk39_2 @ X2476 @ X2477))|~(X2477 @ (esk40_2 @ X2476 @ X2477))))))&((((X2476 @ (esk44_2 @ X2476 @ X2477))|((X2477 @ (esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|(~(X2476 @ (esk39_2 @ X2476 @ X2477))|~(X2477 @ (esk40_2 @ X2476 @ X2477))))&(~(X2476 @ X2487)|((esk44_2 @ X2476 @ X2477)=(X2487))|((X2477 @ (esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|(~(X2476 @ (esk39_2 @ X2476 @ X2477))|~(X2477 @ (esk40_2 @ X2476 @ X2477)))))&(((X2476 @ (esk44_2 @ X2476 @ X2477))|(((X2484)!=(esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|(~(X2476 @ (esk39_2 @ X2476 @ X2477))|~(X2477 @ (esk40_2 @ X2476 @ X2477))))&(~(X2476 @ X2487)|((esk44_2 @ X2476 @ X2477)=(X2487))|(((X2484)!=(esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|(~(X2476 @ (esk39_2 @ X2476 @ X2477))|~(X2477 @ (esk40_2 @ X2476 @ X2477)))))))&(((((X2477 @ (esk42_2 @ X2476 @ X2477))|((X2476 @ (esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|((X2476 @ (esk39_2 @ X2476 @ X2477))|(X2477 @ (esk40_2 @ X2476 @ X2477))))&(~(X2477 @ X2483)|((esk42_2 @ X2476 @ X2477)=(X2483))|((X2476 @ (esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|((X2476 @ (esk39_2 @ X2476 @ X2477))|(X2477 @ (esk40_2 @ X2476 @ X2477)))))&(((X2477 @ (esk42_2 @ X2476 @ X2477))|(((X2480)!=(esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|((X2476 @ (esk39_2 @ X2476 @ X2477))|(X2477 @ (esk40_2 @ X2476 @ X2477))))&(~(X2477 @ X2483)|((esk42_2 @ X2476 @ X2477)=(X2483))|(((X2480)!=(esk41_3 @ X2476 @ X2477 @ X2480))|~(X2476 @ X2480))|((X2476 @ (esk39_2 @ X2476 @ X2477))|(X2477 @ (esk40_2 @ X2476 @ X2477))))))&((((X2476 @ (esk44_2 @ X2476 @ X2477))|((X2477 @ (esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|((X2476 @ (esk39_2 @ X2476 @ X2477))|(X2477 @ (esk40_2 @ X2476 @ X2477))))&(~(X2476 @ X2487)|((esk44_2 @ X2476 @ X2477)=(X2487))|((X2477 @ (esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|((X2476 @ (esk39_2 @ X2476 @ X2477))|(X2477 @ (esk40_2 @ X2476 @ X2477)))))&(((X2476 @ (esk44_2 @ X2476 @ X2477))|(((X2484)!=(esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|((X2476 @ (esk39_2 @ X2476 @ X2477))|(X2477 @ (esk40_2 @ X2476 @ X2477))))&(~(X2476 @ X2487)|((esk44_2 @ X2476 @ X2477)=(X2487))|(((X2484)!=(esk43_3 @ X2476 @ X2477 @ X2484))|~(X2477 @ X2484))|((X2476 @ (esk39_2 @ X2476 @ X2477))|(X2477 @ (esk40_2 @ X2476 @ X2477)))))))))&(((emptyset)=(emptyset))&((((X2488)!=(X2489))|(((X2490)!=(X2491))|((setadjoin @ X2488 @ X2490)=(setadjoin @ X2489 @ X2491))))&((((X2492)!=(X2493))|((powerset @ X2492)=(powerset @ X2493)))&((((X2494)!=(X2495))|((setunion @ X2494)=(setunion @ X2495)))&(((omega)=(omega))&((((X2496 @ (esk45_2 @ X2496 @ X2497))|~(X2496 @ X2497)|(~(X2496 @ X2499)|(~(X2496 @ X2500)|((X2499)=(X2500)))))&(((X2497)!=(esk45_2 @ X2496 @ X2497))|~(X2496 @ X2497)|(~(X2496 @ X2499)|(~(X2496 @ X2500)|((X2499)=(X2500))))))&((((((X2502 @ (esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|((X2501 @ (esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|((esk46_2 @ X2501 @ X2502)=(esk47_2 @ X2501 @ X2502)))&(((X2507)!=(esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|((X2501 @ (esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|((esk46_2 @ X2501 @ X2502)=(esk47_2 @ X2501 @ X2502))))&(((X2502 @ (esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|(((X2505)!=(esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|((esk46_2 @ X2501 @ X2502)=(esk47_2 @ X2501 @ X2502)))&(((X2507)!=(esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|(((X2505)!=(esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|((esk46_2 @ X2501 @ X2502)=(esk47_2 @ X2501 @ X2502)))))&(((((X2502 @ (esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|((X2501 @ (esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|(~(X2501 @ (esk46_2 @ X2501 @ X2502))|~(X2502 @ (esk47_2 @ X2501 @ X2502))))&(((X2507)!=(esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|((X2501 @ (esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|(~(X2501 @ (esk46_2 @ X2501 @ X2502))|~(X2502 @ (esk47_2 @ X2501 @ X2502)))))&(((X2502 @ (esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|(((X2505)!=(esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|(~(X2501 @ (esk46_2 @ X2501 @ X2502))|~(X2502 @ (esk47_2 @ X2501 @ X2502))))&(((X2507)!=(esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|(((X2505)!=(esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|(~(X2501 @ (esk46_2 @ X2501 @ X2502))|~(X2502 @ (esk47_2 @ X2501 @ X2502))))))&((((X2502 @ (esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|((X2501 @ (esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|((X2501 @ (esk46_2 @ X2501 @ X2502))|(X2502 @ (esk47_2 @ X2501 @ X2502))))&(((X2507)!=(esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|((X2501 @ (esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|((X2501 @ (esk46_2 @ X2501 @ X2502))|(X2502 @ (esk47_2 @ X2501 @ X2502)))))&(((X2502 @ (esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|(((X2505)!=(esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|((X2501 @ (esk46_2 @ X2501 @ X2502))|(X2502 @ (esk47_2 @ X2501 @ X2502))))&(((X2507)!=(esk49_3 @ X2501 @ X2502 @ X2507))|~(X2502 @ X2507)|((descr @ X2501)=(descr @ X2502))|(((X2505)!=(esk48_3 @ X2501 @ X2502 @ X2505))|~(X2501 @ X2505))|((X2501 @ (esk46_2 @ X2501 @ X2502))|(X2502 @ (esk47_2 @ X2501 @ X2502))))))))&((((in @ (esk50_4 @ X2509 @ X2510 @ X2511 @ X2512) @ X2509)|((dsetconstr @ X2509 @ X2511)=(dsetconstr @ X2510 @ X2512))|((X2509)!=(X2510)))&(((in @ (esk51_4 @ X2509 @ X2510 @ X2511 @ X2512) @ X2510)|((dsetconstr @ X2509 @ X2511)=(dsetconstr @ X2510 @ X2512))|((X2509)!=(X2510)))&((((esk50_4 @ X2509 @ X2510 @ X2511 @ X2512)=(esk51_4 @ X2509 @ X2510 @ X2511 @ X2512))|((dsetconstr @ X2509 @ X2511)=(dsetconstr @ X2510 @ X2512))|((X2509)!=(X2510)))&((~(X2511 @ (esk50_4 @ X2509 @ X2510 @ X2511 @ X2512))|~(X2512 @ (esk51_4 @ X2509 @ X2510 @ X2511 @ X2512))|((dsetconstr @ X2509 @ X2511)=(dsetconstr @ X2510 @ X2512))|((X2509)!=(X2510)))&((X2511 @ (esk50_4 @ X2509 @ X2510 @ X2511 @ X2512))|(X2512 @ (esk51_4 @ X2509 @ X2510 @ X2511 @ X2512))|((dsetconstr @ X2509 @ X2511)=(dsetconstr @ X2510 @ X2512))|((X2509)!=(X2510)))))))&((((in @ (esk52_2 @ X2515 @ X2516) @ X2515)|(subset @ X2515 @ X2516))&(~(in @ (esk52_2 @ X2515 @ X2516) @ X2516)|(subset @ X2515 @ X2516)))&((((X2518)!=(X2519))|(subset @ X2519 @ X2518))&((((X2520)!=(X2521))|(subset @ X2520 @ X2521))&((((in @ (esk53_2 @ X2522 @ X2523) @ X2522)|(subset @ X2522 @ X2523))&(~(in @ (esk53_2 @ X2522 @ X2523) @ X2523)|(subset @ X2522 @ X2523)))&((subset @ emptyset @ X2525)&((~(subset @ X2526 @ X2527)|(~(in @ X2528 @ X2526)|(in @ X2528 @ X2527)))&((~(subset @ X2529 @ X2530)|((in @ X2531 @ X2530)|~(in @ X2531 @ X2529)))&((~(in @ X2534 @ X2532)|((in @ X2534 @ X2533)|~(subset @ X2532 @ X2533)))&(((subset @ X2535 @ X2536)|((X2535)!=(X2536)))&((~(in @ X2539 @ X2537)|((in @ X2539 @ X2538)|((X2537)!=(X2538))))&((subset @ X2540 @ X2540)&((~(subset @ X2541 @ X2542)|(~(subset @ X2542 @ X2543)|(subset @ X2541 @ X2543)))&((subset @ X2545 @ (setadjoin @ X2544 @ X2545))&((~(subset @ X2546 @ X2548)|(subset @ X2546 @ (setadjoin @ X2547 @ X2548)))&((~(subset @ X2549 @ X2550)|(in @ X2549 @ (powerset @ X2550)))&((~(subset @ X2551 @ X2552)|(~(subset @ X2552 @ X2551)|((X2551)=(X2552))))&((~(subset @ X2553 @ emptyset)|((X2553)=(emptyset)))&((~(subset @ X2555 @ X2554)|(in @ X2555 @ (powerset @ X2554)))&((~(in @ X2557 @ (powerset @ X2556))|(subset @ X2557 @ X2556))&((in @ X2558 @ (powerset @ X2558))&((~(subset @ X2559 @ X2560)|(subset @ (powerset @ X2559) @ (powerset @ X2560)))&((in @ (dsetconstr @ X2561 @ X2562) @ (powerset @ X2561))&((subset @ (dsetconstr @ X2563 @ X2564) @ X2563)&((~(in @ X2567 @ X2565)|(in @ X2567 @ (binunion @ X2565 @ X2566)))&((in @ X2569 @ (setadjoin @ X2568 @ (setadjoin @ X2569 @ emptyset)))&((~(in @ X2572 @ X2571)|(in @ X2572 @ (binunion @ X2570 @ X2571)))&(((((in @ X2575 @ X2574)|(X2576)|(in @ X2575 @ X2573)|~(in @ X2575 @ (binunion @ X2573 @ X2574)))&(~(X2576)|(X2576)|(in @ X2575 @ X2573)|~(in @ X2575 @ (binunion @ X2573 @ X2574))))&(((in @ X2575 @ X2574)|(X2576)|~(X2576)|~(in @ X2575 @ (binunion @ X2573 @ X2574)))&(~(X2576)|(X2576)|~(X2576)|~(in @ X2575 @ (binunion @ X2573 @ X2574)))))&((~(in @ X2579 @ (binunion @ X2577 @ X2578))|((in @ X2579 @ X2577)|(in @ X2579 @ X2578)))&((subset @ X2580 @ (binunion @ X2580 @ X2581))&((subset @ X2583 @ (binunion @ X2582 @ X2583))&((~(in @ X2586 @ X2584)|(~(in @ X2586 @ X2585)|(in @ X2586 @ (binintersect @ X2584 @ X2585))))&((~(subset @ X2589 @ X2587)|(~(subset @ X2589 @ X2588)|(subset @ X2589 @ (binintersect @ X2587 @ X2588))))&((~(in @ X2592 @ (binintersect @ X2590 @ X2591))|(in @ X2592 @ X2590))&((subset @ (binintersect @ X2593 @ X2594) @ X2593)&((~(subset @ X2595 @ X2596)|((binintersect @ X2595 @ X2596)=(X2595)))&((((binintersect @ X2597 @ X2598)!=(X2598))|(subset @ X2598 @ X2597))&((~(in @ X2601 @ (binintersect @ X2599 @ X2600))|(in @ X2601 @ X2600))&((((in @ (esk54_2 @ X2602 @ X2603) @ X2602)|((binintersect @ X2602 @ X2603)=(emptyset)))&((in @ (esk54_2 @ X2602 @ X2603) @ X2603)|((binintersect @ X2602 @ X2603)=(emptyset))))&((subset @ (binintersect @ X2605 @ X2606) @ X2606)&((~(subset @ X2608 @ X2607)|((binintersect @ X2607 @ X2608)=(X2608)))&((((binintersect @ X2609 @ X2610)!=(X2609))|(subset @ X2609 @ X2610))&(((binintersect @ X2611 @ (binunion @ X2612 @ X2613))=(binunion @ (binintersect @ X2611 @ X2612) @ (binintersect @ X2611 @ X2613)))&((~(in @ X2616 @ X2614)|((in @ X2616 @ X2615)|(in @ X2616 @ (setminus @ X2614 @ X2615))))&((~(in @ X2619 @ (setminus @ X2617 @ X2618))|(in @ X2619 @ X2617))&((~(in @ X2622 @ (setminus @ X2620 @ X2621))|~(in @ X2622 @ X2621))&((~(subset @ X2623 @ X2624)|((setminus @ X2623 @ X2624)=(emptyset)))&(((in @ X2627 @ (setminus @ X2625 @ X2626))|(~(in @ X2627 @ X2625)|(in @ X2627 @ X2626)))&(((in @ X2630 @ (setminus @ X2628 @ X2629))|((in @ X2630 @ X2629)|~(in @ X2630 @ X2628)))&(((in @ X2633 @ X2631)|~(in @ X2633 @ (setminus @ X2631 @ X2632)))&((~(in @ X2636 @ X2635)|~(in @ X2636 @ (setminus @ X2634 @ X2635)))&((subset @ (setminus @ X2637 @ X2638) @ X2637)&((((setminus @ X2639 @ X2640)!=(emptyset))|(subset @ X2639 @ X2640))&((((~(in @ X2643 @ X2641)|(X2644)|(in @ X2643 @ X2641)|~(in @ X2643 @ (symdiff @ X2641 @ X2642)))&(((in @ X2643 @ X2642)|(X2644)|(in @ X2643 @ X2641)|~(in @ X2643 @ (symdiff @ X2641 @ X2642)))&(~(X2644)|(X2644)|(in @ X2643 @ X2641)|~(in @ X2643 @ (symdiff @ X2641 @ X2642)))))&(((~(in @ X2643 @ X2641)|(X2644)|~(in @ X2643 @ X2642)|~(in @ X2643 @ (symdiff @ X2641 @ X2642)))&(((in @ X2643 @ X2642)|(X2644)|~(in @ X2643 @ X2642)|~(in @ X2643 @ (symdiff @ X2641 @ X2642)))&(~(X2644)|(X2644)|~(in @ X2643 @ X2642)|~(in @ X2643 @ (symdiff @ X2641 @ X2642)))))&((~(in @ X2643 @ X2641)|(X2644)|~(X2644)|~(in @ X2643 @ (symdiff @ X2641 @ X2642)))&(((in @ X2643 @ X2642)|(X2644)|~(X2644)|~(in @ X2643 @ (symdiff @ X2641 @ X2642)))&(~(X2644)|(X2644)|~(X2644)|~(in @ X2643 @ (symdiff @ X2641 @ X2642)))))))&((~(in @ X2647 @ X2645)|((in @ X2647 @ X2646)|(in @ X2647 @ (symdiff @ X2645 @ X2646))))&(((in @ X2650 @ X2648)|(~(in @ X2650 @ X2649)|(in @ X2650 @ (symdiff @ X2648 @ X2649))))&((~(in @ X2653 @ X2651)|(~(in @ X2653 @ X2652)|~(in @ X2653 @ (symdiff @ X2651 @ X2652))))&(((in @ X2656 @ X2654)|((in @ X2656 @ X2655)|~(in @ X2656 @ (symdiff @ X2654 @ X2655))))&((in @ X2658 @ (setadjoin @ X2657 @ (setadjoin @ X2658 @ emptyset)))&((in @ X2659 @ (setunion @ (setadjoin @ (setadjoin @ X2659 @ emptyset) @ (setadjoin @ (setadjoin @ X2659 @ (setadjoin @ X2660 @ emptyset)) @ emptyset))))&((in @ X2662 @ (setunion @ (setadjoin @ (setadjoin @ X2661 @ emptyset) @ (setadjoin @ (setadjoin @ X2661 @ (setadjoin @ X2662 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X2663 @ emptyset) @ (setadjoin @ (setadjoin @ X2663 @ (setadjoin @ X2664 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X2665 @ X2666))&((~(in @ X2668 @ X2667)|(subset @ (setadjoin @ X2668 @ emptyset) @ X2667))&((~(in @ X2670 @ X2669)|(in @ (setadjoin @ X2670 @ emptyset) @ (powerset @ X2669)))&((~(in @ X2673 @ X2671)|(in @ (setadjoin @ X2673 @ emptyset) @ (powerset @ (binunion @ X2671 @ X2672))))&((~(in @ X2676 @ (setadjoin @ X2674 @ (setadjoin @ X2675 @ emptyset)))|(((X2676)=(X2674))|((X2676)=(X2675))))&((~(in @ X2679 @ X2677)|(~(in @ X2680 @ X2678)|(subset @ (setadjoin @ X2679 @ (setadjoin @ X2680 @ emptyset)) @ (binunion @ X2677 @ X2678))))&((~(in @ X2683 @ X2681)|(~(in @ X2684 @ X2682)|(in @ (setadjoin @ X2683 @ (setadjoin @ X2684 @ emptyset)) @ (powerset @ (binunion @ X2681 @ X2682)))))&((~(in @ X2687 @ X2685)|(~(in @ X2688 @ X2686)|(subset @ (setadjoin @ (setadjoin @ X2687 @ emptyset) @ (setadjoin @ (setadjoin @ X2687 @ (setadjoin @ X2688 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X2685 @ X2686)))))&((~(in @ X2691 @ X2689)|(~(in @ X2692 @ X2690)|(in @ (setadjoin @ (setadjoin @ X2691 @ emptyset) @ (setadjoin @ (setadjoin @ X2691 @ (setadjoin @ X2692 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X2689 @ X2690))))))&((~(in @ X2695 @ X2693)|(~(in @ X2696 @ X2694)|(in @ (kpair @ X2695 @ X2696) @ (powerset @ (powerset @ (binunion @ X2693 @ X2694))))))&((~(in @ X2699 @ X2697)|(~(in @ X2700 @ X2698)|(in @ (kpair @ X2699 @ X2700) @ (cartprod @ X2697 @ X2698))))&((((in @ (esk55_3 @ X2701 @ X2702 @ X2703) @ X2701)|~(in @ X2703 @ (cartprod @ X2701 @ X2702)))&(((in @ (esk56_3 @ X2701 @ X2702 @ X2703) @ X2702)|~(in @ X2703 @ (cartprod @ X2701 @ X2702)))&(((X2703)=(kpair @ (esk55_3 @ X2701 @ X2702 @ X2703) @ (esk56_3 @ X2701 @ X2702 @ X2703)))|~(in @ X2703 @ (cartprod @ X2701 @ X2702)))))&((~(in @ X2708 @ (cartprod @ X2706 @ X2707))|(iskpair @ X2708))&((((in @ (esk57_2 @ X2709 @ X2710) @ X2709)|~(in @ X2710 @ (setunion @ X2709)))&((in @ X2710 @ (esk57_2 @ X2709 @ X2710))|~(in @ X2710 @ (setunion @ X2709))))&((subset @ (setunion @ (setadjoin @ X2712 @ emptyset)) @ X2712)&((subset @ X2713 @ (setunion @ (setadjoin @ X2713 @ emptyset)))&(((setunion @ (setadjoin @ X2714 @ emptyset))=(X2714))&((((in @ (esk58_2 @ X2715 @ X2716) @ X2715)|(~(in @ X2719 @ X2715)|~(X2716 @ X2719)|(singleton @ (dsetconstr @ X2715 @ X2716))))&(((in @ (esk59_2 @ X2715 @ X2716) @ X2715)|(~(in @ X2719 @ X2715)|~(X2716 @ X2719)|(singleton @ (dsetconstr @ X2715 @ X2716))))&(((X2716 @ (esk58_2 @ X2715 @ X2716))|(~(in @ X2719 @ X2715)|~(X2716 @ X2719)|(singleton @ (dsetconstr @ X2715 @ X2716))))&(((X2716 @ (esk59_2 @ X2715 @ X2716))|(~(in @ X2719 @ X2715)|~(X2716 @ X2719)|(singleton @ (dsetconstr @ X2715 @ X2716))))&(((esk58_2 @ X2715 @ X2716)!=(esk59_2 @ X2715 @ X2716))|(~(in @ X2719 @ X2715)|~(X2716 @ X2719)|(singleton @ (dsetconstr @ X2715 @ X2716))))))))&((((in @ (esk60_2 @ X2720 @ X2721) @ X2720)|~(ex1 @ X2720 @ X2721))&((X2721 @ (esk60_2 @ X2720 @ X2721))|~(ex1 @ X2720 @ X2721)))&((((in @ (esk61_3 @ X2723 @ X2724 @ X2725) @ X2723)|(ex1 @ X2723 @ X2724)|~(X2724 @ X2725)|~(in @ X2725 @ X2723))&(((X2724 @ (esk61_3 @ X2723 @ X2724 @ X2725))|(ex1 @ X2723 @ X2724)|~(X2724 @ X2725)|~(in @ X2725 @ X2723))&(((esk61_3 @ X2723 @ X2724 @ X2725)!=(X2725))|(ex1 @ X2723 @ X2724)|~(X2724 @ X2725)|~(in @ X2725 @ X2723))))&((((in @ (esk62_2 @ X2727 @ X2728) @ X2727)|(~(in @ X2731 @ X2727)|~(X2728 @ X2731)|(ex1 @ X2727 @ X2728)))&(((in @ (esk63_2 @ X2727 @ X2728) @ X2727)|(~(in @ X2731 @ X2727)|~(X2728 @ X2731)|(ex1 @ X2727 @ X2728)))&(((X2728 @ (esk62_2 @ X2727 @ X2728))|(~(in @ X2731 @ X2727)|~(X2728 @ X2731)|(ex1 @ X2727 @ X2728)))&(((X2728 @ (esk63_2 @ X2727 @ X2728))|(~(in @ X2731 @ X2727)|~(X2728 @ X2731)|(ex1 @ X2727 @ X2728)))&(((esk62_2 @ X2727 @ X2728)!=(esk63_2 @ X2727 @ X2728))|(~(in @ X2731 @ X2727)|~(X2728 @ X2731)|(ex1 @ X2727 @ X2728)))))))&((((setadjoin @ X2732 @ emptyset)!=(setadjoin @ X2733 @ emptyset))|((X2732)=(X2733)))&((~(in @ (setadjoin @ X2736 @ emptyset) @ (setadjoin @ (setadjoin @ X2734 @ emptyset) @ (setadjoin @ (setadjoin @ X2734 @ (setadjoin @ X2735 @ emptyset)) @ emptyset)))|((X2734)=(X2736)))&((~(iskpair @ X2737)|(singleton @ (dsetconstr @ (setunion @ X2737) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X2737))))))&((~(singleton @ X2738)|(in @ (setunion @ X2738) @ X2738))&(((kfst @ (kpair @ X2739 @ X2740))=(X2739))&((~(in @ X2743 @ (cartprod @ X2741 @ X2742))|(in @ (kfst @ X2743) @ X2741))&((((setadjoin @ (setadjoin @ X2744 @ emptyset) @ (setadjoin @ (setadjoin @ X2744 @ (setadjoin @ X2745 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2746 @ emptyset) @ (setadjoin @ (setadjoin @ X2746 @ (setadjoin @ X2747 @ emptyset)) @ emptyset)))|((X2744)=(X2746)))&((((kpair @ X2748 @ X2749)!=(kpair @ X2750 @ X2751))|((X2748)=(X2750)))&((((X2752)!=(X2753))|((setadjoin @ X2752 @ (setadjoin @ X2753 @ emptyset))=(setadjoin @ X2752 @ emptyset)))&((((X2754)!=(X2755))|((setadjoin @ (setadjoin @ X2754 @ emptyset) @ (setadjoin @ (setadjoin @ X2754 @ (setadjoin @ X2755 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2754 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X2756 @ emptyset) @ (setadjoin @ (setadjoin @ X2756 @ (setadjoin @ X2757 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2758 @ emptyset) @ (setadjoin @ (setadjoin @ X2758 @ (setadjoin @ X2759 @ emptyset)) @ emptyset)))|(((X2758)!=(X2759))|((X2757)=(X2759))))&((((setadjoin @ X2760 @ (setadjoin @ X2761 @ emptyset))!=(setadjoin @ X2762 @ emptyset))|((X2760)=(X2761)))&((((setadjoin @ (setadjoin @ X2763 @ emptyset) @ (setadjoin @ (setadjoin @ X2763 @ (setadjoin @ X2764 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2765 @ emptyset) @ (setadjoin @ (setadjoin @ X2765 @ (setadjoin @ X2766 @ emptyset)) @ emptyset)))|((X2764)=(X2766)))&((((kpair @ X2767 @ X2768)!=(kpair @ X2769 @ X2770))|((X2768)=(X2770)))&((~(iskpair @ X2771)|(singleton @ (dsetconstr @ (setunion @ X2771) @ (^[Z0:$i]:(((X2771)=(kpair @ (kfst @ X2771) @ Z0)))))))&(((ksnd @ (kpair @ X2772 @ X2773))=(X2773))&((~(iskpair @ X2774)|((kpair @ (kfst @ X2774) @ (ksnd @ X2774))=(X2774)))&((~(in @ X2777 @ (cartprod @ X2775 @ X2776))|(in @ (ksnd @ X2777) @ X2776))&((~(in @ (kpair @ X2780 @ X2781) @ (cartprod @ X2778 @ X2779))|(in @ X2780 @ X2778))&((~(in @ (kpair @ X2784 @ X2785) @ (cartprod @ X2782 @ X2783))|(in @ X2785 @ X2783))&((~(in @ X2788 @ X2786)|(~(in @ X2789 @ X2787)|((kpair @ X2788 @ X2789)=(kpair @ X2788 @ X2789))))&((~(in @ X2792 @ X2790)|(~(in @ X2793 @ X2791)|((kfst @ (kpair @ X2792 @ X2793))=(X2792))))&((~(in @ X2796 @ X2794)|(~(in @ X2797 @ X2795)|((ksnd @ (kpair @ X2796 @ X2797))=(X2797))))&((~(in @ X2800 @ (cartprod @ X2798 @ X2799))|((kpair @ (kfst @ X2800) @ (ksnd @ X2800))=(X2800)))&((~(in @ X2804 @ X2801)|(~(in @ X2805 @ X2802)|(~(X2803 @ X2804 @ X2805)|(in @ (kpair @ X2804 @ X2805) @ (dpsetconstr @ X2801 @ X2802 @ X2803)))))&((subset @ (dpsetconstr @ X2806 @ X2807 @ X2808) @ (cartprod @ X2806 @ X2807))&((breln @ X2809 @ X2810 @ (dpsetconstr @ X2809 @ X2810 @ X2811))&((~(in @ X2815 @ X2812)|(~(in @ X2816 @ X2813)|(~(in @ (kpair @ X2815 @ X2816) @ (dpsetconstr @ X2812 @ X2813 @ X2814))|(X2814 @ X2815 @ X2816))))&((~(in @ (kpair @ X2820 @ X2821) @ (dpsetconstr @ X2817 @ X2818 @ X2819))|(in @ X2820 @ X2817))&((~(in @ (kpair @ X2825 @ X2826) @ (dpsetconstr @ X2822 @ X2823 @ X2824))|(in @ X2826 @ X2823))&((~(in @ (kpair @ X2830 @ X2831) @ (dpsetconstr @ X2827 @ X2828 @ X2829))|(X2829 @ X2830 @ X2831))&((~(func @ X2832 @ X2833 @ X2834)|(~(in @ X2835 @ X2832)|(singleton @ (dsetconstr @ X2833 @ (^[Z0:$i]:((in @ (kpair @ X2835 @ Z0) @ X2834)))))))&((~(func @ X2836 @ X2837 @ X2838)|(~(in @ X2839 @ X2836)|(in @ (setunion @ (dsetconstr @ X2837 @ (^[Z0:$i]:((in @ (kpair @ X2839 @ Z0) @ X2838))))) @ X2837)))&((~(func @ X2840 @ X2841 @ X2842)|(~(in @ X2843 @ X2840)|(in @ (ap @ X2840 @ X2841 @ X2842 @ X2843) @ X2841)))&((~(in @ X2846 @ (funcSet @ X2844 @ X2845))|(func @ X2844 @ X2845 @ X2846))&((~(in @ X2849 @ (funcSet @ X2847 @ X2848))|(~(in @ X2850 @ X2847)|(in @ (ap @ X2847 @ X2848 @ X2849 @ X2850) @ X2848)))&((~(func @ X2851 @ X2852 @ X2853)|(in @ X2853 @ (funcSet @ X2851 @ X2852)))&((((in @ (esk64_3 @ X2854 @ X2855 @ X2856) @ X2854)|(func @ X2854 @ X2855 @ (dpsetconstr @ X2854 @ X2855 @ (^[Z0:$i]:($eq @ (X2856 @ Z0))))))&(~(in @ (X2856 @ (esk64_3 @ X2854 @ X2855 @ X2856)) @ X2855)|(func @ X2854 @ X2855 @ (dpsetconstr @ X2854 @ X2855 @ (^[Z0:$i]:($eq @ (X2856 @ Z0)))))))&((((in @ (esk65_3 @ X2858 @ X2859 @ X2860) @ X2858)|(func @ X2858 @ X2859 @ (lam @ X2858 @ X2859 @ X2860)))&(~(in @ (X2860 @ (esk65_3 @ X2858 @ X2859 @ X2860)) @ X2859)|(func @ X2858 @ X2859 @ (lam @ X2858 @ X2859 @ X2860))))&((((in @ (esk66_3 @ X2862 @ X2863 @ X2864) @ X2862)|(in @ (lam @ X2862 @ X2863 @ X2864) @ (funcSet @ X2862 @ X2863)))&(~(in @ (X2864 @ (esk66_3 @ X2862 @ X2863 @ X2864)) @ X2863)|(in @ (lam @ X2862 @ X2863 @ X2864) @ (funcSet @ X2862 @ X2863))))&((((in @ (esk67_4 @ X2866 @ X2867 @ X2868 @ X2869) @ X2866)|(~(in @ X2872 @ X2868)|(X2869 @ X2872))|~(breln @ X2866 @ X2867 @ X2868))&(((in @ (esk68_4 @ X2866 @ X2867 @ X2868 @ X2869) @ X2867)|(~(in @ X2872 @ X2868)|(X2869 @ X2872))|~(breln @ X2866 @ X2867 @ X2868))&(((in @ (kpair @ (esk67_4 @ X2866 @ X2867 @ X2868 @ X2869) @ (esk68_4 @ X2866 @ X2867 @ X2868 @ X2869)) @ X2868)|(~(in @ X2872 @ X2868)|(X2869 @ X2872))|~(breln @ X2866 @ X2867 @ X2868))&(~(X2869 @ (kpair @ (esk67_4 @ X2866 @ X2867 @ X2868 @ X2869) @ (esk68_4 @ X2866 @ X2867 @ X2868 @ X2869)))|(~(in @ X2872 @ X2868)|(X2869 @ X2872))|~(breln @ X2866 @ X2867 @ X2868)))))&((((in @ (esk69_4 @ X2873 @ X2874 @ X2875 @ X2876) @ X2873)|(~(in @ X2879 @ X2875)|(X2876 @ X2879))|~(breln @ X2873 @ X2874 @ X2875))&(((in @ (esk70_4 @ X2873 @ X2874 @ X2875 @ X2876) @ X2874)|(~(in @ X2879 @ X2875)|(X2876 @ X2879))|~(breln @ X2873 @ X2874 @ X2875))&(((in @ (kpair @ (esk69_4 @ X2873 @ X2874 @ X2875 @ X2876) @ (esk70_4 @ X2873 @ X2874 @ X2875 @ X2876)) @ X2875)|(~(in @ X2879 @ X2875)|(X2876 @ X2879))|~(breln @ X2873 @ X2874 @ X2875))&(~(X2876 @ (kpair @ (esk69_4 @ X2873 @ X2874 @ X2875 @ X2876) @ (esk70_4 @ X2873 @ X2874 @ X2875 @ X2876)))|(~(in @ X2879 @ X2875)|(X2876 @ X2879))|~(breln @ X2873 @ X2874 @ X2875)))))&((~(ex1 @ X2880 @ X2881)|(~(in @ X2882 @ X2880)|(~(in @ X2883 @ X2880)|(~(X2881 @ X2882)|(~(X2881 @ X2883)|((X2882)=(X2883)))))))&((~(func @ X2884 @ X2885 @ X2886)|(~(in @ X2887 @ X2884)|(in @ (kpair @ X2887 @ (ap @ X2884 @ X2885 @ X2886 @ X2887)) @ X2886)))&((~(in @ X2890 @ (funcSet @ X2888 @ X2889))|(~(in @ X2891 @ X2888)|(in @ (kpair @ X2891 @ (ap @ X2888 @ X2889 @ X2890 @ X2891)) @ X2890)))&((~(func @ X2892 @ X2893 @ X2894)|(~(in @ X2895 @ X2892)|(~(in @ X2896 @ X2893)|(~(in @ (kpair @ X2895 @ X2896) @ X2894)|((ap @ X2892 @ X2893 @ X2894 @ X2895)=(X2896))))))&((((in @ (esk71_4 @ X2897 @ X2898 @ X2899 @ X2900) @ X2897)|(~(in @ X2902 @ X2897)|(~(in @ X2903 @ X2898)|(~(in @ (kpair @ X2902 @ X2903) @ X2900)|(in @ (kpair @ X2902 @ X2903) @ X2899))))|~(func @ X2897 @ X2898 @ X2900)|~(func @ X2897 @ X2898 @ X2899))&(((ap @ X2897 @ X2898 @ X2899 @ (esk71_4 @ X2897 @ X2898 @ X2899 @ X2900))!=(ap @ X2897 @ X2898 @ X2900 @ (esk71_4 @ X2897 @ X2898 @ X2899 @ X2900)))|(~(in @ X2902 @ X2897)|(~(in @ X2903 @ X2898)|(~(in @ (kpair @ X2902 @ X2903) @ X2900)|(in @ (kpair @ X2902 @ X2903) @ X2899))))|~(func @ X2897 @ X2898 @ X2900)|~(func @ X2897 @ X2898 @ X2899)))&((~(in @ X2906 @ (funcSet @ X2904 @ X2905))|(~(in @ X2907 @ X2904)|(~(in @ X2908 @ X2905)|(~(in @ (kpair @ X2907 @ X2908) @ X2906)|((ap @ X2904 @ X2905 @ X2906 @ X2907)=(X2908))))))&((((in @ (esk72_4 @ X2909 @ X2910 @ X2911 @ X2912) @ X2909)|(subset @ X2911 @ X2912)|~(breln @ X2909 @ X2910 @ X2912)|~(breln @ X2909 @ X2910 @ X2911))&(((in @ (esk73_4 @ X2909 @ X2910 @ X2911 @ X2912) @ X2910)|(subset @ X2911 @ X2912)|~(breln @ X2909 @ X2910 @ X2912)|~(breln @ X2909 @ X2910 @ X2911))&(((in @ (kpair @ (esk72_4 @ X2909 @ X2910 @ X2911 @ X2912) @ (esk73_4 @ X2909 @ X2910 @ X2911 @ X2912)) @ X2911)|(subset @ X2911 @ X2912)|~(breln @ X2909 @ X2910 @ X2912)|~(breln @ X2909 @ X2910 @ X2911))&(~(in @ (kpair @ (esk72_4 @ X2909 @ X2910 @ X2911 @ X2912) @ (esk73_4 @ X2909 @ X2910 @ X2911 @ X2912)) @ X2912)|(subset @ X2911 @ X2912)|~(breln @ X2909 @ X2910 @ X2912)|~(breln @ X2909 @ X2910 @ X2911)))))&(((((in @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2915)|((X2917)=(X2918))|(in @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2915)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(((in @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2916)|((X2917)=(X2918))|(in @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2915)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(((in @ (kpair @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2918)|((X2917)=(X2918))|(in @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2915)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(~(in @ (kpair @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2917)|((X2917)=(X2918))|(in @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2915)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917)))))&((((in @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2915)|((X2917)=(X2918))|(in @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2916)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(((in @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2916)|((X2917)=(X2918))|(in @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2916)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(((in @ (kpair @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2918)|((X2917)=(X2918))|(in @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2916)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(~(in @ (kpair @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2917)|((X2917)=(X2918))|(in @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2916)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917)))))&((((in @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2915)|((X2917)=(X2918))|(in @ (kpair @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2917)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(((in @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2916)|((X2917)=(X2918))|(in @ (kpair @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2917)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(((in @ (kpair @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2918)|((X2917)=(X2918))|(in @ (kpair @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2917)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(~(in @ (kpair @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2917)|((X2917)=(X2918))|(in @ (kpair @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2917)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917)))))&(((in @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2915)|((X2917)=(X2918))|~(in @ (kpair @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2918)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(((in @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918) @ X2916)|((X2917)=(X2918))|~(in @ (kpair @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2918)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(((in @ (kpair @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2918)|((X2917)=(X2918))|~(in @ (kpair @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2918)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))&(~(in @ (kpair @ (esk76_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk77_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2917)|((X2917)=(X2918))|~(in @ (kpair @ (esk74_4 @ X2915 @ X2916 @ X2917 @ X2918) @ (esk75_4 @ X2915 @ X2916 @ X2917 @ X2918)) @ X2918)|~(breln @ X2915 @ X2916 @ X2918)|~(breln @ X2915 @ X2916 @ X2917))))))))&((((in @ (esk78_4 @ X2923 @ X2924 @ X2925 @ X2926) @ X2923)|((X2925)=(X2926))|~(func @ X2923 @ X2924 @ X2926)|~(func @ X2923 @ X2924 @ X2925))&(((ap @ X2923 @ X2924 @ X2925 @ (esk78_4 @ X2923 @ X2924 @ X2925 @ X2926))!=(ap @ X2923 @ X2924 @ X2926 @ (esk78_4 @ X2923 @ X2924 @ X2925 @ X2926)))|((X2925)=(X2926))|~(func @ X2923 @ X2924 @ X2926)|~(func @ X2923 @ X2924 @ X2925)))&((((in @ (esk79_4 @ X2928 @ X2929 @ X2930 @ X2931) @ X2928)|((X2930)=(X2931))|~(in @ X2931 @ (funcSet @ X2928 @ X2929))|~(in @ X2930 @ (funcSet @ X2928 @ X2929)))&(((ap @ X2928 @ X2929 @ X2930 @ (esk79_4 @ X2928 @ X2929 @ X2930 @ X2931))!=(ap @ X2928 @ X2929 @ X2931 @ (esk79_4 @ X2928 @ X2929 @ X2930 @ X2931)))|((X2930)=(X2931))|~(in @ X2931 @ (funcSet @ X2928 @ X2929))|~(in @ X2930 @ (funcSet @ X2928 @ X2929))))&((~(in @ X2935 @ (funcSet @ X2933 @ X2934))|(~(in @ X2936 @ X2933)|((ap @ X2933 @ X2934 @ X2935 @ X2936)=(ap @ X2933 @ X2934 @ X2935 @ X2936))))&((~(func @ X2937 @ X2938 @ X2939)|(~(in @ X2940 @ X2937)|((ap @ X2937 @ X2938 @ X2939 @ X2940)=(ap @ X2937 @ X2938 @ X2939 @ X2940))))&((((in @ (esk80_3 @ X2941 @ X2942 @ X2943) @ X2941)|(~(in @ X2945 @ X2941)|((ap @ X2941 @ X2942 @ (lam @ X2941 @ X2942 @ X2943) @ X2945)=(X2943 @ X2945))))&(~(in @ (X2943 @ (esk80_3 @ X2941 @ X2942 @ X2943)) @ X2942)|(~(in @ X2945 @ X2941)|((ap @ X2941 @ X2942 @ (lam @ X2941 @ X2942 @ X2943) @ X2945)=(X2943 @ X2945)))))&((~(func @ X2946 @ X2947 @ X2948)|((lam @ X2946 @ X2947 @ (ap @ X2946 @ X2947 @ X2948))=(X2948)))&((((in @ (esk81_3 @ X2949 @ X2950 @ X2951) @ X2949)|((lam @ X2949 @ X2950 @ X2951)=(lam @ X2949 @ X2950 @ X2951)))&(~(in @ (X2951 @ (esk81_3 @ X2949 @ X2950 @ X2951)) @ X2950)|((lam @ X2949 @ X2950 @ X2951)=(lam @ X2949 @ X2950 @ X2951))))&((((in @ (esk82_3 @ X2953 @ X2954 @ X2955) @ X2953)|(~(in @ X2957 @ X2953)|((ap @ X2953 @ X2954 @ (lam @ X2953 @ X2954 @ X2955) @ X2957)=(X2955 @ X2957))))&(~(in @ (X2955 @ (esk82_3 @ X2953 @ X2954 @ X2955)) @ X2954)|(~(in @ X2957 @ X2953)|((ap @ X2953 @ X2954 @ (lam @ X2953 @ X2954 @ X2955) @ X2957)=(X2955 @ X2957)))))&((~(in @ X2960 @ (funcSet @ X2958 @ X2959))|((lam @ X2958 @ X2959 @ (ap @ X2958 @ X2959 @ X2960))=(X2960)))&((~(in @ X2963 @ X2961)|(~(in @ X2964 @ X2961)|((X2962)|(in @ X2964 @ (dsetconstr @ X2961 @ (^[Z0:$i]:((((((X2962))&(((Z0)=(X2963)))))|(((~((X2962)))&(((Z0)=(X2964)))))))))))))&((~(in @ X2967 @ X2965)|(~(in @ X2968 @ X2965)|((X2966)|((dsetconstr @ X2965 @ (^[Z0:$i]:((((((X2966))&(((Z0)=(X2967)))))|(((~((X2966)))&(((Z0)=(X2968)))))))))=(setadjoin @ X2968 @ emptyset)))))&((~(in @ X2971 @ X2969)|(~(in @ X2972 @ X2969)|(~(X2970)|(in @ X2971 @ (dsetconstr @ X2969 @ (^[Z0:$i]:((((((X2970))&(((Z0)=(X2971)))))|(((~((X2970)))&(((Z0)=(X2972)))))))))))))&((~(in @ X2975 @ X2973)|(~(in @ X2976 @ X2973)|(~(X2974)|((dsetconstr @ X2973 @ (^[Z0:$i]:((((((X2974))&(((Z0)=(X2975)))))|(((~((X2974)))&(((Z0)=(X2976)))))))))=(setadjoin @ X2975 @ emptyset)))))&((~(in @ X2979 @ X2977)|(~(in @ X2980 @ X2977)|(singleton @ (dsetconstr @ X2977 @ (^[Z0:$i]:((((((X2978))&(((Z0)=(X2979)))))|(((~((X2978)))&(((Z0)=(X2980))))))))))))&((~(in @ X2983 @ X2981)|(~(in @ X2984 @ X2981)|(in @ (if @ X2981 @ ((X2982)) @ X2983 @ X2984) @ X2981)))&((~(singleton @ X2985)|(~(in @ X2986 @ X2985)|((setunion @ X2985)=(X2986))))&((~(in @ X2989 @ X2987)|(~(in @ X2990 @ X2987)|(~(X2988)|((if @ X2987 @ ((X2988)) @ X2989 @ X2990)=(X2989)))))&((~(in @ X2993 @ X2991)|(~(in @ X2994 @ X2991)|((X2992)|((if @ X2991 @ ((X2992)) @ X2993 @ X2994)=(X2994)))))&((~(in @ X2997 @ X2995)|(~(in @ X2998 @ X2995)|(in @ (if @ X2995 @ ((X2996)) @ X2997 @ X2998) @ (setadjoin @ X2997 @ (setadjoin @ X2998 @ emptyset)))))&((~(in @ X3000 @ (powerset @ X2999))|(~(in @ X3001 @ (powerset @ X2999))|(in @ (binintersect @ X3000 @ X3001) @ (powerset @ X2999))))&((~(in @ X3003 @ (powerset @ X3002))|(~(in @ X3004 @ (powerset @ X3002))|(in @ (binunion @ X3003 @ X3004) @ (powerset @ X3002))))&((~(in @ X3006 @ (powerset @ X3005))|(in @ (powerset @ X3006) @ (powerset @ (powerset @ X3005))))&((~(in @ X3008 @ (powerset @ X3007))|(~(in @ X3009 @ (powerset @ X3007))|(in @ (setminus @ X3008 @ X3009) @ (powerset @ X3007))))&((~(in @ X3011 @ (powerset @ X3010))|(in @ (setminus @ X3010 @ X3011) @ (powerset @ X3010)))&(((((in @ (esk84_3 @ X3012 @ X3013 @ X3014) @ X3012)|((X3013)=(X3014))|(in @ (esk83_3 @ X3012 @ X3013 @ X3014) @ X3012)|~(in @ X3014 @ (powerset @ X3012))|~(in @ X3013 @ (powerset @ X3012)))&(((in @ (esk84_3 @ X3012 @ X3013 @ X3014) @ X3014)|((X3013)=(X3014))|(in @ (esk83_3 @ X3012 @ X3013 @ X3014) @ X3012)|~(in @ X3014 @ (powerset @ X3012))|~(in @ X3013 @ (powerset @ X3012)))&(~(in @ (esk84_3 @ X3012 @ X3013 @ X3014) @ X3013)|((X3013)=(X3014))|(in @ (esk83_3 @ X3012 @ X3013 @ X3014) @ X3012)|~(in @ X3014 @ (powerset @ X3012))|~(in @ X3013 @ (powerset @ X3012)))))&((((in @ (esk84_3 @ X3012 @ X3013 @ X3014) @ X3012)|((X3013)=(X3014))|(in @ (esk83_3 @ X3012 @ X3013 @ X3014) @ X3013)|~(in @ X3014 @ (powerset @ X3012))|~(in @ X3013 @ (powerset @ X3012)))&(((in @ (esk84_3 @ X3012 @ X3013 @ X3014) @ X3014)|((X3013)=(X3014))|(in @ (esk83_3 @ X3012 @ X3013 @ X3014) @ X3013)|~(in @ X3014 @ (powerset @ X3012))|~(in @ X3013 @ (powerset @ X3012)))&(~(in @ (esk84_3 @ X3012 @ X3013 @ X3014) @ X3013)|((X3013)=(X3014))|(in @ (esk83_3 @ X3012 @ X3013 @ X3014) @ X3013)|~(in @ X3014 @ (powerset @ X3012))|~(in @ X3013 @ (powerset @ X3012)))))&(((in @ (esk84_3 @ X3012 @ X3013 @ X3014) @ X3012)|((X3013)=(X3014))|~(in @ (esk83_3 @ X3012 @ X3013 @ X3014) @ X3014)|~(in @ X3014 @ (powerset @ X3012))|~(in @ X3013 @ (powerset @ X3012)))&(((in @ (esk84_3 @ X3012 @ X3013 @ X3014) @ X3014)|((X3013)=(X3014))|~(in @ (esk83_3 @ X3012 @ X3013 @ X3014) @ X3014)|~(in @ X3014 @ (powerset @ X3012))|~(in @ X3013 @ (powerset @ X3012)))&(~(in @ (esk84_3 @ X3012 @ X3013 @ X3014) @ X3013)|((X3013)=(X3014))|~(in @ (esk83_3 @ X3012 @ X3013 @ X3014) @ X3014)|~(in @ X3014 @ (powerset @ X3012))|~(in @ X3013 @ (powerset @ X3012)))))))&((((in @ (esk85_3 @ X3017 @ X3018 @ X3019) @ X3017)|(subset @ X3018 @ X3019)|~(in @ X3019 @ (powerset @ X3017))|~(in @ X3018 @ (powerset @ X3017)))&(((in @ (esk85_3 @ X3017 @ X3018 @ X3019) @ X3018)|(subset @ X3018 @ X3019)|~(in @ X3019 @ (powerset @ X3017))|~(in @ X3018 @ (powerset @ X3017)))&(~(in @ (esk85_3 @ X3017 @ X3018 @ X3019) @ X3019)|(subset @ X3018 @ X3019)|~(in @ X3019 @ (powerset @ X3017))|~(in @ X3018 @ (powerset @ X3017)))))&((((in @ (esk86_3 @ X3021 @ X3022 @ X3023) @ X3021)|(in @ X3022 @ (powerset @ X3023))|~(in @ X3023 @ (powerset @ X3021))|~(in @ X3022 @ (powerset @ X3021)))&(((in @ (esk86_3 @ X3021 @ X3022 @ X3023) @ X3022)|(in @ X3022 @ (powerset @ X3023))|~(in @ X3023 @ (powerset @ X3021))|~(in @ X3022 @ (powerset @ X3021)))&(~(in @ (esk86_3 @ X3021 @ X3022 @ X3023) @ X3023)|(in @ X3022 @ (powerset @ X3023))|~(in @ X3023 @ (powerset @ X3021))|~(in @ X3022 @ (powerset @ X3021)))))&((~(in @ X3026 @ (powerset @ X3025))|(~(in @ X3027 @ (powerset @ X3025))|(~(in @ X3028 @ X3025)|(~(in @ X3026 @ (powerset @ X3027))|(~(in @ X3028 @ X3026)|(in @ X3028 @ X3027))))))&((~(in @ X3030 @ (powerset @ X3029))|(~(in @ X3031 @ X3029)|(~(in @ X3031 @ X3030)|~(in @ X3031 @ (setminus @ X3029 @ X3030)))))&((~(in @ X3033 @ (powerset @ X3032))|(~(in @ X3034 @ X3032)|((in @ X3034 @ (setminus @ X3032 @ X3033))|(in @ X3034 @ X3033))))&((~(in @ X3036 @ (powerset @ X3035))|(~(in @ X3037 @ (powerset @ X3035))|(~(in @ X3038 @ X3035)|((in @ X3038 @ X3036)|~(in @ X3038 @ (binintersect @ X3036 @ X3037))))))&((~(in @ X3040 @ (powerset @ X3039))|(~(in @ X3041 @ (powerset @ X3039))|(~(in @ X3042 @ X3039)|((in @ X3042 @ X3041)|~(in @ X3042 @ (binintersect @ X3040 @ X3041))))))&((~(in @ X3044 @ (powerset @ X3043))|(~(in @ X3045 @ (powerset @ X3043))|(~(in @ X3046 @ X3043)|(~(subset @ X3044 @ (setminus @ X3043 @ X3045))|(~(in @ X3046 @ X3045)|~(in @ X3046 @ X3044))))))&((~(in @ X3048 @ (powerset @ X3047))|(~(in @ X3049 @ (powerset @ X3047))|(~(in @ X3050 @ X3047)|(~(subset @ X3048 @ X3049)|((in @ X3050 @ X3049)|~(in @ X3050 @ X3048))))))&((~(in @ X3052 @ (powerset @ X3051))|(~(in @ X3053 @ (powerset @ X3051))|(~(subset @ X3052 @ X3053)|(subset @ (setminus @ X3051 @ X3053) @ (setminus @ X3051 @ X3052)))))&((~(in @ X3055 @ (powerset @ X3054))|(~(in @ X3056 @ (powerset @ X3054))|(~(subset @ (setminus @ X3054 @ X3056) @ (setminus @ X3054 @ X3055))|(subset @ X3055 @ X3056))))&((~(in @ X3058 @ (powerset @ X3057))|(~(in @ X3059 @ X3057)|(~(in @ X3059 @ X3058)|(in @ X3059 @ (setminus @ X3057 @ (setminus @ X3057 @ X3058))))))&((~(in @ X3061 @ (powerset @ X3060))|(~(in @ X3062 @ X3060)|(~(in @ X3062 @ (setminus @ X3060 @ (setminus @ X3060 @ X3061)))|(in @ X3062 @ X3061))))&((~(in @ X3064 @ (powerset @ X3063))|(subset @ X3064 @ (setminus @ X3063 @ (setminus @ X3063 @ X3064))))&((~(in @ X3066 @ (powerset @ X3065))|(subset @ (setminus @ X3065 @ (setminus @ X3065 @ X3066)) @ X3066))&((~(in @ X3068 @ (powerset @ X3067))|((X3068)=(setminus @ X3067 @ (setminus @ X3067 @ X3068))))&((~(in @ X3070 @ (powerset @ X3069))|(~(in @ X3071 @ (powerset @ X3069))|(~(in @ X3072 @ X3069)|(~(in @ X3072 @ (setminus @ X3069 @ X3070))|~(in @ X3072 @ (binintersect @ X3070 @ X3071))))))&((~(in @ X3074 @ (powerset @ X3073))|(~(in @ X3075 @ (powerset @ X3073))|(~(in @ X3076 @ X3073)|(~(in @ X3076 @ (setminus @ X3073 @ X3074))|(in @ X3076 @ (setminus @ X3073 @ (binintersect @ X3074 @ X3075)))))))&((~(in @ X3078 @ (powerset @ X3077))|(~(in @ X3079 @ (powerset @ X3077))|(subset @ (setminus @ X3077 @ X3078) @ (setminus @ X3077 @ (binintersect @ X3078 @ X3079)))))&((~(in @ X3081 @ (powerset @ X3080))|(~(in @ X3082 @ (powerset @ X3080))|(in @ (setminus @ X3080 @ X3081) @ (powerset @ (setminus @ X3080 @ (binintersect @ X3081 @ X3082))))))&((~(in @ X3084 @ (powerset @ X3083))|(~(in @ X3085 @ (powerset @ X3083))|(~(subset @ X3084 @ (setminus @ X3083 @ X3085))|(~(in @ X3086 @ X3083)|(~(in @ X3086 @ X3085)|(in @ X3086 @ (setminus @ X3083 @ X3084)))))))&((~(in @ X3088 @ (powerset @ X3087))|(~(in @ X3089 @ (powerset @ X3087))|(~(subset @ X3088 @ (setminus @ X3087 @ X3089))|(subset @ X3089 @ (setminus @ X3087 @ X3088)))))&((~(in @ X3091 @ (powerset @ X3090))|(~(in @ X3092 @ (powerset @ X3090))|(~(in @ X3093 @ X3090)|((in @ X3093 @ (binunion @ X3091 @ X3092))|~(in @ X3093 @ X3091)))))&((~(in @ X3095 @ (powerset @ X3094))|(~(in @ X3096 @ (powerset @ X3094))|(~(in @ X3097 @ X3094)|((in @ X3097 @ (binunion @ X3095 @ X3096))|~(in @ X3097 @ X3096)))))&((~(in @ X3099 @ (powerset @ X3098))|(~(in @ X3100 @ (powerset @ X3098))|(~(in @ X3101 @ (powerset @ X3098))|(~(in @ X3102 @ X3098)|(~(in @ X3102 @ (binintersect @ X3099 @ X3100))|(in @ X3102 @ (binunion @ X3099 @ X3101)))))))&((~(in @ X3104 @ (powerset @ X3103))|(~(in @ X3105 @ (powerset @ X3103))|(~(in @ X3106 @ (powerset @ X3103))|(~(in @ X3107 @ X3103)|(~(in @ X3107 @ (binintersect @ X3104 @ X3105))|(in @ X3107 @ (binunion @ X3105 @ X3106)))))))&((~(in @ X3109 @ (powerset @ X3108))|(~(in @ X3110 @ (powerset @ X3108))|(~(in @ X3111 @ (powerset @ X3108))|(~(in @ X3112 @ X3108)|(~(in @ X3112 @ (binintersect @ X3109 @ X3110))|(in @ X3112 @ (binintersect @ (binunion @ X3109 @ X3111) @ (binunion @ X3110 @ X3111))))))))&((~(in @ X3114 @ (powerset @ X3113))|(~(in @ X3115 @ (powerset @ X3113))|(~(in @ X3116 @ (powerset @ X3113))|(in @ (binintersect @ X3114 @ X3115) @ (powerset @ (binintersect @ (binunion @ X3114 @ X3116) @ (binunion @ X3115 @ X3116)))))))&((~(in @ X3118 @ (powerset @ X3117))|(~(in @ X3119 @ (powerset @ X3117))|(~(in @ X3120 @ X3117)|(~(in @ X3120 @ (setminus @ X3117 @ (binunion @ X3118 @ X3119)))|~(in @ X3120 @ X3118)))))&((~(in @ X3122 @ (powerset @ X3121))|(~(in @ X3123 @ (powerset @ X3121))|(~(in @ X3124 @ X3121)|(~(in @ X3124 @ (setminus @ X3121 @ (binunion @ X3122 @ X3123)))|(in @ X3124 @ (setminus @ X3121 @ X3122))))))&(((((in @ X3129 @ X3127)|(X3128)|(in @ X3129 @ X3126)|~(in @ X3129 @ (binunion @ X3126 @ X3127))|~(in @ X3129 @ X3125)|~(in @ X3127 @ (powerset @ X3125))|~(in @ X3126 @ (powerset @ X3125)))&(~(X3128)|(X3128)|(in @ X3129 @ X3126)|~(in @ X3129 @ (binunion @ X3126 @ X3127))|~(in @ X3129 @ X3125)|~(in @ X3127 @ (powerset @ X3125))|~(in @ X3126 @ (powerset @ X3125))))&(((in @ X3129 @ X3127)|(X3128)|~(X3128)|~(in @ X3129 @ (binunion @ X3126 @ X3127))|~(in @ X3129 @ X3125)|~(in @ X3127 @ (powerset @ X3125))|~(in @ X3126 @ (powerset @ X3125)))&(~(X3128)|(X3128)|~(X3128)|~(in @ X3129 @ (binunion @ X3126 @ X3127))|~(in @ X3129 @ X3125)|~(in @ X3127 @ (powerset @ X3125))|~(in @ X3126 @ (powerset @ X3125)))))&((~(in @ X3131 @ (powerset @ X3130))|(~(in @ X3132 @ (powerset @ X3130))|(~(in @ X3133 @ X3130)|((in @ X3133 @ X3131)|((in @ X3133 @ X3132)|~(in @ X3133 @ (binunion @ X3131 @ X3132)))))))&((~(in @ X3135 @ (powerset @ X3134))|(~(in @ X3136 @ (powerset @ X3134))|(~(in @ X3137 @ X3134)|(~(in @ X3137 @ (setminus @ X3134 @ (binunion @ X3135 @ X3136)))|(in @ X3137 @ (setminus @ X3134 @ X3135))))))&((~(in @ X3139 @ (powerset @ X3138))|(~(in @ X3140 @ (powerset @ X3138))|(in @ (setminus @ X3138 @ (binunion @ X3139 @ X3140)) @ (powerset @ (setminus @ X3138 @ X3139)))))&((~(in @ X3142 @ (powerset @ X3141))|(~(in @ X3143 @ (powerset @ X3141))|(~(in @ X3144 @ X3141)|(~(in @ X3144 @ (setminus @ X3141 @ (binunion @ X3142 @ X3143)))|(in @ X3144 @ (setminus @ X3141 @ X3143))))))&((~(in @ X3146 @ (powerset @ X3145))|(~(in @ X3147 @ (powerset @ X3145))|(~(in @ X3148 @ X3145)|(~(in @ X3148 @ (setminus @ X3145 @ (binintersect @ X3146 @ X3147)))|(in @ X3148 @ (binunion @ (setminus @ X3145 @ X3146) @ (setminus @ X3145 @ X3147)))))))&((~(in @ X3150 @ (powerset @ X3149))|(~(in @ X3151 @ (powerset @ X3149))|(~(in @ X3152 @ X3149)|(~(in @ X3152 @ (binunion @ (setminus @ X3149 @ X3150) @ (setminus @ X3149 @ X3151)))|(in @ X3152 @ (setminus @ X3149 @ (binintersect @ X3150 @ X3151)))))))&((~(in @ X3154 @ (powerset @ X3153))|(~(in @ X3155 @ (powerset @ X3153))|((setminus @ X3153 @ (binintersect @ X3154 @ X3155))=(binunion @ (setminus @ X3153 @ X3154) @ (setminus @ X3153 @ X3155)))))&((~(in @ X3157 @ (powerset @ X3156))|(~(in @ X3158 @ (powerset @ X3156))|(~(in @ X3159 @ X3156)|(~(in @ X3159 @ (setminus @ X3156 @ (binunion @ X3157 @ X3158)))|(in @ X3159 @ (binintersect @ (setminus @ X3156 @ X3157) @ (setminus @ X3156 @ X3158)))))))&((~(in @ X3161 @ (powerset @ X3160))|(~(in @ X3162 @ (powerset @ X3160))|(~(in @ X3163 @ X3160)|(~(in @ X3163 @ (setminus @ X3160 @ X3161))|(~(in @ X3163 @ (setminus @ X3160 @ X3162))|(in @ X3163 @ (setminus @ X3160 @ (binunion @ X3161 @ X3162))))))))&((~(in @ X3165 @ (powerset @ X3164))|(~(in @ X3166 @ (powerset @ X3164))|(~(in @ X3167 @ X3164)|(~(in @ X3167 @ (binintersect @ (setminus @ X3164 @ X3165) @ (setminus @ X3164 @ X3166)))|(in @ X3167 @ (setminus @ X3164 @ (binunion @ X3165 @ X3166)))))))&((~(in @ X3169 @ (powerset @ X3168))|(~(in @ X3170 @ (powerset @ X3168))|((setminus @ X3168 @ (binunion @ X3169 @ X3170))=(binintersect @ (setminus @ X3168 @ X3169) @ (setminus @ X3168 @ X3170)))))&((~(in @ X3172 @ (powerset @ X3171))|(~(in @ X3173 @ (powerset @ X3171))|(~(in @ X3174 @ (binintersect @ X3172 @ X3173))|(in @ X3174 @ X3171))))&((~(in @ X3176 @ (powerset @ X3175))|(~(in @ X3177 @ (powerset @ X3175))|(~(in @ X3178 @ (powerset @ X3175))|(~(subset @ X3176 @ X3178)|(subset @ (binintersect @ X3176 @ X3177) @ X3178)))))&((~(in @ X3180 @ (powerset @ X3179))|(~(in @ X3181 @ (powerset @ X3179))|(~(in @ X3182 @ (powerset @ X3179))|(~(subset @ X3181 @ X3182)|(subset @ (binintersect @ X3180 @ X3181) @ X3182)))))&((~(in @ X3184 @ (powerset @ X3183))|(~(in @ X3185 @ (powerset @ X3183))|(~(in @ X3186 @ (powerset @ X3183))|(~(subset @ X3184 @ X3185)|(~(subset @ X3184 @ X3186)|(subset @ X3184 @ (binintersect @ X3185 @ X3186)))))))&((~(in @ X3188 @ (powerset @ X3187))|(~(in @ X3189 @ (powerset @ X3187))|(~(in @ X3190 @ (powerset @ X3187))|(~(in @ X3191 @ (powerset @ X3187))|(~(subset @ X3188 @ X3190)|(~(subset @ X3189 @ X3191)|(subset @ (binintersect @ X3188 @ X3189) @ (binintersect @ X3190 @ X3191))))))))&((~(in @ X3193 @ (powerset @ X3192))|(~(in @ X3194 @ (powerset @ X3192))|(in @ (setminus @ X3192 @ X3193) @ (powerset @ (setminus @ X3192 @ (binintersect @ X3193 @ X3194))))))&((~(in @ X3196 @ (powerset @ X3195))|(~(in @ X3197 @ (powerset @ X3195))|(~(in @ X3198 @ (powerset @ X3195))|(~(in @ X3199 @ (powerset @ X3195))|((setminus @ X3195 @ (binintersect @ (binunion @ X3196 @ X3197) @ (binunion @ X3198 @ X3199)))=(binunion @ (binintersect @ (setminus @ X3195 @ X3196) @ (setminus @ X3195 @ X3197)) @ (binintersect @ (setminus @ X3195 @ X3198) @ (setminus @ X3195 @ X3199))))))))&((~(in @ X3201 @ (powerset @ X3200))|(~(in @ X3202 @ (powerset @ X3200))|(~(in @ X3203 @ (powerset @ X3200))|(in @ (binintersect @ X3201 @ X3202) @ (powerset @ (binintersect @ (binunion @ X3201 @ X3203) @ (binunion @ X3202 @ X3203)))))))&((~(in @ X3205 @ (powerset @ X3204))|(~(in @ X3206 @ (powerset @ X3204))|(~(subset @ X3205 @ (setminus @ X3204 @ X3206))|(subset @ X3206 @ (setminus @ X3204 @ X3205)))))&((~(in @ X3208 @ (powerset @ X3207))|(~(in @ X3209 @ (powerset @ X3207))|(in @ (setminus @ X3207 @ (binunion @ X3208 @ X3209)) @ (powerset @ (setminus @ X3207 @ X3208)))))&((((in @ (esk87_3 @ X3210 @ X3211 @ X3212) @ X3210)|(~(in @ X3215 @ X3211)|(X3212 @ X3215))|~(breln1 @ X3210 @ X3211))&(((in @ (esk88_3 @ X3210 @ X3211 @ X3212) @ X3210)|(~(in @ X3215 @ X3211)|(X3212 @ X3215))|~(breln1 @ X3210 @ X3211))&(((in @ (kpair @ (esk87_3 @ X3210 @ X3211 @ X3212) @ (esk88_3 @ X3210 @ X3211 @ X3212)) @ X3211)|(~(in @ X3215 @ X3211)|(X3212 @ X3215))|~(breln1 @ X3210 @ X3211))&(~(X3212 @ (kpair @ (esk87_3 @ X3210 @ X3211 @ X3212) @ (esk88_3 @ X3210 @ X3211 @ X3212)))|(~(in @ X3215 @ X3211)|(X3212 @ X3215))|~(breln1 @ X3210 @ X3211)))))&((~(in @ X3217 @ (breln1Set @ X3216))|(breln1 @ X3216 @ X3217))&((((in @ (esk89_3 @ X3218 @ X3219 @ X3220) @ X3218)|(~(in @ X3223 @ (breln1Set @ X3219))|(~(reflwellordering @ X3219 @ X3223)|(~(in @ X3224 @ X3218)|(singleton @ (dsetconstr @ X3219 @ (^[Z0:$i]:(((X3220 @ X3224 @ Z0)&(![X2119:$i]:((((in @ X2119 @ X3219))=>(((X3220 @ X3224 @ X2119)=>((in @ (kpair @ Z0 @ X2119) @ X3223))))))))))))))))&(~(in @ X3222 @ X3219)|~(X3220 @ (esk89_3 @ X3218 @ X3219 @ X3220) @ X3222)|(~(in @ X3223 @ (breln1Set @ X3219))|(~(reflwellordering @ X3219 @ X3223)|(~(in @ X3224 @ X3218)|(singleton @ (dsetconstr @ X3219 @ (^[Z0:$i]:(((X3220 @ X3224 @ Z0)&(![X2119:$i]:((((in @ X2119 @ X3219))=>(((X3220 @ X3224 @ X2119)=>((in @ (kpair @ Z0 @ X2119) @ X3223)))))))))))))))))&((breln1 @ X3225 @ (dpsetconstr @ X3225 @ X3225 @ X3226))&((((in @ (esk90_3 @ X3227 @ X3228 @ X3229) @ X3227)|(~(in @ X3232 @ X3228)|(X3229 @ X3232))|~(breln1 @ X3227 @ X3228))&(((in @ (esk91_3 @ X3227 @ X3228 @ X3229) @ X3227)|(~(in @ X3232 @ X3228)|(X3229 @ X3232))|~(breln1 @ X3227 @ X3228))&(((in @ (kpair @ (esk90_3 @ X3227 @ X3228 @ X3229) @ (esk91_3 @ X3227 @ X3228 @ X3229)) @ X3228)|(~(in @ X3232 @ X3228)|(X3229 @ X3232))|~(breln1 @ X3227 @ X3228))&(~(X3229 @ (kpair @ (esk90_3 @ X3227 @ X3228 @ X3229) @ (esk91_3 @ X3227 @ X3228 @ X3229)))|(~(in @ X3232 @ X3228)|(X3229 @ X3232))|~(breln1 @ X3227 @ X3228)))))&((((in @ (esk92_3 @ X3233 @ X3234 @ X3235) @ X3233)|(subset @ X3234 @ X3235)|~(breln1 @ X3233 @ X3235)|~(breln1 @ X3233 @ X3234))&(((in @ (esk93_3 @ X3233 @ X3234 @ X3235) @ X3233)|(subset @ X3234 @ X3235)|~(breln1 @ X3233 @ X3235)|~(breln1 @ X3233 @ X3234))&(((in @ (kpair @ (esk92_3 @ X3233 @ X3234 @ X3235) @ (esk93_3 @ X3233 @ X3234 @ X3235)) @ X3234)|(subset @ X3234 @ X3235)|~(breln1 @ X3233 @ X3235)|~(breln1 @ X3233 @ X3234))&(~(in @ (kpair @ (esk92_3 @ X3233 @ X3234 @ X3235) @ (esk93_3 @ X3233 @ X3234 @ X3235)) @ X3235)|(subset @ X3234 @ X3235)|~(breln1 @ X3233 @ X3235)|~(breln1 @ X3233 @ X3234)))))&(((((in @ (esk96_3 @ X3238 @ X3239 @ X3240) @ X3238)|((X3239)=(X3240))|(in @ (esk94_3 @ X3238 @ X3239 @ X3240) @ X3238)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(((in @ (esk97_3 @ X3238 @ X3239 @ X3240) @ X3238)|((X3239)=(X3240))|(in @ (esk94_3 @ X3238 @ X3239 @ X3240) @ X3238)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(((in @ (kpair @ (esk96_3 @ X3238 @ X3239 @ X3240) @ (esk97_3 @ X3238 @ X3239 @ X3240)) @ X3240)|((X3239)=(X3240))|(in @ (esk94_3 @ X3238 @ X3239 @ X3240) @ X3238)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(~(in @ (kpair @ (esk96_3 @ X3238 @ X3239 @ X3240) @ (esk97_3 @ X3238 @ X3239 @ X3240)) @ X3239)|((X3239)=(X3240))|(in @ (esk94_3 @ X3238 @ X3239 @ X3240) @ X3238)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239)))))&((((in @ (esk96_3 @ X3238 @ X3239 @ X3240) @ X3238)|((X3239)=(X3240))|(in @ (esk95_3 @ X3238 @ X3239 @ X3240) @ X3238)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(((in @ (esk97_3 @ X3238 @ X3239 @ X3240) @ X3238)|((X3239)=(X3240))|(in @ (esk95_3 @ X3238 @ X3239 @ X3240) @ X3238)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(((in @ (kpair @ (esk96_3 @ X3238 @ X3239 @ X3240) @ (esk97_3 @ X3238 @ X3239 @ X3240)) @ X3240)|((X3239)=(X3240))|(in @ (esk95_3 @ X3238 @ X3239 @ X3240) @ X3238)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(~(in @ (kpair @ (esk96_3 @ X3238 @ X3239 @ X3240) @ (esk97_3 @ X3238 @ X3239 @ X3240)) @ X3239)|((X3239)=(X3240))|(in @ (esk95_3 @ X3238 @ X3239 @ X3240) @ X3238)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239)))))&((((in @ (esk96_3 @ X3238 @ X3239 @ X3240) @ X3238)|((X3239)=(X3240))|(in @ (kpair @ (esk94_3 @ X3238 @ X3239 @ X3240) @ (esk95_3 @ X3238 @ X3239 @ X3240)) @ X3239)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(((in @ (esk97_3 @ X3238 @ X3239 @ X3240) @ X3238)|((X3239)=(X3240))|(in @ (kpair @ (esk94_3 @ X3238 @ X3239 @ X3240) @ (esk95_3 @ X3238 @ X3239 @ X3240)) @ X3239)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(((in @ (kpair @ (esk96_3 @ X3238 @ X3239 @ X3240) @ (esk97_3 @ X3238 @ X3239 @ X3240)) @ X3240)|((X3239)=(X3240))|(in @ (kpair @ (esk94_3 @ X3238 @ X3239 @ X3240) @ (esk95_3 @ X3238 @ X3239 @ X3240)) @ X3239)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(~(in @ (kpair @ (esk96_3 @ X3238 @ X3239 @ X3240) @ (esk97_3 @ X3238 @ X3239 @ X3240)) @ X3239)|((X3239)=(X3240))|(in @ (kpair @ (esk94_3 @ X3238 @ X3239 @ X3240) @ (esk95_3 @ X3238 @ X3239 @ X3240)) @ X3239)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239)))))&(((in @ (esk96_3 @ X3238 @ X3239 @ X3240) @ X3238)|((X3239)=(X3240))|~(in @ (kpair @ (esk94_3 @ X3238 @ X3239 @ X3240) @ (esk95_3 @ X3238 @ X3239 @ X3240)) @ X3240)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(((in @ (esk97_3 @ X3238 @ X3239 @ X3240) @ X3238)|((X3239)=(X3240))|~(in @ (kpair @ (esk94_3 @ X3238 @ X3239 @ X3240) @ (esk95_3 @ X3238 @ X3239 @ X3240)) @ X3240)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(((in @ (kpair @ (esk96_3 @ X3238 @ X3239 @ X3240) @ (esk97_3 @ X3238 @ X3239 @ X3240)) @ X3240)|((X3239)=(X3240))|~(in @ (kpair @ (esk94_3 @ X3238 @ X3239 @ X3240) @ (esk95_3 @ X3238 @ X3239 @ X3240)) @ X3240)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))&(~(in @ (kpair @ (esk96_3 @ X3238 @ X3239 @ X3240) @ (esk97_3 @ X3238 @ X3239 @ X3240)) @ X3239)|((X3239)=(X3240))|~(in @ (kpair @ (esk94_3 @ X3238 @ X3239 @ X3240) @ (esk95_3 @ X3238 @ X3239 @ X3240)) @ X3240)|~(breln1 @ X3238 @ X3240)|~(breln1 @ X3238 @ X3239))))))))&((~(breln1 @ X3245 @ X3246)|(breln1 @ X3245 @ (breln1invset @ X3245 @ X3246)))&((~(breln1 @ X3247 @ X3248)|(~(in @ X3249 @ X3247)|(~(in @ X3250 @ X3247)|(~(in @ (kpair @ X3249 @ X3250) @ X3248)|(in @ (kpair @ X3250 @ X3249) @ (breln1invset @ X3247 @ X3248))))))&((~(breln1 @ X3251 @ X3252)|(~(in @ X3253 @ X3251)|(~(in @ X3254 @ X3251)|(~(in @ (kpair @ X3254 @ X3253) @ (breln1invset @ X3251 @ X3252))|(in @ (kpair @ X3253 @ X3254) @ X3252)))))&((~(breln1 @ X3255 @ X3256)|(~(breln1 @ X3255 @ X3257)|(breln1 @ X3255 @ (breln1compset @ X3255 @ X3256 @ X3257))))&((~(breln1 @ X3258 @ X3259)|(~(breln1 @ X3258 @ X3260)|(~(in @ X3261 @ X3258)|(~(in @ X3262 @ X3258)|(~(in @ X3263 @ X3258)|(~(in @ (kpair @ X3261 @ X3263) @ X3259)|(~(in @ (kpair @ X3263 @ X3262) @ X3260)|(in @ (kpair @ X3261 @ X3262) @ (breln1compset @ X3258 @ X3259 @ X3260)))))))))&(((((in @ (esk98_5 @ X3264 @ X3265 @ X3266 @ X3267 @ X3268) @ X3264)|~(in @ (kpair @ X3267 @ X3268) @ (breln1compset @ X3264 @ X3265 @ X3266))|~(in @ X3268 @ X3264)|~(in @ X3267 @ X3264)|~(breln1 @ X3264 @ X3266)|~(breln1 @ X3264 @ X3265))&((in @ (kpair @ X3267 @ (esk98_5 @ X3264 @ X3265 @ X3266 @ X3267 @ X3268)) @ X3265)|~(in @ (kpair @ X3267 @ X3268) @ (breln1compset @ X3264 @ X3265 @ X3266))|~(in @ X3268 @ X3264)|~(in @ X3267 @ X3264)|~(breln1 @ X3264 @ X3266)|~(breln1 @ X3264 @ X3265)))&((in @ (kpair @ (esk98_5 @ X3264 @ X3265 @ X3266 @ X3267 @ X3268) @ X3268) @ X3266)|~(in @ (kpair @ X3267 @ X3268) @ (breln1compset @ X3264 @ X3265 @ X3266))|~(in @ X3268 @ X3264)|~(in @ X3267 @ X3264)|~(breln1 @ X3264 @ X3266)|~(breln1 @ X3264 @ X3265)))&((((in @ (esk99_6 @ X3270 @ X3271 @ X3272 @ X3273 @ X3274 @ X3275) @ X3270)|(X3275)|~(in @ (kpair @ X3273 @ X3274) @ (breln1compset @ X3270 @ X3271 @ X3272))|~(in @ X3274 @ X3270)|~(in @ X3273 @ X3270)|~(breln1 @ X3270 @ X3272)|~(breln1 @ X3270 @ X3271))&(((in @ (kpair @ X3273 @ (esk99_6 @ X3270 @ X3271 @ X3272 @ X3273 @ X3274 @ X3275)) @ X3271)|(X3275)|~(in @ (kpair @ X3273 @ X3274) @ (breln1compset @ X3270 @ X3271 @ X3272))|~(in @ X3274 @ X3270)|~(in @ X3273 @ X3270)|~(breln1 @ X3270 @ X3272)|~(breln1 @ X3270 @ X3271))&(((in @ (kpair @ (esk99_6 @ X3270 @ X3271 @ X3272 @ X3273 @ X3274 @ X3275) @ X3274) @ X3272)|(X3275)|~(in @ (kpair @ X3273 @ X3274) @ (breln1compset @ X3270 @ X3271 @ X3272))|~(in @ X3274 @ X3270)|~(in @ X3273 @ X3270)|~(breln1 @ X3270 @ X3272)|~(breln1 @ X3270 @ X3271))&(~(X3275)|(X3275)|~(in @ (kpair @ X3273 @ X3274) @ (breln1compset @ X3270 @ X3271 @ X3272))|~(in @ X3274 @ X3270)|~(in @ X3273 @ X3270)|~(breln1 @ X3270 @ X3272)|~(breln1 @ X3270 @ X3271)))))&((~(breln1 @ X3277 @ X3278)|(~(breln1 @ X3277 @ X3279)|(breln1 @ X3277 @ (binunion @ X3278 @ X3279))))&((~(breln1 @ X3280 @ X3281)|(~(breln1 @ X3280 @ X3282)|(~(in @ X3283 @ X3280)|(~(in @ X3284 @ X3280)|(~(in @ (kpair @ X3283 @ X3284) @ X3281)|(in @ (kpair @ X3283 @ X3284) @ (binunion @ X3281 @ X3282)))))))&((~(breln1 @ X3285 @ X3286)|(~(breln1 @ X3285 @ X3287)|(~(in @ X3288 @ X3285)|(~(in @ X3289 @ X3285)|(~(in @ (kpair @ X3288 @ X3289) @ X3287)|(in @ (kpair @ X3288 @ X3289) @ (binunion @ X3286 @ X3287)))))))&(((~(in @ (kpair @ X3293 @ X3294) @ X3291)|(in @ (kpair @ X3293 @ X3294) @ (binunion @ X3291 @ X3292))|~(in @ X3294 @ X3290)|~(in @ X3293 @ X3290)|~(breln1 @ X3290 @ X3292)|~(breln1 @ X3290 @ X3291))&(~(in @ (kpair @ X3293 @ X3294) @ X3292)|(in @ (kpair @ X3293 @ X3294) @ (binunion @ X3291 @ X3292))|~(in @ X3294 @ X3290)|~(in @ X3293 @ X3290)|~(breln1 @ X3290 @ X3292)|~(breln1 @ X3290 @ X3291)))&((~(breln1 @ X3295 @ X3296)|(~(breln1 @ X3295 @ X3297)|(~(in @ X3298 @ X3295)|(~(in @ X3299 @ X3295)|(~(in @ (kpair @ X3298 @ X3299) @ (binunion @ X3296 @ X3297))|((in @ (kpair @ X3298 @ X3299) @ X3296)|(in @ (kpair @ X3298 @ X3299) @ X3297)))))))&(((((in @ (kpair @ X3303 @ X3304) @ X3302)|(X3305)|(in @ (kpair @ X3303 @ X3304) @ X3301)|~(in @ (kpair @ X3303 @ X3304) @ (binunion @ X3301 @ X3302))|~(in @ X3304 @ X3300)|~(in @ X3303 @ X3300)|~(breln1 @ X3300 @ X3302)|~(breln1 @ X3300 @ X3301))&(~(X3305)|(X3305)|(in @ (kpair @ X3303 @ X3304) @ X3301)|~(in @ (kpair @ X3303 @ X3304) @ (binunion @ X3301 @ X3302))|~(in @ X3304 @ X3300)|~(in @ X3303 @ X3300)|~(breln1 @ X3300 @ X3302)|~(breln1 @ X3300 @ X3301)))&(((in @ (kpair @ X3303 @ X3304) @ X3302)|(X3305)|~(X3305)|~(in @ (kpair @ X3303 @ X3304) @ (binunion @ X3301 @ X3302))|~(in @ X3304 @ X3300)|~(in @ X3303 @ X3300)|~(breln1 @ X3300 @ X3302)|~(breln1 @ X3300 @ X3301))&(~(X3305)|(X3305)|~(X3305)|~(in @ (kpair @ X3303 @ X3304) @ (binunion @ X3301 @ X3302))|~(in @ X3304 @ X3300)|~(in @ X3303 @ X3300)|~(breln1 @ X3300 @ X3302)|~(breln1 @ X3300 @ X3301))))&((~(breln1 @ X3306 @ X3307)|(~(breln1 @ X3306 @ X3308)|((binunion @ X3307 @ X3308)=(binunion @ X3308 @ X3307))))&((~(breln1 @ X3309 @ X3310)|((X3310)=(breln1invset @ X3309 @ (breln1invset @ X3309 @ X3310))))&((~(breln1 @ X3311 @ X3312)|(~(breln1 @ X3311 @ X3313)|((breln1invset @ X3311 @ (breln1compset @ X3311 @ X3312 @ X3313))=(breln1compset @ X3311 @ (breln1invset @ X3311 @ X3313) @ (breln1invset @ X3311 @ X3312)))))&((~(breln1 @ X3314 @ X3315)|(~(breln1 @ X3314 @ X3316)|(~(breln1 @ X3314 @ X3317)|((breln1compset @ X3314 @ (binunion @ X3315 @ X3316) @ X3317)=(binunion @ (breln1compset @ X3314 @ X3315 @ X3317) @ (breln1compset @ X3314 @ X3316 @ X3317))))))&((~(breln1 @ X3318 @ X3319)|(~(breln1 @ X3318 @ X3320)|(~(breln1 @ X3318 @ X3321)|((breln1compset @ X3318 @ (binunion @ X3319 @ X3320) @ X3321)=(binunion @ (breln1invset @ X3318 @ (breln1compset @ X3318 @ (breln1invset @ X3318 @ X3321) @ (breln1invset @ X3318 @ X3320))) @ (breln1invset @ X3318 @ (breln1compset @ X3318 @ (breln1invset @ X3318 @ X3321) @ (breln1invset @ X3318 @ X3319))))))))&(((((in @ (esk101_3 @ X3322 @ X3323 @ X3325) @ X3322)|~(in @ X3325 @ (esk100_2 @ X3322 @ X3323)))&(((X3325)=(X3323 @ (esk101_3 @ X3322 @ X3323 @ X3325)))|~(in @ X3325 @ (esk100_2 @ X3322 @ X3323))))&(~(in @ X3328 @ X3322)|((X3327)!=(X3323 @ X3328))|(in @ X3327 @ (esk100_2 @ X3322 @ X3323))))&((((((in @ (esk103_3 @ X3329 @ X3330 @ X3332) @ X3329)|~(in @ X3332 @ (esk102_2 @ X3329 @ X3330)))&(((X3332)=(X3330 @ (esk103_3 @ X3329 @ X3330 @ X3332)))|~(in @ X3332 @ (esk102_2 @ X3329 @ X3330))))&(~(in @ X3335 @ X3329)|((X3334)!=(X3330 @ X3335))|(in @ X3334 @ (esk102_2 @ X3329 @ X3330))))&((~(in @ (esk104_3 @ X3329 @ X3330 @ X3336) @ X3336)|(~(in @ X3338 @ X3329)|((esk104_3 @ X3329 @ X3330 @ X3336)!=(X3330 @ X3338)))|((esk102_2 @ X3329 @ X3330)=(X3336)))&(((in @ (esk105_3 @ X3329 @ X3330 @ X3336) @ X3329)|(in @ (esk104_3 @ X3329 @ X3330 @ X3336) @ X3336)|((esk102_2 @ X3329 @ X3330)=(X3336)))&(((esk104_3 @ X3329 @ X3330 @ X3336)=(X3330 @ (esk105_3 @ X3329 @ X3330 @ X3336)))|(in @ (esk104_3 @ X3329 @ X3330 @ X3336) @ X3336)|((esk102_2 @ X3329 @ X3330)=(X3336))))))&(((((in @ (esk106_3 @ X3340 @ X3341 @ X3342) @ X3340)|~(in @ X3342 @ (image1 @ X3340 @ X3341)))&(((X3342)=(X3341 @ (esk106_3 @ X3340 @ X3341 @ X3342)))|~(in @ X3342 @ (image1 @ X3340 @ X3341))))&(~(in @ X3347 @ X3344)|((X3346)!=(X3345 @ X3347))|(in @ X3346 @ (image1 @ X3344 @ X3345))))&((((in @ (esk107_3 @ X3348 @ X3349 @ X3350) @ X3348)|~(in @ X3350 @ (image1 @ X3348 @ X3349)))&(((X3350)=(X3349 @ (esk107_3 @ X3348 @ X3349 @ X3350)))|~(in @ X3350 @ (image1 @ X3348 @ X3349))))&((~(in @ X3355 @ X3352)|((X3354)!=(X3353 @ X3355))|(in @ X3354 @ (image1 @ X3352 @ X3353)))&((~(in @ X3358 @ (funcSet @ X3356 @ X3357))|(~(injective @ X3356 @ X3357 @ X3358)|(in @ X3358 @ (injFuncSet @ X3356 @ X3357))))&((~(in @ X3361 @ (injFuncSet @ X3359 @ X3360))|(in @ X3361 @ (funcSet @ X3359 @ X3360)))&((~(in @ X3364 @ (injFuncSet @ X3362 @ X3363))|(injective @ X3362 @ X3363 @ X3364))&((~(in @ X3367 @ (surjFuncSet @ X3365 @ X3366))|(in @ X3367 @ (funcSet @ X3365 @ X3366)))&((~(in @ X3370 @ (surjFuncSet @ X3368 @ X3369))|(surjective @ X3368 @ X3369 @ X3370))&(((((in @ (esk109_4 @ X3371 @ X3372 @ X3373 @ X3375) @ X3371)|(surjective @ X3372 @ X3371 @ X3375)|~(in @ X3375 @ (funcSet @ X3372 @ X3371))|(in @ (esk108_3 @ X3371 @ X3372 @ X3373) @ X3371))&(((ap @ X3372 @ X3371 @ X3375 @ (X3373 @ (esk109_4 @ X3371 @ X3372 @ X3373 @ X3375)))!=(esk109_4 @ X3371 @ X3372 @ X3373 @ X3375))|(surjective @ X3372 @ X3371 @ X3375)|~(in @ X3375 @ (funcSet @ X3372 @ X3371))|(in @ (esk108_3 @ X3371 @ X3372 @ X3373) @ X3371)))&(((in @ (esk109_4 @ X3371 @ X3372 @ X3373 @ X3375) @ X3371)|(surjective @ X3372 @ X3371 @ X3375)|~(in @ X3375 @ (funcSet @ X3372 @ X3371))|~(in @ (X3373 @ (esk108_3 @ X3371 @ X3372 @ X3373)) @ X3372))&(((ap @ X3372 @ X3371 @ X3375 @ (X3373 @ (esk109_4 @ X3371 @ X3372 @ X3373 @ X3375)))!=(esk109_4 @ X3371 @ X3372 @ X3373 @ X3375))|(surjective @ X3372 @ X3371 @ X3375)|~(in @ X3375 @ (funcSet @ X3372 @ X3371))|~(in @ (X3373 @ (esk108_3 @ X3371 @ X3372 @ X3373)) @ X3372))))&((~(in @ X3378 @ (funcSet @ X3377 @ (powerset @ X3377)))|~(surjective @ X3377 @ (powerset @ X3377) @ X3378))&((((in @ (esk110_1 @ X3379) @ X3379)|((X3379)=(emptyset)))&(((binintersect @ (esk110_1 @ X3379) @ X3379)=(emptyset))|((X3379)=(emptyset))))&(~(in @ X3381 @ X3381)&((~(in @ X3382 @ X3383)|~(in @ X3383 @ X3382))&((~(in @ X3384 @ omega)|(in @ (omegaS @ X3384) @ omega))&((~(in @ X3385 @ omega)|(in @ (setadjoin @ X3385 @ X3385) @ omega))&((~(in @ X3386 @ omega)|((omegaS @ X3386)!=(emptyset)))&((~(in @ X3387 @ omega)|(~(in @ X3388 @ omega)|(((omegaS @ X3387)!=(omegaS @ X3388))|((X3387)=(X3388)))))&((((in @ (esk111_1 @ X3389) @ X3389)|(~(in @ X3391 @ X3389)|(subset @ X3391 @ X3389)))&(~(subset @ (esk111_1 @ X3389) @ X3389)|(~(in @ X3391 @ X3389)|(subset @ X3391 @ X3389))))&((~(in @ X3393 @ esk112_0)|(subset @ X3393 @ esk112_0))&((~(in @ X3395 @ esk113_0)|(subset @ X3395 @ esk113_0))&((in @ esk114_0 @ (binintersect @ esk112_0 @ esk113_0))&~(subset @ esk114_0 @ (binintersect @ esk112_0 @ esk113_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_414])])])])])])])).
% 1.86/0.60 thf(c_0_416, negated_conjecture, ~((subset @ esk114_0 @ (binintersect @ esk112_0 @ esk113_0))), inference(split_conjunct,[status(thm)],[c_0_415])).
% 1.86/0.60 thf(c_0_417, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ X2 @ (binintersect @ X3 @ X4))|~((subset @ X2 @ X3))|~((subset @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_415])).
% 1.86/0.60 thf(c_0_418, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ X4)|~((in @ X2 @ (binintersect @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_415])).
% 1.86/0.60 thf(c_0_419, negated_conjecture, (in @ esk114_0 @ (binintersect @ esk112_0 @ esk113_0)), inference(split_conjunct,[status(thm)],[c_0_415])).
% 1.86/0.60 thf(c_0_420, negated_conjecture, (~((subset @ esk114_0 @ esk113_0))|~((subset @ esk114_0 @ esk112_0))), inference(spm,[status(thm)],[c_0_416, c_0_417])).
% 1.86/0.60 thf(c_0_421, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk113_0)|~((in @ X2 @ esk113_0)))), inference(split_conjunct,[status(thm)],[c_0_415])).
% 1.86/0.60 thf(c_0_422, negated_conjecture, (in @ esk114_0 @ esk113_0), inference(spm,[status(thm)],[c_0_418, c_0_419])).
% 1.86/0.60 thf(c_0_423, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ X3)|~((in @ X2 @ (binintersect @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_415])).
% 1.86/0.60 thf(c_0_424, negated_conjecture, ~((subset @ esk114_0 @ esk112_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420, c_0_421]), c_0_422])])).
% 1.86/0.60 thf(c_0_425, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk112_0)|~((in @ X2 @ esk112_0)))), inference(split_conjunct,[status(thm)],[c_0_415])).
% 1.86/0.60 thf(c_0_426, negated_conjecture, (in @ esk114_0 @ esk112_0), inference(spm,[status(thm)],[c_0_423, c_0_419])).
% 1.86/0.60 thf(c_0_427, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424, c_0_425]), c_0_426])]), ['proof']).
% 1.86/0.60 % SZS output end CNFRefutation
% 1.86/0.60 % Parsed axioms : 721
% 1.86/0.60 % Removed by relevancy pruning/SinE : 0
% 1.86/0.60 % Initial clauses : 954
% 1.86/0.60 % Removed in clause preprocessing : 424
% 1.86/0.60 % Initial clauses in saturation : 530
% 1.86/0.60 % Processed clauses : 1103
% 1.86/0.60 % ...of these trivial : 15
% 1.86/0.60 % ...subsumed : 416
% 1.86/0.60 % ...remaining for further processing : 672
% 1.86/0.60 % Other redundant clauses eliminated : 19
% 1.86/0.60 % Clauses deleted for lack of memory : 0
% 1.86/0.60 % Backward-subsumed : 26
% 1.86/0.60 % Backward-rewritten : 4
% 1.86/0.60 % Generated clauses : 6852
% 1.86/0.60 % ...of the previous two non-redundant : 6333
% 1.86/0.60 % ...aggressively subsumed : 0
% 1.86/0.60 % Contextual simplify-reflections : 2
% 1.86/0.60 % Paramodulations : 6826
% 1.86/0.60 % Factorizations : 2
% 1.86/0.60 % NegExts : 0
% 1.86/0.60 % Equation resolutions : 23
% 1.86/0.60 % Disequality decompositions : 0
% 1.86/0.60 % Total rewrite steps : 759
% 1.86/0.60 % ...of those cached : 668
% 1.86/0.60 % Propositional unsat checks : 0
% 1.86/0.60 % Propositional check models : 0
% 1.86/0.60 % Propositional check unsatisfiable : 0
% 1.86/0.60 % Propositional clauses : 0
% 1.86/0.60 % Propositional clauses after purity: 0
% 1.86/0.60 % Propositional unsat core size : 0
% 1.86/0.60 % Propositional preprocessing time : 0.000
% 1.86/0.60 % Propositional encoding time : 0.000
% 1.86/0.60 % Propositional solver time : 0.000
% 1.86/0.60 % Success case prop preproc time : 0.000
% 1.86/0.60 % Success case prop encoding time : 0.000
% 1.86/0.60 % Success case prop solver time : 0.000
% 1.86/0.60 % Current number of processed clauses : 633
% 1.86/0.60 % Positive orientable unit clauses : 89
% 1.86/0.60 % Positive unorientable unit clauses: 0
% 1.86/0.60 % Negative unit clauses : 282
% 1.86/0.60 % Non-unit-clauses : 262
% 1.86/0.60 % Current number of unprocessed clauses: 5728
% 1.86/0.60 % ...number of literals in the above : 14816
% 1.86/0.60 % Current number of archived formulas : 0
% 1.86/0.60 % Current number of archived clauses : 31
% 1.86/0.60 % Clause-clause subsumption calls (NU) : 12251
% 1.86/0.60 % Rec. Clause-clause subsumption calls : 10733
% 1.86/0.60 % Non-unit clause-clause subsumptions : 106
% 1.86/0.60 % Unit Clause-clause subsumption calls : 17492
% 1.86/0.60 % Rewrite failures with RHS unbound : 0
% 1.86/0.60 % BW rewrite match attempts : 23
% 1.86/0.60 % BW rewrite match successes : 4
% 1.86/0.60 % Condensation attempts : 0
% 1.86/0.60 % Condensation successes : 0
% 1.86/0.60 % Termbank termtop insertions : 187277
% 1.86/0.60 % Search garbage collected termcells : 36733
% 1.86/0.60
% 1.86/0.60 % -------------------------------------------------
% 1.86/0.60 % User time : 0.219 s
% 1.86/0.60 % System time : 0.024 s
% 1.86/0.60 % Total time : 0.243 s
% 1.86/0.60 % Maximum resident set size: 12400 pages
% 1.86/0.60
% 1.86/0.60 % -------------------------------------------------
% 1.86/0.60 % User time : 0.240 s
% 1.86/0.60 % System time : 0.032 s
% 1.86/0.60 % Total time : 0.271 s
% 1.86/0.60 % Maximum resident set size: 5888 pages
% 1.86/0.60 % E exiting
%------------------------------------------------------------------------------