%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU769^1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:25:33 AM UTC 2026
% Result : Theorem 1.79s 0.59s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU769^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 14:29:50 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.22/0.29 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p
% 1.79/0.59 % Version: 3.5.1-ho
% 1.79/0.59 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.79/0.59 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.79/0.59 % Starting ehoh_best5 with 300s (1) cores
% 1.79/0.59 % Starting almost_fo_3_lam with 300s (1) cores
% 1.79/0.59 % Starting new_bool_5 with 300s (1) cores
% 1.79/0.59 % Starting pre_casc_3 with 300s (1) cores
% 1.79/0.59 % Starting ho_unfolding_8 with 300s (1) cores
% 1.79/0.59 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.79/0.59 % Starting new_bool_3 with 300s (1) cores
% 1.79/0.59 % Starting new_ho_5 with 300s (1) cores
% 1.79/0.59 % new_ho_10_cnf2 with pid 1323351 completed with status 0
% 1.79/0.59 % Result found by new_ho_10_cnf2
% 1.79/0.59 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.79/0.59 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.79/0.59 % Starting ehoh_best5 with 300s (1) cores
% 1.79/0.59 % Starting almost_fo_3_lam with 300s (1) cores
% 1.79/0.59 % Starting new_bool_5 with 300s (1) cores
% 1.79/0.59 % Starting pre_casc_3 with 300s (1) cores
% 1.79/0.59 % Starting ho_unfolding_8 with 300s (1) cores
% 1.79/0.59 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.79/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.79/0.59 % No SInE strategy applied
% 1.79/0.59 % Search class: HGHSM-FSLM32-MHFMMSBN
% 1.79/0.59 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 1.79/0.59 % Starting SubtermCWHack with 31s (1) cores
% 1.79/0.59 % SubtermCWHack with pid 1323357 completed with status 0
% 1.79/0.59 % Result found by SubtermCWHack
% 1.79/0.59 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.79/0.59 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.79/0.59 % Starting ehoh_best5 with 300s (1) cores
% 1.79/0.59 % Starting almost_fo_3_lam with 300s (1) cores
% 1.79/0.59 % Starting new_bool_5 with 300s (1) cores
% 1.79/0.59 % Starting pre_casc_3 with 300s (1) cores
% 1.79/0.59 % Starting ho_unfolding_8 with 300s (1) cores
% 1.79/0.59 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.79/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.79/0.59 % No SInE strategy applied
% 1.79/0.59 % Search class: HGHSM-FSLM32-MHFMMSBN
% 1.79/0.59 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 1.79/0.59 % Starting SubtermCWHack with 31s (1) cores
% 1.79/0.59 % Preprocessing time : 0.005 s
% 1.79/0.59
% 1.79/0.59 % Proof found!
% 1.79/0.59 % SZS status Theorem
% 1.79/0.59 % SZS output start CNFRefutation
% 1.79/0.59 thf(decl_23, type, in: $i > $i > $o).
% 1.79/0.59 thf(decl_24, type, exu: ($i > $o) > $o).
% 1.79/0.59 thf(decl_25, type, setextAx: $o).
% 1.79/0.59 thf(decl_26, type, emptyset: $i).
% 1.79/0.59 thf(decl_27, type, emptysetAx: $o).
% 1.79/0.59 thf(decl_28, type, setadjoin: $i > $i > $i).
% 1.79/0.59 thf(decl_29, type, setadjoinAx: $o).
% 1.79/0.59 thf(decl_30, type, powerset: $i > $i).
% 1.79/0.59 thf(decl_31, type, powersetAx: $o).
% 1.79/0.59 thf(decl_32, type, setunion: $i > $i).
% 1.79/0.59 thf(decl_33, type, setunionAx: $o).
% 1.79/0.59 thf(decl_34, type, omega: $i).
% 1.79/0.59 thf(decl_35, type, omega0Ax: $o).
% 1.79/0.59 thf(decl_36, type, omegaSAx: $o).
% 1.79/0.59 thf(decl_37, type, omegaIndAx: $o).
% 1.79/0.59 thf(decl_38, type, replAx: $o).
% 1.79/0.59 thf(decl_39, type, foundationAx: $o).
% 1.79/0.59 thf(decl_40, type, wellorderingAx: $o).
% 1.79/0.59 thf(decl_41, type, descr: ($i > $o) > $i).
% 1.79/0.59 thf(decl_42, type, descrp: $o).
% 1.79/0.59 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_44, type, dsetconstrI: $o).
% 1.79/0.59 thf(decl_45, type, dsetconstrEL: $o).
% 1.79/0.59 thf(decl_46, type, dsetconstrER: $o).
% 1.79/0.59 thf(decl_47, type, exuE1: $o).
% 1.79/0.59 thf(decl_48, type, prop2set: $o > $i).
% 1.79/0.59 thf(decl_49, type, prop2setE: $o).
% 1.79/0.59 thf(decl_50, type, emptysetE: $o).
% 1.79/0.59 thf(decl_51, type, emptysetimpfalse: $o).
% 1.79/0.59 thf(decl_52, type, notinemptyset: $o).
% 1.79/0.59 thf(decl_53, type, exuE3e: $o).
% 1.79/0.59 thf(decl_54, type, setext: $o).
% 1.79/0.59 thf(decl_55, type, emptyI: $o).
% 1.79/0.59 thf(decl_56, type, noeltsimpempty: $o).
% 1.79/0.59 thf(decl_57, type, setbeta: $o).
% 1.79/0.59 thf(decl_58, type, nonempty: $i > $o).
% 1.79/0.59 thf(decl_59, type, nonemptyE1: $o).
% 1.79/0.59 thf(decl_60, type, nonemptyI: $o).
% 1.79/0.59 thf(decl_61, type, nonemptyI1: $o).
% 1.79/0.59 thf(decl_62, type, setadjoinIL: $o).
% 1.79/0.59 thf(decl_63, type, emptyinunitempty: $o).
% 1.79/0.59 thf(decl_64, type, setadjoinIR: $o).
% 1.79/0.59 thf(decl_65, type, setadjoinE: $o).
% 1.79/0.59 thf(decl_66, type, setadjoinOr: $o).
% 1.79/0.59 thf(decl_67, type, setoftrueEq: $o).
% 1.79/0.59 thf(decl_68, type, powersetI: $o).
% 1.79/0.59 thf(decl_69, type, emptyinPowerset: $o).
% 1.79/0.59 thf(decl_70, type, emptyInPowerset: $o).
% 1.79/0.59 thf(decl_71, type, powersetE: $o).
% 1.79/0.59 thf(decl_72, type, setunionI: $o).
% 1.79/0.59 thf(decl_73, type, setunionE: $o).
% 1.79/0.59 thf(decl_74, type, subPowSU: $o).
% 1.79/0.59 thf(decl_75, type, exuE2: $o).
% 1.79/0.59 thf(decl_76, type, nonemptyImpWitness: $o).
% 1.79/0.59 thf(decl_77, type, uniqinunit: $o).
% 1.79/0.59 thf(decl_78, type, notinsingleton: $o).
% 1.79/0.59 thf(decl_79, type, eqinunit: $o).
% 1.79/0.59 thf(decl_80, type, singletonsswitch: $o).
% 1.79/0.59 thf(decl_81, type, upairsetE: $o).
% 1.79/0.59 thf(decl_82, type, upairsetIL: $o).
% 1.79/0.59 thf(decl_83, type, upairsetIR: $o).
% 1.79/0.59 thf(decl_84, type, emptyE1: $o).
% 1.79/0.59 thf(decl_85, type, vacuousDall: $o).
% 1.79/0.59 thf(decl_86, type, quantDeMorgan1: $o).
% 1.79/0.59 thf(decl_87, type, quantDeMorgan2: $o).
% 1.79/0.59 thf(decl_88, type, quantDeMorgan3: $o).
% 1.79/0.59 thf(decl_89, type, quantDeMorgan4: $o).
% 1.79/0.59 thf(decl_90, type, prop2setI: $o).
% 1.79/0.59 thf(decl_91, type, set2prop: $i > $o).
% 1.79/0.59 thf(decl_92, type, prop2set2propI: $o).
% 1.79/0.59 thf(decl_93, type, notdexE: $o).
% 1.79/0.59 thf(decl_94, type, notdallE: $o).
% 1.79/0.59 thf(decl_95, type, exuI1: $o).
% 1.79/0.59 thf(decl_96, type, exuI3: $o).
% 1.79/0.59 thf(decl_97, type, exuI2: $o).
% 1.79/0.59 thf(decl_98, type, inCongP: $o).
% 1.79/0.59 thf(decl_99, type, in__Cong: $o).
% 1.79/0.59 thf(decl_100, type, exuE3u: $o).
% 1.79/0.59 thf(decl_101, type, exu__Cong: $o).
% 1.79/0.59 thf(decl_102, type, emptyset__Cong: $o).
% 1.79/0.59 thf(decl_103, type, setadjoin__Cong: $o).
% 1.79/0.59 thf(decl_104, type, powerset__Cong: $o).
% 1.79/0.59 thf(decl_105, type, setunion__Cong: $o).
% 1.79/0.59 thf(decl_106, type, omega__Cong: $o).
% 1.79/0.59 thf(decl_107, type, exuEu: $o).
% 1.79/0.59 thf(decl_108, type, descr__Cong: $o).
% 1.79/0.59 thf(decl_109, type, dsetconstr__Cong: $o).
% 1.79/0.59 thf(decl_110, type, subset: $i > $i > $o).
% 1.79/0.59 thf(decl_113, type, subsetI1: $o).
% 1.79/0.59 thf(decl_114, type, eqimpsubset2: $o).
% 1.79/0.59 thf(decl_115, type, eqimpsubset1: $o).
% 1.79/0.59 thf(decl_116, type, subsetI2: $o).
% 1.79/0.59 thf(decl_117, type, emptysetsubset: $o).
% 1.79/0.59 thf(decl_118, type, subsetE: $o).
% 1.79/0.59 thf(decl_119, type, subsetE2: $o).
% 1.79/0.59 thf(decl_120, type, notsubsetI: $o).
% 1.79/0.59 thf(decl_121, type, notequalI1: $o).
% 1.79/0.59 thf(decl_122, type, notequalI2: $o).
% 1.79/0.59 thf(decl_123, type, subsetRefl: $o).
% 1.79/0.59 thf(decl_124, type, subsetTrans: $o).
% 1.79/0.59 thf(decl_125, type, setadjoinSub: $o).
% 1.79/0.59 thf(decl_126, type, setadjoinSub2: $o).
% 1.79/0.59 thf(decl_127, type, subset2powerset: $o).
% 1.79/0.59 thf(decl_128, type, setextsub: $o).
% 1.79/0.59 thf(decl_129, type, subsetemptysetimpeq: $o).
% 1.79/0.59 thf(decl_130, type, powersetI1: $o).
% 1.79/0.59 thf(decl_131, type, powersetE1: $o).
% 1.79/0.59 thf(decl_132, type, inPowerset: $o).
% 1.79/0.59 thf(decl_133, type, powersetsubset: $o).
% 1.79/0.59 thf(decl_134, type, sepInPowerset: $o).
% 1.79/0.59 thf(decl_135, type, sepSubset: $o).
% 1.79/0.59 thf(decl_136, type, binunion: $i > $i > $i).
% 1.79/0.59 thf(decl_137, type, binunionIL: $o).
% 1.79/0.59 thf(decl_138, type, upairset2IR: $o).
% 1.79/0.59 thf(decl_139, type, binunionIR: $o).
% 1.79/0.59 thf(decl_140, type, binunionEcases: $o).
% 1.79/0.59 thf(decl_141, type, binunionE: $o).
% 1.79/0.59 thf(decl_142, type, binunionLsub: $o).
% 1.79/0.59 thf(decl_143, type, binunionRsub: $o).
% 1.79/0.59 thf(decl_144, type, binintersect: $i > $i > $i).
% 1.79/0.59 thf(decl_145, type, binintersectI: $o).
% 1.79/0.59 thf(decl_146, type, binintersectSubset5: $o).
% 1.79/0.59 thf(decl_147, type, binintersectEL: $o).
% 1.79/0.59 thf(decl_148, type, binintersectLsub: $o).
% 1.79/0.59 thf(decl_149, type, binintersectSubset2: $o).
% 1.79/0.59 thf(decl_150, type, binintersectSubset3: $o).
% 1.79/0.59 thf(decl_151, type, binintersectER: $o).
% 1.79/0.59 thf(decl_152, type, disjointsetsI1: $o).
% 1.79/0.59 thf(decl_153, type, binintersectRsub: $o).
% 1.79/0.59 thf(decl_154, type, binintersectSubset4: $o).
% 1.79/0.59 thf(decl_155, type, binintersectSubset1: $o).
% 1.79/0.59 thf(decl_156, type, bs114d: $o).
% 1.79/0.59 thf(decl_158, type, setminus: $i > $i > $i).
% 1.79/0.59 thf(decl_159, type, setminusI: $o).
% 1.79/0.59 thf(decl_160, type, setminusEL: $o).
% 1.79/0.59 thf(decl_161, type, setminusER: $o).
% 1.79/0.59 thf(decl_162, type, setminusSubset2: $o).
% 1.79/0.59 thf(decl_163, type, setminusERneg: $o).
% 1.79/0.59 thf(decl_164, type, setminusELneg: $o).
% 1.79/0.59 thf(decl_165, type, setminusILneg: $o).
% 1.79/0.59 thf(decl_166, type, setminusIRneg: $o).
% 1.79/0.59 thf(decl_167, type, setminusLsub: $o).
% 1.79/0.59 thf(decl_168, type, setminusSubset1: $o).
% 1.79/0.59 thf(decl_169, type, symdiff: $i > $i > $i).
% 1.79/0.59 thf(decl_170, type, symdiffE: $o).
% 1.79/0.59 thf(decl_171, type, symdiffI1: $o).
% 1.79/0.59 thf(decl_172, type, symdiffI2: $o).
% 1.79/0.59 thf(decl_173, type, symdiffIneg1: $o).
% 1.79/0.59 thf(decl_174, type, symdiffIneg2: $o).
% 1.79/0.59 thf(decl_175, type, iskpair: $i > $o).
% 1.79/0.59 thf(decl_176, type, secondinupair: $o).
% 1.79/0.59 thf(decl_177, type, setukpairIL: $o).
% 1.79/0.59 thf(decl_178, type, setukpairIR: $o).
% 1.79/0.59 thf(decl_179, type, kpairiskpair: $o).
% 1.79/0.59 thf(decl_180, type, kpair: $i > $i > $i).
% 1.79/0.59 thf(decl_181, type, kpairp: $o).
% 1.79/0.59 thf(decl_182, type, cartprod: $i > $i > $i).
% 1.79/0.59 thf(decl_183, type, singletonsubset: $o).
% 1.79/0.59 thf(decl_184, type, singletoninpowerset: $o).
% 1.79/0.59 thf(decl_185, type, singletoninpowunion: $o).
% 1.79/0.59 thf(decl_186, type, upairset2E: $o).
% 1.79/0.59 thf(decl_187, type, upairsubunion: $o).
% 1.79/0.59 thf(decl_188, type, upairinpowunion: $o).
% 1.79/0.59 thf(decl_189, type, ubforcartprodlem1: $o).
% 1.79/0.59 thf(decl_190, type, ubforcartprodlem2: $o).
% 1.79/0.59 thf(decl_191, type, ubforcartprodlem3: $o).
% 1.79/0.59 thf(decl_192, type, cartprodpairin: $o).
% 1.79/0.59 thf(decl_193, type, cartprodmempair1: $o).
% 1.79/0.59 thf(decl_194, type, cartprodmempair: $o).
% 1.79/0.59 thf(decl_195, type, setunionE2: $o).
% 1.79/0.59 thf(decl_196, type, setunionsingleton1: $o).
% 1.79/0.59 thf(decl_197, type, setunionsingleton2: $o).
% 1.79/0.59 thf(decl_198, type, setunionsingleton: $o).
% 1.79/0.59 thf(decl_199, type, singleton: $i > $o).
% 1.79/0.59 thf(decl_200, type, singletonprop: $o).
% 1.79/0.59 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 1.79/0.59 thf(decl_202, type, ex1E1: $o).
% 1.79/0.59 thf(decl_203, type, ex1I: $o).
% 1.79/0.59 thf(decl_204, type, ex1I2: $o).
% 1.79/0.59 thf(decl_205, type, singletonsuniq: $o).
% 1.79/0.59 thf(decl_210, type, setukpairinjL1: $o).
% 1.79/0.59 thf(decl_211, type, kfstsingleton: $o).
% 1.79/0.59 thf(decl_212, type, theprop: $o).
% 1.79/0.59 thf(decl_213, type, kfst: $i > $i).
% 1.79/0.59 thf(decl_214, type, kfstpairEq: $o).
% 1.79/0.59 thf(decl_215, type, cartprodfstin: $o).
% 1.79/0.59 thf(decl_216, type, setukpairinjL2: $o).
% 1.79/0.59 thf(decl_217, type, setukpairinjL: $o).
% 1.79/0.59 thf(decl_218, type, setukpairinjR11: $o).
% 1.79/0.59 thf(decl_219, type, setukpairinjR12: $o).
% 1.79/0.59 thf(decl_220, type, setukpairinjR1: $o).
% 1.79/0.59 thf(decl_221, type, upairequniteq: $o).
% 1.79/0.59 thf(decl_222, type, setukpairinjR2: $o).
% 1.79/0.59 thf(decl_223, type, setukpairinjR: $o).
% 1.79/0.59 thf(decl_224, type, ksndsingleton: $o).
% 1.79/0.59 thf(decl_225, type, ksnd: $i > $i).
% 1.79/0.59 thf(decl_226, type, ksndpairEq: $o).
% 1.79/0.59 thf(decl_227, type, kpairsurjEq: $o).
% 1.79/0.59 thf(decl_228, type, cartprodsndin: $o).
% 1.79/0.59 thf(decl_229, type, cartprodpairmemEL: $o).
% 1.79/0.59 thf(decl_230, type, cartprodpairmemER: $o).
% 1.79/0.59 thf(decl_231, type, cartprodmempaircEq: $o).
% 1.79/0.59 thf(decl_232, type, cartprodfstpairEq: $o).
% 1.79/0.59 thf(decl_233, type, cartprodsndpairEq: $o).
% 1.79/0.59 thf(decl_234, type, cartprodpairsurjEq: $o).
% 1.79/0.59 thf(decl_235, type, breln: $i > $i > $i > $o).
% 1.79/0.59 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 1.79/0.59 thf(decl_237, type, dpsetconstrI: $o).
% 1.79/0.59 thf(decl_238, type, dpsetconstrSub: $o).
% 1.79/0.59 thf(decl_239, type, setOfPairsIsBReln: $o).
% 1.79/0.59 thf(decl_240, type, dpsetconstrERa: $o).
% 1.79/0.59 thf(decl_241, type, dpsetconstrEL1: $o).
% 1.79/0.59 thf(decl_242, type, dpsetconstrEL2: $o).
% 1.79/0.59 thf(decl_243, type, dpsetconstrER: $o).
% 1.79/0.59 thf(decl_244, type, func: $i > $i > $i > $o).
% 1.79/0.59 thf(decl_245, type, funcSet: $i > $i > $i).
% 1.79/0.59 thf(decl_246, type, funcImageSingleton: $o).
% 1.79/0.59 thf(decl_247, type, apProp: $o).
% 1.79/0.59 thf(decl_248, type, ap: $i > $i > $i > $i > $i).
% 1.79/0.59 thf(decl_249, type, app: $o).
% 1.79/0.59 thf(decl_250, type, infuncsetfunc: $o).
% 1.79/0.59 thf(decl_251, type, ap2p: $o).
% 1.79/0.59 thf(decl_252, type, funcinfuncset: $o).
% 1.79/0.59 thf(decl_253, type, lamProp: $o).
% 1.79/0.59 thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
% 1.79/0.59 thf(decl_255, type, lamp: $o).
% 1.79/0.59 thf(decl_256, type, lam2p: $o).
% 1.79/0.59 thf(decl_257, type, brelnall1: $o).
% 1.79/0.59 thf(decl_258, type, brelnall2: $o).
% 1.79/0.59 thf(decl_259, type, ex1E2: $o).
% 1.79/0.59 thf(decl_260, type, funcGraphProp1: $o).
% 1.79/0.59 thf(decl_261, type, funcGraphProp3: $o).
% 1.79/0.59 thf(decl_262, type, funcGraphProp2: $o).
% 1.79/0.59 thf(decl_263, type, funcextLem: $o).
% 1.79/0.59 thf(decl_264, type, funcGraphProp4: $o).
% 1.79/0.59 thf(decl_265, type, subbreln: $o).
% 1.79/0.59 thf(decl_266, type, eqbreln: $o).
% 1.79/0.59 thf(decl_267, type, funcext: $o).
% 1.79/0.59 thf(decl_268, type, funcext2: $o).
% 1.79/0.59 thf(decl_269, type, ap2apEq1: $o).
% 1.79/0.59 thf(decl_270, type, ap2apEq2: $o).
% 1.79/0.59 thf(decl_271, type, beta1: $o).
% 1.79/0.59 thf(decl_272, type, eta1: $o).
% 1.79/0.59 thf(decl_273, type, lam2lamEq: $o).
% 1.79/0.59 thf(decl_274, type, beta2: $o).
% 1.79/0.59 thf(decl_275, type, eta2: $o).
% 1.79/0.59 thf(decl_276, type, iffalseProp1: $o).
% 1.79/0.59 thf(decl_277, type, iffalseProp2: $o).
% 1.79/0.59 thf(decl_278, type, iftrueProp1: $o).
% 1.79/0.59 thf(decl_279, type, iftrueProp2: $o).
% 1.79/0.59 thf(decl_280, type, ifSingleton: $o).
% 1.79/0.59 thf(decl_281, type, if: $i > $o > $i > $i > $i).
% 1.79/0.59 thf(decl_282, type, ifp: $o).
% 1.79/0.59 thf(decl_283, type, theeq: $o).
% 1.79/0.59 thf(decl_284, type, iftrue: $o).
% 1.79/0.59 thf(decl_285, type, iffalse: $o).
% 1.79/0.59 thf(decl_286, type, iftrueorfalse: $o).
% 1.79/0.59 thf(decl_287, type, binintersectT_lem: $o).
% 1.79/0.59 thf(decl_288, type, binunionT_lem: $o).
% 1.79/0.59 thf(decl_289, type, powersetT_lem: $o).
% 1.79/0.59 thf(decl_290, type, setminusT_lem: $o).
% 1.79/0.59 thf(decl_291, type, complementT_lem: $o).
% 1.79/0.59 thf(decl_292, type, setextT: $o).
% 1.79/0.59 thf(decl_293, type, subsetTI: $o).
% 1.79/0.59 thf(decl_294, type, powersetTI1: $o).
% 1.79/0.59 thf(decl_295, type, powersetTE1: $o).
% 1.79/0.59 thf(decl_296, type, complementTI1: $o).
% 1.79/0.59 thf(decl_297, type, complementTE1: $o).
% 1.79/0.59 thf(decl_298, type, binintersectTELcontra: $o).
% 1.79/0.59 thf(decl_299, type, binintersectTERcontra: $o).
% 1.79/0.59 thf(decl_300, type, contrasubsetT: $o).
% 1.79/0.59 thf(decl_301, type, contrasubsetT1: $o).
% 1.79/0.59 thf(decl_302, type, contrasubsetT2: $o).
% 1.79/0.59 thf(decl_303, type, contrasubsetT3: $o).
% 1.79/0.59 thf(decl_304, type, doubleComplementI1: $o).
% 1.79/0.59 thf(decl_305, type, doubleComplementE1: $o).
% 1.79/0.59 thf(decl_306, type, doubleComplementSub1: $o).
% 1.79/0.59 thf(decl_307, type, doubleComplementSub2: $o).
% 1.79/0.59 thf(decl_308, type, doubleComplementEq: $o).
% 1.79/0.59 thf(decl_309, type, complementTnotintersectT: $o).
% 1.79/0.59 thf(decl_310, type, complementImpComplementIntersect: $o).
% 1.79/0.59 thf(decl_311, type, complementSubsetComplementIntersect: $o).
% 1.79/0.59 thf(decl_312, type, complementInPowersetComplementIntersect: $o).
% 1.79/0.59 thf(decl_313, type, contraSubsetComplement: $o).
% 1.79/0.59 thf(decl_314, type, complementTcontraSubset: $o).
% 1.79/0.59 thf(decl_315, type, binunionTILcontra: $o).
% 1.79/0.59 thf(decl_316, type, binunionTIRcontra: $o).
% 1.79/0.59 thf(decl_317, type, inIntersectImpInUnion: $o).
% 1.79/0.59 thf(decl_318, type, inIntersectImpInUnion2: $o).
% 1.79/0.59 thf(decl_319, type, inIntersectImpInIntersectUnions: $o).
% 1.79/0.59 thf(decl_320, type, intersectInPowersetIntersectUnions: $o).
% 1.79/0.59 thf(decl_321, type, inComplementUnionImpNotIn1: $o).
% 1.79/0.59 thf(decl_322, type, inComplementUnionImpInComplement1: $o).
% 1.79/0.59 thf(decl_323, type, binunionTE: $o).
% 1.79/0.59 thf(decl_324, type, binunionTEcontra: $o).
% 1.79/0.59 thf(decl_325, type, demorgan2a1: $o).
% 1.79/0.59 thf(decl_326, type, complementUnionInPowersetComplement: $o).
% 1.79/0.59 thf(decl_327, type, demorgan2a2: $o).
% 1.79/0.59 thf(decl_328, type, demorgan1a: $o).
% 1.79/0.59 thf(decl_329, type, demorgan1b: $o).
% 1.79/0.59 thf(decl_330, type, demorgan1: $o).
% 1.79/0.59 thf(decl_331, type, demorgan2a: $o).
% 1.79/0.59 thf(decl_332, type, demorgan2b2: $o).
% 1.79/0.59 thf(decl_333, type, demorgan2b: $o).
% 1.79/0.59 thf(decl_334, type, demorgan2: $o).
% 1.79/0.59 thf(decl_335, type, woz13rule0: $o).
% 1.79/0.59 thf(decl_336, type, woz13rule1: $o).
% 1.79/0.59 thf(decl_337, type, woz13rule2: $o).
% 1.79/0.59 thf(decl_338, type, woz13rule3: $o).
% 1.79/0.59 thf(decl_339, type, woz13rule4: $o).
% 1.79/0.59 thf(decl_340, type, woz1_1: $o).
% 1.79/0.59 thf(decl_341, type, woz1_2: $o).
% 1.79/0.59 thf(decl_342, type, woz1_3: $o).
% 1.79/0.59 thf(decl_343, type, woz1_4: $o).
% 1.79/0.59 thf(decl_344, type, woz1_5: $o).
% 1.79/0.59 thf(decl_345, type, breln1: $i > $i > $o).
% 1.79/0.59 thf(decl_346, type, breln1all2: $o).
% 1.79/0.59 thf(decl_347, type, breln1Set: $i > $i).
% 1.79/0.59 thf(decl_348, type, epred1_0: $o).
% 1.79/0.59 thf(decl_349, type, esk1_2: $i > $i > $i).
% 1.79/0.59 thf(decl_350, type, esk2_2: $i > $i > $i).
% 1.79/0.59 thf(decl_351, type, esk3_2: $i > $i > $i).
% 1.79/0.59 thf(decl_352, type, esk4_1: $i > $i).
% 1.79/0.59 thf(decl_353, type, esk5_2: ($i > $i > $o) > $i > $i).
% 1.79/0.59 thf(decl_354, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 1.79/0.59 thf(decl_355, type, esk7_2: ($i > $i > $o) > $i > $i).
% 1.79/0.59 thf(decl_356, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 1.79/0.59 thf(decl_357, type, esk9_1: $i > $i).
% 1.79/0.59 thf(decl_358, type, esk10_2: ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_359, type, esk11_2: ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_360, type, esk12_1: ($i > $o) > $i).
% 1.79/0.59 thf(decl_361, type, esk13_2: ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_362, type, esk14_1: ($i > $o) > $i).
% 1.79/0.59 thf(decl_363, type, esk15_2: $i > $i > $i).
% 1.79/0.59 thf(decl_364, type, esk16_2: $i > $i > $i).
% 1.79/0.59 thf(decl_365, type, esk17_1: $i > $i).
% 1.79/0.59 thf(decl_366, type, esk18_1: $i > $i).
% 1.79/0.59 thf(decl_367, type, esk19_1: $i > $i).
% 1.79/0.59 thf(decl_368, type, esk20_2: $i > $i > $i).
% 1.79/0.59 thf(decl_369, type, esk21_3: $i > $i > $o > $i).
% 1.79/0.59 thf(decl_370, type, esk22_2: ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_371, type, esk23_1: ($i > $o) > $i).
% 1.79/0.59 thf(decl_372, type, esk24_1: $i > $i).
% 1.79/0.59 thf(decl_373, type, esk25_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_374, type, esk26_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_375, type, esk27_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_376, type, esk28_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_377, type, esk29_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_378, type, esk30_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_379, type, esk31_2: ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_380, type, esk32_1: ($i > $o) > $i).
% 1.79/0.59 thf(decl_381, type, esk33_1: ($i > $o) > $i).
% 1.79/0.59 thf(decl_382, type, esk34_1: ($i > $o) > $i).
% 1.79/0.59 thf(decl_383, type, esk35_1: ($i > $o) > $i).
% 1.79/0.59 thf(decl_384, type, esk36_2: ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_385, type, esk37_1: ($i > $o) > $i).
% 1.79/0.59 thf(decl_386, type, esk38_2: ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_387, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 1.79/0.59 thf(decl_388, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 1.79/0.59 thf(decl_389, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_390, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 1.79/0.59 thf(decl_391, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_392, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 1.79/0.59 thf(decl_393, type, esk45_2: ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_394, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 1.79/0.59 thf(decl_395, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 1.79/0.59 thf(decl_396, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_397, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_398, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.79/0.59 thf(decl_399, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.79/0.59 thf(decl_400, type, esk52_2: $i > $i > $i).
% 1.79/0.59 thf(decl_401, type, esk53_2: $i > $i > $i).
% 1.79/0.59 thf(decl_402, type, esk54_2: $i > $i > $i).
% 1.79/0.59 thf(decl_403, type, esk55_3: $i > $i > $i > $i).
% 1.79/0.59 thf(decl_404, type, esk56_3: $i > $i > $i > $i).
% 1.79/0.59 thf(decl_405, type, esk57_2: $i > $i > $i).
% 1.79/0.59 thf(decl_406, type, esk58_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_407, type, esk59_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_408, type, esk60_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_409, type, esk61_3: $i > ($i > $o) > $i > $i).
% 1.79/0.59 thf(decl_410, type, esk62_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_411, type, esk63_2: $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_412, type, esk64_3: $i > $i > ($i > $i) > $i).
% 1.79/0.59 thf(decl_413, type, esk65_3: $i > $i > ($i > $i) > $i).
% 1.79/0.59 thf(decl_414, type, esk66_3: $i > $i > ($i > $i) > $i).
% 1.79/0.59 thf(decl_415, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_416, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_417, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_418, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_419, type, esk71_4: $i > $i > $i > $i > $i).
% 1.79/0.59 thf(decl_420, type, esk72_4: $i > $i > $i > $i > $i).
% 1.79/0.59 thf(decl_421, type, esk73_4: $i > $i > $i > $i > $i).
% 1.79/0.59 thf(decl_422, type, esk74_4: $i > $i > $i > $i > $i).
% 1.79/0.59 thf(decl_423, type, esk75_4: $i > $i > $i > $i > $i).
% 1.79/0.59 thf(decl_424, type, esk76_4: $i > $i > $i > $i > $i).
% 1.79/0.59 thf(decl_425, type, esk77_4: $i > $i > $i > $i > $i).
% 1.79/0.59 thf(decl_426, type, esk78_4: $i > $i > $i > $i > $i).
% 1.79/0.59 thf(decl_427, type, esk79_4: $i > $i > $i > $i > $i).
% 1.79/0.59 thf(decl_428, type, esk80_3: $i > $i > ($i > $i) > $i).
% 1.79/0.59 thf(decl_429, type, esk81_3: $i > $i > ($i > $i) > $i).
% 1.79/0.59 thf(decl_430, type, esk82_3: $i > $i > ($i > $i) > $i).
% 1.79/0.59 thf(decl_431, type, esk83_3: $i > $i > $i > $i).
% 1.79/0.59 thf(decl_432, type, esk84_3: $i > $i > $i > $i).
% 1.79/0.59 thf(decl_433, type, esk85_3: $i > $i > $i > $i).
% 1.79/0.59 thf(decl_434, type, esk86_3: $i > $i > $i > $i).
% 1.79/0.59 thf(decl_435, type, esk87_3: $i > $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_436, type, esk88_3: $i > $i > ($i > $o) > $i).
% 1.79/0.59 thf(decl_437, type, esk89_0: $i).
% 1.79/0.59 thf(decl_438, type, esk90_0: $i).
% 1.79/0.59 thf(decl_444, type, epred2_1: $i > $i > $o).
% 1.79/0.59 thf(breln1, axiom, ((breln1)=(^[X4:$i, X33:$i]:((breln @ X4 @ X4 @ X33)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', breln1)).
% 1.79/0.59 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', breln)).
% 1.79/0.59 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', replAx)).
% 1.79/0.59 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', exu)).
% 1.79/0.59 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', descrp)).
% 1.79/0.59 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', exuE1)).
% 1.79/0.59 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', exuE3e)).
% 1.79/0.59 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', nonempty)).
% 1.79/0.59 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', nonemptyI)).
% 1.79/0.59 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', exuE2)).
% 1.79/0.59 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', exuI1)).
% 1.79/0.59 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', exuI3)).
% 1.79/0.59 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', exuI2)).
% 1.79/0.59 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', exuE3u)).
% 1.79/0.59 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', exu__Cong)).
% 1.79/0.59 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', exuEu)).
% 1.79/0.59 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', descr__Cong)).
% 1.79/0.59 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ex1E1)).
% 1.79/0.59 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ex1)).
% 1.79/0.59 thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ex1I)).
% 1.79/0.59 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ex1I2)).
% 1.79/0.59 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setOfPairsIsBReln)).
% 1.79/0.59 thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ex1E2)).
% 1.79/0.59 thf(breln1SetBreln1, 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)=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', breln1SetBreln1)).
% 1.79/0.59 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', dsetconstrI)).
% 1.79/0.59 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', dsetconstrEL)).
% 1.79/0.59 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', dsetconstrER)).
% 1.79/0.59 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setbeta)).
% 1.79/0.59 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', nonemptyE1)).
% 1.79/0.59 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', nonemptyI1)).
% 1.79/0.59 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setoftrueEq)).
% 1.79/0.59 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', nonemptyImpWitness)).
% 1.79/0.59 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', emptyE1)).
% 1.79/0.59 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', dsetconstr__Cong)).
% 1.79/0.59 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', sepInPowerset)).
% 1.79/0.59 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', sepSubset)).
% 1.79/0.59 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', singletonprop)).
% 1.79/0.59 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', kfstsingleton)).
% 1.79/0.59 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ksndsingleton)).
% 1.79/0.59 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', dpsetconstrI)).
% 1.79/0.59 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', dpsetconstrSub)).
% 1.79/0.59 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', dpsetconstrERa)).
% 1.79/0.59 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', dpsetconstrEL1)).
% 1.79/0.59 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', dpsetconstrEL2)).
% 1.79/0.59 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', dpsetconstrER)).
% 1.79/0.59 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', funcImageSingleton)).
% 1.79/0.59 thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', apProp)).
% 1.79/0.59 thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', lamProp)).
% 1.79/0.59 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', lamp)).
% 1.79/0.59 thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', lam2p)).
% 1.79/0.59 thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', brelnall1)).
% 1.79/0.59 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', brelnall2)).
% 1.79/0.59 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subbreln)).
% 1.79/0.59 thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', eqbreln)).
% 1.79/0.59 thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', beta1)).
% 1.79/0.59 thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', eta1)).
% 1.79/0.59 thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', lam2lamEq)).
% 1.79/0.59 thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', beta2)).
% 1.79/0.59 thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', eta2)).
% 1.79/0.59 thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X39))&(((X14)=(X2)))))|(((~((X39)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', iffalseProp1)).
% 1.79/0.59 thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X40))&(((X14)=(X2)))))|(((~((X40)))&(((X14)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', iffalseProp2)).
% 1.79/0.59 thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X41))&(((X14)=(X2)))))|(((~((X41)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', iftrueProp1)).
% 1.79/0.59 thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X42))&(((X14)=(X2)))))|(((~((X42)))&(((X14)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', iftrueProp2)).
% 1.79/0.59 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X43))&(((X14)=(X2)))))|(((~((X43)))&(((X14)=(X3))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ifSingleton)).
% 1.79/0.59 thf(breln1all2, axiom, ((breln1all2)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', breln1all2)).
% 1.79/0.59 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setextAx)).
% 1.79/0.59 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', emptysetAx)).
% 1.79/0.59 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setadjoinAx)).
% 1.79/0.59 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', powersetAx)).
% 1.79/0.59 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setunionAx)).
% 1.79/0.59 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', omega0Ax)).
% 1.79/0.59 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', omegaSAx)).
% 1.79/0.59 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', omegaIndAx)).
% 1.79/0.59 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', foundationAx)).
% 1.79/0.59 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', wellorderingAx)).
% 1.79/0.59 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', prop2setE)).
% 1.79/0.59 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', emptysetE)).
% 1.79/0.59 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', emptysetimpfalse)).
% 1.79/0.59 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', notinemptyset)).
% 1.79/0.59 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setext)).
% 1.79/0.59 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', emptyI)).
% 1.79/0.59 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', noeltsimpempty)).
% 1.79/0.59 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setadjoinIL)).
% 1.79/0.59 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', emptyinunitempty)).
% 1.79/0.59 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setadjoinIR)).
% 1.79/0.59 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setadjoinE)).
% 1.79/0.59 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setadjoinOr)).
% 1.79/0.59 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', powersetI)).
% 1.79/0.59 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', emptyinPowerset)).
% 1.79/0.59 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', emptyInPowerset)).
% 1.79/0.59 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', powersetE)).
% 1.79/0.59 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setunionI)).
% 1.79/0.59 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setunionE)).
% 1.79/0.59 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subPowSU)).
% 1.79/0.59 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', uniqinunit)).
% 1.79/0.59 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', notinsingleton)).
% 1.79/0.59 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', eqinunit)).
% 1.79/0.59 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', singletonsswitch)).
% 1.79/0.59 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', upairsetE)).
% 1.79/0.59 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', upairsetIL)).
% 1.79/0.59 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', upairsetIR)).
% 1.79/0.59 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', vacuousDall)).
% 1.79/0.59 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', quantDeMorgan1)).
% 1.79/0.59 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', quantDeMorgan2)).
% 1.79/0.59 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', quantDeMorgan3)).
% 1.79/0.59 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', quantDeMorgan4)).
% 1.79/0.59 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', prop2setI)).
% 1.79/0.59 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', prop2set2propI)).
% 1.79/0.59 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', notdexE)).
% 1.79/0.59 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', notdallE)).
% 1.79/0.59 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', inCongP)).
% 1.79/0.59 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', in__Cong)).
% 1.79/0.59 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', emptyset__Cong)).
% 1.79/0.59 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setadjoin__Cong)).
% 1.79/0.59 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', powerset__Cong)).
% 1.79/0.59 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setunion__Cong)).
% 1.79/0.59 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', omega__Cong)).
% 1.79/0.59 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subsetI1)).
% 1.79/0.59 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', eqimpsubset2)).
% 1.79/0.59 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', eqimpsubset1)).
% 1.79/0.59 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subsetI2)).
% 1.79/0.59 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', emptysetsubset)).
% 1.79/0.59 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subsetE)).
% 1.79/0.59 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subsetE2)).
% 1.79/0.59 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', notsubsetI)).
% 1.79/0.59 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', notequalI1)).
% 1.79/0.59 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', notequalI2)).
% 1.79/0.59 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subsetRefl)).
% 1.79/0.59 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subsetTrans)).
% 1.79/0.59 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setadjoinSub)).
% 1.79/0.59 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setadjoinSub2)).
% 1.79/0.59 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subset2powerset)).
% 1.79/0.59 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setextsub)).
% 1.79/0.59 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subsetemptysetimpeq)).
% 1.79/0.59 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', powersetI1)).
% 1.79/0.59 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', powersetE1)).
% 1.79/0.59 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', inPowerset)).
% 1.79/0.59 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', powersetsubset)).
% 1.79/0.59 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionIL)).
% 1.79/0.59 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', upairset2IR)).
% 1.79/0.59 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionIR)).
% 1.79/0.59 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionEcases)).
% 1.79/0.59 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionE)).
% 1.79/0.59 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionLsub)).
% 1.79/0.59 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionRsub)).
% 1.79/0.59 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectI)).
% 1.79/0.59 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectSubset5)).
% 1.79/0.59 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectEL)).
% 1.79/0.59 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectLsub)).
% 1.79/0.59 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectSubset2)).
% 1.79/0.59 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectSubset3)).
% 1.79/0.59 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectER)).
% 1.79/0.59 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', disjointsetsI1)).
% 1.79/0.59 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectRsub)).
% 1.79/0.59 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectSubset4)).
% 1.79/0.59 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectSubset1)).
% 1.79/0.59 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', bs114d)).
% 1.79/0.59 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusI)).
% 1.79/0.59 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusEL)).
% 1.79/0.59 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusER)).
% 1.79/0.59 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusSubset2)).
% 1.79/0.59 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusERneg)).
% 1.79/0.59 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusELneg)).
% 1.79/0.59 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusILneg)).
% 1.79/0.59 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusIRneg)).
% 1.79/0.59 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusLsub)).
% 1.79/0.59 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusSubset1)).
% 1.79/0.59 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', symdiffE)).
% 1.79/0.59 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', symdiffI1)).
% 1.79/0.59 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', symdiffI2)).
% 1.79/0.59 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', symdiffIneg1)).
% 1.79/0.59 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', symdiffIneg2)).
% 1.79/0.59 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', secondinupair)).
% 1.79/0.59 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setukpairIL)).
% 1.79/0.59 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setukpairIR)).
% 1.79/0.59 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', kpairiskpair)).
% 1.79/0.59 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', kpairp)).
% 1.79/0.59 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', singletonsubset)).
% 1.79/0.59 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', singletoninpowerset)).
% 1.79/0.59 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', singletoninpowunion)).
% 1.79/0.59 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', upairset2E)).
% 1.79/0.59 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', upairsubunion)).
% 1.79/0.59 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', upairinpowunion)).
% 1.79/0.59 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ubforcartprodlem1)).
% 1.79/0.59 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ubforcartprodlem2)).
% 1.79/0.59 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ubforcartprodlem3)).
% 1.79/0.59 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodpairin)).
% 1.79/0.59 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodmempair1)).
% 1.79/0.59 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodmempair)).
% 1.79/0.59 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setunionE2)).
% 1.79/0.59 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setunionsingleton1)).
% 1.79/0.59 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setunionsingleton2)).
% 1.79/0.59 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setunionsingleton)).
% 1.79/0.59 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', singletonsuniq)).
% 1.79/0.59 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setukpairinjL1)).
% 1.79/0.59 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', theprop)).
% 1.79/0.59 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', kfstpairEq)).
% 1.79/0.59 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodfstin)).
% 1.79/0.59 thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setukpairinjL2)).
% 1.79/0.59 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setukpairinjL)).
% 1.79/0.59 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setukpairinjR11)).
% 1.79/0.59 thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setukpairinjR12)).
% 1.79/0.59 thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setukpairinjR1)).
% 1.79/0.59 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', upairequniteq)).
% 1.79/0.59 thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setukpairinjR2)).
% 1.79/0.59 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setukpairinjR)).
% 1.79/0.59 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ksndpairEq)).
% 1.79/0.59 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', kpairsurjEq)).
% 1.79/0.59 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodsndin)).
% 1.79/0.59 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodpairmemEL)).
% 1.79/0.59 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodpairmemER)).
% 1.79/0.59 thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodmempaircEq)).
% 1.79/0.59 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodfstpairEq)).
% 1.79/0.59 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodsndpairEq)).
% 1.79/0.59 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', cartprodpairsurjEq)).
% 1.79/0.59 thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', app)).
% 1.79/0.59 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', infuncsetfunc)).
% 1.79/0.59 thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ap2p)).
% 1.79/0.59 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', funcinfuncset)).
% 1.79/0.59 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', funcGraphProp1)).
% 1.79/0.59 thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', funcGraphProp3)).
% 1.79/0.59 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', funcGraphProp2)).
% 1.79/0.59 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', funcextLem)).
% 1.79/0.59 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', funcGraphProp4)).
% 1.79/0.59 thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', funcext)).
% 1.79/0.59 thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', funcext2)).
% 1.79/0.59 thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ap2apEq1)).
% 1.79/0.59 thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ap2apEq2)).
% 1.79/0.59 thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', ifp)).
% 1.79/0.59 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', theeq)).
% 1.79/0.59 thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', iftrue)).
% 1.79/0.59 thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', iffalse)).
% 1.79/0.59 thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', iftrueorfalse)).
% 1.79/0.59 thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectT_lem)).
% 1.79/0.59 thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionT_lem)).
% 1.79/0.59 thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', powersetT_lem)).
% 1.79/0.59 thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setminusT_lem)).
% 1.79/0.59 thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', complementT_lem)).
% 1.79/0.59 thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', setextT)).
% 1.79/0.59 thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', subsetTI)).
% 1.79/0.59 thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', powersetTI1)).
% 1.79/0.59 thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', powersetTE1)).
% 1.79/0.59 thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', complementTI1)).
% 1.79/0.59 thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', complementTE1)).
% 1.79/0.59 thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectTELcontra)).
% 1.79/0.59 thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binintersectTERcontra)).
% 1.79/0.59 thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', contrasubsetT)).
% 1.79/0.59 thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', contrasubsetT1)).
% 1.79/0.59 thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', contrasubsetT2)).
% 1.79/0.59 thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', contrasubsetT3)).
% 1.79/0.59 thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', doubleComplementI1)).
% 1.79/0.59 thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', doubleComplementE1)).
% 1.79/0.59 thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', doubleComplementSub1)).
% 1.79/0.59 thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', doubleComplementSub2)).
% 1.79/0.59 thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', doubleComplementEq)).
% 1.79/0.59 thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', complementTnotintersectT)).
% 1.79/0.59 thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', complementImpComplementIntersect)).
% 1.79/0.59 thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', complementSubsetComplementIntersect)).
% 1.79/0.59 thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', complementInPowersetComplementIntersect)).
% 1.79/0.59 thf(contraSubsetComplement, axiom, ((contraSubsetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ (setminus @ X4 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', contraSubsetComplement)).
% 1.79/0.59 thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', complementTcontraSubset)).
% 1.79/0.59 thf(binunionTILcontra, axiom, ((binunionTILcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionTILcontra)).
% 1.79/0.59 thf(binunionTIRcontra, axiom, ((binunionTIRcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionTIRcontra)).
% 1.79/0.59 thf(inIntersectImpInUnion, axiom, ((inIntersectImpInUnion)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X21 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', inIntersectImpInUnion)).
% 1.79/0.59 thf(inIntersectImpInUnion2, axiom, ((inIntersectImpInUnion2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X48 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', inIntersectImpInUnion2)).
% 1.79/0.59 thf(inIntersectImpInIntersectUnions, axiom, ((inIntersectImpInIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', inIntersectImpInIntersectUnions)).
% 1.79/0.59 thf(intersectInPowersetIntersectUnions, axiom, ((intersectInPowersetIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', intersectInPowersetIntersectUnions)).
% 1.79/0.59 thf(inComplementUnionImpNotIn1, axiom, ((inComplementUnionImpNotIn1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', inComplementUnionImpNotIn1)).
% 1.79/0.59 thf(inComplementUnionImpInComplement1, axiom, ((inComplementUnionImpInComplement1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', inComplementUnionImpInComplement1)).
% 1.79/0.59 thf(binunionTE, axiom, ((binunionTE)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X50:$o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ X21 @ X48))=>(((in @ X2 @ X21)=>(X50))=>(((in @ X2 @ X48)=>(X50))=>(X50))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionTE)).
% 1.79/0.59 thf(binunionTEcontra, axiom, ((binunionTEcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', binunionTEcontra)).
% 1.79/0.59 thf(demorgan2a1, axiom, ((demorgan2a1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', demorgan2a1)).
% 1.79/0.59 thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', complementUnionInPowersetComplement)).
% 1.79/0.59 thf(demorgan2a2, axiom, ((demorgan2a2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', demorgan2a2)).
% 1.79/0.59 thf(demorgan1a, axiom, ((demorgan1a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48)))=>(in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', demorgan1a)).
% 1.79/0.59 thf(demorgan1b, axiom, ((demorgan1b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', demorgan1b)).
% 1.79/0.59 thf(demorgan1, axiom, ((demorgan1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ X21 @ X48))=(binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', demorgan1)).
% 1.79/0.59 thf(demorgan2a, axiom, ((demorgan2a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', demorgan2a)).
% 1.79/0.59 thf(demorgan2b2, axiom, ((demorgan2b2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>((in @ X2 @ (setminus @ X4 @ X48))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', demorgan2b2)).
% 1.79/0.59 thf(demorgan2b, axiom, ((demorgan2b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', demorgan2b)).
% 1.79/0.59 thf(demorgan2, axiom, ((demorgan2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binunion @ X21 @ X48))=(binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', demorgan2)).
% 1.79/0.59 thf(woz13rule0, axiom, ((woz13rule0)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ X4)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', woz13rule0)).
% 1.79/0.59 thf(woz13rule1, axiom, ((woz13rule1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', woz13rule1)).
% 1.79/0.59 thf(woz13rule2, axiom, ((woz13rule2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X48 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', woz13rule2)).
% 1.79/0.59 thf(woz13rule3, axiom, ((woz13rule3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', woz13rule3)).
% 1.79/0.59 thf(woz13rule4, axiom, ((woz13rule4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((subset @ X21 @ X49)=>((subset @ X48 @ X51)=>(subset @ (binintersect @ X21 @ X48) @ (binintersect @ X49 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', woz13rule4)).
% 1.79/0.59 thf(woz1_1, axiom, ((woz1_1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', woz1_1)).
% 1.79/0.59 thf(woz1_2, axiom, ((woz1_2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ (binunion @ X21 @ X48) @ (binunion @ X49 @ X51)))=(binunion @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)) @ (binintersect @ (setminus @ X4 @ X49) @ (setminus @ X4 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', woz1_2)).
% 1.79/0.59 thf(woz1_3, axiom, ((woz1_3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', woz1_3)).
% 1.79/0.59 thf(woz1_4, axiom, ((woz1_4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', woz1_4)).
% 1.79/0.59 thf(woz1_5, axiom, ((woz1_5)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', woz1_5)).
% 1.79/0.59 thf(breln1Set, axiom, ((breln1Set)=(^[X4:$i]:(dsetconstr @ (powerset @ (cartprod @ X4 @ X4)) @ (^[X33:$i]:((breln1 @ X4 @ X33)))))), file('/export/starexec/sandbox2/tmp/tmp.a9g382cIIX/E---3.1_1323333.p', breln1Set)).
% 1.79/0.59 thf(c_0_292, plain, ((breln1)=(^[Z0:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(fof_simplification,[status(thm)],[breln1])).
% 1.79/0.59 thf(c_0_293, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
% 1.79/0.59 thf(c_0_294, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 1.79/0.59 thf(c_0_295, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 1.79/0.59 thf(c_0_296, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 1.79/0.59 thf(c_0_297, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 1.79/0.59 thf(c_0_298, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 1.79/0.59 thf(c_0_299, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 1.79/0.59 thf(c_0_300, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 1.79/0.59 thf(c_0_301, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 1.79/0.59 thf(c_0_302, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 1.79/0.59 thf(c_0_303, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 1.79/0.59 thf(c_0_304, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 1.79/0.59 thf(c_0_305, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 1.79/0.59 thf(c_0_306, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 1.79/0.59 thf(c_0_307, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 1.79/0.59 thf(c_0_308, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 1.79/0.59 thf(c_0_309, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 1.79/0.59 thf(c_0_310, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((singleton @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2)))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 1.79/0.59 thf(c_0_311, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
% 1.79/0.59 thf(c_0_312, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 1.79/0.59 thf(c_0_313, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 1.79/0.59 thf(c_0_314, plain, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[ex1E2])).
% 1.79/0.59 thf(c_0_315, plain, ((breln1)=(^[Z0:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(apply_def,[status(thm)],[c_0_292, c_0_293])).
% 1.79/0.59 thf(c_0_316, 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)=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[breln1SetBreln1])).
% 1.79/0.59 thf(c_0_317, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X967:$i]:(((((X6 @ X2 @ X967)))&(![X968:$i]:(((((X6 @ X2 @ X968)))=>(((X967)=(X968)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_294, c_0_295])).
% 1.79/0.59 thf(c_0_318, plain, ((descrp)=(![X1:$i > $o]:((((?[X969:$i]:(((((X1 @ X969)))&(![X970:$i]:(((((X1 @ X970)))=>(((X969)=(X970))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_296, c_0_295])).
% 1.79/0.59 thf(c_0_319, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 1.79/0.59 thf(c_0_320, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 1.79/0.59 thf(c_0_321, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 1.79/0.59 thf(c_0_322, plain, ((exuE1)=(![X1:$i > $o]:((((?[X971:$i]:(((((X1 @ X971)))&(![X972:$i]:(((((X1 @ X972)))=>(((X971)=(X972))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_297, c_0_295])).
% 1.79/0.59 thf(c_0_323, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X973:$i]:(((((X1 @ X973)))&(![X974:$i]:(((((X1 @ X974)))=>(((X973)=(X974))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_298, c_0_295])).
% 1.79/0.59 thf(c_0_324, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 1.79/0.59 thf(c_0_325, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_299])).
% 1.79/0.59 thf(c_0_326, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_300, c_0_299])).
% 1.79/0.59 thf(c_0_327, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_299])).
% 1.79/0.59 thf(c_0_328, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 1.79/0.59 thf(c_0_329, plain, ((exuE2)=(![X1:$i > $o]:((((?[X975:$i]:(((((X1 @ X975)))&(![X976:$i]:(((((X1 @ X976)))=>(((X975)=(X976))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_301, c_0_295])).
% 1.79/0.59 thf(c_0_330, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_299])).
% 1.79/0.59 thf(c_0_331, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 1.79/0.59 thf(c_0_332, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X977:$i]:(((((X1 @ X977)))&(![X978:$i]:(((((X1 @ X978)))=>(((X977)=(X978)))))))))))))), inference(apply_def,[status(thm)],[c_0_302, c_0_295])).
% 1.79/0.59 thf(c_0_333, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X979:$i]:(((((X1 @ X979)))&(![X980:$i]:(((((X1 @ X980)))=>(((X979)=(X980)))))))))))))))), inference(apply_def,[status(thm)],[c_0_303, c_0_295])).
% 1.79/0.59 thf(c_0_334, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X981:$i]:(((((X1 @ X981)))&(![X982:$i]:(((((X1 @ X982)))=>(((X981)=(X982)))))))))))))), inference(apply_def,[status(thm)],[c_0_304, c_0_295])).
% 1.79/0.59 thf(c_0_335, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X983:$i]:(((((X1 @ X983)))&(![X984:$i]:(((((X1 @ X984)))=>(((X983)=(X984))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_305, c_0_295])).
% 1.79/0.59 thf(c_0_336, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X985:$i]:(((((X1 @ X985)))&(![X986:$i]:(((((X1 @ X986)))=>(((X985)=(X986))))))))))<=>((?[X987:$i]:(((((X17 @ X987)))&(![X988:$i]:(((((X17 @ X988)))=>(((X987)=(X988)))))))))))))))), inference(apply_def,[status(thm)],[c_0_306, c_0_295])).
% 1.79/0.59 thf(c_0_337, plain, ((exuEu)=(![X1:$i > $o]:((((?[X989:$i]:(((((X1 @ X989)))&(![X990:$i]:(((((X1 @ X990)))=>(((X989)=(X990))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_307, c_0_295])).
% 1.79/0.59 thf(c_0_338, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X991:$i]:(((((X1 @ X991)))&(![X992:$i]:(((((X1 @ X992)))=>(((X991)=(X992))))))))))=>((((?[X993:$i]:(((((X17 @ X993)))&(![X994:$i]:(((((X17 @ X994)))=>(((X993)=(X994))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_308, c_0_295])).
% 1.79/0.59 thf(c_0_339, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 1.79/0.59 thf(c_0_340, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 1.79/0.59 thf(c_0_341, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 1.79/0.59 thf(c_0_342, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 1.79/0.59 thf(c_0_343, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:(((((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0))))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_309, c_0_310])).
% 1.79/0.59 thf(c_0_344, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>(((![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X3))=>(((X3)=(X2))))))))=>(((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))))))))))), inference(apply_def,[status(thm)],[c_0_311, c_0_310])).
% 1.79/0.59 thf(c_0_345, 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)))))=>(((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_312, c_0_310])).
% 1.79/0.59 thf(c_0_346, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 1.79/0.59 thf(c_0_347, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 1.79/0.59 thf(c_0_348, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 1.79/0.59 thf(c_0_349, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 1.79/0.59 thf(c_0_350, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_313, c_0_293])).
% 1.79/0.59 thf(c_0_351, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 1.79/0.59 thf(c_0_352, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 1.79/0.59 thf(c_0_353, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 1.79/0.59 thf(c_0_354, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 1.79/0.59 thf(c_0_355, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
% 1.79/0.59 thf(c_0_356, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
% 1.79/0.59 thf(c_0_357, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
% 1.79/0.59 thf(c_0_358, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
% 1.79/0.59 thf(c_0_359, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
% 1.79/0.59 thf(c_0_360, axiom, ((brelnall1)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_293])).
% 1.79/0.59 thf(c_0_361, axiom, ((brelnall2)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_293])).
% 1.79/0.59 thf(c_0_362, plain, ((ex1E2)=(![X4:$i, X1:$i > $o]:(((((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))))))))))), inference(apply_def,[status(thm)],[c_0_314, c_0_310])).
% 1.79/0.59 thf(c_0_363, axiom, ((subbreln)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X35:$i]:(((((subset @ X35 @ (cartprod @ X4 @ X5))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((in @ (kpair @ X2 @ X3) @ X35))))))))))=>((subset @ X33 @ X35))))))))))), inference(apply_def,[status(thm)],[subbreln, c_0_293])).
% 1.79/0.59 thf(c_0_364, axiom, ((eqbreln)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X35:$i]:(((((subset @ X35 @ (cartprod @ X4 @ X5))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((in @ (kpair @ X2 @ X3) @ X35))))))))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X35))=>((in @ (kpair @ X2 @ X3) @ X33))))))))))=>(((X33)=(X35)))))))))))))), inference(apply_def,[status(thm)],[eqbreln, c_0_293])).
% 1.79/0.59 thf(c_0_365, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])).
% 1.79/0.59 thf(c_0_366, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
% 1.79/0.59 thf(c_0_367, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])).
% 1.79/0.59 thf(c_0_368, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])).
% 1.79/0.59 thf(c_0_369, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
% 1.79/0.59 thf(c_0_370, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X39))&(((Z0)=(X2)))))|(((~((X39)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
% 1.79/0.59 thf(c_0_371, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X40))&(((Z0)=(X2)))))|(((~((X40)))&(((Z0)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
% 1.79/0.59 thf(c_0_372, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X41))&(((Z0)=(X2)))))|(((~((X41)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
% 1.79/0.59 thf(c_0_373, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X42))&(((Z0)=(X2)))))|(((~((X42)))&(((Z0)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
% 1.79/0.59 thf(c_0_374, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X43))&(((Z0)=(X2)))))|(((~((X43)))&(((Z0)=(X3))))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
% 1.79/0.59 thf(c_0_375, axiom, ((breln1all2)=(![X4:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X4))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[breln1all2, c_0_315])).
% 1.79/0.59 thf(c_0_376, plain, ((epred1_0)<=>![X1024:$i]:(?[X1025:$i]:((((![X1026:$i]:(((in @ X1026 @ X1025)=>![X1027:$i]:(((in @ X1027 @ X1026)=>(in @ X1027 @ X1024)))))&![X1028:$i, X1029:$i]:((((in @ X1028 @ X1024)&(in @ X1029 @ X1024))=>(![X1030:$i]:(((in @ X1030 @ X1025)=>((in @ X1028 @ X1030)<=>(in @ X1029 @ X1030))))=>((X1028)=(X1029))))))&![X1031:$i, X1032:$i]:((((in @ X1031 @ X1025)&(in @ X1032 @ X1025))=>(![X1033:$i]:(((in @ X1033 @ X1031)=>(in @ X1033 @ X1032)))|![X1034:$i]:(((in @ X1034 @ X1032)=>(in @ X1034 @ X1031)))))))&![X1035:$i]:(((![X1036:$i]:(((in @ X1036 @ X1035)=>(in @ X1036 @ X1024)))&?[X1037:$i]:((in @ X1037 @ X1035)))=>?[X1038:$i, X1039:$i]:(((((in @ X1038 @ X1025)&(in @ X1039 @ X1035))&~(?[X1040:$i]:(((in @ X1040 @ X1038)&(in @ X1040 @ X1035)))))&![X1041:$i]:(((in @ X1041 @ X1025)=>(![X1042:$i]:(((in @ X1042 @ X1041)=>(in @ X1042 @ X1038)))|(in @ X1039 @ X1041)))))))))))), introduced(definition)).
% 1.79/0.59 thf(c_0_377, negated_conjecture, ~((![X995:$i, X996:$i]:((![X997:$i]:(((in @ X997 @ X995)<=>(in @ X997 @ X996)))=>((X995)=(X996))))=>(![X998:$i]:(~(in @ X998 @ emptyset))=>(![X999:$i, X1000:$i, X1001:$i]:(((in @ X1001 @ (setadjoin @ X999 @ X1000))<=>(((X1001)=(X999))|(in @ X1001 @ X1000))))=>(![X1002:$i, X1003:$i]:(((in @ X1003 @ (powerset @ X1002))<=>![X1004:$i]:(((in @ X1004 @ X1003)=>(in @ X1004 @ X1002)))))=>(![X1005:$i, X1006:$i]:(((in @ X1006 @ (setunion @ X1005))<=>?[X1007:$i]:(((in @ X1006 @ X1007)&(in @ X1007 @ X1005)))))=>((in @ emptyset @ omega)=>(![X1008:$i]:(((in @ X1008 @ omega)=>(in @ (setadjoin @ X1008 @ X1008) @ omega)))=>(![X1009:$i]:((((in @ emptyset @ X1009)&![X1010:$i]:((((in @ X1010 @ omega)&(in @ X1010 @ X1009))=>(in @ (setadjoin @ X1010 @ X1010) @ X1009))))=>![X1011:$i]:(((in @ X1011 @ omega)=>(in @ X1011 @ X1009)))))=>(![X1012:$i > $i > $o, X1013:$i]:((![X1014:$i]:(((in @ X1014 @ X1013)=>?[X1015:$i]:(((X1012 @ X1014 @ X1015)&![X1016:$i]:(((X1012 @ X1014 @ X1016)=>((X1015)=(X1016))))))))=>?[X1017:$i]:(![X1018:$i]:(((in @ X1018 @ X1017)<=>?[X1019:$i]:(((in @ X1019 @ X1013)&(X1012 @ X1019 @ X1018))))))))=>(![X1020:$i]:((?[X1021:$i]:((in @ X1021 @ X1020))=>?[X1022:$i]:(((in @ X1022 @ X1020)&~(?[X1023:$i]:(((in @ X1023 @ X1022)&(in @ X1023 @ X1020))))))))=>((epred1_0)=>(![X1043:$i > $o]:((?[X1044:$i]:(((X1043 @ X1044)&![X1045:$i]:(((X1043 @ X1045)=>((X1044)=(X1045))))))=>(X1043 @ (descr @ (^[Z0:$i]:(X1043 @ Z0))))))=>(![X1046:$i, X1047:$i > $o, X1048:$i]:(((in @ X1048 @ X1046)=>((X1047 @ X1048)=>(in @ X1048 @ (dsetconstr @ X1046 @ X1047)))))=>(![X1049:$i, X1050:$i > $o, X1051:$i]:(((in @ X1051 @ (dsetconstr @ X1049 @ X1050))=>(in @ X1051 @ X1049)))=>(![X1052:$i, X1053:$i > $o, X1054:$i]:(((in @ X1054 @ (dsetconstr @ X1052 @ X1053))=>(X1053 @ X1054)))=>(![X1055:$i > $o]:((?[X1056:$i]:(((X1055 @ X1056)&![X1057:$i]:(((X1055 @ X1057)=>((X1056)=(X1057))))))=>?[X1058:$i]:(((X1055 @ X1058)&![X1059:$i]:(((X1055 @ X1059)=>((X1058)=(X1059))))))))=>(![X1060:$o, X1061:$i]:(((in @ X1061 @ (prop2set @ ((X1060))))=>(X1060)))=>(![X1062:$i]:(((in @ X1062 @ emptyset)=>![X1063:$o]:((X1063))))=>(![X1064:$i]:(((in @ X1064 @ emptyset)=>~($true)))=>(![X1065:$i]:(~(in @ X1065 @ emptyset))=>(![X1066:$i > $o]:((?[X1067:$i]:(((X1066 @ X1067)&![X1068:$i]:(((X1066 @ X1068)=>((X1067)=(X1068))))))=>?[X1069:$i]:((X1066 @ X1069))))=>(![X1070:$i, X1071:$i]:((![X1072:$i]:(((in @ X1072 @ X1070)=>(in @ X1072 @ X1071)))=>(![X1073:$i]:(((in @ X1073 @ X1071)=>(in @ X1073 @ X1070)))=>((X1070)=(X1071)))))=>(![X1074:$i]:((![X1075:$i]:(~(in @ X1075 @ X1074))=>((X1074)=(emptyset))))=>(![X1076:$i]:((![X1077:$i]:(~(in @ X1077 @ X1076))=>((X1076)=(emptyset))))=>(![X1078:$i, X1079:$i > $o, X1080:$i]:(((in @ X1080 @ X1078)=>((in @ X1080 @ (dsetconstr @ X1078 @ X1079))<=>(X1079 @ X1080))))=>(![X1081:$i]:((((X1081)!=(emptyset))=>?[X1082:$i]:((in @ X1082 @ X1081))))=>(![X1083:$i, X1084:$i > $o, X1085:$i]:(((in @ X1085 @ X1083)=>((X1084 @ X1085)=>((dsetconstr @ X1083 @ X1084)!=(emptyset)))))=>(![X1086:$i]:((?[X1087:$i]:((in @ X1087 @ X1086))=>((X1086)!=(emptyset))))=>(![X1088:$i, X1089:$i]:((in @ X1088 @ (setadjoin @ X1088 @ X1089)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1090:$i, X1091:$i, X1092:$i]:(((in @ X1092 @ X1091)=>(in @ X1092 @ (setadjoin @ X1090 @ X1091))))=>(![X1093:$i, X1094:$i, X1095:$i]:(((in @ X1095 @ (setadjoin @ X1093 @ X1094))=>![X1096:$o]:(((((X1095)=(X1093))=>(X1096))=>(((in @ X1095 @ X1094)=>(X1096))=>(X1096))))))=>(![X1097:$i, X1098:$i, X1099:$i]:(((in @ X1099 @ (setadjoin @ X1097 @ X1098))=>(((X1099)=(X1097))|(in @ X1099 @ X1098))))=>(![X1100:$i]:(((dsetconstr @ X1100 @ (^[Z0:$i]:($true)))=(X1100)))=>(![X1101:$i, X1102:$i]:((![X1103:$i]:(((in @ X1103 @ X1102)=>(in @ X1103 @ X1101)))=>(in @ X1102 @ (powerset @ X1101))))=>(![X1104:$i]:((in @ emptyset @ (powerset @ X1104)))=>(![X1105:$i]:((in @ emptyset @ (powerset @ X1105)))=>(![X1106:$i, X1107:$i, X1108:$i]:(((in @ X1107 @ (powerset @ X1106))=>((in @ X1108 @ X1107)=>(in @ X1108 @ X1106))))=>(![X1109:$i, X1110:$i, X1111:$i]:(((in @ X1110 @ X1111)=>((in @ X1111 @ X1109)=>(in @ X1110 @ (setunion @ X1109)))))=>(![X1112:$i, X1113:$i]:(((in @ X1113 @ (setunion @ X1112))=>![X1114:$o]:((![X1115:$i]:(((in @ X1113 @ X1115)=>((in @ X1115 @ X1112)=>(X1114))))=>(X1114)))))=>(![X1116:$i, X1117:$i]:(((in @ X1117 @ X1116)=>(in @ X1117 @ (powerset @ (setunion @ X1116)))))=>(![X1118:$i > $o]:((?[X1119:$i]:(((X1118 @ X1119)&![X1120:$i]:(((X1118 @ X1120)=>((X1119)=(X1120))))))=>?[X1121:$i]:(![X1122:$i]:(((X1118 @ X1122)<=>((X1122)=(X1121)))))))=>(![X1123:$i]:((((X1123)!=(emptyset))=>?[X1124:$i]:(((in @ X1124 @ X1123)&$true))))=>(![X1125:$i, X1126:$i]:(((in @ X1125 @ (setadjoin @ X1126 @ emptyset))=>((X1125)=(X1126))))=>(![X1127:$i, X1128:$i]:((((X1127)!=(X1128))=>~(in @ X1128 @ (setadjoin @ X1127 @ emptyset))))=>(![X1129:$i, X1130:$i]:((((X1129)=(X1130))=>(in @ X1129 @ (setadjoin @ X1130 @ emptyset))))=>(![X1131:$i, X1132:$i]:(((in @ X1131 @ (setadjoin @ X1132 @ emptyset))=>(in @ X1132 @ (setadjoin @ X1131 @ emptyset))))=>(![X1133:$i, X1134:$i, X1135:$i]:(((in @ X1135 @ (setadjoin @ X1133 @ (setadjoin @ X1134 @ emptyset)))=>(((X1135)=(X1133))|((X1135)=(X1134)))))=>(![X1136:$i, X1137:$i]:((in @ X1136 @ (setadjoin @ X1136 @ (setadjoin @ X1137 @ emptyset))))=>(![X1138:$i, X1139:$i]:((in @ X1139 @ (setadjoin @ X1138 @ (setadjoin @ X1139 @ emptyset))))=>(![X1140:$i, X1141:$i > $o]:((?[X1142:$i]:(((in @ X1142 @ X1140)&(X1141 @ X1142)))=>(((dsetconstr @ X1140 @ X1141)=(emptyset))=>~($true))))=>(![X1143:$i > $o, X1144:$i]:(((in @ X1144 @ emptyset)=>(X1143 @ X1144)))=>(![X1145:$i, X1146:$i > $o]:((~(![X1147:$i]:(((in @ X1147 @ X1145)=>(X1146 @ X1147))))=>?[X1148:$i]:(((in @ X1148 @ X1145)&~((X1146 @ X1148))))))=>(![X1149:$i, X1150:$i > $o]:((![X1151:$i]:(((in @ X1151 @ X1149)=>~((X1150 @ X1151))))=>~(?[X1152:$i]:(((in @ X1152 @ X1149)&(X1150 @ X1152))))))=>(![X1153:$i, X1154:$i > $o]:((~(?[X1155:$i]:(((in @ X1155 @ X1153)&(X1154 @ X1155))))=>![X1156:$i]:(((in @ X1156 @ X1153)=>~((X1154 @ X1156))))))=>(![X1157:$i, X1158:$i > $o]:((?[X1159:$i]:(((in @ X1159 @ X1157)&~((X1158 @ X1159))))=>~(![X1160:$i]:(((in @ X1160 @ X1157)=>(X1158 @ X1160))))))=>(![X1161:$o]:(((X1161)=>(in @ emptyset @ (prop2set @ ((X1161))))))=>(![X1162:$o]:(((X1162)=>(set2prop @ (prop2set @ ((X1162))))))=>(![X1163:$i, X1164:$i > $o]:((~(?[X1165:$i]:(((in @ X1165 @ X1163)&(X1164 @ X1165))))=>![X1166:$i]:(((in @ X1166 @ X1163)=>~((X1164 @ X1166))))))=>(![X1167:$i, X1168:$i > $o]:((~(![X1169:$i]:(((in @ X1169 @ X1167)=>(X1168 @ X1169))))=>?[X1170:$i]:(((in @ X1170 @ X1167)&~((X1168 @ X1170))))))=>(![X1171:$i > $o]:((?[X1172:$i]:(((X1171 @ X1172)&![X1173:$i]:(((X1171 @ X1173)=>((X1172)=(X1173))))))=>?[X1174:$i]:(((X1171 @ X1174)&![X1175:$i]:(((X1171 @ X1175)=>((X1174)=(X1175))))))))=>(![X1176:$i > $o]:((?[X1177:$i]:((X1176 @ X1177))=>(![X1178:$i, X1179:$i]:(((X1176 @ X1178)=>((X1176 @ X1179)=>((X1178)=(X1179)))))=>?[X1180:$i]:(((X1176 @ X1180)&![X1181:$i]:(((X1176 @ X1181)=>((X1180)=(X1181)))))))))=>(![X1182:$i > $o]:((?[X1183:$i]:(![X1184:$i]:(((X1182 @ X1184)<=>((X1184)=(X1183)))))=>?[X1185:$i]:(((X1182 @ X1185)&![X1186:$i]:(((X1182 @ X1186)=>((X1185)=(X1186))))))))=>(![X1187:$i, X1188:$i]:((((X1187)=(X1188))=>![X1189:$i, X1190:$i]:((((X1189)=(X1190))=>((in @ X1189 @ X1187)=>(in @ X1190 @ X1188))))))=>(![X1191:$i, X1192:$i]:((((X1191)=(X1192))=>![X1193:$i, X1194:$i]:((((X1193)=(X1194))=>((in @ X1193 @ X1191)<=>(in @ X1194 @ X1192))))))=>(![X1195:$i > $o]:((?[X1196:$i]:(((X1195 @ X1196)&![X1197:$i]:(((X1195 @ X1197)=>((X1196)=(X1197))))))=>![X1198:$i, X1199:$i]:(((X1195 @ X1198)=>((X1195 @ X1199)=>((X1198)=(X1199)))))))=>(![X1200:$i > $o, X1201:$i > $o]:((![X1202:$i, X1203:$i]:((((X1202)=(X1203))=>((X1200 @ X1202)<=>(X1201 @ X1203))))=>(?[X1204:$i]:(((X1200 @ X1204)&![X1205:$i]:(((X1200 @ X1205)=>((X1204)=(X1205))))))<=>?[X1206:$i]:(((X1201 @ X1206)&![X1207:$i]:(((X1201 @ X1207)=>((X1206)=(X1207)))))))))=>(((emptyset)=(emptyset))=>(![X1208:$i, X1209:$i]:((((X1208)=(X1209))=>![X1210:$i, X1211:$i]:((((X1210)=(X1211))=>((setadjoin @ X1208 @ X1210)=(setadjoin @ X1209 @ X1211))))))=>(![X1212:$i, X1213:$i]:((((X1212)=(X1213))=>((powerset @ X1212)=(powerset @ X1213))))=>(![X1214:$i, X1215:$i]:((((X1214)=(X1215))=>((setunion @ X1214)=(setunion @ X1215))))=>(((omega)=(omega))=>(![X1216:$i > $o]:((?[X1217:$i]:(((X1216 @ X1217)&![X1218:$i]:(((X1216 @ X1218)=>((X1217)=(X1218))))))=>![X1219:$i, X1220:$i]:(((X1216 @ X1219)=>((X1216 @ X1220)=>((X1219)=(X1220)))))))=>(![X1221:$i > $o, X1222:$i > $o]:((![X1223:$i, X1224:$i]:((((X1223)=(X1224))=>((X1221 @ X1223)<=>(X1222 @ X1224))))=>(?[X1225:$i]:(((X1221 @ X1225)&![X1226:$i]:(((X1221 @ X1226)=>((X1225)=(X1226))))))=>(?[X1227:$i]:(((X1222 @ X1227)&![X1228:$i]:(((X1222 @ X1228)=>((X1227)=(X1228))))))=>((descr @ X1221)=(descr @ X1222))))))=>(![X1229:$i, X1230:$i]:((((X1229)=(X1230))=>![X1231:$i > $o, X1232:$i > $o]:((![X1233:$i]:(((in @ X1233 @ X1229)=>![X1234:$i]:(((in @ X1234 @ X1230)=>(((X1233)=(X1234))=>((X1231 @ X1233)<=>(X1232 @ X1234)))))))=>((dsetconstr @ X1229 @ X1231)=(dsetconstr @ X1230 @ X1232))))))=>(![X1235:$i, X1236:$i]:((![X1237:$i]:(((in @ X1237 @ X1235)=>(in @ X1237 @ X1236)))=>(subset @ X1235 @ X1236)))=>(![X1238:$i, X1239:$i]:((((X1238)=(X1239))=>(subset @ X1239 @ X1238)))=>(![X1240:$i, X1241:$i]:((((X1240)=(X1241))=>(subset @ X1240 @ X1241)))=>(![X1242:$i, X1243:$i]:((![X1244:$i]:(((in @ X1244 @ X1242)=>(in @ X1244 @ X1243)))=>(subset @ X1242 @ X1243)))=>(![X1245:$i]:((subset @ emptyset @ X1245))=>(![X1246:$i, X1247:$i, X1248:$i]:(((subset @ X1246 @ X1247)=>((in @ X1248 @ X1246)=>(in @ X1248 @ X1247))))=>(![X1249:$i, X1250:$i, X1251:$i]:(((subset @ X1249 @ X1250)=>(~(in @ X1251 @ X1250)=>~(in @ X1251 @ X1249))))=>(![X1252:$i, X1253:$i, X1254:$i]:(((in @ X1254 @ X1252)=>(~(in @ X1254 @ X1253)=>~(subset @ X1252 @ X1253))))=>(![X1255:$i, X1256:$i]:((~(subset @ X1255 @ X1256)=>((X1255)!=(X1256))))=>(![X1257:$i, X1258:$i, X1259:$i]:(((in @ X1259 @ X1257)=>(~(in @ X1259 @ X1258)=>((X1257)!=(X1258)))))=>(![X1260:$i]:((subset @ X1260 @ X1260))=>(![X1261:$i, X1262:$i, X1263:$i]:(((subset @ X1261 @ X1262)=>((subset @ X1262 @ X1263)=>(subset @ X1261 @ X1263))))=>(![X1264:$i, X1265:$i]:((subset @ X1265 @ (setadjoin @ X1264 @ X1265)))=>(![X1266:$i, X1267:$i, X1268:$i]:(((subset @ X1266 @ X1268)=>(subset @ X1266 @ (setadjoin @ X1267 @ X1268))))=>(![X1269:$i, X1270:$i]:(((subset @ X1269 @ X1270)=>(in @ X1269 @ (powerset @ X1270))))=>(![X1271:$i, X1272:$i]:(((subset @ X1271 @ X1272)=>((subset @ X1272 @ X1271)=>((X1271)=(X1272)))))=>(![X1273:$i]:(((subset @ X1273 @ emptyset)=>((X1273)=(emptyset))))=>(![X1274:$i, X1275:$i]:(((subset @ X1275 @ X1274)=>(in @ X1275 @ (powerset @ X1274))))=>(![X1276:$i, X1277:$i]:(((in @ X1277 @ (powerset @ X1276))=>(subset @ X1277 @ X1276)))=>(![X1278:$i]:((in @ X1278 @ (powerset @ X1278)))=>(![X1279:$i, X1280:$i]:(((subset @ X1279 @ X1280)=>(subset @ (powerset @ X1279) @ (powerset @ X1280))))=>(![X1281:$i, X1282:$i > $o]:((in @ (dsetconstr @ X1281 @ X1282) @ (powerset @ X1281)))=>(![X1283:$i, X1284:$i > $o]:((subset @ (dsetconstr @ X1283 @ X1284) @ X1283))=>(![X1285:$i, X1286:$i, X1287:$i]:(((in @ X1287 @ X1285)=>(in @ X1287 @ (binunion @ X1285 @ X1286))))=>(![X1288:$i, X1289:$i]:((in @ X1289 @ (setadjoin @ X1288 @ (setadjoin @ X1289 @ emptyset))))=>(![X1290:$i, X1291:$i, X1292:$i]:(((in @ X1292 @ X1291)=>(in @ X1292 @ (binunion @ X1290 @ X1291))))=>(![X1293:$i, X1294:$i, X1295:$i, X1296:$o]:(((in @ X1295 @ (binunion @ X1293 @ X1294))=>(((in @ X1295 @ X1293)=>(X1296))=>(((in @ X1295 @ X1294)=>(X1296))=>(X1296)))))=>(![X1297:$i, X1298:$i, X1299:$i]:(((in @ X1299 @ (binunion @ X1297 @ X1298))=>((in @ X1299 @ X1297)|(in @ X1299 @ X1298))))=>(![X1300:$i, X1301:$i]:((subset @ X1300 @ (binunion @ X1300 @ X1301)))=>(![X1302:$i, X1303:$i]:((subset @ X1303 @ (binunion @ X1302 @ X1303)))=>(![X1304:$i, X1305:$i, X1306:$i]:(((in @ X1306 @ X1304)=>((in @ X1306 @ X1305)=>(in @ X1306 @ (binintersect @ X1304 @ X1305)))))=>(![X1307:$i, X1308:$i, X1309:$i]:(((subset @ X1309 @ X1307)=>((subset @ X1309 @ X1308)=>(subset @ X1309 @ (binintersect @ X1307 @ X1308)))))=>(![X1310:$i, X1311:$i, X1312:$i]:(((in @ X1312 @ (binintersect @ X1310 @ X1311))=>(in @ X1312 @ X1310)))=>(![X1313:$i, X1314:$i]:((subset @ (binintersect @ X1313 @ X1314) @ X1313))=>(![X1315:$i, X1316:$i]:(((subset @ X1315 @ X1316)=>((binintersect @ X1315 @ X1316)=(X1315))))=>(![X1317:$i, X1318:$i]:((((binintersect @ X1317 @ X1318)=(X1318))=>(subset @ X1318 @ X1317)))=>(![X1319:$i, X1320:$i, X1321:$i]:(((in @ X1321 @ (binintersect @ X1319 @ X1320))=>(in @ X1321 @ X1320)))=>(![X1322:$i, X1323:$i]:((~(?[X1324:$i]:(((in @ X1324 @ X1322)&(in @ X1324 @ X1323))))=>((binintersect @ X1322 @ X1323)=(emptyset))))=>(![X1325:$i, X1326:$i]:((subset @ (binintersect @ X1325 @ X1326) @ X1326))=>(![X1327:$i, X1328:$i]:(((subset @ X1328 @ X1327)=>((binintersect @ X1327 @ X1328)=(X1328))))=>(![X1329:$i, X1330:$i]:((((binintersect @ X1329 @ X1330)=(X1329))=>(subset @ X1329 @ X1330)))=>(![X1331:$i, X1332:$i, X1333:$i]:(((binintersect @ X1331 @ (binunion @ X1332 @ X1333))=(binunion @ (binintersect @ X1331 @ X1332) @ (binintersect @ X1331 @ X1333))))=>(![X1334:$i, X1335:$i, X1336:$i]:(((in @ X1336 @ X1334)=>(~(in @ X1336 @ X1335)=>(in @ X1336 @ (setminus @ X1334 @ X1335)))))=>(![X1337:$i, X1338:$i, X1339:$i]:(((in @ X1339 @ (setminus @ X1337 @ X1338))=>(in @ X1339 @ X1337)))=>(![X1340:$i, X1341:$i, X1342:$i]:(((in @ X1342 @ (setminus @ X1340 @ X1341))=>~(in @ X1342 @ X1341)))=>(![X1343:$i, X1344:$i]:(((subset @ X1343 @ X1344)=>((setminus @ X1343 @ X1344)=(emptyset))))=>(![X1345:$i, X1346:$i, X1347:$i]:((~(in @ X1347 @ (setminus @ X1345 @ X1346))=>((in @ X1347 @ X1345)=>(in @ X1347 @ X1346))))=>(![X1348:$i, X1349:$i, X1350:$i]:((~(in @ X1350 @ (setminus @ X1348 @ X1349))=>(~(in @ X1350 @ X1349)=>~(in @ X1350 @ X1348))))=>(![X1351:$i, X1352:$i, X1353:$i]:((~(in @ X1353 @ X1351)=>~(in @ X1353 @ (setminus @ X1351 @ X1352))))=>(![X1354:$i, X1355:$i, X1356:$i]:(((in @ X1356 @ X1355)=>~(in @ X1356 @ (setminus @ X1354 @ X1355))))=>(![X1357:$i, X1358:$i]:((subset @ (setminus @ X1357 @ X1358) @ X1357))=>(![X1359:$i, X1360:$i]:((((setminus @ X1359 @ X1360)=(emptyset))=>(subset @ X1359 @ X1360)))=>(![X1361:$i, X1362:$i, X1363:$i]:(((in @ X1363 @ (symdiff @ X1361 @ X1362))=>![X1364:$o]:((((in @ X1363 @ X1361)=>(~(in @ X1363 @ X1362)=>(X1364)))=>((~(in @ X1363 @ X1361)=>((in @ X1363 @ X1362)=>(X1364)))=>(X1364))))))=>(![X1365:$i, X1366:$i, X1367:$i]:(((in @ X1367 @ X1365)=>(~(in @ X1367 @ X1366)=>(in @ X1367 @ (symdiff @ X1365 @ X1366)))))=>(![X1368:$i, X1369:$i, X1370:$i]:((~(in @ X1370 @ X1368)=>((in @ X1370 @ X1369)=>(in @ X1370 @ (symdiff @ X1368 @ X1369)))))=>(![X1371:$i, X1372:$i, X1373:$i]:(((in @ X1373 @ X1371)=>((in @ X1373 @ X1372)=>~(in @ X1373 @ (symdiff @ X1371 @ X1372)))))=>(![X1374:$i, X1375:$i, X1376:$i]:((~(in @ X1376 @ X1374)=>(~(in @ X1376 @ X1375)=>~(in @ X1376 @ (symdiff @ X1374 @ X1375)))))=>(![X1377:$i, X1378:$i]:((in @ X1378 @ (setadjoin @ X1377 @ (setadjoin @ X1378 @ emptyset))))=>(![X1379:$i, X1380:$i]:((in @ X1379 @ (setunion @ (setadjoin @ (setadjoin @ X1379 @ emptyset) @ (setadjoin @ (setadjoin @ X1379 @ (setadjoin @ X1380 @ emptyset)) @ emptyset)))))=>(![X1381:$i, X1382:$i]:((in @ X1382 @ (setunion @ (setadjoin @ (setadjoin @ X1381 @ emptyset) @ (setadjoin @ (setadjoin @ X1381 @ (setadjoin @ X1382 @ emptyset)) @ emptyset)))))=>(![X1383:$i, X1384:$i]:((iskpair @ (setadjoin @ (setadjoin @ X1383 @ emptyset) @ (setadjoin @ (setadjoin @ X1383 @ (setadjoin @ X1384 @ emptyset)) @ emptyset))))=>(![X1385:$i, X1386:$i]:((iskpair @ (kpair @ X1385 @ X1386)))=>(![X1387:$i, X1388:$i]:(((in @ X1388 @ X1387)=>(subset @ (setadjoin @ X1388 @ emptyset) @ X1387)))=>(![X1389:$i, X1390:$i]:(((in @ X1390 @ X1389)=>(in @ (setadjoin @ X1390 @ emptyset) @ (powerset @ X1389))))=>(![X1391:$i, X1392:$i, X1393:$i]:(((in @ X1393 @ X1391)=>(in @ (setadjoin @ X1393 @ emptyset) @ (powerset @ (binunion @ X1391 @ X1392)))))=>(![X1394:$i, X1395:$i, X1396:$i]:(((in @ X1396 @ (setadjoin @ X1394 @ (setadjoin @ X1395 @ emptyset)))=>(((X1396)=(X1394))|((X1396)=(X1395)))))=>(![X1397:$i, X1398:$i, X1399:$i]:(((in @ X1399 @ X1397)=>![X1400:$i]:(((in @ X1400 @ X1398)=>(subset @ (setadjoin @ X1399 @ (setadjoin @ X1400 @ emptyset)) @ (binunion @ X1397 @ X1398))))))=>(![X1401:$i, X1402:$i, X1403:$i]:(((in @ X1403 @ X1401)=>![X1404:$i]:(((in @ X1404 @ X1402)=>(in @ (setadjoin @ X1403 @ (setadjoin @ X1404 @ emptyset)) @ (powerset @ (binunion @ X1401 @ X1402)))))))=>(![X1405:$i, X1406:$i, X1407:$i]:(((in @ X1407 @ X1405)=>![X1408:$i]:(((in @ X1408 @ X1406)=>(subset @ (setadjoin @ (setadjoin @ X1407 @ emptyset) @ (setadjoin @ (setadjoin @ X1407 @ (setadjoin @ X1408 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1405 @ X1406)))))))=>(![X1409:$i, X1410:$i, X1411:$i]:(((in @ X1411 @ X1409)=>![X1412:$i]:(((in @ X1412 @ X1410)=>(in @ (setadjoin @ (setadjoin @ X1411 @ emptyset) @ (setadjoin @ (setadjoin @ X1411 @ (setadjoin @ X1412 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1409 @ X1410))))))))=>(![X1413:$i, X1414:$i, X1415:$i]:(((in @ X1415 @ X1413)=>![X1416:$i]:(((in @ X1416 @ X1414)=>(in @ (kpair @ X1415 @ X1416) @ (powerset @ (powerset @ (binunion @ X1413 @ X1414))))))))=>(![X1417:$i, X1418:$i, X1419:$i]:(((in @ X1419 @ X1417)=>![X1420:$i]:(((in @ X1420 @ X1418)=>(in @ (kpair @ X1419 @ X1420) @ (cartprod @ X1417 @ X1418))))))=>(![X1421:$i, X1422:$i, X1423:$i]:(((in @ X1423 @ (cartprod @ X1421 @ X1422))=>?[X1424:$i]:(((in @ X1424 @ X1421)&?[X1425:$i]:(((in @ X1425 @ X1422)&((X1423)=(kpair @ X1424 @ X1425))))))))=>(![X1426:$i, X1427:$i, X1428:$i]:(((in @ X1428 @ (cartprod @ X1426 @ X1427))=>(iskpair @ X1428)))=>(![X1429:$i, X1430:$i]:(((in @ X1430 @ (setunion @ X1429))=>?[X1431:$i]:(((in @ X1431 @ X1429)&(in @ X1430 @ X1431)))))=>(![X1432:$i]:((subset @ (setunion @ (setadjoin @ X1432 @ emptyset)) @ X1432))=>(![X1433:$i]:((subset @ X1433 @ (setunion @ (setadjoin @ X1433 @ emptyset))))=>(![X1434:$i]:(((setunion @ (setadjoin @ X1434 @ emptyset))=(X1434)))=>(![X1435:$i, X1436:$i > $o]:((![X1437:$i]:(((in @ X1437 @ X1435)=>![X1438:$i]:(((in @ X1438 @ X1435)=>((X1436 @ X1437)=>((X1436 @ X1438)=>((X1437)=(X1438))))))))=>(?[X1439:$i]:(((in @ X1439 @ X1435)&(X1436 @ X1439)))=>(singleton @ (dsetconstr @ X1435 @ X1436)))))=>(![X1440:$i, X1441:$i > $o]:(((singleton @ (dsetconstr @ X1440 @ X1441))=>?[X1442:$i]:(((in @ X1442 @ X1440)&(X1441 @ X1442)))))=>(![X1443:$i, X1444:$i > $o, X1445:$i]:(((in @ X1445 @ X1443)=>((X1444 @ X1445)=>(![X1446:$i]:(((in @ X1446 @ X1443)=>((X1444 @ X1446)=>((X1446)=(X1445)))))=>(singleton @ (dsetconstr @ X1443 @ X1444))))))=>(![X1447:$i, X1448:$i > $o]:((![X1449:$i]:(((in @ X1449 @ X1447)=>![X1450:$i]:(((in @ X1450 @ X1447)=>((X1448 @ X1449)=>((X1448 @ X1450)=>((X1449)=(X1450))))))))=>(?[X1451:$i]:(((in @ X1451 @ X1447)&(X1448 @ X1451)))=>(singleton @ (dsetconstr @ X1447 @ X1448)))))=>(![X1452:$i, X1453:$i]:((((setadjoin @ X1452 @ emptyset)=(setadjoin @ X1453 @ emptyset))=>((X1452)=(X1453))))=>(![X1454:$i, X1455:$i, X1456:$i]:(((in @ (setadjoin @ X1456 @ emptyset) @ (setadjoin @ (setadjoin @ X1454 @ emptyset) @ (setadjoin @ (setadjoin @ X1454 @ (setadjoin @ X1455 @ emptyset)) @ emptyset)))=>((X1454)=(X1456))))=>(![X1457:$i]:(((iskpair @ X1457)=>(singleton @ (dsetconstr @ (setunion @ X1457) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1457)))))))=>(![X1458:$i]:(((singleton @ X1458)=>(in @ (setunion @ X1458) @ X1458)))=>(![X1459:$i, X1460:$i]:(((kfst @ (kpair @ X1459 @ X1460))=(X1459)))=>(![X1461:$i, X1462:$i, X1463:$i]:(((in @ X1463 @ (cartprod @ X1461 @ X1462))=>(in @ (kfst @ X1463) @ X1461)))=>(![X1464:$i, X1465:$i, X1466:$i, X1467:$i]:((((setadjoin @ (setadjoin @ X1464 @ emptyset) @ (setadjoin @ (setadjoin @ X1464 @ (setadjoin @ X1465 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1466 @ emptyset) @ (setadjoin @ (setadjoin @ X1466 @ (setadjoin @ X1467 @ emptyset)) @ emptyset)))=>((X1464)=(X1466))))=>(![X1468:$i, X1469:$i, X1470:$i, X1471:$i]:((((kpair @ X1468 @ X1469)=(kpair @ X1470 @ X1471))=>((X1468)=(X1470))))=>(![X1472:$i, X1473:$i]:((((X1472)=(X1473))=>((setadjoin @ X1472 @ (setadjoin @ X1473 @ emptyset))=(setadjoin @ X1472 @ emptyset))))=>(![X1474:$i, X1475:$i]:((((X1474)=(X1475))=>((setadjoin @ (setadjoin @ X1474 @ emptyset) @ (setadjoin @ (setadjoin @ X1474 @ (setadjoin @ X1475 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1474 @ emptyset) @ emptyset))))=>(![X1476:$i, X1477:$i, X1478:$i, X1479:$i]:((((setadjoin @ (setadjoin @ X1476 @ emptyset) @ (setadjoin @ (setadjoin @ X1476 @ (setadjoin @ X1477 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1478 @ emptyset) @ (setadjoin @ (setadjoin @ X1478 @ (setadjoin @ X1479 @ emptyset)) @ emptyset)))=>(((X1478)=(X1479))=>((X1477)=(X1479)))))=>(![X1480:$i, X1481:$i, X1482:$i]:((((setadjoin @ X1480 @ (setadjoin @ X1481 @ emptyset))=(setadjoin @ X1482 @ emptyset))=>((X1480)=(X1481))))=>(![X1483:$i, X1484:$i, X1485:$i, X1486:$i]:((((setadjoin @ (setadjoin @ X1483 @ emptyset) @ (setadjoin @ (setadjoin @ X1483 @ (setadjoin @ X1484 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1485 @ emptyset) @ (setadjoin @ (setadjoin @ X1485 @ (setadjoin @ X1486 @ emptyset)) @ emptyset)))=>((X1484)=(X1486))))=>(![X1487:$i, X1488:$i, X1489:$i, X1490:$i]:((((kpair @ X1487 @ X1488)=(kpair @ X1489 @ X1490))=>((X1488)=(X1490))))=>(![X1491:$i]:(((iskpair @ X1491)=>(singleton @ (dsetconstr @ (setunion @ X1491) @ (^[Z0:$i]:(((X1491)=(kpair @ (kfst @ X1491) @ Z0))))))))=>(![X1492:$i, X1493:$i]:(((ksnd @ (kpair @ X1492 @ X1493))=(X1493)))=>(![X1494:$i]:(((iskpair @ X1494)=>((kpair @ (kfst @ X1494) @ (ksnd @ X1494))=(X1494))))=>(![X1495:$i, X1496:$i, X1497:$i]:(((in @ X1497 @ (cartprod @ X1495 @ X1496))=>(in @ (ksnd @ X1497) @ X1496)))=>(![X1498:$i, X1499:$i, X1500:$i, X1501:$i]:(((in @ (kpair @ X1500 @ X1501) @ (cartprod @ X1498 @ X1499))=>(in @ X1500 @ X1498)))=>(![X1502:$i, X1503:$i, X1504:$i, X1505:$i]:(((in @ (kpair @ X1504 @ X1505) @ (cartprod @ X1502 @ X1503))=>(in @ X1505 @ X1503)))=>(![X1506:$i, X1507:$i, X1508:$i]:(((in @ X1508 @ X1506)=>![X1509:$i]:(((in @ X1509 @ X1507)=>((kpair @ X1508 @ X1509)=(kpair @ X1508 @ X1509))))))=>(![X1510:$i, X1511:$i, X1512:$i]:(((in @ X1512 @ X1510)=>![X1513:$i]:(((in @ X1513 @ X1511)=>((kfst @ (kpair @ X1512 @ X1513))=(X1512))))))=>(![X1514:$i, X1515:$i, X1516:$i]:(((in @ X1516 @ X1514)=>![X1517:$i]:(((in @ X1517 @ X1515)=>((ksnd @ (kpair @ X1516 @ X1517))=(X1517))))))=>(![X1518:$i, X1519:$i, X1520:$i]:(((in @ X1520 @ (cartprod @ X1518 @ X1519))=>((kpair @ (kfst @ X1520) @ (ksnd @ X1520))=(X1520))))=>(![X1521:$i, X1522:$i, X1523:$i > $i > $o, X1524:$i]:(((in @ X1524 @ X1521)=>![X1525:$i]:(((in @ X1525 @ X1522)=>((X1523 @ X1524 @ X1525)=>(in @ (kpair @ X1524 @ X1525) @ (dpsetconstr @ X1521 @ X1522 @ X1523)))))))=>(![X1526:$i, X1527:$i, X1528:$i > $i > $o]:((subset @ (dpsetconstr @ X1526 @ X1527 @ X1528) @ (cartprod @ X1526 @ X1527)))=>(![X1529:$i, X1530:$i, X1531:$i > $i > $o]:((subset @ (dpsetconstr @ X1529 @ X1530 @ X1531) @ (cartprod @ X1529 @ X1530)))=>(![X1532:$i, X1533:$i, X1534:$i > $i > $o, X1535:$i]:(((in @ X1535 @ X1532)=>![X1536:$i]:(((in @ X1536 @ X1533)=>((in @ (kpair @ X1535 @ X1536) @ (dpsetconstr @ X1532 @ X1533 @ X1534))=>(X1534 @ X1535 @ X1536))))))=>(![X1537:$i, X1538:$i, X1539:$i > $i > $o, X1540:$i, X1541:$i]:(((in @ (kpair @ X1540 @ X1541) @ (dpsetconstr @ X1537 @ X1538 @ X1539))=>(in @ X1540 @ X1537)))=>(![X1542:$i, X1543:$i, X1544:$i > $i > $o, X1545:$i, X1546:$i]:(((in @ (kpair @ X1545 @ X1546) @ (dpsetconstr @ X1542 @ X1543 @ X1544))=>(in @ X1546 @ X1543)))=>(![X1547:$i, X1548:$i, X1549:$i > $i > $o, X1550:$i, X1551:$i]:(((in @ (kpair @ X1550 @ X1551) @ (dpsetconstr @ X1547 @ X1548 @ X1549))=>(X1549 @ X1550 @ X1551)))=>(![X1552:$i, X1553:$i, X1554:$i]:(((func @ X1552 @ X1553 @ X1554)=>![X1555:$i]:(((in @ X1555 @ X1552)=>(singleton @ (dsetconstr @ X1553 @ (^[Z0:$i]:((in @ (kpair @ X1555 @ Z0) @ X1554)))))))))=>(![X1556:$i, X1557:$i, X1558:$i]:(((func @ X1556 @ X1557 @ X1558)=>![X1559:$i]:(((in @ X1559 @ X1556)=>(in @ (setunion @ (dsetconstr @ X1557 @ (^[Z0:$i]:((in @ (kpair @ X1559 @ Z0) @ X1558))))) @ X1557)))))=>(![X1560:$i, X1561:$i, X1562:$i]:(((func @ X1560 @ X1561 @ X1562)=>![X1563:$i]:(((in @ X1563 @ X1560)=>(in @ (ap @ X1560 @ X1561 @ X1562 @ X1563) @ X1561)))))=>(![X1564:$i, X1565:$i, X1566:$i]:(((in @ X1566 @ (funcSet @ X1564 @ X1565))=>(func @ X1564 @ X1565 @ X1566)))=>(![X1567:$i, X1568:$i, X1569:$i]:(((in @ X1569 @ (funcSet @ X1567 @ X1568))=>![X1570:$i]:(((in @ X1570 @ X1567)=>(in @ (ap @ X1567 @ X1568 @ X1569 @ X1570) @ X1568)))))=>(![X1571:$i, X1572:$i, X1573:$i]:(((func @ X1571 @ X1572 @ X1573)=>(in @ X1573 @ (funcSet @ X1571 @ X1572))))=>(![X1574:$i, X1575:$i, X1576:$i > $i]:((![X1577:$i]:(((in @ X1577 @ X1574)=>(in @ (X1576 @ X1577) @ X1575)))=>(func @ X1574 @ X1575 @ (dpsetconstr @ X1574 @ X1575 @ (^[Z0:$i]:($eq @ (X1576 @ Z0)))))))=>(![X1578:$i, X1579:$i, X1580:$i > $i]:((![X1581:$i]:(((in @ X1581 @ X1578)=>(in @ (X1580 @ X1581) @ X1579)))=>(func @ X1578 @ X1579 @ (lam @ X1578 @ X1579 @ X1580))))=>(![X1582:$i, X1583:$i, X1584:$i > $i]:((![X1585:$i]:(((in @ X1585 @ X1582)=>(in @ (X1584 @ X1585) @ X1583)))=>(in @ (lam @ X1582 @ X1583 @ X1584) @ (funcSet @ X1582 @ X1583))))=>(![X1586:$i, X1587:$i, X1588:$i]:(((subset @ X1588 @ (cartprod @ X1586 @ X1587))=>![X1589:$i > $o]:((![X1590:$i]:(((in @ X1590 @ X1586)=>![X1591:$i]:(((in @ X1591 @ X1587)=>((in @ (kpair @ X1590 @ X1591) @ X1588)=>(X1589 @ (kpair @ X1590 @ X1591)))))))=>![X1592:$i]:(((in @ X1592 @ X1588)=>(X1589 @ X1592)))))))=>(![X1593:$i, X1594:$i, X1595:$i]:(((subset @ X1595 @ (cartprod @ X1593 @ X1594))=>![X1596:$i > $o]:((![X1597:$i]:(((in @ X1597 @ X1593)=>![X1598:$i]:(((in @ X1598 @ X1594)=>((in @ (kpair @ X1597 @ X1598) @ X1595)=>(X1596 @ (kpair @ X1597 @ X1598)))))))=>![X1599:$i]:(((in @ X1599 @ X1595)=>(X1596 @ X1599)))))))=>(![X1600:$i, X1601:$i > $o]:(((singleton @ (dsetconstr @ X1600 @ X1601))=>![X1602:$i]:(((in @ X1602 @ X1600)=>![X1603:$i]:(((in @ X1603 @ X1600)=>((X1601 @ X1602)=>((X1601 @ X1603)=>((X1602)=(X1603))))))))))=>(![X1604:$i, X1605:$i, X1606:$i]:(((func @ X1604 @ X1605 @ X1606)=>![X1607:$i]:(((in @ X1607 @ X1604)=>(in @ (kpair @ X1607 @ (ap @ X1604 @ X1605 @ X1606 @ X1607)) @ X1606)))))=>(![X1608:$i, X1609:$i, X1610:$i]:(((in @ X1610 @ (funcSet @ X1608 @ X1609))=>![X1611:$i]:(((in @ X1611 @ X1608)=>(in @ (kpair @ X1611 @ (ap @ X1608 @ X1609 @ X1610 @ X1611)) @ X1610)))))=>(![X1612:$i, X1613:$i, X1614:$i]:(((func @ X1612 @ X1613 @ X1614)=>![X1615:$i]:(((in @ X1615 @ X1612)=>![X1616:$i]:(((in @ X1616 @ X1613)=>((in @ (kpair @ X1615 @ X1616) @ X1614)=>((ap @ X1612 @ X1613 @ X1614 @ X1615)=(X1616)))))))))=>(![X1617:$i, X1618:$i, X1619:$i]:(((func @ X1617 @ X1618 @ X1619)=>![X1620:$i]:(((func @ X1617 @ X1618 @ X1620)=>(![X1621:$i]:(((in @ X1621 @ X1617)=>((ap @ X1617 @ X1618 @ X1619 @ X1621)=(ap @ X1617 @ X1618 @ X1620 @ X1621))))=>![X1622:$i]:(((in @ X1622 @ X1617)=>![X1623:$i]:(((in @ X1623 @ X1618)=>((in @ (kpair @ X1622 @ X1623) @ X1620)=>(in @ (kpair @ X1622 @ X1623) @ X1619)))))))))))=>(![X1624:$i, X1625:$i, X1626:$i]:(((in @ X1626 @ (funcSet @ X1624 @ X1625))=>![X1627:$i]:(((in @ X1627 @ X1624)=>![X1628:$i]:(((in @ X1628 @ X1625)=>((in @ (kpair @ X1627 @ X1628) @ X1626)=>((ap @ X1624 @ X1625 @ X1626 @ X1627)=(X1628)))))))))=>(![X1629:$i, X1630:$i, X1631:$i]:(((subset @ X1631 @ (cartprod @ X1629 @ X1630))=>![X1632:$i]:(((subset @ X1632 @ (cartprod @ X1629 @ X1630))=>(![X1633:$i]:(((in @ X1633 @ X1629)=>![X1634:$i]:(((in @ X1634 @ X1630)=>((in @ (kpair @ X1633 @ X1634) @ X1631)=>(in @ (kpair @ X1633 @ X1634) @ X1632))))))=>(subset @ X1631 @ X1632))))))=>(![X1635:$i, X1636:$i, X1637:$i]:(((subset @ X1637 @ (cartprod @ X1635 @ X1636))=>![X1638:$i]:(((subset @ X1638 @ (cartprod @ X1635 @ X1636))=>(![X1639:$i]:(((in @ X1639 @ X1635)=>![X1640:$i]:(((in @ X1640 @ X1636)=>((in @ (kpair @ X1639 @ X1640) @ X1637)=>(in @ (kpair @ X1639 @ X1640) @ X1638))))))=>(![X1641:$i]:(((in @ X1641 @ X1635)=>![X1642:$i]:(((in @ X1642 @ X1636)=>((in @ (kpair @ X1641 @ X1642) @ X1638)=>(in @ (kpair @ X1641 @ X1642) @ X1637))))))=>((X1637)=(X1638))))))))=>(![X1643:$i, X1644:$i, X1645:$i]:(((func @ X1643 @ X1644 @ X1645)=>![X1646:$i]:(((func @ X1643 @ X1644 @ X1646)=>(![X1647:$i]:(((in @ X1647 @ X1643)=>((ap @ X1643 @ X1644 @ X1645 @ X1647)=(ap @ X1643 @ X1644 @ X1646 @ X1647))))=>((X1645)=(X1646)))))))=>(![X1648:$i, X1649:$i, X1650:$i]:(((in @ X1650 @ (funcSet @ X1648 @ X1649))=>![X1651:$i]:(((in @ X1651 @ (funcSet @ X1648 @ X1649))=>(![X1652:$i]:(((in @ X1652 @ X1648)=>((ap @ X1648 @ X1649 @ X1650 @ X1652)=(ap @ X1648 @ X1649 @ X1651 @ X1652))))=>((X1650)=(X1651)))))))=>(![X1653:$i, X1654:$i, X1655:$i]:(((in @ X1655 @ (funcSet @ X1653 @ X1654))=>![X1656:$i]:(((in @ X1656 @ X1653)=>((ap @ X1653 @ X1654 @ X1655 @ X1656)=(ap @ X1653 @ X1654 @ X1655 @ X1656))))))=>(![X1657:$i, X1658:$i, X1659:$i]:(((func @ X1657 @ X1658 @ X1659)=>![X1660:$i]:(((in @ X1660 @ X1657)=>((ap @ X1657 @ X1658 @ X1659 @ X1660)=(ap @ X1657 @ X1658 @ X1659 @ X1660))))))=>(![X1661:$i, X1662:$i, X1663:$i > $i]:((![X1664:$i]:(((in @ X1664 @ X1661)=>(in @ (X1663 @ X1664) @ X1662)))=>![X1665:$i]:(((in @ X1665 @ X1661)=>((ap @ X1661 @ X1662 @ (lam @ X1661 @ X1662 @ X1663) @ X1665)=(X1663 @ X1665))))))=>(![X1666:$i, X1667:$i, X1668:$i]:(((func @ X1666 @ X1667 @ X1668)=>((lam @ X1666 @ X1667 @ (ap @ X1666 @ X1667 @ X1668))=(X1668))))=>(![X1669:$i, X1670:$i, X1671:$i > $i]:((![X1672:$i]:(((in @ X1672 @ X1669)=>(in @ (X1671 @ X1672) @ X1670)))=>((lam @ X1669 @ X1670 @ X1671)=(lam @ X1669 @ X1670 @ X1671))))=>(![X1673:$i, X1674:$i, X1675:$i > $i]:((![X1676:$i]:(((in @ X1676 @ X1673)=>(in @ (X1675 @ X1676) @ X1674)))=>![X1677:$i]:(((in @ X1677 @ X1673)=>((ap @ X1673 @ X1674 @ (lam @ X1673 @ X1674 @ X1675) @ X1677)=(X1675 @ X1677))))))=>(![X1678:$i, X1679:$i, X1680:$i]:(((in @ X1680 @ (funcSet @ X1678 @ X1679))=>((lam @ X1678 @ X1679 @ (ap @ X1678 @ X1679 @ X1680))=(X1680))))=>(![X1681:$i, X1682:$o, X1683:$i]:(((in @ X1683 @ X1681)=>![X1684:$i]:(((in @ X1684 @ X1681)=>(~(X1682)=>(in @ X1684 @ (dsetconstr @ X1681 @ (^[Z0:$i]:((((((X1682))&(((Z0)=(X1683)))))|(((~((X1682)))&(((Z0)=(X1684)))))))))))))))=>(![X1685:$i, X1686:$o, X1687:$i]:(((in @ X1687 @ X1685)=>![X1688:$i]:(((in @ X1688 @ X1685)=>(~(X1686)=>((dsetconstr @ X1685 @ (^[Z0:$i]:((((((X1686))&(((Z0)=(X1687)))))|(((~((X1686)))&(((Z0)=(X1688)))))))))=(setadjoin @ X1688 @ emptyset)))))))=>(![X1689:$i, X1690:$o, X1691:$i]:(((in @ X1691 @ X1689)=>![X1692:$i]:(((in @ X1692 @ X1689)=>((X1690)=>(in @ X1691 @ (dsetconstr @ X1689 @ (^[Z0:$i]:((((((X1690))&(((Z0)=(X1691)))))|(((~((X1690)))&(((Z0)=(X1692)))))))))))))))=>(![X1693:$i, X1694:$o, X1695:$i]:(((in @ X1695 @ X1693)=>![X1696:$i]:(((in @ X1696 @ X1693)=>((X1694)=>((dsetconstr @ X1693 @ (^[Z0:$i]:((((((X1694))&(((Z0)=(X1695)))))|(((~((X1694)))&(((Z0)=(X1696)))))))))=(setadjoin @ X1695 @ emptyset)))))))=>(![X1697:$i, X1698:$o, X1699:$i]:(((in @ X1699 @ X1697)=>![X1700:$i]:(((in @ X1700 @ X1697)=>(singleton @ (dsetconstr @ X1697 @ (^[Z0:$i]:((((((X1698))&(((Z0)=(X1699)))))|(((~((X1698)))&(((Z0)=(X1700))))))))))))))=>(![X1701:$i, X1702:$o, X1703:$i]:(((in @ X1703 @ X1701)=>![X1704:$i]:(((in @ X1704 @ X1701)=>(in @ (if @ X1701 @ ((X1702)) @ X1703 @ X1704) @ X1701)))))=>(![X1705:$i]:(((singleton @ X1705)=>![X1706:$i]:(((in @ X1706 @ X1705)=>((setunion @ X1705)=(X1706))))))=>(![X1707:$i, X1708:$o, X1709:$i]:(((in @ X1709 @ X1707)=>![X1710:$i]:(((in @ X1710 @ X1707)=>((X1708)=>((if @ X1707 @ ((X1708)) @ X1709 @ X1710)=(X1709)))))))=>(![X1711:$i, X1712:$o, X1713:$i]:(((in @ X1713 @ X1711)=>![X1714:$i]:(((in @ X1714 @ X1711)=>(~(X1712)=>((if @ X1711 @ ((X1712)) @ X1713 @ X1714)=(X1714)))))))=>(![X1715:$i, X1716:$o, X1717:$i]:(((in @ X1717 @ X1715)=>![X1718:$i]:(((in @ X1718 @ X1715)=>(in @ (if @ X1715 @ ((X1716)) @ X1717 @ X1718) @ (setadjoin @ X1717 @ (setadjoin @ X1718 @ emptyset)))))))=>(![X1719:$i, X1720:$i]:(((in @ X1720 @ (powerset @ X1719))=>![X1721:$i]:(((in @ X1721 @ (powerset @ X1719))=>(in @ (binintersect @ X1720 @ X1721) @ (powerset @ X1719))))))=>(![X1722:$i, X1723:$i]:(((in @ X1723 @ (powerset @ X1722))=>![X1724:$i]:(((in @ X1724 @ (powerset @ X1722))=>(in @ (binunion @ X1723 @ X1724) @ (powerset @ X1722))))))=>(![X1725:$i, X1726:$i]:(((in @ X1726 @ (powerset @ X1725))=>(in @ (powerset @ X1726) @ (powerset @ (powerset @ X1725)))))=>(![X1727:$i, X1728:$i]:(((in @ X1728 @ (powerset @ X1727))=>![X1729:$i]:(((in @ X1729 @ (powerset @ X1727))=>(in @ (setminus @ X1728 @ X1729) @ (powerset @ X1727))))))=>(![X1730:$i, X1731:$i]:(((in @ X1731 @ (powerset @ X1730))=>(in @ (setminus @ X1730 @ X1731) @ (powerset @ X1730))))=>(![X1732:$i, X1733:$i]:(((in @ X1733 @ (powerset @ X1732))=>![X1734:$i]:(((in @ X1734 @ (powerset @ X1732))=>(![X1735:$i]:(((in @ X1735 @ X1732)=>((in @ X1735 @ X1733)=>(in @ X1735 @ X1734))))=>(![X1736:$i]:(((in @ X1736 @ X1732)=>((in @ X1736 @ X1734)=>(in @ X1736 @ X1733))))=>((X1733)=(X1734))))))))=>(![X1737:$i, X1738:$i]:(((in @ X1738 @ (powerset @ X1737))=>![X1739:$i]:(((in @ X1739 @ (powerset @ X1737))=>(![X1740:$i]:(((in @ X1740 @ X1737)=>((in @ X1740 @ X1738)=>(in @ X1740 @ X1739))))=>(subset @ X1738 @ X1739))))))=>(![X1741:$i, X1742:$i]:(((in @ X1742 @ (powerset @ X1741))=>![X1743:$i]:(((in @ X1743 @ (powerset @ X1741))=>(![X1744:$i]:(((in @ X1744 @ X1741)=>((in @ X1744 @ X1742)=>(in @ X1744 @ X1743))))=>(in @ X1742 @ (powerset @ X1743)))))))=>(![X1745:$i, X1746:$i]:(((in @ X1746 @ (powerset @ X1745))=>![X1747:$i]:(((in @ X1747 @ (powerset @ X1745))=>![X1748:$i]:(((in @ X1748 @ X1745)=>((in @ X1746 @ (powerset @ X1747))=>((in @ X1748 @ X1746)=>(in @ X1748 @ X1747)))))))))=>(![X1749:$i, X1750:$i]:(((in @ X1750 @ (powerset @ X1749))=>![X1751:$i]:(((in @ X1751 @ X1749)=>((in @ X1751 @ X1750)=>~(in @ X1751 @ (setminus @ X1749 @ X1750)))))))=>(![X1752:$i, X1753:$i]:(((in @ X1753 @ (powerset @ X1752))=>![X1754:$i]:(((in @ X1754 @ X1752)=>(~(in @ X1754 @ (setminus @ X1752 @ X1753))=>(in @ X1754 @ X1753))))))=>(![X1755:$i, X1756:$i]:(((in @ X1756 @ (powerset @ X1755))=>![X1757:$i]:(((in @ X1757 @ (powerset @ X1755))=>![X1758:$i]:(((in @ X1758 @ X1755)=>(~(in @ X1758 @ X1756)=>~(in @ X1758 @ (binintersect @ X1756 @ X1757)))))))))=>(![X1759:$i, X1760:$i]:(((in @ X1760 @ (powerset @ X1759))=>![X1761:$i]:(((in @ X1761 @ (powerset @ X1759))=>![X1762:$i]:(((in @ X1762 @ X1759)=>(~(in @ X1762 @ X1761)=>~(in @ X1762 @ (binintersect @ X1760 @ X1761)))))))))=>(![X1763:$i, X1764:$i]:(((in @ X1764 @ (powerset @ X1763))=>![X1765:$i]:(((in @ X1765 @ (powerset @ X1763))=>![X1766:$i]:(((in @ X1766 @ X1763)=>((subset @ X1764 @ (setminus @ X1763 @ X1765))=>((in @ X1766 @ X1765)=>~(in @ X1766 @ X1764)))))))))=>(![X1767:$i, X1768:$i]:(((in @ X1768 @ (powerset @ X1767))=>![X1769:$i]:(((in @ X1769 @ (powerset @ X1767))=>![X1770:$i]:(((in @ X1770 @ X1767)=>((subset @ X1768 @ X1769)=>(~(in @ X1770 @ X1769)=>~(in @ X1770 @ X1768)))))))))=>(![X1771:$i, X1772:$i]:(((in @ X1772 @ (powerset @ X1771))=>![X1773:$i]:(((in @ X1773 @ (powerset @ X1771))=>((subset @ X1772 @ X1773)=>(subset @ (setminus @ X1771 @ X1773) @ (setminus @ X1771 @ X1772)))))))=>(![X1774:$i, X1775:$i]:(((in @ X1775 @ (powerset @ X1774))=>![X1776:$i]:(((in @ X1776 @ (powerset @ X1774))=>((subset @ (setminus @ X1774 @ X1776) @ (setminus @ X1774 @ X1775))=>(subset @ X1775 @ X1776))))))=>(![X1777:$i, X1778:$i]:(((in @ X1778 @ (powerset @ X1777))=>![X1779:$i]:(((in @ X1779 @ X1777)=>((in @ X1779 @ X1778)=>(in @ X1779 @ (setminus @ X1777 @ (setminus @ X1777 @ X1778))))))))=>(![X1780:$i, X1781:$i]:(((in @ X1781 @ (powerset @ X1780))=>![X1782:$i]:(((in @ X1782 @ X1780)=>((in @ X1782 @ (setminus @ X1780 @ (setminus @ X1780 @ X1781)))=>(in @ X1782 @ X1781))))))=>(![X1783:$i, X1784:$i]:(((in @ X1784 @ (powerset @ X1783))=>(subset @ X1784 @ (setminus @ X1783 @ (setminus @ X1783 @ X1784)))))=>(![X1785:$i, X1786:$i]:(((in @ X1786 @ (powerset @ X1785))=>(subset @ (setminus @ X1785 @ (setminus @ X1785 @ X1786)) @ X1786)))=>(![X1787:$i, X1788:$i]:(((in @ X1788 @ (powerset @ X1787))=>((X1788)=(setminus @ X1787 @ (setminus @ X1787 @ X1788)))))=>(![X1789:$i, X1790:$i]:(((in @ X1790 @ (powerset @ X1789))=>![X1791:$i]:(((in @ X1791 @ (powerset @ X1789))=>![X1792:$i]:(((in @ X1792 @ X1789)=>((in @ X1792 @ (setminus @ X1789 @ X1790))=>~(in @ X1792 @ (binintersect @ X1790 @ X1791)))))))))=>(![X1793:$i, X1794:$i]:(((in @ X1794 @ (powerset @ X1793))=>![X1795:$i]:(((in @ X1795 @ (powerset @ X1793))=>![X1796:$i]:(((in @ X1796 @ X1793)=>((in @ X1796 @ (setminus @ X1793 @ X1794))=>(in @ X1796 @ (setminus @ X1793 @ (binintersect @ X1794 @ X1795))))))))))=>(![X1797:$i, X1798:$i]:(((in @ X1798 @ (powerset @ X1797))=>![X1799:$i]:(((in @ X1799 @ (powerset @ X1797))=>(subset @ (setminus @ X1797 @ X1798) @ (setminus @ X1797 @ (binintersect @ X1798 @ X1799)))))))=>(![X1800:$i, X1801:$i]:(((in @ X1801 @ (powerset @ X1800))=>![X1802:$i]:(((in @ X1802 @ (powerset @ X1800))=>(in @ (setminus @ X1800 @ X1801) @ (powerset @ (setminus @ X1800 @ (binintersect @ X1801 @ X1802))))))))=>(![X1803:$i, X1804:$i]:(((in @ X1804 @ (powerset @ X1803))=>![X1805:$i]:(((in @ X1805 @ (powerset @ X1803))=>((subset @ X1804 @ (setminus @ X1803 @ X1805))=>![X1806:$i]:(((in @ X1806 @ X1803)=>((in @ X1806 @ X1805)=>(in @ X1806 @ (setminus @ X1803 @ X1804))))))))))=>(![X1807:$i, X1808:$i]:(((in @ X1808 @ (powerset @ X1807))=>![X1809:$i]:(((in @ X1809 @ (powerset @ X1807))=>((subset @ X1808 @ (setminus @ X1807 @ X1809))=>(subset @ X1809 @ (setminus @ X1807 @ X1808)))))))=>(![X1810:$i, X1811:$i]:(((in @ X1811 @ (powerset @ X1810))=>![X1812:$i]:(((in @ X1812 @ (powerset @ X1810))=>![X1813:$i]:(((in @ X1813 @ X1810)=>(~(in @ X1813 @ (binunion @ X1811 @ X1812))=>~(in @ X1813 @ X1811))))))))=>(![X1814:$i, X1815:$i]:(((in @ X1815 @ (powerset @ X1814))=>![X1816:$i]:(((in @ X1816 @ (powerset @ X1814))=>![X1817:$i]:(((in @ X1817 @ X1814)=>(~(in @ X1817 @ (binunion @ X1815 @ X1816))=>~(in @ X1817 @ X1816))))))))=>(![X1818:$i, X1819:$i]:(((in @ X1819 @ (powerset @ X1818))=>![X1820:$i]:(((in @ X1820 @ (powerset @ X1818))=>![X1821:$i]:(((in @ X1821 @ (powerset @ X1818))=>![X1822:$i]:(((in @ X1822 @ X1818)=>((in @ X1822 @ (binintersect @ X1819 @ X1820))=>(in @ X1822 @ (binunion @ X1819 @ X1821)))))))))))=>(![X1823:$i, X1824:$i]:(((in @ X1824 @ (powerset @ X1823))=>![X1825:$i]:(((in @ X1825 @ (powerset @ X1823))=>![X1826:$i]:(((in @ X1826 @ (powerset @ X1823))=>![X1827:$i]:(((in @ X1827 @ X1823)=>((in @ X1827 @ (binintersect @ X1824 @ X1825))=>(in @ X1827 @ (binunion @ X1825 @ X1826)))))))))))=>(![X1828:$i, X1829:$i]:(((in @ X1829 @ (powerset @ X1828))=>![X1830:$i]:(((in @ X1830 @ (powerset @ X1828))=>![X1831:$i]:(((in @ X1831 @ (powerset @ X1828))=>![X1832:$i]:(((in @ X1832 @ X1828)=>((in @ X1832 @ (binintersect @ X1829 @ X1830))=>(in @ X1832 @ (binintersect @ (binunion @ X1829 @ X1831) @ (binunion @ X1830 @ X1831))))))))))))=>(![X1833:$i, X1834:$i]:(((in @ X1834 @ (powerset @ X1833))=>![X1835:$i]:(((in @ X1835 @ (powerset @ X1833))=>![X1836:$i]:(((in @ X1836 @ (powerset @ X1833))=>(in @ (binintersect @ X1834 @ X1835) @ (powerset @ (binintersect @ (binunion @ X1834 @ X1836) @ (binunion @ X1835 @ X1836))))))))))=>(![X1837:$i, X1838:$i]:(((in @ X1838 @ (powerset @ X1837))=>![X1839:$i]:(((in @ X1839 @ (powerset @ X1837))=>![X1840:$i]:(((in @ X1840 @ X1837)=>((in @ X1840 @ (setminus @ X1837 @ (binunion @ X1838 @ X1839)))=>~(in @ X1840 @ X1838))))))))=>(![X1841:$i, X1842:$i]:(((in @ X1842 @ (powerset @ X1841))=>![X1843:$i]:(((in @ X1843 @ (powerset @ X1841))=>![X1844:$i]:(((in @ X1844 @ X1841)=>((in @ X1844 @ (setminus @ X1841 @ (binunion @ X1842 @ X1843)))=>(in @ X1844 @ (setminus @ X1841 @ X1842)))))))))=>(![X1845:$i, X1846:$i]:(((in @ X1846 @ (powerset @ X1845))=>![X1847:$i]:(((in @ X1847 @ (powerset @ X1845))=>![X1848:$o, X1849:$i]:(((in @ X1849 @ X1845)=>((in @ X1849 @ (binunion @ X1846 @ X1847))=>(((in @ X1849 @ X1846)=>(X1848))=>(((in @ X1849 @ X1847)=>(X1848))=>(X1848))))))))))=>(![X1850:$i, X1851:$i]:(((in @ X1851 @ (powerset @ X1850))=>![X1852:$i]:(((in @ X1852 @ (powerset @ X1850))=>![X1853:$i]:(((in @ X1853 @ X1850)=>(~(in @ X1853 @ X1851)=>(~(in @ X1853 @ X1852)=>~(in @ X1853 @ (binunion @ X1851 @ X1852))))))))))=>(![X1854:$i, X1855:$i]:(((in @ X1855 @ (powerset @ X1854))=>![X1856:$i]:(((in @ X1856 @ (powerset @ X1854))=>![X1857:$i]:(((in @ X1857 @ X1854)=>((in @ X1857 @ (setminus @ X1854 @ (binunion @ X1855 @ X1856)))=>(in @ X1857 @ (setminus @ X1854 @ X1855)))))))))=>(![X1858:$i, X1859:$i]:(((in @ X1859 @ (powerset @ X1858))=>![X1860:$i]:(((in @ X1860 @ (powerset @ X1858))=>(in @ (setminus @ X1858 @ (binunion @ X1859 @ X1860)) @ (powerset @ (setminus @ X1858 @ X1859)))))))=>(![X1861:$i, X1862:$i]:(((in @ X1862 @ (powerset @ X1861))=>![X1863:$i]:(((in @ X1863 @ (powerset @ X1861))=>![X1864:$i]:(((in @ X1864 @ X1861)=>((in @ X1864 @ (setminus @ X1861 @ (binunion @ X1862 @ X1863)))=>(in @ X1864 @ (setminus @ X1861 @ X1863)))))))))=>(![X1865:$i, X1866:$i]:(((in @ X1866 @ (powerset @ X1865))=>![X1867:$i]:(((in @ X1867 @ (powerset @ X1865))=>![X1868:$i]:(((in @ X1868 @ X1865)=>((in @ X1868 @ (setminus @ X1865 @ (binintersect @ X1866 @ X1867)))=>(in @ X1868 @ (binunion @ (setminus @ X1865 @ X1866) @ (setminus @ X1865 @ X1867))))))))))=>(![X1869:$i, X1870:$i]:(((in @ X1870 @ (powerset @ X1869))=>![X1871:$i]:(((in @ X1871 @ (powerset @ X1869))=>![X1872:$i]:(((in @ X1872 @ X1869)=>((in @ X1872 @ (binunion @ (setminus @ X1869 @ X1870) @ (setminus @ X1869 @ X1871)))=>(in @ X1872 @ (setminus @ X1869 @ (binintersect @ X1870 @ X1871))))))))))=>(![X1873:$i, X1874:$i]:(((in @ X1874 @ (powerset @ X1873))=>![X1875:$i]:(((in @ X1875 @ (powerset @ X1873))=>((setminus @ X1873 @ (binintersect @ X1874 @ X1875))=(binunion @ (setminus @ X1873 @ X1874) @ (setminus @ X1873 @ X1875)))))))=>(![X1876:$i, X1877:$i]:(((in @ X1877 @ (powerset @ X1876))=>![X1878:$i]:(((in @ X1878 @ (powerset @ X1876))=>![X1879:$i]:(((in @ X1879 @ X1876)=>((in @ X1879 @ (setminus @ X1876 @ (binunion @ X1877 @ X1878)))=>(in @ X1879 @ (binintersect @ (setminus @ X1876 @ X1877) @ (setminus @ X1876 @ X1878))))))))))=>(![X1880:$i, X1881:$i]:(((in @ X1881 @ (powerset @ X1880))=>![X1882:$i]:(((in @ X1882 @ (powerset @ X1880))=>![X1883:$i]:(((in @ X1883 @ X1880)=>((in @ X1883 @ (setminus @ X1880 @ X1881))=>((in @ X1883 @ (setminus @ X1880 @ X1882))=>(in @ X1883 @ (setminus @ X1880 @ (binunion @ X1881 @ X1882)))))))))))=>(![X1884:$i, X1885:$i]:(((in @ X1885 @ (powerset @ X1884))=>![X1886:$i]:(((in @ X1886 @ (powerset @ X1884))=>![X1887:$i]:(((in @ X1887 @ X1884)=>((in @ X1887 @ (binintersect @ (setminus @ X1884 @ X1885) @ (setminus @ X1884 @ X1886)))=>(in @ X1887 @ (setminus @ X1884 @ (binunion @ X1885 @ X1886))))))))))=>(![X1888:$i, X1889:$i]:(((in @ X1889 @ (powerset @ X1888))=>![X1890:$i]:(((in @ X1890 @ (powerset @ X1888))=>((setminus @ X1888 @ (binunion @ X1889 @ X1890))=(binintersect @ (setminus @ X1888 @ X1889) @ (setminus @ X1888 @ X1890)))))))=>(![X1891:$i, X1892:$i]:(((in @ X1892 @ (powerset @ X1891))=>![X1893:$i]:(((in @ X1893 @ (powerset @ X1891))=>![X1894:$i]:(((in @ X1894 @ (binintersect @ X1892 @ X1893))=>(in @ X1894 @ X1891)))))))=>(![X1895:$i, X1896:$i]:(((in @ X1896 @ (powerset @ X1895))=>![X1897:$i]:(((in @ X1897 @ (powerset @ X1895))=>![X1898:$i]:(((in @ X1898 @ (powerset @ X1895))=>((subset @ X1896 @ X1898)=>(subset @ (binintersect @ X1896 @ X1897) @ X1898))))))))=>(![X1899:$i, X1900:$i]:(((in @ X1900 @ (powerset @ X1899))=>![X1901:$i]:(((in @ X1901 @ (powerset @ X1899))=>![X1902:$i]:(((in @ X1902 @ (powerset @ X1899))=>((subset @ X1901 @ X1902)=>(subset @ (binintersect @ X1900 @ X1901) @ X1902))))))))=>(![X1903:$i, X1904:$i]:(((in @ X1904 @ (powerset @ X1903))=>![X1905:$i]:(((in @ X1905 @ (powerset @ X1903))=>![X1906:$i]:(((in @ X1906 @ (powerset @ X1903))=>((subset @ X1904 @ X1905)=>((subset @ X1904 @ X1906)=>(subset @ X1904 @ (binintersect @ X1905 @ X1906))))))))))=>(![X1907:$i, X1908:$i]:(((in @ X1908 @ (powerset @ X1907))=>![X1909:$i]:(((in @ X1909 @ (powerset @ X1907))=>![X1910:$i]:(((in @ X1910 @ (powerset @ X1907))=>![X1911:$i]:(((in @ X1911 @ (powerset @ X1907))=>((subset @ X1908 @ X1910)=>((subset @ X1909 @ X1911)=>(subset @ (binintersect @ X1908 @ X1909) @ (binintersect @ X1910 @ X1911))))))))))))=>(![X1912:$i, X1913:$i]:(((in @ X1913 @ (powerset @ X1912))=>![X1914:$i]:(((in @ X1914 @ (powerset @ X1912))=>(in @ (setminus @ X1912 @ X1913) @ (powerset @ (setminus @ X1912 @ (binintersect @ X1913 @ X1914))))))))=>(![X1915:$i, X1916:$i]:(((in @ X1916 @ (powerset @ X1915))=>![X1917:$i]:(((in @ X1917 @ (powerset @ X1915))=>![X1918:$i]:(((in @ X1918 @ (powerset @ X1915))=>![X1919:$i]:(((in @ X1919 @ (powerset @ X1915))=>((setminus @ X1915 @ (binintersect @ (binunion @ X1916 @ X1917) @ (binunion @ X1918 @ X1919)))=(binunion @ (binintersect @ (setminus @ X1915 @ X1916) @ (setminus @ X1915 @ X1917)) @ (binintersect @ (setminus @ X1915 @ X1918) @ (setminus @ X1915 @ X1919))))))))))))=>(![X1920:$i, X1921:$i]:(((in @ X1921 @ (powerset @ X1920))=>![X1922:$i]:(((in @ X1922 @ (powerset @ X1920))=>![X1923:$i]:(((in @ X1923 @ (powerset @ X1920))=>(in @ (binintersect @ X1921 @ X1922) @ (powerset @ (binintersect @ (binunion @ X1921 @ X1923) @ (binunion @ X1922 @ X1923))))))))))=>(![X1924:$i, X1925:$i]:(((in @ X1925 @ (powerset @ X1924))=>![X1926:$i]:(((in @ X1926 @ (powerset @ X1924))=>((subset @ X1925 @ (setminus @ X1924 @ X1926))=>(subset @ X1926 @ (setminus @ X1924 @ X1925)))))))=>(![X1927:$i, X1928:$i]:(((in @ X1928 @ (powerset @ X1927))=>![X1929:$i]:(((in @ X1929 @ (powerset @ X1927))=>(in @ (setminus @ X1927 @ (binunion @ X1928 @ X1929)) @ (powerset @ (setminus @ X1927 @ X1928)))))))=>(![X1930:$i, X1931:$i]:(((subset @ X1931 @ (cartprod @ X1930 @ X1930))=>![X1932:$i > $o]:((![X1933:$i]:(((in @ X1933 @ X1930)=>![X1934:$i]:(((in @ X1934 @ X1930)=>((in @ (kpair @ X1933 @ X1934) @ X1931)=>(X1932 @ (kpair @ X1933 @ X1934)))))))=>![X1935:$i]:(((in @ X1935 @ X1931)=>(X1932 @ X1935)))))))=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(subset @ X33 @ (cartprod @ X4 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_316, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_317]), foundationAx]), wellorderingAx]), c_0_318]), c_0_319]), c_0_320]), c_0_321]), c_0_322]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_323]), setext]), emptyI]), noeltsimpempty]), c_0_324]), c_0_325]), c_0_326]), c_0_327]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_328]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_329]), c_0_330]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_331]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_332]), c_0_333]), c_0_334]), inCongP]), in__Cong]), c_0_335]), c_0_336]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_337]), c_0_338]), c_0_339]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_340]), c_0_341]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), kpairiskpair]), kpairp]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), cartprodmempair]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_342]), c_0_343]), c_0_344]), c_0_345]), singletonsuniq]), setukpairinjL1]), c_0_346]), theprop]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_347]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_348]), c_0_349]), c_0_350]), c_0_351]), c_0_352]), c_0_353]), c_0_354]), c_0_355]), c_0_356]), app]), infuncsetfunc]), ap2p]), funcinfuncset]), c_0_357]), c_0_358]), c_0_359]), c_0_360]), c_0_361]), c_0_362]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), c_0_363]), c_0_364]), funcext]), funcext2]), ap2apEq1]), ap2apEq2]), c_0_365]), c_0_366]), c_0_367]), c_0_368]), c_0_369]), c_0_370]), c_0_371]), c_0_372]), c_0_373]), c_0_374]), 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]), c_0_315]), c_0_375])])]), c_0_376])).
% 1.79/0.59 thf(c_0_378, plain, ![X1936:$i]:(((breln1Set @ X1936)=(dsetconstr @ (powerset @ (cartprod @ X1936 @ X1936)) @ (^[Z0:$i]:((subset @ Z0 @ (cartprod @ X1936 @ X1936))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[breln1Set]), c_0_315])])).
% 1.79/0.59 thf(c_0_379, negated_conjecture, ![X1938:$i, X1939:$i, X1941:$i, X1942:$i, X1943:$i, X1944:$i, X1945:$i, X1946:$i, X1947:$i, X1948:$i, X1949:$i, X1951:$i, X1952:$i, X1954:$i, X1955:$i, X1956:$i, X1957:$i, X1958:$i, X1960:$i, X1961:$i > $i > $o, X1962:$i, X1964:$i, X1967:$i, X1969:$i, X1970:$i, X1971:$i, X1972:$i, X1974:$i, X1975:$i > $o, X1976:$i, X1978:$i, X1979:$i > $o, X1980:$i, X1981:$i, X1982:$i > $o, X1983:$i, X1984:$i, X1985:$i > $o, X1986:$i, X1987:$i > $o, X1988:$i, X1991:$i, X1992:$o, X1993:$i, X1994:$i, X1995:$o, X1996:$i, X1997:$i, X1998:$i > $o, X1999:$i, X2002:$i, X2003:$i, X2006:$i, X2008:$i, X2010:$i, X2011:$i > $o, X2012:$i, X2013:$i, X2015:$i, X2016:$i > $o, X2017:$i, X2018:$i, X2019:$i, X2020:$i, X2021:$i, X2022:$i, X2023:$i, X2024:$i, X2025:$i, X2026:$i, X2027:$i, X2028:$o, X2029:$i, X2030:$i, X2031:$i, X2032:$i, X2033:$i, X2034:$i, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2040:$i, X2041:$i, X2042:$i, X2043:$i, X2044:$i, X2045:$i, X2046:$o, X2048:$i, X2049:$i, X2050:$i > $o, X2051:$i, X2054:$i, X2055:$i, X2056:$i, X2058:$i, X2059:$i, X2060:$i, X2061:$i, X2062:$i, X2063:$i, X2064:$i, X2065:$i, X2066:$i, X2067:$i, X2068:$i, X2069:$i, X2070:$i, X2071:$i, X2072:$i, X2073:$i, X2074:$i > $o, X2075:$i, X2076:$i > $o, X2077:$i, X2078:$i, X2079:$i > $o, X2080:$i, X2082:$i, X2083:$i > $o, X2085:$i, X2086:$i, X2087:$i > $o, X2089:$i, X2090:$i, X2091:$i > $o, X2092:$i, X2094:$o, X2095:$o, X2096:$i, X2097:$i > $o, X2099:$i, X2100:$i, X2101:$i > $o, X2102:$i, X2104:$i > $o, X2105:$i, X2108:$i, X2109:$i > $o, X2110:$i, X2114:$i, X2115:$i > $o, X2116:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i, X2127:$i, X2128:$i > $o, X2129:$i, X2131:$i, X2132:$i, X2133:$i > $o, X2134:$i > $o, X2137:$i, X2140:$i, X2141:$i, X2144:$i, X2145:$i, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i, X2151:$i, X2152:$i, X2153:$i > $o, X2154:$i, X2156:$i, X2157:$i, X2158:$i > $o, X2159:$i > $o, X2162:$i, X2164:$i, X2166:$i, X2167:$i, X2168:$i > $o, X2169:$i > $o, X2172:$i, X2173:$i, X2175:$i, X2176:$i, X2177:$i, X2178:$i, X2179:$i, X2180:$i, X2182:$i, X2183:$i, X2184:$i, X2185:$i, X2186:$i, X2187:$i, X2188:$i, X2189:$i, X2190:$i, X2191:$i, X2192:$i, X2193:$i, X2194:$i, X2195:$i, X2196:$i, X2197:$i, X2198:$i, X2199:$i, X2200:$i, X2201:$i, X2202:$i, X2203:$i, X2204:$i, X2205:$i, X2206:$i, X2207:$i, X2208:$i, X2209:$i, X2210:$i, X2211:$i, X2212:$i, X2213:$i, X2214:$i, X2215:$i, X2216:$i, X2217:$i, X2218:$i, X2219:$i > $o, X2220:$i, X2221:$i > $o, X2222:$i, X2223:$i, X2224:$i, X2225:$i, X2226:$i, X2227:$i, X2228:$i, X2229:$i, X2230:$i, X2231:$i, X2232:$i, X2233:$o, X2234:$i, X2235:$i, X2236:$i, X2237:$i, X2238:$i, X2239:$i, X2240:$i, X2241:$i, X2242:$i, X2243:$i, X2244:$i, X2245:$i, X2246:$i, X2247:$i, X2248:$i, X2249:$i, X2250:$i, X2251:$i, X2252:$i, X2253:$i, X2254:$i, X2255:$i, X2256:$i, X2257:$i, X2258:$i, X2259:$i, X2260:$i, X2262:$i, X2263:$i, X2264:$i, X2265:$i, X2266:$i, X2267:$i, X2268:$i, X2269:$i, X2270:$i, X2271:$i, X2272:$i, X2273:$i, X2274:$i, X2275:$i, X2276:$i, X2277:$i, X2278:$i, X2279:$i, X2280:$i, X2281:$i, X2282:$i, X2283:$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, X2300:$i, X2301:$o, X2302:$i, X2303:$i, X2304:$i, X2305:$i, X2306:$i, X2307:$i, X2308:$i, X2309:$i, X2310:$i, X2311:$i, X2312:$i, X2313:$i, X2314:$i, X2315:$i, X2316:$i, X2317:$i, X2318:$i, X2319:$i, X2320:$i, X2321:$i, X2322:$i, X2323:$i, X2324:$i, X2325:$i, X2326:$i, X2327:$i, X2328:$i, X2329:$i, X2330:$i, X2331:$i, X2332:$i, X2333:$i, X2334:$i, X2335:$i, X2336:$i, X2337:$i, X2338:$i, X2339:$i, X2340:$i, X2341:$i, X2342:$i, X2343:$i, X2344:$i, X2345:$i, X2346:$i, X2347:$i, X2348:$i, X2349:$i, X2350:$i, X2351:$i, X2352:$i, X2353:$i, X2354:$i, X2355:$i, X2356:$i, X2357:$i, X2358:$i, X2359:$i, X2360:$i, X2363:$i, X2364:$i, X2365:$i, X2366:$i, X2367:$i, X2369:$i, X2370:$i, X2371:$i, X2372:$i, X2373:$i > $o, X2376:$i, X2377:$i, X2378:$i > $o, X2380:$i, X2381:$i > $o, X2382:$i, X2384:$i, X2385:$i > $o, X2388:$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:$i, X2422:$i, X2423:$i, X2424:$i, X2425:$i, X2426:$i, X2427:$i, X2428:$i, X2429:$i, X2430:$i, X2431:$i, X2432:$i, X2433:$i, X2434:$i, X2435:$i, X2436:$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 > $i > $o, X2461:$i, X2462:$i, X2463:$i, X2464:$i, X2465:$i > $i > $o, X2466:$i, X2467:$i, X2468:$i > $i > $o, X2469:$i, X2470:$i, X2471:$i > $i > $o, X2472:$i, X2473:$i, X2474:$i, X2475:$i, X2476:$i > $i > $o, X2477:$i, X2478:$i, X2479:$i, X2480:$i, X2481:$i > $i > $o, X2482:$i, X2483:$i, X2484:$i, X2485:$i, X2486:$i > $i > $o, X2487:$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:$i, X2503:$i, X2504:$i, X2505:$i, X2506:$i, X2507:$i, X2508:$i, X2509:$i, X2510:$i, X2511:$i, X2512:$i, X2513:$i > $i, X2515:$i, X2516:$i, X2517:$i > $i, X2519:$i, X2520:$i, X2521:$i > $i, X2523:$i, X2524:$i, X2525:$i, X2526:$i > $o, X2529:$i, X2530:$i, X2531:$i, X2532:$i, X2533:$i > $o, X2536:$i, X2537:$i, X2538:$i > $o, X2539:$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, X2559:$i, X2560:$i, X2561:$i, X2562:$i, X2563:$i, X2564:$i, X2565:$i, X2566:$i, X2567:$i, X2568:$i, X2569:$i, X2572:$i, X2573:$i, X2574:$i, X2575:$i, X2580:$i, X2581:$i, X2582:$i, X2583:$i, X2585:$i, X2586:$i, X2587:$i, X2588:$i, X2590:$i, X2591:$i, X2592:$i, X2593:$i, X2594:$i, X2595:$i, X2596:$i, X2597:$i, X2598:$i, X2599:$i, X2600:$i > $i, X2602:$i, X2603:$i, X2604:$i, X2605:$i, X2606:$i, X2607:$i, X2608:$i > $i, X2610:$i, X2611:$i, X2612:$i > $i, X2614:$i, X2615:$i, X2616:$i, X2617:$i, X2618:$i, X2619:$o, X2620:$i, X2621:$i, X2622:$i, X2623:$o, X2624:$i, X2625:$i, X2626:$i, X2627:$o, X2628:$i, X2629:$i, X2630:$i, X2631:$o, X2632:$i, X2633:$i, X2634:$i, X2635:$o, X2636:$i, X2637:$i, X2638:$i, X2639:$o, X2640:$i, X2641:$i, X2642:$i, X2643:$i, X2644:$i, X2645:$o, X2646:$i, X2647:$i, X2648:$i, X2649:$o, X2650:$i, X2651:$i, X2652:$i, X2653:$o, X2654:$i, X2655:$i, X2656:$i, X2657:$i, X2658:$i, X2659:$i, X2660:$i, X2661:$i, X2662:$i, X2663:$i, X2664:$i, X2665:$i, X2666:$i, X2667:$i, X2668:$i, X2669:$i, X2670:$i, X2671:$i, X2674:$i, X2675:$i, X2676:$i, X2678:$i, X2679:$i, X2680:$i, X2682:$i, X2683:$i, X2684:$i, X2685:$i, X2686:$i, X2687:$i, X2688:$i, X2689:$i, X2690:$i, X2691:$i, X2692:$i, X2693:$i, X2694:$i, X2695:$i, X2696:$i, X2697:$i, X2698:$i, X2699:$i, X2700:$i, X2701:$i, X2702:$i, X2703:$i, X2704:$i, X2705:$i, X2706:$i, X2707:$i, X2708:$i, X2709:$i, X2710:$i, X2711:$i, X2712:$i, X2713:$i, X2714:$i, X2715:$i, X2716:$i, X2717:$i, X2718:$i, X2719:$i, X2720:$i, X2721:$i, X2722:$i, X2723:$i, X2724:$i, X2725:$i, X2726:$i, X2727:$i, X2728:$i, X2729:$i, X2730:$i, X2731:$i, X2732:$i, X2733:$i, X2734:$i, X2735:$i, X2736:$i, X2737:$i, X2738:$i, X2739:$i, X2740:$i, X2741:$i, X2742:$i, X2743:$i, X2744:$i, X2745:$i, X2746:$i, X2747:$i, X2748:$i, X2749:$i, X2750:$i, X2751:$i, X2752:$i, X2753:$i, X2754:$i, X2755:$i, X2756:$i, X2757:$i, X2758:$i, X2759:$i, X2760:$i, X2761:$i, X2762:$i, X2763:$i, X2764:$i, X2765:$i, X2766:$i, X2767:$i, X2768:$i, X2769:$i, X2770:$i, X2771:$i, X2772:$i, X2773:$i, X2774:$i, X2775:$i, X2776:$i, X2777:$i, X2778:$i, X2779:$i, X2780:$i, X2781:$i, X2782:$i, X2783:$i, X2784:$i, X2785:$o, X2786:$i, X2787:$i, X2788:$i, X2789:$i, X2790:$i, X2791:$i, X2792:$i, X2793:$i, X2794:$i, X2795:$i, X2796:$i, X2797:$i, X2798:$i, X2799:$i, X2800:$i, X2801:$i, X2802:$i, X2803:$i, X2804:$i, X2805:$i, X2806:$i, X2807:$i, X2808:$i, X2809:$i, X2810:$i, X2811:$i, X2812:$i, X2813:$i, X2814:$i, X2815:$i, X2816:$i, X2817:$i, X2818:$i, X2819:$i, X2820:$i, X2821:$i, X2822:$i, X2823:$i, X2824:$i, X2825:$i, X2826:$i, X2827:$i, X2828:$i, X2829:$i, X2830:$i, X2831:$i, X2832:$i, X2833:$i, X2834:$i, X2835:$i, X2836:$i, X2837:$i, X2838:$i, X2839:$i, X2840:$i, X2841:$i, X2842:$i, X2843:$i, X2844:$i, X2845:$i, X2846:$i, X2847:$i, X2848:$i, X2849:$i, X2850:$i, X2851:$i, X2852:$i, X2853:$i, X2854:$i, X2855:$i, X2856:$i, 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 > $o, X2872:$i]:((((~(in @ (esk1_2 @ X1938 @ X1939) @ X1938)|~(in @ (esk1_2 @ X1938 @ X1939) @ X1939)|((X1938)=(X1939)))&((in @ (esk1_2 @ X1938 @ X1939) @ X1938)|(in @ (esk1_2 @ X1938 @ X1939) @ X1939)|((X1938)=(X1939))))&(~(in @ X1941 @ emptyset)&(((~(in @ X1944 @ (setadjoin @ X1942 @ X1943))|(((X1944)=(X1942))|(in @ X1944 @ X1943)))&((((X1944)!=(X1942))|(in @ X1944 @ (setadjoin @ X1942 @ X1943)))&(~(in @ X1944 @ X1943)|(in @ X1944 @ (setadjoin @ X1942 @ X1943)))))&(((~(in @ X1946 @ (powerset @ X1945))|(~(in @ X1947 @ X1946)|(in @ X1947 @ X1945)))&(((in @ (esk2_2 @ X1948 @ X1949) @ X1949)|(in @ X1949 @ (powerset @ X1948)))&(~(in @ (esk2_2 @ X1948 @ X1949) @ X1948)|(in @ X1949 @ (powerset @ X1948)))))&(((((in @ X1952 @ (esk3_2 @ X1951 @ X1952))|~(in @ X1952 @ (setunion @ X1951)))&((in @ (esk3_2 @ X1951 @ X1952) @ X1951)|~(in @ X1952 @ (setunion @ X1951))))&(~(in @ X1955 @ X1956)|~(in @ X1956 @ X1954)|(in @ X1955 @ (setunion @ X1954))))&((in @ emptyset @ omega)&((~(in @ X1957 @ omega)|(in @ (setadjoin @ X1957 @ X1957) @ omega))&(((((in @ (esk4_1 @ X1958) @ omega)|~(in @ emptyset @ X1958)|(~(in @ X1960 @ omega)|(in @ X1960 @ X1958)))&((in @ (esk4_1 @ X1958) @ X1958)|~(in @ emptyset @ X1958)|(~(in @ X1960 @ omega)|(in @ X1960 @ X1958))))&(~(in @ (setadjoin @ (esk4_1 @ X1958) @ (esk4_1 @ X1958)) @ X1958)|~(in @ emptyset @ X1958)|(~(in @ X1960 @ omega)|(in @ X1960 @ X1958))))&((((((in @ (esk8_3 @ X1961 @ X1962 @ X1967) @ X1962)|~(in @ X1967 @ (esk7_2 @ X1961 @ X1962))|(in @ (esk5_2 @ X1961 @ X1962) @ X1962))&((X1961 @ (esk8_3 @ X1961 @ X1962 @ X1967) @ X1967)|~(in @ X1967 @ (esk7_2 @ X1961 @ X1962))|(in @ (esk5_2 @ X1961 @ X1962) @ X1962)))&(~(in @ X1970 @ X1962)|~(X1961 @ X1970 @ X1969)|(in @ X1969 @ (esk7_2 @ X1961 @ X1962))|(in @ (esk5_2 @ X1961 @ X1962) @ X1962)))&(((((in @ (esk8_3 @ X1961 @ X1962 @ X1967) @ X1962)|~(in @ X1967 @ (esk7_2 @ X1961 @ X1962))|((X1961 @ (esk5_2 @ X1961 @ X1962) @ (esk6_3 @ X1961 @ X1962 @ X1964))|~(X1961 @ (esk5_2 @ X1961 @ X1962) @ X1964)))&((X1961 @ (esk8_3 @ X1961 @ X1962 @ X1967) @ X1967)|~(in @ X1967 @ (esk7_2 @ X1961 @ X1962))|((X1961 @ (esk5_2 @ X1961 @ X1962) @ (esk6_3 @ X1961 @ X1962 @ X1964))|~(X1961 @ (esk5_2 @ X1961 @ X1962) @ X1964))))&(~(in @ X1970 @ X1962)|~(X1961 @ X1970 @ X1969)|(in @ X1969 @ (esk7_2 @ X1961 @ X1962))|((X1961 @ (esk5_2 @ X1961 @ X1962) @ (esk6_3 @ X1961 @ X1962 @ X1964))|~(X1961 @ (esk5_2 @ X1961 @ X1962) @ X1964))))&((((in @ (esk8_3 @ X1961 @ X1962 @ X1967) @ X1962)|~(in @ X1967 @ (esk7_2 @ X1961 @ X1962))|(((X1964)!=(esk6_3 @ X1961 @ X1962 @ X1964))|~(X1961 @ (esk5_2 @ X1961 @ X1962) @ X1964)))&((X1961 @ (esk8_3 @ X1961 @ X1962 @ X1967) @ X1967)|~(in @ X1967 @ (esk7_2 @ X1961 @ X1962))|(((X1964)!=(esk6_3 @ X1961 @ X1962 @ X1964))|~(X1961 @ (esk5_2 @ X1961 @ X1962) @ X1964))))&(~(in @ X1970 @ X1962)|~(X1961 @ X1970 @ X1969)|(in @ X1969 @ (esk7_2 @ X1961 @ X1962))|(((X1964)!=(esk6_3 @ X1961 @ X1962 @ X1964))|~(X1961 @ (esk5_2 @ X1961 @ X1962) @ X1964))))))&((((in @ (esk9_1 @ X1971) @ X1971)|~(in @ X1972 @ X1971))&(~(in @ X1974 @ (esk9_1 @ X1971))|~(in @ X1974 @ X1971)|~(in @ X1972 @ X1971)))&((epred1_0)&((((X1975 @ (esk10_2 @ X1975 @ X1976))|~(X1975 @ X1976)|(X1975 @ (descr @ X1975)))&(((X1976)!=(esk10_2 @ X1975 @ X1976))|~(X1975 @ X1976)|(X1975 @ (descr @ X1975))))&((~(in @ X1980 @ X1978)|(~(X1979 @ X1980)|(in @ X1980 @ (dsetconstr @ X1978 @ X1979))))&((~(in @ X1983 @ (dsetconstr @ X1981 @ X1982))|(in @ X1983 @ X1981))&((~(in @ X1986 @ (dsetconstr @ X1984 @ X1985))|(X1985 @ X1986))&(((((X1987 @ (esk12_1 @ X1987))|((X1987 @ (esk11_2 @ X1987 @ X1988))|~(X1987 @ X1988)))&(~(X1987 @ X1991)|((esk12_1 @ X1987)=(X1991))|((X1987 @ (esk11_2 @ X1987 @ X1988))|~(X1987 @ X1988))))&(((X1987 @ (esk12_1 @ X1987))|(((X1988)!=(esk11_2 @ X1987 @ X1988))|~(X1987 @ X1988)))&(~(X1987 @ X1991)|((esk12_1 @ X1987)=(X1991))|(((X1988)!=(esk11_2 @ X1987 @ X1988))|~(X1987 @ X1988)))))&((~(in @ X1993 @ (prop2set @ ((X1992))))|(X1992))&((~(in @ X1994 @ emptyset)|(X1995))&((~(in @ X1996 @ emptyset)|~($true))&(~(in @ X1997 @ emptyset)&((((X1998 @ (esk13_2 @ X1998 @ X1999))|~(X1998 @ X1999)|(X1998 @ (esk14_1 @ X1998)))&(((X1999)!=(esk13_2 @ X1998 @ X1999))|~(X1998 @ X1999)|(X1998 @ (esk14_1 @ X1998))))&(((((in @ (esk16_2 @ X2002 @ X2003) @ X2003)|((X2002)=(X2003))|(in @ (esk15_2 @ X2002 @ X2003) @ X2002))&(~(in @ (esk16_2 @ X2002 @ X2003) @ X2002)|((X2002)=(X2003))|(in @ (esk15_2 @ X2002 @ X2003) @ X2002)))&(((in @ (esk16_2 @ X2002 @ X2003) @ X2003)|((X2002)=(X2003))|~(in @ (esk15_2 @ X2002 @ X2003) @ X2003))&(~(in @ (esk16_2 @ X2002 @ X2003) @ X2002)|((X2002)=(X2003))|~(in @ (esk15_2 @ X2002 @ X2003) @ X2003))))&(((in @ (esk17_1 @ X2006) @ X2006)|((X2006)=(emptyset)))&(((in @ (esk18_1 @ X2008) @ X2008)|((X2008)=(emptyset)))&(((~(in @ X2012 @ (dsetconstr @ X2010 @ X2011))|(X2011 @ X2012)|~(in @ X2012 @ X2010))&(~(X2011 @ X2012)|(in @ X2012 @ (dsetconstr @ X2010 @ X2011))|~(in @ X2012 @ X2010)))&((((X2013)=(emptyset))|(in @ (esk19_1 @ X2013) @ X2013))&((~(in @ X2017 @ X2015)|(~(X2016 @ X2017)|((dsetconstr @ X2015 @ X2016)!=(emptyset))))&((~(in @ X2019 @ X2018)|((X2018)!=(emptyset)))&((in @ X2020 @ (setadjoin @ X2020 @ X2021))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X2024 @ X2023)|(in @ X2024 @ (setadjoin @ X2022 @ X2023)))&(((((in @ X2027 @ X2026)|(X2028)|((X2027)=(X2025))|~(in @ X2027 @ (setadjoin @ X2025 @ X2026)))&(~(X2028)|(X2028)|((X2027)=(X2025))|~(in @ X2027 @ (setadjoin @ X2025 @ X2026))))&(((in @ X2027 @ X2026)|(X2028)|~(X2028)|~(in @ X2027 @ (setadjoin @ X2025 @ X2026)))&(~(X2028)|(X2028)|~(X2028)|~(in @ X2027 @ (setadjoin @ X2025 @ X2026)))))&((~(in @ X2031 @ (setadjoin @ X2029 @ X2030))|(((X2031)=(X2029))|(in @ X2031 @ X2030)))&(((dsetconstr @ X2032 @ (^[Z0:$i]:($true)))=(X2032))&((((in @ (esk20_2 @ X2033 @ X2034) @ X2034)|(in @ X2034 @ (powerset @ X2033)))&(~(in @ (esk20_2 @ X2033 @ X2034) @ X2033)|(in @ X2034 @ (powerset @ X2033))))&((in @ emptyset @ (powerset @ X2036))&((in @ emptyset @ (powerset @ X2037))&((~(in @ X2039 @ (powerset @ X2038))|(~(in @ X2040 @ X2039)|(in @ X2040 @ X2038)))&((~(in @ X2042 @ X2043)|(~(in @ X2043 @ X2041)|(in @ X2042 @ (setunion @ X2041))))&((((in @ X2045 @ (esk21_3 @ X2044 @ X2045 @ X2046))|(X2046)|~(in @ X2045 @ (setunion @ X2044)))&(((in @ (esk21_3 @ X2044 @ X2045 @ X2046) @ X2044)|(X2046)|~(in @ X2045 @ (setunion @ X2044)))&(~(X2046)|(X2046)|~(in @ X2045 @ (setunion @ X2044)))))&((~(in @ X2049 @ X2048)|(in @ X2049 @ (powerset @ (setunion @ X2048))))&((((~(X2050 @ X2054)|((X2054)=(esk23_1 @ X2050))|((X2050 @ (esk22_2 @ X2050 @ X2051))|~(X2050 @ X2051)))&(((X2055)!=(esk23_1 @ X2050))|(X2050 @ X2055)|((X2050 @ (esk22_2 @ X2050 @ X2051))|~(X2050 @ X2051))))&((~(X2050 @ X2054)|((X2054)=(esk23_1 @ X2050))|(((X2051)!=(esk22_2 @ X2050 @ X2051))|~(X2050 @ X2051)))&(((X2055)!=(esk23_1 @ X2050))|(X2050 @ X2055)|(((X2051)!=(esk22_2 @ X2050 @ X2051))|~(X2050 @ X2051)))))&((((in @ (esk24_1 @ X2056) @ X2056)|((X2056)=(emptyset)))&(($true)|((X2056)=(emptyset))))&((~(in @ X2058 @ (setadjoin @ X2059 @ emptyset))|((X2058)=(X2059)))&((((X2060)=(X2061))|~(in @ X2061 @ (setadjoin @ X2060 @ emptyset)))&((((X2062)!=(X2063))|(in @ X2062 @ (setadjoin @ X2063 @ emptyset)))&((~(in @ X2064 @ (setadjoin @ X2065 @ emptyset))|(in @ X2065 @ (setadjoin @ X2064 @ emptyset)))&((~(in @ X2068 @ (setadjoin @ X2066 @ (setadjoin @ X2067 @ emptyset)))|(((X2068)=(X2066))|((X2068)=(X2067))))&((in @ X2069 @ (setadjoin @ X2069 @ (setadjoin @ X2070 @ emptyset)))&((in @ X2072 @ (setadjoin @ X2071 @ (setadjoin @ X2072 @ emptyset)))&((~(in @ X2075 @ X2073)|~(X2074 @ X2075)|(((dsetconstr @ X2073 @ X2074)!=(emptyset))|~($true)))&((~(in @ X2077 @ emptyset)|(X2076 @ X2077))&((((in @ (esk25_2 @ X2078 @ X2079) @ X2078)|(~(in @ X2080 @ X2078)|(X2079 @ X2080)))&(~(X2079 @ (esk25_2 @ X2078 @ X2079))|(~(in @ X2080 @ X2078)|(X2079 @ X2080))))&((((in @ (esk26_2 @ X2082 @ X2083) @ X2082)|(~(in @ X2085 @ X2082)|~(X2083 @ X2085)))&((X2083 @ (esk26_2 @ X2082 @ X2083))|(~(in @ X2085 @ X2082)|~(X2083 @ X2085))))&((((in @ (esk27_2 @ X2086 @ X2087) @ X2086)|(~(in @ X2089 @ X2086)|~(X2087 @ X2089)))&((X2087 @ (esk27_2 @ X2086 @ X2087))|(~(in @ X2089 @ X2086)|~(X2087 @ X2089))))&((((in @ (esk28_2 @ X2090 @ X2091) @ X2090)|(~(in @ X2092 @ X2090)|(X2091 @ X2092)))&(~(X2091 @ (esk28_2 @ X2090 @ X2091))|(~(in @ X2092 @ X2090)|(X2091 @ X2092))))&((~(X2094)|(in @ emptyset @ (prop2set @ ((X2094)))))&((~(X2095)|(set2prop @ (prop2set @ ((X2095)))))&((((in @ (esk29_2 @ X2096 @ X2097) @ X2096)|(~(in @ X2099 @ X2096)|~(X2097 @ X2099)))&((X2097 @ (esk29_2 @ X2096 @ X2097))|(~(in @ X2099 @ X2096)|~(X2097 @ X2099))))&((((in @ (esk30_2 @ X2100 @ X2101) @ X2100)|(~(in @ X2102 @ X2100)|(X2101 @ X2102)))&(~(X2101 @ (esk30_2 @ X2100 @ X2101))|(~(in @ X2102 @ X2100)|(X2101 @ X2102))))&(((((X2104 @ (esk32_1 @ X2104))|((X2104 @ (esk31_2 @ X2104 @ X2105))|~(X2104 @ X2105)))&(~(X2104 @ X2108)|((esk32_1 @ X2104)=(X2108))|((X2104 @ (esk31_2 @ X2104 @ X2105))|~(X2104 @ X2105))))&(((X2104 @ (esk32_1 @ X2104))|(((X2105)!=(esk31_2 @ X2104 @ X2105))|~(X2104 @ X2105)))&(~(X2104 @ X2108)|((esk32_1 @ X2104)=(X2108))|(((X2105)!=(esk31_2 @ X2104 @ X2105))|~(X2104 @ X2105)))))&(((((X2109 @ (esk35_1 @ X2109))|(X2109 @ (esk33_1 @ X2109))|~(X2109 @ X2110))&(~(X2109 @ X2114)|((esk35_1 @ X2109)=(X2114))|(X2109 @ (esk33_1 @ X2109))|~(X2109 @ X2110)))&((((X2109 @ (esk35_1 @ X2109))|(X2109 @ (esk34_1 @ X2109))|~(X2109 @ X2110))&(~(X2109 @ X2114)|((esk35_1 @ X2109)=(X2114))|(X2109 @ (esk34_1 @ X2109))|~(X2109 @ X2110)))&(((X2109 @ (esk35_1 @ X2109))|((esk33_1 @ X2109)!=(esk34_1 @ X2109))|~(X2109 @ X2110))&(~(X2109 @ X2114)|((esk35_1 @ X2109)=(X2114))|((esk33_1 @ X2109)!=(esk34_1 @ X2109))|~(X2109 @ X2110)))))&(((((X2115 @ (esk37_1 @ X2115))|(~(X2115 @ (esk36_2 @ X2115 @ X2116))|((esk36_2 @ X2115 @ X2116)!=(X2116))))&(~(X2115 @ X2119)|((esk37_1 @ X2115)=(X2119))|(~(X2115 @ (esk36_2 @ X2115 @ X2116))|((esk36_2 @ X2115 @ X2116)!=(X2116)))))&(((X2115 @ (esk37_1 @ X2115))|((X2115 @ (esk36_2 @ X2115 @ X2116))|((esk36_2 @ X2115 @ X2116)=(X2116))))&(~(X2115 @ X2119)|((esk37_1 @ X2115)=(X2119))|((X2115 @ (esk36_2 @ X2115 @ X2116))|((esk36_2 @ X2115 @ X2116)=(X2116))))))&((((X2120)!=(X2121))|(((X2122)!=(X2123))|(~(in @ X2122 @ X2120)|(in @ X2123 @ X2121))))&(((~(in @ X2126 @ X2124)|(in @ X2127 @ X2125)|((X2126)!=(X2127))|((X2124)!=(X2125)))&(~(in @ X2127 @ X2125)|(in @ X2126 @ X2124)|((X2126)!=(X2127))|((X2124)!=(X2125))))&((((X2128 @ (esk38_2 @ X2128 @ X2129))|~(X2128 @ X2129)|(~(X2128 @ X2131)|(~(X2128 @ X2132)|((X2131)=(X2132)))))&(((X2129)!=(esk38_2 @ X2128 @ X2129))|~(X2128 @ X2129)|(~(X2128 @ X2131)|(~(X2128 @ X2132)|((X2131)=(X2132))))))&(((((((X2134 @ (esk42_2 @ X2133 @ X2134))|((X2133 @ (esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|((esk39_2 @ X2133 @ X2134)=(esk40_2 @ X2133 @ X2134)))&(~(X2134 @ X2140)|((esk42_2 @ X2133 @ X2134)=(X2140))|((X2133 @ (esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|((esk39_2 @ X2133 @ X2134)=(esk40_2 @ X2133 @ X2134))))&(((X2134 @ (esk42_2 @ X2133 @ X2134))|(((X2137)!=(esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|((esk39_2 @ X2133 @ X2134)=(esk40_2 @ X2133 @ X2134)))&(~(X2134 @ X2140)|((esk42_2 @ X2133 @ X2134)=(X2140))|(((X2137)!=(esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|((esk39_2 @ X2133 @ X2134)=(esk40_2 @ X2133 @ X2134)))))&((((X2133 @ (esk44_2 @ X2133 @ X2134))|((X2134 @ (esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|((esk39_2 @ X2133 @ X2134)=(esk40_2 @ X2133 @ X2134)))&(~(X2133 @ X2144)|((esk44_2 @ X2133 @ X2134)=(X2144))|((X2134 @ (esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|((esk39_2 @ X2133 @ X2134)=(esk40_2 @ X2133 @ X2134))))&(((X2133 @ (esk44_2 @ X2133 @ X2134))|(((X2141)!=(esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|((esk39_2 @ X2133 @ X2134)=(esk40_2 @ X2133 @ X2134)))&(~(X2133 @ X2144)|((esk44_2 @ X2133 @ X2134)=(X2144))|(((X2141)!=(esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|((esk39_2 @ X2133 @ X2134)=(esk40_2 @ X2133 @ X2134))))))&((((((X2134 @ (esk42_2 @ X2133 @ X2134))|((X2133 @ (esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|(~(X2133 @ (esk39_2 @ X2133 @ X2134))|~(X2134 @ (esk40_2 @ X2133 @ X2134))))&(~(X2134 @ X2140)|((esk42_2 @ X2133 @ X2134)=(X2140))|((X2133 @ (esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|(~(X2133 @ (esk39_2 @ X2133 @ X2134))|~(X2134 @ (esk40_2 @ X2133 @ X2134)))))&(((X2134 @ (esk42_2 @ X2133 @ X2134))|(((X2137)!=(esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|(~(X2133 @ (esk39_2 @ X2133 @ X2134))|~(X2134 @ (esk40_2 @ X2133 @ X2134))))&(~(X2134 @ X2140)|((esk42_2 @ X2133 @ X2134)=(X2140))|(((X2137)!=(esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|(~(X2133 @ (esk39_2 @ X2133 @ X2134))|~(X2134 @ (esk40_2 @ X2133 @ X2134))))))&((((X2133 @ (esk44_2 @ X2133 @ X2134))|((X2134 @ (esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|(~(X2133 @ (esk39_2 @ X2133 @ X2134))|~(X2134 @ (esk40_2 @ X2133 @ X2134))))&(~(X2133 @ X2144)|((esk44_2 @ X2133 @ X2134)=(X2144))|((X2134 @ (esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|(~(X2133 @ (esk39_2 @ X2133 @ X2134))|~(X2134 @ (esk40_2 @ X2133 @ X2134)))))&(((X2133 @ (esk44_2 @ X2133 @ X2134))|(((X2141)!=(esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|(~(X2133 @ (esk39_2 @ X2133 @ X2134))|~(X2134 @ (esk40_2 @ X2133 @ X2134))))&(~(X2133 @ X2144)|((esk44_2 @ X2133 @ X2134)=(X2144))|(((X2141)!=(esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|(~(X2133 @ (esk39_2 @ X2133 @ X2134))|~(X2134 @ (esk40_2 @ X2133 @ X2134)))))))&(((((X2134 @ (esk42_2 @ X2133 @ X2134))|((X2133 @ (esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|((X2133 @ (esk39_2 @ X2133 @ X2134))|(X2134 @ (esk40_2 @ X2133 @ X2134))))&(~(X2134 @ X2140)|((esk42_2 @ X2133 @ X2134)=(X2140))|((X2133 @ (esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|((X2133 @ (esk39_2 @ X2133 @ X2134))|(X2134 @ (esk40_2 @ X2133 @ X2134)))))&(((X2134 @ (esk42_2 @ X2133 @ X2134))|(((X2137)!=(esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|((X2133 @ (esk39_2 @ X2133 @ X2134))|(X2134 @ (esk40_2 @ X2133 @ X2134))))&(~(X2134 @ X2140)|((esk42_2 @ X2133 @ X2134)=(X2140))|(((X2137)!=(esk41_3 @ X2133 @ X2134 @ X2137))|~(X2133 @ X2137))|((X2133 @ (esk39_2 @ X2133 @ X2134))|(X2134 @ (esk40_2 @ X2133 @ X2134))))))&((((X2133 @ (esk44_2 @ X2133 @ X2134))|((X2134 @ (esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|((X2133 @ (esk39_2 @ X2133 @ X2134))|(X2134 @ (esk40_2 @ X2133 @ X2134))))&(~(X2133 @ X2144)|((esk44_2 @ X2133 @ X2134)=(X2144))|((X2134 @ (esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|((X2133 @ (esk39_2 @ X2133 @ X2134))|(X2134 @ (esk40_2 @ X2133 @ X2134)))))&(((X2133 @ (esk44_2 @ X2133 @ X2134))|(((X2141)!=(esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|((X2133 @ (esk39_2 @ X2133 @ X2134))|(X2134 @ (esk40_2 @ X2133 @ X2134))))&(~(X2133 @ X2144)|((esk44_2 @ X2133 @ X2134)=(X2144))|(((X2141)!=(esk43_3 @ X2133 @ X2134 @ X2141))|~(X2134 @ X2141))|((X2133 @ (esk39_2 @ X2133 @ X2134))|(X2134 @ (esk40_2 @ X2133 @ X2134)))))))))&(((emptyset)=(emptyset))&((((X2145)!=(X2146))|(((X2147)!=(X2148))|((setadjoin @ X2145 @ X2147)=(setadjoin @ X2146 @ X2148))))&((((X2149)!=(X2150))|((powerset @ X2149)=(powerset @ X2150)))&((((X2151)!=(X2152))|((setunion @ X2151)=(setunion @ X2152)))&(((omega)=(omega))&((((X2153 @ (esk45_2 @ X2153 @ X2154))|~(X2153 @ X2154)|(~(X2153 @ X2156)|(~(X2153 @ X2157)|((X2156)=(X2157)))))&(((X2154)!=(esk45_2 @ X2153 @ X2154))|~(X2153 @ X2154)|(~(X2153 @ X2156)|(~(X2153 @ X2157)|((X2156)=(X2157))))))&((((((X2159 @ (esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|((X2158 @ (esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|((esk46_2 @ X2158 @ X2159)=(esk47_2 @ X2158 @ X2159)))&(((X2164)!=(esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|((X2158 @ (esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|((esk46_2 @ X2158 @ X2159)=(esk47_2 @ X2158 @ X2159))))&(((X2159 @ (esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|(((X2162)!=(esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|((esk46_2 @ X2158 @ X2159)=(esk47_2 @ X2158 @ X2159)))&(((X2164)!=(esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|(((X2162)!=(esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|((esk46_2 @ X2158 @ X2159)=(esk47_2 @ X2158 @ X2159)))))&(((((X2159 @ (esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|((X2158 @ (esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|(~(X2158 @ (esk46_2 @ X2158 @ X2159))|~(X2159 @ (esk47_2 @ X2158 @ X2159))))&(((X2164)!=(esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|((X2158 @ (esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|(~(X2158 @ (esk46_2 @ X2158 @ X2159))|~(X2159 @ (esk47_2 @ X2158 @ X2159)))))&(((X2159 @ (esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|(((X2162)!=(esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|(~(X2158 @ (esk46_2 @ X2158 @ X2159))|~(X2159 @ (esk47_2 @ X2158 @ X2159))))&(((X2164)!=(esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|(((X2162)!=(esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|(~(X2158 @ (esk46_2 @ X2158 @ X2159))|~(X2159 @ (esk47_2 @ X2158 @ X2159))))))&((((X2159 @ (esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|((X2158 @ (esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|((X2158 @ (esk46_2 @ X2158 @ X2159))|(X2159 @ (esk47_2 @ X2158 @ X2159))))&(((X2164)!=(esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|((X2158 @ (esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|((X2158 @ (esk46_2 @ X2158 @ X2159))|(X2159 @ (esk47_2 @ X2158 @ X2159)))))&(((X2159 @ (esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|(((X2162)!=(esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|((X2158 @ (esk46_2 @ X2158 @ X2159))|(X2159 @ (esk47_2 @ X2158 @ X2159))))&(((X2164)!=(esk49_3 @ X2158 @ X2159 @ X2164))|~(X2159 @ X2164)|((descr @ X2158)=(descr @ X2159))|(((X2162)!=(esk48_3 @ X2158 @ X2159 @ X2162))|~(X2158 @ X2162))|((X2158 @ (esk46_2 @ X2158 @ X2159))|(X2159 @ (esk47_2 @ X2158 @ X2159))))))))&((((in @ (esk50_4 @ X2166 @ X2167 @ X2168 @ X2169) @ X2166)|((dsetconstr @ X2166 @ X2168)=(dsetconstr @ X2167 @ X2169))|((X2166)!=(X2167)))&(((in @ (esk51_4 @ X2166 @ X2167 @ X2168 @ X2169) @ X2167)|((dsetconstr @ X2166 @ X2168)=(dsetconstr @ X2167 @ X2169))|((X2166)!=(X2167)))&((((esk50_4 @ X2166 @ X2167 @ X2168 @ X2169)=(esk51_4 @ X2166 @ X2167 @ X2168 @ X2169))|((dsetconstr @ X2166 @ X2168)=(dsetconstr @ X2167 @ X2169))|((X2166)!=(X2167)))&((~(X2168 @ (esk50_4 @ X2166 @ X2167 @ X2168 @ X2169))|~(X2169 @ (esk51_4 @ X2166 @ X2167 @ X2168 @ X2169))|((dsetconstr @ X2166 @ X2168)=(dsetconstr @ X2167 @ X2169))|((X2166)!=(X2167)))&((X2168 @ (esk50_4 @ X2166 @ X2167 @ X2168 @ X2169))|(X2169 @ (esk51_4 @ X2166 @ X2167 @ X2168 @ X2169))|((dsetconstr @ X2166 @ X2168)=(dsetconstr @ X2167 @ X2169))|((X2166)!=(X2167)))))))&((((in @ (esk52_2 @ X2172 @ X2173) @ X2172)|(subset @ X2172 @ X2173))&(~(in @ (esk52_2 @ X2172 @ X2173) @ X2173)|(subset @ X2172 @ X2173)))&((((X2175)!=(X2176))|(subset @ X2176 @ X2175))&((((X2177)!=(X2178))|(subset @ X2177 @ X2178))&((((in @ (esk53_2 @ X2179 @ X2180) @ X2179)|(subset @ X2179 @ X2180))&(~(in @ (esk53_2 @ X2179 @ X2180) @ X2180)|(subset @ X2179 @ X2180)))&((subset @ emptyset @ X2182)&((~(subset @ X2183 @ X2184)|(~(in @ X2185 @ X2183)|(in @ X2185 @ X2184)))&((~(subset @ X2186 @ X2187)|((in @ X2188 @ X2187)|~(in @ X2188 @ X2186)))&((~(in @ X2191 @ X2189)|((in @ X2191 @ X2190)|~(subset @ X2189 @ X2190)))&(((subset @ X2192 @ X2193)|((X2192)!=(X2193)))&((~(in @ X2196 @ X2194)|((in @ X2196 @ X2195)|((X2194)!=(X2195))))&((subset @ X2197 @ X2197)&((~(subset @ X2198 @ X2199)|(~(subset @ X2199 @ X2200)|(subset @ X2198 @ X2200)))&((subset @ X2202 @ (setadjoin @ X2201 @ X2202))&((~(subset @ X2203 @ X2205)|(subset @ X2203 @ (setadjoin @ X2204 @ X2205)))&((~(subset @ X2206 @ X2207)|(in @ X2206 @ (powerset @ X2207)))&((~(subset @ X2208 @ X2209)|(~(subset @ X2209 @ X2208)|((X2208)=(X2209))))&((~(subset @ X2210 @ emptyset)|((X2210)=(emptyset)))&((~(subset @ X2212 @ X2211)|(in @ X2212 @ (powerset @ X2211)))&((~(in @ X2214 @ (powerset @ X2213))|(subset @ X2214 @ X2213))&((in @ X2215 @ (powerset @ X2215))&((~(subset @ X2216 @ X2217)|(subset @ (powerset @ X2216) @ (powerset @ X2217)))&((in @ (dsetconstr @ X2218 @ X2219) @ (powerset @ X2218))&((subset @ (dsetconstr @ X2220 @ X2221) @ X2220)&((~(in @ X2224 @ X2222)|(in @ X2224 @ (binunion @ X2222 @ X2223)))&((in @ X2226 @ (setadjoin @ X2225 @ (setadjoin @ X2226 @ emptyset)))&((~(in @ X2229 @ X2228)|(in @ X2229 @ (binunion @ X2227 @ X2228)))&(((((in @ X2232 @ X2231)|(X2233)|(in @ X2232 @ X2230)|~(in @ X2232 @ (binunion @ X2230 @ X2231)))&(~(X2233)|(X2233)|(in @ X2232 @ X2230)|~(in @ X2232 @ (binunion @ X2230 @ X2231))))&(((in @ X2232 @ X2231)|(X2233)|~(X2233)|~(in @ X2232 @ (binunion @ X2230 @ X2231)))&(~(X2233)|(X2233)|~(X2233)|~(in @ X2232 @ (binunion @ X2230 @ X2231)))))&((~(in @ X2236 @ (binunion @ X2234 @ X2235))|((in @ X2236 @ X2234)|(in @ X2236 @ X2235)))&((subset @ X2237 @ (binunion @ X2237 @ X2238))&((subset @ X2240 @ (binunion @ X2239 @ X2240))&((~(in @ X2243 @ X2241)|(~(in @ X2243 @ X2242)|(in @ X2243 @ (binintersect @ X2241 @ X2242))))&((~(subset @ X2246 @ X2244)|(~(subset @ X2246 @ X2245)|(subset @ X2246 @ (binintersect @ X2244 @ X2245))))&((~(in @ X2249 @ (binintersect @ X2247 @ X2248))|(in @ X2249 @ X2247))&((subset @ (binintersect @ X2250 @ X2251) @ X2250)&((~(subset @ X2252 @ X2253)|((binintersect @ X2252 @ X2253)=(X2252)))&((((binintersect @ X2254 @ X2255)!=(X2255))|(subset @ X2255 @ X2254))&((~(in @ X2258 @ (binintersect @ X2256 @ X2257))|(in @ X2258 @ X2257))&((((in @ (esk54_2 @ X2259 @ X2260) @ X2259)|((binintersect @ X2259 @ X2260)=(emptyset)))&((in @ (esk54_2 @ X2259 @ X2260) @ X2260)|((binintersect @ X2259 @ X2260)=(emptyset))))&((subset @ (binintersect @ X2262 @ X2263) @ X2263)&((~(subset @ X2265 @ X2264)|((binintersect @ X2264 @ X2265)=(X2265)))&((((binintersect @ X2266 @ X2267)!=(X2266))|(subset @ X2266 @ X2267))&(((binintersect @ X2268 @ (binunion @ X2269 @ X2270))=(binunion @ (binintersect @ X2268 @ X2269) @ (binintersect @ X2268 @ X2270)))&((~(in @ X2273 @ X2271)|((in @ X2273 @ X2272)|(in @ X2273 @ (setminus @ X2271 @ X2272))))&((~(in @ X2276 @ (setminus @ X2274 @ X2275))|(in @ X2276 @ X2274))&((~(in @ X2279 @ (setminus @ X2277 @ X2278))|~(in @ X2279 @ X2278))&((~(subset @ X2280 @ X2281)|((setminus @ X2280 @ X2281)=(emptyset)))&(((in @ X2284 @ (setminus @ X2282 @ X2283))|(~(in @ X2284 @ X2282)|(in @ X2284 @ X2283)))&(((in @ X2287 @ (setminus @ X2285 @ X2286))|((in @ X2287 @ X2286)|~(in @ X2287 @ X2285)))&(((in @ X2290 @ X2288)|~(in @ X2290 @ (setminus @ X2288 @ X2289)))&((~(in @ X2293 @ X2292)|~(in @ X2293 @ (setminus @ X2291 @ X2292)))&((subset @ (setminus @ X2294 @ X2295) @ X2294)&((((setminus @ X2296 @ X2297)!=(emptyset))|(subset @ X2296 @ X2297))&((((~(in @ X2300 @ X2298)|(X2301)|(in @ X2300 @ X2298)|~(in @ X2300 @ (symdiff @ X2298 @ X2299)))&(((in @ X2300 @ X2299)|(X2301)|(in @ X2300 @ X2298)|~(in @ X2300 @ (symdiff @ X2298 @ X2299)))&(~(X2301)|(X2301)|(in @ X2300 @ X2298)|~(in @ X2300 @ (symdiff @ X2298 @ X2299)))))&(((~(in @ X2300 @ X2298)|(X2301)|~(in @ X2300 @ X2299)|~(in @ X2300 @ (symdiff @ X2298 @ X2299)))&(((in @ X2300 @ X2299)|(X2301)|~(in @ X2300 @ X2299)|~(in @ X2300 @ (symdiff @ X2298 @ X2299)))&(~(X2301)|(X2301)|~(in @ X2300 @ X2299)|~(in @ X2300 @ (symdiff @ X2298 @ X2299)))))&((~(in @ X2300 @ X2298)|(X2301)|~(X2301)|~(in @ X2300 @ (symdiff @ X2298 @ X2299)))&(((in @ X2300 @ X2299)|(X2301)|~(X2301)|~(in @ X2300 @ (symdiff @ X2298 @ X2299)))&(~(X2301)|(X2301)|~(X2301)|~(in @ X2300 @ (symdiff @ X2298 @ X2299)))))))&((~(in @ X2304 @ X2302)|((in @ X2304 @ X2303)|(in @ X2304 @ (symdiff @ X2302 @ X2303))))&(((in @ X2307 @ X2305)|(~(in @ X2307 @ X2306)|(in @ X2307 @ (symdiff @ X2305 @ X2306))))&((~(in @ X2310 @ X2308)|(~(in @ X2310 @ X2309)|~(in @ X2310 @ (symdiff @ X2308 @ X2309))))&(((in @ X2313 @ X2311)|((in @ X2313 @ X2312)|~(in @ X2313 @ (symdiff @ X2311 @ X2312))))&((in @ X2315 @ (setadjoin @ X2314 @ (setadjoin @ X2315 @ emptyset)))&((in @ X2316 @ (setunion @ (setadjoin @ (setadjoin @ X2316 @ emptyset) @ (setadjoin @ (setadjoin @ X2316 @ (setadjoin @ X2317 @ emptyset)) @ emptyset))))&((in @ X2319 @ (setunion @ (setadjoin @ (setadjoin @ X2318 @ emptyset) @ (setadjoin @ (setadjoin @ X2318 @ (setadjoin @ X2319 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X2320 @ emptyset) @ (setadjoin @ (setadjoin @ X2320 @ (setadjoin @ X2321 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X2322 @ X2323))&((~(in @ X2325 @ X2324)|(subset @ (setadjoin @ X2325 @ emptyset) @ X2324))&((~(in @ X2327 @ X2326)|(in @ (setadjoin @ X2327 @ emptyset) @ (powerset @ X2326)))&((~(in @ X2330 @ X2328)|(in @ (setadjoin @ X2330 @ emptyset) @ (powerset @ (binunion @ X2328 @ X2329))))&((~(in @ X2333 @ (setadjoin @ X2331 @ (setadjoin @ X2332 @ emptyset)))|(((X2333)=(X2331))|((X2333)=(X2332))))&((~(in @ X2336 @ X2334)|(~(in @ X2337 @ X2335)|(subset @ (setadjoin @ X2336 @ (setadjoin @ X2337 @ emptyset)) @ (binunion @ X2334 @ X2335))))&((~(in @ X2340 @ X2338)|(~(in @ X2341 @ X2339)|(in @ (setadjoin @ X2340 @ (setadjoin @ X2341 @ emptyset)) @ (powerset @ (binunion @ X2338 @ X2339)))))&((~(in @ X2344 @ X2342)|(~(in @ X2345 @ X2343)|(subset @ (setadjoin @ (setadjoin @ X2344 @ emptyset) @ (setadjoin @ (setadjoin @ X2344 @ (setadjoin @ X2345 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X2342 @ X2343)))))&((~(in @ X2348 @ X2346)|(~(in @ X2349 @ X2347)|(in @ (setadjoin @ (setadjoin @ X2348 @ emptyset) @ (setadjoin @ (setadjoin @ X2348 @ (setadjoin @ X2349 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X2346 @ X2347))))))&((~(in @ X2352 @ X2350)|(~(in @ X2353 @ X2351)|(in @ (kpair @ X2352 @ X2353) @ (powerset @ (powerset @ (binunion @ X2350 @ X2351))))))&((~(in @ X2356 @ X2354)|(~(in @ X2357 @ X2355)|(in @ (kpair @ X2356 @ X2357) @ (cartprod @ X2354 @ X2355))))&((((in @ (esk55_3 @ X2358 @ X2359 @ X2360) @ X2358)|~(in @ X2360 @ (cartprod @ X2358 @ X2359)))&(((in @ (esk56_3 @ X2358 @ X2359 @ X2360) @ X2359)|~(in @ X2360 @ (cartprod @ X2358 @ X2359)))&(((X2360)=(kpair @ (esk55_3 @ X2358 @ X2359 @ X2360) @ (esk56_3 @ X2358 @ X2359 @ X2360)))|~(in @ X2360 @ (cartprod @ X2358 @ X2359)))))&((~(in @ X2365 @ (cartprod @ X2363 @ X2364))|(iskpair @ X2365))&((((in @ (esk57_2 @ X2366 @ X2367) @ X2366)|~(in @ X2367 @ (setunion @ X2366)))&((in @ X2367 @ (esk57_2 @ X2366 @ X2367))|~(in @ X2367 @ (setunion @ X2366))))&((subset @ (setunion @ (setadjoin @ X2369 @ emptyset)) @ X2369)&((subset @ X2370 @ (setunion @ (setadjoin @ X2370 @ emptyset)))&(((setunion @ (setadjoin @ X2371 @ emptyset))=(X2371))&((((in @ (esk58_2 @ X2372 @ X2373) @ X2372)|(~(in @ X2376 @ X2372)|~(X2373 @ X2376)|(singleton @ (dsetconstr @ X2372 @ X2373))))&(((in @ (esk59_2 @ X2372 @ X2373) @ X2372)|(~(in @ X2376 @ X2372)|~(X2373 @ X2376)|(singleton @ (dsetconstr @ X2372 @ X2373))))&(((X2373 @ (esk58_2 @ X2372 @ X2373))|(~(in @ X2376 @ X2372)|~(X2373 @ X2376)|(singleton @ (dsetconstr @ X2372 @ X2373))))&(((X2373 @ (esk59_2 @ X2372 @ X2373))|(~(in @ X2376 @ X2372)|~(X2373 @ X2376)|(singleton @ (dsetconstr @ X2372 @ X2373))))&(((esk58_2 @ X2372 @ X2373)!=(esk59_2 @ X2372 @ X2373))|(~(in @ X2376 @ X2372)|~(X2373 @ X2376)|(singleton @ (dsetconstr @ X2372 @ X2373))))))))&((((in @ (esk60_2 @ X2377 @ X2378) @ X2377)|~(singleton @ (dsetconstr @ X2377 @ X2378)))&((X2378 @ (esk60_2 @ X2377 @ X2378))|~(singleton @ (dsetconstr @ X2377 @ X2378))))&((((in @ (esk61_3 @ X2380 @ X2381 @ X2382) @ X2380)|(singleton @ (dsetconstr @ X2380 @ X2381))|~(X2381 @ X2382)|~(in @ X2382 @ X2380))&(((X2381 @ (esk61_3 @ X2380 @ X2381 @ X2382))|(singleton @ (dsetconstr @ X2380 @ X2381))|~(X2381 @ X2382)|~(in @ X2382 @ X2380))&(((esk61_3 @ X2380 @ X2381 @ X2382)!=(X2382))|(singleton @ (dsetconstr @ X2380 @ X2381))|~(X2381 @ X2382)|~(in @ X2382 @ X2380))))&((((in @ (esk62_2 @ X2384 @ X2385) @ X2384)|(~(in @ X2388 @ X2384)|~(X2385 @ X2388)|(singleton @ (dsetconstr @ X2384 @ X2385))))&(((in @ (esk63_2 @ X2384 @ X2385) @ X2384)|(~(in @ X2388 @ X2384)|~(X2385 @ X2388)|(singleton @ (dsetconstr @ X2384 @ X2385))))&(((X2385 @ (esk62_2 @ X2384 @ X2385))|(~(in @ X2388 @ X2384)|~(X2385 @ X2388)|(singleton @ (dsetconstr @ X2384 @ X2385))))&(((X2385 @ (esk63_2 @ X2384 @ X2385))|(~(in @ X2388 @ X2384)|~(X2385 @ X2388)|(singleton @ (dsetconstr @ X2384 @ X2385))))&(((esk62_2 @ X2384 @ X2385)!=(esk63_2 @ X2384 @ X2385))|(~(in @ X2388 @ X2384)|~(X2385 @ X2388)|(singleton @ (dsetconstr @ X2384 @ X2385))))))))&((((setadjoin @ X2389 @ emptyset)!=(setadjoin @ X2390 @ emptyset))|((X2389)=(X2390)))&((~(in @ (setadjoin @ X2393 @ emptyset) @ (setadjoin @ (setadjoin @ X2391 @ emptyset) @ (setadjoin @ (setadjoin @ X2391 @ (setadjoin @ X2392 @ emptyset)) @ emptyset)))|((X2391)=(X2393)))&((~(iskpair @ X2394)|(singleton @ (dsetconstr @ (setunion @ X2394) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X2394))))))&((~(singleton @ X2395)|(in @ (setunion @ X2395) @ X2395))&(((kfst @ (kpair @ X2396 @ X2397))=(X2396))&((~(in @ X2400 @ (cartprod @ X2398 @ X2399))|(in @ (kfst @ X2400) @ X2398))&((((setadjoin @ (setadjoin @ X2401 @ emptyset) @ (setadjoin @ (setadjoin @ X2401 @ (setadjoin @ X2402 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2403 @ emptyset) @ (setadjoin @ (setadjoin @ X2403 @ (setadjoin @ X2404 @ emptyset)) @ emptyset)))|((X2401)=(X2403)))&((((kpair @ X2405 @ X2406)!=(kpair @ X2407 @ X2408))|((X2405)=(X2407)))&((((X2409)!=(X2410))|((setadjoin @ X2409 @ (setadjoin @ X2410 @ emptyset))=(setadjoin @ X2409 @ emptyset)))&((((X2411)!=(X2412))|((setadjoin @ (setadjoin @ X2411 @ emptyset) @ (setadjoin @ (setadjoin @ X2411 @ (setadjoin @ X2412 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2411 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X2413 @ emptyset) @ (setadjoin @ (setadjoin @ X2413 @ (setadjoin @ X2414 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2415 @ emptyset) @ (setadjoin @ (setadjoin @ X2415 @ (setadjoin @ X2416 @ emptyset)) @ emptyset)))|(((X2415)!=(X2416))|((X2414)=(X2416))))&((((setadjoin @ X2417 @ (setadjoin @ X2418 @ emptyset))!=(setadjoin @ X2419 @ emptyset))|((X2417)=(X2418)))&((((setadjoin @ (setadjoin @ X2420 @ emptyset) @ (setadjoin @ (setadjoin @ X2420 @ (setadjoin @ X2421 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2422 @ emptyset) @ (setadjoin @ (setadjoin @ X2422 @ (setadjoin @ X2423 @ emptyset)) @ emptyset)))|((X2421)=(X2423)))&((((kpair @ X2424 @ X2425)!=(kpair @ X2426 @ X2427))|((X2425)=(X2427)))&((~(iskpair @ X2428)|(singleton @ (dsetconstr @ (setunion @ X2428) @ (^[Z0:$i]:(((X2428)=(kpair @ (kfst @ X2428) @ Z0)))))))&(((ksnd @ (kpair @ X2429 @ X2430))=(X2430))&((~(iskpair @ X2431)|((kpair @ (kfst @ X2431) @ (ksnd @ X2431))=(X2431)))&((~(in @ X2434 @ (cartprod @ X2432 @ X2433))|(in @ (ksnd @ X2434) @ X2433))&((~(in @ (kpair @ X2437 @ X2438) @ (cartprod @ X2435 @ X2436))|(in @ X2437 @ X2435))&((~(in @ (kpair @ X2441 @ X2442) @ (cartprod @ X2439 @ X2440))|(in @ X2442 @ X2440))&((~(in @ X2445 @ X2443)|(~(in @ X2446 @ X2444)|((kpair @ X2445 @ X2446)=(kpair @ X2445 @ X2446))))&((~(in @ X2449 @ X2447)|(~(in @ X2450 @ X2448)|((kfst @ (kpair @ X2449 @ X2450))=(X2449))))&((~(in @ X2453 @ X2451)|(~(in @ X2454 @ X2452)|((ksnd @ (kpair @ X2453 @ X2454))=(X2454))))&((~(in @ X2457 @ (cartprod @ X2455 @ X2456))|((kpair @ (kfst @ X2457) @ (ksnd @ X2457))=(X2457)))&((~(in @ X2461 @ X2458)|(~(in @ X2462 @ X2459)|(~(X2460 @ X2461 @ X2462)|(in @ (kpair @ X2461 @ X2462) @ (dpsetconstr @ X2458 @ X2459 @ X2460)))))&((subset @ (dpsetconstr @ X2463 @ X2464 @ X2465) @ (cartprod @ X2463 @ X2464))&((subset @ (dpsetconstr @ X2466 @ X2467 @ X2468) @ (cartprod @ X2466 @ X2467))&((~(in @ X2472 @ X2469)|(~(in @ X2473 @ X2470)|(~(in @ (kpair @ X2472 @ X2473) @ (dpsetconstr @ X2469 @ X2470 @ X2471))|(X2471 @ X2472 @ X2473))))&((~(in @ (kpair @ X2477 @ X2478) @ (dpsetconstr @ X2474 @ X2475 @ X2476))|(in @ X2477 @ X2474))&((~(in @ (kpair @ X2482 @ X2483) @ (dpsetconstr @ X2479 @ X2480 @ X2481))|(in @ X2483 @ X2480))&((~(in @ (kpair @ X2487 @ X2488) @ (dpsetconstr @ X2484 @ X2485 @ X2486))|(X2486 @ X2487 @ X2488))&((~(func @ X2489 @ X2490 @ X2491)|(~(in @ X2492 @ X2489)|(singleton @ (dsetconstr @ X2490 @ (^[Z0:$i]:((in @ (kpair @ X2492 @ Z0) @ X2491)))))))&((~(func @ X2493 @ X2494 @ X2495)|(~(in @ X2496 @ X2493)|(in @ (setunion @ (dsetconstr @ X2494 @ (^[Z0:$i]:((in @ (kpair @ X2496 @ Z0) @ X2495))))) @ X2494)))&((~(func @ X2497 @ X2498 @ X2499)|(~(in @ X2500 @ X2497)|(in @ (ap @ X2497 @ X2498 @ X2499 @ X2500) @ X2498)))&((~(in @ X2503 @ (funcSet @ X2501 @ X2502))|(func @ X2501 @ X2502 @ X2503))&((~(in @ X2506 @ (funcSet @ X2504 @ X2505))|(~(in @ X2507 @ X2504)|(in @ (ap @ X2504 @ X2505 @ X2506 @ X2507) @ X2505)))&((~(func @ X2508 @ X2509 @ X2510)|(in @ X2510 @ (funcSet @ X2508 @ X2509)))&((((in @ (esk64_3 @ X2511 @ X2512 @ X2513) @ X2511)|(func @ X2511 @ X2512 @ (dpsetconstr @ X2511 @ X2512 @ (^[Z0:$i]:($eq @ (X2513 @ Z0))))))&(~(in @ (X2513 @ (esk64_3 @ X2511 @ X2512 @ X2513)) @ X2512)|(func @ X2511 @ X2512 @ (dpsetconstr @ X2511 @ X2512 @ (^[Z0:$i]:($eq @ (X2513 @ Z0)))))))&((((in @ (esk65_3 @ X2515 @ X2516 @ X2517) @ X2515)|(func @ X2515 @ X2516 @ (lam @ X2515 @ X2516 @ X2517)))&(~(in @ (X2517 @ (esk65_3 @ X2515 @ X2516 @ X2517)) @ X2516)|(func @ X2515 @ X2516 @ (lam @ X2515 @ X2516 @ X2517))))&((((in @ (esk66_3 @ X2519 @ X2520 @ X2521) @ X2519)|(in @ (lam @ X2519 @ X2520 @ X2521) @ (funcSet @ X2519 @ X2520)))&(~(in @ (X2521 @ (esk66_3 @ X2519 @ X2520 @ X2521)) @ X2520)|(in @ (lam @ X2519 @ X2520 @ X2521) @ (funcSet @ X2519 @ X2520))))&((((in @ (esk67_4 @ X2523 @ X2524 @ X2525 @ X2526) @ X2523)|(~(in @ X2529 @ X2525)|(X2526 @ X2529))|~(subset @ X2525 @ (cartprod @ X2523 @ X2524)))&(((in @ (esk68_4 @ X2523 @ X2524 @ X2525 @ X2526) @ X2524)|(~(in @ X2529 @ X2525)|(X2526 @ X2529))|~(subset @ X2525 @ (cartprod @ X2523 @ X2524)))&(((in @ (kpair @ (esk67_4 @ X2523 @ X2524 @ X2525 @ X2526) @ (esk68_4 @ X2523 @ X2524 @ X2525 @ X2526)) @ X2525)|(~(in @ X2529 @ X2525)|(X2526 @ X2529))|~(subset @ X2525 @ (cartprod @ X2523 @ X2524)))&(~(X2526 @ (kpair @ (esk67_4 @ X2523 @ X2524 @ X2525 @ X2526) @ (esk68_4 @ X2523 @ X2524 @ X2525 @ X2526)))|(~(in @ X2529 @ X2525)|(X2526 @ X2529))|~(subset @ X2525 @ (cartprod @ X2523 @ X2524))))))&((((in @ (esk69_4 @ X2530 @ X2531 @ X2532 @ X2533) @ X2530)|(~(in @ X2536 @ X2532)|(X2533 @ X2536))|~(subset @ X2532 @ (cartprod @ X2530 @ X2531)))&(((in @ (esk70_4 @ X2530 @ X2531 @ X2532 @ X2533) @ X2531)|(~(in @ X2536 @ X2532)|(X2533 @ X2536))|~(subset @ X2532 @ (cartprod @ X2530 @ X2531)))&(((in @ (kpair @ (esk69_4 @ X2530 @ X2531 @ X2532 @ X2533) @ (esk70_4 @ X2530 @ X2531 @ X2532 @ X2533)) @ X2532)|(~(in @ X2536 @ X2532)|(X2533 @ X2536))|~(subset @ X2532 @ (cartprod @ X2530 @ X2531)))&(~(X2533 @ (kpair @ (esk69_4 @ X2530 @ X2531 @ X2532 @ X2533) @ (esk70_4 @ X2530 @ X2531 @ X2532 @ X2533)))|(~(in @ X2536 @ X2532)|(X2533 @ X2536))|~(subset @ X2532 @ (cartprod @ X2530 @ X2531))))))&((~(singleton @ (dsetconstr @ X2537 @ X2538))|(~(in @ X2539 @ X2537)|(~(in @ X2540 @ X2537)|(~(X2538 @ X2539)|(~(X2538 @ X2540)|((X2539)=(X2540)))))))&((~(func @ X2541 @ X2542 @ X2543)|(~(in @ X2544 @ X2541)|(in @ (kpair @ X2544 @ (ap @ X2541 @ X2542 @ X2543 @ X2544)) @ X2543)))&((~(in @ X2547 @ (funcSet @ X2545 @ X2546))|(~(in @ X2548 @ X2545)|(in @ (kpair @ X2548 @ (ap @ X2545 @ X2546 @ X2547 @ X2548)) @ X2547)))&((~(func @ X2549 @ X2550 @ X2551)|(~(in @ X2552 @ X2549)|(~(in @ X2553 @ X2550)|(~(in @ (kpair @ X2552 @ X2553) @ X2551)|((ap @ X2549 @ X2550 @ X2551 @ X2552)=(X2553))))))&((((in @ (esk71_4 @ X2554 @ X2555 @ X2556 @ X2557) @ X2554)|(~(in @ X2559 @ X2554)|(~(in @ X2560 @ X2555)|(~(in @ (kpair @ X2559 @ X2560) @ X2557)|(in @ (kpair @ X2559 @ X2560) @ X2556))))|~(func @ X2554 @ X2555 @ X2557)|~(func @ X2554 @ X2555 @ X2556))&(((ap @ X2554 @ X2555 @ X2556 @ (esk71_4 @ X2554 @ X2555 @ X2556 @ X2557))!=(ap @ X2554 @ X2555 @ X2557 @ (esk71_4 @ X2554 @ X2555 @ X2556 @ X2557)))|(~(in @ X2559 @ X2554)|(~(in @ X2560 @ X2555)|(~(in @ (kpair @ X2559 @ X2560) @ X2557)|(in @ (kpair @ X2559 @ X2560) @ X2556))))|~(func @ X2554 @ X2555 @ X2557)|~(func @ X2554 @ X2555 @ X2556)))&((~(in @ X2563 @ (funcSet @ X2561 @ X2562))|(~(in @ X2564 @ X2561)|(~(in @ X2565 @ X2562)|(~(in @ (kpair @ X2564 @ X2565) @ X2563)|((ap @ X2561 @ X2562 @ X2563 @ X2564)=(X2565))))))&((((in @ (esk72_4 @ X2566 @ X2567 @ X2568 @ X2569) @ X2566)|(subset @ X2568 @ X2569)|~(subset @ X2569 @ (cartprod @ X2566 @ X2567))|~(subset @ X2568 @ (cartprod @ X2566 @ X2567)))&(((in @ (esk73_4 @ X2566 @ X2567 @ X2568 @ X2569) @ X2567)|(subset @ X2568 @ X2569)|~(subset @ X2569 @ (cartprod @ X2566 @ X2567))|~(subset @ X2568 @ (cartprod @ X2566 @ X2567)))&(((in @ (kpair @ (esk72_4 @ X2566 @ X2567 @ X2568 @ X2569) @ (esk73_4 @ X2566 @ X2567 @ X2568 @ X2569)) @ X2568)|(subset @ X2568 @ X2569)|~(subset @ X2569 @ (cartprod @ X2566 @ X2567))|~(subset @ X2568 @ (cartprod @ X2566 @ X2567)))&(~(in @ (kpair @ (esk72_4 @ X2566 @ X2567 @ X2568 @ X2569) @ (esk73_4 @ X2566 @ X2567 @ X2568 @ X2569)) @ X2569)|(subset @ X2568 @ X2569)|~(subset @ X2569 @ (cartprod @ X2566 @ X2567))|~(subset @ X2568 @ (cartprod @ X2566 @ X2567))))))&(((((in @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2572)|((X2574)=(X2575))|(in @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2572)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(((in @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2573)|((X2574)=(X2575))|(in @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2572)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(((in @ (kpair @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2575)|((X2574)=(X2575))|(in @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2572)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(~(in @ (kpair @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2574)|((X2574)=(X2575))|(in @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2572)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573))))))&((((in @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2572)|((X2574)=(X2575))|(in @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2573)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(((in @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2573)|((X2574)=(X2575))|(in @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2573)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(((in @ (kpair @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2575)|((X2574)=(X2575))|(in @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2573)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(~(in @ (kpair @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2574)|((X2574)=(X2575))|(in @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2573)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573))))))&((((in @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2572)|((X2574)=(X2575))|(in @ (kpair @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2574)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(((in @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2573)|((X2574)=(X2575))|(in @ (kpair @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2574)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(((in @ (kpair @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2575)|((X2574)=(X2575))|(in @ (kpair @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2574)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(~(in @ (kpair @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2574)|((X2574)=(X2575))|(in @ (kpair @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2574)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573))))))&(((in @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2572)|((X2574)=(X2575))|~(in @ (kpair @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2575)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(((in @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575) @ X2573)|((X2574)=(X2575))|~(in @ (kpair @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2575)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(((in @ (kpair @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2575)|((X2574)=(X2575))|~(in @ (kpair @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2575)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))&(~(in @ (kpair @ (esk76_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk77_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2574)|((X2574)=(X2575))|~(in @ (kpair @ (esk74_4 @ X2572 @ X2573 @ X2574 @ X2575) @ (esk75_4 @ X2572 @ X2573 @ X2574 @ X2575)) @ X2575)|~(subset @ X2575 @ (cartprod @ X2572 @ X2573))|~(subset @ X2574 @ (cartprod @ X2572 @ X2573)))))))))&((((in @ (esk78_4 @ X2580 @ X2581 @ X2582 @ X2583) @ X2580)|((X2582)=(X2583))|~(func @ X2580 @ X2581 @ X2583)|~(func @ X2580 @ X2581 @ X2582))&(((ap @ X2580 @ X2581 @ X2582 @ (esk78_4 @ X2580 @ X2581 @ X2582 @ X2583))!=(ap @ X2580 @ X2581 @ X2583 @ (esk78_4 @ X2580 @ X2581 @ X2582 @ X2583)))|((X2582)=(X2583))|~(func @ X2580 @ X2581 @ X2583)|~(func @ X2580 @ X2581 @ X2582)))&((((in @ (esk79_4 @ X2585 @ X2586 @ X2587 @ X2588) @ X2585)|((X2587)=(X2588))|~(in @ X2588 @ (funcSet @ X2585 @ X2586))|~(in @ X2587 @ (funcSet @ X2585 @ X2586)))&(((ap @ X2585 @ X2586 @ X2587 @ (esk79_4 @ X2585 @ X2586 @ X2587 @ X2588))!=(ap @ X2585 @ X2586 @ X2588 @ (esk79_4 @ X2585 @ X2586 @ X2587 @ X2588)))|((X2587)=(X2588))|~(in @ X2588 @ (funcSet @ X2585 @ X2586))|~(in @ X2587 @ (funcSet @ X2585 @ X2586))))&((~(in @ X2592 @ (funcSet @ X2590 @ X2591))|(~(in @ X2593 @ X2590)|((ap @ X2590 @ X2591 @ X2592 @ X2593)=(ap @ X2590 @ X2591 @ X2592 @ X2593))))&((~(func @ X2594 @ X2595 @ X2596)|(~(in @ X2597 @ X2594)|((ap @ X2594 @ X2595 @ X2596 @ X2597)=(ap @ X2594 @ X2595 @ X2596 @ X2597))))&((((in @ (esk80_3 @ X2598 @ X2599 @ X2600) @ X2598)|(~(in @ X2602 @ X2598)|((ap @ X2598 @ X2599 @ (lam @ X2598 @ X2599 @ X2600) @ X2602)=(X2600 @ X2602))))&(~(in @ (X2600 @ (esk80_3 @ X2598 @ X2599 @ X2600)) @ X2599)|(~(in @ X2602 @ X2598)|((ap @ X2598 @ X2599 @ (lam @ X2598 @ X2599 @ X2600) @ X2602)=(X2600 @ X2602)))))&((~(func @ X2603 @ X2604 @ X2605)|((lam @ X2603 @ X2604 @ (ap @ X2603 @ X2604 @ X2605))=(X2605)))&((((in @ (esk81_3 @ X2606 @ X2607 @ X2608) @ X2606)|((lam @ X2606 @ X2607 @ X2608)=(lam @ X2606 @ X2607 @ X2608)))&(~(in @ (X2608 @ (esk81_3 @ X2606 @ X2607 @ X2608)) @ X2607)|((lam @ X2606 @ X2607 @ X2608)=(lam @ X2606 @ X2607 @ X2608))))&((((in @ (esk82_3 @ X2610 @ X2611 @ X2612) @ X2610)|(~(in @ X2614 @ X2610)|((ap @ X2610 @ X2611 @ (lam @ X2610 @ X2611 @ X2612) @ X2614)=(X2612 @ X2614))))&(~(in @ (X2612 @ (esk82_3 @ X2610 @ X2611 @ X2612)) @ X2611)|(~(in @ X2614 @ X2610)|((ap @ X2610 @ X2611 @ (lam @ X2610 @ X2611 @ X2612) @ X2614)=(X2612 @ X2614)))))&((~(in @ X2617 @ (funcSet @ X2615 @ X2616))|((lam @ X2615 @ X2616 @ (ap @ X2615 @ X2616 @ X2617))=(X2617)))&((~(in @ X2620 @ X2618)|(~(in @ X2621 @ X2618)|((X2619)|(in @ X2621 @ (dsetconstr @ X2618 @ (^[Z0:$i]:((((((X2619))&(((Z0)=(X2620)))))|(((~((X2619)))&(((Z0)=(X2621)))))))))))))&((~(in @ X2624 @ X2622)|(~(in @ X2625 @ X2622)|((X2623)|((dsetconstr @ X2622 @ (^[Z0:$i]:((((((X2623))&(((Z0)=(X2624)))))|(((~((X2623)))&(((Z0)=(X2625)))))))))=(setadjoin @ X2625 @ emptyset)))))&((~(in @ X2628 @ X2626)|(~(in @ X2629 @ X2626)|(~(X2627)|(in @ X2628 @ (dsetconstr @ X2626 @ (^[Z0:$i]:((((((X2627))&(((Z0)=(X2628)))))|(((~((X2627)))&(((Z0)=(X2629)))))))))))))&((~(in @ X2632 @ X2630)|(~(in @ X2633 @ X2630)|(~(X2631)|((dsetconstr @ X2630 @ (^[Z0:$i]:((((((X2631))&(((Z0)=(X2632)))))|(((~((X2631)))&(((Z0)=(X2633)))))))))=(setadjoin @ X2632 @ emptyset)))))&((~(in @ X2636 @ X2634)|(~(in @ X2637 @ X2634)|(singleton @ (dsetconstr @ X2634 @ (^[Z0:$i]:((((((X2635))&(((Z0)=(X2636)))))|(((~((X2635)))&(((Z0)=(X2637))))))))))))&((~(in @ X2640 @ X2638)|(~(in @ X2641 @ X2638)|(in @ (if @ X2638 @ ((X2639)) @ X2640 @ X2641) @ X2638)))&((~(singleton @ X2642)|(~(in @ X2643 @ X2642)|((setunion @ X2642)=(X2643))))&((~(in @ X2646 @ X2644)|(~(in @ X2647 @ X2644)|(~(X2645)|((if @ X2644 @ ((X2645)) @ X2646 @ X2647)=(X2646)))))&((~(in @ X2650 @ X2648)|(~(in @ X2651 @ X2648)|((X2649)|((if @ X2648 @ ((X2649)) @ X2650 @ X2651)=(X2651)))))&((~(in @ X2654 @ X2652)|(~(in @ X2655 @ X2652)|(in @ (if @ X2652 @ ((X2653)) @ X2654 @ X2655) @ (setadjoin @ X2654 @ (setadjoin @ X2655 @ emptyset)))))&((~(in @ X2657 @ (powerset @ X2656))|(~(in @ X2658 @ (powerset @ X2656))|(in @ (binintersect @ X2657 @ X2658) @ (powerset @ X2656))))&((~(in @ X2660 @ (powerset @ X2659))|(~(in @ X2661 @ (powerset @ X2659))|(in @ (binunion @ X2660 @ X2661) @ (powerset @ X2659))))&((~(in @ X2663 @ (powerset @ X2662))|(in @ (powerset @ X2663) @ (powerset @ (powerset @ X2662))))&((~(in @ X2665 @ (powerset @ X2664))|(~(in @ X2666 @ (powerset @ X2664))|(in @ (setminus @ X2665 @ X2666) @ (powerset @ X2664))))&((~(in @ X2668 @ (powerset @ X2667))|(in @ (setminus @ X2667 @ X2668) @ (powerset @ X2667)))&(((((in @ (esk84_3 @ X2669 @ X2670 @ X2671) @ X2669)|((X2670)=(X2671))|(in @ (esk83_3 @ X2669 @ X2670 @ X2671) @ X2669)|~(in @ X2671 @ (powerset @ X2669))|~(in @ X2670 @ (powerset @ X2669)))&(((in @ (esk84_3 @ X2669 @ X2670 @ X2671) @ X2671)|((X2670)=(X2671))|(in @ (esk83_3 @ X2669 @ X2670 @ X2671) @ X2669)|~(in @ X2671 @ (powerset @ X2669))|~(in @ X2670 @ (powerset @ X2669)))&(~(in @ (esk84_3 @ X2669 @ X2670 @ X2671) @ X2670)|((X2670)=(X2671))|(in @ (esk83_3 @ X2669 @ X2670 @ X2671) @ X2669)|~(in @ X2671 @ (powerset @ X2669))|~(in @ X2670 @ (powerset @ X2669)))))&((((in @ (esk84_3 @ X2669 @ X2670 @ X2671) @ X2669)|((X2670)=(X2671))|(in @ (esk83_3 @ X2669 @ X2670 @ X2671) @ X2670)|~(in @ X2671 @ (powerset @ X2669))|~(in @ X2670 @ (powerset @ X2669)))&(((in @ (esk84_3 @ X2669 @ X2670 @ X2671) @ X2671)|((X2670)=(X2671))|(in @ (esk83_3 @ X2669 @ X2670 @ X2671) @ X2670)|~(in @ X2671 @ (powerset @ X2669))|~(in @ X2670 @ (powerset @ X2669)))&(~(in @ (esk84_3 @ X2669 @ X2670 @ X2671) @ X2670)|((X2670)=(X2671))|(in @ (esk83_3 @ X2669 @ X2670 @ X2671) @ X2670)|~(in @ X2671 @ (powerset @ X2669))|~(in @ X2670 @ (powerset @ X2669)))))&(((in @ (esk84_3 @ X2669 @ X2670 @ X2671) @ X2669)|((X2670)=(X2671))|~(in @ (esk83_3 @ X2669 @ X2670 @ X2671) @ X2671)|~(in @ X2671 @ (powerset @ X2669))|~(in @ X2670 @ (powerset @ X2669)))&(((in @ (esk84_3 @ X2669 @ X2670 @ X2671) @ X2671)|((X2670)=(X2671))|~(in @ (esk83_3 @ X2669 @ X2670 @ X2671) @ X2671)|~(in @ X2671 @ (powerset @ X2669))|~(in @ X2670 @ (powerset @ X2669)))&(~(in @ (esk84_3 @ X2669 @ X2670 @ X2671) @ X2670)|((X2670)=(X2671))|~(in @ (esk83_3 @ X2669 @ X2670 @ X2671) @ X2671)|~(in @ X2671 @ (powerset @ X2669))|~(in @ X2670 @ (powerset @ X2669)))))))&((((in @ (esk85_3 @ X2674 @ X2675 @ X2676) @ X2674)|(subset @ X2675 @ X2676)|~(in @ X2676 @ (powerset @ X2674))|~(in @ X2675 @ (powerset @ X2674)))&(((in @ (esk85_3 @ X2674 @ X2675 @ X2676) @ X2675)|(subset @ X2675 @ X2676)|~(in @ X2676 @ (powerset @ X2674))|~(in @ X2675 @ (powerset @ X2674)))&(~(in @ (esk85_3 @ X2674 @ X2675 @ X2676) @ X2676)|(subset @ X2675 @ X2676)|~(in @ X2676 @ (powerset @ X2674))|~(in @ X2675 @ (powerset @ X2674)))))&((((in @ (esk86_3 @ X2678 @ X2679 @ X2680) @ X2678)|(in @ X2679 @ (powerset @ X2680))|~(in @ X2680 @ (powerset @ X2678))|~(in @ X2679 @ (powerset @ X2678)))&(((in @ (esk86_3 @ X2678 @ X2679 @ X2680) @ X2679)|(in @ X2679 @ (powerset @ X2680))|~(in @ X2680 @ (powerset @ X2678))|~(in @ X2679 @ (powerset @ X2678)))&(~(in @ (esk86_3 @ X2678 @ X2679 @ X2680) @ X2680)|(in @ X2679 @ (powerset @ X2680))|~(in @ X2680 @ (powerset @ X2678))|~(in @ X2679 @ (powerset @ X2678)))))&((~(in @ X2683 @ (powerset @ X2682))|(~(in @ X2684 @ (powerset @ X2682))|(~(in @ X2685 @ X2682)|(~(in @ X2683 @ (powerset @ X2684))|(~(in @ X2685 @ X2683)|(in @ X2685 @ X2684))))))&((~(in @ X2687 @ (powerset @ X2686))|(~(in @ X2688 @ X2686)|(~(in @ X2688 @ X2687)|~(in @ X2688 @ (setminus @ X2686 @ X2687)))))&((~(in @ X2690 @ (powerset @ X2689))|(~(in @ X2691 @ X2689)|((in @ X2691 @ (setminus @ X2689 @ X2690))|(in @ X2691 @ X2690))))&((~(in @ X2693 @ (powerset @ X2692))|(~(in @ X2694 @ (powerset @ X2692))|(~(in @ X2695 @ X2692)|((in @ X2695 @ X2693)|~(in @ X2695 @ (binintersect @ X2693 @ X2694))))))&((~(in @ X2697 @ (powerset @ X2696))|(~(in @ X2698 @ (powerset @ X2696))|(~(in @ X2699 @ X2696)|((in @ X2699 @ X2698)|~(in @ X2699 @ (binintersect @ X2697 @ X2698))))))&((~(in @ X2701 @ (powerset @ X2700))|(~(in @ X2702 @ (powerset @ X2700))|(~(in @ X2703 @ X2700)|(~(subset @ X2701 @ (setminus @ X2700 @ X2702))|(~(in @ X2703 @ X2702)|~(in @ X2703 @ X2701))))))&((~(in @ X2705 @ (powerset @ X2704))|(~(in @ X2706 @ (powerset @ X2704))|(~(in @ X2707 @ X2704)|(~(subset @ X2705 @ X2706)|((in @ X2707 @ X2706)|~(in @ X2707 @ X2705))))))&((~(in @ X2709 @ (powerset @ X2708))|(~(in @ X2710 @ (powerset @ X2708))|(~(subset @ X2709 @ X2710)|(subset @ (setminus @ X2708 @ X2710) @ (setminus @ X2708 @ X2709)))))&((~(in @ X2712 @ (powerset @ X2711))|(~(in @ X2713 @ (powerset @ X2711))|(~(subset @ (setminus @ X2711 @ X2713) @ (setminus @ X2711 @ X2712))|(subset @ X2712 @ X2713))))&((~(in @ X2715 @ (powerset @ X2714))|(~(in @ X2716 @ X2714)|(~(in @ X2716 @ X2715)|(in @ X2716 @ (setminus @ X2714 @ (setminus @ X2714 @ X2715))))))&((~(in @ X2718 @ (powerset @ X2717))|(~(in @ X2719 @ X2717)|(~(in @ X2719 @ (setminus @ X2717 @ (setminus @ X2717 @ X2718)))|(in @ X2719 @ X2718))))&((~(in @ X2721 @ (powerset @ X2720))|(subset @ X2721 @ (setminus @ X2720 @ (setminus @ X2720 @ X2721))))&((~(in @ X2723 @ (powerset @ X2722))|(subset @ (setminus @ X2722 @ (setminus @ X2722 @ X2723)) @ X2723))&((~(in @ X2725 @ (powerset @ X2724))|((X2725)=(setminus @ X2724 @ (setminus @ X2724 @ X2725))))&((~(in @ X2727 @ (powerset @ X2726))|(~(in @ X2728 @ (powerset @ X2726))|(~(in @ X2729 @ X2726)|(~(in @ X2729 @ (setminus @ X2726 @ X2727))|~(in @ X2729 @ (binintersect @ X2727 @ X2728))))))&((~(in @ X2731 @ (powerset @ X2730))|(~(in @ X2732 @ (powerset @ X2730))|(~(in @ X2733 @ X2730)|(~(in @ X2733 @ (setminus @ X2730 @ X2731))|(in @ X2733 @ (setminus @ X2730 @ (binintersect @ X2731 @ X2732)))))))&((~(in @ X2735 @ (powerset @ X2734))|(~(in @ X2736 @ (powerset @ X2734))|(subset @ (setminus @ X2734 @ X2735) @ (setminus @ X2734 @ (binintersect @ X2735 @ X2736)))))&((~(in @ X2738 @ (powerset @ X2737))|(~(in @ X2739 @ (powerset @ X2737))|(in @ (setminus @ X2737 @ X2738) @ (powerset @ (setminus @ X2737 @ (binintersect @ X2738 @ X2739))))))&((~(in @ X2741 @ (powerset @ X2740))|(~(in @ X2742 @ (powerset @ X2740))|(~(subset @ X2741 @ (setminus @ X2740 @ X2742))|(~(in @ X2743 @ X2740)|(~(in @ X2743 @ X2742)|(in @ X2743 @ (setminus @ X2740 @ X2741)))))))&((~(in @ X2745 @ (powerset @ X2744))|(~(in @ X2746 @ (powerset @ X2744))|(~(subset @ X2745 @ (setminus @ X2744 @ X2746))|(subset @ X2746 @ (setminus @ X2744 @ X2745)))))&((~(in @ X2748 @ (powerset @ X2747))|(~(in @ X2749 @ (powerset @ X2747))|(~(in @ X2750 @ X2747)|((in @ X2750 @ (binunion @ X2748 @ X2749))|~(in @ X2750 @ X2748)))))&((~(in @ X2752 @ (powerset @ X2751))|(~(in @ X2753 @ (powerset @ X2751))|(~(in @ X2754 @ X2751)|((in @ X2754 @ (binunion @ X2752 @ X2753))|~(in @ X2754 @ X2753)))))&((~(in @ X2756 @ (powerset @ X2755))|(~(in @ X2757 @ (powerset @ X2755))|(~(in @ X2758 @ (powerset @ X2755))|(~(in @ X2759 @ X2755)|(~(in @ X2759 @ (binintersect @ X2756 @ X2757))|(in @ X2759 @ (binunion @ X2756 @ X2758)))))))&((~(in @ X2761 @ (powerset @ X2760))|(~(in @ X2762 @ (powerset @ X2760))|(~(in @ X2763 @ (powerset @ X2760))|(~(in @ X2764 @ X2760)|(~(in @ X2764 @ (binintersect @ X2761 @ X2762))|(in @ X2764 @ (binunion @ X2762 @ X2763)))))))&((~(in @ X2766 @ (powerset @ X2765))|(~(in @ X2767 @ (powerset @ X2765))|(~(in @ X2768 @ (powerset @ X2765))|(~(in @ X2769 @ X2765)|(~(in @ X2769 @ (binintersect @ X2766 @ X2767))|(in @ X2769 @ (binintersect @ (binunion @ X2766 @ X2768) @ (binunion @ X2767 @ X2768))))))))&((~(in @ X2771 @ (powerset @ X2770))|(~(in @ X2772 @ (powerset @ X2770))|(~(in @ X2773 @ (powerset @ X2770))|(in @ (binintersect @ X2771 @ X2772) @ (powerset @ (binintersect @ (binunion @ X2771 @ X2773) @ (binunion @ X2772 @ X2773)))))))&((~(in @ X2775 @ (powerset @ X2774))|(~(in @ X2776 @ (powerset @ X2774))|(~(in @ X2777 @ X2774)|(~(in @ X2777 @ (setminus @ X2774 @ (binunion @ X2775 @ X2776)))|~(in @ X2777 @ X2775)))))&((~(in @ X2779 @ (powerset @ X2778))|(~(in @ X2780 @ (powerset @ X2778))|(~(in @ X2781 @ X2778)|(~(in @ X2781 @ (setminus @ X2778 @ (binunion @ X2779 @ X2780)))|(in @ X2781 @ (setminus @ X2778 @ X2779))))))&(((((in @ X2786 @ X2784)|(X2785)|(in @ X2786 @ X2783)|~(in @ X2786 @ (binunion @ X2783 @ X2784))|~(in @ X2786 @ X2782)|~(in @ X2784 @ (powerset @ X2782))|~(in @ X2783 @ (powerset @ X2782)))&(~(X2785)|(X2785)|(in @ X2786 @ X2783)|~(in @ X2786 @ (binunion @ X2783 @ X2784))|~(in @ X2786 @ X2782)|~(in @ X2784 @ (powerset @ X2782))|~(in @ X2783 @ (powerset @ X2782))))&(((in @ X2786 @ X2784)|(X2785)|~(X2785)|~(in @ X2786 @ (binunion @ X2783 @ X2784))|~(in @ X2786 @ X2782)|~(in @ X2784 @ (powerset @ X2782))|~(in @ X2783 @ (powerset @ X2782)))&(~(X2785)|(X2785)|~(X2785)|~(in @ X2786 @ (binunion @ X2783 @ X2784))|~(in @ X2786 @ X2782)|~(in @ X2784 @ (powerset @ X2782))|~(in @ X2783 @ (powerset @ X2782)))))&((~(in @ X2788 @ (powerset @ X2787))|(~(in @ X2789 @ (powerset @ X2787))|(~(in @ X2790 @ X2787)|((in @ X2790 @ X2788)|((in @ X2790 @ X2789)|~(in @ X2790 @ (binunion @ X2788 @ X2789)))))))&((~(in @ X2792 @ (powerset @ X2791))|(~(in @ X2793 @ (powerset @ X2791))|(~(in @ X2794 @ X2791)|(~(in @ X2794 @ (setminus @ X2791 @ (binunion @ X2792 @ X2793)))|(in @ X2794 @ (setminus @ X2791 @ X2792))))))&((~(in @ X2796 @ (powerset @ X2795))|(~(in @ X2797 @ (powerset @ X2795))|(in @ (setminus @ X2795 @ (binunion @ X2796 @ X2797)) @ (powerset @ (setminus @ X2795 @ X2796)))))&((~(in @ X2799 @ (powerset @ X2798))|(~(in @ X2800 @ (powerset @ X2798))|(~(in @ X2801 @ X2798)|(~(in @ X2801 @ (setminus @ X2798 @ (binunion @ X2799 @ X2800)))|(in @ X2801 @ (setminus @ X2798 @ X2800))))))&((~(in @ X2803 @ (powerset @ X2802))|(~(in @ X2804 @ (powerset @ X2802))|(~(in @ X2805 @ X2802)|(~(in @ X2805 @ (setminus @ X2802 @ (binintersect @ X2803 @ X2804)))|(in @ X2805 @ (binunion @ (setminus @ X2802 @ X2803) @ (setminus @ X2802 @ X2804)))))))&((~(in @ X2807 @ (powerset @ X2806))|(~(in @ X2808 @ (powerset @ X2806))|(~(in @ X2809 @ X2806)|(~(in @ X2809 @ (binunion @ (setminus @ X2806 @ X2807) @ (setminus @ X2806 @ X2808)))|(in @ X2809 @ (setminus @ X2806 @ (binintersect @ X2807 @ X2808)))))))&((~(in @ X2811 @ (powerset @ X2810))|(~(in @ X2812 @ (powerset @ X2810))|((setminus @ X2810 @ (binintersect @ X2811 @ X2812))=(binunion @ (setminus @ X2810 @ X2811) @ (setminus @ X2810 @ X2812)))))&((~(in @ X2814 @ (powerset @ X2813))|(~(in @ X2815 @ (powerset @ X2813))|(~(in @ X2816 @ X2813)|(~(in @ X2816 @ (setminus @ X2813 @ (binunion @ X2814 @ X2815)))|(in @ X2816 @ (binintersect @ (setminus @ X2813 @ X2814) @ (setminus @ X2813 @ X2815)))))))&((~(in @ X2818 @ (powerset @ X2817))|(~(in @ X2819 @ (powerset @ X2817))|(~(in @ X2820 @ X2817)|(~(in @ X2820 @ (setminus @ X2817 @ X2818))|(~(in @ X2820 @ (setminus @ X2817 @ X2819))|(in @ X2820 @ (setminus @ X2817 @ (binunion @ X2818 @ X2819))))))))&((~(in @ X2822 @ (powerset @ X2821))|(~(in @ X2823 @ (powerset @ X2821))|(~(in @ X2824 @ X2821)|(~(in @ X2824 @ (binintersect @ (setminus @ X2821 @ X2822) @ (setminus @ X2821 @ X2823)))|(in @ X2824 @ (setminus @ X2821 @ (binunion @ X2822 @ X2823)))))))&((~(in @ X2826 @ (powerset @ X2825))|(~(in @ X2827 @ (powerset @ X2825))|((setminus @ X2825 @ (binunion @ X2826 @ X2827))=(binintersect @ (setminus @ X2825 @ X2826) @ (setminus @ X2825 @ X2827)))))&((~(in @ X2829 @ (powerset @ X2828))|(~(in @ X2830 @ (powerset @ X2828))|(~(in @ X2831 @ (binintersect @ X2829 @ X2830))|(in @ X2831 @ X2828))))&((~(in @ X2833 @ (powerset @ X2832))|(~(in @ X2834 @ (powerset @ X2832))|(~(in @ X2835 @ (powerset @ X2832))|(~(subset @ X2833 @ X2835)|(subset @ (binintersect @ X2833 @ X2834) @ X2835)))))&((~(in @ X2837 @ (powerset @ X2836))|(~(in @ X2838 @ (powerset @ X2836))|(~(in @ X2839 @ (powerset @ X2836))|(~(subset @ X2838 @ X2839)|(subset @ (binintersect @ X2837 @ X2838) @ X2839)))))&((~(in @ X2841 @ (powerset @ X2840))|(~(in @ X2842 @ (powerset @ X2840))|(~(in @ X2843 @ (powerset @ X2840))|(~(subset @ X2841 @ X2842)|(~(subset @ X2841 @ X2843)|(subset @ X2841 @ (binintersect @ X2842 @ X2843)))))))&((~(in @ X2845 @ (powerset @ X2844))|(~(in @ X2846 @ (powerset @ X2844))|(~(in @ X2847 @ (powerset @ X2844))|(~(in @ X2848 @ (powerset @ X2844))|(~(subset @ X2845 @ X2847)|(~(subset @ X2846 @ X2848)|(subset @ (binintersect @ X2845 @ X2846) @ (binintersect @ X2847 @ X2848))))))))&((~(in @ X2850 @ (powerset @ X2849))|(~(in @ X2851 @ (powerset @ X2849))|(in @ (setminus @ X2849 @ X2850) @ (powerset @ (setminus @ X2849 @ (binintersect @ X2850 @ X2851))))))&((~(in @ X2853 @ (powerset @ X2852))|(~(in @ X2854 @ (powerset @ X2852))|(~(in @ X2855 @ (powerset @ X2852))|(~(in @ X2856 @ (powerset @ X2852))|((setminus @ X2852 @ (binintersect @ (binunion @ X2853 @ X2854) @ (binunion @ X2855 @ X2856)))=(binunion @ (binintersect @ (setminus @ X2852 @ X2853) @ (setminus @ X2852 @ X2854)) @ (binintersect @ (setminus @ X2852 @ X2855) @ (setminus @ X2852 @ X2856))))))))&((~(in @ X2858 @ (powerset @ X2857))|(~(in @ X2859 @ (powerset @ X2857))|(~(in @ X2860 @ (powerset @ X2857))|(in @ (binintersect @ X2858 @ X2859) @ (powerset @ (binintersect @ (binunion @ X2858 @ X2860) @ (binunion @ X2859 @ X2860)))))))&((~(in @ X2862 @ (powerset @ X2861))|(~(in @ X2863 @ (powerset @ X2861))|(~(subset @ X2862 @ (setminus @ X2861 @ X2863))|(subset @ X2863 @ (setminus @ X2861 @ X2862)))))&((~(in @ X2865 @ (powerset @ X2864))|(~(in @ X2866 @ (powerset @ X2864))|(in @ (setminus @ X2864 @ (binunion @ X2865 @ X2866)) @ (powerset @ (setminus @ X2864 @ X2865)))))&((((in @ (esk87_3 @ X2867 @ X2868 @ X2869) @ X2867)|(~(in @ X2872 @ X2868)|(X2869 @ X2872))|~(subset @ X2868 @ (cartprod @ X2867 @ X2867)))&(((in @ (esk88_3 @ X2867 @ X2868 @ X2869) @ X2867)|(~(in @ X2872 @ X2868)|(X2869 @ X2872))|~(subset @ X2868 @ (cartprod @ X2867 @ X2867)))&(((in @ (kpair @ (esk87_3 @ X2867 @ X2868 @ X2869) @ (esk88_3 @ X2867 @ X2868 @ X2869)) @ X2868)|(~(in @ X2872 @ X2868)|(X2869 @ X2872))|~(subset @ X2868 @ (cartprod @ X2867 @ X2867)))&(~(X2869 @ (kpair @ (esk87_3 @ X2867 @ X2868 @ X2869) @ (esk88_3 @ X2867 @ X2868 @ X2869)))|(~(in @ X2872 @ X2868)|(X2869 @ X2872))|~(subset @ X2868 @ (cartprod @ X2867 @ X2867))))))&((in @ esk90_0 @ (breln1Set @ esk89_0))&~(subset @ esk90_0 @ (cartprod @ esk89_0 @ esk89_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_377])])])])])])])).
% 1.79/0.59 thf(c_0_380, plain, ![X1937:$i]:(((breln1Set @ X1937)=(dsetconstr @ (powerset @ (cartprod @ X1937 @ X1937)) @ (^[Z0:$i]:((subset @ Z0 @ (cartprod @ X1937 @ X1937))))))), inference(variable_rename,[status(thm)],[c_0_378])).
% 1.79/0.59 thf(c_0_381, plain, ![X2894:$i, X2:$i]:(((epred2_1 @ X2 @ X2894)<=>(subset @ X2894 @ (cartprod @ X2 @ X2)))), introduced(definition)).
% 1.79/0.59 thf(c_0_382, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_379])).
% 1.79/0.59 thf(c_0_383, plain, ![X2:$i]:(((breln1Set @ X2)=(dsetconstr @ (powerset @ (cartprod @ X2 @ X2)) @ (epred2_1 @ X2)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_380]), c_0_381])).
% 1.79/0.59 thf(c_0_384, plain, ![X2907:$i, X2908:$i]:(((~(epred2_1 @ X2908 @ X2907)|(subset @ X2907 @ (cartprod @ X2908 @ X2908)))&(~(subset @ X2907 @ (cartprod @ X2908 @ X2908))|(epred2_1 @ X2908 @ X2907)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])).
% 1.79/0.59 thf(c_0_385, negated_conjecture, ![X3:$i, X2:$i]:(((epred2_1 @ X2 @ X3)|~((in @ X3 @ (breln1Set @ X2))))), inference(spm,[status(thm)],[c_0_382, c_0_383])).
% 1.79/0.59 thf(c_0_386, negated_conjecture, (in @ esk90_0 @ (breln1Set @ esk89_0)), inference(split_conjunct,[status(thm)],[c_0_379])).
% 1.79/0.59 thf(c_0_387, plain, ![X2:$i, X3:$i]:(((subset @ X3 @ (cartprod @ X2 @ X2))|~((epred2_1 @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_384])).
% 1.79/0.59 thf(c_0_388, negated_conjecture, (epred2_1 @ esk89_0 @ esk90_0), inference(spm,[status(thm)],[c_0_385, c_0_386])).
% 1.79/0.59 thf(c_0_389, negated_conjecture, ~((subset @ esk90_0 @ (cartprod @ esk89_0 @ esk89_0))), inference(split_conjunct,[status(thm)],[c_0_379])).
% 1.79/0.59 thf(c_0_390, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_387, c_0_388]), c_0_389]), ['proof']).
% 1.79/0.59 % SZS output end CNFRefutation
% 1.79/0.59 % Parsed axioms : 617
% 1.79/0.59 % Removed by relevancy pruning/SinE : 0
% 1.79/0.59 % Initial clauses : 823
% 1.79/0.59 % Removed in clause preprocessing : 362
% 1.79/0.59 % Initial clauses in saturation : 461
% 1.79/0.59 % Processed clauses : 707
% 1.79/0.59 % ...of these trivial : 18
% 1.79/0.59 % ...subsumed : 308
% 1.79/0.59 % ...remaining for further processing : 381
% 1.79/0.59 % Other redundant clauses eliminated : 35
% 1.79/0.59 % Clauses deleted for lack of memory : 0
% 1.79/0.59 % Backward-subsumed : 1
% 1.79/0.59 % Backward-rewritten : 7
% 1.79/0.59 % Generated clauses : 4765
% 1.79/0.59 % ...of the previous two non-redundant : 3851
% 1.79/0.59 % ...aggressively subsumed : 0
% 1.79/0.59 % Contextual simplify-reflections : 0
% 1.79/0.59 % Paramodulations : 4724
% 1.79/0.59 % Factorizations : 0
% 1.79/0.59 % NegExts : 0
% 1.79/0.59 % Equation resolutions : 38
% 1.79/0.59 % Disequality decompositions : 0
% 1.79/0.59 % Total rewrite steps : 1619
% 1.79/0.59 % ...of those cached : 1472
% 1.79/0.59 % Propositional unsat checks : 0
% 1.79/0.59 % Propositional check models : 0
% 1.79/0.59 % Propositional check unsatisfiable : 0
% 1.79/0.59 % Propositional clauses : 0
% 1.79/0.59 % Propositional clauses after purity: 0
% 1.79/0.59 % Propositional unsat core size : 0
% 1.79/0.59 % Propositional preprocessing time : 0.000
% 1.79/0.59 % Propositional encoding time : 0.000
% 1.79/0.59 % Propositional solver time : 0.000
% 1.79/0.59 % Success case prop preproc time : 0.000
% 1.79/0.59 % Success case prop encoding time : 0.000
% 1.79/0.59 % Success case prop solver time : 0.000
% 1.79/0.59 % Current number of processed clauses : 361
% 1.79/0.59 % Positive orientable unit clauses : 115
% 1.79/0.59 % Positive unorientable unit clauses: 0
% 1.79/0.59 % Negative unit clauses : 5
% 1.79/0.59 % Non-unit-clauses : 241
% 1.79/0.59 % Current number of unprocessed clauses: 3578
% 1.79/0.59 % ...number of literals in the above : 9926
% 1.79/0.59 % Current number of archived formulas : 0
% 1.79/0.59 % Current number of archived clauses : 9
% 1.79/0.59 % Clause-clause subsumption calls (NU) : 6625
% 1.79/0.59 % Rec. Clause-clause subsumption calls : 6017
% 1.79/0.59 % Non-unit clause-clause subsumptions : 240
% 1.79/0.59 % Unit Clause-clause subsumption calls : 473
% 1.79/0.59 % Rewrite failures with RHS unbound : 0
% 1.79/0.59 % BW rewrite match attempts : 32
% 1.79/0.59 % BW rewrite match successes : 4
% 1.79/0.59 % Condensation attempts : 0
% 1.79/0.59 % Condensation successes : 0
% 1.79/0.59 % Termbank termtop insertions : 136398
% 1.79/0.59 % Search garbage collected termcells : 30897
% 1.79/0.59
% 1.79/0.59 % -------------------------------------------------
% 1.79/0.59 % User time : 0.207 s
% 1.79/0.59 % System time : 0.024 s
% 1.79/0.59 % Total time : 0.231 s
% 1.79/0.59 % Maximum resident set size: 10472 pages
% 1.79/0.59
% 1.79/0.59 % -------------------------------------------------
% 1.79/0.59 % User time : 0.223 s
% 1.79/0.59 % System time : 0.036 s
% 1.79/0.59 % Total time : 0.258 s
% 1.79/0.59 % Maximum resident set size: 5632 pages
% 1.79/0.59 % E exiting
%------------------------------------------------------------------------------