%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU786^1 : 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 : n016.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 08:25:38 AM UTC 2026
% Result : Theorem 0.78s 0.50s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU786^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n016.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 14:33:34 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.26 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.Jwp2SMid7q/E---3.1_428887.p
% 0.78/0.50 % Version: 3.5.1-ho
% 0.78/0.50 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.78/0.50 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.50 % Starting ehoh_best5 with 300s (1) cores
% 0.78/0.50 % Starting almost_fo_3_lam with 300s (1) cores
% 0.78/0.50 % Starting new_bool_5 with 300s (1) cores
% 0.78/0.50 % Starting pre_casc_3 with 300s (1) cores
% 0.78/0.50 % Starting ho_unfolding_8 with 300s (1) cores
% 0.78/0.50 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.78/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.78/0.50 % Starting new_ho_5 with 300s (1) cores
% 0.78/0.50 % new_bool_5 with pid 428902 completed with status 0
% 0.78/0.50 % Result found by new_bool_5
% 0.78/0.50 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.78/0.50 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.50 % Starting ehoh_best5 with 300s (1) cores
% 0.78/0.50 % Starting almost_fo_3_lam with 300s (1) cores
% 0.78/0.50 % Starting new_bool_5 with 300s (1) cores
% 0.78/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.78/0.50 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.78/0.50 % Search class: HGHSM-FSLM32-MHFMMSBN
% 0.78/0.50 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.78/0.50 % Starting SubtermCWHack with 28s (1) cores
% 0.78/0.50 % SubtermCWHack with pid 428918 completed with status 0
% 0.78/0.50 % Result found by SubtermCWHack
% 0.78/0.50 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.78/0.50 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.50 % Starting ehoh_best5 with 300s (1) cores
% 0.78/0.50 % Starting almost_fo_3_lam with 300s (1) cores
% 0.78/0.50 % Starting new_bool_5 with 300s (1) cores
% 0.78/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.78/0.50 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.78/0.50 % Search class: HGHSM-FSLM32-MHFMMSBN
% 0.78/0.50 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.78/0.50 % Starting SubtermCWHack with 28s (1) cores
% 0.78/0.50 % Preprocessing time : 0.005 s
% 0.78/0.50
% 0.78/0.50 % Proof found!
% 0.78/0.50 % SZS status Theorem
% 0.78/0.50 % SZS output start CNFRefutation
% 0.78/0.50 thf(decl_23, type, in: $i > $i > $o).
% 0.78/0.50 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.78/0.50 thf(decl_25, type, setextAx: $o).
% 0.78/0.50 thf(decl_26, type, emptyset: $i).
% 0.78/0.50 thf(decl_27, type, emptysetAx: $o).
% 0.78/0.50 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.78/0.50 thf(decl_29, type, setadjoinAx: $o).
% 0.78/0.50 thf(decl_30, type, powerset: $i > $i).
% 0.78/0.50 thf(decl_31, type, powersetAx: $o).
% 0.78/0.50 thf(decl_32, type, setunion: $i > $i).
% 0.78/0.50 thf(decl_33, type, setunionAx: $o).
% 0.78/0.50 thf(decl_34, type, omega: $i).
% 0.78/0.50 thf(decl_35, type, omega0Ax: $o).
% 0.78/0.50 thf(decl_36, type, omegaSAx: $o).
% 0.78/0.50 thf(decl_37, type, omegaIndAx: $o).
% 0.78/0.50 thf(decl_38, type, replAx: $o).
% 0.78/0.50 thf(decl_39, type, foundationAx: $o).
% 0.78/0.50 thf(decl_40, type, wellorderingAx: $o).
% 0.78/0.50 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.78/0.50 thf(decl_42, type, descrp: $o).
% 0.78/0.50 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_44, type, dsetconstrI: $o).
% 0.78/0.50 thf(decl_45, type, dsetconstrEL: $o).
% 0.78/0.50 thf(decl_46, type, dsetconstrER: $o).
% 0.78/0.50 thf(decl_47, type, exuE1: $o).
% 0.78/0.50 thf(decl_48, type, prop2set: $o > $i).
% 0.78/0.50 thf(decl_49, type, prop2setE: $o).
% 0.78/0.50 thf(decl_50, type, emptysetE: $o).
% 0.78/0.50 thf(decl_51, type, emptysetimpfalse: $o).
% 0.78/0.50 thf(decl_52, type, notinemptyset: $o).
% 0.78/0.50 thf(decl_53, type, exuE3e: $o).
% 0.78/0.50 thf(decl_54, type, setext: $o).
% 0.78/0.50 thf(decl_55, type, emptyI: $o).
% 0.78/0.50 thf(decl_56, type, noeltsimpempty: $o).
% 0.78/0.50 thf(decl_57, type, setbeta: $o).
% 0.78/0.50 thf(decl_58, type, nonempty: $i > $o).
% 0.78/0.50 thf(decl_59, type, nonemptyE1: $o).
% 0.78/0.50 thf(decl_60, type, nonemptyI: $o).
% 0.78/0.50 thf(decl_61, type, nonemptyI1: $o).
% 0.78/0.50 thf(decl_62, type, setadjoinIL: $o).
% 0.78/0.50 thf(decl_63, type, emptyinunitempty: $o).
% 0.78/0.50 thf(decl_64, type, setadjoinIR: $o).
% 0.78/0.50 thf(decl_65, type, setadjoinE: $o).
% 0.78/0.50 thf(decl_66, type, setadjoinOr: $o).
% 0.78/0.50 thf(decl_67, type, setoftrueEq: $o).
% 0.78/0.50 thf(decl_68, type, powersetI: $o).
% 0.78/0.50 thf(decl_69, type, emptyinPowerset: $o).
% 0.78/0.50 thf(decl_70, type, emptyInPowerset: $o).
% 0.78/0.50 thf(decl_71, type, powersetE: $o).
% 0.78/0.50 thf(decl_72, type, setunionI: $o).
% 0.78/0.50 thf(decl_73, type, setunionE: $o).
% 0.78/0.50 thf(decl_74, type, subPowSU: $o).
% 0.78/0.50 thf(decl_75, type, exuE2: $o).
% 0.78/0.50 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.78/0.50 thf(decl_77, type, uniqinunit: $o).
% 0.78/0.50 thf(decl_78, type, notinsingleton: $o).
% 0.78/0.50 thf(decl_79, type, eqinunit: $o).
% 0.78/0.50 thf(decl_80, type, singletonsswitch: $o).
% 0.78/0.50 thf(decl_81, type, upairsetE: $o).
% 0.78/0.50 thf(decl_82, type, upairsetIL: $o).
% 0.78/0.50 thf(decl_83, type, upairsetIR: $o).
% 0.78/0.50 thf(decl_84, type, emptyE1: $o).
% 0.78/0.50 thf(decl_85, type, vacuousDall: $o).
% 0.78/0.50 thf(decl_86, type, quantDeMorgan1: $o).
% 0.78/0.50 thf(decl_87, type, quantDeMorgan2: $o).
% 0.78/0.50 thf(decl_88, type, quantDeMorgan3: $o).
% 0.78/0.50 thf(decl_89, type, quantDeMorgan4: $o).
% 0.78/0.50 thf(decl_90, type, prop2setI: $o).
% 0.78/0.50 thf(decl_92, type, prop2set2propI: $o).
% 0.78/0.50 thf(decl_93, type, notdexE: $o).
% 0.78/0.50 thf(decl_94, type, notdallE: $o).
% 0.78/0.50 thf(decl_95, type, exuI1: $o).
% 0.78/0.50 thf(decl_96, type, exuI3: $o).
% 0.78/0.50 thf(decl_97, type, exuI2: $o).
% 0.78/0.50 thf(decl_98, type, inCongP: $o).
% 0.78/0.50 thf(decl_99, type, in__Cong: $o).
% 0.78/0.50 thf(decl_100, type, exuE3u: $o).
% 0.78/0.50 thf(decl_101, type, exu__Cong: $o).
% 0.78/0.50 thf(decl_102, type, emptyset__Cong: $o).
% 0.78/0.50 thf(decl_103, type, setadjoin__Cong: $o).
% 0.78/0.50 thf(decl_104, type, powerset__Cong: $o).
% 0.78/0.50 thf(decl_105, type, setunion__Cong: $o).
% 0.78/0.50 thf(decl_106, type, omega__Cong: $o).
% 0.78/0.50 thf(decl_107, type, exuEu: $o).
% 0.78/0.50 thf(decl_108, type, descr__Cong: $o).
% 0.78/0.50 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.78/0.50 thf(decl_110, type, subset: $i > $i > $o).
% 0.78/0.50 thf(decl_113, type, subsetI1: $o).
% 0.78/0.50 thf(decl_114, type, eqimpsubset2: $o).
% 0.78/0.50 thf(decl_115, type, eqimpsubset1: $o).
% 0.78/0.50 thf(decl_116, type, subsetI2: $o).
% 0.78/0.50 thf(decl_117, type, emptysetsubset: $o).
% 0.78/0.50 thf(decl_118, type, subsetE: $o).
% 0.78/0.50 thf(decl_119, type, subsetE2: $o).
% 0.78/0.50 thf(decl_120, type, notsubsetI: $o).
% 0.78/0.50 thf(decl_121, type, notequalI1: $o).
% 0.78/0.50 thf(decl_122, type, notequalI2: $o).
% 0.78/0.50 thf(decl_123, type, subsetRefl: $o).
% 0.78/0.50 thf(decl_124, type, subsetTrans: $o).
% 0.78/0.50 thf(decl_125, type, setadjoinSub: $o).
% 0.78/0.50 thf(decl_126, type, setadjoinSub2: $o).
% 0.78/0.50 thf(decl_127, type, subset2powerset: $o).
% 0.78/0.50 thf(decl_128, type, setextsub: $o).
% 0.78/0.50 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.78/0.50 thf(decl_130, type, powersetI1: $o).
% 0.78/0.50 thf(decl_131, type, powersetE1: $o).
% 0.78/0.50 thf(decl_132, type, inPowerset: $o).
% 0.78/0.50 thf(decl_133, type, powersetsubset: $o).
% 0.78/0.50 thf(decl_134, type, sepInPowerset: $o).
% 0.78/0.50 thf(decl_135, type, sepSubset: $o).
% 0.78/0.50 thf(decl_136, type, binunion: $i > $i > $i).
% 0.78/0.50 thf(decl_137, type, binunionIL: $o).
% 0.78/0.50 thf(decl_138, type, upairset2IR: $o).
% 0.78/0.50 thf(decl_139, type, binunionIR: $o).
% 0.78/0.50 thf(decl_140, type, binunionEcases: $o).
% 0.78/0.50 thf(decl_141, type, binunionE: $o).
% 0.78/0.50 thf(decl_142, type, binunionLsub: $o).
% 0.78/0.50 thf(decl_143, type, binunionRsub: $o).
% 0.78/0.50 thf(decl_144, type, binintersect: $i > $i > $i).
% 0.78/0.50 thf(decl_145, type, binintersectI: $o).
% 0.78/0.50 thf(decl_146, type, binintersectSubset5: $o).
% 0.78/0.50 thf(decl_147, type, binintersectEL: $o).
% 0.78/0.50 thf(decl_148, type, binintersectLsub: $o).
% 0.78/0.50 thf(decl_149, type, binintersectSubset2: $o).
% 0.78/0.50 thf(decl_150, type, binintersectSubset3: $o).
% 0.78/0.50 thf(decl_151, type, binintersectER: $o).
% 0.78/0.50 thf(decl_152, type, disjointsetsI1: $o).
% 0.78/0.50 thf(decl_153, type, binintersectRsub: $o).
% 0.78/0.50 thf(decl_154, type, binintersectSubset4: $o).
% 0.78/0.50 thf(decl_155, type, binintersectSubset1: $o).
% 0.78/0.50 thf(decl_156, type, bs114d: $o).
% 0.78/0.50 thf(decl_158, type, setminus: $i > $i > $i).
% 0.78/0.50 thf(decl_159, type, setminusI: $o).
% 0.78/0.50 thf(decl_160, type, setminusEL: $o).
% 0.78/0.50 thf(decl_161, type, setminusER: $o).
% 0.78/0.50 thf(decl_162, type, setminusSubset2: $o).
% 0.78/0.50 thf(decl_163, type, setminusERneg: $o).
% 0.78/0.50 thf(decl_164, type, setminusELneg: $o).
% 0.78/0.50 thf(decl_165, type, setminusILneg: $o).
% 0.78/0.50 thf(decl_166, type, setminusIRneg: $o).
% 0.78/0.50 thf(decl_167, type, setminusLsub: $o).
% 0.78/0.50 thf(decl_168, type, setminusSubset1: $o).
% 0.78/0.50 thf(decl_169, type, symdiff: $i > $i > $i).
% 0.78/0.50 thf(decl_170, type, symdiffE: $o).
% 0.78/0.50 thf(decl_171, type, symdiffI1: $o).
% 0.78/0.50 thf(decl_172, type, symdiffI2: $o).
% 0.78/0.50 thf(decl_173, type, symdiffIneg1: $o).
% 0.78/0.50 thf(decl_174, type, symdiffIneg2: $o).
% 0.78/0.50 thf(decl_175, type, iskpair: $i > $o).
% 0.78/0.50 thf(decl_176, type, secondinupair: $o).
% 0.78/0.50 thf(decl_177, type, setukpairIL: $o).
% 0.78/0.50 thf(decl_178, type, setukpairIR: $o).
% 0.78/0.50 thf(decl_179, type, kpairiskpair: $o).
% 0.78/0.50 thf(decl_180, type, kpair: $i > $i > $i).
% 0.78/0.50 thf(decl_181, type, kpairp: $o).
% 0.78/0.50 thf(decl_182, type, cartprod: $i > $i > $i).
% 0.78/0.50 thf(decl_183, type, singletonsubset: $o).
% 0.78/0.50 thf(decl_184, type, singletoninpowerset: $o).
% 0.78/0.50 thf(decl_185, type, singletoninpowunion: $o).
% 0.78/0.50 thf(decl_186, type, upairset2E: $o).
% 0.78/0.50 thf(decl_187, type, upairsubunion: $o).
% 0.78/0.50 thf(decl_188, type, upairinpowunion: $o).
% 0.78/0.50 thf(decl_189, type, ubforcartprodlem1: $o).
% 0.78/0.50 thf(decl_190, type, ubforcartprodlem2: $o).
% 0.78/0.50 thf(decl_191, type, ubforcartprodlem3: $o).
% 0.78/0.50 thf(decl_192, type, cartprodpairin: $o).
% 0.78/0.50 thf(decl_193, type, cartprodmempair1: $o).
% 0.78/0.50 thf(decl_194, type, cartprodmempair: $o).
% 0.78/0.50 thf(decl_195, type, setunionE2: $o).
% 0.78/0.50 thf(decl_196, type, setunionsingleton1: $o).
% 0.78/0.50 thf(decl_197, type, setunionsingleton2: $o).
% 0.78/0.50 thf(decl_198, type, setunionsingleton: $o).
% 0.78/0.50 thf(decl_199, type, singleton: $i > $o).
% 0.78/0.50 thf(decl_200, type, singletonprop: $o).
% 0.78/0.50 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 0.78/0.50 thf(decl_202, type, ex1E1: $o).
% 0.78/0.50 thf(decl_203, type, ex1I: $o).
% 0.78/0.50 thf(decl_204, type, ex1I2: $o).
% 0.78/0.50 thf(decl_205, type, singletonsuniq: $o).
% 0.78/0.50 thf(decl_210, type, setukpairinjL1: $o).
% 0.78/0.50 thf(decl_211, type, kfstsingleton: $o).
% 0.78/0.50 thf(decl_212, type, theprop: $o).
% 0.78/0.50 thf(decl_213, type, kfst: $i > $i).
% 0.78/0.50 thf(decl_214, type, kfstpairEq: $o).
% 0.78/0.50 thf(decl_215, type, cartprodfstin: $o).
% 0.78/0.50 thf(decl_216, type, setukpairinjL2: $o).
% 0.78/0.50 thf(decl_217, type, setukpairinjL: $o).
% 0.78/0.50 thf(decl_218, type, setukpairinjR11: $o).
% 0.78/0.50 thf(decl_219, type, setukpairinjR12: $o).
% 0.78/0.50 thf(decl_220, type, setukpairinjR1: $o).
% 0.78/0.50 thf(decl_221, type, upairequniteq: $o).
% 0.78/0.50 thf(decl_222, type, setukpairinjR2: $o).
% 0.78/0.50 thf(decl_223, type, setukpairinjR: $o).
% 0.78/0.50 thf(decl_224, type, ksndsingleton: $o).
% 0.78/0.50 thf(decl_225, type, ksnd: $i > $i).
% 0.78/0.50 thf(decl_226, type, ksndpairEq: $o).
% 0.78/0.50 thf(decl_227, type, kpairsurjEq: $o).
% 0.78/0.50 thf(decl_228, type, cartprodsndin: $o).
% 0.78/0.50 thf(decl_229, type, cartprodpairmemEL: $o).
% 0.78/0.50 thf(decl_230, type, cartprodpairmemER: $o).
% 0.78/0.50 thf(decl_231, type, cartprodmempaircEq: $o).
% 0.78/0.50 thf(decl_232, type, cartprodfstpairEq: $o).
% 0.78/0.50 thf(decl_233, type, cartprodsndpairEq: $o).
% 0.78/0.50 thf(decl_234, type, cartprodpairsurjEq: $o).
% 0.78/0.50 thf(decl_235, type, breln: $i > $i > $i > $o).
% 0.78/0.50 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 0.78/0.50 thf(decl_237, type, dpsetconstrI: $o).
% 0.78/0.50 thf(decl_238, type, dpsetconstrSub: $o).
% 0.78/0.50 thf(decl_239, type, setOfPairsIsBReln: $o).
% 0.78/0.50 thf(decl_240, type, dpsetconstrERa: $o).
% 0.78/0.50 thf(decl_241, type, dpsetconstrEL1: $o).
% 0.78/0.50 thf(decl_242, type, dpsetconstrEL2: $o).
% 0.78/0.50 thf(decl_243, type, dpsetconstrER: $o).
% 0.78/0.50 thf(decl_244, type, func: $i > $i > $i > $o).
% 0.78/0.50 thf(decl_245, type, funcSet: $i > $i > $i).
% 0.78/0.50 thf(decl_246, type, funcImageSingleton: $o).
% 0.78/0.50 thf(decl_247, type, apProp: $o).
% 0.78/0.50 thf(decl_248, type, ap: $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_249, type, app: $o).
% 0.78/0.50 thf(decl_250, type, infuncsetfunc: $o).
% 0.78/0.50 thf(decl_251, type, ap2p: $o).
% 0.78/0.50 thf(decl_252, type, funcinfuncset: $o).
% 0.78/0.50 thf(decl_253, type, lamProp: $o).
% 0.78/0.50 thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
% 0.78/0.50 thf(decl_255, type, lamp: $o).
% 0.78/0.50 thf(decl_256, type, lam2p: $o).
% 0.78/0.50 thf(decl_257, type, brelnall1: $o).
% 0.78/0.50 thf(decl_258, type, brelnall2: $o).
% 0.78/0.50 thf(decl_259, type, ex1E2: $o).
% 0.78/0.50 thf(decl_260, type, funcGraphProp1: $o).
% 0.78/0.50 thf(decl_261, type, funcGraphProp3: $o).
% 0.78/0.50 thf(decl_262, type, funcGraphProp2: $o).
% 0.78/0.50 thf(decl_263, type, funcextLem: $o).
% 0.78/0.50 thf(decl_264, type, funcGraphProp4: $o).
% 0.78/0.50 thf(decl_265, type, subbreln: $o).
% 0.78/0.50 thf(decl_266, type, eqbreln: $o).
% 0.78/0.50 thf(decl_267, type, funcext: $o).
% 0.78/0.50 thf(decl_268, type, funcext2: $o).
% 0.78/0.50 thf(decl_269, type, ap2apEq1: $o).
% 0.78/0.50 thf(decl_270, type, ap2apEq2: $o).
% 0.78/0.50 thf(decl_271, type, beta1: $o).
% 0.78/0.50 thf(decl_272, type, eta1: $o).
% 0.78/0.50 thf(decl_273, type, lam2lamEq: $o).
% 0.78/0.50 thf(decl_274, type, beta2: $o).
% 0.78/0.50 thf(decl_275, type, eta2: $o).
% 0.78/0.50 thf(decl_276, type, iffalseProp1: $o).
% 0.78/0.50 thf(decl_277, type, iffalseProp2: $o).
% 0.78/0.50 thf(decl_278, type, iftrueProp1: $o).
% 0.78/0.50 thf(decl_279, type, iftrueProp2: $o).
% 0.78/0.50 thf(decl_280, type, ifSingleton: $o).
% 0.78/0.50 thf(decl_281, type, if: $i > $o > $i > $i > $i).
% 0.78/0.50 thf(decl_282, type, ifp: $o).
% 0.78/0.50 thf(decl_283, type, theeq: $o).
% 0.78/0.50 thf(decl_284, type, iftrue: $o).
% 0.78/0.50 thf(decl_285, type, iffalse: $o).
% 0.78/0.50 thf(decl_286, type, iftrueorfalse: $o).
% 0.78/0.50 thf(decl_287, type, binintersectT_lem: $o).
% 0.78/0.50 thf(decl_288, type, binunionT_lem: $o).
% 0.78/0.50 thf(decl_289, type, powersetT_lem: $o).
% 0.78/0.50 thf(decl_290, type, setminusT_lem: $o).
% 0.78/0.50 thf(decl_291, type, complementT_lem: $o).
% 0.78/0.50 thf(decl_292, type, setextT: $o).
% 0.78/0.50 thf(decl_293, type, subsetTI: $o).
% 0.78/0.50 thf(decl_294, type, powersetTI1: $o).
% 0.78/0.50 thf(decl_295, type, powersetTE1: $o).
% 0.78/0.50 thf(decl_296, type, complementTI1: $o).
% 0.78/0.50 thf(decl_297, type, complementTE1: $o).
% 0.78/0.50 thf(decl_298, type, binintersectTELcontra: $o).
% 0.78/0.50 thf(decl_299, type, binintersectTERcontra: $o).
% 0.78/0.50 thf(decl_300, type, contrasubsetT: $o).
% 0.78/0.50 thf(decl_301, type, contrasubsetT1: $o).
% 0.78/0.50 thf(decl_302, type, contrasubsetT2: $o).
% 0.78/0.50 thf(decl_303, type, contrasubsetT3: $o).
% 0.78/0.50 thf(decl_304, type, doubleComplementI1: $o).
% 0.78/0.50 thf(decl_305, type, doubleComplementE1: $o).
% 0.78/0.50 thf(decl_306, type, doubleComplementSub1: $o).
% 0.78/0.50 thf(decl_307, type, doubleComplementSub2: $o).
% 0.78/0.50 thf(decl_308, type, doubleComplementEq: $o).
% 0.78/0.50 thf(decl_309, type, complementTnotintersectT: $o).
% 0.78/0.50 thf(decl_310, type, complementImpComplementIntersect: $o).
% 0.78/0.50 thf(decl_311, type, complementSubsetComplementIntersect: $o).
% 0.78/0.50 thf(decl_312, type, complementInPowersetComplementIntersect: $o).
% 0.78/0.50 thf(decl_313, type, contraSubsetComplement: $o).
% 0.78/0.50 thf(decl_314, type, complementTcontraSubset: $o).
% 0.78/0.50 thf(decl_315, type, binunionTILcontra: $o).
% 0.78/0.50 thf(decl_316, type, binunionTIRcontra: $o).
% 0.78/0.50 thf(decl_317, type, inIntersectImpInUnion: $o).
% 0.78/0.50 thf(decl_318, type, inIntersectImpInUnion2: $o).
% 0.78/0.50 thf(decl_319, type, inIntersectImpInIntersectUnions: $o).
% 0.78/0.50 thf(decl_320, type, intersectInPowersetIntersectUnions: $o).
% 0.78/0.50 thf(decl_321, type, inComplementUnionImpNotIn1: $o).
% 0.78/0.50 thf(decl_322, type, inComplementUnionImpInComplement1: $o).
% 0.78/0.50 thf(decl_323, type, binunionTE: $o).
% 0.78/0.50 thf(decl_324, type, binunionTEcontra: $o).
% 0.78/0.50 thf(decl_325, type, demorgan2a1: $o).
% 0.78/0.50 thf(decl_326, type, complementUnionInPowersetComplement: $o).
% 0.78/0.50 thf(decl_327, type, demorgan2a2: $o).
% 0.78/0.50 thf(decl_328, type, demorgan1a: $o).
% 0.78/0.50 thf(decl_329, type, demorgan1b: $o).
% 0.78/0.50 thf(decl_330, type, demorgan1: $o).
% 0.78/0.50 thf(decl_331, type, demorgan2a: $o).
% 0.78/0.50 thf(decl_332, type, demorgan2b2: $o).
% 0.78/0.50 thf(decl_333, type, demorgan2b: $o).
% 0.78/0.50 thf(decl_334, type, demorgan2: $o).
% 0.78/0.50 thf(decl_335, type, woz13rule0: $o).
% 0.78/0.50 thf(decl_336, type, woz13rule1: $o).
% 0.78/0.50 thf(decl_337, type, woz13rule2: $o).
% 0.78/0.50 thf(decl_338, type, woz13rule3: $o).
% 0.78/0.50 thf(decl_339, type, woz13rule4: $o).
% 0.78/0.50 thf(decl_340, type, woz1_1: $o).
% 0.78/0.50 thf(decl_341, type, woz1_2: $o).
% 0.78/0.50 thf(decl_342, type, woz1_3: $o).
% 0.78/0.50 thf(decl_343, type, woz1_4: $o).
% 0.78/0.50 thf(decl_344, type, woz1_5: $o).
% 0.78/0.50 thf(decl_345, type, breln1: $i > $i > $o).
% 0.78/0.50 thf(decl_346, type, breln1all2: $o).
% 0.78/0.50 thf(decl_347, type, breln1Set: $i > $i).
% 0.78/0.50 thf(decl_348, type, breln1SetBreln1: $o).
% 0.78/0.50 thf(decl_355, type, choice2fnsingleton: $o).
% 0.78/0.50 thf(decl_356, type, setOfPairsIsBReln1: $o).
% 0.78/0.50 thf(decl_357, type, breln1all1: $o).
% 0.78/0.50 thf(decl_358, type, subbreln1: $o).
% 0.78/0.50 thf(decl_359, type, eqbreln1: $o).
% 0.78/0.50 thf(decl_360, type, breln1invset: $i > $i > $i).
% 0.78/0.50 thf(decl_361, type, breln1invprop: $o).
% 0.78/0.50 thf(decl_362, type, breln1invI: $o).
% 0.78/0.50 thf(decl_363, type, breln1invE: $o).
% 0.78/0.50 thf(decl_364, type, breln1compset: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_365, type, breln1compprop: $o).
% 0.78/0.50 thf(decl_366, type, breln1compI: $o).
% 0.78/0.50 thf(decl_367, type, breln1compE: $o).
% 0.78/0.50 thf(decl_368, type, breln1compEex: $o).
% 0.78/0.50 thf(decl_369, type, breln1unionprop: $o).
% 0.78/0.50 thf(decl_370, type, breln1unionIL: $o).
% 0.78/0.50 thf(decl_371, type, breln1unionIR: $o).
% 0.78/0.50 thf(decl_372, type, breln1unionI: $o).
% 0.78/0.50 thf(decl_373, type, epred1_0: $o).
% 0.78/0.50 thf(decl_374, type, esk1_2: $i > $i > $i).
% 0.78/0.50 thf(decl_375, type, esk2_2: $i > $i > $i).
% 0.78/0.50 thf(decl_376, type, esk3_2: $i > $i > $i).
% 0.78/0.50 thf(decl_377, type, esk4_1: $i > $i).
% 0.78/0.50 thf(decl_378, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.78/0.50 thf(decl_379, type, esk6_2: ($i > $i > $o) > $i > $i).
% 0.78/0.50 thf(decl_380, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 0.78/0.50 thf(decl_381, type, esk8_1: $i > $i).
% 0.78/0.50 thf(decl_382, type, esk9_1: ($i > $o) > $i).
% 0.78/0.50 thf(decl_383, type, esk10_1: ($i > $o) > $i).
% 0.78/0.50 thf(decl_384, type, esk11_2: $i > $i > $i).
% 0.78/0.50 thf(decl_385, type, esk12_2: $i > $i > $i).
% 0.78/0.50 thf(decl_386, type, esk13_1: $i > $i).
% 0.78/0.50 thf(decl_387, type, esk14_1: $i > $i).
% 0.78/0.50 thf(decl_388, type, esk15_1: $i > $i).
% 0.78/0.50 thf(decl_389, type, esk16_2: $i > $i > $i).
% 0.78/0.50 thf(decl_390, type, esk17_3: $i > $i > $o > $i).
% 0.78/0.50 thf(decl_391, type, esk18_1: ($i > $o) > $i).
% 0.78/0.50 thf(decl_392, type, esk19_1: $i > $i).
% 0.78/0.50 thf(decl_393, type, esk20_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_394, type, esk21_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_395, type, esk22_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_396, type, esk23_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_397, type, esk24_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_398, type, esk25_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_399, type, esk26_2: ($i > $o) > $i > $i).
% 0.78/0.50 thf(decl_400, type, esk27_1: ($i > $o) > $i).
% 0.78/0.50 thf(decl_401, type, esk28_1: ($i > $o) > $i).
% 0.78/0.50 thf(decl_402, type, esk29_2: ($i > $o) > $i > $i).
% 0.78/0.50 thf(decl_403, type, esk30_2: ($i > $o) > ($i > $o) > $i).
% 0.78/0.50 thf(decl_404, type, esk31_2: ($i > $o) > ($i > $o) > $i).
% 0.78/0.50 thf(decl_405, type, esk32_2: ($i > $o) > ($i > $o) > $i).
% 0.78/0.50 thf(decl_406, type, esk33_2: ($i > $o) > ($i > $o) > $i).
% 0.78/0.50 thf(decl_407, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.78/0.50 thf(decl_408, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.78/0.50 thf(decl_409, type, esk36_2: $i > $i > $i).
% 0.78/0.50 thf(decl_410, type, esk37_2: $i > $i > $i).
% 0.78/0.50 thf(decl_411, type, esk38_2: $i > $i > $i).
% 0.78/0.50 thf(decl_412, type, esk39_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_413, type, esk40_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_414, type, esk41_2: $i > $i > $i).
% 0.78/0.50 thf(decl_415, type, esk42_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_416, type, esk43_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_417, type, esk44_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_418, type, esk45_3: $i > ($i > $o) > $i > $i).
% 0.78/0.50 thf(decl_419, type, esk46_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_420, type, esk47_2: $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_421, type, esk48_3: $i > $i > ($i > $i) > $i).
% 0.78/0.50 thf(decl_422, type, esk49_3: $i > $i > ($i > $i) > $i).
% 0.78/0.50 thf(decl_423, type, esk50_3: $i > $i > ($i > $i) > $i).
% 0.78/0.50 thf(decl_424, type, esk51_4: $i > $i > $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_425, type, esk52_4: $i > $i > $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_426, type, esk53_4: $i > $i > $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_427, type, esk54_4: $i > $i > $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_428, type, esk55_4: $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_429, type, esk56_4: $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_430, type, esk57_4: $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_431, type, esk58_4: $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_432, type, esk59_4: $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_433, type, esk60_4: $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_434, type, esk61_4: $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_435, type, esk62_4: $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_436, type, esk63_4: $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_437, type, esk64_3: $i > $i > ($i > $i) > $i).
% 0.78/0.50 thf(decl_438, type, esk65_3: $i > $i > ($i > $i) > $i).
% 0.78/0.50 thf(decl_439, type, esk66_3: $i > $i > ($i > $i) > $i).
% 0.78/0.50 thf(decl_440, type, esk67_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_441, type, esk68_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_442, type, esk69_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_443, type, esk70_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_444, type, esk71_3: $i > $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_445, type, esk72_3: $i > $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_446, type, esk73_3: $i > $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_447, type, esk74_3: $i > $i > ($i > $o) > $i).
% 0.78/0.50 thf(decl_448, type, esk75_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_449, type, esk76_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_450, type, esk77_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_451, type, esk78_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_452, type, esk79_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_453, type, esk80_3: $i > $i > $i > $i).
% 0.78/0.50 thf(decl_454, type, esk81_5: $i > $i > $i > $i > $i > $i).
% 0.78/0.50 thf(decl_455, type, esk82_6: $i > $i > $i > $i > $i > $o > $i).
% 0.78/0.50 thf(decl_456, type, esk83_0: $i).
% 0.78/0.50 thf(decl_457, type, esk84_0: $i).
% 0.78/0.50 thf(decl_458, type, esk85_0: $i).
% 0.78/0.50 thf(decl_459, type, esk86_0: $i).
% 0.78/0.50 thf(decl_460, type, esk87_0: $i).
% 0.78/0.50 thf(breln1unionE, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((woz1_3)=>((woz1_4)=>((woz1_5)=>((breln1all2)=>((breln1SetBreln1)=>((choice2fnsingleton)=>((setOfPairsIsBReln1)=>((breln1all1)=>((subbreln1)=>((eqbreln1)=>((breln1invprop)=>((breln1invI)=>((breln1invE)=>((breln1compprop)=>((breln1compI)=>((breln1compE)=>((breln1compEex)=>((breln1unionprop)=>((breln1unionIL)=>((breln1unionIR)=>((breln1unionI)=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))=>((in @ (kpair @ X2 @ X3) @ X33)|(in @ (kpair @ X2 @ X3) @ X35))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1unionE)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', exuI2)).
% 0.78/0.50 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', exuI3)).
% 0.78/0.50 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', exuI1)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', exuE3u)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', exuEu)).
% 0.78/0.50 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', exu__Cong)).
% 0.78/0.50 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', descr__Cong)).
% 0.78/0.50 thf(setOfPairsIsBReln1, axiom, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((X53 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setOfPairsIsBReln1)).
% 0.78/0.50 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', dsetconstr__Cong)).
% 0.78/0.50 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', sepInPowerset)).
% 0.78/0.50 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', sepSubset)).
% 0.78/0.50 thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', apProp)).
% 0.78/0.50 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', funcImageSingleton)).
% 0.78/0.50 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:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', dpsetconstrER)).
% 0.78/0.50 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', dpsetconstrEL2)).
% 0.78/0.50 thf(ex1E2, axiom, ((ex1E2)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', ex1E2)).
% 0.78/0.50 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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', singletonprop)).
% 0.78/0.50 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', kfstsingleton)).
% 0.78/0.50 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', ex1I2)).
% 0.78/0.50 thf(ex1I, axiom, ((ex1I)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', ex1I)).
% 0.78/0.50 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', ex1E1)).
% 0.78/0.50 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', ksndsingleton)).
% 0.78/0.50 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', dpsetconstrERa)).
% 0.78/0.50 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setOfPairsIsBReln)).
% 0.78/0.50 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', dpsetconstrSub)).
% 0.78/0.50 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', dpsetconstrI)).
% 0.78/0.50 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', dpsetconstrEL1)).
% 0.78/0.50 thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', lam2p)).
% 0.78/0.50 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', lamp)).
% 0.78/0.50 thf(lamProp, axiom, ((lamProp)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', lamProp)).
% 0.78/0.50 thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X39))&(((X14)=(X2)))))|(((~((X39)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', iffalseProp1)).
% 0.78/0.50 thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', eta2)).
% 0.78/0.50 thf(beta2, axiom, ((beta2)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', beta2)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', lam2lamEq)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', eta1)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', beta1)).
% 0.78/0.50 thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X40))&(((X14)=(X2)))))|(((~((X40)))&(((X14)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', iffalseProp2)).
% 0.78/0.50 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', ifSingleton)).
% 0.78/0.50 thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X42))&(((X14)=(X2)))))|(((~((X42)))&(((X14)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', iftrueProp2)).
% 0.78/0.50 thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', iftrueProp1)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', emptyE1)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', exuE2)).
% 0.78/0.50 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setoftrueEq)).
% 0.78/0.50 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', nonemptyI)).
% 0.78/0.50 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setbeta)).
% 0.78/0.50 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', exuE3e)).
% 0.78/0.50 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', exuE1)).
% 0.78/0.50 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', dsetconstrER)).
% 0.78/0.50 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', dsetconstrEL)).
% 0.78/0.50 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', dsetconstrI)).
% 0.78/0.50 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', descrp)).
% 0.78/0.50 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', replAx)).
% 0.78/0.50 thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', doubleComplementEq)).
% 0.78/0.50 thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', doubleComplementSub2)).
% 0.78/0.50 thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', complementTnotintersectT)).
% 0.78/0.50 thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', complementImpComplementIntersect)).
% 0.78/0.50 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', in__Cong)).
% 0.78/0.50 thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', complementSubsetComplementIntersect)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', inCongP)).
% 0.78/0.50 thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', complementInPowersetComplementIntersect)).
% 0.78/0.50 thf(contraSubsetComplement, axiom, ((contraSubsetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ (setminus @ X4 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', contraSubsetComplement)).
% 0.78/0.50 thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', complementTcontraSubset)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', binunionTILcontra)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', binunionTIRcontra)).
% 0.78/0.50 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:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X21 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', inIntersectImpInUnion)).
% 0.78/0.50 thf(inIntersectImpInUnion2, axiom, ((inIntersectImpInUnion2)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', inIntersectImpInUnion2)).
% 0.78/0.50 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:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', inIntersectImpInIntersectUnions)).
% 0.78/0.50 thf(intersectInPowersetIntersectUnions, axiom, ((intersectInPowersetIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', intersectInPowersetIntersectUnions)).
% 0.78/0.50 thf(inComplementUnionImpNotIn1, axiom, ((inComplementUnionImpNotIn1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', inComplementUnionImpNotIn1)).
% 0.78/0.50 thf(inComplementUnionImpInComplement1, axiom, ((inComplementUnionImpInComplement1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', inComplementUnionImpInComplement1)).
% 0.78/0.50 thf(binunionTE, axiom, ((binunionTE)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', binunionTE)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', binunionTEcontra)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', demorgan2a1)).
% 0.78/0.50 thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', complementUnionInPowersetComplement)).
% 0.78/0.50 thf(demorgan2a2, axiom, ((demorgan2a2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', demorgan2a2)).
% 0.78/0.50 thf(demorgan1a, axiom, ((demorgan1a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48)))=>(in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', demorgan1a)).
% 0.78/0.50 thf(demorgan1b, axiom, ((demorgan1b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', demorgan1b)).
% 0.78/0.50 thf(demorgan1, axiom, ((demorgan1)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', demorgan1)).
% 0.78/0.50 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', omega__Cong)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', demorgan2a)).
% 0.78/0.50 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setunion__Cong)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', demorgan2b2)).
% 0.78/0.50 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', powerset__Cong)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', demorgan2b)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', setadjoin__Cong)).
% 0.78/0.50 thf(demorgan2, axiom, ((demorgan2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binunion @ X21 @ X48))=(binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', demorgan2)).
% 0.78/0.50 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', emptyset__Cong)).
% 0.78/0.50 thf(woz13rule0, axiom, ((woz13rule0)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ X4)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', woz13rule0)).
% 0.78/0.50 thf(woz13rule1, axiom, ((woz13rule1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', woz13rule1)).
% 0.78/0.50 thf(woz13rule2, axiom, ((woz13rule2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X48 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', woz13rule2)).
% 0.78/0.50 thf(woz13rule3, axiom, ((woz13rule3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', woz13rule3)).
% 0.78/0.50 thf(woz13rule4, axiom, ((woz13rule4)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', woz13rule4)).
% 0.78/0.50 thf(woz1_1, axiom, ((woz1_1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', woz1_1)).
% 0.78/0.50 thf(woz1_2, axiom, ((woz1_2)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', woz1_2)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', woz1_3)).
% 0.78/0.50 thf(woz1_4, axiom, ((woz1_4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', woz1_4)).
% 0.78/0.50 thf(woz1_5, axiom, ((woz1_5)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', woz1_5)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', breln1all2)).
% 0.78/0.50 thf(breln1SetBreln1, axiom, ((breln1SetBreln1)<=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1SetBreln1)).
% 0.78/0.50 thf(breln1all1, axiom, ((breln1all1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1all1)).
% 0.78/0.50 thf(subbreln1, axiom, ((subbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subbreln1)).
% 0.78/0.50 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subsetE)).
% 0.78/0.50 thf(eqbreln1, axiom, ((eqbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', eqbreln1)).
% 0.78/0.50 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', emptysetsubset)).
% 0.78/0.50 thf(breln1invprop, axiom, ((breln1invprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>(breln1 @ X4 @ (breln1invset @ X4 @ X33))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1invprop)).
% 0.78/0.50 thf(breln1invI, axiom, ((breln1invI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1invI)).
% 0.78/0.50 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subsetI2)).
% 0.78/0.50 thf(breln1invE, axiom, ((breln1invE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33))=>(in @ (kpair @ X2 @ X3) @ X33))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1invE)).
% 0.78/0.50 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', eqimpsubset1)).
% 0.78/0.50 thf(breln1compprop, axiom, ((breln1compprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (breln1compset @ X4 @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1compprop)).
% 0.78/0.50 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', eqimpsubset2)).
% 0.78/0.50 thf(breln1compI, axiom, ((breln1compI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1compI)).
% 0.78/0.50 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subsetI1)).
% 0.78/0.50 thf(breln1compE, axiom, ((breln1compE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))=>?[X14:$i]:((((in @ X14 @ X4)&(in @ (kpair @ X2 @ X14) @ X33))&(in @ (kpair @ X14 @ X3) @ X35))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1compE)).
% 0.78/0.50 thf(breln1compEex, axiom, ((breln1compEex)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))=>![X54:$o]:((![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(X54)))))=>(X54))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1compEex)).
% 0.78/0.50 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subsetE2)).
% 0.78/0.50 thf(breln1unionprop, axiom, ((breln1unionprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (binunion @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1unionprop)).
% 0.78/0.50 thf(breln1unionIL, axiom, ((breln1unionIL)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1unionIL)).
% 0.78/0.50 thf(breln1unionIR, axiom, ((breln1unionIR)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1unionIR)).
% 0.78/0.50 thf(breln1unionI, axiom, ((breln1unionI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(((in @ (kpair @ X2 @ X3) @ X33)|(in @ (kpair @ X2 @ X3) @ X35))=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', breln1unionI)).
% 0.78/0.50 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusSubset2)).
% 0.78/0.50 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusER)).
% 0.78/0.50 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusEL)).
% 0.78/0.50 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setadjoinSub2)).
% 0.78/0.50 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setadjoinSub)).
% 0.78/0.50 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subsetTrans)).
% 0.78/0.50 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subsetRefl)).
% 0.78/0.50 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', notequalI2)).
% 0.78/0.50 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', notequalI1)).
% 0.78/0.50 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', notsubsetI)).
% 0.78/0.50 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subset2powerset)).
% 0.78/0.50 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', powersetsubset)).
% 0.78/0.50 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', inPowerset)).
% 0.78/0.50 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', powersetE1)).
% 0.78/0.50 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', powersetI1)).
% 0.78/0.50 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subsetemptysetimpeq)).
% 0.78/0.50 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setextsub)).
% 0.78/0.50 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binunionRsub)).
% 0.78/0.50 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binunionLsub)).
% 0.78/0.50 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binunionE)).
% 0.78/0.50 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binunionEcases)).
% 0.78/0.50 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binunionIR)).
% 0.78/0.50 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', upairset2IR)).
% 0.78/0.50 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binunionIL)).
% 0.78/0.50 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectI)).
% 0.78/0.50 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', disjointsetsI1)).
% 0.78/0.50 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectER)).
% 0.78/0.50 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectSubset3)).
% 0.78/0.50 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectSubset2)).
% 0.78/0.50 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectLsub)).
% 0.78/0.50 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectEL)).
% 0.78/0.50 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectSubset5)).
% 0.78/0.50 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectRsub)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', app)).
% 0.78/0.50 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', funcinfuncset)).
% 0.78/0.50 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', funcGraphProp1)).
% 0.78/0.50 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusI)).
% 0.78/0.50 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', bs114d)).
% 0.78/0.50 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectSubset1)).
% 0.78/0.50 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectSubset4)).
% 0.78/0.50 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusERneg)).
% 0.78/0.50 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', symdiffI1)).
% 0.78/0.50 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', symdiffE)).
% 0.78/0.50 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusSubset1)).
% 0.78/0.50 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusLsub)).
% 0.78/0.50 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusIRneg)).
% 0.78/0.50 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusILneg)).
% 0.78/0.50 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusELneg)).
% 0.78/0.50 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', symdiffI2)).
% 0.78/0.50 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', kpairp)).
% 0.78/0.50 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', kpairiskpair)).
% 0.78/0.50 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setukpairIR)).
% 0.78/0.50 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setukpairIL)).
% 0.78/0.50 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', secondinupair)).
% 0.78/0.50 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', symdiffIneg2)).
% 0.78/0.50 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', symdiffIneg1)).
% 0.78/0.50 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', singletonsubset)).
% 0.78/0.50 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', ubforcartprodlem2)).
% 0.78/0.50 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', ubforcartprodlem1)).
% 0.78/0.50 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', upairinpowunion)).
% 0.78/0.50 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', upairsubunion)).
% 0.78/0.50 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', upairset2E)).
% 0.78/0.50 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', singletoninpowunion)).
% 0.78/0.50 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', singletoninpowerset)).
% 0.78/0.50 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', ubforcartprodlem3)).
% 0.78/0.50 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setunionsingleton)).
% 0.78/0.50 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setunionsingleton2)).
% 0.78/0.50 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setunionsingleton1)).
% 0.78/0.50 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setunionE2)).
% 0.78/0.50 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', cartprodmempair)).
% 0.78/0.50 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', cartprodmempair1)).
% 0.78/0.50 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', cartprodpairin)).
% 0.78/0.50 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', theprop)).
% 0.78/0.50 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setukpairinjL1)).
% 0.78/0.50 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', singletonsuniq)).
% 0.78/0.50 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', kfstpairEq)).
% 0.78/0.50 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', upairequniteq)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', setukpairinjR1)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', setukpairinjR12)).
% 0.78/0.50 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setukpairinjR11)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', setukpairinjL)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', setukpairinjL2)).
% 0.78/0.50 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', cartprodfstin)).
% 0.78/0.50 thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setukpairinjR2)).
% 0.78/0.50 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', cartprodpairmemER)).
% 0.78/0.50 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', cartprodpairmemEL)).
% 0.78/0.50 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', cartprodsndin)).
% 0.78/0.50 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', kpairsurjEq)).
% 0.78/0.50 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', ksndpairEq)).
% 0.78/0.50 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setukpairinjR)).
% 0.78/0.50 thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', cartprodmempaircEq)).
% 0.78/0.50 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', cartprodpairsurjEq)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', cartprodsndpairEq)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', cartprodfstpairEq)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', ap2p)).
% 0.78/0.50 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', infuncsetfunc)).
% 0.78/0.50 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', brelnall2)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', brelnall1)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', funcGraphProp3)).
% 0.78/0.50 thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', funcext2)).
% 0.78/0.50 thf(funcext, axiom, ((funcext)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', funcext)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', eqbreln)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', subbreln)).
% 0.78/0.50 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', funcGraphProp4)).
% 0.78/0.50 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', funcextLem)).
% 0.78/0.50 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', funcGraphProp2)).
% 0.78/0.50 thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', ap2apEq1)).
% 0.78/0.50 thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', ap2apEq2)).
% 0.78/0.50 thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', iffalse)).
% 0.78/0.50 thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', iftrue)).
% 0.78/0.50 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', theeq)).
% 0.78/0.50 thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', ifp)).
% 0.78/0.50 thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', iftrueorfalse)).
% 0.78/0.50 thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subsetTI)).
% 0.78/0.50 thf(setextT, axiom, ((setextT)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', setextT)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', complementT_lem)).
% 0.78/0.50 thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setminusT_lem)).
% 0.78/0.50 thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', powersetT_lem)).
% 0.78/0.50 thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', binunionT_lem)).
% 0.78/0.50 thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectT_lem)).
% 0.78/0.50 thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', powersetTI1)).
% 0.78/0.50 thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', contrasubsetT1)).
% 0.78/0.50 thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', contrasubsetT)).
% 0.78/0.50 thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectTERcontra)).
% 0.78/0.50 thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', binintersectTELcontra)).
% 0.78/0.50 thf(complementTE1, axiom, ((complementTE1)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', complementTE1)).
% 0.78/0.50 thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', complementTI1)).
% 0.78/0.50 thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', powersetTE1)).
% 0.78/0.50 thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', contrasubsetT3)).
% 0.78/0.50 thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', doubleComplementI1)).
% 0.78/0.50 thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', doubleComplementE1)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', doubleComplementSub1)).
% 0.78/0.50 thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', contrasubsetT2)).
% 0.78/0.50 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', notdallE)).
% 0.78/0.50 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', notdexE)).
% 0.78/0.50 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', prop2setI)).
% 0.78/0.50 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', quantDeMorgan4)).
% 0.78/0.50 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', quantDeMorgan3)).
% 0.78/0.50 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', quantDeMorgan2)).
% 0.78/0.50 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', quantDeMorgan1)).
% 0.78/0.50 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', vacuousDall)).
% 0.78/0.50 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', upairsetIR)).
% 0.78/0.50 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', upairsetIL)).
% 0.78/0.50 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', upairsetE)).
% 0.78/0.50 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', singletonsswitch)).
% 0.78/0.50 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', eqinunit)).
% 0.78/0.50 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', notinsingleton)).
% 0.78/0.50 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', uniqinunit)).
% 0.78/0.50 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', nonemptyImpWitness)).
% 0.78/0.50 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', subPowSU)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', setunionE)).
% 0.78/0.50 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setunionI)).
% 0.78/0.50 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', powersetE)).
% 0.78/0.50 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', emptyInPowerset)).
% 0.78/0.50 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', emptyinPowerset)).
% 0.78/0.50 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', powersetI)).
% 0.78/0.50 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setadjoinOr)).
% 0.78/0.50 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.Jwp2SMid7q/E---3.1_428887.p', setadjoinE)).
% 0.78/0.50 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setadjoinIR)).
% 0.78/0.50 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', emptyinunitempty)).
% 0.78/0.50 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setadjoinIL)).
% 0.78/0.50 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', nonemptyI1)).
% 0.78/0.50 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', nonemptyE1)).
% 0.78/0.50 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', noeltsimpempty)).
% 0.78/0.50 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', emptyI)).
% 0.78/0.50 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setext)).
% 0.78/0.50 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', notinemptyset)).
% 0.78/0.50 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', emptysetimpfalse)).
% 0.78/0.50 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', emptysetE)).
% 0.78/0.50 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', prop2setE)).
% 0.78/0.50 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', wellorderingAx)).
% 0.78/0.50 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', foundationAx)).
% 0.78/0.50 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.Jwp2SMid7q/E---3.1_428887.p', omegaIndAx)).
% 0.78/0.50 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', omegaSAx)).
% 0.78/0.50 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', omega0Ax)).
% 0.78/0.50 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setunionAx)).
% 0.78/0.50 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', powersetAx)).
% 0.78/0.50 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setadjoinAx)).
% 0.78/0.50 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', emptysetAx)).
% 0.78/0.50 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Jwp2SMid7q/E---3.1_428887.p', setextAx)).
% 0.78/0.50 thf(c_0_301, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>((contrasubsetT1)=>((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>((doubleComplementE1)=>((doubleComplementSub1)=>((doubleComplementSub2)=>((doubleComplementEq)=>((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>((complementInPowersetComplementIntersect)=>((contraSubsetComplement)=>((complementTcontraSubset)=>((binunionTILcontra)=>((binunionTIRcontra)=>((inIntersectImpInUnion)=>((inIntersectImpInUnion2)=>((inIntersectImpInIntersectUnions)=>((intersectInPowersetIntersectUnions)=>((inComplementUnionImpNotIn1)=>((inComplementUnionImpInComplement1)=>((binunionTE)=>((binunionTEcontra)=>((demorgan2a1)=>((complementUnionInPowersetComplement)=>((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>((demorgan2b2)=>((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>((woz1_1)=>((woz1_2)=>((woz1_3)=>((woz1_4)=>((woz1_5)=>((breln1all2)=>((breln1SetBreln1)=>((choice2fnsingleton)=>((setOfPairsIsBReln1)=>((breln1all1)=>((subbreln1)=>((eqbreln1)=>((breln1invprop)=>((breln1invI)=>((breln1invE)=>((breln1compprop)=>((breln1compI)=>((breln1compE)=>((breln1compEex)=>((breln1unionprop)=>((breln1unionIL)=>((breln1unionIR)=>((breln1unionI)=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))=>((in @ (kpair @ X2 @ X3) @ X33)|(in @ (kpair @ X2 @ X3) @ X35)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[breln1unionE])).
% 0.78/0.50 thf(c_0_302, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.78/0.50 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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.78/0.50 thf(c_0_304, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 0.78/0.50 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])).
% 0.78/0.50 thf(c_0_306, 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])).
% 0.78/0.50 thf(c_0_307, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.78/0.50 thf(c_0_308, plain, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.78/0.50 thf(c_0_309, plain, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[Z0:$i, Z1:$i]:((X53 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln1])).
% 0.78/0.50 thf(c_0_310, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.78/0.50 thf(c_0_311, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.78/0.50 thf(c_0_312, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.78/0.50 thf(c_0_313, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
% 0.78/0.50 thf(c_0_314, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
% 0.78/0.50 thf(c_0_315, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 1.72/0.50 thf(c_0_316, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 1.72/0.50 thf(c_0_317, plain, ((ex1E2)<=>![X4:$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])).
% 1.72/0.50 thf(c_0_318, 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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 1.72/0.50 thf(c_0_319, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 1.72/0.50 thf(c_0_320, plain, ((ex1I2)<=>![X4:$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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 1.72/0.50 thf(c_0_321, plain, ((ex1I)<=>![X4:$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])).
% 1.72/0.50 thf(c_0_322, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 1.72/0.50 thf(c_0_323, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 1.72/0.50 thf(c_0_324, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 1.72/0.50 thf(c_0_325, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 1.72/0.50 thf(c_0_326, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 1.72/0.50 thf(c_0_327, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 1.72/0.50 thf(c_0_328, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 1.72/0.50 thf(c_0_329, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
% 1.72/0.50 thf(c_0_330, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
% 1.72/0.50 thf(c_0_331, plain, ((lamProp)<=>![X4:$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])).
% 1.72/0.50 thf(c_0_332, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X39))&(((Z0)=(X2)))))|(((~((X39)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
% 1.72/0.50 thf(c_0_333, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
% 1.72/0.50 thf(c_0_334, plain, ((beta2)<=>![X4:$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])).
% 1.72/0.50 thf(c_0_335, 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])).
% 1.72/0.50 thf(c_0_336, 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])).
% 1.72/0.50 thf(c_0_337, 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])).
% 1.72/0.50 thf(c_0_338, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X40))&(((Z0)=(X2)))))|(((~((X40)))&(((Z0)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
% 1.72/0.50 thf(c_0_339, plain, ((ifSingleton)<=>![X4:$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])).
% 1.72/0.50 thf(c_0_340, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X42))&(((Z0)=(X2)))))|(((~((X42)))&(((Z0)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
% 1.72/0.50 thf(c_0_341, plain, ((iftrueProp1)<=>![X4:$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])).
% 1.72/0.50 thf(c_0_342, 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])).
% 1.72/0.50 thf(c_0_343, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 1.72/0.50 thf(c_0_344, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 1.72/0.50 thf(c_0_345, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 1.72/0.50 thf(c_0_346, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 1.72/0.50 thf(c_0_347, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 1.72/0.50 thf(c_0_348, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 1.72/0.50 thf(c_0_349, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 1.72/0.50 thf(c_0_350, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 1.72/0.50 thf(c_0_351, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 1.72/0.50 thf(c_0_352, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 1.72/0.50 thf(c_0_353, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 1.72/0.50 thf(c_0_354, plain, ((epred1_0)<=>![X1071:$i]:(?[X1072:$i]:((((![X1073:$i]:(((in @ X1073 @ X1072)=>![X1074:$i]:(((in @ X1074 @ X1073)=>(in @ X1074 @ X1071)))))&![X1075:$i, X1076:$i]:((((in @ X1075 @ X1071)&(in @ X1076 @ X1071))=>(![X1077:$i]:(((in @ X1077 @ X1072)=>((in @ X1075 @ X1077)<=>(in @ X1076 @ X1077))))=>((X1075)=(X1076))))))&![X1078:$i, X1079:$i]:((((in @ X1078 @ X1072)&(in @ X1079 @ X1072))=>(![X1080:$i]:(((in @ X1080 @ X1078)=>(in @ X1080 @ X1079)))|![X1081:$i]:(((in @ X1081 @ X1079)=>(in @ X1081 @ X1078)))))))&![X1082:$i]:(((![X1083:$i]:(((in @ X1083 @ X1082)=>(in @ X1083 @ X1071)))&?[X1084:$i]:((in @ X1084 @ X1082)))=>?[X1085:$i, X1086:$i]:(((((in @ X1085 @ X1072)&(in @ X1086 @ X1082))&~(?[X1087:$i]:(((in @ X1087 @ X1085)&(in @ X1087 @ X1082)))))&![X1088:$i]:(((in @ X1088 @ X1072)=>(![X1089:$i]:(((in @ X1089 @ X1088)=>(in @ X1089 @ X1085)))|(in @ X1086 @ X1088)))))))))))), introduced(definition)).
% 1.72/0.50 thf(c_0_355, negated_conjecture, ~((![X1044:$i, X1045:$i]:((![X1046:$i]:(((in @ X1046 @ X1044)<=>(in @ X1046 @ X1045)))=>((X1044)=(X1045))))=>(![X1047:$i]:(~(in @ X1047 @ emptyset))=>(![X1048:$i, X1049:$i, X1050:$i]:(((in @ X1050 @ (setadjoin @ X1048 @ X1049))<=>(((X1050)=(X1048))|(in @ X1050 @ X1049))))=>(![X1051:$i, X1052:$i]:(((in @ X1052 @ (powerset @ X1051))<=>![X1053:$i]:(((in @ X1053 @ X1052)=>(in @ X1053 @ X1051)))))=>(![X1054:$i, X1055:$i]:(((in @ X1055 @ (setunion @ X1054))<=>?[X1056:$i]:(((in @ X1055 @ X1056)&(in @ X1056 @ X1054)))))=>((in @ emptyset @ omega)=>(![X1057:$i]:(((in @ X1057 @ omega)=>(in @ (setadjoin @ X1057 @ X1057) @ omega)))=>(![X1058:$i]:((((in @ emptyset @ X1058)&![X1059:$i]:((((in @ X1059 @ omega)&(in @ X1059 @ X1058))=>(in @ (setadjoin @ X1059 @ X1059) @ X1058))))=>![X1060:$i]:(((in @ X1060 @ omega)=>(in @ X1060 @ X1058)))))=>(![X1061:$i > $i > $o, X1062:$i]:((![X1063:$i]:(((in @ X1063 @ X1062)=>(exu @ (X1061 @ X1063))))=>?[X1064:$i]:(![X1065:$i]:(((in @ X1065 @ X1064)<=>?[X1066:$i]:(((in @ X1066 @ X1062)&(X1061 @ X1066 @ X1065))))))))=>(![X1067:$i]:((?[X1068:$i]:((in @ X1068 @ X1067))=>?[X1069:$i]:(((in @ X1069 @ X1067)&~(?[X1070:$i]:(((in @ X1070 @ X1069)&(in @ X1070 @ X1067))))))))=>((epred1_0)=>(![X1090:$i > $o]:(((exu @ X1090)=>(X1090 @ (descr @ (^[Z0:$i]:(X1090 @ Z0))))))=>(![X1091:$i, X1092:$i > $o, X1093:$i]:(((in @ X1093 @ X1091)=>((X1092 @ X1093)=>(in @ X1093 @ (dsetconstr @ X1091 @ X1092)))))=>(![X1094:$i, X1095:$i > $o, X1096:$i]:(((in @ X1096 @ (dsetconstr @ X1094 @ X1095))=>(in @ X1096 @ X1094)))=>(![X1097:$i, X1098:$i > $o, X1099:$i]:(((in @ X1099 @ (dsetconstr @ X1097 @ X1098))=>(X1098 @ X1099)))=>(![X1100:$i > $o]:(((exu @ X1100)=>?[X1101:$i]:(((X1100 @ X1101)&![X1102:$i]:(((X1100 @ X1102)=>((X1101)=(X1102))))))))=>(![X1103:$o, X1104:$i]:(((in @ X1104 @ (prop2set @ ((X1103))))=>(X1103)))=>(![X1105:$i]:(((in @ X1105 @ emptyset)=>![X1106:$o]:((X1106))))=>(![X1107:$i]:(((in @ X1107 @ emptyset)=>~($true)))=>(![X1108:$i]:(~(in @ X1108 @ emptyset))=>(![X1109:$i > $o]:(((exu @ X1109)=>?[X1110:$i]:((X1109 @ X1110))))=>(![X1111:$i, X1112:$i]:((![X1113:$i]:(((in @ X1113 @ X1111)=>(in @ X1113 @ X1112)))=>(![X1114:$i]:(((in @ X1114 @ X1112)=>(in @ X1114 @ X1111)))=>((X1111)=(X1112)))))=>(![X1115:$i]:((![X1116:$i]:(~(in @ X1116 @ X1115))=>((X1115)=(emptyset))))=>(![X1117:$i]:((![X1118:$i]:(~(in @ X1118 @ X1117))=>((X1117)=(emptyset))))=>(![X1119:$i, X1120:$i > $o, X1121:$i]:(((in @ X1121 @ X1119)=>((in @ X1121 @ (dsetconstr @ X1119 @ X1120))<=>(X1120 @ X1121))))=>(![X1122:$i]:(((nonempty @ X1122)=>?[X1123:$i]:((in @ X1123 @ X1122))))=>(![X1124:$i, X1125:$i > $o, X1126:$i]:(((in @ X1126 @ X1124)=>((X1125 @ X1126)=>(nonempty @ (dsetconstr @ X1124 @ X1125)))))=>(![X1127:$i]:((?[X1128:$i]:((in @ X1128 @ X1127))=>(nonempty @ X1127)))=>(![X1129:$i, X1130:$i]:((in @ X1129 @ (setadjoin @ X1129 @ X1130)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1131:$i, X1132:$i, X1133:$i]:(((in @ X1133 @ X1132)=>(in @ X1133 @ (setadjoin @ X1131 @ X1132))))=>(![X1134:$i, X1135:$i, X1136:$i]:(((in @ X1136 @ (setadjoin @ X1134 @ X1135))=>![X1137:$o]:(((((X1136)=(X1134))=>(X1137))=>(((in @ X1136 @ X1135)=>(X1137))=>(X1137))))))=>(![X1138:$i, X1139:$i, X1140:$i]:(((in @ X1140 @ (setadjoin @ X1138 @ X1139))=>(((X1140)=(X1138))|(in @ X1140 @ X1139))))=>(![X1141:$i]:(((dsetconstr @ X1141 @ (^[Z0:$i]:($true)))=(X1141)))=>(![X1142:$i, X1143:$i]:((![X1144:$i]:(((in @ X1144 @ X1143)=>(in @ X1144 @ X1142)))=>(in @ X1143 @ (powerset @ X1142))))=>(![X1145:$i]:((in @ emptyset @ (powerset @ X1145)))=>(![X1146:$i]:((in @ emptyset @ (powerset @ X1146)))=>(![X1147:$i, X1148:$i, X1149:$i]:(((in @ X1148 @ (powerset @ X1147))=>((in @ X1149 @ X1148)=>(in @ X1149 @ X1147))))=>(![X1150:$i, X1151:$i, X1152:$i]:(((in @ X1151 @ X1152)=>((in @ X1152 @ X1150)=>(in @ X1151 @ (setunion @ X1150)))))=>(![X1153:$i, X1154:$i]:(((in @ X1154 @ (setunion @ X1153))=>![X1155:$o]:((![X1156:$i]:(((in @ X1154 @ X1156)=>((in @ X1156 @ X1153)=>(X1155))))=>(X1155)))))=>(![X1157:$i, X1158:$i]:(((in @ X1158 @ X1157)=>(in @ X1158 @ (powerset @ (setunion @ X1157)))))=>(![X1159:$i > $o]:(((exu @ X1159)=>?[X1160:$i]:(![X1161:$i]:(((X1159 @ X1161)<=>((X1161)=(X1160)))))))=>(![X1162:$i]:(((nonempty @ X1162)=>?[X1163:$i]:(((in @ X1163 @ X1162)&$true))))=>(![X1164:$i, X1165:$i]:(((in @ X1164 @ (setadjoin @ X1165 @ emptyset))=>((X1164)=(X1165))))=>(![X1166:$i, X1167:$i]:((((X1166)!=(X1167))=>~(in @ X1167 @ (setadjoin @ X1166 @ emptyset))))=>(![X1168:$i, X1169:$i]:((((X1168)=(X1169))=>(in @ X1168 @ (setadjoin @ X1169 @ emptyset))))=>(![X1170:$i, X1171:$i]:(((in @ X1170 @ (setadjoin @ X1171 @ emptyset))=>(in @ X1171 @ (setadjoin @ X1170 @ emptyset))))=>(![X1172:$i, X1173:$i, X1174:$i]:(((in @ X1174 @ (setadjoin @ X1172 @ (setadjoin @ X1173 @ emptyset)))=>(((X1174)=(X1172))|((X1174)=(X1173)))))=>(![X1175:$i, X1176:$i]:((in @ X1175 @ (setadjoin @ X1175 @ (setadjoin @ X1176 @ emptyset))))=>(![X1177:$i, X1178:$i]:((in @ X1178 @ (setadjoin @ X1177 @ (setadjoin @ X1178 @ emptyset))))=>(![X1179:$i, X1180:$i > $o]:((?[X1181:$i]:(((in @ X1181 @ X1179)&(X1180 @ X1181)))=>(((dsetconstr @ X1179 @ X1180)=(emptyset))=>~($true))))=>(![X1182:$i > $o, X1183:$i]:(((in @ X1183 @ emptyset)=>(X1182 @ X1183)))=>(![X1184:$i, X1185:$i > $o]:((~(![X1186:$i]:(((in @ X1186 @ X1184)=>(X1185 @ X1186))))=>?[X1187:$i]:(((in @ X1187 @ X1184)&~((X1185 @ X1187))))))=>(![X1188:$i, X1189:$i > $o]:((![X1190:$i]:(((in @ X1190 @ X1188)=>~((X1189 @ X1190))))=>~(?[X1191:$i]:(((in @ X1191 @ X1188)&(X1189 @ X1191))))))=>(![X1192:$i, X1193:$i > $o]:((~(?[X1194:$i]:(((in @ X1194 @ X1192)&(X1193 @ X1194))))=>![X1195:$i]:(((in @ X1195 @ X1192)=>~((X1193 @ X1195))))))=>(![X1196:$i, X1197:$i > $o]:((?[X1198:$i]:(((in @ X1198 @ X1196)&~((X1197 @ X1198))))=>~(![X1199:$i]:(((in @ X1199 @ X1196)=>(X1197 @ X1199))))))=>(![X1200:$o]:(((X1200)=>(in @ emptyset @ (prop2set @ ((X1200))))))=>((prop2set2propI)=>(![X1201:$i, X1202:$i > $o]:((~(?[X1203:$i]:(((in @ X1203 @ X1201)&(X1202 @ X1203))))=>![X1204:$i]:(((in @ X1204 @ X1201)=>~((X1202 @ X1204))))))=>(![X1205:$i, X1206:$i > $o]:((~(![X1207:$i]:(((in @ X1207 @ X1205)=>(X1206 @ X1207))))=>?[X1208:$i]:(((in @ X1208 @ X1205)&~((X1206 @ X1208))))))=>(![X1209:$i > $o]:((?[X1210:$i]:(((X1209 @ X1210)&![X1211:$i]:(((X1209 @ X1211)=>((X1210)=(X1211))))))=>(exu @ X1209)))=>(![X1212:$i > $o]:((?[X1213:$i]:((X1212 @ X1213))=>(![X1214:$i, X1215:$i]:(((X1212 @ X1214)=>((X1212 @ X1215)=>((X1214)=(X1215)))))=>(exu @ X1212))))=>(![X1216:$i > $o]:((?[X1217:$i]:(![X1218:$i]:(((X1216 @ X1218)<=>((X1218)=(X1217)))))=>(exu @ X1216)))=>(![X1219:$i, X1220:$i]:((((X1219)=(X1220))=>![X1221:$i, X1222:$i]:((((X1221)=(X1222))=>((in @ X1221 @ X1219)=>(in @ X1222 @ X1220))))))=>(![X1223:$i, X1224:$i]:((((X1223)=(X1224))=>![X1225:$i, X1226:$i]:((((X1225)=(X1226))=>((in @ X1225 @ X1223)<=>(in @ X1226 @ X1224))))))=>(![X1227:$i > $o]:(((exu @ X1227)=>![X1228:$i, X1229:$i]:(((X1227 @ X1228)=>((X1227 @ X1229)=>((X1228)=(X1229)))))))=>(![X1230:$i > $o, X1231:$i > $o]:((![X1232:$i, X1233:$i]:((((X1232)=(X1233))=>((X1230 @ X1232)<=>(X1231 @ X1233))))=>((exu @ X1230)<=>(exu @ X1231))))=>(((emptyset)=(emptyset))=>(![X1234:$i, X1235:$i]:((((X1234)=(X1235))=>![X1236:$i, X1237:$i]:((((X1236)=(X1237))=>((setadjoin @ X1234 @ X1236)=(setadjoin @ X1235 @ X1237))))))=>(![X1238:$i, X1239:$i]:((((X1238)=(X1239))=>((powerset @ X1238)=(powerset @ X1239))))=>(![X1240:$i, X1241:$i]:((((X1240)=(X1241))=>((setunion @ X1240)=(setunion @ X1241))))=>(((omega)=(omega))=>(![X1242:$i > $o]:(((exu @ X1242)=>![X1243:$i, X1244:$i]:(((X1242 @ X1243)=>((X1242 @ X1244)=>((X1243)=(X1244)))))))=>(![X1245:$i > $o, X1246:$i > $o]:((![X1247:$i, X1248:$i]:((((X1247)=(X1248))=>((X1245 @ X1247)<=>(X1246 @ X1248))))=>((exu @ X1245)=>((exu @ X1246)=>((descr @ X1245)=(descr @ X1246))))))=>(![X1249:$i, X1250:$i]:((((X1249)=(X1250))=>![X1251:$i > $o, X1252:$i > $o]:((![X1253:$i]:(((in @ X1253 @ X1249)=>![X1254:$i]:(((in @ X1254 @ X1250)=>(((X1253)=(X1254))=>((X1251 @ X1253)<=>(X1252 @ X1254)))))))=>((dsetconstr @ X1249 @ X1251)=(dsetconstr @ X1250 @ X1252))))))=>(![X1255:$i, X1256:$i]:((![X1257:$i]:(((in @ X1257 @ X1255)=>(in @ X1257 @ X1256)))=>(subset @ X1255 @ X1256)))=>(![X1258:$i, X1259:$i]:((((X1258)=(X1259))=>(subset @ X1259 @ X1258)))=>(![X1260:$i, X1261:$i]:((((X1260)=(X1261))=>(subset @ X1260 @ X1261)))=>(![X1262:$i, X1263:$i]:((![X1264:$i]:(((in @ X1264 @ X1262)=>(in @ X1264 @ X1263)))=>(subset @ X1262 @ X1263)))=>(![X1265:$i]:((subset @ emptyset @ X1265))=>(![X1266:$i, X1267:$i, X1268:$i]:(((subset @ X1266 @ X1267)=>((in @ X1268 @ X1266)=>(in @ X1268 @ X1267))))=>(![X1269:$i, X1270:$i, X1271:$i]:(((subset @ X1269 @ X1270)=>(~(in @ X1271 @ X1270)=>~(in @ X1271 @ X1269))))=>(![X1272:$i, X1273:$i, X1274:$i]:(((in @ X1274 @ X1272)=>(~(in @ X1274 @ X1273)=>~(subset @ X1272 @ X1273))))=>(![X1275:$i, X1276:$i]:((~(subset @ X1275 @ X1276)=>((X1275)!=(X1276))))=>(![X1277:$i, X1278:$i, X1279:$i]:(((in @ X1279 @ X1277)=>(~(in @ X1279 @ X1278)=>((X1277)!=(X1278)))))=>(![X1280:$i]:((subset @ X1280 @ X1280))=>(![X1281:$i, X1282:$i, X1283:$i]:(((subset @ X1281 @ X1282)=>((subset @ X1282 @ X1283)=>(subset @ X1281 @ X1283))))=>(![X1284:$i, X1285:$i]:((subset @ X1285 @ (setadjoin @ X1284 @ X1285)))=>(![X1286:$i, X1287:$i, X1288:$i]:(((subset @ X1286 @ X1288)=>(subset @ X1286 @ (setadjoin @ X1287 @ X1288))))=>(![X1289:$i, X1290:$i]:(((subset @ X1289 @ X1290)=>(in @ X1289 @ (powerset @ X1290))))=>(![X1291:$i, X1292:$i]:(((subset @ X1291 @ X1292)=>((subset @ X1292 @ X1291)=>((X1291)=(X1292)))))=>(![X1293:$i]:(((subset @ X1293 @ emptyset)=>((X1293)=(emptyset))))=>(![X1294:$i, X1295:$i]:(((subset @ X1295 @ X1294)=>(in @ X1295 @ (powerset @ X1294))))=>(![X1296:$i, X1297:$i]:(((in @ X1297 @ (powerset @ X1296))=>(subset @ X1297 @ X1296)))=>(![X1298:$i]:((in @ X1298 @ (powerset @ X1298)))=>(![X1299:$i, X1300:$i]:(((subset @ X1299 @ X1300)=>(subset @ (powerset @ X1299) @ (powerset @ X1300))))=>(![X1301:$i, X1302:$i > $o]:((in @ (dsetconstr @ X1301 @ X1302) @ (powerset @ X1301)))=>(![X1303:$i, X1304:$i > $o]:((subset @ (dsetconstr @ X1303 @ X1304) @ X1303))=>(![X1305:$i, X1306:$i, X1307:$i]:(((in @ X1307 @ X1305)=>(in @ X1307 @ (binunion @ X1305 @ X1306))))=>(![X1308:$i, X1309:$i]:((in @ X1309 @ (setadjoin @ X1308 @ (setadjoin @ X1309 @ emptyset))))=>(![X1310:$i, X1311:$i, X1312:$i]:(((in @ X1312 @ X1311)=>(in @ X1312 @ (binunion @ X1310 @ X1311))))=>(![X1313:$i, X1314:$i, X1315:$i, X1316:$o]:(((in @ X1315 @ (binunion @ X1313 @ X1314))=>(((in @ X1315 @ X1313)=>(X1316))=>(((in @ X1315 @ X1314)=>(X1316))=>(X1316)))))=>(![X1317:$i, X1318:$i, X1319:$i]:(((in @ X1319 @ (binunion @ X1317 @ X1318))=>((in @ X1319 @ X1317)|(in @ X1319 @ X1318))))=>(![X1320:$i, X1321:$i]:((subset @ X1320 @ (binunion @ X1320 @ X1321)))=>(![X1322:$i, X1323:$i]:((subset @ X1323 @ (binunion @ X1322 @ X1323)))=>(![X1324:$i, X1325:$i, X1326:$i]:(((in @ X1326 @ X1324)=>((in @ X1326 @ X1325)=>(in @ X1326 @ (binintersect @ X1324 @ X1325)))))=>(![X1327:$i, X1328:$i, X1329:$i]:(((subset @ X1329 @ X1327)=>((subset @ X1329 @ X1328)=>(subset @ X1329 @ (binintersect @ X1327 @ X1328)))))=>(![X1330:$i, X1331:$i, X1332:$i]:(((in @ X1332 @ (binintersect @ X1330 @ X1331))=>(in @ X1332 @ X1330)))=>(![X1333:$i, X1334:$i]:((subset @ (binintersect @ X1333 @ X1334) @ X1333))=>(![X1335:$i, X1336:$i]:(((subset @ X1335 @ X1336)=>((binintersect @ X1335 @ X1336)=(X1335))))=>(![X1337:$i, X1338:$i]:((((binintersect @ X1337 @ X1338)=(X1338))=>(subset @ X1338 @ X1337)))=>(![X1339:$i, X1340:$i, X1341:$i]:(((in @ X1341 @ (binintersect @ X1339 @ X1340))=>(in @ X1341 @ X1340)))=>(![X1342:$i, X1343:$i]:((~(?[X1344:$i]:(((in @ X1344 @ X1342)&(in @ X1344 @ X1343))))=>((binintersect @ X1342 @ X1343)=(emptyset))))=>(![X1345:$i, X1346:$i]:((subset @ (binintersect @ X1345 @ X1346) @ X1346))=>(![X1347:$i, X1348:$i]:(((subset @ X1348 @ X1347)=>((binintersect @ X1347 @ X1348)=(X1348))))=>(![X1349:$i, X1350:$i]:((((binintersect @ X1349 @ X1350)=(X1349))=>(subset @ X1349 @ X1350)))=>(![X1351:$i, X1352:$i, X1353:$i]:(((binintersect @ X1351 @ (binunion @ X1352 @ X1353))=(binunion @ (binintersect @ X1351 @ X1352) @ (binintersect @ X1351 @ X1353))))=>(![X1354:$i, X1355:$i, X1356:$i]:(((in @ X1356 @ X1354)=>(~(in @ X1356 @ X1355)=>(in @ X1356 @ (setminus @ X1354 @ X1355)))))=>(![X1357:$i, X1358:$i, X1359:$i]:(((in @ X1359 @ (setminus @ X1357 @ X1358))=>(in @ X1359 @ X1357)))=>(![X1360:$i, X1361:$i, X1362:$i]:(((in @ X1362 @ (setminus @ X1360 @ X1361))=>~(in @ X1362 @ X1361)))=>(![X1363:$i, X1364:$i]:(((subset @ X1363 @ X1364)=>((setminus @ X1363 @ X1364)=(emptyset))))=>(![X1365:$i, X1366:$i, X1367:$i]:((~(in @ X1367 @ (setminus @ X1365 @ X1366))=>((in @ X1367 @ X1365)=>(in @ X1367 @ X1366))))=>(![X1368:$i, X1369:$i, X1370:$i]:((~(in @ X1370 @ (setminus @ X1368 @ X1369))=>(~(in @ X1370 @ X1369)=>~(in @ X1370 @ X1368))))=>(![X1371:$i, X1372:$i, X1373:$i]:((~(in @ X1373 @ X1371)=>~(in @ X1373 @ (setminus @ X1371 @ X1372))))=>(![X1374:$i, X1375:$i, X1376:$i]:(((in @ X1376 @ X1375)=>~(in @ X1376 @ (setminus @ X1374 @ X1375))))=>(![X1377:$i, X1378:$i]:((subset @ (setminus @ X1377 @ X1378) @ X1377))=>(![X1379:$i, X1380:$i]:((((setminus @ X1379 @ X1380)=(emptyset))=>(subset @ X1379 @ X1380)))=>(![X1381:$i, X1382:$i, X1383:$i]:(((in @ X1383 @ (symdiff @ X1381 @ X1382))=>![X1384:$o]:((((in @ X1383 @ X1381)=>(~(in @ X1383 @ X1382)=>(X1384)))=>((~(in @ X1383 @ X1381)=>((in @ X1383 @ X1382)=>(X1384)))=>(X1384))))))=>(![X1385:$i, X1386:$i, X1387:$i]:(((in @ X1387 @ X1385)=>(~(in @ X1387 @ X1386)=>(in @ X1387 @ (symdiff @ X1385 @ X1386)))))=>(![X1388:$i, X1389:$i, X1390:$i]:((~(in @ X1390 @ X1388)=>((in @ X1390 @ X1389)=>(in @ X1390 @ (symdiff @ X1388 @ X1389)))))=>(![X1391:$i, X1392:$i, X1393:$i]:(((in @ X1393 @ X1391)=>((in @ X1393 @ X1392)=>~(in @ X1393 @ (symdiff @ X1391 @ X1392)))))=>(![X1394:$i, X1395:$i, X1396:$i]:((~(in @ X1396 @ X1394)=>(~(in @ X1396 @ X1395)=>~(in @ X1396 @ (symdiff @ X1394 @ X1395)))))=>(![X1397:$i, X1398:$i]:((in @ X1398 @ (setadjoin @ X1397 @ (setadjoin @ X1398 @ emptyset))))=>(![X1399:$i, X1400:$i]:((in @ X1399 @ (setunion @ (setadjoin @ (setadjoin @ X1399 @ emptyset) @ (setadjoin @ (setadjoin @ X1399 @ (setadjoin @ X1400 @ emptyset)) @ emptyset)))))=>(![X1401:$i, X1402:$i]:((in @ X1402 @ (setunion @ (setadjoin @ (setadjoin @ X1401 @ emptyset) @ (setadjoin @ (setadjoin @ X1401 @ (setadjoin @ X1402 @ emptyset)) @ emptyset)))))=>(![X1403:$i, X1404:$i]:((iskpair @ (setadjoin @ (setadjoin @ X1403 @ emptyset) @ (setadjoin @ (setadjoin @ X1403 @ (setadjoin @ X1404 @ emptyset)) @ emptyset))))=>(![X1405:$i, X1406:$i]:((iskpair @ (kpair @ X1405 @ X1406)))=>(![X1407:$i, X1408:$i]:(((in @ X1408 @ X1407)=>(subset @ (setadjoin @ X1408 @ emptyset) @ X1407)))=>(![X1409:$i, X1410:$i]:(((in @ X1410 @ X1409)=>(in @ (setadjoin @ X1410 @ emptyset) @ (powerset @ X1409))))=>(![X1411:$i, X1412:$i, X1413:$i]:(((in @ X1413 @ X1411)=>(in @ (setadjoin @ X1413 @ emptyset) @ (powerset @ (binunion @ X1411 @ X1412)))))=>(![X1414:$i, X1415:$i, X1416:$i]:(((in @ X1416 @ (setadjoin @ X1414 @ (setadjoin @ X1415 @ emptyset)))=>(((X1416)=(X1414))|((X1416)=(X1415)))))=>(![X1417:$i, X1418:$i, X1419:$i]:(((in @ X1419 @ X1417)=>![X1420:$i]:(((in @ X1420 @ X1418)=>(subset @ (setadjoin @ X1419 @ (setadjoin @ X1420 @ emptyset)) @ (binunion @ X1417 @ X1418))))))=>(![X1421:$i, X1422:$i, X1423:$i]:(((in @ X1423 @ X1421)=>![X1424:$i]:(((in @ X1424 @ X1422)=>(in @ (setadjoin @ X1423 @ (setadjoin @ X1424 @ emptyset)) @ (powerset @ (binunion @ X1421 @ X1422)))))))=>(![X1425:$i, X1426:$i, X1427:$i]:(((in @ X1427 @ X1425)=>![X1428:$i]:(((in @ X1428 @ X1426)=>(subset @ (setadjoin @ (setadjoin @ X1427 @ emptyset) @ (setadjoin @ (setadjoin @ X1427 @ (setadjoin @ X1428 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1425 @ X1426)))))))=>(![X1429:$i, X1430:$i, X1431:$i]:(((in @ X1431 @ X1429)=>![X1432:$i]:(((in @ X1432 @ X1430)=>(in @ (setadjoin @ (setadjoin @ X1431 @ emptyset) @ (setadjoin @ (setadjoin @ X1431 @ (setadjoin @ X1432 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1429 @ X1430))))))))=>(![X1433:$i, X1434:$i, X1435:$i]:(((in @ X1435 @ X1433)=>![X1436:$i]:(((in @ X1436 @ X1434)=>(in @ (kpair @ X1435 @ X1436) @ (powerset @ (powerset @ (binunion @ X1433 @ X1434))))))))=>(![X1437:$i, X1438:$i, X1439:$i]:(((in @ X1439 @ X1437)=>![X1440:$i]:(((in @ X1440 @ X1438)=>(in @ (kpair @ X1439 @ X1440) @ (cartprod @ X1437 @ X1438))))))=>(![X1441:$i, X1442:$i, X1443:$i]:(((in @ X1443 @ (cartprod @ X1441 @ X1442))=>?[X1444:$i]:(((in @ X1444 @ X1441)&?[X1445:$i]:(((in @ X1445 @ X1442)&((X1443)=(kpair @ X1444 @ X1445))))))))=>(![X1446:$i, X1447:$i, X1448:$i]:(((in @ X1448 @ (cartprod @ X1446 @ X1447))=>(iskpair @ X1448)))=>(![X1449:$i, X1450:$i]:(((in @ X1450 @ (setunion @ X1449))=>?[X1451:$i]:(((in @ X1451 @ X1449)&(in @ X1450 @ X1451)))))=>(![X1452:$i]:((subset @ (setunion @ (setadjoin @ X1452 @ emptyset)) @ X1452))=>(![X1453:$i]:((subset @ X1453 @ (setunion @ (setadjoin @ X1453 @ emptyset))))=>(![X1454:$i]:(((setunion @ (setadjoin @ X1454 @ emptyset))=(X1454)))=>(![X1455:$i, X1456:$i > $o]:((![X1457:$i]:(((in @ X1457 @ X1455)=>![X1458:$i]:(((in @ X1458 @ X1455)=>((X1456 @ X1457)=>((X1456 @ X1458)=>((X1457)=(X1458))))))))=>(?[X1459:$i]:(((in @ X1459 @ X1455)&(X1456 @ X1459)))=>(singleton @ (dsetconstr @ X1455 @ X1456)))))=>(![X1460:$i, X1461:$i > $o]:(((ex1 @ X1460 @ X1461)=>?[X1462:$i]:(((in @ X1462 @ X1460)&(X1461 @ X1462)))))=>(![X1463:$i, X1464:$i > $o, X1465:$i]:(((in @ X1465 @ X1463)=>((X1464 @ X1465)=>(![X1466:$i]:(((in @ X1466 @ X1463)=>((X1464 @ X1466)=>((X1466)=(X1465)))))=>(ex1 @ X1463 @ X1464)))))=>(![X1467:$i, X1468:$i > $o]:((![X1469:$i]:(((in @ X1469 @ X1467)=>![X1470:$i]:(((in @ X1470 @ X1467)=>((X1468 @ X1469)=>((X1468 @ X1470)=>((X1469)=(X1470))))))))=>(?[X1471:$i]:(((in @ X1471 @ X1467)&(X1468 @ X1471)))=>(ex1 @ X1467 @ X1468))))=>(![X1472:$i, X1473:$i]:((((setadjoin @ X1472 @ emptyset)=(setadjoin @ X1473 @ emptyset))=>((X1472)=(X1473))))=>(![X1474:$i, X1475:$i, X1476:$i]:(((in @ (setadjoin @ X1476 @ emptyset) @ (setadjoin @ (setadjoin @ X1474 @ emptyset) @ (setadjoin @ (setadjoin @ X1474 @ (setadjoin @ X1475 @ emptyset)) @ emptyset)))=>((X1474)=(X1476))))=>(![X1477:$i]:(((iskpair @ X1477)=>(singleton @ (dsetconstr @ (setunion @ X1477) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1477)))))))=>(![X1478:$i]:(((singleton @ X1478)=>(in @ (setunion @ X1478) @ X1478)))=>(![X1479:$i, X1480:$i]:(((kfst @ (kpair @ X1479 @ X1480))=(X1479)))=>(![X1481:$i, X1482:$i, X1483:$i]:(((in @ X1483 @ (cartprod @ X1481 @ X1482))=>(in @ (kfst @ X1483) @ X1481)))=>(![X1484:$i, X1485:$i, X1486:$i, X1487:$i]:((((setadjoin @ (setadjoin @ X1484 @ emptyset) @ (setadjoin @ (setadjoin @ X1484 @ (setadjoin @ X1485 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1486 @ emptyset) @ (setadjoin @ (setadjoin @ X1486 @ (setadjoin @ X1487 @ emptyset)) @ emptyset)))=>((X1484)=(X1486))))=>(![X1488:$i, X1489:$i, X1490:$i, X1491:$i]:((((kpair @ X1488 @ X1489)=(kpair @ X1490 @ X1491))=>((X1488)=(X1490))))=>(![X1492:$i, X1493:$i]:((((X1492)=(X1493))=>((setadjoin @ X1492 @ (setadjoin @ X1493 @ emptyset))=(setadjoin @ X1492 @ emptyset))))=>(![X1494:$i, X1495:$i]:((((X1494)=(X1495))=>((setadjoin @ (setadjoin @ X1494 @ emptyset) @ (setadjoin @ (setadjoin @ X1494 @ (setadjoin @ X1495 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1494 @ emptyset) @ emptyset))))=>(![X1496:$i, X1497:$i, X1498:$i, X1499:$i]:((((setadjoin @ (setadjoin @ X1496 @ emptyset) @ (setadjoin @ (setadjoin @ X1496 @ (setadjoin @ X1497 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1498 @ emptyset) @ (setadjoin @ (setadjoin @ X1498 @ (setadjoin @ X1499 @ emptyset)) @ emptyset)))=>(((X1498)=(X1499))=>((X1497)=(X1499)))))=>(![X1500:$i, X1501:$i, X1502:$i]:((((setadjoin @ X1500 @ (setadjoin @ X1501 @ emptyset))=(setadjoin @ X1502 @ emptyset))=>((X1500)=(X1501))))=>(![X1503:$i, X1504:$i, X1505:$i, X1506:$i]:((((setadjoin @ (setadjoin @ X1503 @ emptyset) @ (setadjoin @ (setadjoin @ X1503 @ (setadjoin @ X1504 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1505 @ emptyset) @ (setadjoin @ (setadjoin @ X1505 @ (setadjoin @ X1506 @ emptyset)) @ emptyset)))=>((X1504)=(X1506))))=>(![X1507:$i, X1508:$i, X1509:$i, X1510:$i]:((((kpair @ X1507 @ X1508)=(kpair @ X1509 @ X1510))=>((X1508)=(X1510))))=>(![X1511:$i]:(((iskpair @ X1511)=>(singleton @ (dsetconstr @ (setunion @ X1511) @ (^[Z0:$i]:(((X1511)=(kpair @ (kfst @ X1511) @ Z0))))))))=>(![X1512:$i, X1513:$i]:(((ksnd @ (kpair @ X1512 @ X1513))=(X1513)))=>(![X1514:$i]:(((iskpair @ X1514)=>((kpair @ (kfst @ X1514) @ (ksnd @ X1514))=(X1514))))=>(![X1515:$i, X1516:$i, X1517:$i]:(((in @ X1517 @ (cartprod @ X1515 @ X1516))=>(in @ (ksnd @ X1517) @ X1516)))=>(![X1518:$i, X1519:$i, X1520:$i, X1521:$i]:(((in @ (kpair @ X1520 @ X1521) @ (cartprod @ X1518 @ X1519))=>(in @ X1520 @ X1518)))=>(![X1522:$i, X1523:$i, X1524:$i, X1525:$i]:(((in @ (kpair @ X1524 @ X1525) @ (cartprod @ X1522 @ X1523))=>(in @ X1525 @ X1523)))=>(![X1526:$i, X1527:$i, X1528:$i]:(((in @ X1528 @ X1526)=>![X1529:$i]:(((in @ X1529 @ X1527)=>((kpair @ X1528 @ X1529)=(kpair @ X1528 @ X1529))))))=>(![X1530:$i, X1531:$i, X1532:$i]:(((in @ X1532 @ X1530)=>![X1533:$i]:(((in @ X1533 @ X1531)=>((kfst @ (kpair @ X1532 @ X1533))=(X1532))))))=>(![X1534:$i, X1535:$i, X1536:$i]:(((in @ X1536 @ X1534)=>![X1537:$i]:(((in @ X1537 @ X1535)=>((ksnd @ (kpair @ X1536 @ X1537))=(X1537))))))=>(![X1538:$i, X1539:$i, X1540:$i]:(((in @ X1540 @ (cartprod @ X1538 @ X1539))=>((kpair @ (kfst @ X1540) @ (ksnd @ X1540))=(X1540))))=>(![X1541:$i, X1542:$i, X1543:$i > $i > $o, X1544:$i]:(((in @ X1544 @ X1541)=>![X1545:$i]:(((in @ X1545 @ X1542)=>((X1543 @ X1544 @ X1545)=>(in @ (kpair @ X1544 @ X1545) @ (dpsetconstr @ X1541 @ X1542 @ X1543)))))))=>(![X1546:$i, X1547:$i, X1548:$i > $i > $o]:((subset @ (dpsetconstr @ X1546 @ X1547 @ X1548) @ (cartprod @ X1546 @ X1547)))=>(![X1549:$i, X1550:$i, X1551:$i > $i > $o]:((breln @ X1549 @ X1550 @ (dpsetconstr @ X1549 @ X1550 @ X1551)))=>(![X1552:$i, X1553:$i, X1554:$i > $i > $o, X1555:$i]:(((in @ X1555 @ X1552)=>![X1556:$i]:(((in @ X1556 @ X1553)=>((in @ (kpair @ X1555 @ X1556) @ (dpsetconstr @ X1552 @ X1553 @ X1554))=>(X1554 @ X1555 @ X1556))))))=>(![X1557:$i, X1558:$i, X1559:$i > $i > $o, X1560:$i, X1561:$i]:(((in @ (kpair @ X1560 @ X1561) @ (dpsetconstr @ X1557 @ X1558 @ X1559))=>(in @ X1560 @ X1557)))=>(![X1562:$i, X1563:$i, X1564:$i > $i > $o, X1565:$i, X1566:$i]:(((in @ (kpair @ X1565 @ X1566) @ (dpsetconstr @ X1562 @ X1563 @ X1564))=>(in @ X1566 @ X1563)))=>(![X1567:$i, X1568:$i, X1569:$i > $i > $o, X1570:$i, X1571:$i]:(((in @ (kpair @ X1570 @ X1571) @ (dpsetconstr @ X1567 @ X1568 @ X1569))=>(X1569 @ X1570 @ X1571)))=>(![X1572:$i, X1573:$i, X1574:$i]:(((func @ X1572 @ X1573 @ X1574)=>![X1575:$i]:(((in @ X1575 @ X1572)=>(singleton @ (dsetconstr @ X1573 @ (^[Z0:$i]:((in @ (kpair @ X1575 @ Z0) @ X1574)))))))))=>(![X1576:$i, X1577:$i, X1578:$i]:(((func @ X1576 @ X1577 @ X1578)=>![X1579:$i]:(((in @ X1579 @ X1576)=>(in @ (setunion @ (dsetconstr @ X1577 @ (^[Z0:$i]:((in @ (kpair @ X1579 @ Z0) @ X1578))))) @ X1577)))))=>(![X1580:$i, X1581:$i, X1582:$i]:(((func @ X1580 @ X1581 @ X1582)=>![X1583:$i]:(((in @ X1583 @ X1580)=>(in @ (ap @ X1580 @ X1581 @ X1582 @ X1583) @ X1581)))))=>(![X1584:$i, X1585:$i, X1586:$i]:(((in @ X1586 @ (funcSet @ X1584 @ X1585))=>(func @ X1584 @ X1585 @ X1586)))=>(![X1587:$i, X1588:$i, X1589:$i]:(((in @ X1589 @ (funcSet @ X1587 @ X1588))=>![X1590:$i]:(((in @ X1590 @ X1587)=>(in @ (ap @ X1587 @ X1588 @ X1589 @ X1590) @ X1588)))))=>(![X1591:$i, X1592:$i, X1593:$i]:(((func @ X1591 @ X1592 @ X1593)=>(in @ X1593 @ (funcSet @ X1591 @ X1592))))=>(![X1594:$i, X1595:$i, X1596:$i > $i]:((![X1597:$i]:(((in @ X1597 @ X1594)=>(in @ (X1596 @ X1597) @ X1595)))=>(func @ X1594 @ X1595 @ (dpsetconstr @ X1594 @ X1595 @ (^[Z0:$i]:($eq @ (X1596 @ Z0)))))))=>(![X1598:$i, X1599:$i, X1600:$i > $i]:((![X1601:$i]:(((in @ X1601 @ X1598)=>(in @ (X1600 @ X1601) @ X1599)))=>(func @ X1598 @ X1599 @ (lam @ X1598 @ X1599 @ X1600))))=>(![X1602:$i, X1603:$i, X1604:$i > $i]:((![X1605:$i]:(((in @ X1605 @ X1602)=>(in @ (X1604 @ X1605) @ X1603)))=>(in @ (lam @ X1602 @ X1603 @ X1604) @ (funcSet @ X1602 @ X1603))))=>(![X1606:$i, X1607:$i, X1608:$i]:(((breln @ X1606 @ X1607 @ X1608)=>![X1609:$i > $o]:((![X1610:$i]:(((in @ X1610 @ X1606)=>![X1611:$i]:(((in @ X1611 @ X1607)=>((in @ (kpair @ X1610 @ X1611) @ X1608)=>(X1609 @ (kpair @ X1610 @ X1611)))))))=>![X1612:$i]:(((in @ X1612 @ X1608)=>(X1609 @ X1612)))))))=>(![X1613:$i, X1614:$i, X1615:$i]:(((breln @ X1613 @ X1614 @ X1615)=>![X1616:$i > $o]:((![X1617:$i]:(((in @ X1617 @ X1613)=>![X1618:$i]:(((in @ X1618 @ X1614)=>((in @ (kpair @ X1617 @ X1618) @ X1615)=>(X1616 @ (kpair @ X1617 @ X1618)))))))=>![X1619:$i]:(((in @ X1619 @ X1615)=>(X1616 @ X1619)))))))=>(![X1620:$i, X1621:$i > $o]:(((ex1 @ X1620 @ X1621)=>![X1622:$i]:(((in @ X1622 @ X1620)=>![X1623:$i]:(((in @ X1623 @ X1620)=>((X1621 @ X1622)=>((X1621 @ X1623)=>((X1622)=(X1623))))))))))=>(![X1624:$i, X1625:$i, X1626:$i]:(((func @ X1624 @ X1625 @ X1626)=>![X1627:$i]:(((in @ X1627 @ X1624)=>(in @ (kpair @ X1627 @ (ap @ X1624 @ X1625 @ X1626 @ X1627)) @ X1626)))))=>(![X1628:$i, X1629:$i, X1630:$i]:(((in @ X1630 @ (funcSet @ X1628 @ X1629))=>![X1631:$i]:(((in @ X1631 @ X1628)=>(in @ (kpair @ X1631 @ (ap @ X1628 @ X1629 @ X1630 @ X1631)) @ X1630)))))=>(![X1632:$i, X1633:$i, X1634:$i]:(((func @ X1632 @ X1633 @ X1634)=>![X1635:$i]:(((in @ X1635 @ X1632)=>![X1636:$i]:(((in @ X1636 @ X1633)=>((in @ (kpair @ X1635 @ X1636) @ X1634)=>((ap @ X1632 @ X1633 @ X1634 @ X1635)=(X1636)))))))))=>(![X1637:$i, X1638:$i, X1639:$i]:(((func @ X1637 @ X1638 @ X1639)=>![X1640:$i]:(((func @ X1637 @ X1638 @ X1640)=>(![X1641:$i]:(((in @ X1641 @ X1637)=>((ap @ X1637 @ X1638 @ X1639 @ X1641)=(ap @ X1637 @ X1638 @ X1640 @ X1641))))=>![X1642:$i]:(((in @ X1642 @ X1637)=>![X1643:$i]:(((in @ X1643 @ X1638)=>((in @ (kpair @ X1642 @ X1643) @ X1640)=>(in @ (kpair @ X1642 @ X1643) @ X1639)))))))))))=>(![X1644:$i, X1645:$i, X1646:$i]:(((in @ X1646 @ (funcSet @ X1644 @ X1645))=>![X1647:$i]:(((in @ X1647 @ X1644)=>![X1648:$i]:(((in @ X1648 @ X1645)=>((in @ (kpair @ X1647 @ X1648) @ X1646)=>((ap @ X1644 @ X1645 @ X1646 @ X1647)=(X1648)))))))))=>(![X1649:$i, X1650:$i, X1651:$i]:(((breln @ X1649 @ X1650 @ X1651)=>![X1652:$i]:(((breln @ X1649 @ X1650 @ X1652)=>(![X1653:$i]:(((in @ X1653 @ X1649)=>![X1654:$i]:(((in @ X1654 @ X1650)=>((in @ (kpair @ X1653 @ X1654) @ X1651)=>(in @ (kpair @ X1653 @ X1654) @ X1652))))))=>(subset @ X1651 @ X1652))))))=>(![X1655:$i, X1656:$i, X1657:$i]:(((breln @ X1655 @ X1656 @ X1657)=>![X1658:$i]:(((breln @ X1655 @ X1656 @ X1658)=>(![X1659:$i]:(((in @ X1659 @ X1655)=>![X1660:$i]:(((in @ X1660 @ X1656)=>((in @ (kpair @ X1659 @ X1660) @ X1657)=>(in @ (kpair @ X1659 @ X1660) @ X1658))))))=>(![X1661:$i]:(((in @ X1661 @ X1655)=>![X1662:$i]:(((in @ X1662 @ X1656)=>((in @ (kpair @ X1661 @ X1662) @ X1658)=>(in @ (kpair @ X1661 @ X1662) @ X1657))))))=>((X1657)=(X1658))))))))=>(![X1663:$i, X1664:$i, X1665:$i]:(((func @ X1663 @ X1664 @ X1665)=>![X1666:$i]:(((func @ X1663 @ X1664 @ X1666)=>(![X1667:$i]:(((in @ X1667 @ X1663)=>((ap @ X1663 @ X1664 @ X1665 @ X1667)=(ap @ X1663 @ X1664 @ X1666 @ X1667))))=>((X1665)=(X1666)))))))=>(![X1668:$i, X1669:$i, X1670:$i]:(((in @ X1670 @ (funcSet @ X1668 @ X1669))=>![X1671:$i]:(((in @ X1671 @ (funcSet @ X1668 @ X1669))=>(![X1672:$i]:(((in @ X1672 @ X1668)=>((ap @ X1668 @ X1669 @ X1670 @ X1672)=(ap @ X1668 @ X1669 @ X1671 @ X1672))))=>((X1670)=(X1671)))))))=>(![X1673:$i, X1674:$i, X1675:$i]:(((in @ X1675 @ (funcSet @ X1673 @ X1674))=>![X1676:$i]:(((in @ X1676 @ X1673)=>((ap @ X1673 @ X1674 @ X1675 @ X1676)=(ap @ X1673 @ X1674 @ X1675 @ X1676))))))=>(![X1677:$i, X1678:$i, X1679:$i]:(((func @ X1677 @ X1678 @ X1679)=>![X1680:$i]:(((in @ X1680 @ X1677)=>((ap @ X1677 @ X1678 @ X1679 @ X1680)=(ap @ X1677 @ X1678 @ X1679 @ X1680))))))=>(![X1681:$i, X1682:$i, X1683:$i > $i]:((![X1684:$i]:(((in @ X1684 @ X1681)=>(in @ (X1683 @ X1684) @ X1682)))=>![X1685:$i]:(((in @ X1685 @ X1681)=>((ap @ X1681 @ X1682 @ (lam @ X1681 @ X1682 @ X1683) @ X1685)=(X1683 @ X1685))))))=>(![X1686:$i, X1687:$i, X1688:$i]:(((func @ X1686 @ X1687 @ X1688)=>((lam @ X1686 @ X1687 @ (ap @ X1686 @ X1687 @ X1688))=(X1688))))=>(![X1689:$i, X1690:$i, X1691:$i > $i]:((![X1692:$i]:(((in @ X1692 @ X1689)=>(in @ (X1691 @ X1692) @ X1690)))=>((lam @ X1689 @ X1690 @ X1691)=(lam @ X1689 @ X1690 @ X1691))))=>(![X1693:$i, X1694:$i, X1695:$i > $i]:((![X1696:$i]:(((in @ X1696 @ X1693)=>(in @ (X1695 @ X1696) @ X1694)))=>![X1697:$i]:(((in @ X1697 @ X1693)=>((ap @ X1693 @ X1694 @ (lam @ X1693 @ X1694 @ X1695) @ X1697)=(X1695 @ X1697))))))=>(![X1698:$i, X1699:$i, X1700:$i]:(((in @ X1700 @ (funcSet @ X1698 @ X1699))=>((lam @ X1698 @ X1699 @ (ap @ X1698 @ X1699 @ X1700))=(X1700))))=>(![X1701:$i, X1702:$o, X1703:$i]:(((in @ X1703 @ X1701)=>![X1704:$i]:(((in @ X1704 @ X1701)=>(~(X1702)=>(in @ X1704 @ (dsetconstr @ X1701 @ (^[Z0:$i]:((((((X1702))&(((Z0)=(X1703)))))|(((~((X1702)))&(((Z0)=(X1704)))))))))))))))=>(![X1705:$i, X1706:$o, X1707:$i]:(((in @ X1707 @ X1705)=>![X1708:$i]:(((in @ X1708 @ X1705)=>(~(X1706)=>((dsetconstr @ X1705 @ (^[Z0:$i]:((((((X1706))&(((Z0)=(X1707)))))|(((~((X1706)))&(((Z0)=(X1708)))))))))=(setadjoin @ X1708 @ emptyset)))))))=>(![X1709:$i, X1710:$o, X1711:$i]:(((in @ X1711 @ X1709)=>![X1712:$i]:(((in @ X1712 @ X1709)=>((X1710)=>(in @ X1711 @ (dsetconstr @ X1709 @ (^[Z0:$i]:((((((X1710))&(((Z0)=(X1711)))))|(((~((X1710)))&(((Z0)=(X1712)))))))))))))))=>(![X1713:$i, X1714:$o, X1715:$i]:(((in @ X1715 @ X1713)=>![X1716:$i]:(((in @ X1716 @ X1713)=>((X1714)=>((dsetconstr @ X1713 @ (^[Z0:$i]:((((((X1714))&(((Z0)=(X1715)))))|(((~((X1714)))&(((Z0)=(X1716)))))))))=(setadjoin @ X1715 @ emptyset)))))))=>(![X1717:$i, X1718:$o, X1719:$i]:(((in @ X1719 @ X1717)=>![X1720:$i]:(((in @ X1720 @ X1717)=>(singleton @ (dsetconstr @ X1717 @ (^[Z0:$i]:((((((X1718))&(((Z0)=(X1719)))))|(((~((X1718)))&(((Z0)=(X1720))))))))))))))=>(![X1721:$i, X1722:$o, X1723:$i]:(((in @ X1723 @ X1721)=>![X1724:$i]:(((in @ X1724 @ X1721)=>(in @ (if @ X1721 @ ((X1722)) @ X1723 @ X1724) @ X1721)))))=>(![X1725:$i]:(((singleton @ X1725)=>![X1726:$i]:(((in @ X1726 @ X1725)=>((setunion @ X1725)=(X1726))))))=>(![X1727:$i, X1728:$o, X1729:$i]:(((in @ X1729 @ X1727)=>![X1730:$i]:(((in @ X1730 @ X1727)=>((X1728)=>((if @ X1727 @ ((X1728)) @ X1729 @ X1730)=(X1729)))))))=>(![X1731:$i, X1732:$o, X1733:$i]:(((in @ X1733 @ X1731)=>![X1734:$i]:(((in @ X1734 @ X1731)=>(~(X1732)=>((if @ X1731 @ ((X1732)) @ X1733 @ X1734)=(X1734)))))))=>(![X1735:$i, X1736:$o, X1737:$i]:(((in @ X1737 @ X1735)=>![X1738:$i]:(((in @ X1738 @ X1735)=>(in @ (if @ X1735 @ ((X1736)) @ X1737 @ X1738) @ (setadjoin @ X1737 @ (setadjoin @ X1738 @ emptyset)))))))=>(![X1739:$i, X1740:$i]:(((in @ X1740 @ (powerset @ X1739))=>![X1741:$i]:(((in @ X1741 @ (powerset @ X1739))=>(in @ (binintersect @ X1740 @ X1741) @ (powerset @ X1739))))))=>(![X1742:$i, X1743:$i]:(((in @ X1743 @ (powerset @ X1742))=>![X1744:$i]:(((in @ X1744 @ (powerset @ X1742))=>(in @ (binunion @ X1743 @ X1744) @ (powerset @ X1742))))))=>(![X1745:$i, X1746:$i]:(((in @ X1746 @ (powerset @ X1745))=>(in @ (powerset @ X1746) @ (powerset @ (powerset @ X1745)))))=>(![X1747:$i, X1748:$i]:(((in @ X1748 @ (powerset @ X1747))=>![X1749:$i]:(((in @ X1749 @ (powerset @ X1747))=>(in @ (setminus @ X1748 @ X1749) @ (powerset @ X1747))))))=>(![X1750:$i, X1751:$i]:(((in @ X1751 @ (powerset @ X1750))=>(in @ (setminus @ X1750 @ X1751) @ (powerset @ X1750))))=>(![X1752:$i, X1753:$i]:(((in @ X1753 @ (powerset @ X1752))=>![X1754:$i]:(((in @ X1754 @ (powerset @ X1752))=>(![X1755:$i]:(((in @ X1755 @ X1752)=>((in @ X1755 @ X1753)=>(in @ X1755 @ X1754))))=>(![X1756:$i]:(((in @ X1756 @ X1752)=>((in @ X1756 @ X1754)=>(in @ X1756 @ X1753))))=>((X1753)=(X1754))))))))=>(![X1757:$i, X1758:$i]:(((in @ X1758 @ (powerset @ X1757))=>![X1759:$i]:(((in @ X1759 @ (powerset @ X1757))=>(![X1760:$i]:(((in @ X1760 @ X1757)=>((in @ X1760 @ X1758)=>(in @ X1760 @ X1759))))=>(subset @ X1758 @ X1759))))))=>(![X1761:$i, X1762:$i]:(((in @ X1762 @ (powerset @ X1761))=>![X1763:$i]:(((in @ X1763 @ (powerset @ X1761))=>(![X1764:$i]:(((in @ X1764 @ X1761)=>((in @ X1764 @ X1762)=>(in @ X1764 @ X1763))))=>(in @ X1762 @ (powerset @ X1763)))))))=>(![X1765:$i, X1766:$i]:(((in @ X1766 @ (powerset @ X1765))=>![X1767:$i]:(((in @ X1767 @ (powerset @ X1765))=>![X1768:$i]:(((in @ X1768 @ X1765)=>((in @ X1766 @ (powerset @ X1767))=>((in @ X1768 @ X1766)=>(in @ X1768 @ X1767)))))))))=>(![X1769:$i, X1770:$i]:(((in @ X1770 @ (powerset @ X1769))=>![X1771:$i]:(((in @ X1771 @ X1769)=>((in @ X1771 @ X1770)=>~(in @ X1771 @ (setminus @ X1769 @ X1770)))))))=>(![X1772:$i, X1773:$i]:(((in @ X1773 @ (powerset @ X1772))=>![X1774:$i]:(((in @ X1774 @ X1772)=>(~(in @ X1774 @ (setminus @ X1772 @ X1773))=>(in @ X1774 @ X1773))))))=>(![X1775:$i, X1776:$i]:(((in @ X1776 @ (powerset @ X1775))=>![X1777:$i]:(((in @ X1777 @ (powerset @ X1775))=>![X1778:$i]:(((in @ X1778 @ X1775)=>(~(in @ X1778 @ X1776)=>~(in @ X1778 @ (binintersect @ X1776 @ X1777)))))))))=>(![X1779:$i, X1780:$i]:(((in @ X1780 @ (powerset @ X1779))=>![X1781:$i]:(((in @ X1781 @ (powerset @ X1779))=>![X1782:$i]:(((in @ X1782 @ X1779)=>(~(in @ X1782 @ X1781)=>~(in @ X1782 @ (binintersect @ X1780 @ X1781)))))))))=>(![X1783:$i, X1784:$i]:(((in @ X1784 @ (powerset @ X1783))=>![X1785:$i]:(((in @ X1785 @ (powerset @ X1783))=>![X1786:$i]:(((in @ X1786 @ X1783)=>((subset @ X1784 @ (setminus @ X1783 @ X1785))=>((in @ X1786 @ X1785)=>~(in @ X1786 @ X1784)))))))))=>(![X1787:$i, X1788:$i]:(((in @ X1788 @ (powerset @ X1787))=>![X1789:$i]:(((in @ X1789 @ (powerset @ X1787))=>![X1790:$i]:(((in @ X1790 @ X1787)=>((subset @ X1788 @ X1789)=>(~(in @ X1790 @ X1789)=>~(in @ X1790 @ X1788)))))))))=>(![X1791:$i, X1792:$i]:(((in @ X1792 @ (powerset @ X1791))=>![X1793:$i]:(((in @ X1793 @ (powerset @ X1791))=>((subset @ X1792 @ X1793)=>(subset @ (setminus @ X1791 @ X1793) @ (setminus @ X1791 @ X1792)))))))=>(![X1794:$i, X1795:$i]:(((in @ X1795 @ (powerset @ X1794))=>![X1796:$i]:(((in @ X1796 @ (powerset @ X1794))=>((subset @ (setminus @ X1794 @ X1796) @ (setminus @ X1794 @ X1795))=>(subset @ X1795 @ X1796))))))=>(![X1797:$i, X1798:$i]:(((in @ X1798 @ (powerset @ X1797))=>![X1799:$i]:(((in @ X1799 @ X1797)=>((in @ X1799 @ X1798)=>(in @ X1799 @ (setminus @ X1797 @ (setminus @ X1797 @ X1798))))))))=>(![X1800:$i, X1801:$i]:(((in @ X1801 @ (powerset @ X1800))=>![X1802:$i]:(((in @ X1802 @ X1800)=>((in @ X1802 @ (setminus @ X1800 @ (setminus @ X1800 @ X1801)))=>(in @ X1802 @ X1801))))))=>(![X1803:$i, X1804:$i]:(((in @ X1804 @ (powerset @ X1803))=>(subset @ X1804 @ (setminus @ X1803 @ (setminus @ X1803 @ X1804)))))=>(![X1805:$i, X1806:$i]:(((in @ X1806 @ (powerset @ X1805))=>(subset @ (setminus @ X1805 @ (setminus @ X1805 @ X1806)) @ X1806)))=>(![X1807:$i, X1808:$i]:(((in @ X1808 @ (powerset @ X1807))=>((X1808)=(setminus @ X1807 @ (setminus @ X1807 @ X1808)))))=>(![X1809:$i, X1810:$i]:(((in @ X1810 @ (powerset @ X1809))=>![X1811:$i]:(((in @ X1811 @ (powerset @ X1809))=>![X1812:$i]:(((in @ X1812 @ X1809)=>((in @ X1812 @ (setminus @ X1809 @ X1810))=>~(in @ X1812 @ (binintersect @ X1810 @ X1811)))))))))=>(![X1813:$i, X1814:$i]:(((in @ X1814 @ (powerset @ X1813))=>![X1815:$i]:(((in @ X1815 @ (powerset @ X1813))=>![X1816:$i]:(((in @ X1816 @ X1813)=>((in @ X1816 @ (setminus @ X1813 @ X1814))=>(in @ X1816 @ (setminus @ X1813 @ (binintersect @ X1814 @ X1815))))))))))=>(![X1817:$i, X1818:$i]:(((in @ X1818 @ (powerset @ X1817))=>![X1819:$i]:(((in @ X1819 @ (powerset @ X1817))=>(subset @ (setminus @ X1817 @ X1818) @ (setminus @ X1817 @ (binintersect @ X1818 @ X1819)))))))=>(![X1820:$i, X1821:$i]:(((in @ X1821 @ (powerset @ X1820))=>![X1822:$i]:(((in @ X1822 @ (powerset @ X1820))=>(in @ (setminus @ X1820 @ X1821) @ (powerset @ (setminus @ X1820 @ (binintersect @ X1821 @ X1822))))))))=>(![X1823:$i, X1824:$i]:(((in @ X1824 @ (powerset @ X1823))=>![X1825:$i]:(((in @ X1825 @ (powerset @ X1823))=>((subset @ X1824 @ (setminus @ X1823 @ X1825))=>![X1826:$i]:(((in @ X1826 @ X1823)=>((in @ X1826 @ X1825)=>(in @ X1826 @ (setminus @ X1823 @ X1824))))))))))=>(![X1827:$i, X1828:$i]:(((in @ X1828 @ (powerset @ X1827))=>![X1829:$i]:(((in @ X1829 @ (powerset @ X1827))=>((subset @ X1828 @ (setminus @ X1827 @ X1829))=>(subset @ X1829 @ (setminus @ X1827 @ X1828)))))))=>(![X1830:$i, X1831:$i]:(((in @ X1831 @ (powerset @ X1830))=>![X1832:$i]:(((in @ X1832 @ (powerset @ X1830))=>![X1833:$i]:(((in @ X1833 @ X1830)=>(~(in @ X1833 @ (binunion @ X1831 @ X1832))=>~(in @ X1833 @ X1831))))))))=>(![X1834:$i, X1835:$i]:(((in @ X1835 @ (powerset @ X1834))=>![X1836:$i]:(((in @ X1836 @ (powerset @ X1834))=>![X1837:$i]:(((in @ X1837 @ X1834)=>(~(in @ X1837 @ (binunion @ X1835 @ X1836))=>~(in @ X1837 @ X1836))))))))=>(![X1838:$i, X1839:$i]:(((in @ X1839 @ (powerset @ X1838))=>![X1840:$i]:(((in @ X1840 @ (powerset @ X1838))=>![X1841:$i]:(((in @ X1841 @ (powerset @ X1838))=>![X1842:$i]:(((in @ X1842 @ X1838)=>((in @ X1842 @ (binintersect @ X1839 @ X1840))=>(in @ X1842 @ (binunion @ X1839 @ X1841)))))))))))=>(![X1843:$i, X1844:$i]:(((in @ X1844 @ (powerset @ X1843))=>![X1845:$i]:(((in @ X1845 @ (powerset @ X1843))=>![X1846:$i]:(((in @ X1846 @ (powerset @ X1843))=>![X1847:$i]:(((in @ X1847 @ X1843)=>((in @ X1847 @ (binintersect @ X1844 @ X1845))=>(in @ X1847 @ (binunion @ X1845 @ X1846)))))))))))=>(![X1848:$i, X1849:$i]:(((in @ X1849 @ (powerset @ X1848))=>![X1850:$i]:(((in @ X1850 @ (powerset @ X1848))=>![X1851:$i]:(((in @ X1851 @ (powerset @ X1848))=>![X1852:$i]:(((in @ X1852 @ X1848)=>((in @ X1852 @ (binintersect @ X1849 @ X1850))=>(in @ X1852 @ (binintersect @ (binunion @ X1849 @ X1851) @ (binunion @ X1850 @ X1851))))))))))))=>(![X1853:$i, X1854:$i]:(((in @ X1854 @ (powerset @ X1853))=>![X1855:$i]:(((in @ X1855 @ (powerset @ X1853))=>![X1856:$i]:(((in @ X1856 @ (powerset @ X1853))=>(in @ (binintersect @ X1854 @ X1855) @ (powerset @ (binintersect @ (binunion @ X1854 @ X1856) @ (binunion @ X1855 @ X1856))))))))))=>(![X1857:$i, X1858:$i]:(((in @ X1858 @ (powerset @ X1857))=>![X1859:$i]:(((in @ X1859 @ (powerset @ X1857))=>![X1860:$i]:(((in @ X1860 @ X1857)=>((in @ X1860 @ (setminus @ X1857 @ (binunion @ X1858 @ X1859)))=>~(in @ X1860 @ X1858))))))))=>(![X1861:$i, X1862:$i]:(((in @ X1862 @ (powerset @ X1861))=>![X1863:$i]:(((in @ X1863 @ (powerset @ X1861))=>![X1864:$i]:(((in @ X1864 @ X1861)=>((in @ X1864 @ (setminus @ X1861 @ (binunion @ X1862 @ X1863)))=>(in @ X1864 @ (setminus @ X1861 @ X1862)))))))))=>(![X1865:$i, X1866:$i]:(((in @ X1866 @ (powerset @ X1865))=>![X1867:$i]:(((in @ X1867 @ (powerset @ X1865))=>![X1868:$o, X1869:$i]:(((in @ X1869 @ X1865)=>((in @ X1869 @ (binunion @ X1866 @ X1867))=>(((in @ X1869 @ X1866)=>(X1868))=>(((in @ X1869 @ X1867)=>(X1868))=>(X1868))))))))))=>(![X1870:$i, X1871:$i]:(((in @ X1871 @ (powerset @ X1870))=>![X1872:$i]:(((in @ X1872 @ (powerset @ X1870))=>![X1873:$i]:(((in @ X1873 @ X1870)=>(~(in @ X1873 @ X1871)=>(~(in @ X1873 @ X1872)=>~(in @ X1873 @ (binunion @ X1871 @ X1872))))))))))=>(![X1874:$i, X1875:$i]:(((in @ X1875 @ (powerset @ X1874))=>![X1876:$i]:(((in @ X1876 @ (powerset @ X1874))=>![X1877:$i]:(((in @ X1877 @ X1874)=>((in @ X1877 @ (setminus @ X1874 @ (binunion @ X1875 @ X1876)))=>(in @ X1877 @ (setminus @ X1874 @ X1875)))))))))=>(![X1878:$i, X1879:$i]:(((in @ X1879 @ (powerset @ X1878))=>![X1880:$i]:(((in @ X1880 @ (powerset @ X1878))=>(in @ (setminus @ X1878 @ (binunion @ X1879 @ X1880)) @ (powerset @ (setminus @ X1878 @ X1879)))))))=>(![X1881:$i, X1882:$i]:(((in @ X1882 @ (powerset @ X1881))=>![X1883:$i]:(((in @ X1883 @ (powerset @ X1881))=>![X1884:$i]:(((in @ X1884 @ X1881)=>((in @ X1884 @ (setminus @ X1881 @ (binunion @ X1882 @ X1883)))=>(in @ X1884 @ (setminus @ X1881 @ X1883)))))))))=>(![X1885:$i, X1886:$i]:(((in @ X1886 @ (powerset @ X1885))=>![X1887:$i]:(((in @ X1887 @ (powerset @ X1885))=>![X1888:$i]:(((in @ X1888 @ X1885)=>((in @ X1888 @ (setminus @ X1885 @ (binintersect @ X1886 @ X1887)))=>(in @ X1888 @ (binunion @ (setminus @ X1885 @ X1886) @ (setminus @ X1885 @ X1887))))))))))=>(![X1889:$i, X1890:$i]:(((in @ X1890 @ (powerset @ X1889))=>![X1891:$i]:(((in @ X1891 @ (powerset @ X1889))=>![X1892:$i]:(((in @ X1892 @ X1889)=>((in @ X1892 @ (binunion @ (setminus @ X1889 @ X1890) @ (setminus @ X1889 @ X1891)))=>(in @ X1892 @ (setminus @ X1889 @ (binintersect @ X1890 @ X1891))))))))))=>(![X1893:$i, X1894:$i]:(((in @ X1894 @ (powerset @ X1893))=>![X1895:$i]:(((in @ X1895 @ (powerset @ X1893))=>((setminus @ X1893 @ (binintersect @ X1894 @ X1895))=(binunion @ (setminus @ X1893 @ X1894) @ (setminus @ X1893 @ X1895)))))))=>(![X1896:$i, X1897:$i]:(((in @ X1897 @ (powerset @ X1896))=>![X1898:$i]:(((in @ X1898 @ (powerset @ X1896))=>![X1899:$i]:(((in @ X1899 @ X1896)=>((in @ X1899 @ (setminus @ X1896 @ (binunion @ X1897 @ X1898)))=>(in @ X1899 @ (binintersect @ (setminus @ X1896 @ X1897) @ (setminus @ X1896 @ X1898))))))))))=>(![X1900:$i, X1901:$i]:(((in @ X1901 @ (powerset @ X1900))=>![X1902:$i]:(((in @ X1902 @ (powerset @ X1900))=>![X1903:$i]:(((in @ X1903 @ X1900)=>((in @ X1903 @ (setminus @ X1900 @ X1901))=>((in @ X1903 @ (setminus @ X1900 @ X1902))=>(in @ X1903 @ (setminus @ X1900 @ (binunion @ X1901 @ X1902)))))))))))=>(![X1904:$i, X1905:$i]:(((in @ X1905 @ (powerset @ X1904))=>![X1906:$i]:(((in @ X1906 @ (powerset @ X1904))=>![X1907:$i]:(((in @ X1907 @ X1904)=>((in @ X1907 @ (binintersect @ (setminus @ X1904 @ X1905) @ (setminus @ X1904 @ X1906)))=>(in @ X1907 @ (setminus @ X1904 @ (binunion @ X1905 @ X1906))))))))))=>(![X1908:$i, X1909:$i]:(((in @ X1909 @ (powerset @ X1908))=>![X1910:$i]:(((in @ X1910 @ (powerset @ X1908))=>((setminus @ X1908 @ (binunion @ X1909 @ X1910))=(binintersect @ (setminus @ X1908 @ X1909) @ (setminus @ X1908 @ X1910)))))))=>(![X1911:$i, X1912:$i]:(((in @ X1912 @ (powerset @ X1911))=>![X1913:$i]:(((in @ X1913 @ (powerset @ X1911))=>![X1914:$i]:(((in @ X1914 @ (binintersect @ X1912 @ X1913))=>(in @ X1914 @ X1911)))))))=>(![X1915:$i, X1916:$i]:(((in @ X1916 @ (powerset @ X1915))=>![X1917:$i]:(((in @ X1917 @ (powerset @ X1915))=>![X1918:$i]:(((in @ X1918 @ (powerset @ X1915))=>((subset @ X1916 @ X1918)=>(subset @ (binintersect @ X1916 @ X1917) @ X1918))))))))=>(![X1919:$i, X1920:$i]:(((in @ X1920 @ (powerset @ X1919))=>![X1921:$i]:(((in @ X1921 @ (powerset @ X1919))=>![X1922:$i]:(((in @ X1922 @ (powerset @ X1919))=>((subset @ X1921 @ X1922)=>(subset @ (binintersect @ X1920 @ X1921) @ X1922))))))))=>(![X1923:$i, X1924:$i]:(((in @ X1924 @ (powerset @ X1923))=>![X1925:$i]:(((in @ X1925 @ (powerset @ X1923))=>![X1926:$i]:(((in @ X1926 @ (powerset @ X1923))=>((subset @ X1924 @ X1925)=>((subset @ X1924 @ X1926)=>(subset @ X1924 @ (binintersect @ X1925 @ X1926))))))))))=>(![X1927:$i, X1928:$i]:(((in @ X1928 @ (powerset @ X1927))=>![X1929:$i]:(((in @ X1929 @ (powerset @ X1927))=>![X1930:$i]:(((in @ X1930 @ (powerset @ X1927))=>![X1931:$i]:(((in @ X1931 @ (powerset @ X1927))=>((subset @ X1928 @ X1930)=>((subset @ X1929 @ X1931)=>(subset @ (binintersect @ X1928 @ X1929) @ (binintersect @ X1930 @ X1931))))))))))))=>(![X1932:$i, X1933:$i]:(((in @ X1933 @ (powerset @ X1932))=>![X1934:$i]:(((in @ X1934 @ (powerset @ X1932))=>(in @ (setminus @ X1932 @ X1933) @ (powerset @ (setminus @ X1932 @ (binintersect @ X1933 @ X1934))))))))=>(![X1935:$i, X1936:$i]:(((in @ X1936 @ (powerset @ X1935))=>![X1937:$i]:(((in @ X1937 @ (powerset @ X1935))=>![X1938:$i]:(((in @ X1938 @ (powerset @ X1935))=>![X1939:$i]:(((in @ X1939 @ (powerset @ X1935))=>((setminus @ X1935 @ (binintersect @ (binunion @ X1936 @ X1937) @ (binunion @ X1938 @ X1939)))=(binunion @ (binintersect @ (setminus @ X1935 @ X1936) @ (setminus @ X1935 @ X1937)) @ (binintersect @ (setminus @ X1935 @ X1938) @ (setminus @ X1935 @ X1939))))))))))))=>(![X1940:$i, X1941:$i]:(((in @ X1941 @ (powerset @ X1940))=>![X1942:$i]:(((in @ X1942 @ (powerset @ X1940))=>![X1943:$i]:(((in @ X1943 @ (powerset @ X1940))=>(in @ (binintersect @ X1941 @ X1942) @ (powerset @ (binintersect @ (binunion @ X1941 @ X1943) @ (binunion @ X1942 @ X1943))))))))))=>(![X1944:$i, X1945:$i]:(((in @ X1945 @ (powerset @ X1944))=>![X1946:$i]:(((in @ X1946 @ (powerset @ X1944))=>((subset @ X1945 @ (setminus @ X1944 @ X1946))=>(subset @ X1946 @ (setminus @ X1944 @ X1945)))))))=>(![X1947:$i, X1948:$i]:(((in @ X1948 @ (powerset @ X1947))=>![X1949:$i]:(((in @ X1949 @ (powerset @ X1947))=>(in @ (setminus @ X1947 @ (binunion @ X1948 @ X1949)) @ (powerset @ (setminus @ X1947 @ X1948)))))))=>(![X1950:$i, X1951:$i]:(((breln1 @ X1950 @ X1951)=>![X1952:$i > $o]:((![X1953:$i]:(((in @ X1953 @ X1950)=>![X1954:$i]:(((in @ X1954 @ X1950)=>((in @ (kpair @ X1953 @ X1954) @ X1951)=>(X1952 @ (kpair @ X1953 @ X1954)))))))=>![X1955:$i]:(((in @ X1955 @ X1951)=>(X1952 @ X1955)))))))=>(![X1956:$i, X1957:$i]:(((in @ X1957 @ (breln1Set @ X1956))=>(breln1 @ X1956 @ X1957)))=>((choice2fnsingleton)=>(![X1958:$i, X1959:$i > $i > $o]:((breln1 @ X1958 @ (dpsetconstr @ X1958 @ X1958 @ X1959)))=>(![X1960:$i, X1961:$i]:(((breln1 @ X1960 @ X1961)=>![X1962:$i > $o]:((![X1963:$i]:(((in @ X1963 @ X1960)=>![X1964:$i]:(((in @ X1964 @ X1960)=>((in @ (kpair @ X1963 @ X1964) @ X1961)=>(X1962 @ (kpair @ X1963 @ X1964)))))))=>![X1965:$i]:(((in @ X1965 @ X1961)=>(X1962 @ X1965)))))))=>(![X1966:$i, X1967:$i]:(((breln1 @ X1966 @ X1967)=>![X1968:$i]:(((breln1 @ X1966 @ X1968)=>(![X1969:$i]:(((in @ X1969 @ X1966)=>![X1970:$i]:(((in @ X1970 @ X1966)=>((in @ (kpair @ X1969 @ X1970) @ X1967)=>(in @ (kpair @ X1969 @ X1970) @ X1968))))))=>(subset @ X1967 @ X1968))))))=>(![X1971:$i, X1972:$i]:(((breln1 @ X1971 @ X1972)=>![X1973:$i]:(((breln1 @ X1971 @ X1973)=>(![X1974:$i]:(((in @ X1974 @ X1971)=>![X1975:$i]:(((in @ X1975 @ X1971)=>((in @ (kpair @ X1974 @ X1975) @ X1972)=>(in @ (kpair @ X1974 @ X1975) @ X1973))))))=>(![X1976:$i]:(((in @ X1976 @ X1971)=>![X1977:$i]:(((in @ X1977 @ X1971)=>((in @ (kpair @ X1976 @ X1977) @ X1973)=>(in @ (kpair @ X1976 @ X1977) @ X1972))))))=>((X1972)=(X1973))))))))=>(![X1978:$i, X1979:$i]:(((breln1 @ X1978 @ X1979)=>(breln1 @ X1978 @ (breln1invset @ X1978 @ X1979))))=>(![X1980:$i, X1981:$i]:(((breln1 @ X1980 @ X1981)=>![X1982:$i]:(((in @ X1982 @ X1980)=>![X1983:$i]:(((in @ X1983 @ X1980)=>((in @ (kpair @ X1982 @ X1983) @ X1981)=>(in @ (kpair @ X1983 @ X1982) @ (breln1invset @ X1980 @ X1981)))))))))=>(![X1984:$i, X1985:$i]:(((breln1 @ X1984 @ X1985)=>![X1986:$i]:(((in @ X1986 @ X1984)=>![X1987:$i]:(((in @ X1987 @ X1984)=>((in @ (kpair @ X1987 @ X1986) @ (breln1invset @ X1984 @ X1985))=>(in @ (kpair @ X1986 @ X1987) @ X1985))))))))=>(![X1988:$i, X1989:$i]:(((breln1 @ X1988 @ X1989)=>![X1990:$i]:(((breln1 @ X1988 @ X1990)=>(breln1 @ X1988 @ (breln1compset @ X1988 @ X1989 @ X1990))))))=>(![X1991:$i, X1992:$i]:(((breln1 @ X1991 @ X1992)=>![X1993:$i]:(((breln1 @ X1991 @ X1993)=>![X1994:$i]:(((in @ X1994 @ X1991)=>![X1995:$i]:(((in @ X1995 @ X1991)=>![X1996:$i]:(((in @ X1996 @ X1991)=>((in @ (kpair @ X1994 @ X1996) @ X1992)=>((in @ (kpair @ X1996 @ X1995) @ X1993)=>(in @ (kpair @ X1994 @ X1995) @ (breln1compset @ X1991 @ X1992 @ X1993))))))))))))))=>(![X1997:$i, X1998:$i]:(((breln1 @ X1997 @ X1998)=>![X1999:$i]:(((breln1 @ X1997 @ X1999)=>![X2000:$i]:(((in @ X2000 @ X1997)=>![X2001:$i]:(((in @ X2001 @ X1997)=>((in @ (kpair @ X2000 @ X2001) @ (breln1compset @ X1997 @ X1998 @ X1999))=>?[X2002:$i]:((((in @ X2002 @ X1997)&(in @ (kpair @ X2000 @ X2002) @ X1998))&(in @ (kpair @ X2002 @ X2001) @ X1999))))))))))))=>(![X2003:$i, X2004:$i]:(((breln1 @ X2003 @ X2004)=>![X2005:$i]:(((breln1 @ X2003 @ X2005)=>![X2006:$i]:(((in @ X2006 @ X2003)=>![X2007:$i]:(((in @ X2007 @ X2003)=>((in @ (kpair @ X2006 @ X2007) @ (breln1compset @ X2003 @ X2004 @ X2005))=>![X2008:$o]:((![X2009:$i]:(((in @ X2009 @ X2003)=>((in @ (kpair @ X2006 @ X2009) @ X2004)=>((in @ (kpair @ X2009 @ X2007) @ X2005)=>(X2008)))))=>(X2008))))))))))))=>(![X2010:$i, X2011:$i]:(((breln1 @ X2010 @ X2011)=>![X2012:$i]:(((breln1 @ X2010 @ X2012)=>(breln1 @ X2010 @ (binunion @ X2011 @ X2012))))))=>(![X2013:$i, X2014:$i]:(((breln1 @ X2013 @ X2014)=>![X2015:$i]:(((breln1 @ X2013 @ X2015)=>![X2016:$i]:(((in @ X2016 @ X2013)=>![X2017:$i]:(((in @ X2017 @ X2013)=>((in @ (kpair @ X2016 @ X2017) @ X2014)=>(in @ (kpair @ X2016 @ X2017) @ (binunion @ X2014 @ X2015)))))))))))=>(![X2018:$i, X2019:$i]:(((breln1 @ X2018 @ X2019)=>![X2020:$i]:(((breln1 @ X2018 @ X2020)=>![X2021:$i]:(((in @ X2021 @ X2018)=>![X2022:$i]:(((in @ X2022 @ X2018)=>((in @ (kpair @ X2021 @ X2022) @ X2020)=>(in @ (kpair @ X2021 @ X2022) @ (binunion @ X2019 @ X2020)))))))))))=>(![X2023:$i, X2024:$i]:(((breln1 @ X2023 @ X2024)=>![X2025:$i]:(((breln1 @ X2023 @ X2025)=>![X2026:$i]:(((in @ X2026 @ X2023)=>![X2027:$i]:(((in @ X2027 @ X2023)=>(((in @ (kpair @ X2026 @ X2027) @ X2024)|(in @ (kpair @ X2026 @ X2027) @ X2025))=>(in @ (kpair @ X2026 @ X2027) @ (binunion @ X2024 @ X2025)))))))))))=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))=>((in @ (kpair @ X2 @ X3) @ X33)|(in @ (kpair @ X2 @ X3) @ X35)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_301, doubleComplementEq]), doubleComplementSub2]), complementTnotintersectT]), complementImpComplementIntersect]), in__Cong]), complementSubsetComplementIntersect]), inCongP]), complementInPowersetComplementIntersect]), c_0_302]), contraSubsetComplement]), c_0_303]), complementTcontraSubset]), c_0_304]), binunionTILcontra]), c_0_305]), binunionTIRcontra]), inIntersectImpInUnion]), inIntersectImpInUnion2]), inIntersectImpInIntersectUnions]), intersectInPowersetIntersectUnions]), inComplementUnionImpNotIn1]), inComplementUnionImpInComplement1]), binunionTE]), binunionTEcontra]), demorgan2a1]), complementUnionInPowersetComplement]), demorgan2a2]), demorgan1a]), demorgan1b]), c_0_306]), demorgan1]), omega__Cong]), demorgan2a]), setunion__Cong]), demorgan2b2]), powerset__Cong]), demorgan2b]), setadjoin__Cong]), demorgan2]), emptyset__Cong]), woz13rule0]), c_0_307]), woz13rule1]), c_0_308]), woz13rule2]), woz13rule3]), woz13rule4]), woz1_1]), woz1_2]), woz1_3]), woz1_4]), woz1_5]), breln1all2]), breln1SetBreln1]), c_0_309]), breln1all1]), subbreln1]), subsetE]), eqbreln1]), emptysetsubset]), breln1invprop]), breln1invI]), subsetI2]), breln1invE]), eqimpsubset1]), breln1compprop]), eqimpsubset2]), breln1compI]), subsetI1]), breln1compE]), c_0_310]), breln1compEex]), subsetE2]), breln1unionprop]), breln1unionIL]), breln1unionIR]), breln1unionI]), setminusSubset2]), setminusER]), setminusEL]), setadjoinSub2]), setadjoinSub]), subsetTrans]), subsetRefl]), notequalI2]), notequalI1]), notsubsetI]), subset2powerset]), c_0_311]), powersetsubset]), inPowerset]), powersetE1]), powersetI1]), subsetemptysetimpeq]), setextsub]), c_0_312]), binunionRsub]), binunionLsub]), binunionE]), binunionEcases]), binunionIR]), upairset2IR]), binunionIL]), binintersectI]), disjointsetsI1]), binintersectER]), binintersectSubset3]), binintersectSubset2]), binintersectLsub]), binintersectEL]), binintersectSubset5]), binintersectRsub]), app]), c_0_313]), c_0_314]), c_0_315]), c_0_316]), funcinfuncset]), funcGraphProp1]), c_0_317]), setminusI]), bs114d]), binintersectSubset1]), binintersectSubset4]), setminusERneg]), symdiffI1]), symdiffE]), setminusSubset1]), setminusLsub]), setminusIRneg]), setminusILneg]), setminusELneg]), symdiffI2]), kpairp]), kpairiskpair]), setukpairIR]), setukpairIL]), secondinupair]), symdiffIneg2]), symdiffIneg1]), singletonsubset]), ubforcartprodlem2]), ubforcartprodlem1]), upairinpowunion]), upairsubunion]), upairset2E]), singletoninpowunion]), singletoninpowerset]), ubforcartprodlem3]), setunionsingleton]), setunionsingleton2]), setunionsingleton1]), setunionE2]), cartprodmempair]), cartprodmempair1]), cartprodpairin]), c_0_318]), theprop]), c_0_319]), setukpairinjL1]), singletonsuniq]), c_0_320]), c_0_321]), c_0_322]), kfstpairEq]), upairequniteq]), setukpairinjR1]), setukpairinjR12]), setukpairinjR11]), setukpairinjL]), setukpairinjL2]), cartprodfstin]), setukpairinjR2]), cartprodpairmemER]), cartprodpairmemEL]), cartprodsndin]), kpairsurjEq]), ksndpairEq]), c_0_323]), setukpairinjR]), cartprodmempaircEq]), c_0_324]), c_0_325]), c_0_326]), c_0_327]), cartprodpairsurjEq]), cartprodsndpairEq]), cartprodfstpairEq]), c_0_328]), ap2p]), infuncsetfunc]), brelnall2]), brelnall1]), c_0_329]), c_0_330]), c_0_331]), funcGraphProp3]), funcext2]), funcext]), eqbreln]), subbreln]), funcGraphProp4]), funcextLem]), funcGraphProp2]), ap2apEq1]), c_0_332]), c_0_333]), c_0_334]), c_0_335]), c_0_336]), c_0_337]), ap2apEq2]), c_0_338]), iffalse]), iftrue]), theeq]), ifp]), c_0_339]), c_0_340]), c_0_341]), iftrueorfalse]), subsetTI]), setextT]), complementT_lem]), setminusT_lem]), powersetT_lem]), binunionT_lem]), binintersectT_lem]), powersetTI1]), contrasubsetT1]), contrasubsetT]), binintersectTERcontra]), binintersectTELcontra]), complementTE1]), complementTI1]), powersetTE1]), contrasubsetT3]), doubleComplementI1]), doubleComplementE1]), doubleComplementSub1]), contrasubsetT2]), notdallE]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), c_0_342]), upairsetIR]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), notinsingleton]), uniqinunit]), nonemptyImpWitness]), c_0_343]), subPowSU]), setunionE]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), c_0_344]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), nonemptyI1]), c_0_345]), nonemptyE1]), c_0_346]), noeltsimpempty]), emptyI]), setext]), c_0_347]), notinemptyset]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_348]), c_0_349]), c_0_350]), c_0_351]), c_0_352]), wellorderingAx]), foundationAx]), c_0_353]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_354])).
% 1.72/0.50 thf(c_0_356, negated_conjecture, ![X2028:$i, X2029:$i, X2031:$i, X2032:$i, X2033:$i, X2034:$i, X2035:$i, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2041:$i, X2042:$i, X2044:$i, X2045:$i, X2046:$i, X2047:$i, X2048:$i, X2050:$i, X2051:$i > $i > $o, X2052:$i, X2055:$i, X2057:$i, X2058:$i, X2059:$i, X2060:$i, X2062:$i, X2063:$i > $o, X2064:$i, X2065:$i > $o, X2066:$i, X2067:$i, X2068:$i > $o, X2069:$i, X2070:$i, X2071:$i > $o, X2072:$i, X2073:$i > $o, X2075:$i, X2076:$o, X2077:$i, X2078:$i, X2079:$o, X2080:$i, X2081:$i, X2082:$i > $o, X2084:$i, X2085:$i, X2088:$i, X2090:$i, X2092:$i, X2093:$i > $o, X2094:$i, X2095:$i, X2097:$i, X2098:$i > $o, X2099:$i, X2100:$i, X2101:$i, X2102:$i, X2103:$i, X2104:$i, X2105:$i, X2106:$i, X2107:$i, X2108:$i, X2109:$i, X2110:$o, X2111:$i, X2112:$i, X2113:$i, X2114:$i, X2115:$i, X2116:$i, X2118:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i, X2127:$i, X2128:$o, X2130:$i, X2131:$i, X2132:$i > $o, X2134:$i, X2135:$i, X2136:$i, X2138:$i, X2139:$i, X2140:$i, X2141:$i, X2142:$i, X2143:$i, X2144:$i, X2145:$i, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i, X2151:$i, X2152:$i, X2153:$i, X2154:$i > $o, X2155:$i, X2156:$i > $o, X2157:$i, X2158:$i, X2159:$i > $o, X2160:$i, X2162:$i, X2163:$i > $o, X2165:$i, X2166:$i, X2167:$i > $o, X2169:$i, X2170:$i, X2171:$i > $o, X2172:$i, X2174:$o, X2175:$i, X2176:$i > $o, X2178:$i, X2179:$i, X2180:$i > $o, X2181:$i, X2183:$i > $o, X2184:$i, X2186:$i > $o, X2187:$i, X2190:$i > $o, X2191:$i, X2193:$i, X2194:$i, X2195:$i, X2196:$i, X2197:$i, X2198:$i, X2199:$i, X2200:$i, X2201:$i > $o, X2202:$i, X2203:$i, X2204:$i > $o, X2205:$i > $o, X2208:$i, X2209:$i, X2210:$i, X2211:$i, X2212:$i, X2213:$i, X2214:$i, X2215:$i, X2216:$i > $o, X2217:$i, X2218:$i, X2219:$i > $o, X2220:$i > $o, X2223:$i, X2224:$i, X2225:$i > $o, X2226:$i > $o, X2229:$i, X2230:$i, X2232:$i, X2233:$i, X2234:$i, X2235:$i, X2236:$i, X2237:$i, X2239:$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:$i, X2261:$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 > $o, X2277:$i, X2278:$i > $o, X2279:$i, X2280:$i, X2281:$i, X2282:$i, X2283:$i, X2284:$i, X2285:$i, X2286:$i, X2287:$i, X2288:$i, X2289:$i, X2290:$o, X2291:$i, X2292:$i, X2293:$i, X2294:$i, X2295:$i, X2296:$i, X2297:$i, X2298:$i, X2299:$i, X2300:$i, X2301:$i, 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, 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:$i, X2358:$o, X2359:$i, X2360:$i, X2361:$i, X2362:$i, X2363:$i, X2364:$i, X2365:$i, X2366:$i, X2367:$i, X2368:$i, X2369:$i, X2370:$i, X2371:$i, X2372:$i, X2373:$i, X2374:$i, X2375:$i, X2376:$i, X2377:$i, X2378:$i, X2379:$i, X2380:$i, X2381:$i, X2382:$i, X2383:$i, X2384:$i, X2385:$i, X2386:$i, X2387:$i, X2388:$i, X2389:$i, X2390:$i, X2391:$i, X2392:$i, X2393:$i, X2394:$i, X2395:$i, X2396:$i, X2397:$i, X2398:$i, X2399:$i, X2400:$i, X2401:$i, X2402:$i, X2403:$i, X2404:$i, X2405:$i, X2406:$i, X2407:$i, X2408:$i, X2409:$i, X2410:$i, X2411:$i, X2412:$i, X2413:$i, X2414:$i, X2415:$i, X2416:$i, X2417:$i, X2420:$i, X2421:$i, X2422:$i, X2423:$i, X2424:$i, X2426:$i, X2427:$i, X2428:$i, X2429:$i, X2430:$i > $o, X2433:$i, X2434:$i, X2435:$i > $o, X2437:$i, X2438:$i > $o, X2439:$i, X2441:$i, X2442:$i > $o, X2445:$i, X2446:$i, X2447:$i, X2448:$i, X2449:$i, X2450:$i, X2451:$i, X2452:$i, X2453:$i, X2454:$i, X2455:$i, X2456:$i, X2457:$i, X2458:$i, X2459:$i, X2460:$i, X2461:$i, X2462:$i, X2463:$i, X2464:$i, X2465:$i, X2466:$i, X2467:$i, X2468:$i, X2469:$i, X2470:$i, X2471:$i, X2472:$i, X2473:$i, X2474:$i, X2475:$i, X2476:$i, X2477:$i, X2478:$i, X2479:$i, X2480:$i, X2481:$i, X2482:$i, X2483:$i, X2484:$i, X2485:$i, X2486:$i, X2487:$i, X2488:$i, X2489:$i, X2490:$i, X2491:$i, X2492:$i, X2493:$i, X2494:$i, X2495:$i, X2496:$i, X2497:$i, X2498:$i, X2499:$i, X2500:$i, X2501:$i, X2502:$i, X2503:$i, X2504:$i, X2505:$i, X2506:$i, X2507:$i, X2508:$i, X2509:$i, X2510:$i, X2511:$i, X2512:$i, X2513:$i, X2514:$i, X2515:$i, X2516:$i, X2517:$i > $i > $o, X2518:$i, X2519:$i, X2520:$i, X2521:$i, X2522:$i > $i > $o, X2523:$i, X2524:$i, X2525:$i > $i > $o, X2526:$i, X2527:$i, X2528:$i > $i > $o, X2529:$i, X2530:$i, X2531:$i, X2532:$i, X2533:$i > $i > $o, X2534:$i, X2535:$i, X2536:$i, X2537:$i, X2538:$i > $i > $o, X2539:$i, X2540:$i, X2541:$i, X2542:$i, X2543:$i > $i > $o, X2544:$i, X2545:$i, X2546:$i, X2547:$i, X2548:$i, X2549:$i, X2550:$i, X2551:$i, X2552:$i, X2553:$i, X2554:$i, X2555:$i, X2556:$i, X2557:$i, X2558:$i, X2559:$i, X2560:$i, X2561:$i, X2562:$i, X2563:$i, X2564:$i, X2565:$i, X2566:$i, X2567:$i, X2568:$i, X2569:$i, X2570:$i > $i, X2572:$i, X2573:$i, X2574:$i > $i, X2576:$i, X2577:$i, X2578:$i > $i, X2580:$i, X2581:$i, X2582:$i, X2583:$i > $o, X2586:$i, X2587:$i, X2588:$i, X2589:$i, X2590:$i > $o, X2593:$i, X2594:$i, X2595:$i > $o, X2596:$i, X2597:$i, X2598:$i, X2599:$i, X2600:$i, X2601:$i, X2602:$i, X2603:$i, X2604:$i, X2605:$i, X2606:$i, X2607:$i, X2608:$i, X2609:$i, X2610:$i, X2611:$i, X2612:$i, X2613:$i, X2614:$i, X2616:$i, X2617:$i, X2618:$i, X2619:$i, X2620:$i, X2621:$i, X2622:$i, X2623:$i, X2624:$i, X2625:$i, X2626:$i, X2629:$i, X2630:$i, X2631:$i, X2632:$i, X2637:$i, X2638:$i, X2639:$i, X2640:$i, X2642:$i, X2643:$i, X2644:$i, X2645:$i, X2647:$i, X2648:$i, X2649:$i, X2650:$i, X2651:$i, X2652:$i, X2653:$i, X2654:$i, X2655:$i, X2656:$i, X2657:$i > $i, X2659:$i, X2660:$i, X2661:$i, X2662:$i, X2663:$i, X2664:$i, X2665:$i > $i, X2667:$i, X2668:$i, X2669:$i > $i, X2671:$i, X2672:$i, X2673:$i, X2674:$i, X2675:$i, X2676:$o, X2677:$i, X2678:$i, X2679:$i, X2680:$o, X2681:$i, X2682:$i, X2683:$i, X2684:$o, X2685:$i, X2686:$i, X2687:$i, X2688:$o, X2689:$i, X2690:$i, X2691:$i, X2692:$o, X2693:$i, X2694:$i, X2695:$i, X2696:$o, X2697:$i, X2698:$i, X2699:$i, X2700:$i, X2701:$i, X2702:$o, X2703:$i, X2704:$i, X2705:$i, X2706:$o, X2707:$i, X2708:$i, X2709:$i, X2710:$o, X2711:$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:$i, X2731:$i, X2732:$i, X2733:$i, X2735:$i, X2736:$i, X2737:$i, X2739:$i, X2740:$i, X2741:$i, X2742:$i, X2743:$i, X2744:$i, X2745:$i, X2746:$i, X2747:$i, X2748:$i, X2749:$i, X2750:$i, X2751:$i, X2752:$i, X2753:$i, X2754:$i, X2755:$i, X2756:$i, X2757:$i, X2758:$i, X2759:$i, X2760:$i, X2761:$i, X2762:$i, X2763:$i, X2764:$i, X2765:$i, X2766:$i, X2767:$i, X2768:$i, X2769:$i, X2770:$i, X2771:$i, X2772:$i, X2773:$i, X2774:$i, X2775:$i, X2776:$i, X2777:$i, X2778:$i, X2779:$i, X2780:$i, X2781:$i, X2782:$i, X2783:$i, X2784:$i, X2785:$i, X2786:$i, X2787:$i, X2788:$i, X2789:$i, X2790:$i, X2791:$i, X2792:$i, X2793:$i, X2794:$i, X2795:$i, X2796:$i, X2797:$i, X2798:$i, X2799:$i, X2800:$i, X2801:$i, X2802:$i, X2803:$i, 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:$o, X2843:$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, X2870:$i, X2871:$i, X2872:$i, X2873:$i, X2874:$i, X2875:$i, X2876:$i, X2877:$i, X2878:$i, X2879:$i, X2880:$i, X2881:$i, X2882:$i, X2883:$i, X2884:$i, X2885:$i, X2886:$i, X2887:$i, X2888:$i, X2889:$i, X2890:$i, X2891:$i, X2892:$i, X2893:$i, X2894:$i, X2895:$i, X2896:$i, X2897:$i, X2898:$i, X2899:$i, X2900:$i, X2901:$i, X2902:$i, X2903:$i, X2904:$i, X2905:$i, X2906:$i, X2907:$i, X2908:$i, X2909:$i, X2910:$i, X2911:$i, X2912:$i, X2913:$i, X2914:$i, X2915:$i, X2916:$i, X2917:$i, X2918:$i, X2919:$i, X2920:$i, X2921:$i, X2922:$i, X2923:$i, X2924:$i, X2925:$i, X2926:$i > $o, X2929:$i, X2930:$i, X2931:$i, X2932:$i, X2933:$i > $i > $o, X2934:$i, X2935:$i, X2936:$i > $o, X2939:$i, X2940:$i, X2941:$i, X2942:$i, X2945:$i, X2946:$i, X2947:$i, X2952:$i, X2953:$i, X2954:$i, X2955:$i, X2956:$i, X2957:$i, X2958:$i, X2959:$i, X2960:$i, X2961:$i, X2962:$i, X2963:$i, X2964:$i, X2965:$i, X2966:$i, X2967:$i, X2968:$i, X2969:$i, X2970:$i, X2971:$i, X2972:$i, X2973:$i, X2974:$i, X2975:$i, X2977:$i, X2978:$i, X2979:$i, X2980:$i, X2981:$i, X2982:$o, X2984:$i, X2985:$i, X2986:$i, X2987:$i, X2988:$i, X2989:$i, X2990:$i, X2991:$i, X2992:$i, X2993:$i, X2994:$i, X2995:$i, X2996:$i, X2997:$i, X2998:$i, X2999:$i, X3000:$i, X3001:$i]:((((~(in @ (esk1_2 @ X2028 @ X2029) @ X2028)|~(in @ (esk1_2 @ X2028 @ X2029) @ X2029)|((X2028)=(X2029)))&((in @ (esk1_2 @ X2028 @ X2029) @ X2028)|(in @ (esk1_2 @ X2028 @ X2029) @ X2029)|((X2028)=(X2029))))&(~(in @ X2031 @ emptyset)&(((~(in @ X2034 @ (setadjoin @ X2032 @ X2033))|(((X2034)=(X2032))|(in @ X2034 @ X2033)))&((((X2034)!=(X2032))|(in @ X2034 @ (setadjoin @ X2032 @ X2033)))&(~(in @ X2034 @ X2033)|(in @ X2034 @ (setadjoin @ X2032 @ X2033)))))&(((~(in @ X2036 @ (powerset @ X2035))|(~(in @ X2037 @ X2036)|(in @ X2037 @ X2035)))&(((in @ (esk2_2 @ X2038 @ X2039) @ X2039)|(in @ X2039 @ (powerset @ X2038)))&(~(in @ (esk2_2 @ X2038 @ X2039) @ X2038)|(in @ X2039 @ (powerset @ X2038)))))&(((((in @ X2042 @ (esk3_2 @ X2041 @ X2042))|~(in @ X2042 @ (setunion @ X2041)))&((in @ (esk3_2 @ X2041 @ X2042) @ X2041)|~(in @ X2042 @ (setunion @ X2041))))&(~(in @ X2045 @ X2046)|~(in @ X2046 @ X2044)|(in @ X2045 @ (setunion @ X2044))))&((in @ emptyset @ omega)&((~(in @ X2047 @ omega)|(in @ (setadjoin @ X2047 @ X2047) @ omega))&(((((in @ (esk4_1 @ X2048) @ omega)|~(in @ emptyset @ X2048)|(~(in @ X2050 @ omega)|(in @ X2050 @ X2048)))&((in @ (esk4_1 @ X2048) @ X2048)|~(in @ emptyset @ X2048)|(~(in @ X2050 @ omega)|(in @ X2050 @ X2048))))&(~(in @ (setadjoin @ (esk4_1 @ X2048) @ (esk4_1 @ X2048)) @ X2048)|~(in @ emptyset @ X2048)|(~(in @ X2050 @ omega)|(in @ X2050 @ X2048))))&((((((in @ (esk7_3 @ X2051 @ X2052 @ X2055) @ X2052)|~(in @ X2055 @ (esk6_2 @ X2051 @ X2052))|(in @ (esk5_2 @ X2051 @ X2052) @ X2052))&((X2051 @ (esk7_3 @ X2051 @ X2052 @ X2055) @ X2055)|~(in @ X2055 @ (esk6_2 @ X2051 @ X2052))|(in @ (esk5_2 @ X2051 @ X2052) @ X2052)))&(~(in @ X2058 @ X2052)|~(X2051 @ X2058 @ X2057)|(in @ X2057 @ (esk6_2 @ X2051 @ X2052))|(in @ (esk5_2 @ X2051 @ X2052) @ X2052)))&((((in @ (esk7_3 @ X2051 @ X2052 @ X2055) @ X2052)|~(in @ X2055 @ (esk6_2 @ X2051 @ X2052))|~(exu @ (X2051 @ (esk5_2 @ X2051 @ X2052))))&((X2051 @ (esk7_3 @ X2051 @ X2052 @ X2055) @ X2055)|~(in @ X2055 @ (esk6_2 @ X2051 @ X2052))|~(exu @ (X2051 @ (esk5_2 @ X2051 @ X2052)))))&(~(in @ X2058 @ X2052)|~(X2051 @ X2058 @ X2057)|(in @ X2057 @ (esk6_2 @ X2051 @ X2052))|~(exu @ (X2051 @ (esk5_2 @ X2051 @ X2052))))))&((((in @ (esk8_1 @ X2059) @ X2059)|~(in @ X2060 @ X2059))&(~(in @ X2062 @ (esk8_1 @ X2059))|~(in @ X2062 @ X2059)|~(in @ X2060 @ X2059)))&((epred1_0)&((~(exu @ X2063)|(X2063 @ (descr @ X2063)))&((~(in @ X2066 @ X2064)|(~(X2065 @ X2066)|(in @ X2066 @ (dsetconstr @ X2064 @ X2065))))&((~(in @ X2069 @ (dsetconstr @ X2067 @ X2068))|(in @ X2069 @ X2067))&((~(in @ X2072 @ (dsetconstr @ X2070 @ X2071))|(X2071 @ X2072))&((((X2073 @ (esk9_1 @ X2073))|~(exu @ X2073))&(~(X2073 @ X2075)|((esk9_1 @ X2073)=(X2075))|~(exu @ X2073)))&((~(in @ X2077 @ (prop2set @ ((X2076))))|(X2076))&((~(in @ X2078 @ emptyset)|(X2079))&((~(in @ X2080 @ emptyset)|~($true))&(~(in @ X2081 @ emptyset)&((~(exu @ X2082)|(X2082 @ (esk10_1 @ X2082)))&(((((in @ (esk12_2 @ X2084 @ X2085) @ X2085)|((X2084)=(X2085))|(in @ (esk11_2 @ X2084 @ X2085) @ X2084))&(~(in @ (esk12_2 @ X2084 @ X2085) @ X2084)|((X2084)=(X2085))|(in @ (esk11_2 @ X2084 @ X2085) @ X2084)))&(((in @ (esk12_2 @ X2084 @ X2085) @ X2085)|((X2084)=(X2085))|~(in @ (esk11_2 @ X2084 @ X2085) @ X2085))&(~(in @ (esk12_2 @ X2084 @ X2085) @ X2084)|((X2084)=(X2085))|~(in @ (esk11_2 @ X2084 @ X2085) @ X2085))))&(((in @ (esk13_1 @ X2088) @ X2088)|((X2088)=(emptyset)))&(((in @ (esk14_1 @ X2090) @ X2090)|((X2090)=(emptyset)))&(((~(in @ X2094 @ (dsetconstr @ X2092 @ X2093))|(X2093 @ X2094)|~(in @ X2094 @ X2092))&(~(X2093 @ X2094)|(in @ X2094 @ (dsetconstr @ X2092 @ X2093))|~(in @ X2094 @ X2092)))&((~(nonempty @ X2095)|(in @ (esk15_1 @ X2095) @ X2095))&((~(in @ X2099 @ X2097)|(~(X2098 @ X2099)|(nonempty @ (dsetconstr @ X2097 @ X2098))))&((~(in @ X2101 @ X2100)|(nonempty @ X2100))&((in @ X2102 @ (setadjoin @ X2102 @ X2103))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X2106 @ X2105)|(in @ X2106 @ (setadjoin @ X2104 @ X2105)))&(((((in @ X2109 @ X2108)|(X2110)|((X2109)=(X2107))|~(in @ X2109 @ (setadjoin @ X2107 @ X2108)))&(~(X2110)|(X2110)|((X2109)=(X2107))|~(in @ X2109 @ (setadjoin @ X2107 @ X2108))))&(((in @ X2109 @ X2108)|(X2110)|~(X2110)|~(in @ X2109 @ (setadjoin @ X2107 @ X2108)))&(~(X2110)|(X2110)|~(X2110)|~(in @ X2109 @ (setadjoin @ X2107 @ X2108)))))&((~(in @ X2113 @ (setadjoin @ X2111 @ X2112))|(((X2113)=(X2111))|(in @ X2113 @ X2112)))&(((dsetconstr @ X2114 @ (^[Z0:$i]:($true)))=(X2114))&((((in @ (esk16_2 @ X2115 @ X2116) @ X2116)|(in @ X2116 @ (powerset @ X2115)))&(~(in @ (esk16_2 @ X2115 @ X2116) @ X2115)|(in @ X2116 @ (powerset @ X2115))))&((in @ emptyset @ (powerset @ X2118))&((in @ emptyset @ (powerset @ X2119))&((~(in @ X2121 @ (powerset @ X2120))|(~(in @ X2122 @ X2121)|(in @ X2122 @ X2120)))&((~(in @ X2124 @ X2125)|(~(in @ X2125 @ X2123)|(in @ X2124 @ (setunion @ X2123))))&((((in @ X2127 @ (esk17_3 @ X2126 @ X2127 @ X2128))|(X2128)|~(in @ X2127 @ (setunion @ X2126)))&(((in @ (esk17_3 @ X2126 @ X2127 @ X2128) @ X2126)|(X2128)|~(in @ X2127 @ (setunion @ X2126)))&(~(X2128)|(X2128)|~(in @ X2127 @ (setunion @ X2126)))))&((~(in @ X2131 @ X2130)|(in @ X2131 @ (powerset @ (setunion @ X2130))))&(((~(X2132 @ X2134)|((X2134)=(esk18_1 @ X2132))|~(exu @ X2132))&(((X2135)!=(esk18_1 @ X2132))|(X2132 @ X2135)|~(exu @ X2132)))&((((in @ (esk19_1 @ X2136) @ X2136)|~(nonempty @ X2136))&(($true)|~(nonempty @ X2136)))&((~(in @ X2138 @ (setadjoin @ X2139 @ emptyset))|((X2138)=(X2139)))&((((X2140)=(X2141))|~(in @ X2141 @ (setadjoin @ X2140 @ emptyset)))&((((X2142)!=(X2143))|(in @ X2142 @ (setadjoin @ X2143 @ emptyset)))&((~(in @ X2144 @ (setadjoin @ X2145 @ emptyset))|(in @ X2145 @ (setadjoin @ X2144 @ emptyset)))&((~(in @ X2148 @ (setadjoin @ X2146 @ (setadjoin @ X2147 @ emptyset)))|(((X2148)=(X2146))|((X2148)=(X2147))))&((in @ X2149 @ (setadjoin @ X2149 @ (setadjoin @ X2150 @ emptyset)))&((in @ X2152 @ (setadjoin @ X2151 @ (setadjoin @ X2152 @ emptyset)))&((~(in @ X2155 @ X2153)|~(X2154 @ X2155)|(((dsetconstr @ X2153 @ X2154)!=(emptyset))|~($true)))&((~(in @ X2157 @ emptyset)|(X2156 @ X2157))&((((in @ (esk20_2 @ X2158 @ X2159) @ X2158)|(~(in @ X2160 @ X2158)|(X2159 @ X2160)))&(~(X2159 @ (esk20_2 @ X2158 @ X2159))|(~(in @ X2160 @ X2158)|(X2159 @ X2160))))&((((in @ (esk21_2 @ X2162 @ X2163) @ X2162)|(~(in @ X2165 @ X2162)|~(X2163 @ X2165)))&((X2163 @ (esk21_2 @ X2162 @ X2163))|(~(in @ X2165 @ X2162)|~(X2163 @ X2165))))&((((in @ (esk22_2 @ X2166 @ X2167) @ X2166)|(~(in @ X2169 @ X2166)|~(X2167 @ X2169)))&((X2167 @ (esk22_2 @ X2166 @ X2167))|(~(in @ X2169 @ X2166)|~(X2167 @ X2169))))&((((in @ (esk23_2 @ X2170 @ X2171) @ X2170)|(~(in @ X2172 @ X2170)|(X2171 @ X2172)))&(~(X2171 @ (esk23_2 @ X2170 @ X2171))|(~(in @ X2172 @ X2170)|(X2171 @ X2172))))&((~(X2174)|(in @ emptyset @ (prop2set @ ((X2174)))))&((prop2set2propI)&((((in @ (esk24_2 @ X2175 @ X2176) @ X2175)|(~(in @ X2178 @ X2175)|~(X2176 @ X2178)))&((X2176 @ (esk24_2 @ X2175 @ X2176))|(~(in @ X2178 @ X2175)|~(X2176 @ X2178))))&((((in @ (esk25_2 @ X2179 @ X2180) @ X2179)|(~(in @ X2181 @ X2179)|(X2180 @ X2181)))&(~(X2180 @ (esk25_2 @ X2179 @ X2180))|(~(in @ X2181 @ X2179)|(X2180 @ X2181))))&((((X2183 @ (esk26_2 @ X2183 @ X2184))|~(X2183 @ X2184)|(exu @ X2183))&(((X2184)!=(esk26_2 @ X2183 @ X2184))|~(X2183 @ X2184)|(exu @ X2183)))&((((X2186 @ (esk27_1 @ X2186))|(exu @ X2186)|~(X2186 @ X2187))&(((X2186 @ (esk28_1 @ X2186))|(exu @ X2186)|~(X2186 @ X2187))&(((esk27_1 @ X2186)!=(esk28_1 @ X2186))|(exu @ X2186)|~(X2186 @ X2187))))&(((~(X2190 @ (esk29_2 @ X2190 @ X2191))|((esk29_2 @ X2190 @ X2191)!=(X2191))|(exu @ X2190))&((X2190 @ (esk29_2 @ X2190 @ X2191))|((esk29_2 @ X2190 @ X2191)=(X2191))|(exu @ X2190)))&((((X2193)!=(X2194))|(((X2195)!=(X2196))|(~(in @ X2195 @ X2193)|(in @ X2196 @ X2194))))&(((~(in @ X2199 @ X2197)|(in @ X2200 @ X2198)|((X2199)!=(X2200))|((X2197)!=(X2198)))&(~(in @ X2200 @ X2198)|(in @ X2199 @ X2197)|((X2199)!=(X2200))|((X2197)!=(X2198))))&((~(exu @ X2201)|(~(X2201 @ X2202)|(~(X2201 @ X2203)|((X2202)=(X2203)))))&((((~(exu @ X2204)|(exu @ X2205)|((esk30_2 @ X2204 @ X2205)=(esk31_2 @ X2204 @ X2205)))&(~(exu @ X2205)|(exu @ X2204)|((esk30_2 @ X2204 @ X2205)=(esk31_2 @ X2204 @ X2205))))&(((~(exu @ X2204)|(exu @ X2205)|(~(X2204 @ (esk30_2 @ X2204 @ X2205))|~(X2205 @ (esk31_2 @ X2204 @ X2205))))&(~(exu @ X2205)|(exu @ X2204)|(~(X2204 @ (esk30_2 @ X2204 @ X2205))|~(X2205 @ (esk31_2 @ X2204 @ X2205)))))&((~(exu @ X2204)|(exu @ X2205)|((X2204 @ (esk30_2 @ X2204 @ X2205))|(X2205 @ (esk31_2 @ X2204 @ X2205))))&(~(exu @ X2205)|(exu @ X2204)|((X2204 @ (esk30_2 @ X2204 @ X2205))|(X2205 @ (esk31_2 @ X2204 @ X2205)))))))&(((emptyset)=(emptyset))&((((X2208)!=(X2209))|(((X2210)!=(X2211))|((setadjoin @ X2208 @ X2210)=(setadjoin @ X2209 @ X2211))))&((((X2212)!=(X2213))|((powerset @ X2212)=(powerset @ X2213)))&((((X2214)!=(X2215))|((setunion @ X2214)=(setunion @ X2215)))&(((omega)=(omega))&((~(exu @ X2216)|(~(X2216 @ X2217)|(~(X2216 @ X2218)|((X2217)=(X2218)))))&(((((esk32_2 @ X2219 @ X2220)=(esk33_2 @ X2219 @ X2220))|(~(exu @ X2219)|(~(exu @ X2220)|((descr @ X2219)=(descr @ X2220)))))&((~(X2219 @ (esk32_2 @ X2219 @ X2220))|~(X2220 @ (esk33_2 @ X2219 @ X2220))|(~(exu @ X2219)|(~(exu @ X2220)|((descr @ X2219)=(descr @ X2220)))))&((X2219 @ (esk32_2 @ X2219 @ X2220))|(X2220 @ (esk33_2 @ X2219 @ X2220))|(~(exu @ X2219)|(~(exu @ X2220)|((descr @ X2219)=(descr @ X2220)))))))&((((in @ (esk34_4 @ X2223 @ X2224 @ X2225 @ X2226) @ X2223)|((dsetconstr @ X2223 @ X2225)=(dsetconstr @ X2224 @ X2226))|((X2223)!=(X2224)))&(((in @ (esk35_4 @ X2223 @ X2224 @ X2225 @ X2226) @ X2224)|((dsetconstr @ X2223 @ X2225)=(dsetconstr @ X2224 @ X2226))|((X2223)!=(X2224)))&((((esk34_4 @ X2223 @ X2224 @ X2225 @ X2226)=(esk35_4 @ X2223 @ X2224 @ X2225 @ X2226))|((dsetconstr @ X2223 @ X2225)=(dsetconstr @ X2224 @ X2226))|((X2223)!=(X2224)))&((~(X2225 @ (esk34_4 @ X2223 @ X2224 @ X2225 @ X2226))|~(X2226 @ (esk35_4 @ X2223 @ X2224 @ X2225 @ X2226))|((dsetconstr @ X2223 @ X2225)=(dsetconstr @ X2224 @ X2226))|((X2223)!=(X2224)))&((X2225 @ (esk34_4 @ X2223 @ X2224 @ X2225 @ X2226))|(X2226 @ (esk35_4 @ X2223 @ X2224 @ X2225 @ X2226))|((dsetconstr @ X2223 @ X2225)=(dsetconstr @ X2224 @ X2226))|((X2223)!=(X2224)))))))&((((in @ (esk36_2 @ X2229 @ X2230) @ X2229)|(subset @ X2229 @ X2230))&(~(in @ (esk36_2 @ X2229 @ X2230) @ X2230)|(subset @ X2229 @ X2230)))&((((X2232)!=(X2233))|(subset @ X2233 @ X2232))&((((X2234)!=(X2235))|(subset @ X2234 @ X2235))&((((in @ (esk37_2 @ X2236 @ X2237) @ X2236)|(subset @ X2236 @ X2237))&(~(in @ (esk37_2 @ X2236 @ X2237) @ X2237)|(subset @ X2236 @ X2237)))&((subset @ emptyset @ X2239)&((~(subset @ X2240 @ X2241)|(~(in @ X2242 @ X2240)|(in @ X2242 @ X2241)))&((~(subset @ X2243 @ X2244)|((in @ X2245 @ X2244)|~(in @ X2245 @ X2243)))&((~(in @ X2248 @ X2246)|((in @ X2248 @ X2247)|~(subset @ X2246 @ X2247)))&(((subset @ X2249 @ X2250)|((X2249)!=(X2250)))&((~(in @ X2253 @ X2251)|((in @ X2253 @ X2252)|((X2251)!=(X2252))))&((subset @ X2254 @ X2254)&((~(subset @ X2255 @ X2256)|(~(subset @ X2256 @ X2257)|(subset @ X2255 @ X2257)))&((subset @ X2259 @ (setadjoin @ X2258 @ X2259))&((~(subset @ X2260 @ X2262)|(subset @ X2260 @ (setadjoin @ X2261 @ X2262)))&((~(subset @ X2263 @ X2264)|(in @ X2263 @ (powerset @ X2264)))&((~(subset @ X2265 @ X2266)|(~(subset @ X2266 @ X2265)|((X2265)=(X2266))))&((~(subset @ X2267 @ emptyset)|((X2267)=(emptyset)))&((~(subset @ X2269 @ X2268)|(in @ X2269 @ (powerset @ X2268)))&((~(in @ X2271 @ (powerset @ X2270))|(subset @ X2271 @ X2270))&((in @ X2272 @ (powerset @ X2272))&((~(subset @ X2273 @ X2274)|(subset @ (powerset @ X2273) @ (powerset @ X2274)))&((in @ (dsetconstr @ X2275 @ X2276) @ (powerset @ X2275))&((subset @ (dsetconstr @ X2277 @ X2278) @ X2277)&((~(in @ X2281 @ X2279)|(in @ X2281 @ (binunion @ X2279 @ X2280)))&((in @ X2283 @ (setadjoin @ X2282 @ (setadjoin @ X2283 @ emptyset)))&((~(in @ X2286 @ X2285)|(in @ X2286 @ (binunion @ X2284 @ X2285)))&(((((in @ X2289 @ X2288)|(X2290)|(in @ X2289 @ X2287)|~(in @ X2289 @ (binunion @ X2287 @ X2288)))&(~(X2290)|(X2290)|(in @ X2289 @ X2287)|~(in @ X2289 @ (binunion @ X2287 @ X2288))))&(((in @ X2289 @ X2288)|(X2290)|~(X2290)|~(in @ X2289 @ (binunion @ X2287 @ X2288)))&(~(X2290)|(X2290)|~(X2290)|~(in @ X2289 @ (binunion @ X2287 @ X2288)))))&((~(in @ X2293 @ (binunion @ X2291 @ X2292))|((in @ X2293 @ X2291)|(in @ X2293 @ X2292)))&((subset @ X2294 @ (binunion @ X2294 @ X2295))&((subset @ X2297 @ (binunion @ X2296 @ X2297))&((~(in @ X2300 @ X2298)|(~(in @ X2300 @ X2299)|(in @ X2300 @ (binintersect @ X2298 @ X2299))))&((~(subset @ X2303 @ X2301)|(~(subset @ X2303 @ X2302)|(subset @ X2303 @ (binintersect @ X2301 @ X2302))))&((~(in @ X2306 @ (binintersect @ X2304 @ X2305))|(in @ X2306 @ X2304))&((subset @ (binintersect @ X2307 @ X2308) @ X2307)&((~(subset @ X2309 @ X2310)|((binintersect @ X2309 @ X2310)=(X2309)))&((((binintersect @ X2311 @ X2312)!=(X2312))|(subset @ X2312 @ X2311))&((~(in @ X2315 @ (binintersect @ X2313 @ X2314))|(in @ X2315 @ X2314))&((((in @ (esk38_2 @ X2316 @ X2317) @ X2316)|((binintersect @ X2316 @ X2317)=(emptyset)))&((in @ (esk38_2 @ X2316 @ X2317) @ X2317)|((binintersect @ X2316 @ X2317)=(emptyset))))&((subset @ (binintersect @ X2319 @ X2320) @ X2320)&((~(subset @ X2322 @ X2321)|((binintersect @ X2321 @ X2322)=(X2322)))&((((binintersect @ X2323 @ X2324)!=(X2323))|(subset @ X2323 @ X2324))&(((binintersect @ X2325 @ (binunion @ X2326 @ X2327))=(binunion @ (binintersect @ X2325 @ X2326) @ (binintersect @ X2325 @ X2327)))&((~(in @ X2330 @ X2328)|((in @ X2330 @ X2329)|(in @ X2330 @ (setminus @ X2328 @ X2329))))&((~(in @ X2333 @ (setminus @ X2331 @ X2332))|(in @ X2333 @ X2331))&((~(in @ X2336 @ (setminus @ X2334 @ X2335))|~(in @ X2336 @ X2335))&((~(subset @ X2337 @ X2338)|((setminus @ X2337 @ X2338)=(emptyset)))&(((in @ X2341 @ (setminus @ X2339 @ X2340))|(~(in @ X2341 @ X2339)|(in @ X2341 @ X2340)))&(((in @ X2344 @ (setminus @ X2342 @ X2343))|((in @ X2344 @ X2343)|~(in @ X2344 @ X2342)))&(((in @ X2347 @ X2345)|~(in @ X2347 @ (setminus @ X2345 @ X2346)))&((~(in @ X2350 @ X2349)|~(in @ X2350 @ (setminus @ X2348 @ X2349)))&((subset @ (setminus @ X2351 @ X2352) @ X2351)&((((setminus @ X2353 @ X2354)!=(emptyset))|(subset @ X2353 @ X2354))&((((~(in @ X2357 @ X2355)|(X2358)|(in @ X2357 @ X2355)|~(in @ X2357 @ (symdiff @ X2355 @ X2356)))&(((in @ X2357 @ X2356)|(X2358)|(in @ X2357 @ X2355)|~(in @ X2357 @ (symdiff @ X2355 @ X2356)))&(~(X2358)|(X2358)|(in @ X2357 @ X2355)|~(in @ X2357 @ (symdiff @ X2355 @ X2356)))))&(((~(in @ X2357 @ X2355)|(X2358)|~(in @ X2357 @ X2356)|~(in @ X2357 @ (symdiff @ X2355 @ X2356)))&(((in @ X2357 @ X2356)|(X2358)|~(in @ X2357 @ X2356)|~(in @ X2357 @ (symdiff @ X2355 @ X2356)))&(~(X2358)|(X2358)|~(in @ X2357 @ X2356)|~(in @ X2357 @ (symdiff @ X2355 @ X2356)))))&((~(in @ X2357 @ X2355)|(X2358)|~(X2358)|~(in @ X2357 @ (symdiff @ X2355 @ X2356)))&(((in @ X2357 @ X2356)|(X2358)|~(X2358)|~(in @ X2357 @ (symdiff @ X2355 @ X2356)))&(~(X2358)|(X2358)|~(X2358)|~(in @ X2357 @ (symdiff @ X2355 @ X2356)))))))&((~(in @ X2361 @ X2359)|((in @ X2361 @ X2360)|(in @ X2361 @ (symdiff @ X2359 @ X2360))))&(((in @ X2364 @ X2362)|(~(in @ X2364 @ X2363)|(in @ X2364 @ (symdiff @ X2362 @ X2363))))&((~(in @ X2367 @ X2365)|(~(in @ X2367 @ X2366)|~(in @ X2367 @ (symdiff @ X2365 @ X2366))))&(((in @ X2370 @ X2368)|((in @ X2370 @ X2369)|~(in @ X2370 @ (symdiff @ X2368 @ X2369))))&((in @ X2372 @ (setadjoin @ X2371 @ (setadjoin @ X2372 @ emptyset)))&((in @ X2373 @ (setunion @ (setadjoin @ (setadjoin @ X2373 @ emptyset) @ (setadjoin @ (setadjoin @ X2373 @ (setadjoin @ X2374 @ emptyset)) @ emptyset))))&((in @ X2376 @ (setunion @ (setadjoin @ (setadjoin @ X2375 @ emptyset) @ (setadjoin @ (setadjoin @ X2375 @ (setadjoin @ X2376 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X2377 @ emptyset) @ (setadjoin @ (setadjoin @ X2377 @ (setadjoin @ X2378 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X2379 @ X2380))&((~(in @ X2382 @ X2381)|(subset @ (setadjoin @ X2382 @ emptyset) @ X2381))&((~(in @ X2384 @ X2383)|(in @ (setadjoin @ X2384 @ emptyset) @ (powerset @ X2383)))&((~(in @ X2387 @ X2385)|(in @ (setadjoin @ X2387 @ emptyset) @ (powerset @ (binunion @ X2385 @ X2386))))&((~(in @ X2390 @ (setadjoin @ X2388 @ (setadjoin @ X2389 @ emptyset)))|(((X2390)=(X2388))|((X2390)=(X2389))))&((~(in @ X2393 @ X2391)|(~(in @ X2394 @ X2392)|(subset @ (setadjoin @ X2393 @ (setadjoin @ X2394 @ emptyset)) @ (binunion @ X2391 @ X2392))))&((~(in @ X2397 @ X2395)|(~(in @ X2398 @ X2396)|(in @ (setadjoin @ X2397 @ (setadjoin @ X2398 @ emptyset)) @ (powerset @ (binunion @ X2395 @ X2396)))))&((~(in @ X2401 @ X2399)|(~(in @ X2402 @ X2400)|(subset @ (setadjoin @ (setadjoin @ X2401 @ emptyset) @ (setadjoin @ (setadjoin @ X2401 @ (setadjoin @ X2402 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X2399 @ X2400)))))&((~(in @ X2405 @ X2403)|(~(in @ X2406 @ X2404)|(in @ (setadjoin @ (setadjoin @ X2405 @ emptyset) @ (setadjoin @ (setadjoin @ X2405 @ (setadjoin @ X2406 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X2403 @ X2404))))))&((~(in @ X2409 @ X2407)|(~(in @ X2410 @ X2408)|(in @ (kpair @ X2409 @ X2410) @ (powerset @ (powerset @ (binunion @ X2407 @ X2408))))))&((~(in @ X2413 @ X2411)|(~(in @ X2414 @ X2412)|(in @ (kpair @ X2413 @ X2414) @ (cartprod @ X2411 @ X2412))))&((((in @ (esk39_3 @ X2415 @ X2416 @ X2417) @ X2415)|~(in @ X2417 @ (cartprod @ X2415 @ X2416)))&(((in @ (esk40_3 @ X2415 @ X2416 @ X2417) @ X2416)|~(in @ X2417 @ (cartprod @ X2415 @ X2416)))&(((X2417)=(kpair @ (esk39_3 @ X2415 @ X2416 @ X2417) @ (esk40_3 @ X2415 @ X2416 @ X2417)))|~(in @ X2417 @ (cartprod @ X2415 @ X2416)))))&((~(in @ X2422 @ (cartprod @ X2420 @ X2421))|(iskpair @ X2422))&((((in @ (esk41_2 @ X2423 @ X2424) @ X2423)|~(in @ X2424 @ (setunion @ X2423)))&((in @ X2424 @ (esk41_2 @ X2423 @ X2424))|~(in @ X2424 @ (setunion @ X2423))))&((subset @ (setunion @ (setadjoin @ X2426 @ emptyset)) @ X2426)&((subset @ X2427 @ (setunion @ (setadjoin @ X2427 @ emptyset)))&(((setunion @ (setadjoin @ X2428 @ emptyset))=(X2428))&((((in @ (esk42_2 @ X2429 @ X2430) @ X2429)|(~(in @ X2433 @ X2429)|~(X2430 @ X2433)|(singleton @ (dsetconstr @ X2429 @ X2430))))&(((in @ (esk43_2 @ X2429 @ X2430) @ X2429)|(~(in @ X2433 @ X2429)|~(X2430 @ X2433)|(singleton @ (dsetconstr @ X2429 @ X2430))))&(((X2430 @ (esk42_2 @ X2429 @ X2430))|(~(in @ X2433 @ X2429)|~(X2430 @ X2433)|(singleton @ (dsetconstr @ X2429 @ X2430))))&(((X2430 @ (esk43_2 @ X2429 @ X2430))|(~(in @ X2433 @ X2429)|~(X2430 @ X2433)|(singleton @ (dsetconstr @ X2429 @ X2430))))&(((esk42_2 @ X2429 @ X2430)!=(esk43_2 @ X2429 @ X2430))|(~(in @ X2433 @ X2429)|~(X2430 @ X2433)|(singleton @ (dsetconstr @ X2429 @ X2430))))))))&((((in @ (esk44_2 @ X2434 @ X2435) @ X2434)|~(ex1 @ X2434 @ X2435))&((X2435 @ (esk44_2 @ X2434 @ X2435))|~(ex1 @ X2434 @ X2435)))&((((in @ (esk45_3 @ X2437 @ X2438 @ X2439) @ X2437)|(ex1 @ X2437 @ X2438)|~(X2438 @ X2439)|~(in @ X2439 @ X2437))&(((X2438 @ (esk45_3 @ X2437 @ X2438 @ X2439))|(ex1 @ X2437 @ X2438)|~(X2438 @ X2439)|~(in @ X2439 @ X2437))&(((esk45_3 @ X2437 @ X2438 @ X2439)!=(X2439))|(ex1 @ X2437 @ X2438)|~(X2438 @ X2439)|~(in @ X2439 @ X2437))))&((((in @ (esk46_2 @ X2441 @ X2442) @ X2441)|(~(in @ X2445 @ X2441)|~(X2442 @ X2445)|(ex1 @ X2441 @ X2442)))&(((in @ (esk47_2 @ X2441 @ X2442) @ X2441)|(~(in @ X2445 @ X2441)|~(X2442 @ X2445)|(ex1 @ X2441 @ X2442)))&(((X2442 @ (esk46_2 @ X2441 @ X2442))|(~(in @ X2445 @ X2441)|~(X2442 @ X2445)|(ex1 @ X2441 @ X2442)))&(((X2442 @ (esk47_2 @ X2441 @ X2442))|(~(in @ X2445 @ X2441)|~(X2442 @ X2445)|(ex1 @ X2441 @ X2442)))&(((esk46_2 @ X2441 @ X2442)!=(esk47_2 @ X2441 @ X2442))|(~(in @ X2445 @ X2441)|~(X2442 @ X2445)|(ex1 @ X2441 @ X2442)))))))&((((setadjoin @ X2446 @ emptyset)!=(setadjoin @ X2447 @ emptyset))|((X2446)=(X2447)))&((~(in @ (setadjoin @ X2450 @ emptyset) @ (setadjoin @ (setadjoin @ X2448 @ emptyset) @ (setadjoin @ (setadjoin @ X2448 @ (setadjoin @ X2449 @ emptyset)) @ emptyset)))|((X2448)=(X2450)))&((~(iskpair @ X2451)|(singleton @ (dsetconstr @ (setunion @ X2451) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X2451))))))&((~(singleton @ X2452)|(in @ (setunion @ X2452) @ X2452))&(((kfst @ (kpair @ X2453 @ X2454))=(X2453))&((~(in @ X2457 @ (cartprod @ X2455 @ X2456))|(in @ (kfst @ X2457) @ X2455))&((((setadjoin @ (setadjoin @ X2458 @ emptyset) @ (setadjoin @ (setadjoin @ X2458 @ (setadjoin @ X2459 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2460 @ emptyset) @ (setadjoin @ (setadjoin @ X2460 @ (setadjoin @ X2461 @ emptyset)) @ emptyset)))|((X2458)=(X2460)))&((((kpair @ X2462 @ X2463)!=(kpair @ X2464 @ X2465))|((X2462)=(X2464)))&((((X2466)!=(X2467))|((setadjoin @ X2466 @ (setadjoin @ X2467 @ emptyset))=(setadjoin @ X2466 @ emptyset)))&((((X2468)!=(X2469))|((setadjoin @ (setadjoin @ X2468 @ emptyset) @ (setadjoin @ (setadjoin @ X2468 @ (setadjoin @ X2469 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2468 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X2470 @ emptyset) @ (setadjoin @ (setadjoin @ X2470 @ (setadjoin @ X2471 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2472 @ emptyset) @ (setadjoin @ (setadjoin @ X2472 @ (setadjoin @ X2473 @ emptyset)) @ emptyset)))|(((X2472)!=(X2473))|((X2471)=(X2473))))&((((setadjoin @ X2474 @ (setadjoin @ X2475 @ emptyset))!=(setadjoin @ X2476 @ emptyset))|((X2474)=(X2475)))&((((setadjoin @ (setadjoin @ X2477 @ emptyset) @ (setadjoin @ (setadjoin @ X2477 @ (setadjoin @ X2478 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2479 @ emptyset) @ (setadjoin @ (setadjoin @ X2479 @ (setadjoin @ X2480 @ emptyset)) @ emptyset)))|((X2478)=(X2480)))&((((kpair @ X2481 @ X2482)!=(kpair @ X2483 @ X2484))|((X2482)=(X2484)))&((~(iskpair @ X2485)|(singleton @ (dsetconstr @ (setunion @ X2485) @ (^[Z0:$i]:(((X2485)=(kpair @ (kfst @ X2485) @ Z0)))))))&(((ksnd @ (kpair @ X2486 @ X2487))=(X2487))&((~(iskpair @ X2488)|((kpair @ (kfst @ X2488) @ (ksnd @ X2488))=(X2488)))&((~(in @ X2491 @ (cartprod @ X2489 @ X2490))|(in @ (ksnd @ X2491) @ X2490))&((~(in @ (kpair @ X2494 @ X2495) @ (cartprod @ X2492 @ X2493))|(in @ X2494 @ X2492))&((~(in @ (kpair @ X2498 @ X2499) @ (cartprod @ X2496 @ X2497))|(in @ X2499 @ X2497))&((~(in @ X2502 @ X2500)|(~(in @ X2503 @ X2501)|((kpair @ X2502 @ X2503)=(kpair @ X2502 @ X2503))))&((~(in @ X2506 @ X2504)|(~(in @ X2507 @ X2505)|((kfst @ (kpair @ X2506 @ X2507))=(X2506))))&((~(in @ X2510 @ X2508)|(~(in @ X2511 @ X2509)|((ksnd @ (kpair @ X2510 @ X2511))=(X2511))))&((~(in @ X2514 @ (cartprod @ X2512 @ X2513))|((kpair @ (kfst @ X2514) @ (ksnd @ X2514))=(X2514)))&((~(in @ X2518 @ X2515)|(~(in @ X2519 @ X2516)|(~(X2517 @ X2518 @ X2519)|(in @ (kpair @ X2518 @ X2519) @ (dpsetconstr @ X2515 @ X2516 @ X2517)))))&((subset @ (dpsetconstr @ X2520 @ X2521 @ X2522) @ (cartprod @ X2520 @ X2521))&((breln @ X2523 @ X2524 @ (dpsetconstr @ X2523 @ X2524 @ X2525))&((~(in @ X2529 @ X2526)|(~(in @ X2530 @ X2527)|(~(in @ (kpair @ X2529 @ X2530) @ (dpsetconstr @ X2526 @ X2527 @ X2528))|(X2528 @ X2529 @ X2530))))&((~(in @ (kpair @ X2534 @ X2535) @ (dpsetconstr @ X2531 @ X2532 @ X2533))|(in @ X2534 @ X2531))&((~(in @ (kpair @ X2539 @ X2540) @ (dpsetconstr @ X2536 @ X2537 @ X2538))|(in @ X2540 @ X2537))&((~(in @ (kpair @ X2544 @ X2545) @ (dpsetconstr @ X2541 @ X2542 @ X2543))|(X2543 @ X2544 @ X2545))&((~(func @ X2546 @ X2547 @ X2548)|(~(in @ X2549 @ X2546)|(singleton @ (dsetconstr @ X2547 @ (^[Z0:$i]:((in @ (kpair @ X2549 @ Z0) @ X2548)))))))&((~(func @ X2550 @ X2551 @ X2552)|(~(in @ X2553 @ X2550)|(in @ (setunion @ (dsetconstr @ X2551 @ (^[Z0:$i]:((in @ (kpair @ X2553 @ Z0) @ X2552))))) @ X2551)))&((~(func @ X2554 @ X2555 @ X2556)|(~(in @ X2557 @ X2554)|(in @ (ap @ X2554 @ X2555 @ X2556 @ X2557) @ X2555)))&((~(in @ X2560 @ (funcSet @ X2558 @ X2559))|(func @ X2558 @ X2559 @ X2560))&((~(in @ X2563 @ (funcSet @ X2561 @ X2562))|(~(in @ X2564 @ X2561)|(in @ (ap @ X2561 @ X2562 @ X2563 @ X2564) @ X2562)))&((~(func @ X2565 @ X2566 @ X2567)|(in @ X2567 @ (funcSet @ X2565 @ X2566)))&((((in @ (esk48_3 @ X2568 @ X2569 @ X2570) @ X2568)|(func @ X2568 @ X2569 @ (dpsetconstr @ X2568 @ X2569 @ (^[Z0:$i]:($eq @ (X2570 @ Z0))))))&(~(in @ (X2570 @ (esk48_3 @ X2568 @ X2569 @ X2570)) @ X2569)|(func @ X2568 @ X2569 @ (dpsetconstr @ X2568 @ X2569 @ (^[Z0:$i]:($eq @ (X2570 @ Z0)))))))&((((in @ (esk49_3 @ X2572 @ X2573 @ X2574) @ X2572)|(func @ X2572 @ X2573 @ (lam @ X2572 @ X2573 @ X2574)))&(~(in @ (X2574 @ (esk49_3 @ X2572 @ X2573 @ X2574)) @ X2573)|(func @ X2572 @ X2573 @ (lam @ X2572 @ X2573 @ X2574))))&((((in @ (esk50_3 @ X2576 @ X2577 @ X2578) @ X2576)|(in @ (lam @ X2576 @ X2577 @ X2578) @ (funcSet @ X2576 @ X2577)))&(~(in @ (X2578 @ (esk50_3 @ X2576 @ X2577 @ X2578)) @ X2577)|(in @ (lam @ X2576 @ X2577 @ X2578) @ (funcSet @ X2576 @ X2577))))&((((in @ (esk51_4 @ X2580 @ X2581 @ X2582 @ X2583) @ X2580)|(~(in @ X2586 @ X2582)|(X2583 @ X2586))|~(breln @ X2580 @ X2581 @ X2582))&(((in @ (esk52_4 @ X2580 @ X2581 @ X2582 @ X2583) @ X2581)|(~(in @ X2586 @ X2582)|(X2583 @ X2586))|~(breln @ X2580 @ X2581 @ X2582))&(((in @ (kpair @ (esk51_4 @ X2580 @ X2581 @ X2582 @ X2583) @ (esk52_4 @ X2580 @ X2581 @ X2582 @ X2583)) @ X2582)|(~(in @ X2586 @ X2582)|(X2583 @ X2586))|~(breln @ X2580 @ X2581 @ X2582))&(~(X2583 @ (kpair @ (esk51_4 @ X2580 @ X2581 @ X2582 @ X2583) @ (esk52_4 @ X2580 @ X2581 @ X2582 @ X2583)))|(~(in @ X2586 @ X2582)|(X2583 @ X2586))|~(breln @ X2580 @ X2581 @ X2582)))))&((((in @ (esk53_4 @ X2587 @ X2588 @ X2589 @ X2590) @ X2587)|(~(in @ X2593 @ X2589)|(X2590 @ X2593))|~(breln @ X2587 @ X2588 @ X2589))&(((in @ (esk54_4 @ X2587 @ X2588 @ X2589 @ X2590) @ X2588)|(~(in @ X2593 @ X2589)|(X2590 @ X2593))|~(breln @ X2587 @ X2588 @ X2589))&(((in @ (kpair @ (esk53_4 @ X2587 @ X2588 @ X2589 @ X2590) @ (esk54_4 @ X2587 @ X2588 @ X2589 @ X2590)) @ X2589)|(~(in @ X2593 @ X2589)|(X2590 @ X2593))|~(breln @ X2587 @ X2588 @ X2589))&(~(X2590 @ (kpair @ (esk53_4 @ X2587 @ X2588 @ X2589 @ X2590) @ (esk54_4 @ X2587 @ X2588 @ X2589 @ X2590)))|(~(in @ X2593 @ X2589)|(X2590 @ X2593))|~(breln @ X2587 @ X2588 @ X2589)))))&((~(ex1 @ X2594 @ X2595)|(~(in @ X2596 @ X2594)|(~(in @ X2597 @ X2594)|(~(X2595 @ X2596)|(~(X2595 @ X2597)|((X2596)=(X2597)))))))&((~(func @ X2598 @ X2599 @ X2600)|(~(in @ X2601 @ X2598)|(in @ (kpair @ X2601 @ (ap @ X2598 @ X2599 @ X2600 @ X2601)) @ X2600)))&((~(in @ X2604 @ (funcSet @ X2602 @ X2603))|(~(in @ X2605 @ X2602)|(in @ (kpair @ X2605 @ (ap @ X2602 @ X2603 @ X2604 @ X2605)) @ X2604)))&((~(func @ X2606 @ X2607 @ X2608)|(~(in @ X2609 @ X2606)|(~(in @ X2610 @ X2607)|(~(in @ (kpair @ X2609 @ X2610) @ X2608)|((ap @ X2606 @ X2607 @ X2608 @ X2609)=(X2610))))))&((((in @ (esk55_4 @ X2611 @ X2612 @ X2613 @ X2614) @ X2611)|(~(in @ X2616 @ X2611)|(~(in @ X2617 @ X2612)|(~(in @ (kpair @ X2616 @ X2617) @ X2614)|(in @ (kpair @ X2616 @ X2617) @ X2613))))|~(func @ X2611 @ X2612 @ X2614)|~(func @ X2611 @ X2612 @ X2613))&(((ap @ X2611 @ X2612 @ X2613 @ (esk55_4 @ X2611 @ X2612 @ X2613 @ X2614))!=(ap @ X2611 @ X2612 @ X2614 @ (esk55_4 @ X2611 @ X2612 @ X2613 @ X2614)))|(~(in @ X2616 @ X2611)|(~(in @ X2617 @ X2612)|(~(in @ (kpair @ X2616 @ X2617) @ X2614)|(in @ (kpair @ X2616 @ X2617) @ X2613))))|~(func @ X2611 @ X2612 @ X2614)|~(func @ X2611 @ X2612 @ X2613)))&((~(in @ X2620 @ (funcSet @ X2618 @ X2619))|(~(in @ X2621 @ X2618)|(~(in @ X2622 @ X2619)|(~(in @ (kpair @ X2621 @ X2622) @ X2620)|((ap @ X2618 @ X2619 @ X2620 @ X2621)=(X2622))))))&((((in @ (esk56_4 @ X2623 @ X2624 @ X2625 @ X2626) @ X2623)|(subset @ X2625 @ X2626)|~(breln @ X2623 @ X2624 @ X2626)|~(breln @ X2623 @ X2624 @ X2625))&(((in @ (esk57_4 @ X2623 @ X2624 @ X2625 @ X2626) @ X2624)|(subset @ X2625 @ X2626)|~(breln @ X2623 @ X2624 @ X2626)|~(breln @ X2623 @ X2624 @ X2625))&(((in @ (kpair @ (esk56_4 @ X2623 @ X2624 @ X2625 @ X2626) @ (esk57_4 @ X2623 @ X2624 @ X2625 @ X2626)) @ X2625)|(subset @ X2625 @ X2626)|~(breln @ X2623 @ X2624 @ X2626)|~(breln @ X2623 @ X2624 @ X2625))&(~(in @ (kpair @ (esk56_4 @ X2623 @ X2624 @ X2625 @ X2626) @ (esk57_4 @ X2623 @ X2624 @ X2625 @ X2626)) @ X2626)|(subset @ X2625 @ X2626)|~(breln @ X2623 @ X2624 @ X2626)|~(breln @ X2623 @ X2624 @ X2625)))))&(((((in @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2629)|((X2631)=(X2632))|(in @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2629)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(((in @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2630)|((X2631)=(X2632))|(in @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2629)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(((in @ (kpair @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2632)|((X2631)=(X2632))|(in @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2629)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(~(in @ (kpair @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2631)|((X2631)=(X2632))|(in @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2629)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631)))))&((((in @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2629)|((X2631)=(X2632))|(in @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2630)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(((in @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2630)|((X2631)=(X2632))|(in @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2630)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(((in @ (kpair @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2632)|((X2631)=(X2632))|(in @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2630)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(~(in @ (kpair @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2631)|((X2631)=(X2632))|(in @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2630)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631)))))&((((in @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2629)|((X2631)=(X2632))|(in @ (kpair @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2631)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(((in @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2630)|((X2631)=(X2632))|(in @ (kpair @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2631)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(((in @ (kpair @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2632)|((X2631)=(X2632))|(in @ (kpair @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2631)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(~(in @ (kpair @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2631)|((X2631)=(X2632))|(in @ (kpair @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2631)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631)))))&(((in @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2629)|((X2631)=(X2632))|~(in @ (kpair @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2632)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(((in @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632) @ X2630)|((X2631)=(X2632))|~(in @ (kpair @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2632)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(((in @ (kpair @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2632)|((X2631)=(X2632))|~(in @ (kpair @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2632)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))&(~(in @ (kpair @ (esk60_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk61_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2631)|((X2631)=(X2632))|~(in @ (kpair @ (esk58_4 @ X2629 @ X2630 @ X2631 @ X2632) @ (esk59_4 @ X2629 @ X2630 @ X2631 @ X2632)) @ X2632)|~(breln @ X2629 @ X2630 @ X2632)|~(breln @ X2629 @ X2630 @ X2631))))))))&((((in @ (esk62_4 @ X2637 @ X2638 @ X2639 @ X2640) @ X2637)|((X2639)=(X2640))|~(func @ X2637 @ X2638 @ X2640)|~(func @ X2637 @ X2638 @ X2639))&(((ap @ X2637 @ X2638 @ X2639 @ (esk62_4 @ X2637 @ X2638 @ X2639 @ X2640))!=(ap @ X2637 @ X2638 @ X2640 @ (esk62_4 @ X2637 @ X2638 @ X2639 @ X2640)))|((X2639)=(X2640))|~(func @ X2637 @ X2638 @ X2640)|~(func @ X2637 @ X2638 @ X2639)))&((((in @ (esk63_4 @ X2642 @ X2643 @ X2644 @ X2645) @ X2642)|((X2644)=(X2645))|~(in @ X2645 @ (funcSet @ X2642 @ X2643))|~(in @ X2644 @ (funcSet @ X2642 @ X2643)))&(((ap @ X2642 @ X2643 @ X2644 @ (esk63_4 @ X2642 @ X2643 @ X2644 @ X2645))!=(ap @ X2642 @ X2643 @ X2645 @ (esk63_4 @ X2642 @ X2643 @ X2644 @ X2645)))|((X2644)=(X2645))|~(in @ X2645 @ (funcSet @ X2642 @ X2643))|~(in @ X2644 @ (funcSet @ X2642 @ X2643))))&((~(in @ X2649 @ (funcSet @ X2647 @ X2648))|(~(in @ X2650 @ X2647)|((ap @ X2647 @ X2648 @ X2649 @ X2650)=(ap @ X2647 @ X2648 @ X2649 @ X2650))))&((~(func @ X2651 @ X2652 @ X2653)|(~(in @ X2654 @ X2651)|((ap @ X2651 @ X2652 @ X2653 @ X2654)=(ap @ X2651 @ X2652 @ X2653 @ X2654))))&((((in @ (esk64_3 @ X2655 @ X2656 @ X2657) @ X2655)|(~(in @ X2659 @ X2655)|((ap @ X2655 @ X2656 @ (lam @ X2655 @ X2656 @ X2657) @ X2659)=(X2657 @ X2659))))&(~(in @ (X2657 @ (esk64_3 @ X2655 @ X2656 @ X2657)) @ X2656)|(~(in @ X2659 @ X2655)|((ap @ X2655 @ X2656 @ (lam @ X2655 @ X2656 @ X2657) @ X2659)=(X2657 @ X2659)))))&((~(func @ X2660 @ X2661 @ X2662)|((lam @ X2660 @ X2661 @ (ap @ X2660 @ X2661 @ X2662))=(X2662)))&((((in @ (esk65_3 @ X2663 @ X2664 @ X2665) @ X2663)|((lam @ X2663 @ X2664 @ X2665)=(lam @ X2663 @ X2664 @ X2665)))&(~(in @ (X2665 @ (esk65_3 @ X2663 @ X2664 @ X2665)) @ X2664)|((lam @ X2663 @ X2664 @ X2665)=(lam @ X2663 @ X2664 @ X2665))))&((((in @ (esk66_3 @ X2667 @ X2668 @ X2669) @ X2667)|(~(in @ X2671 @ X2667)|((ap @ X2667 @ X2668 @ (lam @ X2667 @ X2668 @ X2669) @ X2671)=(X2669 @ X2671))))&(~(in @ (X2669 @ (esk66_3 @ X2667 @ X2668 @ X2669)) @ X2668)|(~(in @ X2671 @ X2667)|((ap @ X2667 @ X2668 @ (lam @ X2667 @ X2668 @ X2669) @ X2671)=(X2669 @ X2671)))))&((~(in @ X2674 @ (funcSet @ X2672 @ X2673))|((lam @ X2672 @ X2673 @ (ap @ X2672 @ X2673 @ X2674))=(X2674)))&((~(in @ X2677 @ X2675)|(~(in @ X2678 @ X2675)|((X2676)|(in @ X2678 @ (dsetconstr @ X2675 @ (^[Z0:$i]:((((((X2676))&(((Z0)=(X2677)))))|(((~((X2676)))&(((Z0)=(X2678)))))))))))))&((~(in @ X2681 @ X2679)|(~(in @ X2682 @ X2679)|((X2680)|((dsetconstr @ X2679 @ (^[Z0:$i]:((((((X2680))&(((Z0)=(X2681)))))|(((~((X2680)))&(((Z0)=(X2682)))))))))=(setadjoin @ X2682 @ emptyset)))))&((~(in @ X2685 @ X2683)|(~(in @ X2686 @ X2683)|(~(X2684)|(in @ X2685 @ (dsetconstr @ X2683 @ (^[Z0:$i]:((((((X2684))&(((Z0)=(X2685)))))|(((~((X2684)))&(((Z0)=(X2686)))))))))))))&((~(in @ X2689 @ X2687)|(~(in @ X2690 @ X2687)|(~(X2688)|((dsetconstr @ X2687 @ (^[Z0:$i]:((((((X2688))&(((Z0)=(X2689)))))|(((~((X2688)))&(((Z0)=(X2690)))))))))=(setadjoin @ X2689 @ emptyset)))))&((~(in @ X2693 @ X2691)|(~(in @ X2694 @ X2691)|(singleton @ (dsetconstr @ X2691 @ (^[Z0:$i]:((((((X2692))&(((Z0)=(X2693)))))|(((~((X2692)))&(((Z0)=(X2694))))))))))))&((~(in @ X2697 @ X2695)|(~(in @ X2698 @ X2695)|(in @ (if @ X2695 @ ((X2696)) @ X2697 @ X2698) @ X2695)))&((~(singleton @ X2699)|(~(in @ X2700 @ X2699)|((setunion @ X2699)=(X2700))))&((~(in @ X2703 @ X2701)|(~(in @ X2704 @ X2701)|(~(X2702)|((if @ X2701 @ ((X2702)) @ X2703 @ X2704)=(X2703)))))&((~(in @ X2707 @ X2705)|(~(in @ X2708 @ X2705)|((X2706)|((if @ X2705 @ ((X2706)) @ X2707 @ X2708)=(X2708)))))&((~(in @ X2711 @ X2709)|(~(in @ X2712 @ X2709)|(in @ (if @ X2709 @ ((X2710)) @ X2711 @ X2712) @ (setadjoin @ X2711 @ (setadjoin @ X2712 @ emptyset)))))&((~(in @ X2714 @ (powerset @ X2713))|(~(in @ X2715 @ (powerset @ X2713))|(in @ (binintersect @ X2714 @ X2715) @ (powerset @ X2713))))&((~(in @ X2717 @ (powerset @ X2716))|(~(in @ X2718 @ (powerset @ X2716))|(in @ (binunion @ X2717 @ X2718) @ (powerset @ X2716))))&((~(in @ X2720 @ (powerset @ X2719))|(in @ (powerset @ X2720) @ (powerset @ (powerset @ X2719))))&((~(in @ X2722 @ (powerset @ X2721))|(~(in @ X2723 @ (powerset @ X2721))|(in @ (setminus @ X2722 @ X2723) @ (powerset @ X2721))))&((~(in @ X2725 @ (powerset @ X2724))|(in @ (setminus @ X2724 @ X2725) @ (powerset @ X2724)))&(((((in @ (esk68_3 @ X2726 @ X2727 @ X2728) @ X2726)|((X2727)=(X2728))|(in @ (esk67_3 @ X2726 @ X2727 @ X2728) @ X2726)|~(in @ X2728 @ (powerset @ X2726))|~(in @ X2727 @ (powerset @ X2726)))&(((in @ (esk68_3 @ X2726 @ X2727 @ X2728) @ X2728)|((X2727)=(X2728))|(in @ (esk67_3 @ X2726 @ X2727 @ X2728) @ X2726)|~(in @ X2728 @ (powerset @ X2726))|~(in @ X2727 @ (powerset @ X2726)))&(~(in @ (esk68_3 @ X2726 @ X2727 @ X2728) @ X2727)|((X2727)=(X2728))|(in @ (esk67_3 @ X2726 @ X2727 @ X2728) @ X2726)|~(in @ X2728 @ (powerset @ X2726))|~(in @ X2727 @ (powerset @ X2726)))))&((((in @ (esk68_3 @ X2726 @ X2727 @ X2728) @ X2726)|((X2727)=(X2728))|(in @ (esk67_3 @ X2726 @ X2727 @ X2728) @ X2727)|~(in @ X2728 @ (powerset @ X2726))|~(in @ X2727 @ (powerset @ X2726)))&(((in @ (esk68_3 @ X2726 @ X2727 @ X2728) @ X2728)|((X2727)=(X2728))|(in @ (esk67_3 @ X2726 @ X2727 @ X2728) @ X2727)|~(in @ X2728 @ (powerset @ X2726))|~(in @ X2727 @ (powerset @ X2726)))&(~(in @ (esk68_3 @ X2726 @ X2727 @ X2728) @ X2727)|((X2727)=(X2728))|(in @ (esk67_3 @ X2726 @ X2727 @ X2728) @ X2727)|~(in @ X2728 @ (powerset @ X2726))|~(in @ X2727 @ (powerset @ X2726)))))&(((in @ (esk68_3 @ X2726 @ X2727 @ X2728) @ X2726)|((X2727)=(X2728))|~(in @ (esk67_3 @ X2726 @ X2727 @ X2728) @ X2728)|~(in @ X2728 @ (powerset @ X2726))|~(in @ X2727 @ (powerset @ X2726)))&(((in @ (esk68_3 @ X2726 @ X2727 @ X2728) @ X2728)|((X2727)=(X2728))|~(in @ (esk67_3 @ X2726 @ X2727 @ X2728) @ X2728)|~(in @ X2728 @ (powerset @ X2726))|~(in @ X2727 @ (powerset @ X2726)))&(~(in @ (esk68_3 @ X2726 @ X2727 @ X2728) @ X2727)|((X2727)=(X2728))|~(in @ (esk67_3 @ X2726 @ X2727 @ X2728) @ X2728)|~(in @ X2728 @ (powerset @ X2726))|~(in @ X2727 @ (powerset @ X2726)))))))&((((in @ (esk69_3 @ X2731 @ X2732 @ X2733) @ X2731)|(subset @ X2732 @ X2733)|~(in @ X2733 @ (powerset @ X2731))|~(in @ X2732 @ (powerset @ X2731)))&(((in @ (esk69_3 @ X2731 @ X2732 @ X2733) @ X2732)|(subset @ X2732 @ X2733)|~(in @ X2733 @ (powerset @ X2731))|~(in @ X2732 @ (powerset @ X2731)))&(~(in @ (esk69_3 @ X2731 @ X2732 @ X2733) @ X2733)|(subset @ X2732 @ X2733)|~(in @ X2733 @ (powerset @ X2731))|~(in @ X2732 @ (powerset @ X2731)))))&((((in @ (esk70_3 @ X2735 @ X2736 @ X2737) @ X2735)|(in @ X2736 @ (powerset @ X2737))|~(in @ X2737 @ (powerset @ X2735))|~(in @ X2736 @ (powerset @ X2735)))&(((in @ (esk70_3 @ X2735 @ X2736 @ X2737) @ X2736)|(in @ X2736 @ (powerset @ X2737))|~(in @ X2737 @ (powerset @ X2735))|~(in @ X2736 @ (powerset @ X2735)))&(~(in @ (esk70_3 @ X2735 @ X2736 @ X2737) @ X2737)|(in @ X2736 @ (powerset @ X2737))|~(in @ X2737 @ (powerset @ X2735))|~(in @ X2736 @ (powerset @ X2735)))))&((~(in @ X2740 @ (powerset @ X2739))|(~(in @ X2741 @ (powerset @ X2739))|(~(in @ X2742 @ X2739)|(~(in @ X2740 @ (powerset @ X2741))|(~(in @ X2742 @ X2740)|(in @ X2742 @ X2741))))))&((~(in @ X2744 @ (powerset @ X2743))|(~(in @ X2745 @ X2743)|(~(in @ X2745 @ X2744)|~(in @ X2745 @ (setminus @ X2743 @ X2744)))))&((~(in @ X2747 @ (powerset @ X2746))|(~(in @ X2748 @ X2746)|((in @ X2748 @ (setminus @ X2746 @ X2747))|(in @ X2748 @ X2747))))&((~(in @ X2750 @ (powerset @ X2749))|(~(in @ X2751 @ (powerset @ X2749))|(~(in @ X2752 @ X2749)|((in @ X2752 @ X2750)|~(in @ X2752 @ (binintersect @ X2750 @ X2751))))))&((~(in @ X2754 @ (powerset @ X2753))|(~(in @ X2755 @ (powerset @ X2753))|(~(in @ X2756 @ X2753)|((in @ X2756 @ X2755)|~(in @ X2756 @ (binintersect @ X2754 @ X2755))))))&((~(in @ X2758 @ (powerset @ X2757))|(~(in @ X2759 @ (powerset @ X2757))|(~(in @ X2760 @ X2757)|(~(subset @ X2758 @ (setminus @ X2757 @ X2759))|(~(in @ X2760 @ X2759)|~(in @ X2760 @ X2758))))))&((~(in @ X2762 @ (powerset @ X2761))|(~(in @ X2763 @ (powerset @ X2761))|(~(in @ X2764 @ X2761)|(~(subset @ X2762 @ X2763)|((in @ X2764 @ X2763)|~(in @ X2764 @ X2762))))))&((~(in @ X2766 @ (powerset @ X2765))|(~(in @ X2767 @ (powerset @ X2765))|(~(subset @ X2766 @ X2767)|(subset @ (setminus @ X2765 @ X2767) @ (setminus @ X2765 @ X2766)))))&((~(in @ X2769 @ (powerset @ X2768))|(~(in @ X2770 @ (powerset @ X2768))|(~(subset @ (setminus @ X2768 @ X2770) @ (setminus @ X2768 @ X2769))|(subset @ X2769 @ X2770))))&((~(in @ X2772 @ (powerset @ X2771))|(~(in @ X2773 @ X2771)|(~(in @ X2773 @ X2772)|(in @ X2773 @ (setminus @ X2771 @ (setminus @ X2771 @ X2772))))))&((~(in @ X2775 @ (powerset @ X2774))|(~(in @ X2776 @ X2774)|(~(in @ X2776 @ (setminus @ X2774 @ (setminus @ X2774 @ X2775)))|(in @ X2776 @ X2775))))&((~(in @ X2778 @ (powerset @ X2777))|(subset @ X2778 @ (setminus @ X2777 @ (setminus @ X2777 @ X2778))))&((~(in @ X2780 @ (powerset @ X2779))|(subset @ (setminus @ X2779 @ (setminus @ X2779 @ X2780)) @ X2780))&((~(in @ X2782 @ (powerset @ X2781))|((X2782)=(setminus @ X2781 @ (setminus @ X2781 @ X2782))))&((~(in @ X2784 @ (powerset @ X2783))|(~(in @ X2785 @ (powerset @ X2783))|(~(in @ X2786 @ X2783)|(~(in @ X2786 @ (setminus @ X2783 @ X2784))|~(in @ X2786 @ (binintersect @ X2784 @ X2785))))))&((~(in @ X2788 @ (powerset @ X2787))|(~(in @ X2789 @ (powerset @ X2787))|(~(in @ X2790 @ X2787)|(~(in @ X2790 @ (setminus @ X2787 @ X2788))|(in @ X2790 @ (setminus @ X2787 @ (binintersect @ X2788 @ X2789)))))))&((~(in @ X2792 @ (powerset @ X2791))|(~(in @ X2793 @ (powerset @ X2791))|(subset @ (setminus @ X2791 @ X2792) @ (setminus @ X2791 @ (binintersect @ X2792 @ X2793)))))&((~(in @ X2795 @ (powerset @ X2794))|(~(in @ X2796 @ (powerset @ X2794))|(in @ (setminus @ X2794 @ X2795) @ (powerset @ (setminus @ X2794 @ (binintersect @ X2795 @ X2796))))))&((~(in @ X2798 @ (powerset @ X2797))|(~(in @ X2799 @ (powerset @ X2797))|(~(subset @ X2798 @ (setminus @ X2797 @ X2799))|(~(in @ X2800 @ X2797)|(~(in @ X2800 @ X2799)|(in @ X2800 @ (setminus @ X2797 @ X2798)))))))&((~(in @ X2802 @ (powerset @ X2801))|(~(in @ X2803 @ (powerset @ X2801))|(~(subset @ X2802 @ (setminus @ X2801 @ X2803))|(subset @ X2803 @ (setminus @ X2801 @ X2802)))))&((~(in @ X2805 @ (powerset @ X2804))|(~(in @ X2806 @ (powerset @ X2804))|(~(in @ X2807 @ X2804)|((in @ X2807 @ (binunion @ X2805 @ X2806))|~(in @ X2807 @ X2805)))))&((~(in @ X2809 @ (powerset @ X2808))|(~(in @ X2810 @ (powerset @ X2808))|(~(in @ X2811 @ X2808)|((in @ X2811 @ (binunion @ X2809 @ X2810))|~(in @ X2811 @ X2810)))))&((~(in @ X2813 @ (powerset @ X2812))|(~(in @ X2814 @ (powerset @ X2812))|(~(in @ X2815 @ (powerset @ X2812))|(~(in @ X2816 @ X2812)|(~(in @ X2816 @ (binintersect @ X2813 @ X2814))|(in @ X2816 @ (binunion @ X2813 @ X2815)))))))&((~(in @ X2818 @ (powerset @ X2817))|(~(in @ X2819 @ (powerset @ X2817))|(~(in @ X2820 @ (powerset @ X2817))|(~(in @ X2821 @ X2817)|(~(in @ X2821 @ (binintersect @ X2818 @ X2819))|(in @ X2821 @ (binunion @ X2819 @ X2820)))))))&((~(in @ X2823 @ (powerset @ X2822))|(~(in @ X2824 @ (powerset @ X2822))|(~(in @ X2825 @ (powerset @ X2822))|(~(in @ X2826 @ X2822)|(~(in @ X2826 @ (binintersect @ X2823 @ X2824))|(in @ X2826 @ (binintersect @ (binunion @ X2823 @ X2825) @ (binunion @ X2824 @ X2825))))))))&((~(in @ X2828 @ (powerset @ X2827))|(~(in @ X2829 @ (powerset @ X2827))|(~(in @ X2830 @ (powerset @ X2827))|(in @ (binintersect @ X2828 @ X2829) @ (powerset @ (binintersect @ (binunion @ X2828 @ X2830) @ (binunion @ X2829 @ X2830)))))))&((~(in @ X2832 @ (powerset @ X2831))|(~(in @ X2833 @ (powerset @ X2831))|(~(in @ X2834 @ X2831)|(~(in @ X2834 @ (setminus @ X2831 @ (binunion @ X2832 @ X2833)))|~(in @ X2834 @ X2832)))))&((~(in @ X2836 @ (powerset @ X2835))|(~(in @ X2837 @ (powerset @ X2835))|(~(in @ X2838 @ X2835)|(~(in @ X2838 @ (setminus @ X2835 @ (binunion @ X2836 @ X2837)))|(in @ X2838 @ (setminus @ X2835 @ X2836))))))&(((((in @ X2843 @ X2841)|(X2842)|(in @ X2843 @ X2840)|~(in @ X2843 @ (binunion @ X2840 @ X2841))|~(in @ X2843 @ X2839)|~(in @ X2841 @ (powerset @ X2839))|~(in @ X2840 @ (powerset @ X2839)))&(~(X2842)|(X2842)|(in @ X2843 @ X2840)|~(in @ X2843 @ (binunion @ X2840 @ X2841))|~(in @ X2843 @ X2839)|~(in @ X2841 @ (powerset @ X2839))|~(in @ X2840 @ (powerset @ X2839))))&(((in @ X2843 @ X2841)|(X2842)|~(X2842)|~(in @ X2843 @ (binunion @ X2840 @ X2841))|~(in @ X2843 @ X2839)|~(in @ X2841 @ (powerset @ X2839))|~(in @ X2840 @ (powerset @ X2839)))&(~(X2842)|(X2842)|~(X2842)|~(in @ X2843 @ (binunion @ X2840 @ X2841))|~(in @ X2843 @ X2839)|~(in @ X2841 @ (powerset @ X2839))|~(in @ X2840 @ (powerset @ X2839)))))&((~(in @ X2845 @ (powerset @ X2844))|(~(in @ X2846 @ (powerset @ X2844))|(~(in @ X2847 @ X2844)|((in @ X2847 @ X2845)|((in @ X2847 @ X2846)|~(in @ X2847 @ (binunion @ X2845 @ X2846)))))))&((~(in @ X2849 @ (powerset @ X2848))|(~(in @ X2850 @ (powerset @ X2848))|(~(in @ X2851 @ X2848)|(~(in @ X2851 @ (setminus @ X2848 @ (binunion @ X2849 @ X2850)))|(in @ X2851 @ (setminus @ X2848 @ X2849))))))&((~(in @ X2853 @ (powerset @ X2852))|(~(in @ X2854 @ (powerset @ X2852))|(in @ (setminus @ X2852 @ (binunion @ X2853 @ X2854)) @ (powerset @ (setminus @ X2852 @ X2853)))))&((~(in @ X2856 @ (powerset @ X2855))|(~(in @ X2857 @ (powerset @ X2855))|(~(in @ X2858 @ X2855)|(~(in @ X2858 @ (setminus @ X2855 @ (binunion @ X2856 @ X2857)))|(in @ X2858 @ (setminus @ X2855 @ X2857))))))&((~(in @ X2860 @ (powerset @ X2859))|(~(in @ X2861 @ (powerset @ X2859))|(~(in @ X2862 @ X2859)|(~(in @ X2862 @ (setminus @ X2859 @ (binintersect @ X2860 @ X2861)))|(in @ X2862 @ (binunion @ (setminus @ X2859 @ X2860) @ (setminus @ X2859 @ X2861)))))))&((~(in @ X2864 @ (powerset @ X2863))|(~(in @ X2865 @ (powerset @ X2863))|(~(in @ X2866 @ X2863)|(~(in @ X2866 @ (binunion @ (setminus @ X2863 @ X2864) @ (setminus @ X2863 @ X2865)))|(in @ X2866 @ (setminus @ X2863 @ (binintersect @ X2864 @ X2865)))))))&((~(in @ X2868 @ (powerset @ X2867))|(~(in @ X2869 @ (powerset @ X2867))|((setminus @ X2867 @ (binintersect @ X2868 @ X2869))=(binunion @ (setminus @ X2867 @ X2868) @ (setminus @ X2867 @ X2869)))))&((~(in @ X2871 @ (powerset @ X2870))|(~(in @ X2872 @ (powerset @ X2870))|(~(in @ X2873 @ X2870)|(~(in @ X2873 @ (setminus @ X2870 @ (binunion @ X2871 @ X2872)))|(in @ X2873 @ (binintersect @ (setminus @ X2870 @ X2871) @ (setminus @ X2870 @ X2872)))))))&((~(in @ X2875 @ (powerset @ X2874))|(~(in @ X2876 @ (powerset @ X2874))|(~(in @ X2877 @ X2874)|(~(in @ X2877 @ (setminus @ X2874 @ X2875))|(~(in @ X2877 @ (setminus @ X2874 @ X2876))|(in @ X2877 @ (setminus @ X2874 @ (binunion @ X2875 @ X2876))))))))&((~(in @ X2879 @ (powerset @ X2878))|(~(in @ X2880 @ (powerset @ X2878))|(~(in @ X2881 @ X2878)|(~(in @ X2881 @ (binintersect @ (setminus @ X2878 @ X2879) @ (setminus @ X2878 @ X2880)))|(in @ X2881 @ (setminus @ X2878 @ (binunion @ X2879 @ X2880)))))))&((~(in @ X2883 @ (powerset @ X2882))|(~(in @ X2884 @ (powerset @ X2882))|((setminus @ X2882 @ (binunion @ X2883 @ X2884))=(binintersect @ (setminus @ X2882 @ X2883) @ (setminus @ X2882 @ X2884)))))&((~(in @ X2886 @ (powerset @ X2885))|(~(in @ X2887 @ (powerset @ X2885))|(~(in @ X2888 @ (binintersect @ X2886 @ X2887))|(in @ X2888 @ X2885))))&((~(in @ X2890 @ (powerset @ X2889))|(~(in @ X2891 @ (powerset @ X2889))|(~(in @ X2892 @ (powerset @ X2889))|(~(subset @ X2890 @ X2892)|(subset @ (binintersect @ X2890 @ X2891) @ X2892)))))&((~(in @ X2894 @ (powerset @ X2893))|(~(in @ X2895 @ (powerset @ X2893))|(~(in @ X2896 @ (powerset @ X2893))|(~(subset @ X2895 @ X2896)|(subset @ (binintersect @ X2894 @ X2895) @ X2896)))))&((~(in @ X2898 @ (powerset @ X2897))|(~(in @ X2899 @ (powerset @ X2897))|(~(in @ X2900 @ (powerset @ X2897))|(~(subset @ X2898 @ X2899)|(~(subset @ X2898 @ X2900)|(subset @ X2898 @ (binintersect @ X2899 @ X2900)))))))&((~(in @ X2902 @ (powerset @ X2901))|(~(in @ X2903 @ (powerset @ X2901))|(~(in @ X2904 @ (powerset @ X2901))|(~(in @ X2905 @ (powerset @ X2901))|(~(subset @ X2902 @ X2904)|(~(subset @ X2903 @ X2905)|(subset @ (binintersect @ X2902 @ X2903) @ (binintersect @ X2904 @ X2905))))))))&((~(in @ X2907 @ (powerset @ X2906))|(~(in @ X2908 @ (powerset @ X2906))|(in @ (setminus @ X2906 @ X2907) @ (powerset @ (setminus @ X2906 @ (binintersect @ X2907 @ X2908))))))&((~(in @ X2910 @ (powerset @ X2909))|(~(in @ X2911 @ (powerset @ X2909))|(~(in @ X2912 @ (powerset @ X2909))|(~(in @ X2913 @ (powerset @ X2909))|((setminus @ X2909 @ (binintersect @ (binunion @ X2910 @ X2911) @ (binunion @ X2912 @ X2913)))=(binunion @ (binintersect @ (setminus @ X2909 @ X2910) @ (setminus @ X2909 @ X2911)) @ (binintersect @ (setminus @ X2909 @ X2912) @ (setminus @ X2909 @ X2913))))))))&((~(in @ X2915 @ (powerset @ X2914))|(~(in @ X2916 @ (powerset @ X2914))|(~(in @ X2917 @ (powerset @ X2914))|(in @ (binintersect @ X2915 @ X2916) @ (powerset @ (binintersect @ (binunion @ X2915 @ X2917) @ (binunion @ X2916 @ X2917)))))))&((~(in @ X2919 @ (powerset @ X2918))|(~(in @ X2920 @ (powerset @ X2918))|(~(subset @ X2919 @ (setminus @ X2918 @ X2920))|(subset @ X2920 @ (setminus @ X2918 @ X2919)))))&((~(in @ X2922 @ (powerset @ X2921))|(~(in @ X2923 @ (powerset @ X2921))|(in @ (setminus @ X2921 @ (binunion @ X2922 @ X2923)) @ (powerset @ (setminus @ X2921 @ X2922)))))&((((in @ (esk71_3 @ X2924 @ X2925 @ X2926) @ X2924)|(~(in @ X2929 @ X2925)|(X2926 @ X2929))|~(breln1 @ X2924 @ X2925))&(((in @ (esk72_3 @ X2924 @ X2925 @ X2926) @ X2924)|(~(in @ X2929 @ X2925)|(X2926 @ X2929))|~(breln1 @ X2924 @ X2925))&(((in @ (kpair @ (esk71_3 @ X2924 @ X2925 @ X2926) @ (esk72_3 @ X2924 @ X2925 @ X2926)) @ X2925)|(~(in @ X2929 @ X2925)|(X2926 @ X2929))|~(breln1 @ X2924 @ X2925))&(~(X2926 @ (kpair @ (esk71_3 @ X2924 @ X2925 @ X2926) @ (esk72_3 @ X2924 @ X2925 @ X2926)))|(~(in @ X2929 @ X2925)|(X2926 @ X2929))|~(breln1 @ X2924 @ X2925)))))&((~(in @ X2931 @ (breln1Set @ X2930))|(breln1 @ X2930 @ X2931))&((choice2fnsingleton)&((breln1 @ X2932 @ (dpsetconstr @ X2932 @ X2932 @ X2933))&((((in @ (esk73_3 @ X2934 @ X2935 @ X2936) @ X2934)|(~(in @ X2939 @ X2935)|(X2936 @ X2939))|~(breln1 @ X2934 @ X2935))&(((in @ (esk74_3 @ X2934 @ X2935 @ X2936) @ X2934)|(~(in @ X2939 @ X2935)|(X2936 @ X2939))|~(breln1 @ X2934 @ X2935))&(((in @ (kpair @ (esk73_3 @ X2934 @ X2935 @ X2936) @ (esk74_3 @ X2934 @ X2935 @ X2936)) @ X2935)|(~(in @ X2939 @ X2935)|(X2936 @ X2939))|~(breln1 @ X2934 @ X2935))&(~(X2936 @ (kpair @ (esk73_3 @ X2934 @ X2935 @ X2936) @ (esk74_3 @ X2934 @ X2935 @ X2936)))|(~(in @ X2939 @ X2935)|(X2936 @ X2939))|~(breln1 @ X2934 @ X2935)))))&((((in @ (esk75_3 @ X2940 @ X2941 @ X2942) @ X2940)|(subset @ X2941 @ X2942)|~(breln1 @ X2940 @ X2942)|~(breln1 @ X2940 @ X2941))&(((in @ (esk76_3 @ X2940 @ X2941 @ X2942) @ X2940)|(subset @ X2941 @ X2942)|~(breln1 @ X2940 @ X2942)|~(breln1 @ X2940 @ X2941))&(((in @ (kpair @ (esk75_3 @ X2940 @ X2941 @ X2942) @ (esk76_3 @ X2940 @ X2941 @ X2942)) @ X2941)|(subset @ X2941 @ X2942)|~(breln1 @ X2940 @ X2942)|~(breln1 @ X2940 @ X2941))&(~(in @ (kpair @ (esk75_3 @ X2940 @ X2941 @ X2942) @ (esk76_3 @ X2940 @ X2941 @ X2942)) @ X2942)|(subset @ X2941 @ X2942)|~(breln1 @ X2940 @ X2942)|~(breln1 @ X2940 @ X2941)))))&(((((in @ (esk79_3 @ X2945 @ X2946 @ X2947) @ X2945)|((X2946)=(X2947))|(in @ (esk77_3 @ X2945 @ X2946 @ X2947) @ X2945)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(((in @ (esk80_3 @ X2945 @ X2946 @ X2947) @ X2945)|((X2946)=(X2947))|(in @ (esk77_3 @ X2945 @ X2946 @ X2947) @ X2945)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(((in @ (kpair @ (esk79_3 @ X2945 @ X2946 @ X2947) @ (esk80_3 @ X2945 @ X2946 @ X2947)) @ X2947)|((X2946)=(X2947))|(in @ (esk77_3 @ X2945 @ X2946 @ X2947) @ X2945)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(~(in @ (kpair @ (esk79_3 @ X2945 @ X2946 @ X2947) @ (esk80_3 @ X2945 @ X2946 @ X2947)) @ X2946)|((X2946)=(X2947))|(in @ (esk77_3 @ X2945 @ X2946 @ X2947) @ X2945)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946)))))&((((in @ (esk79_3 @ X2945 @ X2946 @ X2947) @ X2945)|((X2946)=(X2947))|(in @ (esk78_3 @ X2945 @ X2946 @ X2947) @ X2945)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(((in @ (esk80_3 @ X2945 @ X2946 @ X2947) @ X2945)|((X2946)=(X2947))|(in @ (esk78_3 @ X2945 @ X2946 @ X2947) @ X2945)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(((in @ (kpair @ (esk79_3 @ X2945 @ X2946 @ X2947) @ (esk80_3 @ X2945 @ X2946 @ X2947)) @ X2947)|((X2946)=(X2947))|(in @ (esk78_3 @ X2945 @ X2946 @ X2947) @ X2945)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(~(in @ (kpair @ (esk79_3 @ X2945 @ X2946 @ X2947) @ (esk80_3 @ X2945 @ X2946 @ X2947)) @ X2946)|((X2946)=(X2947))|(in @ (esk78_3 @ X2945 @ X2946 @ X2947) @ X2945)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946)))))&((((in @ (esk79_3 @ X2945 @ X2946 @ X2947) @ X2945)|((X2946)=(X2947))|(in @ (kpair @ (esk77_3 @ X2945 @ X2946 @ X2947) @ (esk78_3 @ X2945 @ X2946 @ X2947)) @ X2946)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(((in @ (esk80_3 @ X2945 @ X2946 @ X2947) @ X2945)|((X2946)=(X2947))|(in @ (kpair @ (esk77_3 @ X2945 @ X2946 @ X2947) @ (esk78_3 @ X2945 @ X2946 @ X2947)) @ X2946)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(((in @ (kpair @ (esk79_3 @ X2945 @ X2946 @ X2947) @ (esk80_3 @ X2945 @ X2946 @ X2947)) @ X2947)|((X2946)=(X2947))|(in @ (kpair @ (esk77_3 @ X2945 @ X2946 @ X2947) @ (esk78_3 @ X2945 @ X2946 @ X2947)) @ X2946)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(~(in @ (kpair @ (esk79_3 @ X2945 @ X2946 @ X2947) @ (esk80_3 @ X2945 @ X2946 @ X2947)) @ X2946)|((X2946)=(X2947))|(in @ (kpair @ (esk77_3 @ X2945 @ X2946 @ X2947) @ (esk78_3 @ X2945 @ X2946 @ X2947)) @ X2946)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946)))))&(((in @ (esk79_3 @ X2945 @ X2946 @ X2947) @ X2945)|((X2946)=(X2947))|~(in @ (kpair @ (esk77_3 @ X2945 @ X2946 @ X2947) @ (esk78_3 @ X2945 @ X2946 @ X2947)) @ X2947)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(((in @ (esk80_3 @ X2945 @ X2946 @ X2947) @ X2945)|((X2946)=(X2947))|~(in @ (kpair @ (esk77_3 @ X2945 @ X2946 @ X2947) @ (esk78_3 @ X2945 @ X2946 @ X2947)) @ X2947)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(((in @ (kpair @ (esk79_3 @ X2945 @ X2946 @ X2947) @ (esk80_3 @ X2945 @ X2946 @ X2947)) @ X2947)|((X2946)=(X2947))|~(in @ (kpair @ (esk77_3 @ X2945 @ X2946 @ X2947) @ (esk78_3 @ X2945 @ X2946 @ X2947)) @ X2947)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))&(~(in @ (kpair @ (esk79_3 @ X2945 @ X2946 @ X2947) @ (esk80_3 @ X2945 @ X2946 @ X2947)) @ X2946)|((X2946)=(X2947))|~(in @ (kpair @ (esk77_3 @ X2945 @ X2946 @ X2947) @ (esk78_3 @ X2945 @ X2946 @ X2947)) @ X2947)|~(breln1 @ X2945 @ X2947)|~(breln1 @ X2945 @ X2946))))))))&((~(breln1 @ X2952 @ X2953)|(breln1 @ X2952 @ (breln1invset @ X2952 @ X2953)))&((~(breln1 @ X2954 @ X2955)|(~(in @ X2956 @ X2954)|(~(in @ X2957 @ X2954)|(~(in @ (kpair @ X2956 @ X2957) @ X2955)|(in @ (kpair @ X2957 @ X2956) @ (breln1invset @ X2954 @ X2955))))))&((~(breln1 @ X2958 @ X2959)|(~(in @ X2960 @ X2958)|(~(in @ X2961 @ X2958)|(~(in @ (kpair @ X2961 @ X2960) @ (breln1invset @ X2958 @ X2959))|(in @ (kpair @ X2960 @ X2961) @ X2959)))))&((~(breln1 @ X2962 @ X2963)|(~(breln1 @ X2962 @ X2964)|(breln1 @ X2962 @ (breln1compset @ X2962 @ X2963 @ X2964))))&((~(breln1 @ X2965 @ X2966)|(~(breln1 @ X2965 @ X2967)|(~(in @ X2968 @ X2965)|(~(in @ X2969 @ X2965)|(~(in @ X2970 @ X2965)|(~(in @ (kpair @ X2968 @ X2970) @ X2966)|(~(in @ (kpair @ X2970 @ X2969) @ X2967)|(in @ (kpair @ X2968 @ X2969) @ (breln1compset @ X2965 @ X2966 @ X2967)))))))))&(((((in @ (esk81_5 @ X2971 @ X2972 @ X2973 @ X2974 @ X2975) @ X2971)|~(in @ (kpair @ X2974 @ X2975) @ (breln1compset @ X2971 @ X2972 @ X2973))|~(in @ X2975 @ X2971)|~(in @ X2974 @ X2971)|~(breln1 @ X2971 @ X2973)|~(breln1 @ X2971 @ X2972))&((in @ (kpair @ X2974 @ (esk81_5 @ X2971 @ X2972 @ X2973 @ X2974 @ X2975)) @ X2972)|~(in @ (kpair @ X2974 @ X2975) @ (breln1compset @ X2971 @ X2972 @ X2973))|~(in @ X2975 @ X2971)|~(in @ X2974 @ X2971)|~(breln1 @ X2971 @ X2973)|~(breln1 @ X2971 @ X2972)))&((in @ (kpair @ (esk81_5 @ X2971 @ X2972 @ X2973 @ X2974 @ X2975) @ X2975) @ X2973)|~(in @ (kpair @ X2974 @ X2975) @ (breln1compset @ X2971 @ X2972 @ X2973))|~(in @ X2975 @ X2971)|~(in @ X2974 @ X2971)|~(breln1 @ X2971 @ X2973)|~(breln1 @ X2971 @ X2972)))&((((in @ (esk82_6 @ X2977 @ X2978 @ X2979 @ X2980 @ X2981 @ X2982) @ X2977)|(X2982)|~(in @ (kpair @ X2980 @ X2981) @ (breln1compset @ X2977 @ X2978 @ X2979))|~(in @ X2981 @ X2977)|~(in @ X2980 @ X2977)|~(breln1 @ X2977 @ X2979)|~(breln1 @ X2977 @ X2978))&(((in @ (kpair @ X2980 @ (esk82_6 @ X2977 @ X2978 @ X2979 @ X2980 @ X2981 @ X2982)) @ X2978)|(X2982)|~(in @ (kpair @ X2980 @ X2981) @ (breln1compset @ X2977 @ X2978 @ X2979))|~(in @ X2981 @ X2977)|~(in @ X2980 @ X2977)|~(breln1 @ X2977 @ X2979)|~(breln1 @ X2977 @ X2978))&(((in @ (kpair @ (esk82_6 @ X2977 @ X2978 @ X2979 @ X2980 @ X2981 @ X2982) @ X2981) @ X2979)|(X2982)|~(in @ (kpair @ X2980 @ X2981) @ (breln1compset @ X2977 @ X2978 @ X2979))|~(in @ X2981 @ X2977)|~(in @ X2980 @ X2977)|~(breln1 @ X2977 @ X2979)|~(breln1 @ X2977 @ X2978))&(~(X2982)|(X2982)|~(in @ (kpair @ X2980 @ X2981) @ (breln1compset @ X2977 @ X2978 @ X2979))|~(in @ X2981 @ X2977)|~(in @ X2980 @ X2977)|~(breln1 @ X2977 @ X2979)|~(breln1 @ X2977 @ X2978)))))&((~(breln1 @ X2984 @ X2985)|(~(breln1 @ X2984 @ X2986)|(breln1 @ X2984 @ (binunion @ X2985 @ X2986))))&((~(breln1 @ X2987 @ X2988)|(~(breln1 @ X2987 @ X2989)|(~(in @ X2990 @ X2987)|(~(in @ X2991 @ X2987)|(~(in @ (kpair @ X2990 @ X2991) @ X2988)|(in @ (kpair @ X2990 @ X2991) @ (binunion @ X2988 @ X2989)))))))&((~(breln1 @ X2992 @ X2993)|(~(breln1 @ X2992 @ X2994)|(~(in @ X2995 @ X2992)|(~(in @ X2996 @ X2992)|(~(in @ (kpair @ X2995 @ X2996) @ X2994)|(in @ (kpair @ X2995 @ X2996) @ (binunion @ X2993 @ X2994)))))))&(((~(in @ (kpair @ X3000 @ X3001) @ X2998)|(in @ (kpair @ X3000 @ X3001) @ (binunion @ X2998 @ X2999))|~(in @ X3001 @ X2997)|~(in @ X3000 @ X2997)|~(breln1 @ X2997 @ X2999)|~(breln1 @ X2997 @ X2998))&(~(in @ (kpair @ X3000 @ X3001) @ X2999)|(in @ (kpair @ X3000 @ X3001) @ (binunion @ X2998 @ X2999))|~(in @ X3001 @ X2997)|~(in @ X3000 @ X2997)|~(breln1 @ X2997 @ X2999)|~(breln1 @ X2997 @ X2998)))&((breln1 @ esk83_0 @ esk84_0)&((breln1 @ esk83_0 @ esk85_0)&((in @ esk86_0 @ esk83_0)&((in @ esk87_0 @ esk83_0)&((in @ (kpair @ esk86_0 @ esk87_0) @ (binunion @ esk84_0 @ esk85_0))&(~(in @ (kpair @ esk86_0 @ esk87_0) @ esk84_0)&~(in @ (kpair @ esk86_0 @ esk87_0) @ esk85_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_355])])])])])])])).
% 1.72/0.50 thf(c_0_357, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ X3)|(in @ X2 @ X4)|~((in @ X2 @ (binunion @ X4 @ X3))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_356])])])).
% 1.72/0.50 thf(c_0_358, negated_conjecture, (in @ (kpair @ esk86_0 @ esk87_0) @ (binunion @ esk84_0 @ esk85_0)), inference(split_conjunct,[status(thm)],[c_0_356])).
% 1.72/0.50 thf(c_0_359, negated_conjecture, ~((in @ (kpair @ esk86_0 @ esk87_0) @ esk85_0)), inference(split_conjunct,[status(thm)],[c_0_356])).
% 1.72/0.50 thf(c_0_360, negated_conjecture, ~((in @ (kpair @ esk86_0 @ esk87_0) @ esk84_0)), inference(split_conjunct,[status(thm)],[c_0_356])).
% 1.72/0.50 thf(c_0_361, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_357, c_0_358]), c_0_359]), c_0_360]), ['proof']).
% 1.72/0.50 % SZS output end CNFRefutation
% 1.72/0.50 % Parsed axioms : 655
% 1.72/0.50 % Removed by relevancy pruning/SinE : 354
% 1.72/0.50 % Initial clauses : 499
% 1.72/0.50 % Removed in clause preprocessing : 38
% 1.72/0.50 % Initial clauses in saturation : 461
% 1.72/0.50 % Processed clauses : 1045
% 1.72/0.50 % ...of these trivial : 49
% 1.72/0.50 % ...subsumed : 520
% 1.72/0.50 % ...remaining for further processing : 476
% 1.72/0.50 % Other redundant clauses eliminated : 75
% 1.72/0.50 % Clauses deleted for lack of memory : 0
% 1.72/0.50 % Backward-subsumed : 41
% 1.72/0.50 % Backward-rewritten : 8
% 1.72/0.50 % Generated clauses : 6773
% 1.72/0.50 % ...of the previous two non-redundant : 6018
% 1.72/0.50 % ...aggressively subsumed : 0
% 1.72/0.50 % Contextual simplify-reflections : 0
% 1.72/0.50 % Paramodulations : 6690
% 1.72/0.50 % Factorizations : 4
% 1.72/0.50 % NegExts : 0
% 1.72/0.50 % Equation resolutions : 78
% 1.72/0.50 % Disequality decompositions : 0
% 1.72/0.50 % Total rewrite steps : 716
% 1.72/0.50 % ...of those cached : 596
% 1.72/0.50 % Propositional unsat checks : 0
% 1.72/0.50 % Propositional check models : 0
% 1.72/0.50 % Propositional check unsatisfiable : 0
% 1.72/0.50 % Propositional clauses : 0
% 1.72/0.50 % Propositional clauses after purity: 0
% 1.72/0.50 % Propositional unsat core size : 0
% 1.72/0.50 % Propositional preprocessing time : 0.000
% 1.72/0.50 % Propositional encoding time : 0.000
% 1.72/0.50 % Propositional solver time : 0.000
% 1.72/0.50 % Success case prop preproc time : 0.000
% 1.72/0.50 % Success case prop encoding time : 0.000
% 1.72/0.50 % Success case prop solver time : 0.000
% 1.72/0.50 % Current number of processed clauses : 417
% 1.72/0.50 % Positive orientable unit clauses : 82
% 1.72/0.50 % Positive unorientable unit clauses: 0
% 1.72/0.50 % Negative unit clauses : 5
% 1.72/0.50 % Non-unit-clauses : 330
% 1.72/0.50 % Current number of unprocessed clauses: 5189
% 1.72/0.50 % ...number of literals in the above : 15243
% 1.72/0.50 % Current number of archived formulas : 0
% 1.72/0.50 % Current number of archived clauses : 49
% 1.72/0.50 % Clause-clause subsumption calls (NU) : 24512
% 1.72/0.50 % Rec. Clause-clause subsumption calls : 21274
% 1.72/0.50 % Non-unit clause-clause subsumptions : 524
% 1.72/0.50 % Unit Clause-clause subsumption calls : 349
% 1.72/0.50 % Rewrite failures with RHS unbound : 0
% 1.72/0.50 % BW rewrite match attempts : 16
% 1.72/0.50 % BW rewrite match successes : 5
% 1.72/0.50 % Condensation attempts : 0
% 1.72/0.50 % Condensation successes : 0
% 1.72/0.50 % Termbank termtop insertions : 149221
% 1.72/0.50 % Search garbage collected termcells : 32232
% 1.72/0.50
% 1.72/0.50 % -------------------------------------------------
% 1.72/0.50 % User time : 0.169 s
% 1.72/0.50 % System time : 0.019 s
% 1.72/0.50 % Total time : 0.187 s
% 1.72/0.50 % Maximum resident set size: 11748 pages
% 1.72/0.50
% 1.72/0.50 % -------------------------------------------------
% 1.72/0.50 % User time : 0.185 s
% 1.72/0.50 % System time : 0.029 s
% 1.72/0.50 % Total time : 0.213 s
% 1.72/0.50 % Maximum resident set size: 5888 pages
% 1.72/0.50 % E exiting
%------------------------------------------------------------------------------