%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU805^1 : 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 : n007.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 08:27:52 AM UTC 2026
% Result : Theorem 152.60s 31.04s
% Output : CNFRefutation 182.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU805^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n007.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Tue Sep 29 14:30:26 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.33 Running higher-order theorem proving
% 0.44/0.47 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.vDaPNe3kS8/E---3.1_3445296.p
% 152.60/31.04 % Version: 3.5.1-ho
% 152.60/31.04 % Preprocessing class: HSLMSLSSLLLCHFA.
% 152.60/31.04 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 152.60/31.04 % Starting ehoh_best5 with 300s (1) cores
% 152.60/31.04 % Starting almost_fo_3_lam with 300s (1) cores
% 152.60/31.04 % Starting new_bool_5 with 300s (1) cores
% 152.60/31.04 % Starting pre_casc_3 with 300s (1) cores
% 152.60/31.04 % Starting ho_unfolding_8 with 300s (1) cores
% 152.60/31.04 % Starting new_ho_10_cnf2 with 300s (1) cores
% 152.60/31.04 % Starting new_bool_3 with 300s (1) cores
% 152.60/31.04 % Starting new_ho_5 with 300s (1) cores
% 152.60/31.04 % pre_casc_3 with pid 3445312 completed with status 9
% 152.60/31.04 % new_ho_5 with pid 3445316 completed with status 9
% 152.60/31.04 % new_bool_5 with pid 3445311 completed with status 0
% 152.60/31.04 % Result found by new_bool_5
% 152.60/31.04 % Preprocessing class: HSLMSLSSLLLCHFA.
% 152.60/31.04 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 152.60/31.04 % Starting ehoh_best5 with 300s (1) cores
% 152.60/31.04 % Starting almost_fo_3_lam with 300s (1) cores
% 152.60/31.04 % Starting new_bool_5 with 300s (1) cores
% 152.60/31.04 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 152.60/31.04 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 152.60/31.04 % Search class: HGHSM-FSLM32-MHFMMSBN
% 152.60/31.04 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 152.60/31.04 % Starting SubtermCWHack with 28s (1) cores
% 152.60/31.04 % SubtermCWHack with pid 3445343 completed with status 8
% 152.60/31.04 % Starting new_bool_5 with 31s (1) cores
% 152.60/31.04 % new_bool_5 with pid 3445354 completed with status 0
% 152.60/31.04 % Result found by new_bool_5
% 152.60/31.04 % Preprocessing class: HSLMSLSSLLLCHFA.
% 152.60/31.04 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 152.60/31.04 % Starting ehoh_best5 with 300s (1) cores
% 152.60/31.04 % Starting almost_fo_3_lam with 300s (1) cores
% 152.60/31.04 % Starting new_bool_5 with 300s (1) cores
% 152.60/31.04 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 152.60/31.04 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 152.60/31.04 % Search class: HGHSM-FSLM32-MHFMMSBN
% 152.60/31.04 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 152.60/31.04 % Starting SubtermCWHack with 28s (1) cores
% 152.60/31.04 % SubtermCWHack with pid 3445343 completed with status 8
% 152.60/31.04 % Starting new_bool_5 with 31s (1) cores
% 152.60/31.04 % Preprocessing time : 0.018 s
% 152.60/31.04 % Presaturation interreduction done
% 152.60/31.04
% 152.60/31.04 % Proof found!
% 152.60/31.04 % SZS status Theorem
% 152.60/31.04 % SZS output start CNFRefutation
% 152.60/31.04 thf(decl_23, type, in: $i > $i > $o).
% 152.60/31.04 thf(decl_24, type, exu: ($i > $o) > $o).
% 152.60/31.04 thf(decl_25, type, setextAx: $o).
% 152.60/31.04 thf(decl_26, type, emptyset: $i).
% 152.60/31.04 thf(decl_27, type, emptysetAx: $o).
% 152.60/31.04 thf(decl_28, type, setadjoin: $i > $i > $i).
% 152.60/31.04 thf(decl_29, type, setadjoinAx: $o).
% 152.60/31.04 thf(decl_30, type, powerset: $i > $i).
% 152.60/31.04 thf(decl_31, type, powersetAx: $o).
% 152.60/31.04 thf(decl_32, type, setunion: $i > $i).
% 152.60/31.04 thf(decl_33, type, setunionAx: $o).
% 152.60/31.04 thf(decl_34, type, omega: $i).
% 152.60/31.04 thf(decl_35, type, omega0Ax: $o).
% 152.60/31.04 thf(decl_36, type, omegaSAx: $o).
% 152.60/31.04 thf(decl_37, type, omegaIndAx: $o).
% 152.60/31.04 thf(decl_38, type, replAx: $o).
% 152.60/31.04 thf(decl_39, type, foundationAx: $o).
% 152.60/31.04 thf(decl_40, type, wellorderingAx: $o).
% 152.60/31.04 thf(decl_41, type, descr: ($i > $o) > $i).
% 152.60/31.04 thf(decl_42, type, descrp: $o).
% 152.60/31.04 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 152.60/31.04 thf(decl_44, type, dsetconstrI: $o).
% 152.60/31.04 thf(decl_45, type, dsetconstrEL: $o).
% 152.60/31.04 thf(decl_46, type, dsetconstrER: $o).
% 152.60/31.04 thf(decl_47, type, exuE1: $o).
% 152.60/31.04 thf(decl_48, type, prop2set: $o > $i).
% 152.60/31.04 thf(decl_49, type, prop2setE: $o).
% 152.60/31.04 thf(decl_50, type, emptysetE: $o).
% 152.60/31.04 thf(decl_51, type, emptysetimpfalse: $o).
% 152.60/31.04 thf(decl_52, type, notinemptyset: $o).
% 152.60/31.04 thf(decl_53, type, exuE3e: $o).
% 152.60/31.04 thf(decl_54, type, setext: $o).
% 152.60/31.04 thf(decl_55, type, emptyI: $o).
% 152.60/31.04 thf(decl_56, type, noeltsimpempty: $o).
% 152.60/31.04 thf(decl_57, type, setbeta: $o).
% 152.60/31.04 thf(decl_58, type, nonempty: $i > $o).
% 152.60/31.04 thf(decl_59, type, nonemptyE1: $o).
% 152.60/31.04 thf(decl_60, type, nonemptyI: $o).
% 152.60/31.04 thf(decl_61, type, nonemptyI1: $o).
% 152.60/31.04 thf(decl_62, type, setadjoinIL: $o).
% 152.60/31.04 thf(decl_63, type, emptyinunitempty: $o).
% 152.60/31.04 thf(decl_64, type, setadjoinIR: $o).
% 152.60/31.04 thf(decl_65, type, setadjoinE: $o).
% 152.60/31.04 thf(decl_66, type, setadjoinOr: $o).
% 152.60/31.04 thf(decl_67, type, setoftrueEq: $o).
% 152.60/31.04 thf(decl_68, type, powersetI: $o).
% 152.60/31.04 thf(decl_69, type, emptyinPowerset: $o).
% 152.60/31.04 thf(decl_70, type, emptyInPowerset: $o).
% 152.60/31.04 thf(decl_71, type, powersetE: $o).
% 152.60/31.04 thf(decl_72, type, setunionI: $o).
% 152.60/31.04 thf(decl_73, type, setunionE: $o).
% 152.60/31.04 thf(decl_74, type, subPowSU: $o).
% 152.60/31.04 thf(decl_75, type, exuE2: $o).
% 152.60/31.04 thf(decl_76, type, nonemptyImpWitness: $o).
% 152.60/31.04 thf(decl_77, type, uniqinunit: $o).
% 152.60/31.04 thf(decl_78, type, notinsingleton: $o).
% 152.60/31.04 thf(decl_79, type, eqinunit: $o).
% 152.60/31.04 thf(decl_80, type, singletonsswitch: $o).
% 152.60/31.04 thf(decl_81, type, upairsetE: $o).
% 152.60/31.04 thf(decl_82, type, upairsetIL: $o).
% 152.60/31.04 thf(decl_83, type, upairsetIR: $o).
% 152.60/31.04 thf(decl_84, type, emptyE1: $o).
% 152.60/31.04 thf(decl_85, type, vacuousDall: $o).
% 152.60/31.04 thf(decl_86, type, quantDeMorgan1: $o).
% 152.60/31.04 thf(decl_87, type, quantDeMorgan2: $o).
% 152.60/31.04 thf(decl_88, type, quantDeMorgan3: $o).
% 152.60/31.04 thf(decl_89, type, quantDeMorgan4: $o).
% 152.60/31.04 thf(decl_90, type, prop2setI: $o).
% 152.60/31.04 thf(decl_92, type, prop2set2propI: $o).
% 152.60/31.04 thf(decl_93, type, notdexE: $o).
% 152.60/31.04 thf(decl_94, type, notdallE: $o).
% 152.60/31.04 thf(decl_95, type, exuI1: $o).
% 152.60/31.04 thf(decl_96, type, exuI3: $o).
% 152.60/31.04 thf(decl_97, type, exuI2: $o).
% 152.60/31.04 thf(decl_98, type, inCongP: $o).
% 152.60/31.04 thf(decl_99, type, in__Cong: $o).
% 152.60/31.04 thf(decl_100, type, exuE3u: $o).
% 152.60/31.04 thf(decl_101, type, exu__Cong: $o).
% 152.60/31.04 thf(decl_102, type, emptyset__Cong: $o).
% 152.60/31.04 thf(decl_103, type, setadjoin__Cong: $o).
% 152.60/31.04 thf(decl_104, type, powerset__Cong: $o).
% 152.60/31.04 thf(decl_105, type, setunion__Cong: $o).
% 152.60/31.04 thf(decl_106, type, omega__Cong: $o).
% 152.60/31.04 thf(decl_107, type, exuEu: $o).
% 152.60/31.04 thf(decl_108, type, descr__Cong: $o).
% 152.60/31.04 thf(decl_109, type, dsetconstr__Cong: $o).
% 152.60/31.04 thf(decl_110, type, subset: $i > $i > $o).
% 152.60/31.04 thf(decl_113, type, subsetI1: $o).
% 152.60/31.04 thf(decl_114, type, eqimpsubset2: $o).
% 152.60/31.04 thf(decl_115, type, eqimpsubset1: $o).
% 152.60/31.04 thf(decl_116, type, subsetI2: $o).
% 152.60/31.04 thf(decl_117, type, emptysetsubset: $o).
% 152.60/31.04 thf(decl_118, type, subsetE: $o).
% 152.60/31.04 thf(decl_119, type, subsetE2: $o).
% 152.60/31.04 thf(decl_120, type, notsubsetI: $o).
% 152.60/31.04 thf(decl_121, type, notequalI1: $o).
% 152.60/31.04 thf(decl_122, type, notequalI2: $o).
% 152.60/31.04 thf(decl_123, type, subsetRefl: $o).
% 152.60/31.04 thf(decl_124, type, subsetTrans: $o).
% 152.60/31.04 thf(decl_125, type, setadjoinSub: $o).
% 152.60/31.04 thf(decl_126, type, setadjoinSub2: $o).
% 152.60/31.04 thf(decl_127, type, subset2powerset: $o).
% 152.60/31.04 thf(decl_128, type, setextsub: $o).
% 152.60/31.04 thf(decl_129, type, subsetemptysetimpeq: $o).
% 152.60/31.04 thf(decl_130, type, powersetI1: $o).
% 152.60/31.04 thf(decl_131, type, powersetE1: $o).
% 152.60/31.04 thf(decl_132, type, inPowerset: $o).
% 152.60/31.04 thf(decl_133, type, powersetsubset: $o).
% 152.60/31.04 thf(decl_134, type, sepInPowerset: $o).
% 152.60/31.04 thf(decl_135, type, sepSubset: $o).
% 152.60/31.04 thf(decl_136, type, binunion: $i > $i > $i).
% 152.60/31.04 thf(decl_137, type, binunionIL: $o).
% 152.60/31.04 thf(decl_138, type, upairset2IR: $o).
% 152.60/31.04 thf(decl_139, type, binunionIR: $o).
% 152.60/31.04 thf(decl_140, type, binunionEcases: $o).
% 152.60/31.04 thf(decl_141, type, binunionE: $o).
% 152.60/31.04 thf(decl_142, type, binunionLsub: $o).
% 152.60/31.04 thf(decl_143, type, binunionRsub: $o).
% 152.60/31.04 thf(decl_144, type, binintersect: $i > $i > $i).
% 152.60/31.04 thf(decl_145, type, binintersectI: $o).
% 152.60/31.04 thf(decl_146, type, binintersectSubset5: $o).
% 152.60/31.04 thf(decl_147, type, binintersectEL: $o).
% 152.60/31.04 thf(decl_148, type, binintersectLsub: $o).
% 152.60/31.04 thf(decl_149, type, binintersectSubset2: $o).
% 152.60/31.04 thf(decl_150, type, binintersectSubset3: $o).
% 152.60/31.04 thf(decl_151, type, binintersectER: $o).
% 152.60/31.04 thf(decl_152, type, disjointsetsI1: $o).
% 152.60/31.04 thf(decl_153, type, binintersectRsub: $o).
% 152.60/31.04 thf(decl_154, type, binintersectSubset4: $o).
% 152.60/31.04 thf(decl_155, type, binintersectSubset1: $o).
% 152.60/31.04 thf(decl_156, type, bs114d: $o).
% 152.60/31.04 thf(decl_158, type, setminus: $i > $i > $i).
% 152.60/31.04 thf(decl_159, type, setminusI: $o).
% 152.60/31.04 thf(decl_160, type, setminusEL: $o).
% 152.60/31.04 thf(decl_161, type, setminusER: $o).
% 152.60/31.04 thf(decl_162, type, setminusSubset2: $o).
% 152.60/31.04 thf(decl_163, type, setminusERneg: $o).
% 152.60/31.04 thf(decl_164, type, setminusELneg: $o).
% 152.60/31.04 thf(decl_165, type, setminusILneg: $o).
% 152.60/31.04 thf(decl_166, type, setminusIRneg: $o).
% 152.60/31.04 thf(decl_167, type, setminusLsub: $o).
% 152.60/31.04 thf(decl_168, type, setminusSubset1: $o).
% 152.60/31.04 thf(decl_169, type, symdiff: $i > $i > $i).
% 152.60/31.04 thf(decl_170, type, symdiffE: $o).
% 152.60/31.04 thf(decl_171, type, symdiffI1: $o).
% 152.60/31.04 thf(decl_172, type, symdiffI2: $o).
% 152.60/31.04 thf(decl_173, type, symdiffIneg1: $o).
% 152.60/31.04 thf(decl_174, type, symdiffIneg2: $o).
% 152.60/31.04 thf(decl_175, type, iskpair: $i > $o).
% 152.60/31.04 thf(decl_176, type, secondinupair: $o).
% 152.60/31.04 thf(decl_177, type, setukpairIL: $o).
% 152.60/31.04 thf(decl_178, type, setukpairIR: $o).
% 152.60/31.04 thf(decl_179, type, kpairiskpair: $o).
% 152.60/31.04 thf(decl_180, type, kpair: $i > $i > $i).
% 152.60/31.04 thf(decl_181, type, kpairp: $o).
% 152.60/31.04 thf(decl_182, type, cartprod: $i > $i > $i).
% 152.60/31.04 thf(decl_183, type, singletonsubset: $o).
% 152.60/31.04 thf(decl_184, type, singletoninpowerset: $o).
% 152.60/31.04 thf(decl_185, type, singletoninpowunion: $o).
% 152.60/31.04 thf(decl_186, type, upairset2E: $o).
% 152.60/31.04 thf(decl_187, type, upairsubunion: $o).
% 152.60/31.04 thf(decl_188, type, upairinpowunion: $o).
% 152.60/31.04 thf(decl_189, type, ubforcartprodlem1: $o).
% 152.60/31.04 thf(decl_190, type, ubforcartprodlem2: $o).
% 152.60/31.04 thf(decl_191, type, ubforcartprodlem3: $o).
% 152.60/31.04 thf(decl_192, type, cartprodpairin: $o).
% 152.60/31.04 thf(decl_193, type, cartprodmempair1: $o).
% 152.60/31.04 thf(decl_194, type, cartprodmempair: $o).
% 152.60/31.04 thf(decl_195, type, setunionE2: $o).
% 152.60/31.04 thf(decl_196, type, setunionsingleton1: $o).
% 152.60/31.04 thf(decl_197, type, setunionsingleton2: $o).
% 152.60/31.04 thf(decl_198, type, setunionsingleton: $o).
% 152.60/31.04 thf(decl_199, type, singleton: $i > $o).
% 152.60/31.04 thf(decl_200, type, singletonprop: $o).
% 152.60/31.04 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 152.60/31.04 thf(decl_202, type, ex1E1: $o).
% 152.60/31.04 thf(decl_203, type, ex1I: $o).
% 152.60/31.04 thf(decl_204, type, ex1I2: $o).
% 152.60/31.04 thf(decl_205, type, singletonsuniq: $o).
% 152.60/31.04 thf(decl_210, type, setukpairinjL1: $o).
% 152.60/31.04 thf(decl_211, type, kfstsingleton: $o).
% 152.60/31.04 thf(decl_212, type, theprop: $o).
% 152.60/31.04 thf(decl_213, type, kfst: $i > $i).
% 152.60/31.04 thf(decl_214, type, kfstpairEq: $o).
% 152.60/31.04 thf(decl_215, type, cartprodfstin: $o).
% 152.60/31.04 thf(decl_216, type, setukpairinjL2: $o).
% 152.60/31.04 thf(decl_217, type, setukpairinjL: $o).
% 152.60/31.04 thf(decl_218, type, setukpairinjR11: $o).
% 152.60/31.04 thf(decl_219, type, setukpairinjR12: $o).
% 152.60/31.04 thf(decl_220, type, setukpairinjR1: $o).
% 152.60/31.04 thf(decl_221, type, upairequniteq: $o).
% 152.60/31.04 thf(decl_222, type, setukpairinjR2: $o).
% 152.60/31.04 thf(decl_223, type, setukpairinjR: $o).
% 152.60/31.04 thf(decl_224, type, ksndsingleton: $o).
% 152.60/31.04 thf(decl_225, type, ksnd: $i > $i).
% 152.60/31.04 thf(decl_226, type, ksndpairEq: $o).
% 152.60/31.04 thf(decl_227, type, kpairsurjEq: $o).
% 152.60/31.04 thf(decl_228, type, cartprodsndin: $o).
% 152.60/31.04 thf(decl_229, type, cartprodpairmemEL: $o).
% 152.60/31.04 thf(decl_230, type, cartprodpairmemER: $o).
% 152.60/31.04 thf(decl_231, type, cartprodmempaircEq: $o).
% 152.60/31.04 thf(decl_232, type, cartprodfstpairEq: $o).
% 152.60/31.04 thf(decl_233, type, cartprodsndpairEq: $o).
% 152.60/31.04 thf(decl_234, type, cartprodpairsurjEq: $o).
% 152.60/31.04 thf(decl_235, type, breln: $i > $i > $i > $o).
% 152.60/31.04 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 152.60/31.04 thf(decl_237, type, dpsetconstrI: $o).
% 152.60/31.04 thf(decl_238, type, dpsetconstrSub: $o).
% 152.60/31.04 thf(decl_239, type, setOfPairsIsBReln: $o).
% 152.60/31.04 thf(decl_240, type, dpsetconstrERa: $o).
% 152.60/31.04 thf(decl_241, type, dpsetconstrEL1: $o).
% 152.60/31.04 thf(decl_242, type, dpsetconstrEL2: $o).
% 152.60/31.04 thf(decl_243, type, dpsetconstrER: $o).
% 152.60/31.04 thf(decl_244, type, func: $i > $i > $i > $o).
% 152.60/31.04 thf(decl_245, type, funcSet: $i > $i > $i).
% 152.60/31.04 thf(decl_246, type, funcImageSingleton: $o).
% 152.60/31.04 thf(decl_247, type, apProp: $o).
% 152.60/31.04 thf(decl_248, type, ap: $i > $i > $i > $i > $i).
% 152.60/31.04 thf(decl_249, type, app: $o).
% 152.60/31.04 thf(decl_250, type, infuncsetfunc: $o).
% 152.60/31.04 thf(decl_251, type, ap2p: $o).
% 152.60/31.04 thf(decl_252, type, funcinfuncset: $o).
% 152.60/31.04 thf(decl_253, type, lamProp: $o).
% 152.60/31.04 thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
% 152.60/31.04 thf(decl_255, type, lamp: $o).
% 152.60/31.04 thf(decl_256, type, lam2p: $o).
% 152.60/31.04 thf(decl_257, type, brelnall1: $o).
% 152.60/31.04 thf(decl_258, type, brelnall2: $o).
% 152.60/31.04 thf(decl_259, type, ex1E2: $o).
% 152.60/31.04 thf(decl_260, type, funcGraphProp1: $o).
% 152.60/31.04 thf(decl_261, type, funcGraphProp3: $o).
% 152.60/31.04 thf(decl_262, type, funcGraphProp2: $o).
% 152.60/31.04 thf(decl_263, type, funcextLem: $o).
% 152.60/31.04 thf(decl_264, type, funcGraphProp4: $o).
% 152.60/31.04 thf(decl_265, type, subbreln: $o).
% 152.60/31.04 thf(decl_266, type, eqbreln: $o).
% 152.60/31.04 thf(decl_267, type, funcext: $o).
% 152.60/31.04 thf(decl_268, type, funcext2: $o).
% 152.60/31.04 thf(decl_269, type, ap2apEq1: $o).
% 152.60/31.04 thf(decl_270, type, ap2apEq2: $o).
% 152.60/31.04 thf(decl_271, type, beta1: $o).
% 152.60/31.04 thf(decl_272, type, eta1: $o).
% 152.60/31.04 thf(decl_273, type, lam2lamEq: $o).
% 152.60/31.04 thf(decl_274, type, beta2: $o).
% 152.60/31.04 thf(decl_275, type, eta2: $o).
% 152.60/31.04 thf(decl_276, type, iffalseProp1: $o).
% 152.60/31.04 thf(decl_277, type, iffalseProp2: $o).
% 152.60/31.04 thf(decl_278, type, iftrueProp1: $o).
% 152.60/31.04 thf(decl_279, type, iftrueProp2: $o).
% 152.60/31.04 thf(decl_280, type, ifSingleton: $o).
% 152.60/31.04 thf(decl_281, type, if: $i > $o > $i > $i > $i).
% 152.60/31.04 thf(decl_282, type, ifp: $o).
% 152.60/31.04 thf(decl_283, type, theeq: $o).
% 152.60/31.04 thf(decl_284, type, iftrue: $o).
% 152.60/31.04 thf(decl_285, type, iffalse: $o).
% 152.60/31.04 thf(decl_286, type, iftrueorfalse: $o).
% 152.60/31.04 thf(decl_287, type, binintersectT_lem: $o).
% 152.60/31.04 thf(decl_288, type, binunionT_lem: $o).
% 152.60/31.04 thf(decl_289, type, powersetT_lem: $o).
% 152.60/31.04 thf(decl_290, type, setminusT_lem: $o).
% 152.60/31.04 thf(decl_291, type, complementT_lem: $o).
% 152.60/31.04 thf(decl_292, type, setextT: $o).
% 152.60/31.04 thf(decl_293, type, subsetTI: $o).
% 152.60/31.04 thf(decl_294, type, powersetTI1: $o).
% 152.60/31.04 thf(decl_295, type, powersetTE1: $o).
% 152.60/31.04 thf(decl_296, type, complementTI1: $o).
% 152.60/31.04 thf(decl_297, type, complementTE1: $o).
% 152.60/31.04 thf(decl_298, type, binintersectTELcontra: $o).
% 152.60/31.04 thf(decl_299, type, binintersectTERcontra: $o).
% 152.60/31.04 thf(decl_300, type, contrasubsetT: $o).
% 152.60/31.04 thf(decl_301, type, contrasubsetT1: $o).
% 152.60/31.04 thf(decl_302, type, contrasubsetT2: $o).
% 152.60/31.04 thf(decl_303, type, contrasubsetT3: $o).
% 152.60/31.04 thf(decl_304, type, doubleComplementI1: $o).
% 152.60/31.04 thf(decl_305, type, doubleComplementE1: $o).
% 152.60/31.04 thf(decl_306, type, doubleComplementSub1: $o).
% 152.60/31.04 thf(decl_307, type, doubleComplementSub2: $o).
% 152.60/31.04 thf(decl_308, type, doubleComplementEq: $o).
% 152.60/31.04 thf(decl_309, type, complementTnotintersectT: $o).
% 152.60/31.04 thf(decl_310, type, complementImpComplementIntersect: $o).
% 152.60/31.04 thf(decl_311, type, complementSubsetComplementIntersect: $o).
% 152.60/31.04 thf(decl_312, type, complementInPowersetComplementIntersect: $o).
% 152.60/31.04 thf(decl_313, type, contraSubsetComplement: $o).
% 152.60/31.04 thf(decl_314, type, complementTcontraSubset: $o).
% 152.60/31.05 thf(decl_315, type, binunionTILcontra: $o).
% 152.60/31.05 thf(decl_316, type, binunionTIRcontra: $o).
% 152.60/31.05 thf(decl_317, type, inIntersectImpInUnion: $o).
% 152.60/31.05 thf(decl_318, type, inIntersectImpInUnion2: $o).
% 152.60/31.05 thf(decl_319, type, inIntersectImpInIntersectUnions: $o).
% 152.60/31.05 thf(decl_320, type, intersectInPowersetIntersectUnions: $o).
% 152.60/31.05 thf(decl_321, type, inComplementUnionImpNotIn1: $o).
% 152.60/31.05 thf(decl_322, type, inComplementUnionImpInComplement1: $o).
% 152.60/31.05 thf(decl_323, type, binunionTE: $o).
% 152.60/31.05 thf(decl_324, type, binunionTEcontra: $o).
% 152.60/31.05 thf(decl_325, type, demorgan2a1: $o).
% 152.60/31.05 thf(decl_326, type, complementUnionInPowersetComplement: $o).
% 152.60/31.05 thf(decl_327, type, demorgan2a2: $o).
% 152.60/31.05 thf(decl_328, type, demorgan1a: $o).
% 152.60/31.05 thf(decl_329, type, demorgan1b: $o).
% 152.60/31.05 thf(decl_330, type, demorgan1: $o).
% 152.60/31.05 thf(decl_331, type, demorgan2a: $o).
% 152.60/31.05 thf(decl_332, type, demorgan2b2: $o).
% 152.60/31.05 thf(decl_333, type, demorgan2b: $o).
% 152.60/31.05 thf(decl_334, type, demorgan2: $o).
% 152.60/31.05 thf(decl_335, type, woz13rule0: $o).
% 152.60/31.05 thf(decl_336, type, woz13rule1: $o).
% 152.60/31.05 thf(decl_337, type, woz13rule2: $o).
% 152.60/31.05 thf(decl_338, type, woz13rule3: $o).
% 152.60/31.05 thf(decl_339, type, woz13rule4: $o).
% 152.60/31.05 thf(decl_340, type, woz1_1: $o).
% 152.60/31.05 thf(decl_341, type, woz1_2: $o).
% 152.60/31.05 thf(decl_342, type, woz1_3: $o).
% 152.60/31.05 thf(decl_343, type, woz1_4: $o).
% 152.60/31.05 thf(decl_344, type, woz1_5: $o).
% 152.60/31.05 thf(decl_345, type, breln1: $i > $i > $o).
% 152.60/31.05 thf(decl_346, type, breln1all2: $o).
% 152.60/31.05 thf(decl_347, type, breln1Set: $i > $i).
% 152.60/31.05 thf(decl_348, type, breln1SetBreln1: $o).
% 152.60/31.05 thf(decl_355, type, choice2fnsingleton: $o).
% 152.60/31.05 thf(decl_356, type, setOfPairsIsBReln1: $o).
% 152.60/31.05 thf(decl_357, type, breln1all1: $o).
% 152.60/31.05 thf(decl_358, type, subbreln1: $o).
% 152.60/31.05 thf(decl_359, type, eqbreln1: $o).
% 152.60/31.05 thf(decl_360, type, breln1invset: $i > $i > $i).
% 152.60/31.05 thf(decl_361, type, breln1invprop: $o).
% 152.60/31.05 thf(decl_362, type, breln1invI: $o).
% 152.60/31.05 thf(decl_363, type, breln1invE: $o).
% 152.60/31.05 thf(decl_364, type, breln1compset: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_365, type, breln1compprop: $o).
% 152.60/31.05 thf(decl_366, type, breln1compI: $o).
% 152.60/31.05 thf(decl_367, type, breln1compE: $o).
% 152.60/31.05 thf(decl_368, type, breln1compEex: $o).
% 152.60/31.05 thf(decl_369, type, breln1unionprop: $o).
% 152.60/31.05 thf(decl_370, type, breln1unionIL: $o).
% 152.60/31.05 thf(decl_371, type, breln1unionIR: $o).
% 152.60/31.05 thf(decl_372, type, breln1unionI: $o).
% 152.60/31.05 thf(decl_373, type, breln1unionE: $o).
% 152.60/31.05 thf(decl_374, type, breln1unionEcases: $o).
% 152.60/31.05 thf(decl_375, type, breln1unionCommutes: $o).
% 152.60/31.05 thf(decl_376, type, woz2Ex: $o).
% 152.60/31.05 thf(decl_377, type, woz2W: $o).
% 152.60/31.05 thf(decl_378, type, woz2A: $o).
% 152.60/31.05 thf(decl_379, type, woz2B: $o).
% 152.60/31.05 thf(decl_380, type, image1Ex: $o).
% 152.60/31.05 thf(decl_381, type, image1Ex1: $o).
% 152.60/31.05 thf(decl_382, type, image1: $i > ($i > $i) > $i).
% 152.60/31.05 thf(decl_383, type, image1Equiv: $o).
% 152.60/31.05 thf(decl_384, type, image1E: $o).
% 152.60/31.05 thf(decl_385, type, image1I: $o).
% 152.60/31.05 thf(decl_386, type, injective: $i > $i > $i > $o).
% 152.60/31.05 thf(decl_387, type, injFuncSet: $i > $i > $i).
% 152.60/31.05 thf(decl_388, type, injFuncInInjFuncSet: $o).
% 152.60/31.05 thf(decl_389, type, injFuncSetFuncIn: $o).
% 152.60/31.05 thf(decl_390, type, injFuncSetFuncInj: $o).
% 152.60/31.05 thf(decl_391, type, surjective: $i > $i > $i > $o).
% 152.60/31.05 thf(decl_392, type, surjFuncSet: $i > $i > $i).
% 152.60/31.05 thf(decl_393, type, surjFuncSetFuncIn: $o).
% 152.60/31.05 thf(decl_394, type, surjFuncSetFuncSurj: $o).
% 152.60/31.05 thf(decl_395, type, leftInvIsSurj: $o).
% 152.60/31.05 thf(decl_396, type, surjCantorThm: $o).
% 152.60/31.05 thf(decl_397, type, epred1_0: $o).
% 152.60/31.05 thf(decl_398, type, esk1_2: $i > $i > $i).
% 152.60/31.05 thf(decl_399, type, esk2_2: $i > $i > $i).
% 152.60/31.05 thf(decl_400, type, esk3_2: $i > $i > $i).
% 152.60/31.05 thf(decl_401, type, esk4_1: $i > $i).
% 152.60/31.05 thf(decl_402, type, esk5_2: ($i > $i > $o) > $i > $i).
% 152.60/31.05 thf(decl_403, type, esk6_2: ($i > $i > $o) > $i > $i).
% 152.60/31.05 thf(decl_404, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 152.60/31.05 thf(decl_405, type, esk8_1: $i > $i).
% 152.60/31.05 thf(decl_406, type, esk9_1: ($i > $o) > $i).
% 152.60/31.05 thf(decl_407, type, esk10_1: ($i > $o) > $i).
% 152.60/31.05 thf(decl_408, type, esk11_2: $i > $i > $i).
% 152.60/31.05 thf(decl_409, type, esk12_2: $i > $i > $i).
% 152.60/31.05 thf(decl_410, type, esk13_1: $i > $i).
% 152.60/31.05 thf(decl_411, type, esk14_1: $i > $i).
% 152.60/31.05 thf(decl_412, type, esk15_1: $i > $i).
% 152.60/31.05 thf(decl_413, type, esk16_2: $i > $i > $i).
% 152.60/31.05 thf(decl_414, type, esk17_3: $i > $i > $o > $i).
% 152.60/31.05 thf(decl_415, type, esk18_1: ($i > $o) > $i).
% 152.60/31.05 thf(decl_416, type, esk19_1: $i > $i).
% 152.60/31.05 thf(decl_417, type, esk20_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_418, type, esk21_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_419, type, esk22_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_420, type, esk23_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_421, type, esk24_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_422, type, esk25_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_423, type, esk26_2: ($i > $o) > $i > $i).
% 152.60/31.05 thf(decl_424, type, esk27_1: ($i > $o) > $i).
% 152.60/31.05 thf(decl_425, type, esk28_1: ($i > $o) > $i).
% 152.60/31.05 thf(decl_426, type, esk29_2: ($i > $o) > $i > $i).
% 152.60/31.05 thf(decl_427, type, esk30_2: ($i > $o) > ($i > $o) > $i).
% 152.60/31.05 thf(decl_428, type, esk31_2: ($i > $o) > ($i > $o) > $i).
% 152.60/31.05 thf(decl_429, type, esk32_2: ($i > $o) > ($i > $o) > $i).
% 152.60/31.05 thf(decl_430, type, esk33_2: ($i > $o) > ($i > $o) > $i).
% 152.60/31.05 thf(decl_431, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 152.60/31.05 thf(decl_432, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 152.60/31.05 thf(decl_433, type, esk36_2: $i > $i > $i).
% 152.60/31.05 thf(decl_434, type, esk37_2: $i > $i > $i).
% 152.60/31.05 thf(decl_435, type, esk38_2: $i > $i > $i).
% 152.60/31.05 thf(decl_436, type, esk39_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_437, type, esk40_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_438, type, esk41_2: $i > $i > $i).
% 152.60/31.05 thf(decl_439, type, esk42_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_440, type, esk43_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_441, type, esk44_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_442, type, esk45_3: $i > ($i > $o) > $i > $i).
% 152.60/31.05 thf(decl_443, type, esk46_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_444, type, esk47_2: $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_445, type, esk48_3: $i > $i > ($i > $i) > $i).
% 152.60/31.05 thf(decl_446, type, esk49_3: $i > $i > ($i > $i) > $i).
% 152.60/31.05 thf(decl_447, type, esk50_3: $i > $i > ($i > $i) > $i).
% 152.60/31.05 thf(decl_448, type, esk51_4: $i > $i > $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_449, type, esk52_4: $i > $i > $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_450, type, esk53_4: $i > $i > $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_451, type, esk54_4: $i > $i > $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_452, type, esk55_4: $i > $i > $i > $i > $i).
% 152.60/31.05 thf(decl_453, type, esk56_4: $i > $i > $i > $i > $i).
% 152.60/31.05 thf(decl_454, type, esk57_4: $i > $i > $i > $i > $i).
% 152.60/31.05 thf(decl_455, type, esk58_4: $i > $i > $i > $i > $i).
% 152.60/31.05 thf(decl_456, type, esk59_4: $i > $i > $i > $i > $i).
% 152.60/31.05 thf(decl_457, type, esk60_4: $i > $i > $i > $i > $i).
% 152.60/31.05 thf(decl_458, type, esk61_4: $i > $i > $i > $i > $i).
% 152.60/31.05 thf(decl_459, type, esk62_4: $i > $i > $i > $i > $i).
% 152.60/31.05 thf(decl_460, type, esk63_4: $i > $i > $i > $i > $i).
% 152.60/31.05 thf(decl_461, type, esk64_3: $i > $i > ($i > $i) > $i).
% 152.60/31.05 thf(decl_462, type, esk65_3: $i > $i > ($i > $i) > $i).
% 152.60/31.05 thf(decl_463, type, esk66_3: $i > $i > ($i > $i) > $i).
% 152.60/31.05 thf(decl_464, type, esk67_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_465, type, esk68_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_466, type, esk69_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_467, type, esk70_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_468, type, esk71_3: $i > $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_469, type, esk72_3: $i > $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_470, type, esk73_3: $i > $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_471, type, esk74_3: $i > $i > ($i > $o) > $i).
% 152.60/31.05 thf(decl_472, type, esk75_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_473, type, esk76_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_474, type, esk77_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_475, type, esk78_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_476, type, esk79_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_477, type, esk80_3: $i > $i > $i > $i).
% 152.60/31.05 thf(decl_478, type, esk81_5: $i > $i > $i > $i > $i > $i).
% 152.60/31.05 thf(decl_479, type, esk82_6: $i > $i > $i > $i > $i > $o > $i).
% 152.60/31.05 thf(decl_480, type, esk83_2: $i > ($i > $i) > $i).
% 152.60/31.05 thf(decl_481, type, esk84_3: $i > ($i > $i) > $i > $i).
% 152.60/31.05 thf(decl_482, type, esk85_3: $i > ($i > $i) > $i > $i).
% 152.60/31.05 thf(decl_483, type, esk86_3: $i > ($i > $i) > $i > $i).
% 152.60/31.05 thf(decl_484, type, esk87_3: $i > $i > ($i > $i) > $i).
% 152.60/31.05 thf(decl_485, type, esk88_4: $i > $i > ($i > $i) > $i > $i).
% 152.60/31.05 thf(decl_486, type, esk89_0: $i).
% 152.60/31.05 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', nonempty)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', nonemptyI)).
% 152.60/31.05 thf(foundation2, 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)=>![X4:$i]:(((nonempty @ X4)=>?[X21:$i]:(((in @ X21 @ X4)&((binintersect @ X21 @ X4)=(emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', foundation2)).
% 152.60/31.05 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', descr__Cong)).
% 152.60/31.05 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', exuEu)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', exuE3u)).
% 152.60/31.05 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', dsetconstr__Cong)).
% 152.60/31.05 thf(setOfPairsIsBReln1, axiom, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((X53 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setOfPairsIsBReln1)).
% 152.60/31.05 thf(image1Ex1, axiom, ((image1Ex1)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', image1Ex1)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', image1Equiv)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', image1E)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', image1I)).
% 152.60/31.05 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', sepSubset)).
% 152.60/31.05 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', sepInPowerset)).
% 152.60/31.05 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', exu__Cong)).
% 152.60/31.05 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', dpsetconstrEL2)).
% 152.60/31.05 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', singletonprop)).
% 152.60/31.05 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', ex1E1)).
% 152.60/31.05 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', kfstsingleton)).
% 152.60/31.05 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', ex1I2)).
% 152.60/31.05 thf(ex1I, axiom, ((ex1I)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', ex1I)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', ksndsingleton)).
% 152.60/31.05 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:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', dpsetconstrEL1)).
% 152.60/31.05 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', dpsetconstrERa)).
% 152.60/31.05 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setOfPairsIsBReln)).
% 152.60/31.05 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', dpsetconstrSub)).
% 152.60/31.05 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', dpsetconstrI)).
% 152.60/31.05 thf(apProp, axiom, ((apProp)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', apProp)).
% 152.60/31.05 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', funcImageSingleton)).
% 152.60/31.05 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', dpsetconstrER)).
% 152.60/31.05 thf(lamProp, axiom, ((lamProp)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', lamProp)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', ex1E2)).
% 152.60/31.05 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:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', lam2p)).
% 152.60/31.05 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', lamp)).
% 152.60/31.05 thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', iffalseProp2)).
% 152.60/31.05 thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X39))&(((X14)=(X2)))))|(((~((X39)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', iffalseProp1)).
% 152.60/31.05 thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', eta2)).
% 152.60/31.05 thf(beta2, axiom, ((beta2)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', beta2)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', lam2lamEq)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', eta1)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', beta1)).
% 152.60/31.05 thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X41))&(((X14)=(X2)))))|(((~((X41)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', iftrueProp1)).
% 152.60/31.05 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', ifSingleton)).
% 152.60/31.05 thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X42))&(((X14)=(X2)))))|(((~((X42)))&(((X14)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', iftrueProp2)).
% 152.60/31.05 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', exuI2)).
% 152.60/31.05 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', exuI3)).
% 152.60/31.05 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', exuI1)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', emptyE1)).
% 152.60/31.05 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', nonemptyImpWitness)).
% 152.60/31.05 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', exuE2)).
% 152.60/31.05 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setoftrueEq)).
% 152.60/31.05 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', nonemptyI1)).
% 152.60/31.05 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', nonemptyE1)).
% 152.60/31.05 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setbeta)).
% 152.60/31.05 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', exuE3e)).
% 152.60/31.05 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', exuE1)).
% 152.60/31.05 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', dsetconstrER)).
% 152.60/31.05 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', dsetconstrEL)).
% 152.60/31.05 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', dsetconstrI)).
% 152.60/31.05 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', descrp)).
% 152.60/31.05 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', replAx)).
% 152.60/31.05 thf(demorgan2a1, axiom, ((demorgan2a1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', demorgan2a1)).
% 152.60/31.05 thf(binunionTEcontra, axiom, ((binunionTEcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binunionTEcontra)).
% 152.60/31.05 thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', complementUnionInPowersetComplement)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', demorgan2a2)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', demorgan1a)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', demorgan1b)).
% 152.60/31.05 thf(demorgan1, axiom, ((demorgan1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ X21 @ X48))=(binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', demorgan1)).
% 152.60/31.05 thf(demorgan2a, axiom, ((demorgan2a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', demorgan2a)).
% 152.60/31.05 thf(demorgan2b2, axiom, ((demorgan2b2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>((in @ X2 @ (setminus @ X4 @ X48))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', demorgan2b2)).
% 152.60/31.05 thf(demorgan2b, axiom, ((demorgan2b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', demorgan2b)).
% 152.60/31.05 thf(demorgan2, axiom, ((demorgan2)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', demorgan2)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', woz13rule0)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', woz13rule1)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', woz13rule2)).
% 152.60/31.05 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', omega__Cong)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', woz13rule3)).
% 152.60/31.05 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setunion__Cong)).
% 152.60/31.05 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:$i]:(((in @ X51 @ (powerset @ X4))=>((subset @ X21 @ X49)=>((subset @ X48 @ X51)=>(subset @ (binintersect @ X21 @ X48) @ (binintersect @ X49 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', woz13rule4)).
% 152.60/31.05 thf(woz1_1, axiom, ((woz1_1)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', woz1_1)).
% 152.60/31.05 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', powerset__Cong)).
% 152.60/31.05 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:$i]:(((in @ X51 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ (binunion @ X21 @ X48) @ (binunion @ X49 @ X51)))=(binunion @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)) @ (binintersect @ (setminus @ X4 @ X49) @ (setminus @ X4 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', woz1_2)).
% 152.60/31.05 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setadjoin__Cong)).
% 152.60/31.05 thf(woz1_3, axiom, ((woz1_3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', woz1_3)).
% 152.60/31.05 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', emptyset__Cong)).
% 152.60/31.05 thf(woz1_4, axiom, ((woz1_4)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', woz1_4)).
% 152.60/31.05 thf(woz1_5, axiom, ((woz1_5)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', woz1_5)).
% 152.60/31.05 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setextsub)).
% 152.60/31.05 thf(breln1all2, axiom, ((breln1all2)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', breln1all2)).
% 152.60/31.05 thf(breln1SetBreln1, axiom, ((breln1SetBreln1)<=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1SetBreln1)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', breln1all1)).
% 152.60/31.05 thf(subbreln1, axiom, ((subbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subbreln1)).
% 152.60/31.05 thf(eqbreln1, axiom, ((eqbreln1)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', eqbreln1)).
% 152.60/31.05 thf(breln1invprop, axiom, ((breln1invprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>(breln1 @ X4 @ (breln1invset @ X4 @ X33))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1invprop)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', breln1invI)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', breln1invE)).
% 152.60/31.05 thf(breln1compprop, axiom, ((breln1compprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (breln1compset @ X4 @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1compprop)).
% 152.60/31.05 thf(breln1compI, axiom, ((breln1compI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1compI)).
% 152.60/31.05 thf(breln1compE, axiom, ((breln1compE)<=>![X4:$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:$i]:((((in @ X14 @ X4)&(in @ (kpair @ X2 @ X14) @ X33))&(in @ (kpair @ X14 @ X3) @ X35))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1compE)).
% 152.60/31.05 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subsetE2)).
% 152.60/31.05 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:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(X54)))))=>(X54))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1compEex)).
% 152.60/31.05 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subsetE)).
% 152.60/31.05 thf(breln1unionprop, axiom, ((breln1unionprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (binunion @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1unionprop)).
% 152.60/31.05 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', emptysetsubset)).
% 152.60/31.05 thf(breln1unionIL, axiom, ((breln1unionIL)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1unionIL)).
% 152.60/31.05 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subsetI2)).
% 152.60/31.05 thf(breln1unionIR, axiom, ((breln1unionIR)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1unionIR)).
% 152.60/31.05 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', eqimpsubset1)).
% 152.60/31.05 thf(breln1unionI, axiom, ((breln1unionI)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', breln1unionI)).
% 152.60/31.05 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', eqimpsubset2)).
% 152.60/31.05 thf(breln1unionE, axiom, ((breln1unionE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))=>((in @ (kpair @ X2 @ X3) @ X33)|(in @ (kpair @ X2 @ X3) @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1unionE)).
% 152.60/31.05 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subsetI1)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', breln1unionEcases)).
% 152.60/31.05 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', notsubsetI)).
% 152.60/31.05 thf(breln1unionCommutes, axiom, ((breln1unionCommutes)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>((binunion @ X33 @ X35)=(binunion @ X35 @ X33))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', breln1unionCommutes)).
% 152.60/31.05 thf(woz2Ex, axiom, ((woz2Ex)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>((X33)=(breln1invset @ X4 @ (breln1invset @ X4 @ X33)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', woz2Ex)).
% 152.60/31.05 thf(woz2W, axiom, ((woz2W)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>((breln1invset @ X4 @ (breln1compset @ X4 @ X33 @ X35))=(breln1compset @ X4 @ (breln1invset @ X4 @ X35) @ (breln1invset @ X4 @ X33)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', woz2W)).
% 152.60/31.05 thf(woz2A, axiom, ((woz2A)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X56:$i]:(((breln1 @ X4 @ X56)=>((breln1compset @ X4 @ (binunion @ X33 @ X35) @ X56)=(binunion @ (breln1compset @ X4 @ X33 @ X56) @ (breln1compset @ X4 @ X35 @ X56)))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', woz2A)).
% 152.60/31.05 thf(woz2B, axiom, ((woz2B)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X56:$i]:(((breln1 @ X4 @ X56)=>((breln1compset @ X4 @ (binunion @ X33 @ X35) @ X56)=(binunion @ (breln1invset @ X4 @ (breln1compset @ X4 @ (breln1invset @ X4 @ X56) @ (breln1invset @ X4 @ X35))) @ (breln1invset @ X4 @ (breln1compset @ X4 @ (breln1invset @ X4 @ X56) @ (breln1invset @ X4 @ X33)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', woz2B)).
% 152.60/31.05 thf(image1Ex, axiom, ((image1Ex)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', image1Ex)).
% 152.60/31.05 thf(injFuncInInjFuncSet, axiom, ((injFuncInInjFuncSet)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((injective @ X4 @ X5 @ X29)=>(in @ X29 @ (injFuncSet @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', injFuncInInjFuncSet)).
% 152.60/31.05 thf(injFuncSetFuncIn, axiom, ((injFuncSetFuncIn)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (injFuncSet @ X4 @ X5))=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', injFuncSetFuncIn)).
% 152.60/31.05 thf(injFuncSetFuncInj, axiom, ((injFuncSetFuncInj)<=>![X2:$i, X3:$i, X29:$i]:(((in @ X29 @ (injFuncSet @ X2 @ X3))=>(injective @ X2 @ X3 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', injFuncSetFuncInj)).
% 152.60/31.05 thf(surjFuncSetFuncIn, axiom, ((surjFuncSetFuncIn)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (surjFuncSet @ X4 @ X5))=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', surjFuncSetFuncIn)).
% 152.60/31.05 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subset2powerset)).
% 152.60/31.05 thf(surjFuncSetFuncSurj, axiom, ((surjFuncSetFuncSurj)<=>![X2:$i, X3:$i, X29:$i]:(((in @ X29 @ (surjFuncSet @ X2 @ X3))=>(surjective @ X2 @ X3 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', surjFuncSetFuncSurj)).
% 152.60/31.05 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setadjoinSub2)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', leftInvIsSurj)).
% 152.60/31.05 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setadjoinSub)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', surjCantorThm)).
% 152.60/31.05 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subsetTrans)).
% 152.60/31.05 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subsetRefl)).
% 152.60/31.05 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', notequalI2)).
% 152.60/31.05 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', notequalI1)).
% 152.60/31.05 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binintersectSubset1)).
% 152.60/31.05 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setminusELneg)).
% 152.60/31.05 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', powersetsubset)).
% 152.60/31.05 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', inPowerset)).
% 152.60/31.05 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', powersetE1)).
% 152.60/31.05 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', powersetI1)).
% 152.60/31.05 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subsetemptysetimpeq)).
% 152.60/31.05 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binunionIL)).
% 152.60/31.05 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binintersectI)).
% 152.60/31.05 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binunionRsub)).
% 152.60/31.05 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binunionLsub)).
% 152.60/31.05 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binunionE)).
% 152.60/31.05 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binunionEcases)).
% 152.60/31.05 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binunionIR)).
% 152.60/31.05 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', upairset2IR)).
% 152.60/31.05 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binintersectSubset5)).
% 152.60/31.05 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binintersectRsub)).
% 152.60/31.05 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', disjointsetsI1)).
% 152.60/31.05 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binintersectER)).
% 152.60/31.05 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binintersectSubset3)).
% 152.60/31.05 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binintersectSubset2)).
% 152.60/31.05 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binintersectLsub)).
% 152.60/31.05 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binintersectEL)).
% 152.60/31.05 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binintersectSubset4)).
% 152.60/31.05 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setminusERneg)).
% 152.60/31.05 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setminusSubset2)).
% 152.60/31.05 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setminusER)).
% 152.60/31.05 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setminusEL)).
% 152.60/31.05 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setminusI)).
% 152.60/31.05 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', bs114d)).
% 152.60/31.05 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', cartprodsndpairEq)).
% 152.60/31.05 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', funcinfuncset)).
% 152.60/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', ap2p)).
% 182.89/31.05 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', symdiffI2)).
% 182.89/31.05 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', symdiffI1)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', symdiffE)).
% 182.89/31.05 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setminusSubset1)).
% 182.89/31.05 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setminusLsub)).
% 182.89/31.05 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setminusIRneg)).
% 182.89/31.05 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setminusILneg)).
% 182.89/31.05 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', symdiffIneg1)).
% 182.89/31.05 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', singletonsubset)).
% 182.89/31.05 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', kpairp)).
% 182.89/31.05 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', kpairiskpair)).
% 182.89/31.05 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setukpairIR)).
% 182.89/31.05 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setukpairIL)).
% 182.89/31.05 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', secondinupair)).
% 182.89/31.05 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', symdiffIneg2)).
% 182.89/31.05 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', singletoninpowerset)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', ubforcartprodlem3)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', ubforcartprodlem2)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', ubforcartprodlem1)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', upairinpowunion)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', upairsubunion)).
% 182.89/31.05 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', upairset2E)).
% 182.89/31.05 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', singletoninpowunion)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', cartprodpairin)).
% 182.89/31.05 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setunionsingleton)).
% 182.89/31.05 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setunionsingleton2)).
% 182.89/31.05 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setunionsingleton1)).
% 182.89/31.05 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setunionE2)).
% 182.89/31.05 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', cartprodmempair)).
% 182.89/31.05 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', cartprodmempair1)).
% 182.89/31.05 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', kfstpairEq)).
% 182.89/31.05 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', theprop)).
% 182.89/31.05 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$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.vDaPNe3kS8/E---3.1_3445296.p', setukpairinjL1)).
% 182.89/31.05 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', singletonsuniq)).
% 182.89/31.05 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', cartprodfstin)).
% 182.89/31.05 thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setukpairinjR2)).
% 182.89/31.05 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', upairequniteq)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', setukpairinjR1)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', setukpairinjR12)).
% 182.89/31.05 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setukpairinjR11)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', setukpairinjL)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', setukpairinjL2)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', setukpairinjR)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', cartprodmempaircEq)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', cartprodpairmemER)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', cartprodpairmemEL)).
% 182.89/31.05 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', cartprodsndin)).
% 182.89/31.05 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', kpairsurjEq)).
% 182.89/31.05 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', ksndpairEq)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', cartprodfstpairEq)).
% 182.89/31.05 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', cartprodpairsurjEq)).
% 182.89/31.05 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', infuncsetfunc)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', app)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', funcGraphProp3)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', funcGraphProp1)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', brelnall2)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', brelnall1)).
% 182.89/31.05 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', funcGraphProp2)).
% 182.89/31.05 thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', ap2apEq1)).
% 182.89/31.05 thf(funcext2, axiom, ((funcext2)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', funcext2)).
% 182.89/31.05 thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', funcext)).
% 182.89/31.05 thf(eqbreln, axiom, ((eqbreln)<=>![X4:$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:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', eqbreln)).
% 182.89/31.05 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subbreln)).
% 182.89/31.05 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', funcGraphProp4)).
% 182.89/31.05 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:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', funcextLem)).
% 182.89/31.05 thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', ap2apEq2)).
% 182.89/31.05 thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', iftrueorfalse)).
% 182.89/31.05 thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', iffalse)).
% 182.89/31.05 thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', iftrue)).
% 182.89/31.05 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', theeq)).
% 182.89/31.05 thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', ifp)).
% 182.89/31.05 thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', binintersectT_lem)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', powersetTI1)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', subsetTI)).
% 182.89/31.05 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:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setextT)).
% 182.89/31.05 thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', complementT_lem)).
% 182.89/31.05 thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', setminusT_lem)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', powersetT_lem)).
% 182.89/31.05 thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binunionT_lem)).
% 182.89/31.05 thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', powersetTE1)).
% 182.89/31.05 thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', contrasubsetT2)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', contrasubsetT1)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', contrasubsetT)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', binintersectTERcontra)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', binintersectTELcontra)).
% 182.89/31.05 thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', complementTE1)).
% 182.89/31.05 thf(complementTI1, axiom, ((complementTI1)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', complementTI1)).
% 182.89/31.05 thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', contrasubsetT3)).
% 182.89/31.05 thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', complementImpComplementIntersect)).
% 182.89/31.05 thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', complementTnotintersectT)).
% 182.89/31.05 thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', doubleComplementEq)).
% 182.89/31.05 thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', doubleComplementSub2)).
% 182.89/31.05 thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', doubleComplementSub1)).
% 182.89/31.05 thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', doubleComplementE1)).
% 182.89/31.05 thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', doubleComplementI1)).
% 182.89/31.05 thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', complementSubsetComplementIntersect)).
% 182.89/31.05 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:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X48 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', inIntersectImpInUnion2)).
% 182.89/31.05 thf(inIntersectImpInUnion, axiom, ((inIntersectImpInUnion)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', inIntersectImpInUnion)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', binunionTIRcontra)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', binunionTILcontra)).
% 182.89/31.05 thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', complementTcontraSubset)).
% 182.89/31.05 thf(contraSubsetComplement, axiom, ((contraSubsetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ (setminus @ X4 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', contraSubsetComplement)).
% 182.89/31.05 thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', complementInPowersetComplementIntersect)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', intersectInPowersetIntersectUnions)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', inComplementUnionImpNotIn1)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', inComplementUnionImpInComplement1)).
% 182.89/31.05 thf(binunionTE, axiom, ((binunionTE)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X50:$o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ X21 @ X48))=>(((in @ X2 @ X21)=>(X50))=>(((in @ X2 @ X48)=>(X50))=>(X50))))))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', binunionTE)).
% 182.89/31.05 thf(inIntersectImpInIntersectUnions, axiom, ((inIntersectImpInIntersectUnions)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', inIntersectImpInIntersectUnions)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', in__Cong)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', inCongP)).
% 182.89/31.05 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', notdallE)).
% 182.89/31.05 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', notdexE)).
% 182.89/31.05 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', prop2setI)).
% 182.89/31.05 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', quantDeMorgan4)).
% 182.89/31.05 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', quantDeMorgan3)).
% 182.89/31.05 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', quantDeMorgan2)).
% 182.89/31.05 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', quantDeMorgan1)).
% 182.89/31.05 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', vacuousDall)).
% 182.89/31.05 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', upairsetIR)).
% 182.89/31.05 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', upairsetIL)).
% 182.89/31.05 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', upairsetE)).
% 182.89/31.05 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', singletonsswitch)).
% 182.89/31.05 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', eqinunit)).
% 182.89/31.05 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', notinsingleton)).
% 182.89/31.05 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', uniqinunit)).
% 182.89/31.05 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', subPowSU)).
% 182.89/31.05 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setunionE)).
% 182.89/31.05 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setunionI)).
% 182.89/31.05 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', powersetE)).
% 182.89/31.05 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', emptyInPowerset)).
% 182.89/31.05 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', emptyinPowerset)).
% 182.89/31.05 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', powersetI)).
% 182.89/31.05 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setadjoinOr)).
% 182.89/31.05 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setadjoinE)).
% 182.89/31.05 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setadjoinIR)).
% 182.89/31.05 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', emptyinunitempty)).
% 182.89/31.05 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setadjoinIL)).
% 182.89/31.05 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', noeltsimpempty)).
% 182.89/31.05 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', emptyI)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', setext)).
% 182.89/31.05 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', notinemptyset)).
% 182.89/31.05 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', emptysetimpfalse)).
% 182.89/31.05 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', emptysetE)).
% 182.89/31.05 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', prop2setE)).
% 182.89/31.05 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.vDaPNe3kS8/E---3.1_3445296.p', wellorderingAx)).
% 182.89/31.05 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.vDaPNe3kS8/E---3.1_3445296.p', foundationAx)).
% 182.89/31.05 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', omegaIndAx)).
% 182.89/31.05 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', omegaSAx)).
% 182.89/31.05 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', omega0Ax)).
% 182.89/31.05 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setunionAx)).
% 182.89/31.05 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', powersetAx)).
% 182.89/31.05 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setadjoinAx)).
% 182.89/31.05 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', emptysetAx)).
% 182.89/31.05 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.vDaPNe3kS8/E---3.1_3445296.p', setextAx)).
% 182.89/31.05 thf(c_0_321, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 182.89/31.05 thf(c_0_322, 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])).
% 182.89/31.05 thf(c_0_323, 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)=>![X4:$i]:(((nonempty @ X4)=>?[X21:$i]:(((in @ X21 @ X4)&((binintersect @ X21 @ X4)=(emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[foundation2])).
% 182.89/31.05 thf(c_0_324, plain, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 182.89/31.05 thf(c_0_325, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 182.89/31.05 thf(c_0_326, 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])).
% 182.89/31.05 thf(c_0_327, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 182.89/31.05 thf(c_0_328, plain, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[Z0:$i, Z1:$i]:((X53 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln1])).
% 182.89/31.05 thf(c_0_329, plain, ((image1Ex1)<=>![X4:$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])).
% 182.89/31.05 thf(c_0_330, 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])).
% 182.89/31.05 thf(c_0_331, 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])).
% 182.89/31.05 thf(c_0_332, 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])).
% 182.89/31.05 thf(c_0_333, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 182.89/31.05 thf(c_0_334, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 182.89/31.05 thf(c_0_335, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 182.89/31.05 thf(c_0_336, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 182.89/31.05 thf(c_0_337, plain, ((singletonprop)<=>![X4:$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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 182.89/31.05 thf(c_0_338, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 182.89/31.05 thf(c_0_339, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 182.89/31.05 thf(c_0_340, plain, ((ex1I2)<=>![X4:$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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 182.89/31.05 thf(c_0_341, plain, ((ex1I)<=>![X4:$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])).
% 182.89/31.05 thf(c_0_342, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 182.89/31.05 thf(c_0_343, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 182.89/31.05 thf(c_0_344, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 182.89/31.05 thf(c_0_345, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 182.89/31.05 thf(c_0_346, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 182.89/31.05 thf(c_0_347, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 182.89/31.05 thf(c_0_348, plain, ((apProp)<=>![X4:$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])).
% 182.89/31.05 thf(c_0_349, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
% 182.89/31.05 thf(c_0_350, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 182.89/31.05 thf(c_0_351, plain, ((lamProp)<=>![X4:$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])).
% 182.89/31.05 thf(c_0_352, 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])).
% 182.89/31.05 thf(c_0_353, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
% 182.89/31.05 thf(c_0_354, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
% 182.89/31.05 thf(c_0_355, plain, ((iffalseProp2)<=>![X4:$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])).
% 182.89/31.05 thf(c_0_356, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X39))&(((Z0)=(X2)))))|(((~((X39)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
% 182.89/31.05 thf(c_0_357, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
% 182.89/31.05 thf(c_0_358, plain, ((beta2)<=>![X4:$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])).
% 182.89/31.05 thf(c_0_359, 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])).
% 182.89/31.05 thf(c_0_360, 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])).
% 182.89/31.05 thf(c_0_361, 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])).
% 182.89/31.05 thf(c_0_362, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X41))&(((Z0)=(X2)))))|(((~((X41)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
% 182.89/31.05 thf(c_0_363, plain, ((ifSingleton)<=>![X4:$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])).
% 182.89/31.05 thf(c_0_364, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X42))&(((Z0)=(X2)))))|(((~((X42)))&(((Z0)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
% 182.89/31.05 thf(c_0_365, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 182.89/31.05 thf(c_0_366, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 182.89/31.05 thf(c_0_367, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 182.89/31.05 thf(c_0_368, 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])).
% 182.89/31.05 thf(c_0_369, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_321])).
% 182.89/31.05 thf(c_0_370, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 182.89/31.05 thf(c_0_371, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 182.89/31.05 thf(c_0_372, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_321])).
% 182.89/31.05 thf(c_0_373, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_322, c_0_321])).
% 182.89/31.05 thf(c_0_374, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_321])).
% 182.89/31.05 thf(c_0_375, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 182.89/31.05 thf(c_0_376, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 182.89/31.05 thf(c_0_377, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 182.89/31.05 thf(c_0_378, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 182.89/31.05 thf(c_0_379, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 182.89/31.05 thf(c_0_380, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 182.89/31.05 thf(c_0_381, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 182.89/31.05 thf(c_0_382, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 182.89/31.05 thf(c_0_383, plain, ((epred1_0)<=>![X1145:$i]:(?[X1146:$i]:((((![X1147:$i]:(((in @ X1147 @ X1146)=>![X1148:$i]:(((in @ X1148 @ X1147)=>(in @ X1148 @ X1145)))))&![X1149:$i, X1150:$i]:((((in @ X1149 @ X1145)&(in @ X1150 @ X1145))=>(![X1151:$i]:(((in @ X1151 @ X1146)=>((in @ X1149 @ X1151)<=>(in @ X1150 @ X1151))))=>((X1149)=(X1150))))))&![X1152:$i, X1153:$i]:((((in @ X1152 @ X1146)&(in @ X1153 @ X1146))=>(![X1154:$i]:(((in @ X1154 @ X1152)=>(in @ X1154 @ X1153)))|![X1155:$i]:(((in @ X1155 @ X1153)=>(in @ X1155 @ X1152)))))))&![X1156:$i]:(((![X1157:$i]:(((in @ X1157 @ X1156)=>(in @ X1157 @ X1145)))&?[X1158:$i]:((in @ X1158 @ X1156)))=>?[X1159:$i, X1160:$i]:(((((in @ X1159 @ X1146)&(in @ X1160 @ X1156))&~(?[X1161:$i]:(((in @ X1161 @ X1159)&(in @ X1161 @ X1156)))))&![X1162:$i]:(((in @ X1162 @ X1146)=>(![X1163:$i]:(((in @ X1163 @ X1162)=>(in @ X1163 @ X1159)))|(in @ X1160 @ X1162)))))))))))), introduced(definition)).
% 182.89/31.05 thf(c_0_384, negated_conjecture, ~((![X1118:$i, X1119:$i]:((![X1120:$i]:(((in @ X1120 @ X1118)<=>(in @ X1120 @ X1119)))=>((X1118)=(X1119))))=>(![X1121:$i]:(~(in @ X1121 @ emptyset))=>(![X1122:$i, X1123:$i, X1124:$i]:(((in @ X1124 @ (setadjoin @ X1122 @ X1123))<=>(((X1124)=(X1122))|(in @ X1124 @ X1123))))=>(![X1125:$i, X1126:$i]:(((in @ X1126 @ (powerset @ X1125))<=>![X1127:$i]:(((in @ X1127 @ X1126)=>(in @ X1127 @ X1125)))))=>(![X1128:$i, X1129:$i]:(((in @ X1129 @ (setunion @ X1128))<=>?[X1130:$i]:(((in @ X1129 @ X1130)&(in @ X1130 @ X1128)))))=>((in @ emptyset @ omega)=>(![X1131:$i]:(((in @ X1131 @ omega)=>(in @ (setadjoin @ X1131 @ X1131) @ omega)))=>(![X1132:$i]:((((in @ emptyset @ X1132)&![X1133:$i]:((((in @ X1133 @ omega)&(in @ X1133 @ X1132))=>(in @ (setadjoin @ X1133 @ X1133) @ X1132))))=>![X1134:$i]:(((in @ X1134 @ omega)=>(in @ X1134 @ X1132)))))=>(![X1135:$i > $i > $o, X1136:$i]:((![X1137:$i]:(((in @ X1137 @ X1136)=>(exu @ (X1135 @ X1137))))=>?[X1138:$i]:(![X1139:$i]:(((in @ X1139 @ X1138)<=>?[X1140:$i]:(((in @ X1140 @ X1136)&(X1135 @ X1140 @ X1139))))))))=>(![X1141:$i]:((?[X1142:$i]:((in @ X1142 @ X1141))=>?[X1143:$i]:(((in @ X1143 @ X1141)&~(?[X1144:$i]:(((in @ X1144 @ X1143)&(in @ X1144 @ X1141))))))))=>((epred1_0)=>(![X1164:$i > $o]:(((exu @ X1164)=>(X1164 @ (descr @ (^[Z0:$i]:(X1164 @ Z0))))))=>(![X1165:$i, X1166:$i > $o, X1167:$i]:(((in @ X1167 @ X1165)=>((X1166 @ X1167)=>(in @ X1167 @ (dsetconstr @ X1165 @ X1166)))))=>(![X1168:$i, X1169:$i > $o, X1170:$i]:(((in @ X1170 @ (dsetconstr @ X1168 @ X1169))=>(in @ X1170 @ X1168)))=>(![X1171:$i, X1172:$i > $o, X1173:$i]:(((in @ X1173 @ (dsetconstr @ X1171 @ X1172))=>(X1172 @ X1173)))=>(![X1174:$i > $o]:(((exu @ X1174)=>?[X1175:$i]:(((X1174 @ X1175)&![X1176:$i]:(((X1174 @ X1176)=>((X1175)=(X1176))))))))=>(![X1177:$o, X1178:$i]:(((in @ X1178 @ (prop2set @ ((X1177))))=>(X1177)))=>(![X1179:$i]:(((in @ X1179 @ emptyset)=>![X1180:$o]:((X1180))))=>(![X1181:$i]:(((in @ X1181 @ emptyset)=>~($true)))=>(![X1182:$i]:(~(in @ X1182 @ emptyset))=>(![X1183:$i > $o]:(((exu @ X1183)=>?[X1184:$i]:((X1183 @ X1184))))=>(![X1185:$i, X1186:$i]:((![X1187:$i]:(((in @ X1187 @ X1185)=>(in @ X1187 @ X1186)))=>(![X1188:$i]:(((in @ X1188 @ X1186)=>(in @ X1188 @ X1185)))=>((X1185)=(X1186)))))=>(![X1189:$i]:((![X1190:$i]:(~(in @ X1190 @ X1189))=>((X1189)=(emptyset))))=>(![X1191:$i]:((![X1192:$i]:(~(in @ X1192 @ X1191))=>((X1191)=(emptyset))))=>(![X1193:$i, X1194:$i > $o, X1195:$i]:(((in @ X1195 @ X1193)=>((in @ X1195 @ (dsetconstr @ X1193 @ X1194))<=>(X1194 @ X1195))))=>(![X1196:$i]:((((X1196)!=(emptyset))=>?[X1197:$i]:((in @ X1197 @ X1196))))=>(![X1198:$i, X1199:$i > $o, X1200:$i]:(((in @ X1200 @ X1198)=>((X1199 @ X1200)=>((dsetconstr @ X1198 @ X1199)!=(emptyset)))))=>(![X1201:$i]:((?[X1202:$i]:((in @ X1202 @ X1201))=>((X1201)!=(emptyset))))=>(![X1203:$i, X1204:$i]:((in @ X1203 @ (setadjoin @ X1203 @ X1204)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1205:$i, X1206:$i, X1207:$i]:(((in @ X1207 @ X1206)=>(in @ X1207 @ (setadjoin @ X1205 @ X1206))))=>(![X1208:$i, X1209:$i, X1210:$i]:(((in @ X1210 @ (setadjoin @ X1208 @ X1209))=>![X1211:$o]:(((((X1210)=(X1208))=>(X1211))=>(((in @ X1210 @ X1209)=>(X1211))=>(X1211))))))=>(![X1212:$i, X1213:$i, X1214:$i]:(((in @ X1214 @ (setadjoin @ X1212 @ X1213))=>(((X1214)=(X1212))|(in @ X1214 @ X1213))))=>(![X1215:$i]:(((dsetconstr @ X1215 @ (^[Z0:$i]:($true)))=(X1215)))=>(![X1216:$i, X1217:$i]:((![X1218:$i]:(((in @ X1218 @ X1217)=>(in @ X1218 @ X1216)))=>(in @ X1217 @ (powerset @ X1216))))=>(![X1219:$i]:((in @ emptyset @ (powerset @ X1219)))=>(![X1220:$i]:((in @ emptyset @ (powerset @ X1220)))=>(![X1221:$i, X1222:$i, X1223:$i]:(((in @ X1222 @ (powerset @ X1221))=>((in @ X1223 @ X1222)=>(in @ X1223 @ X1221))))=>(![X1224:$i, X1225:$i, X1226:$i]:(((in @ X1225 @ X1226)=>((in @ X1226 @ X1224)=>(in @ X1225 @ (setunion @ X1224)))))=>(![X1227:$i, X1228:$i]:(((in @ X1228 @ (setunion @ X1227))=>![X1229:$o]:((![X1230:$i]:(((in @ X1228 @ X1230)=>((in @ X1230 @ X1227)=>(X1229))))=>(X1229)))))=>(![X1231:$i, X1232:$i]:(((in @ X1232 @ X1231)=>(in @ X1232 @ (powerset @ (setunion @ X1231)))))=>(![X1233:$i > $o]:(((exu @ X1233)=>?[X1234:$i]:(![X1235:$i]:(((X1233 @ X1235)<=>((X1235)=(X1234)))))))=>(![X1236:$i]:((((X1236)!=(emptyset))=>?[X1237:$i]:(((in @ X1237 @ X1236)&$true))))=>(![X1238:$i, X1239:$i]:(((in @ X1238 @ (setadjoin @ X1239 @ emptyset))=>((X1238)=(X1239))))=>(![X1240:$i, X1241:$i]:((((X1240)!=(X1241))=>~(in @ X1241 @ (setadjoin @ X1240 @ emptyset))))=>(![X1242:$i, X1243:$i]:((((X1242)=(X1243))=>(in @ X1242 @ (setadjoin @ X1243 @ emptyset))))=>(![X1244:$i, X1245:$i]:(((in @ X1244 @ (setadjoin @ X1245 @ emptyset))=>(in @ X1245 @ (setadjoin @ X1244 @ emptyset))))=>(![X1246:$i, X1247:$i, X1248:$i]:(((in @ X1248 @ (setadjoin @ X1246 @ (setadjoin @ X1247 @ emptyset)))=>(((X1248)=(X1246))|((X1248)=(X1247)))))=>(![X1249:$i, X1250:$i]:((in @ X1249 @ (setadjoin @ X1249 @ (setadjoin @ X1250 @ emptyset))))=>(![X1251:$i, X1252:$i]:((in @ X1252 @ (setadjoin @ X1251 @ (setadjoin @ X1252 @ emptyset))))=>(![X1253:$i, X1254:$i > $o]:((?[X1255:$i]:(((in @ X1255 @ X1253)&(X1254 @ X1255)))=>(((dsetconstr @ X1253 @ X1254)=(emptyset))=>~($true))))=>(![X1256:$i > $o, X1257:$i]:(((in @ X1257 @ emptyset)=>(X1256 @ X1257)))=>(![X1258:$i, X1259:$i > $o]:((~(![X1260:$i]:(((in @ X1260 @ X1258)=>(X1259 @ X1260))))=>?[X1261:$i]:(((in @ X1261 @ X1258)&~((X1259 @ X1261))))))=>(![X1262:$i, X1263:$i > $o]:((![X1264:$i]:(((in @ X1264 @ X1262)=>~((X1263 @ X1264))))=>~(?[X1265:$i]:(((in @ X1265 @ X1262)&(X1263 @ X1265))))))=>(![X1266:$i, X1267:$i > $o]:((~(?[X1268:$i]:(((in @ X1268 @ X1266)&(X1267 @ X1268))))=>![X1269:$i]:(((in @ X1269 @ X1266)=>~((X1267 @ X1269))))))=>(![X1270:$i, X1271:$i > $o]:((?[X1272:$i]:(((in @ X1272 @ X1270)&~((X1271 @ X1272))))=>~(![X1273:$i]:(((in @ X1273 @ X1270)=>(X1271 @ X1273))))))=>(![X1274:$o]:(((X1274)=>(in @ emptyset @ (prop2set @ ((X1274))))))=>((prop2set2propI)=>(![X1275:$i, X1276:$i > $o]:((~(?[X1277:$i]:(((in @ X1277 @ X1275)&(X1276 @ X1277))))=>![X1278:$i]:(((in @ X1278 @ X1275)=>~((X1276 @ X1278))))))=>(![X1279:$i, X1280:$i > $o]:((~(![X1281:$i]:(((in @ X1281 @ X1279)=>(X1280 @ X1281))))=>?[X1282:$i]:(((in @ X1282 @ X1279)&~((X1280 @ X1282))))))=>(![X1283:$i > $o]:((?[X1284:$i]:(((X1283 @ X1284)&![X1285:$i]:(((X1283 @ X1285)=>((X1284)=(X1285))))))=>(exu @ X1283)))=>(![X1286:$i > $o]:((?[X1287:$i]:((X1286 @ X1287))=>(![X1288:$i, X1289:$i]:(((X1286 @ X1288)=>((X1286 @ X1289)=>((X1288)=(X1289)))))=>(exu @ X1286))))=>(![X1290:$i > $o]:((?[X1291:$i]:(![X1292:$i]:(((X1290 @ X1292)<=>((X1292)=(X1291)))))=>(exu @ X1290)))=>(![X1293:$i, X1294:$i]:((((X1293)=(X1294))=>![X1295:$i, X1296:$i]:((((X1295)=(X1296))=>((in @ X1295 @ X1293)=>(in @ X1296 @ X1294))))))=>(![X1297:$i, X1298:$i]:((((X1297)=(X1298))=>![X1299:$i, X1300:$i]:((((X1299)=(X1300))=>((in @ X1299 @ X1297)<=>(in @ X1300 @ X1298))))))=>(![X1301:$i > $o]:(((exu @ X1301)=>![X1302:$i, X1303:$i]:(((X1301 @ X1302)=>((X1301 @ X1303)=>((X1302)=(X1303)))))))=>(![X1304:$i > $o, X1305:$i > $o]:((![X1306:$i, X1307:$i]:((((X1306)=(X1307))=>((X1304 @ X1306)<=>(X1305 @ X1307))))=>((exu @ X1304)<=>(exu @ X1305))))=>(((emptyset)=(emptyset))=>(![X1308:$i, X1309:$i]:((((X1308)=(X1309))=>![X1310:$i, X1311:$i]:((((X1310)=(X1311))=>((setadjoin @ X1308 @ X1310)=(setadjoin @ X1309 @ X1311))))))=>(![X1312:$i, X1313:$i]:((((X1312)=(X1313))=>((powerset @ X1312)=(powerset @ X1313))))=>(![X1314:$i, X1315:$i]:((((X1314)=(X1315))=>((setunion @ X1314)=(setunion @ X1315))))=>(((omega)=(omega))=>(![X1316:$i > $o]:(((exu @ X1316)=>![X1317:$i, X1318:$i]:(((X1316 @ X1317)=>((X1316 @ X1318)=>((X1317)=(X1318)))))))=>(![X1319:$i > $o, X1320:$i > $o]:((![X1321:$i, X1322:$i]:((((X1321)=(X1322))=>((X1319 @ X1321)<=>(X1320 @ X1322))))=>((exu @ X1319)=>((exu @ X1320)=>((descr @ X1319)=(descr @ X1320))))))=>(![X1323:$i, X1324:$i]:((((X1323)=(X1324))=>![X1325:$i > $o, X1326:$i > $o]:((![X1327:$i]:(((in @ X1327 @ X1323)=>![X1328:$i]:(((in @ X1328 @ X1324)=>(((X1327)=(X1328))=>((X1325 @ X1327)<=>(X1326 @ X1328)))))))=>((dsetconstr @ X1323 @ X1325)=(dsetconstr @ X1324 @ X1326))))))=>(![X1329:$i, X1330:$i]:((![X1331:$i]:(((in @ X1331 @ X1329)=>(in @ X1331 @ X1330)))=>(subset @ X1329 @ X1330)))=>(![X1332:$i, X1333:$i]:((((X1332)=(X1333))=>(subset @ X1333 @ X1332)))=>(![X1334:$i, X1335:$i]:((((X1334)=(X1335))=>(subset @ X1334 @ X1335)))=>(![X1336:$i, X1337:$i]:((![X1338:$i]:(((in @ X1338 @ X1336)=>(in @ X1338 @ X1337)))=>(subset @ X1336 @ X1337)))=>(![X1339:$i]:((subset @ emptyset @ X1339))=>(![X1340:$i, X1341:$i, X1342:$i]:(((subset @ X1340 @ X1341)=>((in @ X1342 @ X1340)=>(in @ X1342 @ X1341))))=>(![X1343:$i, X1344:$i, X1345:$i]:(((subset @ X1343 @ X1344)=>(~(in @ X1345 @ X1344)=>~(in @ X1345 @ X1343))))=>(![X1346:$i, X1347:$i, X1348:$i]:(((in @ X1348 @ X1346)=>(~(in @ X1348 @ X1347)=>~(subset @ X1346 @ X1347))))=>(![X1349:$i, X1350:$i]:((~(subset @ X1349 @ X1350)=>((X1349)!=(X1350))))=>(![X1351:$i, X1352:$i, X1353:$i]:(((in @ X1353 @ X1351)=>(~(in @ X1353 @ X1352)=>((X1351)!=(X1352)))))=>(![X1354:$i]:((subset @ X1354 @ X1354))=>(![X1355:$i, X1356:$i, X1357:$i]:(((subset @ X1355 @ X1356)=>((subset @ X1356 @ X1357)=>(subset @ X1355 @ X1357))))=>(![X1358:$i, X1359:$i]:((subset @ X1359 @ (setadjoin @ X1358 @ X1359)))=>(![X1360:$i, X1361:$i, X1362:$i]:(((subset @ X1360 @ X1362)=>(subset @ X1360 @ (setadjoin @ X1361 @ X1362))))=>(![X1363:$i, X1364:$i]:(((subset @ X1363 @ X1364)=>(in @ X1363 @ (powerset @ X1364))))=>(![X1365:$i, X1366:$i]:(((subset @ X1365 @ X1366)=>((subset @ X1366 @ X1365)=>((X1365)=(X1366)))))=>(![X1367:$i]:(((subset @ X1367 @ emptyset)=>((X1367)=(emptyset))))=>(![X1368:$i, X1369:$i]:(((subset @ X1369 @ X1368)=>(in @ X1369 @ (powerset @ X1368))))=>(![X1370:$i, X1371:$i]:(((in @ X1371 @ (powerset @ X1370))=>(subset @ X1371 @ X1370)))=>(![X1372:$i]:((in @ X1372 @ (powerset @ X1372)))=>(![X1373:$i, X1374:$i]:(((subset @ X1373 @ X1374)=>(subset @ (powerset @ X1373) @ (powerset @ X1374))))=>(![X1375:$i, X1376:$i > $o]:((in @ (dsetconstr @ X1375 @ X1376) @ (powerset @ X1375)))=>(![X1377:$i, X1378:$i > $o]:((subset @ (dsetconstr @ X1377 @ X1378) @ X1377))=>(![X1379:$i, X1380:$i, X1381:$i]:(((in @ X1381 @ X1379)=>(in @ X1381 @ (binunion @ X1379 @ X1380))))=>(![X1382:$i, X1383:$i]:((in @ X1383 @ (setadjoin @ X1382 @ (setadjoin @ X1383 @ emptyset))))=>(![X1384:$i, X1385:$i, X1386:$i]:(((in @ X1386 @ X1385)=>(in @ X1386 @ (binunion @ X1384 @ X1385))))=>(![X1387:$i, X1388:$i, X1389:$i, X1390:$o]:(((in @ X1389 @ (binunion @ X1387 @ X1388))=>(((in @ X1389 @ X1387)=>(X1390))=>(((in @ X1389 @ X1388)=>(X1390))=>(X1390)))))=>(![X1391:$i, X1392:$i, X1393:$i]:(((in @ X1393 @ (binunion @ X1391 @ X1392))=>((in @ X1393 @ X1391)|(in @ X1393 @ X1392))))=>(![X1394:$i, X1395:$i]:((subset @ X1394 @ (binunion @ X1394 @ X1395)))=>(![X1396:$i, X1397:$i]:((subset @ X1397 @ (binunion @ X1396 @ X1397)))=>(![X1398:$i, X1399:$i, X1400:$i]:(((in @ X1400 @ X1398)=>((in @ X1400 @ X1399)=>(in @ X1400 @ (binintersect @ X1398 @ X1399)))))=>(![X1401:$i, X1402:$i, X1403:$i]:(((subset @ X1403 @ X1401)=>((subset @ X1403 @ X1402)=>(subset @ X1403 @ (binintersect @ X1401 @ X1402)))))=>(![X1404:$i, X1405:$i, X1406:$i]:(((in @ X1406 @ (binintersect @ X1404 @ X1405))=>(in @ X1406 @ X1404)))=>(![X1407:$i, X1408:$i]:((subset @ (binintersect @ X1407 @ X1408) @ X1407))=>(![X1409:$i, X1410:$i]:(((subset @ X1409 @ X1410)=>((binintersect @ X1409 @ X1410)=(X1409))))=>(![X1411:$i, X1412:$i]:((((binintersect @ X1411 @ X1412)=(X1412))=>(subset @ X1412 @ X1411)))=>(![X1413:$i, X1414:$i, X1415:$i]:(((in @ X1415 @ (binintersect @ X1413 @ X1414))=>(in @ X1415 @ X1414)))=>(![X1416:$i, X1417:$i]:((~(?[X1418:$i]:(((in @ X1418 @ X1416)&(in @ X1418 @ X1417))))=>((binintersect @ X1416 @ X1417)=(emptyset))))=>(![X1419:$i, X1420:$i]:((subset @ (binintersect @ X1419 @ X1420) @ X1420))=>(![X1421:$i, X1422:$i]:(((subset @ X1422 @ X1421)=>((binintersect @ X1421 @ X1422)=(X1422))))=>(![X1423:$i, X1424:$i]:((((binintersect @ X1423 @ X1424)=(X1423))=>(subset @ X1423 @ X1424)))=>(![X1425:$i, X1426:$i, X1427:$i]:(((binintersect @ X1425 @ (binunion @ X1426 @ X1427))=(binunion @ (binintersect @ X1425 @ X1426) @ (binintersect @ X1425 @ X1427))))=>(![X1428:$i, X1429:$i, X1430:$i]:(((in @ X1430 @ X1428)=>(~(in @ X1430 @ X1429)=>(in @ X1430 @ (setminus @ X1428 @ X1429)))))=>(![X1431:$i, X1432:$i, X1433:$i]:(((in @ X1433 @ (setminus @ X1431 @ X1432))=>(in @ X1433 @ X1431)))=>(![X1434:$i, X1435:$i, X1436:$i]:(((in @ X1436 @ (setminus @ X1434 @ X1435))=>~(in @ X1436 @ X1435)))=>(![X1437:$i, X1438:$i]:(((subset @ X1437 @ X1438)=>((setminus @ X1437 @ X1438)=(emptyset))))=>(![X1439:$i, X1440:$i, X1441:$i]:((~(in @ X1441 @ (setminus @ X1439 @ X1440))=>((in @ X1441 @ X1439)=>(in @ X1441 @ X1440))))=>(![X1442:$i, X1443:$i, X1444:$i]:((~(in @ X1444 @ (setminus @ X1442 @ X1443))=>(~(in @ X1444 @ X1443)=>~(in @ X1444 @ X1442))))=>(![X1445:$i, X1446:$i, X1447:$i]:((~(in @ X1447 @ X1445)=>~(in @ X1447 @ (setminus @ X1445 @ X1446))))=>(![X1448:$i, X1449:$i, X1450:$i]:(((in @ X1450 @ X1449)=>~(in @ X1450 @ (setminus @ X1448 @ X1449))))=>(![X1451:$i, X1452:$i]:((subset @ (setminus @ X1451 @ X1452) @ X1451))=>(![X1453:$i, X1454:$i]:((((setminus @ X1453 @ X1454)=(emptyset))=>(subset @ X1453 @ X1454)))=>(![X1455:$i, X1456:$i, X1457:$i]:(((in @ X1457 @ (symdiff @ X1455 @ X1456))=>![X1458:$o]:((((in @ X1457 @ X1455)=>(~(in @ X1457 @ X1456)=>(X1458)))=>((~(in @ X1457 @ X1455)=>((in @ X1457 @ X1456)=>(X1458)))=>(X1458))))))=>(![X1459:$i, X1460:$i, X1461:$i]:(((in @ X1461 @ X1459)=>(~(in @ X1461 @ X1460)=>(in @ X1461 @ (symdiff @ X1459 @ X1460)))))=>(![X1462:$i, X1463:$i, X1464:$i]:((~(in @ X1464 @ X1462)=>((in @ X1464 @ X1463)=>(in @ X1464 @ (symdiff @ X1462 @ X1463)))))=>(![X1465:$i, X1466:$i, X1467:$i]:(((in @ X1467 @ X1465)=>((in @ X1467 @ X1466)=>~(in @ X1467 @ (symdiff @ X1465 @ X1466)))))=>(![X1468:$i, X1469:$i, X1470:$i]:((~(in @ X1470 @ X1468)=>(~(in @ X1470 @ X1469)=>~(in @ X1470 @ (symdiff @ X1468 @ X1469)))))=>(![X1471:$i, X1472:$i]:((in @ X1472 @ (setadjoin @ X1471 @ (setadjoin @ X1472 @ emptyset))))=>(![X1473:$i, X1474:$i]:((in @ X1473 @ (setunion @ (setadjoin @ (setadjoin @ X1473 @ emptyset) @ (setadjoin @ (setadjoin @ X1473 @ (setadjoin @ X1474 @ emptyset)) @ emptyset)))))=>(![X1475:$i, X1476:$i]:((in @ X1476 @ (setunion @ (setadjoin @ (setadjoin @ X1475 @ emptyset) @ (setadjoin @ (setadjoin @ X1475 @ (setadjoin @ X1476 @ emptyset)) @ emptyset)))))=>(![X1477:$i, X1478:$i]:((iskpair @ (setadjoin @ (setadjoin @ X1477 @ emptyset) @ (setadjoin @ (setadjoin @ X1477 @ (setadjoin @ X1478 @ emptyset)) @ emptyset))))=>(![X1479:$i, X1480:$i]:((iskpair @ (kpair @ X1479 @ X1480)))=>(![X1481:$i, X1482:$i]:(((in @ X1482 @ X1481)=>(subset @ (setadjoin @ X1482 @ emptyset) @ X1481)))=>(![X1483:$i, X1484:$i]:(((in @ X1484 @ X1483)=>(in @ (setadjoin @ X1484 @ emptyset) @ (powerset @ X1483))))=>(![X1485:$i, X1486:$i, X1487:$i]:(((in @ X1487 @ X1485)=>(in @ (setadjoin @ X1487 @ emptyset) @ (powerset @ (binunion @ X1485 @ X1486)))))=>(![X1488:$i, X1489:$i, X1490:$i]:(((in @ X1490 @ (setadjoin @ X1488 @ (setadjoin @ X1489 @ emptyset)))=>(((X1490)=(X1488))|((X1490)=(X1489)))))=>(![X1491:$i, X1492:$i, X1493:$i]:(((in @ X1493 @ X1491)=>![X1494:$i]:(((in @ X1494 @ X1492)=>(subset @ (setadjoin @ X1493 @ (setadjoin @ X1494 @ emptyset)) @ (binunion @ X1491 @ X1492))))))=>(![X1495:$i, X1496:$i, X1497:$i]:(((in @ X1497 @ X1495)=>![X1498:$i]:(((in @ X1498 @ X1496)=>(in @ (setadjoin @ X1497 @ (setadjoin @ X1498 @ emptyset)) @ (powerset @ (binunion @ X1495 @ X1496)))))))=>(![X1499:$i, X1500:$i, X1501:$i]:(((in @ X1501 @ X1499)=>![X1502:$i]:(((in @ X1502 @ X1500)=>(subset @ (setadjoin @ (setadjoin @ X1501 @ emptyset) @ (setadjoin @ (setadjoin @ X1501 @ (setadjoin @ X1502 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1499 @ X1500)))))))=>(![X1503:$i, X1504:$i, X1505:$i]:(((in @ X1505 @ X1503)=>![X1506:$i]:(((in @ X1506 @ X1504)=>(in @ (setadjoin @ (setadjoin @ X1505 @ emptyset) @ (setadjoin @ (setadjoin @ X1505 @ (setadjoin @ X1506 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1503 @ X1504))))))))=>(![X1507:$i, X1508:$i, X1509:$i]:(((in @ X1509 @ X1507)=>![X1510:$i]:(((in @ X1510 @ X1508)=>(in @ (kpair @ X1509 @ X1510) @ (powerset @ (powerset @ (binunion @ X1507 @ X1508))))))))=>(![X1511:$i, X1512:$i, X1513:$i]:(((in @ X1513 @ X1511)=>![X1514:$i]:(((in @ X1514 @ X1512)=>(in @ (kpair @ X1513 @ X1514) @ (cartprod @ X1511 @ X1512))))))=>(![X1515:$i, X1516:$i, X1517:$i]:(((in @ X1517 @ (cartprod @ X1515 @ X1516))=>?[X1518:$i]:(((in @ X1518 @ X1515)&?[X1519:$i]:(((in @ X1519 @ X1516)&((X1517)=(kpair @ X1518 @ X1519))))))))=>(![X1520:$i, X1521:$i, X1522:$i]:(((in @ X1522 @ (cartprod @ X1520 @ X1521))=>(iskpair @ X1522)))=>(![X1523:$i, X1524:$i]:(((in @ X1524 @ (setunion @ X1523))=>?[X1525:$i]:(((in @ X1525 @ X1523)&(in @ X1524 @ X1525)))))=>(![X1526:$i]:((subset @ (setunion @ (setadjoin @ X1526 @ emptyset)) @ X1526))=>(![X1527:$i]:((subset @ X1527 @ (setunion @ (setadjoin @ X1527 @ emptyset))))=>(![X1528:$i]:(((setunion @ (setadjoin @ X1528 @ emptyset))=(X1528)))=>(![X1529:$i, X1530:$i > $o]:((![X1531:$i]:(((in @ X1531 @ X1529)=>![X1532:$i]:(((in @ X1532 @ X1529)=>((X1530 @ X1531)=>((X1530 @ X1532)=>((X1531)=(X1532))))))))=>(?[X1533:$i]:(((in @ X1533 @ X1529)&(X1530 @ X1533)))=>(singleton @ (dsetconstr @ X1529 @ X1530)))))=>(![X1534:$i, X1535:$i > $o]:(((ex1 @ X1534 @ X1535)=>?[X1536:$i]:(((in @ X1536 @ X1534)&(X1535 @ X1536)))))=>(![X1537:$i, X1538:$i > $o, X1539:$i]:(((in @ X1539 @ X1537)=>((X1538 @ X1539)=>(![X1540:$i]:(((in @ X1540 @ X1537)=>((X1538 @ X1540)=>((X1540)=(X1539)))))=>(ex1 @ X1537 @ X1538)))))=>(![X1541:$i, X1542:$i > $o]:((![X1543:$i]:(((in @ X1543 @ X1541)=>![X1544:$i]:(((in @ X1544 @ X1541)=>((X1542 @ X1543)=>((X1542 @ X1544)=>((X1543)=(X1544))))))))=>(?[X1545:$i]:(((in @ X1545 @ X1541)&(X1542 @ X1545)))=>(ex1 @ X1541 @ X1542))))=>(![X1546:$i, X1547:$i]:((((setadjoin @ X1546 @ emptyset)=(setadjoin @ X1547 @ emptyset))=>((X1546)=(X1547))))=>(![X1548:$i, X1549:$i, X1550:$i]:(((in @ (setadjoin @ X1550 @ emptyset) @ (setadjoin @ (setadjoin @ X1548 @ emptyset) @ (setadjoin @ (setadjoin @ X1548 @ (setadjoin @ X1549 @ emptyset)) @ emptyset)))=>((X1548)=(X1550))))=>(![X1551:$i]:(((iskpair @ X1551)=>(singleton @ (dsetconstr @ (setunion @ X1551) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1551)))))))=>(![X1552:$i]:(((singleton @ X1552)=>(in @ (setunion @ X1552) @ X1552)))=>(![X1553:$i, X1554:$i]:(((kfst @ (kpair @ X1553 @ X1554))=(X1553)))=>(![X1555:$i, X1556:$i, X1557:$i]:(((in @ X1557 @ (cartprod @ X1555 @ X1556))=>(in @ (kfst @ X1557) @ X1555)))=>(![X1558:$i, X1559:$i, X1560:$i, X1561:$i]:((((setadjoin @ (setadjoin @ X1558 @ emptyset) @ (setadjoin @ (setadjoin @ X1558 @ (setadjoin @ X1559 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1560 @ emptyset) @ (setadjoin @ (setadjoin @ X1560 @ (setadjoin @ X1561 @ emptyset)) @ emptyset)))=>((X1558)=(X1560))))=>(![X1562:$i, X1563:$i, X1564:$i, X1565:$i]:((((kpair @ X1562 @ X1563)=(kpair @ X1564 @ X1565))=>((X1562)=(X1564))))=>(![X1566:$i, X1567:$i]:((((X1566)=(X1567))=>((setadjoin @ X1566 @ (setadjoin @ X1567 @ emptyset))=(setadjoin @ X1566 @ emptyset))))=>(![X1568:$i, X1569:$i]:((((X1568)=(X1569))=>((setadjoin @ (setadjoin @ X1568 @ emptyset) @ (setadjoin @ (setadjoin @ X1568 @ (setadjoin @ X1569 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1568 @ emptyset) @ emptyset))))=>(![X1570:$i, X1571:$i, X1572:$i, X1573:$i]:((((setadjoin @ (setadjoin @ X1570 @ emptyset) @ (setadjoin @ (setadjoin @ X1570 @ (setadjoin @ X1571 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1572 @ emptyset) @ (setadjoin @ (setadjoin @ X1572 @ (setadjoin @ X1573 @ emptyset)) @ emptyset)))=>(((X1572)=(X1573))=>((X1571)=(X1573)))))=>(![X1574:$i, X1575:$i, X1576:$i]:((((setadjoin @ X1574 @ (setadjoin @ X1575 @ emptyset))=(setadjoin @ X1576 @ emptyset))=>((X1574)=(X1575))))=>(![X1577:$i, X1578:$i, X1579:$i, X1580:$i]:((((setadjoin @ (setadjoin @ X1577 @ emptyset) @ (setadjoin @ (setadjoin @ X1577 @ (setadjoin @ X1578 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1579 @ emptyset) @ (setadjoin @ (setadjoin @ X1579 @ (setadjoin @ X1580 @ emptyset)) @ emptyset)))=>((X1578)=(X1580))))=>(![X1581:$i, X1582:$i, X1583:$i, X1584:$i]:((((kpair @ X1581 @ X1582)=(kpair @ X1583 @ X1584))=>((X1582)=(X1584))))=>(![X1585:$i]:(((iskpair @ X1585)=>(singleton @ (dsetconstr @ (setunion @ X1585) @ (^[Z0:$i]:(((X1585)=(kpair @ (kfst @ X1585) @ Z0))))))))=>(![X1586:$i, X1587:$i]:(((ksnd @ (kpair @ X1586 @ X1587))=(X1587)))=>(![X1588:$i]:(((iskpair @ X1588)=>((kpair @ (kfst @ X1588) @ (ksnd @ X1588))=(X1588))))=>(![X1589:$i, X1590:$i, X1591:$i]:(((in @ X1591 @ (cartprod @ X1589 @ X1590))=>(in @ (ksnd @ X1591) @ X1590)))=>(![X1592:$i, X1593:$i, X1594:$i, X1595:$i]:(((in @ (kpair @ X1594 @ X1595) @ (cartprod @ X1592 @ X1593))=>(in @ X1594 @ X1592)))=>(![X1596:$i, X1597:$i, X1598:$i, X1599:$i]:(((in @ (kpair @ X1598 @ X1599) @ (cartprod @ X1596 @ X1597))=>(in @ X1599 @ X1597)))=>(![X1600:$i, X1601:$i, X1602:$i]:(((in @ X1602 @ X1600)=>![X1603:$i]:(((in @ X1603 @ X1601)=>((kpair @ X1602 @ X1603)=(kpair @ X1602 @ X1603))))))=>(![X1604:$i, X1605:$i, X1606:$i]:(((in @ X1606 @ X1604)=>![X1607:$i]:(((in @ X1607 @ X1605)=>((kfst @ (kpair @ X1606 @ X1607))=(X1606))))))=>(![X1608:$i, X1609:$i, X1610:$i]:(((in @ X1610 @ X1608)=>![X1611:$i]:(((in @ X1611 @ X1609)=>((ksnd @ (kpair @ X1610 @ X1611))=(X1611))))))=>(![X1612:$i, X1613:$i, X1614:$i]:(((in @ X1614 @ (cartprod @ X1612 @ X1613))=>((kpair @ (kfst @ X1614) @ (ksnd @ X1614))=(X1614))))=>(![X1615:$i, X1616:$i, X1617:$i > $i > $o, X1618:$i]:(((in @ X1618 @ X1615)=>![X1619:$i]:(((in @ X1619 @ X1616)=>((X1617 @ X1618 @ X1619)=>(in @ (kpair @ X1618 @ X1619) @ (dpsetconstr @ X1615 @ X1616 @ X1617)))))))=>(![X1620:$i, X1621:$i, X1622:$i > $i > $o]:((subset @ (dpsetconstr @ X1620 @ X1621 @ X1622) @ (cartprod @ X1620 @ X1621)))=>(![X1623:$i, X1624:$i, X1625:$i > $i > $o]:((breln @ X1623 @ X1624 @ (dpsetconstr @ X1623 @ X1624 @ X1625)))=>(![X1626:$i, X1627:$i, X1628:$i > $i > $o, X1629:$i]:(((in @ X1629 @ X1626)=>![X1630:$i]:(((in @ X1630 @ X1627)=>((in @ (kpair @ X1629 @ X1630) @ (dpsetconstr @ X1626 @ X1627 @ X1628))=>(X1628 @ X1629 @ X1630))))))=>(![X1631:$i, X1632:$i, X1633:$i > $i > $o, X1634:$i, X1635:$i]:(((in @ (kpair @ X1634 @ X1635) @ (dpsetconstr @ X1631 @ X1632 @ X1633))=>(in @ X1634 @ X1631)))=>(![X1636:$i, X1637:$i, X1638:$i > $i > $o, X1639:$i, X1640:$i]:(((in @ (kpair @ X1639 @ X1640) @ (dpsetconstr @ X1636 @ X1637 @ X1638))=>(in @ X1640 @ X1637)))=>(![X1641:$i, X1642:$i, X1643:$i > $i > $o, X1644:$i, X1645:$i]:(((in @ (kpair @ X1644 @ X1645) @ (dpsetconstr @ X1641 @ X1642 @ X1643))=>(X1643 @ X1644 @ X1645)))=>(![X1646:$i, X1647:$i, X1648:$i]:(((func @ X1646 @ X1647 @ X1648)=>![X1649:$i]:(((in @ X1649 @ X1646)=>(singleton @ (dsetconstr @ X1647 @ (^[Z0:$i]:((in @ (kpair @ X1649 @ Z0) @ X1648)))))))))=>(![X1650:$i, X1651:$i, X1652:$i]:(((func @ X1650 @ X1651 @ X1652)=>![X1653:$i]:(((in @ X1653 @ X1650)=>(in @ (setunion @ (dsetconstr @ X1651 @ (^[Z0:$i]:((in @ (kpair @ X1653 @ Z0) @ X1652))))) @ X1651)))))=>(![X1654:$i, X1655:$i, X1656:$i]:(((func @ X1654 @ X1655 @ X1656)=>![X1657:$i]:(((in @ X1657 @ X1654)=>(in @ (ap @ X1654 @ X1655 @ X1656 @ X1657) @ X1655)))))=>(![X1658:$i, X1659:$i, X1660:$i]:(((in @ X1660 @ (funcSet @ X1658 @ X1659))=>(func @ X1658 @ X1659 @ X1660)))=>(![X1661:$i, X1662:$i, X1663:$i]:(((in @ X1663 @ (funcSet @ X1661 @ X1662))=>![X1664:$i]:(((in @ X1664 @ X1661)=>(in @ (ap @ X1661 @ X1662 @ X1663 @ X1664) @ X1662)))))=>(![X1665:$i, X1666:$i, X1667:$i]:(((func @ X1665 @ X1666 @ X1667)=>(in @ X1667 @ (funcSet @ X1665 @ X1666))))=>(![X1668:$i, X1669:$i, X1670:$i > $i]:((![X1671:$i]:(((in @ X1671 @ X1668)=>(in @ (X1670 @ X1671) @ X1669)))=>(func @ X1668 @ X1669 @ (dpsetconstr @ X1668 @ X1669 @ (^[Z0:$i]:($eq @ (X1670 @ Z0)))))))=>(![X1672:$i, X1673:$i, X1674:$i > $i]:((![X1675:$i]:(((in @ X1675 @ X1672)=>(in @ (X1674 @ X1675) @ X1673)))=>(func @ X1672 @ X1673 @ (lam @ X1672 @ X1673 @ X1674))))=>(![X1676:$i, X1677:$i, X1678:$i > $i]:((![X1679:$i]:(((in @ X1679 @ X1676)=>(in @ (X1678 @ X1679) @ X1677)))=>(in @ (lam @ X1676 @ X1677 @ X1678) @ (funcSet @ X1676 @ X1677))))=>(![X1680:$i, X1681:$i, X1682:$i]:(((breln @ X1680 @ X1681 @ X1682)=>![X1683:$i > $o]:((![X1684:$i]:(((in @ X1684 @ X1680)=>![X1685:$i]:(((in @ X1685 @ X1681)=>((in @ (kpair @ X1684 @ X1685) @ X1682)=>(X1683 @ (kpair @ X1684 @ X1685)))))))=>![X1686:$i]:(((in @ X1686 @ X1682)=>(X1683 @ X1686)))))))=>(![X1687:$i, X1688:$i, X1689:$i]:(((breln @ X1687 @ X1688 @ X1689)=>![X1690:$i > $o]:((![X1691:$i]:(((in @ X1691 @ X1687)=>![X1692:$i]:(((in @ X1692 @ X1688)=>((in @ (kpair @ X1691 @ X1692) @ X1689)=>(X1690 @ (kpair @ X1691 @ X1692)))))))=>![X1693:$i]:(((in @ X1693 @ X1689)=>(X1690 @ X1693)))))))=>(![X1694:$i, X1695:$i > $o]:(((ex1 @ X1694 @ X1695)=>![X1696:$i]:(((in @ X1696 @ X1694)=>![X1697:$i]:(((in @ X1697 @ X1694)=>((X1695 @ X1696)=>((X1695 @ X1697)=>((X1696)=(X1697))))))))))=>(![X1698:$i, X1699:$i, X1700:$i]:(((func @ X1698 @ X1699 @ X1700)=>![X1701:$i]:(((in @ X1701 @ X1698)=>(in @ (kpair @ X1701 @ (ap @ X1698 @ X1699 @ X1700 @ X1701)) @ X1700)))))=>(![X1702:$i, X1703:$i, X1704:$i]:(((in @ X1704 @ (funcSet @ X1702 @ X1703))=>![X1705:$i]:(((in @ X1705 @ X1702)=>(in @ (kpair @ X1705 @ (ap @ X1702 @ X1703 @ X1704 @ X1705)) @ X1704)))))=>(![X1706:$i, X1707:$i, X1708:$i]:(((func @ X1706 @ X1707 @ X1708)=>![X1709:$i]:(((in @ X1709 @ X1706)=>![X1710:$i]:(((in @ X1710 @ X1707)=>((in @ (kpair @ X1709 @ X1710) @ X1708)=>((ap @ X1706 @ X1707 @ X1708 @ X1709)=(X1710)))))))))=>(![X1711:$i, X1712:$i, X1713:$i]:(((func @ X1711 @ X1712 @ X1713)=>![X1714:$i]:(((func @ X1711 @ X1712 @ X1714)=>(![X1715:$i]:(((in @ X1715 @ X1711)=>((ap @ X1711 @ X1712 @ X1713 @ X1715)=(ap @ X1711 @ X1712 @ X1714 @ X1715))))=>![X1716:$i]:(((in @ X1716 @ X1711)=>![X1717:$i]:(((in @ X1717 @ X1712)=>((in @ (kpair @ X1716 @ X1717) @ X1714)=>(in @ (kpair @ X1716 @ X1717) @ X1713)))))))))))=>(![X1718:$i, X1719:$i, X1720:$i]:(((in @ X1720 @ (funcSet @ X1718 @ X1719))=>![X1721:$i]:(((in @ X1721 @ X1718)=>![X1722:$i]:(((in @ X1722 @ X1719)=>((in @ (kpair @ X1721 @ X1722) @ X1720)=>((ap @ X1718 @ X1719 @ X1720 @ X1721)=(X1722)))))))))=>(![X1723:$i, X1724:$i, X1725:$i]:(((breln @ X1723 @ X1724 @ X1725)=>![X1726:$i]:(((breln @ X1723 @ X1724 @ X1726)=>(![X1727:$i]:(((in @ X1727 @ X1723)=>![X1728:$i]:(((in @ X1728 @ X1724)=>((in @ (kpair @ X1727 @ X1728) @ X1725)=>(in @ (kpair @ X1727 @ X1728) @ X1726))))))=>(subset @ X1725 @ X1726))))))=>(![X1729:$i, X1730:$i, X1731:$i]:(((breln @ X1729 @ X1730 @ X1731)=>![X1732:$i]:(((breln @ X1729 @ X1730 @ X1732)=>(![X1733:$i]:(((in @ X1733 @ X1729)=>![X1734:$i]:(((in @ X1734 @ X1730)=>((in @ (kpair @ X1733 @ X1734) @ X1731)=>(in @ (kpair @ X1733 @ X1734) @ X1732))))))=>(![X1735:$i]:(((in @ X1735 @ X1729)=>![X1736:$i]:(((in @ X1736 @ X1730)=>((in @ (kpair @ X1735 @ X1736) @ X1732)=>(in @ (kpair @ X1735 @ X1736) @ X1731))))))=>((X1731)=(X1732))))))))=>(![X1737:$i, X1738:$i, X1739:$i]:(((func @ X1737 @ X1738 @ X1739)=>![X1740:$i]:(((func @ X1737 @ X1738 @ X1740)=>(![X1741:$i]:(((in @ X1741 @ X1737)=>((ap @ X1737 @ X1738 @ X1739 @ X1741)=(ap @ X1737 @ X1738 @ X1740 @ X1741))))=>((X1739)=(X1740)))))))=>(![X1742:$i, X1743:$i, X1744:$i]:(((in @ X1744 @ (funcSet @ X1742 @ X1743))=>![X1745:$i]:(((in @ X1745 @ (funcSet @ X1742 @ X1743))=>(![X1746:$i]:(((in @ X1746 @ X1742)=>((ap @ X1742 @ X1743 @ X1744 @ X1746)=(ap @ X1742 @ X1743 @ X1745 @ X1746))))=>((X1744)=(X1745)))))))=>(![X1747:$i, X1748:$i, X1749:$i]:(((in @ X1749 @ (funcSet @ X1747 @ X1748))=>![X1750:$i]:(((in @ X1750 @ X1747)=>((ap @ X1747 @ X1748 @ X1749 @ X1750)=(ap @ X1747 @ X1748 @ X1749 @ X1750))))))=>(![X1751:$i, X1752:$i, X1753:$i]:(((func @ X1751 @ X1752 @ X1753)=>![X1754:$i]:(((in @ X1754 @ X1751)=>((ap @ X1751 @ X1752 @ X1753 @ X1754)=(ap @ X1751 @ X1752 @ X1753 @ X1754))))))=>(![X1755:$i, X1756:$i, X1757:$i > $i]:((![X1758:$i]:(((in @ X1758 @ X1755)=>(in @ (X1757 @ X1758) @ X1756)))=>![X1759:$i]:(((in @ X1759 @ X1755)=>((ap @ X1755 @ X1756 @ (lam @ X1755 @ X1756 @ X1757) @ X1759)=(X1757 @ X1759))))))=>(![X1760:$i, X1761:$i, X1762:$i]:(((func @ X1760 @ X1761 @ X1762)=>((lam @ X1760 @ X1761 @ (ap @ X1760 @ X1761 @ X1762))=(X1762))))=>(![X1763:$i, X1764:$i, X1765:$i > $i]:((![X1766:$i]:(((in @ X1766 @ X1763)=>(in @ (X1765 @ X1766) @ X1764)))=>((lam @ X1763 @ X1764 @ X1765)=(lam @ X1763 @ X1764 @ X1765))))=>(![X1767:$i, X1768:$i, X1769:$i > $i]:((![X1770:$i]:(((in @ X1770 @ X1767)=>(in @ (X1769 @ X1770) @ X1768)))=>![X1771:$i]:(((in @ X1771 @ X1767)=>((ap @ X1767 @ X1768 @ (lam @ X1767 @ X1768 @ X1769) @ X1771)=(X1769 @ X1771))))))=>(![X1772:$i, X1773:$i, X1774:$i]:(((in @ X1774 @ (funcSet @ X1772 @ X1773))=>((lam @ X1772 @ X1773 @ (ap @ X1772 @ X1773 @ X1774))=(X1774))))=>(![X1775:$i, X1776:$o, X1777:$i]:(((in @ X1777 @ X1775)=>![X1778:$i]:(((in @ X1778 @ X1775)=>(~(X1776)=>(in @ X1778 @ (dsetconstr @ X1775 @ (^[Z0:$i]:((((((X1776))&(((Z0)=(X1777)))))|(((~((X1776)))&(((Z0)=(X1778)))))))))))))))=>(![X1779:$i, X1780:$o, X1781:$i]:(((in @ X1781 @ X1779)=>![X1782:$i]:(((in @ X1782 @ X1779)=>(~(X1780)=>((dsetconstr @ X1779 @ (^[Z0:$i]:((((((X1780))&(((Z0)=(X1781)))))|(((~((X1780)))&(((Z0)=(X1782)))))))))=(setadjoin @ X1782 @ emptyset)))))))=>(![X1783:$i, X1784:$o, X1785:$i]:(((in @ X1785 @ X1783)=>![X1786:$i]:(((in @ X1786 @ X1783)=>((X1784)=>(in @ X1785 @ (dsetconstr @ X1783 @ (^[Z0:$i]:((((((X1784))&(((Z0)=(X1785)))))|(((~((X1784)))&(((Z0)=(X1786)))))))))))))))=>(![X1787:$i, X1788:$o, X1789:$i]:(((in @ X1789 @ X1787)=>![X1790:$i]:(((in @ X1790 @ X1787)=>((X1788)=>((dsetconstr @ X1787 @ (^[Z0:$i]:((((((X1788))&(((Z0)=(X1789)))))|(((~((X1788)))&(((Z0)=(X1790)))))))))=(setadjoin @ X1789 @ emptyset)))))))=>(![X1791:$i, X1792:$o, X1793:$i]:(((in @ X1793 @ X1791)=>![X1794:$i]:(((in @ X1794 @ X1791)=>(singleton @ (dsetconstr @ X1791 @ (^[Z0:$i]:((((((X1792))&(((Z0)=(X1793)))))|(((~((X1792)))&(((Z0)=(X1794))))))))))))))=>(![X1795:$i, X1796:$o, X1797:$i]:(((in @ X1797 @ X1795)=>![X1798:$i]:(((in @ X1798 @ X1795)=>(in @ (if @ X1795 @ ((X1796)) @ X1797 @ X1798) @ X1795)))))=>(![X1799:$i]:(((singleton @ X1799)=>![X1800:$i]:(((in @ X1800 @ X1799)=>((setunion @ X1799)=(X1800))))))=>(![X1801:$i, X1802:$o, X1803:$i]:(((in @ X1803 @ X1801)=>![X1804:$i]:(((in @ X1804 @ X1801)=>((X1802)=>((if @ X1801 @ ((X1802)) @ X1803 @ X1804)=(X1803)))))))=>(![X1805:$i, X1806:$o, X1807:$i]:(((in @ X1807 @ X1805)=>![X1808:$i]:(((in @ X1808 @ X1805)=>(~(X1806)=>((if @ X1805 @ ((X1806)) @ X1807 @ X1808)=(X1808)))))))=>(![X1809:$i, X1810:$o, X1811:$i]:(((in @ X1811 @ X1809)=>![X1812:$i]:(((in @ X1812 @ X1809)=>(in @ (if @ X1809 @ ((X1810)) @ X1811 @ X1812) @ (setadjoin @ X1811 @ (setadjoin @ X1812 @ emptyset)))))))=>(![X1813:$i, X1814:$i]:(((in @ X1814 @ (powerset @ X1813))=>![X1815:$i]:(((in @ X1815 @ (powerset @ X1813))=>(in @ (binintersect @ X1814 @ X1815) @ (powerset @ X1813))))))=>(![X1816:$i, X1817:$i]:(((in @ X1817 @ (powerset @ X1816))=>![X1818:$i]:(((in @ X1818 @ (powerset @ X1816))=>(in @ (binunion @ X1817 @ X1818) @ (powerset @ X1816))))))=>(![X1819:$i, X1820:$i]:(((in @ X1820 @ (powerset @ X1819))=>(in @ (powerset @ X1820) @ (powerset @ (powerset @ X1819)))))=>(![X1821:$i, X1822:$i]:(((in @ X1822 @ (powerset @ X1821))=>![X1823:$i]:(((in @ X1823 @ (powerset @ X1821))=>(in @ (setminus @ X1822 @ X1823) @ (powerset @ X1821))))))=>(![X1824:$i, X1825:$i]:(((in @ X1825 @ (powerset @ X1824))=>(in @ (setminus @ X1824 @ X1825) @ (powerset @ X1824))))=>(![X1826:$i, X1827:$i]:(((in @ X1827 @ (powerset @ X1826))=>![X1828:$i]:(((in @ X1828 @ (powerset @ X1826))=>(![X1829:$i]:(((in @ X1829 @ X1826)=>((in @ X1829 @ X1827)=>(in @ X1829 @ X1828))))=>(![X1830:$i]:(((in @ X1830 @ X1826)=>((in @ X1830 @ X1828)=>(in @ X1830 @ X1827))))=>((X1827)=(X1828))))))))=>(![X1831:$i, X1832:$i]:(((in @ X1832 @ (powerset @ X1831))=>![X1833:$i]:(((in @ X1833 @ (powerset @ X1831))=>(![X1834:$i]:(((in @ X1834 @ X1831)=>((in @ X1834 @ X1832)=>(in @ X1834 @ X1833))))=>(subset @ X1832 @ X1833))))))=>(![X1835:$i, X1836:$i]:(((in @ X1836 @ (powerset @ X1835))=>![X1837:$i]:(((in @ X1837 @ (powerset @ X1835))=>(![X1838:$i]:(((in @ X1838 @ X1835)=>((in @ X1838 @ X1836)=>(in @ X1838 @ X1837))))=>(in @ X1836 @ (powerset @ X1837)))))))=>(![X1839:$i, X1840:$i]:(((in @ X1840 @ (powerset @ X1839))=>![X1841:$i]:(((in @ X1841 @ (powerset @ X1839))=>![X1842:$i]:(((in @ X1842 @ X1839)=>((in @ X1840 @ (powerset @ X1841))=>((in @ X1842 @ X1840)=>(in @ X1842 @ X1841)))))))))=>(![X1843:$i, X1844:$i]:(((in @ X1844 @ (powerset @ X1843))=>![X1845:$i]:(((in @ X1845 @ X1843)=>((in @ X1845 @ X1844)=>~(in @ X1845 @ (setminus @ X1843 @ X1844)))))))=>(![X1846:$i, X1847:$i]:(((in @ X1847 @ (powerset @ X1846))=>![X1848:$i]:(((in @ X1848 @ X1846)=>(~(in @ X1848 @ (setminus @ X1846 @ X1847))=>(in @ X1848 @ X1847))))))=>(![X1849:$i, X1850:$i]:(((in @ X1850 @ (powerset @ X1849))=>![X1851:$i]:(((in @ X1851 @ (powerset @ X1849))=>![X1852:$i]:(((in @ X1852 @ X1849)=>(~(in @ X1852 @ X1850)=>~(in @ X1852 @ (binintersect @ X1850 @ X1851)))))))))=>(![X1853:$i, X1854:$i]:(((in @ X1854 @ (powerset @ X1853))=>![X1855:$i]:(((in @ X1855 @ (powerset @ X1853))=>![X1856:$i]:(((in @ X1856 @ X1853)=>(~(in @ X1856 @ X1855)=>~(in @ X1856 @ (binintersect @ X1854 @ X1855)))))))))=>(![X1857:$i, X1858:$i]:(((in @ X1858 @ (powerset @ X1857))=>![X1859:$i]:(((in @ X1859 @ (powerset @ X1857))=>![X1860:$i]:(((in @ X1860 @ X1857)=>((subset @ X1858 @ (setminus @ X1857 @ X1859))=>((in @ X1860 @ X1859)=>~(in @ X1860 @ X1858)))))))))=>(![X1861:$i, X1862:$i]:(((in @ X1862 @ (powerset @ X1861))=>![X1863:$i]:(((in @ X1863 @ (powerset @ X1861))=>![X1864:$i]:(((in @ X1864 @ X1861)=>((subset @ X1862 @ X1863)=>(~(in @ X1864 @ X1863)=>~(in @ X1864 @ X1862)))))))))=>(![X1865:$i, X1866:$i]:(((in @ X1866 @ (powerset @ X1865))=>![X1867:$i]:(((in @ X1867 @ (powerset @ X1865))=>((subset @ X1866 @ X1867)=>(subset @ (setminus @ X1865 @ X1867) @ (setminus @ X1865 @ X1866)))))))=>(![X1868:$i, X1869:$i]:(((in @ X1869 @ (powerset @ X1868))=>![X1870:$i]:(((in @ X1870 @ (powerset @ X1868))=>((subset @ (setminus @ X1868 @ X1870) @ (setminus @ X1868 @ X1869))=>(subset @ X1869 @ X1870))))))=>(![X1871:$i, X1872:$i]:(((in @ X1872 @ (powerset @ X1871))=>![X1873:$i]:(((in @ X1873 @ X1871)=>((in @ X1873 @ X1872)=>(in @ X1873 @ (setminus @ X1871 @ (setminus @ X1871 @ X1872))))))))=>(![X1874:$i, X1875:$i]:(((in @ X1875 @ (powerset @ X1874))=>![X1876:$i]:(((in @ X1876 @ X1874)=>((in @ X1876 @ (setminus @ X1874 @ (setminus @ X1874 @ X1875)))=>(in @ X1876 @ X1875))))))=>(![X1877:$i, X1878:$i]:(((in @ X1878 @ (powerset @ X1877))=>(subset @ X1878 @ (setminus @ X1877 @ (setminus @ X1877 @ X1878)))))=>(![X1879:$i, X1880:$i]:(((in @ X1880 @ (powerset @ X1879))=>(subset @ (setminus @ X1879 @ (setminus @ X1879 @ X1880)) @ X1880)))=>(![X1881:$i, X1882:$i]:(((in @ X1882 @ (powerset @ X1881))=>((X1882)=(setminus @ X1881 @ (setminus @ X1881 @ X1882)))))=>(![X1883:$i, X1884:$i]:(((in @ X1884 @ (powerset @ X1883))=>![X1885:$i]:(((in @ X1885 @ (powerset @ X1883))=>![X1886:$i]:(((in @ X1886 @ X1883)=>((in @ X1886 @ (setminus @ X1883 @ X1884))=>~(in @ X1886 @ (binintersect @ X1884 @ X1885)))))))))=>(![X1887:$i, X1888:$i]:(((in @ X1888 @ (powerset @ X1887))=>![X1889:$i]:(((in @ X1889 @ (powerset @ X1887))=>![X1890:$i]:(((in @ X1890 @ X1887)=>((in @ X1890 @ (setminus @ X1887 @ X1888))=>(in @ X1890 @ (setminus @ X1887 @ (binintersect @ X1888 @ X1889))))))))))=>(![X1891:$i, X1892:$i]:(((in @ X1892 @ (powerset @ X1891))=>![X1893:$i]:(((in @ X1893 @ (powerset @ X1891))=>(subset @ (setminus @ X1891 @ X1892) @ (setminus @ X1891 @ (binintersect @ X1892 @ X1893)))))))=>(![X1894:$i, X1895:$i]:(((in @ X1895 @ (powerset @ X1894))=>![X1896:$i]:(((in @ X1896 @ (powerset @ X1894))=>(in @ (setminus @ X1894 @ X1895) @ (powerset @ (setminus @ X1894 @ (binintersect @ X1895 @ X1896))))))))=>(![X1897:$i, X1898:$i]:(((in @ X1898 @ (powerset @ X1897))=>![X1899:$i]:(((in @ X1899 @ (powerset @ X1897))=>((subset @ X1898 @ (setminus @ X1897 @ X1899))=>![X1900:$i]:(((in @ X1900 @ X1897)=>((in @ X1900 @ X1899)=>(in @ X1900 @ (setminus @ X1897 @ X1898))))))))))=>(![X1901:$i, X1902:$i]:(((in @ X1902 @ (powerset @ X1901))=>![X1903:$i]:(((in @ X1903 @ (powerset @ X1901))=>((subset @ X1902 @ (setminus @ X1901 @ X1903))=>(subset @ X1903 @ (setminus @ X1901 @ X1902)))))))=>(![X1904:$i, X1905:$i]:(((in @ X1905 @ (powerset @ X1904))=>![X1906:$i]:(((in @ X1906 @ (powerset @ X1904))=>![X1907:$i]:(((in @ X1907 @ X1904)=>(~(in @ X1907 @ (binunion @ X1905 @ X1906))=>~(in @ X1907 @ X1905))))))))=>(![X1908:$i, X1909:$i]:(((in @ X1909 @ (powerset @ X1908))=>![X1910:$i]:(((in @ X1910 @ (powerset @ X1908))=>![X1911:$i]:(((in @ X1911 @ X1908)=>(~(in @ X1911 @ (binunion @ X1909 @ X1910))=>~(in @ X1911 @ X1910))))))))=>(![X1912:$i, X1913:$i]:(((in @ X1913 @ (powerset @ X1912))=>![X1914:$i]:(((in @ X1914 @ (powerset @ X1912))=>![X1915:$i]:(((in @ X1915 @ (powerset @ X1912))=>![X1916:$i]:(((in @ X1916 @ X1912)=>((in @ X1916 @ (binintersect @ X1913 @ X1914))=>(in @ X1916 @ (binunion @ X1913 @ X1915)))))))))))=>(![X1917:$i, X1918:$i]:(((in @ X1918 @ (powerset @ X1917))=>![X1919:$i]:(((in @ X1919 @ (powerset @ X1917))=>![X1920:$i]:(((in @ X1920 @ (powerset @ X1917))=>![X1921:$i]:(((in @ X1921 @ X1917)=>((in @ X1921 @ (binintersect @ X1918 @ X1919))=>(in @ X1921 @ (binunion @ X1919 @ X1920)))))))))))=>(![X1922:$i, X1923:$i]:(((in @ X1923 @ (powerset @ X1922))=>![X1924:$i]:(((in @ X1924 @ (powerset @ X1922))=>![X1925:$i]:(((in @ X1925 @ (powerset @ X1922))=>![X1926:$i]:(((in @ X1926 @ X1922)=>((in @ X1926 @ (binintersect @ X1923 @ X1924))=>(in @ X1926 @ (binintersect @ (binunion @ X1923 @ X1925) @ (binunion @ X1924 @ X1925))))))))))))=>(![X1927:$i, X1928:$i]:(((in @ X1928 @ (powerset @ X1927))=>![X1929:$i]:(((in @ X1929 @ (powerset @ X1927))=>![X1930:$i]:(((in @ X1930 @ (powerset @ X1927))=>(in @ (binintersect @ X1928 @ X1929) @ (powerset @ (binintersect @ (binunion @ X1928 @ X1930) @ (binunion @ X1929 @ X1930))))))))))=>(![X1931:$i, X1932:$i]:(((in @ X1932 @ (powerset @ X1931))=>![X1933:$i]:(((in @ X1933 @ (powerset @ X1931))=>![X1934:$i]:(((in @ X1934 @ X1931)=>((in @ X1934 @ (setminus @ X1931 @ (binunion @ X1932 @ X1933)))=>~(in @ X1934 @ X1932))))))))=>(![X1935:$i, X1936:$i]:(((in @ X1936 @ (powerset @ X1935))=>![X1937:$i]:(((in @ X1937 @ (powerset @ X1935))=>![X1938:$i]:(((in @ X1938 @ X1935)=>((in @ X1938 @ (setminus @ X1935 @ (binunion @ X1936 @ X1937)))=>(in @ X1938 @ (setminus @ X1935 @ X1936)))))))))=>(![X1939:$i, X1940:$i]:(((in @ X1940 @ (powerset @ X1939))=>![X1941:$i]:(((in @ X1941 @ (powerset @ X1939))=>![X1942:$o, X1943:$i]:(((in @ X1943 @ X1939)=>((in @ X1943 @ (binunion @ X1940 @ X1941))=>(((in @ X1943 @ X1940)=>(X1942))=>(((in @ X1943 @ X1941)=>(X1942))=>(X1942))))))))))=>(![X1944:$i, X1945:$i]:(((in @ X1945 @ (powerset @ X1944))=>![X1946:$i]:(((in @ X1946 @ (powerset @ X1944))=>![X1947:$i]:(((in @ X1947 @ X1944)=>(~(in @ X1947 @ X1945)=>(~(in @ X1947 @ X1946)=>~(in @ X1947 @ (binunion @ X1945 @ X1946))))))))))=>(![X1948:$i, X1949:$i]:(((in @ X1949 @ (powerset @ X1948))=>![X1950:$i]:(((in @ X1950 @ (powerset @ X1948))=>![X1951:$i]:(((in @ X1951 @ X1948)=>((in @ X1951 @ (setminus @ X1948 @ (binunion @ X1949 @ X1950)))=>(in @ X1951 @ (setminus @ X1948 @ X1949)))))))))=>(![X1952:$i, X1953:$i]:(((in @ X1953 @ (powerset @ X1952))=>![X1954:$i]:(((in @ X1954 @ (powerset @ X1952))=>(in @ (setminus @ X1952 @ (binunion @ X1953 @ X1954)) @ (powerset @ (setminus @ X1952 @ X1953)))))))=>(![X1955:$i, X1956:$i]:(((in @ X1956 @ (powerset @ X1955))=>![X1957:$i]:(((in @ X1957 @ (powerset @ X1955))=>![X1958:$i]:(((in @ X1958 @ X1955)=>((in @ X1958 @ (setminus @ X1955 @ (binunion @ X1956 @ X1957)))=>(in @ X1958 @ (setminus @ X1955 @ X1957)))))))))=>(![X1959:$i, X1960:$i]:(((in @ X1960 @ (powerset @ X1959))=>![X1961:$i]:(((in @ X1961 @ (powerset @ X1959))=>![X1962:$i]:(((in @ X1962 @ X1959)=>((in @ X1962 @ (setminus @ X1959 @ (binintersect @ X1960 @ X1961)))=>(in @ X1962 @ (binunion @ (setminus @ X1959 @ X1960) @ (setminus @ X1959 @ X1961))))))))))=>(![X1963:$i, X1964:$i]:(((in @ X1964 @ (powerset @ X1963))=>![X1965:$i]:(((in @ X1965 @ (powerset @ X1963))=>![X1966:$i]:(((in @ X1966 @ X1963)=>((in @ X1966 @ (binunion @ (setminus @ X1963 @ X1964) @ (setminus @ X1963 @ X1965)))=>(in @ X1966 @ (setminus @ X1963 @ (binintersect @ X1964 @ X1965))))))))))=>(![X1967:$i, X1968:$i]:(((in @ X1968 @ (powerset @ X1967))=>![X1969:$i]:(((in @ X1969 @ (powerset @ X1967))=>((setminus @ X1967 @ (binintersect @ X1968 @ X1969))=(binunion @ (setminus @ X1967 @ X1968) @ (setminus @ X1967 @ X1969)))))))=>(![X1970:$i, X1971:$i]:(((in @ X1971 @ (powerset @ X1970))=>![X1972:$i]:(((in @ X1972 @ (powerset @ X1970))=>![X1973:$i]:(((in @ X1973 @ X1970)=>((in @ X1973 @ (setminus @ X1970 @ (binunion @ X1971 @ X1972)))=>(in @ X1973 @ (binintersect @ (setminus @ X1970 @ X1971) @ (setminus @ X1970 @ X1972))))))))))=>(![X1974:$i, X1975:$i]:(((in @ X1975 @ (powerset @ X1974))=>![X1976:$i]:(((in @ X1976 @ (powerset @ X1974))=>![X1977:$i]:(((in @ X1977 @ X1974)=>((in @ X1977 @ (setminus @ X1974 @ X1975))=>((in @ X1977 @ (setminus @ X1974 @ X1976))=>(in @ X1977 @ (setminus @ X1974 @ (binunion @ X1975 @ X1976)))))))))))=>(![X1978:$i, X1979:$i]:(((in @ X1979 @ (powerset @ X1978))=>![X1980:$i]:(((in @ X1980 @ (powerset @ X1978))=>![X1981:$i]:(((in @ X1981 @ X1978)=>((in @ X1981 @ (binintersect @ (setminus @ X1978 @ X1979) @ (setminus @ X1978 @ X1980)))=>(in @ X1981 @ (setminus @ X1978 @ (binunion @ X1979 @ X1980))))))))))=>(![X1982:$i, X1983:$i]:(((in @ X1983 @ (powerset @ X1982))=>![X1984:$i]:(((in @ X1984 @ (powerset @ X1982))=>((setminus @ X1982 @ (binunion @ X1983 @ X1984))=(binintersect @ (setminus @ X1982 @ X1983) @ (setminus @ X1982 @ X1984)))))))=>(![X1985:$i, X1986:$i]:(((in @ X1986 @ (powerset @ X1985))=>![X1987:$i]:(((in @ X1987 @ (powerset @ X1985))=>![X1988:$i]:(((in @ X1988 @ (binintersect @ X1986 @ X1987))=>(in @ X1988 @ X1985)))))))=>(![X1989:$i, X1990:$i]:(((in @ X1990 @ (powerset @ X1989))=>![X1991:$i]:(((in @ X1991 @ (powerset @ X1989))=>![X1992:$i]:(((in @ X1992 @ (powerset @ X1989))=>((subset @ X1990 @ X1992)=>(subset @ (binintersect @ X1990 @ X1991) @ X1992))))))))=>(![X1993:$i, X1994:$i]:(((in @ X1994 @ (powerset @ X1993))=>![X1995:$i]:(((in @ X1995 @ (powerset @ X1993))=>![X1996:$i]:(((in @ X1996 @ (powerset @ X1993))=>((subset @ X1995 @ X1996)=>(subset @ (binintersect @ X1994 @ X1995) @ X1996))))))))=>(![X1997:$i, X1998:$i]:(((in @ X1998 @ (powerset @ X1997))=>![X1999:$i]:(((in @ X1999 @ (powerset @ X1997))=>![X2000:$i]:(((in @ X2000 @ (powerset @ X1997))=>((subset @ X1998 @ X1999)=>((subset @ X1998 @ X2000)=>(subset @ X1998 @ (binintersect @ X1999 @ X2000))))))))))=>(![X2001:$i, X2002:$i]:(((in @ X2002 @ (powerset @ X2001))=>![X2003:$i]:(((in @ X2003 @ (powerset @ X2001))=>![X2004:$i]:(((in @ X2004 @ (powerset @ X2001))=>![X2005:$i]:(((in @ X2005 @ (powerset @ X2001))=>((subset @ X2002 @ X2004)=>((subset @ X2003 @ X2005)=>(subset @ (binintersect @ X2002 @ X2003) @ (binintersect @ X2004 @ X2005))))))))))))=>(![X2006:$i, X2007:$i]:(((in @ X2007 @ (powerset @ X2006))=>![X2008:$i]:(((in @ X2008 @ (powerset @ X2006))=>(in @ (setminus @ X2006 @ X2007) @ (powerset @ (setminus @ X2006 @ (binintersect @ X2007 @ X2008))))))))=>(![X2009:$i, X2010:$i]:(((in @ X2010 @ (powerset @ X2009))=>![X2011:$i]:(((in @ X2011 @ (powerset @ X2009))=>![X2012:$i]:(((in @ X2012 @ (powerset @ X2009))=>![X2013:$i]:(((in @ X2013 @ (powerset @ X2009))=>((setminus @ X2009 @ (binintersect @ (binunion @ X2010 @ X2011) @ (binunion @ X2012 @ X2013)))=(binunion @ (binintersect @ (setminus @ X2009 @ X2010) @ (setminus @ X2009 @ X2011)) @ (binintersect @ (setminus @ X2009 @ X2012) @ (setminus @ X2009 @ X2013))))))))))))=>(![X2014:$i, X2015:$i]:(((in @ X2015 @ (powerset @ X2014))=>![X2016:$i]:(((in @ X2016 @ (powerset @ X2014))=>![X2017:$i]:(((in @ X2017 @ (powerset @ X2014))=>(in @ (binintersect @ X2015 @ X2016) @ (powerset @ (binintersect @ (binunion @ X2015 @ X2017) @ (binunion @ X2016 @ X2017))))))))))=>(![X2018:$i, X2019:$i]:(((in @ X2019 @ (powerset @ X2018))=>![X2020:$i]:(((in @ X2020 @ (powerset @ X2018))=>((subset @ X2019 @ (setminus @ X2018 @ X2020))=>(subset @ X2020 @ (setminus @ X2018 @ X2019)))))))=>(![X2021:$i, X2022:$i]:(((in @ X2022 @ (powerset @ X2021))=>![X2023:$i]:(((in @ X2023 @ (powerset @ X2021))=>(in @ (setminus @ X2021 @ (binunion @ X2022 @ X2023)) @ (powerset @ (setminus @ X2021 @ X2022)))))))=>(![X2024:$i, X2025:$i]:(((breln1 @ X2024 @ X2025)=>![X2026:$i > $o]:((![X2027:$i]:(((in @ X2027 @ X2024)=>![X2028:$i]:(((in @ X2028 @ X2024)=>((in @ (kpair @ X2027 @ X2028) @ X2025)=>(X2026 @ (kpair @ X2027 @ X2028)))))))=>![X2029:$i]:(((in @ X2029 @ X2025)=>(X2026 @ X2029)))))))=>(![X2030:$i, X2031:$i]:(((in @ X2031 @ (breln1Set @ X2030))=>(breln1 @ X2030 @ X2031)))=>((choice2fnsingleton)=>(![X2032:$i, X2033:$i > $i > $o]:((breln1 @ X2032 @ (dpsetconstr @ X2032 @ X2032 @ X2033)))=>(![X2034:$i, X2035:$i]:(((breln1 @ X2034 @ X2035)=>![X2036:$i > $o]:((![X2037:$i]:(((in @ X2037 @ X2034)=>![X2038:$i]:(((in @ X2038 @ X2034)=>((in @ (kpair @ X2037 @ X2038) @ X2035)=>(X2036 @ (kpair @ X2037 @ X2038)))))))=>![X2039:$i]:(((in @ X2039 @ X2035)=>(X2036 @ X2039)))))))=>(![X2040:$i, X2041:$i]:(((breln1 @ X2040 @ X2041)=>![X2042:$i]:(((breln1 @ X2040 @ X2042)=>(![X2043:$i]:(((in @ X2043 @ X2040)=>![X2044:$i]:(((in @ X2044 @ X2040)=>((in @ (kpair @ X2043 @ X2044) @ X2041)=>(in @ (kpair @ X2043 @ X2044) @ X2042))))))=>(subset @ X2041 @ X2042))))))=>(![X2045:$i, X2046:$i]:(((breln1 @ X2045 @ X2046)=>![X2047:$i]:(((breln1 @ X2045 @ X2047)=>(![X2048:$i]:(((in @ X2048 @ X2045)=>![X2049:$i]:(((in @ X2049 @ X2045)=>((in @ (kpair @ X2048 @ X2049) @ X2046)=>(in @ (kpair @ X2048 @ X2049) @ X2047))))))=>(![X2050:$i]:(((in @ X2050 @ X2045)=>![X2051:$i]:(((in @ X2051 @ X2045)=>((in @ (kpair @ X2050 @ X2051) @ X2047)=>(in @ (kpair @ X2050 @ X2051) @ X2046))))))=>((X2046)=(X2047))))))))=>(![X2052:$i, X2053:$i]:(((breln1 @ X2052 @ X2053)=>(breln1 @ X2052 @ (breln1invset @ X2052 @ X2053))))=>(![X2054:$i, X2055:$i]:(((breln1 @ X2054 @ X2055)=>![X2056:$i]:(((in @ X2056 @ X2054)=>![X2057:$i]:(((in @ X2057 @ X2054)=>((in @ (kpair @ X2056 @ X2057) @ X2055)=>(in @ (kpair @ X2057 @ X2056) @ (breln1invset @ X2054 @ X2055)))))))))=>(![X2058:$i, X2059:$i]:(((breln1 @ X2058 @ X2059)=>![X2060:$i]:(((in @ X2060 @ X2058)=>![X2061:$i]:(((in @ X2061 @ X2058)=>((in @ (kpair @ X2061 @ X2060) @ (breln1invset @ X2058 @ X2059))=>(in @ (kpair @ X2060 @ X2061) @ X2059))))))))=>(![X2062:$i, X2063:$i]:(((breln1 @ X2062 @ X2063)=>![X2064:$i]:(((breln1 @ X2062 @ X2064)=>(breln1 @ X2062 @ (breln1compset @ X2062 @ X2063 @ X2064))))))=>(![X2065:$i, X2066:$i]:(((breln1 @ X2065 @ X2066)=>![X2067:$i]:(((breln1 @ X2065 @ X2067)=>![X2068:$i]:(((in @ X2068 @ X2065)=>![X2069:$i]:(((in @ X2069 @ X2065)=>![X2070:$i]:(((in @ X2070 @ X2065)=>((in @ (kpair @ X2068 @ X2070) @ X2066)=>((in @ (kpair @ X2070 @ X2069) @ X2067)=>(in @ (kpair @ X2068 @ X2069) @ (breln1compset @ X2065 @ X2066 @ X2067))))))))))))))=>(![X2071:$i, X2072:$i]:(((breln1 @ X2071 @ X2072)=>![X2073:$i]:(((breln1 @ X2071 @ X2073)=>![X2074:$i]:(((in @ X2074 @ X2071)=>![X2075:$i]:(((in @ X2075 @ X2071)=>((in @ (kpair @ X2074 @ X2075) @ (breln1compset @ X2071 @ X2072 @ X2073))=>?[X2076:$i]:((((in @ X2076 @ X2071)&(in @ (kpair @ X2074 @ X2076) @ X2072))&(in @ (kpair @ X2076 @ X2075) @ X2073))))))))))))=>(![X2077:$i, X2078:$i]:(((breln1 @ X2077 @ X2078)=>![X2079:$i]:(((breln1 @ X2077 @ X2079)=>![X2080:$i]:(((in @ X2080 @ X2077)=>![X2081:$i]:(((in @ X2081 @ X2077)=>((in @ (kpair @ X2080 @ X2081) @ (breln1compset @ X2077 @ X2078 @ X2079))=>![X2082:$o]:((![X2083:$i]:(((in @ X2083 @ X2077)=>((in @ (kpair @ X2080 @ X2083) @ X2078)=>((in @ (kpair @ X2083 @ X2081) @ X2079)=>(X2082)))))=>(X2082))))))))))))=>(![X2084:$i, X2085:$i]:(((breln1 @ X2084 @ X2085)=>![X2086:$i]:(((breln1 @ X2084 @ X2086)=>(breln1 @ X2084 @ (binunion @ X2085 @ X2086))))))=>(![X2087:$i, X2088:$i]:(((breln1 @ X2087 @ X2088)=>![X2089:$i]:(((breln1 @ X2087 @ X2089)=>![X2090:$i]:(((in @ X2090 @ X2087)=>![X2091:$i]:(((in @ X2091 @ X2087)=>((in @ (kpair @ X2090 @ X2091) @ X2088)=>(in @ (kpair @ X2090 @ X2091) @ (binunion @ X2088 @ X2089)))))))))))=>(![X2092:$i, X2093:$i]:(((breln1 @ X2092 @ X2093)=>![X2094:$i]:(((breln1 @ X2092 @ X2094)=>![X2095:$i]:(((in @ X2095 @ X2092)=>![X2096:$i]:(((in @ X2096 @ X2092)=>((in @ (kpair @ X2095 @ X2096) @ X2094)=>(in @ (kpair @ X2095 @ X2096) @ (binunion @ X2093 @ X2094)))))))))))=>(![X2097:$i, X2098:$i]:(((breln1 @ X2097 @ X2098)=>![X2099:$i]:(((breln1 @ X2097 @ X2099)=>![X2100:$i]:(((in @ X2100 @ X2097)=>![X2101:$i]:(((in @ X2101 @ X2097)=>(((in @ (kpair @ X2100 @ X2101) @ X2098)|(in @ (kpair @ X2100 @ X2101) @ X2099))=>(in @ (kpair @ X2100 @ X2101) @ (binunion @ X2098 @ X2099)))))))))))=>(![X2102:$i, X2103:$i]:(((breln1 @ X2102 @ X2103)=>![X2104:$i]:(((breln1 @ X2102 @ X2104)=>![X2105:$i]:(((in @ X2105 @ X2102)=>![X2106:$i]:(((in @ X2106 @ X2102)=>((in @ (kpair @ X2105 @ X2106) @ (binunion @ X2103 @ X2104))=>((in @ (kpair @ X2105 @ X2106) @ X2103)|(in @ (kpair @ X2105 @ X2106) @ X2104)))))))))))=>(![X2107:$i, X2108:$i]:(((breln1 @ X2107 @ X2108)=>![X2109:$i]:(((breln1 @ X2107 @ X2109)=>![X2110:$i]:(((in @ X2110 @ X2107)=>![X2111:$i]:(((in @ X2111 @ X2107)=>((in @ (kpair @ X2110 @ X2111) @ (binunion @ X2108 @ X2109))=>![X2112:$o]:((((in @ (kpair @ X2110 @ X2111) @ X2108)=>(X2112))=>(((in @ (kpair @ X2110 @ X2111) @ X2109)=>(X2112))=>(X2112)))))))))))))=>(![X2113:$i, X2114:$i]:(((breln1 @ X2113 @ X2114)=>![X2115:$i]:(((breln1 @ X2113 @ X2115)=>((binunion @ X2114 @ X2115)=(binunion @ X2115 @ X2114))))))=>(![X2116:$i, X2117:$i]:(((breln1 @ X2116 @ X2117)=>((X2117)=(breln1invset @ X2116 @ (breln1invset @ X2116 @ X2117)))))=>(![X2118:$i, X2119:$i]:(((breln1 @ X2118 @ X2119)=>![X2120:$i]:(((breln1 @ X2118 @ X2120)=>((breln1invset @ X2118 @ (breln1compset @ X2118 @ X2119 @ X2120))=(breln1compset @ X2118 @ (breln1invset @ X2118 @ X2120) @ (breln1invset @ X2118 @ X2119)))))))=>(![X2121:$i, X2122:$i]:(((breln1 @ X2121 @ X2122)=>![X2123:$i]:(((breln1 @ X2121 @ X2123)=>![X2124:$i]:(((breln1 @ X2121 @ X2124)=>((breln1compset @ X2121 @ (binunion @ X2122 @ X2123) @ X2124)=(binunion @ (breln1compset @ X2121 @ X2122 @ X2124) @ (breln1compset @ X2121 @ X2123 @ X2124)))))))))=>(![X2125:$i, X2126:$i]:(((breln1 @ X2125 @ X2126)=>![X2127:$i]:(((breln1 @ X2125 @ X2127)=>![X2128:$i]:(((breln1 @ X2125 @ X2128)=>((breln1compset @ X2125 @ (binunion @ X2126 @ X2127) @ X2128)=(binunion @ (breln1invset @ X2125 @ (breln1compset @ X2125 @ (breln1invset @ X2125 @ X2128) @ (breln1invset @ X2125 @ X2127))) @ (breln1invset @ X2125 @ (breln1compset @ X2125 @ (breln1invset @ X2125 @ X2128) @ (breln1invset @ X2125 @ X2126)))))))))))=>(![X2129:$i, X2130:$i > $i]:(?[X2131:$i]:(![X2132:$i]:(((in @ X2132 @ X2131)<=>?[X2133:$i]:(((in @ X2133 @ X2129)&((X2132)=(X2130 @ X2133))))))))=>(![X2134:$i, X2135:$i > $i]:((exu @ (^[Z0:$i]:(![X2136:$i]:((((in @ X2136 @ Z0))<=>(?[X2137:$i]:((((in @ X2137 @ X2134))&(((X2136)=(X2135 @ X2137))))))))))))=>(![X2138:$i, X2139:$i > $i, X2140:$i]:(((in @ X2140 @ (image1 @ X2138 @ X2139))<=>?[X2141:$i]:(((in @ X2141 @ X2138)&((X2140)=(X2139 @ X2141))))))=>(![X2142:$i, X2143:$i > $i, X2144:$i]:(((in @ X2144 @ (image1 @ X2142 @ X2143))=>?[X2145:$i]:(((in @ X2145 @ X2142)&((X2144)=(X2143 @ X2145))))))=>(![X2146:$i, X2147:$i > $i, X2148:$i]:((?[X2149:$i]:(((in @ X2149 @ X2146)&((X2148)=(X2147 @ X2149))))=>(in @ X2148 @ (image1 @ X2146 @ X2147))))=>(![X2150:$i, X2151:$i, X2152:$i]:(((in @ X2152 @ (funcSet @ X2150 @ X2151))=>((injective @ X2150 @ X2151 @ X2152)=>(in @ X2152 @ (injFuncSet @ X2150 @ X2151)))))=>(![X2153:$i, X2154:$i, X2155:$i]:(((in @ X2155 @ (injFuncSet @ X2153 @ X2154))=>(in @ X2155 @ (funcSet @ X2153 @ X2154))))=>(![X2156:$i, X2157:$i, X2158:$i]:(((in @ X2158 @ (injFuncSet @ X2156 @ X2157))=>(injective @ X2156 @ X2157 @ X2158)))=>(![X2159:$i, X2160:$i, X2161:$i]:(((in @ X2161 @ (surjFuncSet @ X2159 @ X2160))=>(in @ X2161 @ (funcSet @ X2159 @ X2160))))=>(![X2162:$i, X2163:$i, X2164:$i]:(((in @ X2164 @ (surjFuncSet @ X2162 @ X2163))=>(surjective @ X2162 @ X2163 @ X2164)))=>(![X2165:$i, X2166:$i, X2167:$i > $i]:((![X2168:$i]:(((in @ X2168 @ X2165)=>(in @ (X2167 @ X2168) @ X2166)))=>![X2169:$i]:(((in @ X2169 @ (funcSet @ X2166 @ X2165))=>(![X2170:$i]:(((in @ X2170 @ X2165)=>((ap @ X2166 @ X2165 @ X2169 @ (X2167 @ X2170))=(X2170))))=>(surjective @ X2166 @ X2165 @ X2169))))))=>(![X2171:$i, X2172:$i]:(((in @ X2172 @ (funcSet @ X2171 @ (powerset @ X2171)))=>~(surjective @ X2171 @ (powerset @ X2171) @ X2172)))=>![X4:$i]:((((X4)!=(emptyset))=>?[X21:$i]:(((in @ X21 @ X4)&((binintersect @ X21 @ X4)=(emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(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_323, demorgan2a1]), binunionTEcontra]), complementUnionInPowersetComplement]), demorgan2a2]), demorgan1a]), demorgan1b]), demorgan1]), demorgan2a]), demorgan2b2]), demorgan2b]), demorgan2]), woz13rule0]), c_0_324]), woz13rule1]), c_0_325]), woz13rule2]), omega__Cong]), woz13rule3]), setunion__Cong]), woz13rule4]), c_0_326]), woz1_1]), powerset__Cong]), woz1_2]), setadjoin__Cong]), woz1_3]), emptyset__Cong]), woz1_4]), c_0_327]), woz1_5]), setextsub]), breln1all2]), breln1SetBreln1]), c_0_328]), breln1all1]), subbreln1]), eqbreln1]), breln1invprop]), breln1invI]), breln1invE]), breln1compprop]), breln1compI]), breln1compE]), subsetE2]), breln1compEex]), subsetE]), breln1unionprop]), emptysetsubset]), breln1unionIL]), subsetI2]), breln1unionIR]), eqimpsubset1]), breln1unionI]), eqimpsubset2]), breln1unionE]), subsetI1]), breln1unionEcases]), notsubsetI]), breln1unionCommutes]), woz2Ex]), woz2W]), woz2A]), woz2B]), image1Ex]), c_0_329]), c_0_330]), c_0_331]), c_0_332]), injFuncInInjFuncSet]), injFuncSetFuncIn]), injFuncSetFuncInj]), surjFuncSetFuncIn]), subset2powerset]), surjFuncSetFuncSurj]), setadjoinSub2]), leftInvIsSurj]), setadjoinSub]), surjCantorThm]), subsetTrans]), c_0_321]), subsetRefl]), notequalI2]), notequalI1]), binintersectSubset1]), setminusELneg]), c_0_333]), c_0_334]), powersetsubset]), inPowerset]), powersetE1]), powersetI1]), subsetemptysetimpeq]), binunionIL]), c_0_335]), binintersectI]), binunionRsub]), binunionLsub]), binunionE]), binunionEcases]), binunionIR]), upairset2IR]), binintersectSubset5]), binintersectRsub]), disjointsetsI1]), binintersectER]), binintersectSubset3]), binintersectSubset2]), binintersectLsub]), binintersectEL]), binintersectSubset4]), setminusERneg]), setminusSubset2]), setminusER]), setminusEL]), setminusI]), bs114d]), cartprodsndpairEq]), c_0_336]), funcinfuncset]), ap2p]), symdiffI2]), symdiffI1]), symdiffE]), setminusSubset1]), setminusLsub]), setminusIRneg]), setminusILneg]), symdiffIneg1]), singletonsubset]), kpairp]), kpairiskpair]), setukpairIR]), setukpairIL]), secondinupair]), symdiffIneg2]), singletoninpowerset]), ubforcartprodlem3]), ubforcartprodlem2]), ubforcartprodlem1]), upairinpowunion]), upairsubunion]), upairset2E]), singletoninpowunion]), cartprodpairin]), c_0_337]), setunionsingleton]), setunionsingleton2]), setunionsingleton1]), setunionE2]), cartprodmempair]), cartprodmempair1]), c_0_338]), kfstpairEq]), theprop]), c_0_339]), setukpairinjL1]), singletonsuniq]), c_0_340]), c_0_341]), cartprodfstin]), setukpairinjR2]), upairequniteq]), setukpairinjR1]), setukpairinjR12]), setukpairinjR11]), setukpairinjL]), setukpairinjL2]), setukpairinjR]), cartprodmempaircEq]), cartprodpairmemER]), cartprodpairmemEL]), cartprodsndin]), kpairsurjEq]), ksndpairEq]), c_0_342]), cartprodfstpairEq]), c_0_343]), c_0_344]), c_0_345]), c_0_346]), c_0_347]), cartprodpairsurjEq]), infuncsetfunc]), app]), c_0_348]), c_0_349]), c_0_350]), c_0_351]), funcGraphProp3]), funcGraphProp1]), c_0_352]), brelnall2]), brelnall1]), c_0_353]), c_0_354]), funcGraphProp2]), ap2apEq1]), funcext2]), funcext]), eqbreln]), subbreln]), funcGraphProp4]), funcextLem]), ap2apEq2]), c_0_355]), c_0_356]), c_0_357]), c_0_358]), c_0_359]), c_0_360]), c_0_361]), c_0_362]), iftrueorfalse]), iffalse]), iftrue]), theeq]), ifp]), c_0_363]), c_0_364]), binintersectT_lem]), powersetTI1]), subsetTI]), setextT]), complementT_lem]), setminusT_lem]), powersetT_lem]), binunionT_lem]), powersetTE1]), contrasubsetT2]), contrasubsetT1]), contrasubsetT]), binintersectTERcontra]), binintersectTELcontra]), complementTE1]), complementTI1]), contrasubsetT3]), complementImpComplementIntersect]), complementTnotintersectT]), doubleComplementEq]), doubleComplementSub2]), doubleComplementSub1]), doubleComplementE1]), doubleComplementI1]), complementSubsetComplementIntersect]), inIntersectImpInUnion2]), inIntersectImpInUnion]), binunionTIRcontra]), binunionTILcontra]), complementTcontraSubset]), contraSubsetComplement]), complementInPowersetComplementIntersect]), intersectInPowersetIntersectUnions]), inComplementUnionImpNotIn1]), inComplementUnionImpInComplement1]), binunionTE]), inIntersectImpInIntersectUnions]), in__Cong]), inCongP]), c_0_365]), c_0_366]), c_0_367]), notdallE]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), c_0_368]), upairsetIR]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), notinsingleton]), uniqinunit]), c_0_369]), c_0_370]), subPowSU]), setunionE]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), c_0_371]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), c_0_372]), c_0_373]), c_0_374]), c_0_375]), noeltsimpempty]), emptyI]), setext]), c_0_376]), notinemptyset]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_377]), c_0_378]), c_0_379]), c_0_380]), c_0_381]), wellorderingAx]), foundationAx]), c_0_382]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_383])).
% 182.89/31.05 thf(c_0_385, negated_conjecture, ![X2173:$i, X2174:$i, X2176:$i, X2177:$i, X2178:$i, X2179:$i, X2180:$i, X2181:$i, X2182:$i, X2183:$i, X2184:$i, X2186:$i, X2187:$i, X2189:$i, X2190:$i, X2191:$i, X2192:$i, X2193:$i, X2195:$i, X2196:$i > $i > $o, X2197:$i, X2200:$i, X2202:$i, X2203:$i, X2204:$i, X2205:$i, X2207:$i, X2208:$i > $o, X2209:$i, X2210:$i > $o, X2211:$i, X2212:$i, X2213:$i > $o, X2214:$i, X2215:$i, X2216:$i > $o, X2217:$i, X2218:$i > $o, X2220:$i, X2221:$o, X2222:$i, X2223:$i, X2224:$o, X2225:$i, X2226:$i, X2227:$i > $o, X2229:$i, X2230:$i, X2233:$i, X2235:$i, X2237:$i, X2238:$i > $o, X2239:$i, X2240:$i, X2242:$i, X2243:$i > $o, X2244:$i, X2245:$i, X2246:$i, X2247:$i, X2248:$i, X2249:$i, X2250:$i, X2251:$i, X2252:$i, X2253:$i, X2254:$i, X2255:$o, X2256:$i, X2257:$i, X2258:$i, X2259:$i, X2260:$i, X2261:$i, X2263:$i, X2264:$i, X2265:$i, X2266:$i, X2267:$i, X2268:$i, X2269:$i, X2270:$i, X2271:$i, X2272:$i, X2273:$o, X2275:$i, X2276:$i, X2277:$i > $o, X2279:$i, X2280:$i, X2281:$i, X2283:$i, X2284:$i, X2285:$i, X2286:$i, X2287:$i, X2288:$i, X2289:$i, X2290:$i, X2291:$i, X2292:$i, X2293:$i, X2294:$i, X2295:$i, X2296:$i, X2297:$i, X2298:$i, X2299:$i > $o, X2300:$i, X2301:$i > $o, X2302:$i, X2303:$i, X2304:$i > $o, X2305:$i, X2307:$i, X2308:$i > $o, X2310:$i, X2311:$i, X2312:$i > $o, X2314:$i, X2315:$i, X2316:$i > $o, X2317:$i, X2319:$o, X2320:$i, X2321:$i > $o, X2323:$i, X2324:$i, X2325:$i > $o, X2326:$i, X2328:$i > $o, X2329:$i, X2331:$i > $o, X2332:$i, X2335:$i > $o, X2336:$i, X2338:$i, X2339:$i, X2340:$i, X2341:$i, X2342:$i, X2343:$i, X2344:$i, X2345:$i, X2346:$i > $o, X2347:$i, X2348:$i, X2349:$i > $o, X2350:$i > $o, X2353:$i, X2354:$i, X2355:$i, X2356:$i, X2357:$i, X2358:$i, X2359:$i, X2360:$i, X2361:$i > $o, X2362:$i, X2363:$i, X2364:$i > $o, X2365:$i > $o, X2368:$i, X2369:$i, X2370:$i > $o, X2371:$i > $o, X2374:$i, X2375:$i, X2377:$i, X2378:$i, X2379:$i, X2380:$i, X2381:$i, X2382:$i, X2384:$i, X2385:$i, X2386:$i, X2387:$i, X2388:$i, X2389:$i, X2390:$i, X2391:$i, X2392:$i, X2393:$i, X2394:$i, X2395:$i, X2396:$i, X2397:$i, X2398:$i, X2399:$i, X2400:$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:$i, X2418:$i, X2419:$i, X2420:$i, X2421:$i > $o, X2422:$i, X2423:$i > $o, X2424:$i, X2425:$i, X2426:$i, X2427:$i, X2428:$i, X2429:$i, X2430:$i, X2431:$i, X2432:$i, X2433:$i, X2434:$i, X2435:$o, X2436:$i, X2437:$i, X2438:$i, X2439:$i, X2440:$i, X2441:$i, X2442:$i, X2443:$i, X2444:$i, X2445:$i, X2446:$i, X2447:$i, X2448:$i, X2449:$i, X2450:$i, X2451:$i, X2452:$i, X2453:$i, X2454:$i, X2455:$i, X2456:$i, X2457:$i, X2458:$i, X2459:$i, X2460:$i, X2461:$i, X2462:$i, X2464:$i, X2465:$i, X2466:$i, X2467:$i, X2468:$i, X2469:$i, X2470:$i, X2471:$i, X2472:$i, X2473:$i, X2474:$i, X2475:$i, X2476:$i, X2477:$i, X2478:$i, X2479:$i, X2480:$i, X2481:$i, X2482:$i, X2483:$i, X2484:$i, X2485:$i, X2486:$i, X2487:$i, X2488:$i, X2489:$i, X2490:$i, X2491:$i, X2492:$i, X2493:$i, X2494:$i, X2495:$i, X2496:$i, X2497:$i, X2498:$i, X2499:$i, X2500:$i, X2501:$i, X2502:$i, X2503:$o, X2504:$i, X2505:$i, X2506:$i, X2507:$i, X2508:$i, X2509:$i, X2510:$i, X2511:$i, X2512:$i, X2513:$i, X2514:$i, X2515:$i, X2516:$i, X2517:$i, X2518:$i, X2519:$i, X2520:$i, X2521:$i, X2522:$i, X2523:$i, X2524:$i, X2525:$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:$i, X2565:$i, X2566:$i, X2567:$i, X2568:$i, X2569:$i, X2571:$i, X2572:$i, X2573:$i, X2574:$i, X2575:$i > $o, X2578:$i, X2579:$i, X2580:$i > $o, X2582:$i, X2583:$i > $o, X2584:$i, X2586:$i, X2587:$i > $o, X2590:$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:$i, X2604:$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:$i, X2644:$i, 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 > $i > $o, X2663:$i, X2664:$i, X2665:$i, X2666:$i, X2667:$i > $i > $o, X2668:$i, X2669:$i, X2670:$i > $i > $o, X2671:$i, X2672:$i, X2673:$i > $i > $o, X2674:$i, X2675:$i, X2676:$i, X2677:$i, X2678:$i > $i > $o, X2679:$i, X2680:$i, X2681:$i, X2682:$i, X2683:$i > $i > $o, X2684:$i, X2685:$i, X2686:$i, X2687:$i, X2688:$i > $i > $o, X2689:$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, X2704:$i, X2705:$i, X2706:$i, X2707:$i, X2708:$i, X2709:$i, X2710:$i, X2711:$i, X2712:$i, X2713:$i, X2714:$i, X2715:$i > $i, X2717:$i, X2718:$i, X2719:$i > $i, X2721:$i, X2722:$i, X2723:$i > $i, X2725:$i, X2726:$i, X2727:$i, X2728:$i > $o, X2731:$i, X2732:$i, X2733:$i, X2734:$i, X2735:$i > $o, X2738:$i, X2739:$i, X2740:$i > $o, X2741:$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, X2761:$i, X2762:$i, X2763:$i, X2764:$i, X2765:$i, X2766:$i, X2767:$i, X2768:$i, X2769:$i, X2770:$i, X2771:$i, X2774:$i, X2775:$i, X2776:$i, X2777:$i, X2782:$i, X2783:$i, X2784:$i, X2785:$i, X2787:$i, X2788:$i, X2789:$i, X2790:$i, X2792:$i, X2793:$i, X2794:$i, X2795:$i, X2796:$i, X2797:$i, X2798:$i, X2799:$i, X2800:$i, X2801:$i, X2802:$i > $i, X2804:$i, X2805:$i, X2806:$i, X2807:$i, X2808:$i, X2809:$i, X2810:$i > $i, X2812:$i, X2813:$i, X2814:$i > $i, X2816:$i, X2817:$i, X2818:$i, X2819:$i, X2820:$i, X2821:$o, X2822:$i, X2823:$i, X2824:$i, X2825:$o, X2826:$i, X2827:$i, X2828:$i, X2829:$o, X2830:$i, X2831:$i, X2832:$i, X2833:$o, X2834:$i, X2835:$i, X2836:$i, X2837:$o, X2838:$i, X2839:$i, X2840:$i, X2841:$o, X2842:$i, X2843:$i, X2844:$i, X2845:$i, X2846:$i, X2847:$o, X2848:$i, X2849:$i, X2850:$i, X2851:$o, X2852:$i, X2853:$i, X2854:$i, X2855:$o, X2856:$i, X2857:$i, X2858:$i, X2859:$i, X2860:$i, X2861:$i, X2862:$i, X2863:$i, X2864:$i, X2865:$i, X2866:$i, X2867:$i, X2868:$i, X2869:$i, X2870:$i, X2871:$i, X2872:$i, X2873:$i, X2876:$i, X2877:$i, X2878:$i, X2880:$i, X2881:$i, X2882:$i, X2884:$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, X2901:$i, X2902:$i, X2903:$i, X2904:$i, X2905:$i, X2906:$i, X2907:$i, X2908:$i, X2909:$i, X2910:$i, X2911:$i, X2912:$i, X2913:$i, X2914:$i, X2915:$i, X2916:$i, X2917:$i, X2918:$i, X2919:$i, X2920:$i, X2921:$i, X2922:$i, X2923:$i, X2924:$i, X2925:$i, X2926:$i, X2927:$i, X2928:$i, X2929:$i, X2930:$i, X2931:$i, X2932:$i, X2933:$i, X2934:$i, X2935:$i, X2936:$i, X2937:$i, X2938:$i, X2939:$i, X2940:$i, X2941:$i, X2942:$i, X2943:$i, X2944:$i, X2945:$i, X2946:$i, X2947:$i, X2948:$i, X2949:$i, X2950:$i, X2951:$i, X2952:$i, X2953:$i, X2954:$i, X2955:$i, X2956:$i, X2957:$i, X2958:$i, X2959:$i, X2960:$i, X2961:$i, X2962:$i, X2963:$i, X2964:$i, X2965:$i, X2966:$i, X2967:$i, X2968:$i, X2969:$i, X2970:$i, X2971:$i, X2972:$i, X2973:$i, X2974:$i, X2975:$i, X2976:$i, X2977:$i, X2978:$i, X2979:$i, X2980:$i, X2981:$i, X2982:$i, X2983:$i, X2984:$i, X2985:$i, X2986:$i, X2987:$o, X2988:$i, X2989:$i, X2990:$i, X2991:$i, X2992:$i, X2993:$i, X2994:$i, X2995:$i, X2996:$i, 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, X3015:$i, X3016:$i, X3017:$i, X3018:$i, X3019:$i, X3020:$i, X3021:$i, X3022:$i, X3023:$i, X3024:$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 > $o, X3074:$i, X3075:$i, X3076:$i, X3077:$i, X3078:$i > $i > $o, X3079:$i, X3080:$i, X3081:$i > $o, X3084:$i, X3085:$i, X3086:$i, X3087:$i, X3090:$i, X3091:$i, X3092:$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, X3122:$i, X3123:$i, X3124:$i, X3125:$i, X3126:$i, X3127:$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:$o, X3158:$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 > $i, X3177:$i, X3179:$i, X3180:$i, X3181:$i, X3182:$i > $i, X3183:$i, X3184:$i > $i, X3185:$i, X3187:$i, X3188:$i > $i, X3189:$i, X3190:$i, X3191:$i, X3192:$i > $i, X3193:$i, X3195:$i, X3196:$i > $i, X3197:$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:$i, X3213:$i, X3214:$i, X3215:$i, X3216:$i > $i, X3218:$i, X3220:$i, X3221:$i, X3223:$i]:((((~(in @ (esk1_2 @ X2173 @ X2174) @ X2173)|~(in @ (esk1_2 @ X2173 @ X2174) @ X2174)|((X2173)=(X2174)))&((in @ (esk1_2 @ X2173 @ X2174) @ X2173)|(in @ (esk1_2 @ X2173 @ X2174) @ X2174)|((X2173)=(X2174))))&(~(in @ X2176 @ emptyset)&(((~(in @ X2179 @ (setadjoin @ X2177 @ X2178))|(((X2179)=(X2177))|(in @ X2179 @ X2178)))&((((X2179)!=(X2177))|(in @ X2179 @ (setadjoin @ X2177 @ X2178)))&(~(in @ X2179 @ X2178)|(in @ X2179 @ (setadjoin @ X2177 @ X2178)))))&(((~(in @ X2181 @ (powerset @ X2180))|(~(in @ X2182 @ X2181)|(in @ X2182 @ X2180)))&(((in @ (esk2_2 @ X2183 @ X2184) @ X2184)|(in @ X2184 @ (powerset @ X2183)))&(~(in @ (esk2_2 @ X2183 @ X2184) @ X2183)|(in @ X2184 @ (powerset @ X2183)))))&(((((in @ X2187 @ (esk3_2 @ X2186 @ X2187))|~(in @ X2187 @ (setunion @ X2186)))&((in @ (esk3_2 @ X2186 @ X2187) @ X2186)|~(in @ X2187 @ (setunion @ X2186))))&(~(in @ X2190 @ X2191)|~(in @ X2191 @ X2189)|(in @ X2190 @ (setunion @ X2189))))&((in @ emptyset @ omega)&((~(in @ X2192 @ omega)|(in @ (setadjoin @ X2192 @ X2192) @ omega))&(((((in @ (esk4_1 @ X2193) @ omega)|~(in @ emptyset @ X2193)|(~(in @ X2195 @ omega)|(in @ X2195 @ X2193)))&((in @ (esk4_1 @ X2193) @ X2193)|~(in @ emptyset @ X2193)|(~(in @ X2195 @ omega)|(in @ X2195 @ X2193))))&(~(in @ (setadjoin @ (esk4_1 @ X2193) @ (esk4_1 @ X2193)) @ X2193)|~(in @ emptyset @ X2193)|(~(in @ X2195 @ omega)|(in @ X2195 @ X2193))))&((((((in @ (esk7_3 @ X2196 @ X2197 @ X2200) @ X2197)|~(in @ X2200 @ (esk6_2 @ X2196 @ X2197))|(in @ (esk5_2 @ X2196 @ X2197) @ X2197))&((X2196 @ (esk7_3 @ X2196 @ X2197 @ X2200) @ X2200)|~(in @ X2200 @ (esk6_2 @ X2196 @ X2197))|(in @ (esk5_2 @ X2196 @ X2197) @ X2197)))&(~(in @ X2203 @ X2197)|~(X2196 @ X2203 @ X2202)|(in @ X2202 @ (esk6_2 @ X2196 @ X2197))|(in @ (esk5_2 @ X2196 @ X2197) @ X2197)))&((((in @ (esk7_3 @ X2196 @ X2197 @ X2200) @ X2197)|~(in @ X2200 @ (esk6_2 @ X2196 @ X2197))|~(exu @ (X2196 @ (esk5_2 @ X2196 @ X2197))))&((X2196 @ (esk7_3 @ X2196 @ X2197 @ X2200) @ X2200)|~(in @ X2200 @ (esk6_2 @ X2196 @ X2197))|~(exu @ (X2196 @ (esk5_2 @ X2196 @ X2197)))))&(~(in @ X2203 @ X2197)|~(X2196 @ X2203 @ X2202)|(in @ X2202 @ (esk6_2 @ X2196 @ X2197))|~(exu @ (X2196 @ (esk5_2 @ X2196 @ X2197))))))&((((in @ (esk8_1 @ X2204) @ X2204)|~(in @ X2205 @ X2204))&(~(in @ X2207 @ (esk8_1 @ X2204))|~(in @ X2207 @ X2204)|~(in @ X2205 @ X2204)))&((epred1_0)&((~(exu @ X2208)|(X2208 @ (descr @ X2208)))&((~(in @ X2211 @ X2209)|(~(X2210 @ X2211)|(in @ X2211 @ (dsetconstr @ X2209 @ X2210))))&((~(in @ X2214 @ (dsetconstr @ X2212 @ X2213))|(in @ X2214 @ X2212))&((~(in @ X2217 @ (dsetconstr @ X2215 @ X2216))|(X2216 @ X2217))&((((X2218 @ (esk9_1 @ X2218))|~(exu @ X2218))&(~(X2218 @ X2220)|((esk9_1 @ X2218)=(X2220))|~(exu @ X2218)))&((~(in @ X2222 @ (prop2set @ ((X2221))))|(X2221))&((~(in @ X2223 @ emptyset)|(X2224))&((~(in @ X2225 @ emptyset)|~($true))&(~(in @ X2226 @ emptyset)&((~(exu @ X2227)|(X2227 @ (esk10_1 @ X2227)))&(((((in @ (esk12_2 @ X2229 @ X2230) @ X2230)|((X2229)=(X2230))|(in @ (esk11_2 @ X2229 @ X2230) @ X2229))&(~(in @ (esk12_2 @ X2229 @ X2230) @ X2229)|((X2229)=(X2230))|(in @ (esk11_2 @ X2229 @ X2230) @ X2229)))&(((in @ (esk12_2 @ X2229 @ X2230) @ X2230)|((X2229)=(X2230))|~(in @ (esk11_2 @ X2229 @ X2230) @ X2230))&(~(in @ (esk12_2 @ X2229 @ X2230) @ X2229)|((X2229)=(X2230))|~(in @ (esk11_2 @ X2229 @ X2230) @ X2230))))&(((in @ (esk13_1 @ X2233) @ X2233)|((X2233)=(emptyset)))&(((in @ (esk14_1 @ X2235) @ X2235)|((X2235)=(emptyset)))&(((~(in @ X2239 @ (dsetconstr @ X2237 @ X2238))|(X2238 @ X2239)|~(in @ X2239 @ X2237))&(~(X2238 @ X2239)|(in @ X2239 @ (dsetconstr @ X2237 @ X2238))|~(in @ X2239 @ X2237)))&((((X2240)=(emptyset))|(in @ (esk15_1 @ X2240) @ X2240))&((~(in @ X2244 @ X2242)|(~(X2243 @ X2244)|((dsetconstr @ X2242 @ X2243)!=(emptyset))))&((~(in @ X2246 @ X2245)|((X2245)!=(emptyset)))&((in @ X2247 @ (setadjoin @ X2247 @ X2248))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X2251 @ X2250)|(in @ X2251 @ (setadjoin @ X2249 @ X2250)))&(((((in @ X2254 @ X2253)|(X2255)|((X2254)=(X2252))|~(in @ X2254 @ (setadjoin @ X2252 @ X2253)))&(~(X2255)|(X2255)|((X2254)=(X2252))|~(in @ X2254 @ (setadjoin @ X2252 @ X2253))))&(((in @ X2254 @ X2253)|(X2255)|~(X2255)|~(in @ X2254 @ (setadjoin @ X2252 @ X2253)))&(~(X2255)|(X2255)|~(X2255)|~(in @ X2254 @ (setadjoin @ X2252 @ X2253)))))&((~(in @ X2258 @ (setadjoin @ X2256 @ X2257))|(((X2258)=(X2256))|(in @ X2258 @ X2257)))&(((dsetconstr @ X2259 @ (^[Z0:$i]:($true)))=(X2259))&((((in @ (esk16_2 @ X2260 @ X2261) @ X2261)|(in @ X2261 @ (powerset @ X2260)))&(~(in @ (esk16_2 @ X2260 @ X2261) @ X2260)|(in @ X2261 @ (powerset @ X2260))))&((in @ emptyset @ (powerset @ X2263))&((in @ emptyset @ (powerset @ X2264))&((~(in @ X2266 @ (powerset @ X2265))|(~(in @ X2267 @ X2266)|(in @ X2267 @ X2265)))&((~(in @ X2269 @ X2270)|(~(in @ X2270 @ X2268)|(in @ X2269 @ (setunion @ X2268))))&((((in @ X2272 @ (esk17_3 @ X2271 @ X2272 @ X2273))|(X2273)|~(in @ X2272 @ (setunion @ X2271)))&(((in @ (esk17_3 @ X2271 @ X2272 @ X2273) @ X2271)|(X2273)|~(in @ X2272 @ (setunion @ X2271)))&(~(X2273)|(X2273)|~(in @ X2272 @ (setunion @ X2271)))))&((~(in @ X2276 @ X2275)|(in @ X2276 @ (powerset @ (setunion @ X2275))))&(((~(X2277 @ X2279)|((X2279)=(esk18_1 @ X2277))|~(exu @ X2277))&(((X2280)!=(esk18_1 @ X2277))|(X2277 @ X2280)|~(exu @ X2277)))&((((in @ (esk19_1 @ X2281) @ X2281)|((X2281)=(emptyset)))&(($true)|((X2281)=(emptyset))))&((~(in @ X2283 @ (setadjoin @ X2284 @ emptyset))|((X2283)=(X2284)))&((((X2285)=(X2286))|~(in @ X2286 @ (setadjoin @ X2285 @ emptyset)))&((((X2287)!=(X2288))|(in @ X2287 @ (setadjoin @ X2288 @ emptyset)))&((~(in @ X2289 @ (setadjoin @ X2290 @ emptyset))|(in @ X2290 @ (setadjoin @ X2289 @ emptyset)))&((~(in @ X2293 @ (setadjoin @ X2291 @ (setadjoin @ X2292 @ emptyset)))|(((X2293)=(X2291))|((X2293)=(X2292))))&((in @ X2294 @ (setadjoin @ X2294 @ (setadjoin @ X2295 @ emptyset)))&((in @ X2297 @ (setadjoin @ X2296 @ (setadjoin @ X2297 @ emptyset)))&((~(in @ X2300 @ X2298)|~(X2299 @ X2300)|(((dsetconstr @ X2298 @ X2299)!=(emptyset))|~($true)))&((~(in @ X2302 @ emptyset)|(X2301 @ X2302))&((((in @ (esk20_2 @ X2303 @ X2304) @ X2303)|(~(in @ X2305 @ X2303)|(X2304 @ X2305)))&(~(X2304 @ (esk20_2 @ X2303 @ X2304))|(~(in @ X2305 @ X2303)|(X2304 @ X2305))))&((((in @ (esk21_2 @ X2307 @ X2308) @ X2307)|(~(in @ X2310 @ X2307)|~(X2308 @ X2310)))&((X2308 @ (esk21_2 @ X2307 @ X2308))|(~(in @ X2310 @ X2307)|~(X2308 @ X2310))))&((((in @ (esk22_2 @ X2311 @ X2312) @ X2311)|(~(in @ X2314 @ X2311)|~(X2312 @ X2314)))&((X2312 @ (esk22_2 @ X2311 @ X2312))|(~(in @ X2314 @ X2311)|~(X2312 @ X2314))))&((((in @ (esk23_2 @ X2315 @ X2316) @ X2315)|(~(in @ X2317 @ X2315)|(X2316 @ X2317)))&(~(X2316 @ (esk23_2 @ X2315 @ X2316))|(~(in @ X2317 @ X2315)|(X2316 @ X2317))))&((~(X2319)|(in @ emptyset @ (prop2set @ ((X2319)))))&((prop2set2propI)&((((in @ (esk24_2 @ X2320 @ X2321) @ X2320)|(~(in @ X2323 @ X2320)|~(X2321 @ X2323)))&((X2321 @ (esk24_2 @ X2320 @ X2321))|(~(in @ X2323 @ X2320)|~(X2321 @ X2323))))&((((in @ (esk25_2 @ X2324 @ X2325) @ X2324)|(~(in @ X2326 @ X2324)|(X2325 @ X2326)))&(~(X2325 @ (esk25_2 @ X2324 @ X2325))|(~(in @ X2326 @ X2324)|(X2325 @ X2326))))&((((X2328 @ (esk26_2 @ X2328 @ X2329))|~(X2328 @ X2329)|(exu @ X2328))&(((X2329)!=(esk26_2 @ X2328 @ X2329))|~(X2328 @ X2329)|(exu @ X2328)))&((((X2331 @ (esk27_1 @ X2331))|(exu @ X2331)|~(X2331 @ X2332))&(((X2331 @ (esk28_1 @ X2331))|(exu @ X2331)|~(X2331 @ X2332))&(((esk27_1 @ X2331)!=(esk28_1 @ X2331))|(exu @ X2331)|~(X2331 @ X2332))))&(((~(X2335 @ (esk29_2 @ X2335 @ X2336))|((esk29_2 @ X2335 @ X2336)!=(X2336))|(exu @ X2335))&((X2335 @ (esk29_2 @ X2335 @ X2336))|((esk29_2 @ X2335 @ X2336)=(X2336))|(exu @ X2335)))&((((X2338)!=(X2339))|(((X2340)!=(X2341))|(~(in @ X2340 @ X2338)|(in @ X2341 @ X2339))))&(((~(in @ X2344 @ X2342)|(in @ X2345 @ X2343)|((X2344)!=(X2345))|((X2342)!=(X2343)))&(~(in @ X2345 @ X2343)|(in @ X2344 @ X2342)|((X2344)!=(X2345))|((X2342)!=(X2343))))&((~(exu @ X2346)|(~(X2346 @ X2347)|(~(X2346 @ X2348)|((X2347)=(X2348)))))&((((~(exu @ X2349)|(exu @ X2350)|((esk30_2 @ X2349 @ X2350)=(esk31_2 @ X2349 @ X2350)))&(~(exu @ X2350)|(exu @ X2349)|((esk30_2 @ X2349 @ X2350)=(esk31_2 @ X2349 @ X2350))))&(((~(exu @ X2349)|(exu @ X2350)|(~(X2349 @ (esk30_2 @ X2349 @ X2350))|~(X2350 @ (esk31_2 @ X2349 @ X2350))))&(~(exu @ X2350)|(exu @ X2349)|(~(X2349 @ (esk30_2 @ X2349 @ X2350))|~(X2350 @ (esk31_2 @ X2349 @ X2350)))))&((~(exu @ X2349)|(exu @ X2350)|((X2349 @ (esk30_2 @ X2349 @ X2350))|(X2350 @ (esk31_2 @ X2349 @ X2350))))&(~(exu @ X2350)|(exu @ X2349)|((X2349 @ (esk30_2 @ X2349 @ X2350))|(X2350 @ (esk31_2 @ X2349 @ X2350)))))))&(((emptyset)=(emptyset))&((((X2353)!=(X2354))|(((X2355)!=(X2356))|((setadjoin @ X2353 @ X2355)=(setadjoin @ X2354 @ X2356))))&((((X2357)!=(X2358))|((powerset @ X2357)=(powerset @ X2358)))&((((X2359)!=(X2360))|((setunion @ X2359)=(setunion @ X2360)))&(((omega)=(omega))&((~(exu @ X2361)|(~(X2361 @ X2362)|(~(X2361 @ X2363)|((X2362)=(X2363)))))&(((((esk32_2 @ X2364 @ X2365)=(esk33_2 @ X2364 @ X2365))|(~(exu @ X2364)|(~(exu @ X2365)|((descr @ X2364)=(descr @ X2365)))))&((~(X2364 @ (esk32_2 @ X2364 @ X2365))|~(X2365 @ (esk33_2 @ X2364 @ X2365))|(~(exu @ X2364)|(~(exu @ X2365)|((descr @ X2364)=(descr @ X2365)))))&((X2364 @ (esk32_2 @ X2364 @ X2365))|(X2365 @ (esk33_2 @ X2364 @ X2365))|(~(exu @ X2364)|(~(exu @ X2365)|((descr @ X2364)=(descr @ X2365)))))))&((((in @ (esk34_4 @ X2368 @ X2369 @ X2370 @ X2371) @ X2368)|((dsetconstr @ X2368 @ X2370)=(dsetconstr @ X2369 @ X2371))|((X2368)!=(X2369)))&(((in @ (esk35_4 @ X2368 @ X2369 @ X2370 @ X2371) @ X2369)|((dsetconstr @ X2368 @ X2370)=(dsetconstr @ X2369 @ X2371))|((X2368)!=(X2369)))&((((esk34_4 @ X2368 @ X2369 @ X2370 @ X2371)=(esk35_4 @ X2368 @ X2369 @ X2370 @ X2371))|((dsetconstr @ X2368 @ X2370)=(dsetconstr @ X2369 @ X2371))|((X2368)!=(X2369)))&((~(X2370 @ (esk34_4 @ X2368 @ X2369 @ X2370 @ X2371))|~(X2371 @ (esk35_4 @ X2368 @ X2369 @ X2370 @ X2371))|((dsetconstr @ X2368 @ X2370)=(dsetconstr @ X2369 @ X2371))|((X2368)!=(X2369)))&((X2370 @ (esk34_4 @ X2368 @ X2369 @ X2370 @ X2371))|(X2371 @ (esk35_4 @ X2368 @ X2369 @ X2370 @ X2371))|((dsetconstr @ X2368 @ X2370)=(dsetconstr @ X2369 @ X2371))|((X2368)!=(X2369)))))))&((((in @ (esk36_2 @ X2374 @ X2375) @ X2374)|(subset @ X2374 @ X2375))&(~(in @ (esk36_2 @ X2374 @ X2375) @ X2375)|(subset @ X2374 @ X2375)))&((((X2377)!=(X2378))|(subset @ X2378 @ X2377))&((((X2379)!=(X2380))|(subset @ X2379 @ X2380))&((((in @ (esk37_2 @ X2381 @ X2382) @ X2381)|(subset @ X2381 @ X2382))&(~(in @ (esk37_2 @ X2381 @ X2382) @ X2382)|(subset @ X2381 @ X2382)))&((subset @ emptyset @ X2384)&((~(subset @ X2385 @ X2386)|(~(in @ X2387 @ X2385)|(in @ X2387 @ X2386)))&((~(subset @ X2388 @ X2389)|((in @ X2390 @ X2389)|~(in @ X2390 @ X2388)))&((~(in @ X2393 @ X2391)|((in @ X2393 @ X2392)|~(subset @ X2391 @ X2392)))&(((subset @ X2394 @ X2395)|((X2394)!=(X2395)))&((~(in @ X2398 @ X2396)|((in @ X2398 @ X2397)|((X2396)!=(X2397))))&((subset @ X2399 @ X2399)&((~(subset @ X2400 @ X2401)|(~(subset @ X2401 @ X2402)|(subset @ X2400 @ X2402)))&((subset @ X2404 @ (setadjoin @ X2403 @ X2404))&((~(subset @ X2405 @ X2407)|(subset @ X2405 @ (setadjoin @ X2406 @ X2407)))&((~(subset @ X2408 @ X2409)|(in @ X2408 @ (powerset @ X2409)))&((~(subset @ X2410 @ X2411)|(~(subset @ X2411 @ X2410)|((X2410)=(X2411))))&((~(subset @ X2412 @ emptyset)|((X2412)=(emptyset)))&((~(subset @ X2414 @ X2413)|(in @ X2414 @ (powerset @ X2413)))&((~(in @ X2416 @ (powerset @ X2415))|(subset @ X2416 @ X2415))&((in @ X2417 @ (powerset @ X2417))&((~(subset @ X2418 @ X2419)|(subset @ (powerset @ X2418) @ (powerset @ X2419)))&((in @ (dsetconstr @ X2420 @ X2421) @ (powerset @ X2420))&((subset @ (dsetconstr @ X2422 @ X2423) @ X2422)&((~(in @ X2426 @ X2424)|(in @ X2426 @ (binunion @ X2424 @ X2425)))&((in @ X2428 @ (setadjoin @ X2427 @ (setadjoin @ X2428 @ emptyset)))&((~(in @ X2431 @ X2430)|(in @ X2431 @ (binunion @ X2429 @ X2430)))&(((((in @ X2434 @ X2433)|(X2435)|(in @ X2434 @ X2432)|~(in @ X2434 @ (binunion @ X2432 @ X2433)))&(~(X2435)|(X2435)|(in @ X2434 @ X2432)|~(in @ X2434 @ (binunion @ X2432 @ X2433))))&(((in @ X2434 @ X2433)|(X2435)|~(X2435)|~(in @ X2434 @ (binunion @ X2432 @ X2433)))&(~(X2435)|(X2435)|~(X2435)|~(in @ X2434 @ (binunion @ X2432 @ X2433)))))&((~(in @ X2438 @ (binunion @ X2436 @ X2437))|((in @ X2438 @ X2436)|(in @ X2438 @ X2437)))&((subset @ X2439 @ (binunion @ X2439 @ X2440))&((subset @ X2442 @ (binunion @ X2441 @ X2442))&((~(in @ X2445 @ X2443)|(~(in @ X2445 @ X2444)|(in @ X2445 @ (binintersect @ X2443 @ X2444))))&((~(subset @ X2448 @ X2446)|(~(subset @ X2448 @ X2447)|(subset @ X2448 @ (binintersect @ X2446 @ X2447))))&((~(in @ X2451 @ (binintersect @ X2449 @ X2450))|(in @ X2451 @ X2449))&((subset @ (binintersect @ X2452 @ X2453) @ X2452)&((~(subset @ X2454 @ X2455)|((binintersect @ X2454 @ X2455)=(X2454)))&((((binintersect @ X2456 @ X2457)!=(X2457))|(subset @ X2457 @ X2456))&((~(in @ X2460 @ (binintersect @ X2458 @ X2459))|(in @ X2460 @ X2459))&((((in @ (esk38_2 @ X2461 @ X2462) @ X2461)|((binintersect @ X2461 @ X2462)=(emptyset)))&((in @ (esk38_2 @ X2461 @ X2462) @ X2462)|((binintersect @ X2461 @ X2462)=(emptyset))))&((subset @ (binintersect @ X2464 @ X2465) @ X2465)&((~(subset @ X2467 @ X2466)|((binintersect @ X2466 @ X2467)=(X2467)))&((((binintersect @ X2468 @ X2469)!=(X2468))|(subset @ X2468 @ X2469))&(((binintersect @ X2470 @ (binunion @ X2471 @ X2472))=(binunion @ (binintersect @ X2470 @ X2471) @ (binintersect @ X2470 @ X2472)))&((~(in @ X2475 @ X2473)|((in @ X2475 @ X2474)|(in @ X2475 @ (setminus @ X2473 @ X2474))))&((~(in @ X2478 @ (setminus @ X2476 @ X2477))|(in @ X2478 @ X2476))&((~(in @ X2481 @ (setminus @ X2479 @ X2480))|~(in @ X2481 @ X2480))&((~(subset @ X2482 @ X2483)|((setminus @ X2482 @ X2483)=(emptyset)))&(((in @ X2486 @ (setminus @ X2484 @ X2485))|(~(in @ X2486 @ X2484)|(in @ X2486 @ X2485)))&(((in @ X2489 @ (setminus @ X2487 @ X2488))|((in @ X2489 @ X2488)|~(in @ X2489 @ X2487)))&(((in @ X2492 @ X2490)|~(in @ X2492 @ (setminus @ X2490 @ X2491)))&((~(in @ X2495 @ X2494)|~(in @ X2495 @ (setminus @ X2493 @ X2494)))&((subset @ (setminus @ X2496 @ X2497) @ X2496)&((((setminus @ X2498 @ X2499)!=(emptyset))|(subset @ X2498 @ X2499))&((((~(in @ X2502 @ X2500)|(X2503)|(in @ X2502 @ X2500)|~(in @ X2502 @ (symdiff @ X2500 @ X2501)))&(((in @ X2502 @ X2501)|(X2503)|(in @ X2502 @ X2500)|~(in @ X2502 @ (symdiff @ X2500 @ X2501)))&(~(X2503)|(X2503)|(in @ X2502 @ X2500)|~(in @ X2502 @ (symdiff @ X2500 @ X2501)))))&(((~(in @ X2502 @ X2500)|(X2503)|~(in @ X2502 @ X2501)|~(in @ X2502 @ (symdiff @ X2500 @ X2501)))&(((in @ X2502 @ X2501)|(X2503)|~(in @ X2502 @ X2501)|~(in @ X2502 @ (symdiff @ X2500 @ X2501)))&(~(X2503)|(X2503)|~(in @ X2502 @ X2501)|~(in @ X2502 @ (symdiff @ X2500 @ X2501)))))&((~(in @ X2502 @ X2500)|(X2503)|~(X2503)|~(in @ X2502 @ (symdiff @ X2500 @ X2501)))&(((in @ X2502 @ X2501)|(X2503)|~(X2503)|~(in @ X2502 @ (symdiff @ X2500 @ X2501)))&(~(X2503)|(X2503)|~(X2503)|~(in @ X2502 @ (symdiff @ X2500 @ X2501)))))))&((~(in @ X2506 @ X2504)|((in @ X2506 @ X2505)|(in @ X2506 @ (symdiff @ X2504 @ X2505))))&(((in @ X2509 @ X2507)|(~(in @ X2509 @ X2508)|(in @ X2509 @ (symdiff @ X2507 @ X2508))))&((~(in @ X2512 @ X2510)|(~(in @ X2512 @ X2511)|~(in @ X2512 @ (symdiff @ X2510 @ X2511))))&(((in @ X2515 @ X2513)|((in @ X2515 @ X2514)|~(in @ X2515 @ (symdiff @ X2513 @ X2514))))&((in @ X2517 @ (setadjoin @ X2516 @ (setadjoin @ X2517 @ emptyset)))&((in @ X2518 @ (setunion @ (setadjoin @ (setadjoin @ X2518 @ emptyset) @ (setadjoin @ (setadjoin @ X2518 @ (setadjoin @ X2519 @ emptyset)) @ emptyset))))&((in @ X2521 @ (setunion @ (setadjoin @ (setadjoin @ X2520 @ emptyset) @ (setadjoin @ (setadjoin @ X2520 @ (setadjoin @ X2521 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X2522 @ emptyset) @ (setadjoin @ (setadjoin @ X2522 @ (setadjoin @ X2523 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X2524 @ X2525))&((~(in @ X2527 @ X2526)|(subset @ (setadjoin @ X2527 @ emptyset) @ X2526))&((~(in @ X2529 @ X2528)|(in @ (setadjoin @ X2529 @ emptyset) @ (powerset @ X2528)))&((~(in @ X2532 @ X2530)|(in @ (setadjoin @ X2532 @ emptyset) @ (powerset @ (binunion @ X2530 @ X2531))))&((~(in @ X2535 @ (setadjoin @ X2533 @ (setadjoin @ X2534 @ emptyset)))|(((X2535)=(X2533))|((X2535)=(X2534))))&((~(in @ X2538 @ X2536)|(~(in @ X2539 @ X2537)|(subset @ (setadjoin @ X2538 @ (setadjoin @ X2539 @ emptyset)) @ (binunion @ X2536 @ X2537))))&((~(in @ X2542 @ X2540)|(~(in @ X2543 @ X2541)|(in @ (setadjoin @ X2542 @ (setadjoin @ X2543 @ emptyset)) @ (powerset @ (binunion @ X2540 @ X2541)))))&((~(in @ X2546 @ X2544)|(~(in @ X2547 @ X2545)|(subset @ (setadjoin @ (setadjoin @ X2546 @ emptyset) @ (setadjoin @ (setadjoin @ X2546 @ (setadjoin @ X2547 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X2544 @ X2545)))))&((~(in @ X2550 @ X2548)|(~(in @ X2551 @ X2549)|(in @ (setadjoin @ (setadjoin @ X2550 @ emptyset) @ (setadjoin @ (setadjoin @ X2550 @ (setadjoin @ X2551 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X2548 @ X2549))))))&((~(in @ X2554 @ X2552)|(~(in @ X2555 @ X2553)|(in @ (kpair @ X2554 @ X2555) @ (powerset @ (powerset @ (binunion @ X2552 @ X2553))))))&((~(in @ X2558 @ X2556)|(~(in @ X2559 @ X2557)|(in @ (kpair @ X2558 @ X2559) @ (cartprod @ X2556 @ X2557))))&((((in @ (esk39_3 @ X2560 @ X2561 @ X2562) @ X2560)|~(in @ X2562 @ (cartprod @ X2560 @ X2561)))&(((in @ (esk40_3 @ X2560 @ X2561 @ X2562) @ X2561)|~(in @ X2562 @ (cartprod @ X2560 @ X2561)))&(((X2562)=(kpair @ (esk39_3 @ X2560 @ X2561 @ X2562) @ (esk40_3 @ X2560 @ X2561 @ X2562)))|~(in @ X2562 @ (cartprod @ X2560 @ X2561)))))&((~(in @ X2567 @ (cartprod @ X2565 @ X2566))|(iskpair @ X2567))&((((in @ (esk41_2 @ X2568 @ X2569) @ X2568)|~(in @ X2569 @ (setunion @ X2568)))&((in @ X2569 @ (esk41_2 @ X2568 @ X2569))|~(in @ X2569 @ (setunion @ X2568))))&((subset @ (setunion @ (setadjoin @ X2571 @ emptyset)) @ X2571)&((subset @ X2572 @ (setunion @ (setadjoin @ X2572 @ emptyset)))&(((setunion @ (setadjoin @ X2573 @ emptyset))=(X2573))&((((in @ (esk42_2 @ X2574 @ X2575) @ X2574)|(~(in @ X2578 @ X2574)|~(X2575 @ X2578)|(singleton @ (dsetconstr @ X2574 @ X2575))))&(((in @ (esk43_2 @ X2574 @ X2575) @ X2574)|(~(in @ X2578 @ X2574)|~(X2575 @ X2578)|(singleton @ (dsetconstr @ X2574 @ X2575))))&(((X2575 @ (esk42_2 @ X2574 @ X2575))|(~(in @ X2578 @ X2574)|~(X2575 @ X2578)|(singleton @ (dsetconstr @ X2574 @ X2575))))&(((X2575 @ (esk43_2 @ X2574 @ X2575))|(~(in @ X2578 @ X2574)|~(X2575 @ X2578)|(singleton @ (dsetconstr @ X2574 @ X2575))))&(((esk42_2 @ X2574 @ X2575)!=(esk43_2 @ X2574 @ X2575))|(~(in @ X2578 @ X2574)|~(X2575 @ X2578)|(singleton @ (dsetconstr @ X2574 @ X2575))))))))&((((in @ (esk44_2 @ X2579 @ X2580) @ X2579)|~(ex1 @ X2579 @ X2580))&((X2580 @ (esk44_2 @ X2579 @ X2580))|~(ex1 @ X2579 @ X2580)))&((((in @ (esk45_3 @ X2582 @ X2583 @ X2584) @ X2582)|(ex1 @ X2582 @ X2583)|~(X2583 @ X2584)|~(in @ X2584 @ X2582))&(((X2583 @ (esk45_3 @ X2582 @ X2583 @ X2584))|(ex1 @ X2582 @ X2583)|~(X2583 @ X2584)|~(in @ X2584 @ X2582))&(((esk45_3 @ X2582 @ X2583 @ X2584)!=(X2584))|(ex1 @ X2582 @ X2583)|~(X2583 @ X2584)|~(in @ X2584 @ X2582))))&((((in @ (esk46_2 @ X2586 @ X2587) @ X2586)|(~(in @ X2590 @ X2586)|~(X2587 @ X2590)|(ex1 @ X2586 @ X2587)))&(((in @ (esk47_2 @ X2586 @ X2587) @ X2586)|(~(in @ X2590 @ X2586)|~(X2587 @ X2590)|(ex1 @ X2586 @ X2587)))&(((X2587 @ (esk46_2 @ X2586 @ X2587))|(~(in @ X2590 @ X2586)|~(X2587 @ X2590)|(ex1 @ X2586 @ X2587)))&(((X2587 @ (esk47_2 @ X2586 @ X2587))|(~(in @ X2590 @ X2586)|~(X2587 @ X2590)|(ex1 @ X2586 @ X2587)))&(((esk46_2 @ X2586 @ X2587)!=(esk47_2 @ X2586 @ X2587))|(~(in @ X2590 @ X2586)|~(X2587 @ X2590)|(ex1 @ X2586 @ X2587)))))))&((((setadjoin @ X2591 @ emptyset)!=(setadjoin @ X2592 @ emptyset))|((X2591)=(X2592)))&((~(in @ (setadjoin @ X2595 @ emptyset) @ (setadjoin @ (setadjoin @ X2593 @ emptyset) @ (setadjoin @ (setadjoin @ X2593 @ (setadjoin @ X2594 @ emptyset)) @ emptyset)))|((X2593)=(X2595)))&((~(iskpair @ X2596)|(singleton @ (dsetconstr @ (setunion @ X2596) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X2596))))))&((~(singleton @ X2597)|(in @ (setunion @ X2597) @ X2597))&(((kfst @ (kpair @ X2598 @ X2599))=(X2598))&((~(in @ X2602 @ (cartprod @ X2600 @ X2601))|(in @ (kfst @ X2602) @ X2600))&((((setadjoin @ (setadjoin @ X2603 @ emptyset) @ (setadjoin @ (setadjoin @ X2603 @ (setadjoin @ X2604 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2605 @ emptyset) @ (setadjoin @ (setadjoin @ X2605 @ (setadjoin @ X2606 @ emptyset)) @ emptyset)))|((X2603)=(X2605)))&((((kpair @ X2607 @ X2608)!=(kpair @ X2609 @ X2610))|((X2607)=(X2609)))&((((X2611)!=(X2612))|((setadjoin @ X2611 @ (setadjoin @ X2612 @ emptyset))=(setadjoin @ X2611 @ emptyset)))&((((X2613)!=(X2614))|((setadjoin @ (setadjoin @ X2613 @ emptyset) @ (setadjoin @ (setadjoin @ X2613 @ (setadjoin @ X2614 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2613 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X2615 @ emptyset) @ (setadjoin @ (setadjoin @ X2615 @ (setadjoin @ X2616 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2617 @ emptyset) @ (setadjoin @ (setadjoin @ X2617 @ (setadjoin @ X2618 @ emptyset)) @ emptyset)))|(((X2617)!=(X2618))|((X2616)=(X2618))))&((((setadjoin @ X2619 @ (setadjoin @ X2620 @ emptyset))!=(setadjoin @ X2621 @ emptyset))|((X2619)=(X2620)))&((((setadjoin @ (setadjoin @ X2622 @ emptyset) @ (setadjoin @ (setadjoin @ X2622 @ (setadjoin @ X2623 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2624 @ emptyset) @ (setadjoin @ (setadjoin @ X2624 @ (setadjoin @ X2625 @ emptyset)) @ emptyset)))|((X2623)=(X2625)))&((((kpair @ X2626 @ X2627)!=(kpair @ X2628 @ X2629))|((X2627)=(X2629)))&((~(iskpair @ X2630)|(singleton @ (dsetconstr @ (setunion @ X2630) @ (^[Z0:$i]:(((X2630)=(kpair @ (kfst @ X2630) @ Z0)))))))&(((ksnd @ (kpair @ X2631 @ X2632))=(X2632))&((~(iskpair @ X2633)|((kpair @ (kfst @ X2633) @ (ksnd @ X2633))=(X2633)))&((~(in @ X2636 @ (cartprod @ X2634 @ X2635))|(in @ (ksnd @ X2636) @ X2635))&((~(in @ (kpair @ X2639 @ X2640) @ (cartprod @ X2637 @ X2638))|(in @ X2639 @ X2637))&((~(in @ (kpair @ X2643 @ X2644) @ (cartprod @ X2641 @ X2642))|(in @ X2644 @ X2642))&((~(in @ X2647 @ X2645)|(~(in @ X2648 @ X2646)|((kpair @ X2647 @ X2648)=(kpair @ X2647 @ X2648))))&((~(in @ X2651 @ X2649)|(~(in @ X2652 @ X2650)|((kfst @ (kpair @ X2651 @ X2652))=(X2651))))&((~(in @ X2655 @ X2653)|(~(in @ X2656 @ X2654)|((ksnd @ (kpair @ X2655 @ X2656))=(X2656))))&((~(in @ X2659 @ (cartprod @ X2657 @ X2658))|((kpair @ (kfst @ X2659) @ (ksnd @ X2659))=(X2659)))&((~(in @ X2663 @ X2660)|(~(in @ X2664 @ X2661)|(~(X2662 @ X2663 @ X2664)|(in @ (kpair @ X2663 @ X2664) @ (dpsetconstr @ X2660 @ X2661 @ X2662)))))&((subset @ (dpsetconstr @ X2665 @ X2666 @ X2667) @ (cartprod @ X2665 @ X2666))&((breln @ X2668 @ X2669 @ (dpsetconstr @ X2668 @ X2669 @ X2670))&((~(in @ X2674 @ X2671)|(~(in @ X2675 @ X2672)|(~(in @ (kpair @ X2674 @ X2675) @ (dpsetconstr @ X2671 @ X2672 @ X2673))|(X2673 @ X2674 @ X2675))))&((~(in @ (kpair @ X2679 @ X2680) @ (dpsetconstr @ X2676 @ X2677 @ X2678))|(in @ X2679 @ X2676))&((~(in @ (kpair @ X2684 @ X2685) @ (dpsetconstr @ X2681 @ X2682 @ X2683))|(in @ X2685 @ X2682))&((~(in @ (kpair @ X2689 @ X2690) @ (dpsetconstr @ X2686 @ X2687 @ X2688))|(X2688 @ X2689 @ X2690))&((~(func @ X2691 @ X2692 @ X2693)|(~(in @ X2694 @ X2691)|(singleton @ (dsetconstr @ X2692 @ (^[Z0:$i]:((in @ (kpair @ X2694 @ Z0) @ X2693)))))))&((~(func @ X2695 @ X2696 @ X2697)|(~(in @ X2698 @ X2695)|(in @ (setunion @ (dsetconstr @ X2696 @ (^[Z0:$i]:((in @ (kpair @ X2698 @ Z0) @ X2697))))) @ X2696)))&((~(func @ X2699 @ X2700 @ X2701)|(~(in @ X2702 @ X2699)|(in @ (ap @ X2699 @ X2700 @ X2701 @ X2702) @ X2700)))&((~(in @ X2705 @ (funcSet @ X2703 @ X2704))|(func @ X2703 @ X2704 @ X2705))&((~(in @ X2708 @ (funcSet @ X2706 @ X2707))|(~(in @ X2709 @ X2706)|(in @ (ap @ X2706 @ X2707 @ X2708 @ X2709) @ X2707)))&((~(func @ X2710 @ X2711 @ X2712)|(in @ X2712 @ (funcSet @ X2710 @ X2711)))&((((in @ (esk48_3 @ X2713 @ X2714 @ X2715) @ X2713)|(func @ X2713 @ X2714 @ (dpsetconstr @ X2713 @ X2714 @ (^[Z0:$i]:($eq @ (X2715 @ Z0))))))&(~(in @ (X2715 @ (esk48_3 @ X2713 @ X2714 @ X2715)) @ X2714)|(func @ X2713 @ X2714 @ (dpsetconstr @ X2713 @ X2714 @ (^[Z0:$i]:($eq @ (X2715 @ Z0)))))))&((((in @ (esk49_3 @ X2717 @ X2718 @ X2719) @ X2717)|(func @ X2717 @ X2718 @ (lam @ X2717 @ X2718 @ X2719)))&(~(in @ (X2719 @ (esk49_3 @ X2717 @ X2718 @ X2719)) @ X2718)|(func @ X2717 @ X2718 @ (lam @ X2717 @ X2718 @ X2719))))&((((in @ (esk50_3 @ X2721 @ X2722 @ X2723) @ X2721)|(in @ (lam @ X2721 @ X2722 @ X2723) @ (funcSet @ X2721 @ X2722)))&(~(in @ (X2723 @ (esk50_3 @ X2721 @ X2722 @ X2723)) @ X2722)|(in @ (lam @ X2721 @ X2722 @ X2723) @ (funcSet @ X2721 @ X2722))))&((((in @ (esk51_4 @ X2725 @ X2726 @ X2727 @ X2728) @ X2725)|(~(in @ X2731 @ X2727)|(X2728 @ X2731))|~(breln @ X2725 @ X2726 @ X2727))&(((in @ (esk52_4 @ X2725 @ X2726 @ X2727 @ X2728) @ X2726)|(~(in @ X2731 @ X2727)|(X2728 @ X2731))|~(breln @ X2725 @ X2726 @ X2727))&(((in @ (kpair @ (esk51_4 @ X2725 @ X2726 @ X2727 @ X2728) @ (esk52_4 @ X2725 @ X2726 @ X2727 @ X2728)) @ X2727)|(~(in @ X2731 @ X2727)|(X2728 @ X2731))|~(breln @ X2725 @ X2726 @ X2727))&(~(X2728 @ (kpair @ (esk51_4 @ X2725 @ X2726 @ X2727 @ X2728) @ (esk52_4 @ X2725 @ X2726 @ X2727 @ X2728)))|(~(in @ X2731 @ X2727)|(X2728 @ X2731))|~(breln @ X2725 @ X2726 @ X2727)))))&((((in @ (esk53_4 @ X2732 @ X2733 @ X2734 @ X2735) @ X2732)|(~(in @ X2738 @ X2734)|(X2735 @ X2738))|~(breln @ X2732 @ X2733 @ X2734))&(((in @ (esk54_4 @ X2732 @ X2733 @ X2734 @ X2735) @ X2733)|(~(in @ X2738 @ X2734)|(X2735 @ X2738))|~(breln @ X2732 @ X2733 @ X2734))&(((in @ (kpair @ (esk53_4 @ X2732 @ X2733 @ X2734 @ X2735) @ (esk54_4 @ X2732 @ X2733 @ X2734 @ X2735)) @ X2734)|(~(in @ X2738 @ X2734)|(X2735 @ X2738))|~(breln @ X2732 @ X2733 @ X2734))&(~(X2735 @ (kpair @ (esk53_4 @ X2732 @ X2733 @ X2734 @ X2735) @ (esk54_4 @ X2732 @ X2733 @ X2734 @ X2735)))|(~(in @ X2738 @ X2734)|(X2735 @ X2738))|~(breln @ X2732 @ X2733 @ X2734)))))&((~(ex1 @ X2739 @ X2740)|(~(in @ X2741 @ X2739)|(~(in @ X2742 @ X2739)|(~(X2740 @ X2741)|(~(X2740 @ X2742)|((X2741)=(X2742)))))))&((~(func @ X2743 @ X2744 @ X2745)|(~(in @ X2746 @ X2743)|(in @ (kpair @ X2746 @ (ap @ X2743 @ X2744 @ X2745 @ X2746)) @ X2745)))&((~(in @ X2749 @ (funcSet @ X2747 @ X2748))|(~(in @ X2750 @ X2747)|(in @ (kpair @ X2750 @ (ap @ X2747 @ X2748 @ X2749 @ X2750)) @ X2749)))&((~(func @ X2751 @ X2752 @ X2753)|(~(in @ X2754 @ X2751)|(~(in @ X2755 @ X2752)|(~(in @ (kpair @ X2754 @ X2755) @ X2753)|((ap @ X2751 @ X2752 @ X2753 @ X2754)=(X2755))))))&((((in @ (esk55_4 @ X2756 @ X2757 @ X2758 @ X2759) @ X2756)|(~(in @ X2761 @ X2756)|(~(in @ X2762 @ X2757)|(~(in @ (kpair @ X2761 @ X2762) @ X2759)|(in @ (kpair @ X2761 @ X2762) @ X2758))))|~(func @ X2756 @ X2757 @ X2759)|~(func @ X2756 @ X2757 @ X2758))&(((ap @ X2756 @ X2757 @ X2758 @ (esk55_4 @ X2756 @ X2757 @ X2758 @ X2759))!=(ap @ X2756 @ X2757 @ X2759 @ (esk55_4 @ X2756 @ X2757 @ X2758 @ X2759)))|(~(in @ X2761 @ X2756)|(~(in @ X2762 @ X2757)|(~(in @ (kpair @ X2761 @ X2762) @ X2759)|(in @ (kpair @ X2761 @ X2762) @ X2758))))|~(func @ X2756 @ X2757 @ X2759)|~(func @ X2756 @ X2757 @ X2758)))&((~(in @ X2765 @ (funcSet @ X2763 @ X2764))|(~(in @ X2766 @ X2763)|(~(in @ X2767 @ X2764)|(~(in @ (kpair @ X2766 @ X2767) @ X2765)|((ap @ X2763 @ X2764 @ X2765 @ X2766)=(X2767))))))&((((in @ (esk56_4 @ X2768 @ X2769 @ X2770 @ X2771) @ X2768)|(subset @ X2770 @ X2771)|~(breln @ X2768 @ X2769 @ X2771)|~(breln @ X2768 @ X2769 @ X2770))&(((in @ (esk57_4 @ X2768 @ X2769 @ X2770 @ X2771) @ X2769)|(subset @ X2770 @ X2771)|~(breln @ X2768 @ X2769 @ X2771)|~(breln @ X2768 @ X2769 @ X2770))&(((in @ (kpair @ (esk56_4 @ X2768 @ X2769 @ X2770 @ X2771) @ (esk57_4 @ X2768 @ X2769 @ X2770 @ X2771)) @ X2770)|(subset @ X2770 @ X2771)|~(breln @ X2768 @ X2769 @ X2771)|~(breln @ X2768 @ X2769 @ X2770))&(~(in @ (kpair @ (esk56_4 @ X2768 @ X2769 @ X2770 @ X2771) @ (esk57_4 @ X2768 @ X2769 @ X2770 @ X2771)) @ X2771)|(subset @ X2770 @ X2771)|~(breln @ X2768 @ X2769 @ X2771)|~(breln @ X2768 @ X2769 @ X2770)))))&(((((in @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2774)|((X2776)=(X2777))|(in @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2774)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(((in @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2775)|((X2776)=(X2777))|(in @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2774)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(((in @ (kpair @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2777)|((X2776)=(X2777))|(in @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2774)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(~(in @ (kpair @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2776)|((X2776)=(X2777))|(in @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2774)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776)))))&((((in @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2774)|((X2776)=(X2777))|(in @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2775)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(((in @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2775)|((X2776)=(X2777))|(in @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2775)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(((in @ (kpair @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2777)|((X2776)=(X2777))|(in @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2775)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(~(in @ (kpair @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2776)|((X2776)=(X2777))|(in @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2775)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776)))))&((((in @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2774)|((X2776)=(X2777))|(in @ (kpair @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2776)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(((in @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2775)|((X2776)=(X2777))|(in @ (kpair @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2776)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(((in @ (kpair @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2777)|((X2776)=(X2777))|(in @ (kpair @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2776)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(~(in @ (kpair @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2776)|((X2776)=(X2777))|(in @ (kpair @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2776)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776)))))&(((in @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2774)|((X2776)=(X2777))|~(in @ (kpair @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2777)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(((in @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777) @ X2775)|((X2776)=(X2777))|~(in @ (kpair @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2777)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(((in @ (kpair @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2777)|((X2776)=(X2777))|~(in @ (kpair @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2777)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))&(~(in @ (kpair @ (esk60_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk61_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2776)|((X2776)=(X2777))|~(in @ (kpair @ (esk58_4 @ X2774 @ X2775 @ X2776 @ X2777) @ (esk59_4 @ X2774 @ X2775 @ X2776 @ X2777)) @ X2777)|~(breln @ X2774 @ X2775 @ X2777)|~(breln @ X2774 @ X2775 @ X2776))))))))&((((in @ (esk62_4 @ X2782 @ X2783 @ X2784 @ X2785) @ X2782)|((X2784)=(X2785))|~(func @ X2782 @ X2783 @ X2785)|~(func @ X2782 @ X2783 @ X2784))&(((ap @ X2782 @ X2783 @ X2784 @ (esk62_4 @ X2782 @ X2783 @ X2784 @ X2785))!=(ap @ X2782 @ X2783 @ X2785 @ (esk62_4 @ X2782 @ X2783 @ X2784 @ X2785)))|((X2784)=(X2785))|~(func @ X2782 @ X2783 @ X2785)|~(func @ X2782 @ X2783 @ X2784)))&((((in @ (esk63_4 @ X2787 @ X2788 @ X2789 @ X2790) @ X2787)|((X2789)=(X2790))|~(in @ X2790 @ (funcSet @ X2787 @ X2788))|~(in @ X2789 @ (funcSet @ X2787 @ X2788)))&(((ap @ X2787 @ X2788 @ X2789 @ (esk63_4 @ X2787 @ X2788 @ X2789 @ X2790))!=(ap @ X2787 @ X2788 @ X2790 @ (esk63_4 @ X2787 @ X2788 @ X2789 @ X2790)))|((X2789)=(X2790))|~(in @ X2790 @ (funcSet @ X2787 @ X2788))|~(in @ X2789 @ (funcSet @ X2787 @ X2788))))&((~(in @ X2794 @ (funcSet @ X2792 @ X2793))|(~(in @ X2795 @ X2792)|((ap @ X2792 @ X2793 @ X2794 @ X2795)=(ap @ X2792 @ X2793 @ X2794 @ X2795))))&((~(func @ X2796 @ X2797 @ X2798)|(~(in @ X2799 @ X2796)|((ap @ X2796 @ X2797 @ X2798 @ X2799)=(ap @ X2796 @ X2797 @ X2798 @ X2799))))&((((in @ (esk64_3 @ X2800 @ X2801 @ X2802) @ X2800)|(~(in @ X2804 @ X2800)|((ap @ X2800 @ X2801 @ (lam @ X2800 @ X2801 @ X2802) @ X2804)=(X2802 @ X2804))))&(~(in @ (X2802 @ (esk64_3 @ X2800 @ X2801 @ X2802)) @ X2801)|(~(in @ X2804 @ X2800)|((ap @ X2800 @ X2801 @ (lam @ X2800 @ X2801 @ X2802) @ X2804)=(X2802 @ X2804)))))&((~(func @ X2805 @ X2806 @ X2807)|((lam @ X2805 @ X2806 @ (ap @ X2805 @ X2806 @ X2807))=(X2807)))&((((in @ (esk65_3 @ X2808 @ X2809 @ X2810) @ X2808)|((lam @ X2808 @ X2809 @ X2810)=(lam @ X2808 @ X2809 @ X2810)))&(~(in @ (X2810 @ (esk65_3 @ X2808 @ X2809 @ X2810)) @ X2809)|((lam @ X2808 @ X2809 @ X2810)=(lam @ X2808 @ X2809 @ X2810))))&((((in @ (esk66_3 @ X2812 @ X2813 @ X2814) @ X2812)|(~(in @ X2816 @ X2812)|((ap @ X2812 @ X2813 @ (lam @ X2812 @ X2813 @ X2814) @ X2816)=(X2814 @ X2816))))&(~(in @ (X2814 @ (esk66_3 @ X2812 @ X2813 @ X2814)) @ X2813)|(~(in @ X2816 @ X2812)|((ap @ X2812 @ X2813 @ (lam @ X2812 @ X2813 @ X2814) @ X2816)=(X2814 @ X2816)))))&((~(in @ X2819 @ (funcSet @ X2817 @ X2818))|((lam @ X2817 @ X2818 @ (ap @ X2817 @ X2818 @ X2819))=(X2819)))&((~(in @ X2822 @ X2820)|(~(in @ X2823 @ X2820)|((X2821)|(in @ X2823 @ (dsetconstr @ X2820 @ (^[Z0:$i]:((((((X2821))&(((Z0)=(X2822)))))|(((~((X2821)))&(((Z0)=(X2823)))))))))))))&((~(in @ X2826 @ X2824)|(~(in @ X2827 @ X2824)|((X2825)|((dsetconstr @ X2824 @ (^[Z0:$i]:((((((X2825))&(((Z0)=(X2826)))))|(((~((X2825)))&(((Z0)=(X2827)))))))))=(setadjoin @ X2827 @ emptyset)))))&((~(in @ X2830 @ X2828)|(~(in @ X2831 @ X2828)|(~(X2829)|(in @ X2830 @ (dsetconstr @ X2828 @ (^[Z0:$i]:((((((X2829))&(((Z0)=(X2830)))))|(((~((X2829)))&(((Z0)=(X2831)))))))))))))&((~(in @ X2834 @ X2832)|(~(in @ X2835 @ X2832)|(~(X2833)|((dsetconstr @ X2832 @ (^[Z0:$i]:((((((X2833))&(((Z0)=(X2834)))))|(((~((X2833)))&(((Z0)=(X2835)))))))))=(setadjoin @ X2834 @ emptyset)))))&((~(in @ X2838 @ X2836)|(~(in @ X2839 @ X2836)|(singleton @ (dsetconstr @ X2836 @ (^[Z0:$i]:((((((X2837))&(((Z0)=(X2838)))))|(((~((X2837)))&(((Z0)=(X2839))))))))))))&((~(in @ X2842 @ X2840)|(~(in @ X2843 @ X2840)|(in @ (if @ X2840 @ ((X2841)) @ X2842 @ X2843) @ X2840)))&((~(singleton @ X2844)|(~(in @ X2845 @ X2844)|((setunion @ X2844)=(X2845))))&((~(in @ X2848 @ X2846)|(~(in @ X2849 @ X2846)|(~(X2847)|((if @ X2846 @ ((X2847)) @ X2848 @ X2849)=(X2848)))))&((~(in @ X2852 @ X2850)|(~(in @ X2853 @ X2850)|((X2851)|((if @ X2850 @ ((X2851)) @ X2852 @ X2853)=(X2853)))))&((~(in @ X2856 @ X2854)|(~(in @ X2857 @ X2854)|(in @ (if @ X2854 @ ((X2855)) @ X2856 @ X2857) @ (setadjoin @ X2856 @ (setadjoin @ X2857 @ emptyset)))))&((~(in @ X2859 @ (powerset @ X2858))|(~(in @ X2860 @ (powerset @ X2858))|(in @ (binintersect @ X2859 @ X2860) @ (powerset @ X2858))))&((~(in @ X2862 @ (powerset @ X2861))|(~(in @ X2863 @ (powerset @ X2861))|(in @ (binunion @ X2862 @ X2863) @ (powerset @ X2861))))&((~(in @ X2865 @ (powerset @ X2864))|(in @ (powerset @ X2865) @ (powerset @ (powerset @ X2864))))&((~(in @ X2867 @ (powerset @ X2866))|(~(in @ X2868 @ (powerset @ X2866))|(in @ (setminus @ X2867 @ X2868) @ (powerset @ X2866))))&((~(in @ X2870 @ (powerset @ X2869))|(in @ (setminus @ X2869 @ X2870) @ (powerset @ X2869)))&(((((in @ (esk68_3 @ X2871 @ X2872 @ X2873) @ X2871)|((X2872)=(X2873))|(in @ (esk67_3 @ X2871 @ X2872 @ X2873) @ X2871)|~(in @ X2873 @ (powerset @ X2871))|~(in @ X2872 @ (powerset @ X2871)))&(((in @ (esk68_3 @ X2871 @ X2872 @ X2873) @ X2873)|((X2872)=(X2873))|(in @ (esk67_3 @ X2871 @ X2872 @ X2873) @ X2871)|~(in @ X2873 @ (powerset @ X2871))|~(in @ X2872 @ (powerset @ X2871)))&(~(in @ (esk68_3 @ X2871 @ X2872 @ X2873) @ X2872)|((X2872)=(X2873))|(in @ (esk67_3 @ X2871 @ X2872 @ X2873) @ X2871)|~(in @ X2873 @ (powerset @ X2871))|~(in @ X2872 @ (powerset @ X2871)))))&((((in @ (esk68_3 @ X2871 @ X2872 @ X2873) @ X2871)|((X2872)=(X2873))|(in @ (esk67_3 @ X2871 @ X2872 @ X2873) @ X2872)|~(in @ X2873 @ (powerset @ X2871))|~(in @ X2872 @ (powerset @ X2871)))&(((in @ (esk68_3 @ X2871 @ X2872 @ X2873) @ X2873)|((X2872)=(X2873))|(in @ (esk67_3 @ X2871 @ X2872 @ X2873) @ X2872)|~(in @ X2873 @ (powerset @ X2871))|~(in @ X2872 @ (powerset @ X2871)))&(~(in @ (esk68_3 @ X2871 @ X2872 @ X2873) @ X2872)|((X2872)=(X2873))|(in @ (esk67_3 @ X2871 @ X2872 @ X2873) @ X2872)|~(in @ X2873 @ (powerset @ X2871))|~(in @ X2872 @ (powerset @ X2871)))))&(((in @ (esk68_3 @ X2871 @ X2872 @ X2873) @ X2871)|((X2872)=(X2873))|~(in @ (esk67_3 @ X2871 @ X2872 @ X2873) @ X2873)|~(in @ X2873 @ (powerset @ X2871))|~(in @ X2872 @ (powerset @ X2871)))&(((in @ (esk68_3 @ X2871 @ X2872 @ X2873) @ X2873)|((X2872)=(X2873))|~(in @ (esk67_3 @ X2871 @ X2872 @ X2873) @ X2873)|~(in @ X2873 @ (powerset @ X2871))|~(in @ X2872 @ (powerset @ X2871)))&(~(in @ (esk68_3 @ X2871 @ X2872 @ X2873) @ X2872)|((X2872)=(X2873))|~(in @ (esk67_3 @ X2871 @ X2872 @ X2873) @ X2873)|~(in @ X2873 @ (powerset @ X2871))|~(in @ X2872 @ (powerset @ X2871)))))))&((((in @ (esk69_3 @ X2876 @ X2877 @ X2878) @ X2876)|(subset @ X2877 @ X2878)|~(in @ X2878 @ (powerset @ X2876))|~(in @ X2877 @ (powerset @ X2876)))&(((in @ (esk69_3 @ X2876 @ X2877 @ X2878) @ X2877)|(subset @ X2877 @ X2878)|~(in @ X2878 @ (powerset @ X2876))|~(in @ X2877 @ (powerset @ X2876)))&(~(in @ (esk69_3 @ X2876 @ X2877 @ X2878) @ X2878)|(subset @ X2877 @ X2878)|~(in @ X2878 @ (powerset @ X2876))|~(in @ X2877 @ (powerset @ X2876)))))&((((in @ (esk70_3 @ X2880 @ X2881 @ X2882) @ X2880)|(in @ X2881 @ (powerset @ X2882))|~(in @ X2882 @ (powerset @ X2880))|~(in @ X2881 @ (powerset @ X2880)))&(((in @ (esk70_3 @ X2880 @ X2881 @ X2882) @ X2881)|(in @ X2881 @ (powerset @ X2882))|~(in @ X2882 @ (powerset @ X2880))|~(in @ X2881 @ (powerset @ X2880)))&(~(in @ (esk70_3 @ X2880 @ X2881 @ X2882) @ X2882)|(in @ X2881 @ (powerset @ X2882))|~(in @ X2882 @ (powerset @ X2880))|~(in @ X2881 @ (powerset @ X2880)))))&((~(in @ X2885 @ (powerset @ X2884))|(~(in @ X2886 @ (powerset @ X2884))|(~(in @ X2887 @ X2884)|(~(in @ X2885 @ (powerset @ X2886))|(~(in @ X2887 @ X2885)|(in @ X2887 @ X2886))))))&((~(in @ X2889 @ (powerset @ X2888))|(~(in @ X2890 @ X2888)|(~(in @ X2890 @ X2889)|~(in @ X2890 @ (setminus @ X2888 @ X2889)))))&((~(in @ X2892 @ (powerset @ X2891))|(~(in @ X2893 @ X2891)|((in @ X2893 @ (setminus @ X2891 @ X2892))|(in @ X2893 @ X2892))))&((~(in @ X2895 @ (powerset @ X2894))|(~(in @ X2896 @ (powerset @ X2894))|(~(in @ X2897 @ X2894)|((in @ X2897 @ X2895)|~(in @ X2897 @ (binintersect @ X2895 @ X2896))))))&((~(in @ X2899 @ (powerset @ X2898))|(~(in @ X2900 @ (powerset @ X2898))|(~(in @ X2901 @ X2898)|((in @ X2901 @ X2900)|~(in @ X2901 @ (binintersect @ X2899 @ X2900))))))&((~(in @ X2903 @ (powerset @ X2902))|(~(in @ X2904 @ (powerset @ X2902))|(~(in @ X2905 @ X2902)|(~(subset @ X2903 @ (setminus @ X2902 @ X2904))|(~(in @ X2905 @ X2904)|~(in @ X2905 @ X2903))))))&((~(in @ X2907 @ (powerset @ X2906))|(~(in @ X2908 @ (powerset @ X2906))|(~(in @ X2909 @ X2906)|(~(subset @ X2907 @ X2908)|((in @ X2909 @ X2908)|~(in @ X2909 @ X2907))))))&((~(in @ X2911 @ (powerset @ X2910))|(~(in @ X2912 @ (powerset @ X2910))|(~(subset @ X2911 @ X2912)|(subset @ (setminus @ X2910 @ X2912) @ (setminus @ X2910 @ X2911)))))&((~(in @ X2914 @ (powerset @ X2913))|(~(in @ X2915 @ (powerset @ X2913))|(~(subset @ (setminus @ X2913 @ X2915) @ (setminus @ X2913 @ X2914))|(subset @ X2914 @ X2915))))&((~(in @ X2917 @ (powerset @ X2916))|(~(in @ X2918 @ X2916)|(~(in @ X2918 @ X2917)|(in @ X2918 @ (setminus @ X2916 @ (setminus @ X2916 @ X2917))))))&((~(in @ X2920 @ (powerset @ X2919))|(~(in @ X2921 @ X2919)|(~(in @ X2921 @ (setminus @ X2919 @ (setminus @ X2919 @ X2920)))|(in @ X2921 @ X2920))))&((~(in @ X2923 @ (powerset @ X2922))|(subset @ X2923 @ (setminus @ X2922 @ (setminus @ X2922 @ X2923))))&((~(in @ X2925 @ (powerset @ X2924))|(subset @ (setminus @ X2924 @ (setminus @ X2924 @ X2925)) @ X2925))&((~(in @ X2927 @ (powerset @ X2926))|((X2927)=(setminus @ X2926 @ (setminus @ X2926 @ X2927))))&((~(in @ X2929 @ (powerset @ X2928))|(~(in @ X2930 @ (powerset @ X2928))|(~(in @ X2931 @ X2928)|(~(in @ X2931 @ (setminus @ X2928 @ X2929))|~(in @ X2931 @ (binintersect @ X2929 @ X2930))))))&((~(in @ X2933 @ (powerset @ X2932))|(~(in @ X2934 @ (powerset @ X2932))|(~(in @ X2935 @ X2932)|(~(in @ X2935 @ (setminus @ X2932 @ X2933))|(in @ X2935 @ (setminus @ X2932 @ (binintersect @ X2933 @ X2934)))))))&((~(in @ X2937 @ (powerset @ X2936))|(~(in @ X2938 @ (powerset @ X2936))|(subset @ (setminus @ X2936 @ X2937) @ (setminus @ X2936 @ (binintersect @ X2937 @ X2938)))))&((~(in @ X2940 @ (powerset @ X2939))|(~(in @ X2941 @ (powerset @ X2939))|(in @ (setminus @ X2939 @ X2940) @ (powerset @ (setminus @ X2939 @ (binintersect @ X2940 @ X2941))))))&((~(in @ X2943 @ (powerset @ X2942))|(~(in @ X2944 @ (powerset @ X2942))|(~(subset @ X2943 @ (setminus @ X2942 @ X2944))|(~(in @ X2945 @ X2942)|(~(in @ X2945 @ X2944)|(in @ X2945 @ (setminus @ X2942 @ X2943)))))))&((~(in @ X2947 @ (powerset @ X2946))|(~(in @ X2948 @ (powerset @ X2946))|(~(subset @ X2947 @ (setminus @ X2946 @ X2948))|(subset @ X2948 @ (setminus @ X2946 @ X2947)))))&((~(in @ X2950 @ (powerset @ X2949))|(~(in @ X2951 @ (powerset @ X2949))|(~(in @ X2952 @ X2949)|((in @ X2952 @ (binunion @ X2950 @ X2951))|~(in @ X2952 @ X2950)))))&((~(in @ X2954 @ (powerset @ X2953))|(~(in @ X2955 @ (powerset @ X2953))|(~(in @ X2956 @ X2953)|((in @ X2956 @ (binunion @ X2954 @ X2955))|~(in @ X2956 @ X2955)))))&((~(in @ X2958 @ (powerset @ X2957))|(~(in @ X2959 @ (powerset @ X2957))|(~(in @ X2960 @ (powerset @ X2957))|(~(in @ X2961 @ X2957)|(~(in @ X2961 @ (binintersect @ X2958 @ X2959))|(in @ X2961 @ (binunion @ X2958 @ X2960)))))))&((~(in @ X2963 @ (powerset @ X2962))|(~(in @ X2964 @ (powerset @ X2962))|(~(in @ X2965 @ (powerset @ X2962))|(~(in @ X2966 @ X2962)|(~(in @ X2966 @ (binintersect @ X2963 @ X2964))|(in @ X2966 @ (binunion @ X2964 @ X2965)))))))&((~(in @ X2968 @ (powerset @ X2967))|(~(in @ X2969 @ (powerset @ X2967))|(~(in @ X2970 @ (powerset @ X2967))|(~(in @ X2971 @ X2967)|(~(in @ X2971 @ (binintersect @ X2968 @ X2969))|(in @ X2971 @ (binintersect @ (binunion @ X2968 @ X2970) @ (binunion @ X2969 @ X2970))))))))&((~(in @ X2973 @ (powerset @ X2972))|(~(in @ X2974 @ (powerset @ X2972))|(~(in @ X2975 @ (powerset @ X2972))|(in @ (binintersect @ X2973 @ X2974) @ (powerset @ (binintersect @ (binunion @ X2973 @ X2975) @ (binunion @ X2974 @ X2975)))))))&((~(in @ X2977 @ (powerset @ X2976))|(~(in @ X2978 @ (powerset @ X2976))|(~(in @ X2979 @ X2976)|(~(in @ X2979 @ (setminus @ X2976 @ (binunion @ X2977 @ X2978)))|~(in @ X2979 @ X2977)))))&((~(in @ X2981 @ (powerset @ X2980))|(~(in @ X2982 @ (powerset @ X2980))|(~(in @ X2983 @ X2980)|(~(in @ X2983 @ (setminus @ X2980 @ (binunion @ X2981 @ X2982)))|(in @ X2983 @ (setminus @ X2980 @ X2981))))))&(((((in @ X2988 @ X2986)|(X2987)|(in @ X2988 @ X2985)|~(in @ X2988 @ (binunion @ X2985 @ X2986))|~(in @ X2988 @ X2984)|~(in @ X2986 @ (powerset @ X2984))|~(in @ X2985 @ (powerset @ X2984)))&(~(X2987)|(X2987)|(in @ X2988 @ X2985)|~(in @ X2988 @ (binunion @ X2985 @ X2986))|~(in @ X2988 @ X2984)|~(in @ X2986 @ (powerset @ X2984))|~(in @ X2985 @ (powerset @ X2984))))&(((in @ X2988 @ X2986)|(X2987)|~(X2987)|~(in @ X2988 @ (binunion @ X2985 @ X2986))|~(in @ X2988 @ X2984)|~(in @ X2986 @ (powerset @ X2984))|~(in @ X2985 @ (powerset @ X2984)))&(~(X2987)|(X2987)|~(X2987)|~(in @ X2988 @ (binunion @ X2985 @ X2986))|~(in @ X2988 @ X2984)|~(in @ X2986 @ (powerset @ X2984))|~(in @ X2985 @ (powerset @ X2984)))))&((~(in @ X2990 @ (powerset @ X2989))|(~(in @ X2991 @ (powerset @ X2989))|(~(in @ X2992 @ X2989)|((in @ X2992 @ X2990)|((in @ X2992 @ X2991)|~(in @ X2992 @ (binunion @ X2990 @ X2991)))))))&((~(in @ X2994 @ (powerset @ X2993))|(~(in @ X2995 @ (powerset @ X2993))|(~(in @ X2996 @ X2993)|(~(in @ X2996 @ (setminus @ X2993 @ (binunion @ X2994 @ X2995)))|(in @ X2996 @ (setminus @ X2993 @ X2994))))))&((~(in @ X2998 @ (powerset @ X2997))|(~(in @ X2999 @ (powerset @ X2997))|(in @ (setminus @ X2997 @ (binunion @ X2998 @ X2999)) @ (powerset @ (setminus @ X2997 @ X2998)))))&((~(in @ X3001 @ (powerset @ X3000))|(~(in @ X3002 @ (powerset @ X3000))|(~(in @ X3003 @ X3000)|(~(in @ X3003 @ (setminus @ X3000 @ (binunion @ X3001 @ X3002)))|(in @ X3003 @ (setminus @ X3000 @ X3002))))))&((~(in @ X3005 @ (powerset @ X3004))|(~(in @ X3006 @ (powerset @ X3004))|(~(in @ X3007 @ X3004)|(~(in @ X3007 @ (setminus @ X3004 @ (binintersect @ X3005 @ X3006)))|(in @ X3007 @ (binunion @ (setminus @ X3004 @ X3005) @ (setminus @ X3004 @ X3006)))))))&((~(in @ X3009 @ (powerset @ X3008))|(~(in @ X3010 @ (powerset @ X3008))|(~(in @ X3011 @ X3008)|(~(in @ X3011 @ (binunion @ (setminus @ X3008 @ X3009) @ (setminus @ X3008 @ X3010)))|(in @ X3011 @ (setminus @ X3008 @ (binintersect @ X3009 @ X3010)))))))&((~(in @ X3013 @ (powerset @ X3012))|(~(in @ X3014 @ (powerset @ X3012))|((setminus @ X3012 @ (binintersect @ X3013 @ X3014))=(binunion @ (setminus @ X3012 @ X3013) @ (setminus @ X3012 @ X3014)))))&((~(in @ X3016 @ (powerset @ X3015))|(~(in @ X3017 @ (powerset @ X3015))|(~(in @ X3018 @ X3015)|(~(in @ X3018 @ (setminus @ X3015 @ (binunion @ X3016 @ X3017)))|(in @ X3018 @ (binintersect @ (setminus @ X3015 @ X3016) @ (setminus @ X3015 @ X3017)))))))&((~(in @ X3020 @ (powerset @ X3019))|(~(in @ X3021 @ (powerset @ X3019))|(~(in @ X3022 @ X3019)|(~(in @ X3022 @ (setminus @ X3019 @ X3020))|(~(in @ X3022 @ (setminus @ X3019 @ X3021))|(in @ X3022 @ (setminus @ X3019 @ (binunion @ X3020 @ X3021))))))))&((~(in @ X3024 @ (powerset @ X3023))|(~(in @ X3025 @ (powerset @ X3023))|(~(in @ X3026 @ X3023)|(~(in @ X3026 @ (binintersect @ (setminus @ X3023 @ X3024) @ (setminus @ X3023 @ X3025)))|(in @ X3026 @ (setminus @ X3023 @ (binunion @ X3024 @ X3025)))))))&((~(in @ X3028 @ (powerset @ X3027))|(~(in @ X3029 @ (powerset @ X3027))|((setminus @ X3027 @ (binunion @ X3028 @ X3029))=(binintersect @ (setminus @ X3027 @ X3028) @ (setminus @ X3027 @ X3029)))))&((~(in @ X3031 @ (powerset @ X3030))|(~(in @ X3032 @ (powerset @ X3030))|(~(in @ X3033 @ (binintersect @ X3031 @ X3032))|(in @ X3033 @ X3030))))&((~(in @ X3035 @ (powerset @ X3034))|(~(in @ X3036 @ (powerset @ X3034))|(~(in @ X3037 @ (powerset @ X3034))|(~(subset @ X3035 @ X3037)|(subset @ (binintersect @ X3035 @ X3036) @ X3037)))))&((~(in @ X3039 @ (powerset @ X3038))|(~(in @ X3040 @ (powerset @ X3038))|(~(in @ X3041 @ (powerset @ X3038))|(~(subset @ X3040 @ X3041)|(subset @ (binintersect @ X3039 @ X3040) @ X3041)))))&((~(in @ X3043 @ (powerset @ X3042))|(~(in @ X3044 @ (powerset @ X3042))|(~(in @ X3045 @ (powerset @ X3042))|(~(subset @ X3043 @ X3044)|(~(subset @ X3043 @ X3045)|(subset @ X3043 @ (binintersect @ X3044 @ X3045)))))))&((~(in @ X3047 @ (powerset @ X3046))|(~(in @ X3048 @ (powerset @ X3046))|(~(in @ X3049 @ (powerset @ X3046))|(~(in @ X3050 @ (powerset @ X3046))|(~(subset @ X3047 @ X3049)|(~(subset @ X3048 @ X3050)|(subset @ (binintersect @ X3047 @ X3048) @ (binintersect @ X3049 @ X3050))))))))&((~(in @ X3052 @ (powerset @ X3051))|(~(in @ X3053 @ (powerset @ X3051))|(in @ (setminus @ X3051 @ X3052) @ (powerset @ (setminus @ X3051 @ (binintersect @ X3052 @ X3053))))))&((~(in @ X3055 @ (powerset @ X3054))|(~(in @ X3056 @ (powerset @ X3054))|(~(in @ X3057 @ (powerset @ X3054))|(~(in @ X3058 @ (powerset @ X3054))|((setminus @ X3054 @ (binintersect @ (binunion @ X3055 @ X3056) @ (binunion @ X3057 @ X3058)))=(binunion @ (binintersect @ (setminus @ X3054 @ X3055) @ (setminus @ X3054 @ X3056)) @ (binintersect @ (setminus @ X3054 @ X3057) @ (setminus @ X3054 @ X3058))))))))&((~(in @ X3060 @ (powerset @ X3059))|(~(in @ X3061 @ (powerset @ X3059))|(~(in @ X3062 @ (powerset @ X3059))|(in @ (binintersect @ X3060 @ X3061) @ (powerset @ (binintersect @ (binunion @ X3060 @ X3062) @ (binunion @ X3061 @ X3062)))))))&((~(in @ X3064 @ (powerset @ X3063))|(~(in @ X3065 @ (powerset @ X3063))|(~(subset @ X3064 @ (setminus @ X3063 @ X3065))|(subset @ X3065 @ (setminus @ X3063 @ X3064)))))&((~(in @ X3067 @ (powerset @ X3066))|(~(in @ X3068 @ (powerset @ X3066))|(in @ (setminus @ X3066 @ (binunion @ X3067 @ X3068)) @ (powerset @ (setminus @ X3066 @ X3067)))))&((((in @ (esk71_3 @ X3069 @ X3070 @ X3071) @ X3069)|(~(in @ X3074 @ X3070)|(X3071 @ X3074))|~(breln1 @ X3069 @ X3070))&(((in @ (esk72_3 @ X3069 @ X3070 @ X3071) @ X3069)|(~(in @ X3074 @ X3070)|(X3071 @ X3074))|~(breln1 @ X3069 @ X3070))&(((in @ (kpair @ (esk71_3 @ X3069 @ X3070 @ X3071) @ (esk72_3 @ X3069 @ X3070 @ X3071)) @ X3070)|(~(in @ X3074 @ X3070)|(X3071 @ X3074))|~(breln1 @ X3069 @ X3070))&(~(X3071 @ (kpair @ (esk71_3 @ X3069 @ X3070 @ X3071) @ (esk72_3 @ X3069 @ X3070 @ X3071)))|(~(in @ X3074 @ X3070)|(X3071 @ X3074))|~(breln1 @ X3069 @ X3070)))))&((~(in @ X3076 @ (breln1Set @ X3075))|(breln1 @ X3075 @ X3076))&((choice2fnsingleton)&((breln1 @ X3077 @ (dpsetconstr @ X3077 @ X3077 @ X3078))&((((in @ (esk73_3 @ X3079 @ X3080 @ X3081) @ X3079)|(~(in @ X3084 @ X3080)|(X3081 @ X3084))|~(breln1 @ X3079 @ X3080))&(((in @ (esk74_3 @ X3079 @ X3080 @ X3081) @ X3079)|(~(in @ X3084 @ X3080)|(X3081 @ X3084))|~(breln1 @ X3079 @ X3080))&(((in @ (kpair @ (esk73_3 @ X3079 @ X3080 @ X3081) @ (esk74_3 @ X3079 @ X3080 @ X3081)) @ X3080)|(~(in @ X3084 @ X3080)|(X3081 @ X3084))|~(breln1 @ X3079 @ X3080))&(~(X3081 @ (kpair @ (esk73_3 @ X3079 @ X3080 @ X3081) @ (esk74_3 @ X3079 @ X3080 @ X3081)))|(~(in @ X3084 @ X3080)|(X3081 @ X3084))|~(breln1 @ X3079 @ X3080)))))&((((in @ (esk75_3 @ X3085 @ X3086 @ X3087) @ X3085)|(subset @ X3086 @ X3087)|~(breln1 @ X3085 @ X3087)|~(breln1 @ X3085 @ X3086))&(((in @ (esk76_3 @ X3085 @ X3086 @ X3087) @ X3085)|(subset @ X3086 @ X3087)|~(breln1 @ X3085 @ X3087)|~(breln1 @ X3085 @ X3086))&(((in @ (kpair @ (esk75_3 @ X3085 @ X3086 @ X3087) @ (esk76_3 @ X3085 @ X3086 @ X3087)) @ X3086)|(subset @ X3086 @ X3087)|~(breln1 @ X3085 @ X3087)|~(breln1 @ X3085 @ X3086))&(~(in @ (kpair @ (esk75_3 @ X3085 @ X3086 @ X3087) @ (esk76_3 @ X3085 @ X3086 @ X3087)) @ X3087)|(subset @ X3086 @ X3087)|~(breln1 @ X3085 @ X3087)|~(breln1 @ X3085 @ X3086)))))&(((((in @ (esk79_3 @ X3090 @ X3091 @ X3092) @ X3090)|((X3091)=(X3092))|(in @ (esk77_3 @ X3090 @ X3091 @ X3092) @ X3090)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(((in @ (esk80_3 @ X3090 @ X3091 @ X3092) @ X3090)|((X3091)=(X3092))|(in @ (esk77_3 @ X3090 @ X3091 @ X3092) @ X3090)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(((in @ (kpair @ (esk79_3 @ X3090 @ X3091 @ X3092) @ (esk80_3 @ X3090 @ X3091 @ X3092)) @ X3092)|((X3091)=(X3092))|(in @ (esk77_3 @ X3090 @ X3091 @ X3092) @ X3090)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(~(in @ (kpair @ (esk79_3 @ X3090 @ X3091 @ X3092) @ (esk80_3 @ X3090 @ X3091 @ X3092)) @ X3091)|((X3091)=(X3092))|(in @ (esk77_3 @ X3090 @ X3091 @ X3092) @ X3090)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091)))))&((((in @ (esk79_3 @ X3090 @ X3091 @ X3092) @ X3090)|((X3091)=(X3092))|(in @ (esk78_3 @ X3090 @ X3091 @ X3092) @ X3090)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(((in @ (esk80_3 @ X3090 @ X3091 @ X3092) @ X3090)|((X3091)=(X3092))|(in @ (esk78_3 @ X3090 @ X3091 @ X3092) @ X3090)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(((in @ (kpair @ (esk79_3 @ X3090 @ X3091 @ X3092) @ (esk80_3 @ X3090 @ X3091 @ X3092)) @ X3092)|((X3091)=(X3092))|(in @ (esk78_3 @ X3090 @ X3091 @ X3092) @ X3090)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(~(in @ (kpair @ (esk79_3 @ X3090 @ X3091 @ X3092) @ (esk80_3 @ X3090 @ X3091 @ X3092)) @ X3091)|((X3091)=(X3092))|(in @ (esk78_3 @ X3090 @ X3091 @ X3092) @ X3090)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091)))))&((((in @ (esk79_3 @ X3090 @ X3091 @ X3092) @ X3090)|((X3091)=(X3092))|(in @ (kpair @ (esk77_3 @ X3090 @ X3091 @ X3092) @ (esk78_3 @ X3090 @ X3091 @ X3092)) @ X3091)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(((in @ (esk80_3 @ X3090 @ X3091 @ X3092) @ X3090)|((X3091)=(X3092))|(in @ (kpair @ (esk77_3 @ X3090 @ X3091 @ X3092) @ (esk78_3 @ X3090 @ X3091 @ X3092)) @ X3091)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(((in @ (kpair @ (esk79_3 @ X3090 @ X3091 @ X3092) @ (esk80_3 @ X3090 @ X3091 @ X3092)) @ X3092)|((X3091)=(X3092))|(in @ (kpair @ (esk77_3 @ X3090 @ X3091 @ X3092) @ (esk78_3 @ X3090 @ X3091 @ X3092)) @ X3091)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(~(in @ (kpair @ (esk79_3 @ X3090 @ X3091 @ X3092) @ (esk80_3 @ X3090 @ X3091 @ X3092)) @ X3091)|((X3091)=(X3092))|(in @ (kpair @ (esk77_3 @ X3090 @ X3091 @ X3092) @ (esk78_3 @ X3090 @ X3091 @ X3092)) @ X3091)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091)))))&(((in @ (esk79_3 @ X3090 @ X3091 @ X3092) @ X3090)|((X3091)=(X3092))|~(in @ (kpair @ (esk77_3 @ X3090 @ X3091 @ X3092) @ (esk78_3 @ X3090 @ X3091 @ X3092)) @ X3092)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(((in @ (esk80_3 @ X3090 @ X3091 @ X3092) @ X3090)|((X3091)=(X3092))|~(in @ (kpair @ (esk77_3 @ X3090 @ X3091 @ X3092) @ (esk78_3 @ X3090 @ X3091 @ X3092)) @ X3092)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(((in @ (kpair @ (esk79_3 @ X3090 @ X3091 @ X3092) @ (esk80_3 @ X3090 @ X3091 @ X3092)) @ X3092)|((X3091)=(X3092))|~(in @ (kpair @ (esk77_3 @ X3090 @ X3091 @ X3092) @ (esk78_3 @ X3090 @ X3091 @ X3092)) @ X3092)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))&(~(in @ (kpair @ (esk79_3 @ X3090 @ X3091 @ X3092) @ (esk80_3 @ X3090 @ X3091 @ X3092)) @ X3091)|((X3091)=(X3092))|~(in @ (kpair @ (esk77_3 @ X3090 @ X3091 @ X3092) @ (esk78_3 @ X3090 @ X3091 @ X3092)) @ X3092)|~(breln1 @ X3090 @ X3092)|~(breln1 @ X3090 @ X3091))))))))&((~(breln1 @ X3097 @ X3098)|(breln1 @ X3097 @ (breln1invset @ X3097 @ X3098)))&((~(breln1 @ X3099 @ X3100)|(~(in @ X3101 @ X3099)|(~(in @ X3102 @ X3099)|(~(in @ (kpair @ X3101 @ X3102) @ X3100)|(in @ (kpair @ X3102 @ X3101) @ (breln1invset @ X3099 @ X3100))))))&((~(breln1 @ X3103 @ X3104)|(~(in @ X3105 @ X3103)|(~(in @ X3106 @ X3103)|(~(in @ (kpair @ X3106 @ X3105) @ (breln1invset @ X3103 @ X3104))|(in @ (kpair @ X3105 @ X3106) @ X3104)))))&((~(breln1 @ X3107 @ X3108)|(~(breln1 @ X3107 @ X3109)|(breln1 @ X3107 @ (breln1compset @ X3107 @ X3108 @ X3109))))&((~(breln1 @ X3110 @ X3111)|(~(breln1 @ X3110 @ X3112)|(~(in @ X3113 @ X3110)|(~(in @ X3114 @ X3110)|(~(in @ X3115 @ X3110)|(~(in @ (kpair @ X3113 @ X3115) @ X3111)|(~(in @ (kpair @ X3115 @ X3114) @ X3112)|(in @ (kpair @ X3113 @ X3114) @ (breln1compset @ X3110 @ X3111 @ X3112)))))))))&(((((in @ (esk81_5 @ X3116 @ X3117 @ X3118 @ X3119 @ X3120) @ X3116)|~(in @ (kpair @ X3119 @ X3120) @ (breln1compset @ X3116 @ X3117 @ X3118))|~(in @ X3120 @ X3116)|~(in @ X3119 @ X3116)|~(breln1 @ X3116 @ X3118)|~(breln1 @ X3116 @ X3117))&((in @ (kpair @ X3119 @ (esk81_5 @ X3116 @ X3117 @ X3118 @ X3119 @ X3120)) @ X3117)|~(in @ (kpair @ X3119 @ X3120) @ (breln1compset @ X3116 @ X3117 @ X3118))|~(in @ X3120 @ X3116)|~(in @ X3119 @ X3116)|~(breln1 @ X3116 @ X3118)|~(breln1 @ X3116 @ X3117)))&((in @ (kpair @ (esk81_5 @ X3116 @ X3117 @ X3118 @ X3119 @ X3120) @ X3120) @ X3118)|~(in @ (kpair @ X3119 @ X3120) @ (breln1compset @ X3116 @ X3117 @ X3118))|~(in @ X3120 @ X3116)|~(in @ X3119 @ X3116)|~(breln1 @ X3116 @ X3118)|~(breln1 @ X3116 @ X3117)))&((((in @ (esk82_6 @ X3122 @ X3123 @ X3124 @ X3125 @ X3126 @ X3127) @ X3122)|(X3127)|~(in @ (kpair @ X3125 @ X3126) @ (breln1compset @ X3122 @ X3123 @ X3124))|~(in @ X3126 @ X3122)|~(in @ X3125 @ X3122)|~(breln1 @ X3122 @ X3124)|~(breln1 @ X3122 @ X3123))&(((in @ (kpair @ X3125 @ (esk82_6 @ X3122 @ X3123 @ X3124 @ X3125 @ X3126 @ X3127)) @ X3123)|(X3127)|~(in @ (kpair @ X3125 @ X3126) @ (breln1compset @ X3122 @ X3123 @ X3124))|~(in @ X3126 @ X3122)|~(in @ X3125 @ X3122)|~(breln1 @ X3122 @ X3124)|~(breln1 @ X3122 @ X3123))&(((in @ (kpair @ (esk82_6 @ X3122 @ X3123 @ X3124 @ X3125 @ X3126 @ X3127) @ X3126) @ X3124)|(X3127)|~(in @ (kpair @ X3125 @ X3126) @ (breln1compset @ X3122 @ X3123 @ X3124))|~(in @ X3126 @ X3122)|~(in @ X3125 @ X3122)|~(breln1 @ X3122 @ X3124)|~(breln1 @ X3122 @ X3123))&(~(X3127)|(X3127)|~(in @ (kpair @ X3125 @ X3126) @ (breln1compset @ X3122 @ X3123 @ X3124))|~(in @ X3126 @ X3122)|~(in @ X3125 @ X3122)|~(breln1 @ X3122 @ X3124)|~(breln1 @ X3122 @ X3123)))))&((~(breln1 @ X3129 @ X3130)|(~(breln1 @ X3129 @ X3131)|(breln1 @ X3129 @ (binunion @ X3130 @ X3131))))&((~(breln1 @ X3132 @ X3133)|(~(breln1 @ X3132 @ X3134)|(~(in @ X3135 @ X3132)|(~(in @ X3136 @ X3132)|(~(in @ (kpair @ X3135 @ X3136) @ X3133)|(in @ (kpair @ X3135 @ X3136) @ (binunion @ X3133 @ X3134)))))))&((~(breln1 @ X3137 @ X3138)|(~(breln1 @ X3137 @ X3139)|(~(in @ X3140 @ X3137)|(~(in @ X3141 @ X3137)|(~(in @ (kpair @ X3140 @ X3141) @ X3139)|(in @ (kpair @ X3140 @ X3141) @ (binunion @ X3138 @ X3139)))))))&(((~(in @ (kpair @ X3145 @ X3146) @ X3143)|(in @ (kpair @ X3145 @ X3146) @ (binunion @ X3143 @ X3144))|~(in @ X3146 @ X3142)|~(in @ X3145 @ X3142)|~(breln1 @ X3142 @ X3144)|~(breln1 @ X3142 @ X3143))&(~(in @ (kpair @ X3145 @ X3146) @ X3144)|(in @ (kpair @ X3145 @ X3146) @ (binunion @ X3143 @ X3144))|~(in @ X3146 @ X3142)|~(in @ X3145 @ X3142)|~(breln1 @ X3142 @ X3144)|~(breln1 @ X3142 @ X3143)))&((~(breln1 @ X3147 @ X3148)|(~(breln1 @ X3147 @ X3149)|(~(in @ X3150 @ X3147)|(~(in @ X3151 @ X3147)|(~(in @ (kpair @ X3150 @ X3151) @ (binunion @ X3148 @ X3149))|((in @ (kpair @ X3150 @ X3151) @ X3148)|(in @ (kpair @ X3150 @ X3151) @ X3149)))))))&(((((in @ (kpair @ X3155 @ X3156) @ X3154)|(X3157)|(in @ (kpair @ X3155 @ X3156) @ X3153)|~(in @ (kpair @ X3155 @ X3156) @ (binunion @ X3153 @ X3154))|~(in @ X3156 @ X3152)|~(in @ X3155 @ X3152)|~(breln1 @ X3152 @ X3154)|~(breln1 @ X3152 @ X3153))&(~(X3157)|(X3157)|(in @ (kpair @ X3155 @ X3156) @ X3153)|~(in @ (kpair @ X3155 @ X3156) @ (binunion @ X3153 @ X3154))|~(in @ X3156 @ X3152)|~(in @ X3155 @ X3152)|~(breln1 @ X3152 @ X3154)|~(breln1 @ X3152 @ X3153)))&(((in @ (kpair @ X3155 @ X3156) @ X3154)|(X3157)|~(X3157)|~(in @ (kpair @ X3155 @ X3156) @ (binunion @ X3153 @ X3154))|~(in @ X3156 @ X3152)|~(in @ X3155 @ X3152)|~(breln1 @ X3152 @ X3154)|~(breln1 @ X3152 @ X3153))&(~(X3157)|(X3157)|~(X3157)|~(in @ (kpair @ X3155 @ X3156) @ (binunion @ X3153 @ X3154))|~(in @ X3156 @ X3152)|~(in @ X3155 @ X3152)|~(breln1 @ X3152 @ X3154)|~(breln1 @ X3152 @ X3153))))&((~(breln1 @ X3158 @ X3159)|(~(breln1 @ X3158 @ X3160)|((binunion @ X3159 @ X3160)=(binunion @ X3160 @ X3159))))&((~(breln1 @ X3161 @ X3162)|((X3162)=(breln1invset @ X3161 @ (breln1invset @ X3161 @ X3162))))&((~(breln1 @ X3163 @ X3164)|(~(breln1 @ X3163 @ X3165)|((breln1invset @ X3163 @ (breln1compset @ X3163 @ X3164 @ X3165))=(breln1compset @ X3163 @ (breln1invset @ X3163 @ X3165) @ (breln1invset @ X3163 @ X3164)))))&((~(breln1 @ X3166 @ X3167)|(~(breln1 @ X3166 @ X3168)|(~(breln1 @ X3166 @ X3169)|((breln1compset @ X3166 @ (binunion @ X3167 @ X3168) @ X3169)=(binunion @ (breln1compset @ X3166 @ X3167 @ X3169) @ (breln1compset @ X3166 @ X3168 @ X3169))))))&((~(breln1 @ X3170 @ X3171)|(~(breln1 @ X3170 @ X3172)|(~(breln1 @ X3170 @ X3173)|((breln1compset @ X3170 @ (binunion @ X3171 @ X3172) @ X3173)=(binunion @ (breln1invset @ X3170 @ (breln1compset @ X3170 @ (breln1invset @ X3170 @ X3173) @ (breln1invset @ X3170 @ X3172))) @ (breln1invset @ X3170 @ (breln1compset @ X3170 @ (breln1invset @ X3170 @ X3173) @ (breln1invset @ X3170 @ X3171))))))))&(((((in @ (esk84_3 @ X3174 @ X3175 @ X3177) @ X3174)|~(in @ X3177 @ (esk83_2 @ X3174 @ X3175)))&(((X3177)=(X3175 @ (esk84_3 @ X3174 @ X3175 @ X3177)))|~(in @ X3177 @ (esk83_2 @ X3174 @ X3175))))&(~(in @ X3180 @ X3174)|((X3179)!=(X3175 @ X3180))|(in @ X3179 @ (esk83_2 @ X3174 @ X3175))))&((exu @ (^[Z0:$i]:(![X2136:$i]:((((in @ X2136 @ Z0))<=>(?[X2137:$i]:((((in @ X2137 @ X3181))&(((X2136)=(X3182 @ X2137)))))))))))&(((((in @ (esk85_3 @ X3183 @ X3184 @ X3185) @ X3183)|~(in @ X3185 @ (image1 @ X3183 @ X3184)))&(((X3185)=(X3184 @ (esk85_3 @ X3183 @ X3184 @ X3185)))|~(in @ X3185 @ (image1 @ X3183 @ X3184))))&(~(in @ X3190 @ X3187)|((X3189)!=(X3188 @ X3190))|(in @ X3189 @ (image1 @ X3187 @ X3188))))&((((in @ (esk86_3 @ X3191 @ X3192 @ X3193) @ X3191)|~(in @ X3193 @ (image1 @ X3191 @ X3192)))&(((X3193)=(X3192 @ (esk86_3 @ X3191 @ X3192 @ X3193)))|~(in @ X3193 @ (image1 @ X3191 @ X3192))))&((~(in @ X3198 @ X3195)|((X3197)!=(X3196 @ X3198))|(in @ X3197 @ (image1 @ X3195 @ X3196)))&((~(in @ X3201 @ (funcSet @ X3199 @ X3200))|(~(injective @ X3199 @ X3200 @ X3201)|(in @ X3201 @ (injFuncSet @ X3199 @ X3200))))&((~(in @ X3204 @ (injFuncSet @ X3202 @ X3203))|(in @ X3204 @ (funcSet @ X3202 @ X3203)))&((~(in @ X3207 @ (injFuncSet @ X3205 @ X3206))|(injective @ X3205 @ X3206 @ X3207))&((~(in @ X3210 @ (surjFuncSet @ X3208 @ X3209))|(in @ X3210 @ (funcSet @ X3208 @ X3209)))&((~(in @ X3213 @ (surjFuncSet @ X3211 @ X3212))|(surjective @ X3211 @ X3212 @ X3213))&(((((in @ (esk88_4 @ X3214 @ X3215 @ X3216 @ X3218) @ X3214)|(surjective @ X3215 @ X3214 @ X3218)|~(in @ X3218 @ (funcSet @ X3215 @ X3214))|(in @ (esk87_3 @ X3214 @ X3215 @ X3216) @ X3214))&(((ap @ X3215 @ X3214 @ X3218 @ (X3216 @ (esk88_4 @ X3214 @ X3215 @ X3216 @ X3218)))!=(esk88_4 @ X3214 @ X3215 @ X3216 @ X3218))|(surjective @ X3215 @ X3214 @ X3218)|~(in @ X3218 @ (funcSet @ X3215 @ X3214))|(in @ (esk87_3 @ X3214 @ X3215 @ X3216) @ X3214)))&(((in @ (esk88_4 @ X3214 @ X3215 @ X3216 @ X3218) @ X3214)|(surjective @ X3215 @ X3214 @ X3218)|~(in @ X3218 @ (funcSet @ X3215 @ X3214))|~(in @ (X3216 @ (esk87_3 @ X3214 @ X3215 @ X3216)) @ X3215))&(((ap @ X3215 @ X3214 @ X3218 @ (X3216 @ (esk88_4 @ X3214 @ X3215 @ X3216 @ X3218)))!=(esk88_4 @ X3214 @ X3215 @ X3216 @ X3218))|(surjective @ X3215 @ X3214 @ X3218)|~(in @ X3218 @ (funcSet @ X3215 @ X3214))|~(in @ (X3216 @ (esk87_3 @ X3214 @ X3215 @ X3216)) @ X3215))))&((~(in @ X3221 @ (funcSet @ X3220 @ (powerset @ X3220)))|~(surjective @ X3220 @ (powerset @ X3220) @ X3221))&(((esk89_0)!=(emptyset))&(~(in @ X3223 @ esk89_0)|((binintersect @ X3223 @ esk89_0)!=(emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_384])])])])])])])).
% 182.89/31.05 thf(c_0_386, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:((~((in @ X2 @ (esk8_1 @ X3)))|~((in @ X2 @ X3))|~((in @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_385])).
% 182.89/31.05 thf(c_0_387, negated_conjecture, ![X2:$i, X3:$i]:((~((in @ X2 @ (esk8_1 @ X3)))|~((in @ X2 @ X3)))), inference(condense,[status(thm)],[c_0_386])).
% 182.89/31.05 thf(c_0_388, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk38_2 @ X2 @ X3) @ X2)|((binintersect @ X2 @ X3)=(emptyset)))), inference(split_conjunct,[status(thm)],[c_0_385])).
% 182.89/31.05 thf(c_0_389, negated_conjecture, ![X3:$i, X2:$i]:((((binintersect @ (esk8_1 @ X2) @ X3)=(emptyset))|~((in @ (esk38_2 @ (esk8_1 @ X2) @ X3) @ X2)))), inference(spm,[status(thm)],[c_0_387, c_0_388])).
% 182.89/31.05 thf(c_0_390, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk38_2 @ X2 @ X3) @ X3)|((binintersect @ X2 @ X3)=(emptyset)))), inference(split_conjunct,[status(thm)],[c_0_385])).
% 182.89/31.05 thf(c_0_391, negated_conjecture, ![X2:$i]:((~((in @ X2 @ esk89_0))|((binintersect @ X2 @ esk89_0)!=(emptyset)))), inference(split_conjunct,[status(thm)],[c_0_385])).
% 182.89/31.05 thf(c_0_392, negated_conjecture, ![X2:$i]:(((binintersect @ (esk8_1 @ X2) @ X2)=(emptyset))), inference(spm,[status(thm)],[c_0_389, c_0_390])).
% 182.89/31.05 thf(c_0_393, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk8_1 @ X2) @ X2)|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_385])).
% 182.89/31.05 thf(c_0_394, negated_conjecture, ![X2:$i]:(((in @ (esk19_1 @ X2) @ X2)|((X2)=(emptyset)))), inference(split_conjunct,[status(thm)],[c_0_385])).
% 182.89/31.05 thf(c_0_395, negated_conjecture, ~((in @ (esk8_1 @ esk89_0) @ esk89_0)), inference(spm,[status(thm)],[c_0_391, c_0_392])).
% 182.89/31.05 thf(c_0_396, negated_conjecture, ![X2:$i]:((((X2)=(emptyset))|(in @ (esk8_1 @ X2) @ X2))), inference(spm,[status(thm)],[c_0_393, c_0_394])).
% 182.89/31.05 thf(c_0_397, negated_conjecture, ((esk89_0)!=(emptyset)), inference(split_conjunct,[status(thm)],[c_0_385])).
% 182.89/31.05 thf(c_0_398, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_395, c_0_396]), c_0_397]), ['proof']).
% 182.89/31.05 % SZS output end CNFRefutation
% 182.89/31.05 % Parsed axioms : 698
% 182.89/31.05 % Removed by relevancy pruning/SinE : 377
% 182.89/31.05 % Initial clauses : 530
% 182.89/31.05 % Removed in clause preprocessing : 41
% 182.89/31.05 % Initial clauses in saturation : 489
% 182.89/31.05 % Processed clauses : 1775
% 182.89/31.05 % ...of these trivial : 23
% 182.89/31.05 % ...subsumed : 438
% 182.89/31.05 % ...remaining for further processing : 1314
% 182.89/31.05 % Other redundant clauses eliminated : 112
% 182.89/31.05 % Clauses deleted for lack of memory : 0
% 182.89/31.05 % Backward-subsumed : 28
% 182.89/31.05 % Backward-rewritten : 26
% 182.89/31.05 % Generated clauses : 31028
% 182.89/31.05 % ...of the previous two non-redundant : 30252
% 182.89/31.05 % ...aggressively subsumed : 0
% 182.89/31.05 % Contextual simplify-reflections : 15
% 182.89/31.05 % Paramodulations : 30877
% 182.89/31.05 % Factorizations : 2
% 182.89/31.05 % NegExts : 2
% 182.89/31.05 % Equation resolutions : 119
% 182.89/31.05 % Disequality decompositions : 0
% 182.89/31.05 % Total rewrite steps : 1279
% 182.89/31.05 % ...of those cached : 1016
% 182.89/31.05 % Propositional unsat checks : 0
% 182.89/31.05 % Propositional check models : 0
% 182.89/31.05 % Propositional check unsatisfiable : 0
% 182.89/31.05 % Propositional clauses : 0
% 182.89/31.05 % Propositional clauses after purity: 0
% 182.89/31.05 % Propositional unsat core size : 0
% 182.89/31.05 % Propositional preprocessing time : 0.000
% 182.89/31.05 % Propositional encoding time : 0.000
% 182.89/31.05 % Propositional solver time : 0.000
% 182.89/31.05 % Success case prop preproc time : 0.000
% 182.89/31.05 % Success case prop encoding time : 0.000
% 182.89/31.05 % Success case prop solver time : 0.000
% 182.89/31.05 % Current number of processed clauses : 814
% 182.89/31.05 % Positive orientable unit clauses : 80
% 182.89/31.05 % Positive unorientable unit clauses: 0
% 182.89/31.05 % Negative unit clauses : 17
% 182.89/31.05 % Non-unit-clauses : 717
% 182.89/31.05 % Current number of unprocessed clauses: 29105
% 182.89/31.05 % ...number of literals in the above : 123506
% 182.89/31.05 % Current number of archived formulas : 0
% 182.89/31.05 % Current number of archived clauses : 479
% 182.89/31.05 % Clause-clause subsumption calls (NU) : 168629
% 182.89/31.05 % Rec. Clause-clause subsumption calls : 73640
% 182.89/31.05 % Non-unit clause-clause subsumptions : 284
% 182.89/31.05 % Unit Clause-clause subsumption calls : 2152
% 182.89/31.05 % Rewrite failures with RHS unbound : 0
% 182.89/31.05 % BW rewrite match attempts : 66
% 182.89/31.05 % BW rewrite match successes : 19
% 182.89/31.05 % Condensation attempts : 1775
% 182.89/31.05 % Condensation successes : 16
% 182.89/31.05 % Termbank termtop insertions : 631776
% 182.89/31.05 % Search garbage collected termcells : 34798
% 182.89/31.05
% 182.89/31.05 % -------------------------------------------------
% 182.89/31.05 % User time : 29.159 s
% 182.89/31.05 % System time : 1.010 s
% 182.89/31.05 % Total time : 30.169 s
% 182.89/31.05 % Maximum resident set size: 12632 pages
% 182.89/31.05
% 182.89/31.05 % -------------------------------------------------
% 182.89/31.05 % User time : 29.583 s
% 182.89/31.05 % System time : 1.140 s
% 182.89/31.05 % Total time : 30.723 s
% 182.89/31.05 % Maximum resident set size: 6144 pages
% 182.89/31.05 % E exiting
%------------------------------------------------------------------------------