%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU766^1 : 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 : n019.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 08:25:32 AM UTC 2026
% Result : Theorem 3.54s 0.95s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU766^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:23:33 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.21/0.30 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.LGuqkXdZkq/E---3.1_852200.p
% 3.54/0.95 % Version: 3.5.1-ho
% 3.54/0.95 % Preprocessing class: HSLMSLSSLLLCHFA.
% 3.54/0.95 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.54/0.95 % Starting ehoh_best5 with 300s (1) cores
% 3.54/0.95 % Starting almost_fo_3_lam with 300s (1) cores
% 3.54/0.95 % Starting new_bool_5 with 300s (1) cores
% 3.54/0.95 % Starting pre_casc_3 with 300s (1) cores
% 3.54/0.95 % Starting ho_unfolding_8 with 300s (1) cores
% 3.54/0.95 % Starting new_ho_10_cnf2 with 300s (1) cores
% 3.54/0.95 % Starting new_bool_3 with 300s (1) cores
% 3.54/0.95 % Starting new_ho_5 with 300s (1) cores
% 3.54/0.95 % new_ho_5 with pid 852244 completed with status 9
% 3.54/0.95 % new_bool_5 with pid 852239 completed with status 0
% 3.54/0.95 % Result found by new_bool_5
% 3.54/0.95 % Preprocessing class: HSLMSLSSLLLCHFA.
% 3.54/0.95 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.54/0.95 % Starting ehoh_best5 with 300s (1) cores
% 3.54/0.95 % Starting almost_fo_3_lam with 300s (1) cores
% 3.54/0.95 % Starting new_bool_5 with 300s (1) cores
% 3.54/0.95 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 3.54/0.95 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 3.54/0.95 % Search class: HGHSM-FSLM32-MHFMMSBN
% 3.54/0.95 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 3.54/0.95 % Starting SubtermCWHack with 28s (1) cores
% 3.54/0.95 % SubtermCWHack with pid 852283 completed with status 0
% 3.54/0.95 % Result found by SubtermCWHack
% 3.54/0.95 % Preprocessing class: HSLMSLSSLLLCHFA.
% 3.54/0.95 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.54/0.95 % Starting ehoh_best5 with 300s (1) cores
% 3.54/0.95 % Starting almost_fo_3_lam with 300s (1) cores
% 3.54/0.95 % Starting new_bool_5 with 300s (1) cores
% 3.54/0.95 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 3.54/0.95 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 3.54/0.95 % Search class: HGHSM-FSLM32-MHFMMSBN
% 3.54/0.95 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 3.54/0.95 % Starting SubtermCWHack with 28s (1) cores
% 3.54/0.95 % Preprocessing time : 0.012 s
% 3.54/0.95
% 3.54/0.95 % Proof found!
% 3.54/0.95 % SZS status Theorem
% 3.54/0.95 % SZS output start CNFRefutation
% 3.54/0.95 thf(decl_23, type, in: $i > $i > $o).
% 3.54/0.95 thf(decl_24, type, exu: ($i > $o) > $o).
% 3.54/0.95 thf(decl_25, type, setextAx: $o).
% 3.54/0.95 thf(decl_26, type, emptyset: $i).
% 3.54/0.95 thf(decl_27, type, emptysetAx: $o).
% 3.54/0.95 thf(decl_28, type, setadjoin: $i > $i > $i).
% 3.54/0.95 thf(decl_29, type, setadjoinAx: $o).
% 3.54/0.95 thf(decl_30, type, powerset: $i > $i).
% 3.54/0.95 thf(decl_31, type, powersetAx: $o).
% 3.54/0.95 thf(decl_32, type, setunion: $i > $i).
% 3.54/0.95 thf(decl_33, type, setunionAx: $o).
% 3.54/0.95 thf(decl_34, type, omega: $i).
% 3.54/0.95 thf(decl_35, type, omega0Ax: $o).
% 3.54/0.95 thf(decl_36, type, omegaSAx: $o).
% 3.54/0.95 thf(decl_37, type, omegaIndAx: $o).
% 3.54/0.95 thf(decl_38, type, replAx: $o).
% 3.54/0.95 thf(decl_39, type, foundationAx: $o).
% 3.54/0.95 thf(decl_40, type, wellorderingAx: $o).
% 3.54/0.95 thf(decl_41, type, descr: ($i > $o) > $i).
% 3.54/0.95 thf(decl_42, type, descrp: $o).
% 3.54/0.95 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_44, type, dsetconstrI: $o).
% 3.54/0.95 thf(decl_45, type, dsetconstrEL: $o).
% 3.54/0.95 thf(decl_46, type, dsetconstrER: $o).
% 3.54/0.95 thf(decl_47, type, exuE1: $o).
% 3.54/0.95 thf(decl_48, type, prop2set: $o > $i).
% 3.54/0.95 thf(decl_49, type, prop2setE: $o).
% 3.54/0.95 thf(decl_50, type, emptysetE: $o).
% 3.54/0.95 thf(decl_51, type, emptysetimpfalse: $o).
% 3.54/0.95 thf(decl_52, type, notinemptyset: $o).
% 3.54/0.95 thf(decl_53, type, exuE3e: $o).
% 3.54/0.95 thf(decl_54, type, setext: $o).
% 3.54/0.95 thf(decl_55, type, emptyI: $o).
% 3.54/0.95 thf(decl_56, type, noeltsimpempty: $o).
% 3.54/0.95 thf(decl_57, type, setbeta: $o).
% 3.54/0.95 thf(decl_58, type, nonempty: $i > $o).
% 3.54/0.95 thf(decl_59, type, nonemptyE1: $o).
% 3.54/0.95 thf(decl_60, type, nonemptyI: $o).
% 3.54/0.95 thf(decl_61, type, nonemptyI1: $o).
% 3.54/0.95 thf(decl_62, type, setadjoinIL: $o).
% 3.54/0.95 thf(decl_63, type, emptyinunitempty: $o).
% 3.54/0.95 thf(decl_64, type, setadjoinIR: $o).
% 3.54/0.95 thf(decl_65, type, setadjoinE: $o).
% 3.54/0.95 thf(decl_66, type, setadjoinOr: $o).
% 3.54/0.95 thf(decl_67, type, setoftrueEq: $o).
% 3.54/0.95 thf(decl_68, type, powersetI: $o).
% 3.54/0.95 thf(decl_69, type, emptyinPowerset: $o).
% 3.54/0.95 thf(decl_70, type, emptyInPowerset: $o).
% 3.54/0.95 thf(decl_71, type, powersetE: $o).
% 3.54/0.95 thf(decl_72, type, setunionI: $o).
% 3.54/0.95 thf(decl_73, type, setunionE: $o).
% 3.54/0.95 thf(decl_74, type, subPowSU: $o).
% 3.54/0.95 thf(decl_75, type, exuE2: $o).
% 3.54/0.95 thf(decl_76, type, nonemptyImpWitness: $o).
% 3.54/0.95 thf(decl_77, type, uniqinunit: $o).
% 3.54/0.95 thf(decl_78, type, notinsingleton: $o).
% 3.54/0.95 thf(decl_79, type, eqinunit: $o).
% 3.54/0.95 thf(decl_80, type, singletonsswitch: $o).
% 3.54/0.95 thf(decl_81, type, upairsetE: $o).
% 3.54/0.95 thf(decl_82, type, upairsetIL: $o).
% 3.54/0.95 thf(decl_83, type, upairsetIR: $o).
% 3.54/0.95 thf(decl_84, type, emptyE1: $o).
% 3.54/0.95 thf(decl_85, type, vacuousDall: $o).
% 3.54/0.95 thf(decl_86, type, quantDeMorgan1: $o).
% 3.54/0.95 thf(decl_87, type, quantDeMorgan2: $o).
% 3.54/0.95 thf(decl_88, type, quantDeMorgan3: $o).
% 3.54/0.95 thf(decl_89, type, quantDeMorgan4: $o).
% 3.54/0.95 thf(decl_90, type, prop2setI: $o).
% 3.54/0.95 thf(decl_92, type, prop2set2propI: $o).
% 3.54/0.95 thf(decl_93, type, notdexE: $o).
% 3.54/0.95 thf(decl_94, type, notdallE: $o).
% 3.54/0.95 thf(decl_95, type, exuI1: $o).
% 3.54/0.95 thf(decl_96, type, exuI3: $o).
% 3.54/0.95 thf(decl_97, type, exuI2: $o).
% 3.54/0.95 thf(decl_98, type, inCongP: $o).
% 3.54/0.95 thf(decl_99, type, in__Cong: $o).
% 3.54/0.95 thf(decl_100, type, exuE3u: $o).
% 3.54/0.95 thf(decl_101, type, exu__Cong: $o).
% 3.54/0.95 thf(decl_102, type, emptyset__Cong: $o).
% 3.54/0.95 thf(decl_103, type, setadjoin__Cong: $o).
% 3.54/0.95 thf(decl_104, type, powerset__Cong: $o).
% 3.54/0.95 thf(decl_105, type, setunion__Cong: $o).
% 3.54/0.95 thf(decl_106, type, omega__Cong: $o).
% 3.54/0.95 thf(decl_107, type, exuEu: $o).
% 3.54/0.95 thf(decl_108, type, descr__Cong: $o).
% 3.54/0.95 thf(decl_109, type, dsetconstr__Cong: $o).
% 3.54/0.95 thf(decl_110, type, subset: $i > $i > $o).
% 3.54/0.95 thf(decl_113, type, subsetI1: $o).
% 3.54/0.95 thf(decl_114, type, eqimpsubset2: $o).
% 3.54/0.95 thf(decl_115, type, eqimpsubset1: $o).
% 3.54/0.95 thf(decl_116, type, subsetI2: $o).
% 3.54/0.95 thf(decl_117, type, emptysetsubset: $o).
% 3.54/0.95 thf(decl_118, type, subsetE: $o).
% 3.54/0.95 thf(decl_119, type, subsetE2: $o).
% 3.54/0.95 thf(decl_120, type, notsubsetI: $o).
% 3.54/0.95 thf(decl_121, type, notequalI1: $o).
% 3.54/0.95 thf(decl_122, type, notequalI2: $o).
% 3.54/0.95 thf(decl_123, type, subsetRefl: $o).
% 3.54/0.95 thf(decl_124, type, subsetTrans: $o).
% 3.54/0.95 thf(decl_125, type, setadjoinSub: $o).
% 3.54/0.95 thf(decl_126, type, setadjoinSub2: $o).
% 3.54/0.95 thf(decl_127, type, subset2powerset: $o).
% 3.54/0.95 thf(decl_128, type, setextsub: $o).
% 3.54/0.95 thf(decl_129, type, subsetemptysetimpeq: $o).
% 3.54/0.95 thf(decl_130, type, powersetI1: $o).
% 3.54/0.95 thf(decl_131, type, powersetE1: $o).
% 3.54/0.95 thf(decl_132, type, inPowerset: $o).
% 3.54/0.95 thf(decl_133, type, powersetsubset: $o).
% 3.54/0.95 thf(decl_134, type, sepInPowerset: $o).
% 3.54/0.95 thf(decl_135, type, sepSubset: $o).
% 3.54/0.95 thf(decl_136, type, binunion: $i > $i > $i).
% 3.54/0.95 thf(decl_137, type, binunionIL: $o).
% 3.54/0.95 thf(decl_138, type, upairset2IR: $o).
% 3.54/0.95 thf(decl_139, type, binunionIR: $o).
% 3.54/0.95 thf(decl_140, type, binunionEcases: $o).
% 3.54/0.95 thf(decl_141, type, binunionE: $o).
% 3.54/0.95 thf(decl_142, type, binunionLsub: $o).
% 3.54/0.95 thf(decl_143, type, binunionRsub: $o).
% 3.54/0.95 thf(decl_144, type, binintersect: $i > $i > $i).
% 3.54/0.95 thf(decl_145, type, binintersectI: $o).
% 3.54/0.95 thf(decl_146, type, binintersectSubset5: $o).
% 3.54/0.95 thf(decl_147, type, binintersectEL: $o).
% 3.54/0.95 thf(decl_148, type, binintersectLsub: $o).
% 3.54/0.95 thf(decl_149, type, binintersectSubset2: $o).
% 3.54/0.95 thf(decl_150, type, binintersectSubset3: $o).
% 3.54/0.95 thf(decl_151, type, binintersectER: $o).
% 3.54/0.95 thf(decl_152, type, disjointsetsI1: $o).
% 3.54/0.95 thf(decl_153, type, binintersectRsub: $o).
% 3.54/0.95 thf(decl_154, type, binintersectSubset4: $o).
% 3.54/0.95 thf(decl_155, type, binintersectSubset1: $o).
% 3.54/0.95 thf(decl_156, type, bs114d: $o).
% 3.54/0.95 thf(decl_158, type, setminus: $i > $i > $i).
% 3.54/0.95 thf(decl_159, type, setminusI: $o).
% 3.54/0.95 thf(decl_160, type, setminusEL: $o).
% 3.54/0.95 thf(decl_161, type, setminusER: $o).
% 3.54/0.95 thf(decl_162, type, setminusSubset2: $o).
% 3.54/0.95 thf(decl_163, type, setminusERneg: $o).
% 3.54/0.95 thf(decl_164, type, setminusELneg: $o).
% 3.54/0.95 thf(decl_165, type, setminusILneg: $o).
% 3.54/0.95 thf(decl_166, type, setminusIRneg: $o).
% 3.54/0.95 thf(decl_167, type, setminusLsub: $o).
% 3.54/0.95 thf(decl_168, type, setminusSubset1: $o).
% 3.54/0.95 thf(decl_169, type, symdiff: $i > $i > $i).
% 3.54/0.95 thf(decl_170, type, symdiffE: $o).
% 3.54/0.95 thf(decl_171, type, symdiffI1: $o).
% 3.54/0.95 thf(decl_172, type, symdiffI2: $o).
% 3.54/0.95 thf(decl_173, type, symdiffIneg1: $o).
% 3.54/0.95 thf(decl_174, type, symdiffIneg2: $o).
% 3.54/0.95 thf(decl_175, type, iskpair: $i > $o).
% 3.54/0.95 thf(decl_176, type, secondinupair: $o).
% 3.54/0.95 thf(decl_177, type, setukpairIL: $o).
% 3.54/0.95 thf(decl_178, type, setukpairIR: $o).
% 3.54/0.95 thf(decl_179, type, kpairiskpair: $o).
% 3.54/0.95 thf(decl_180, type, kpair: $i > $i > $i).
% 3.54/0.95 thf(decl_181, type, kpairp: $o).
% 3.54/0.95 thf(decl_182, type, cartprod: $i > $i > $i).
% 3.54/0.95 thf(decl_183, type, singletonsubset: $o).
% 3.54/0.95 thf(decl_184, type, singletoninpowerset: $o).
% 3.54/0.95 thf(decl_185, type, singletoninpowunion: $o).
% 3.54/0.95 thf(decl_186, type, upairset2E: $o).
% 3.54/0.95 thf(decl_187, type, upairsubunion: $o).
% 3.54/0.95 thf(decl_188, type, upairinpowunion: $o).
% 3.54/0.95 thf(decl_189, type, ubforcartprodlem1: $o).
% 3.54/0.95 thf(decl_190, type, ubforcartprodlem2: $o).
% 3.54/0.95 thf(decl_191, type, ubforcartprodlem3: $o).
% 3.54/0.95 thf(decl_192, type, cartprodpairin: $o).
% 3.54/0.95 thf(decl_193, type, cartprodmempair1: $o).
% 3.54/0.95 thf(decl_194, type, cartprodmempair: $o).
% 3.54/0.95 thf(decl_195, type, setunionE2: $o).
% 3.54/0.95 thf(decl_196, type, setunionsingleton1: $o).
% 3.54/0.95 thf(decl_197, type, setunionsingleton2: $o).
% 3.54/0.95 thf(decl_198, type, setunionsingleton: $o).
% 3.54/0.95 thf(decl_199, type, singleton: $i > $o).
% 3.54/0.95 thf(decl_200, type, singletonprop: $o).
% 3.54/0.95 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 3.54/0.95 thf(decl_202, type, ex1E1: $o).
% 3.54/0.95 thf(decl_203, type, ex1I: $o).
% 3.54/0.95 thf(decl_204, type, ex1I2: $o).
% 3.54/0.95 thf(decl_205, type, singletonsuniq: $o).
% 3.54/0.95 thf(decl_210, type, setukpairinjL1: $o).
% 3.54/0.95 thf(decl_211, type, kfstsingleton: $o).
% 3.54/0.95 thf(decl_212, type, theprop: $o).
% 3.54/0.95 thf(decl_213, type, kfst: $i > $i).
% 3.54/0.95 thf(decl_214, type, kfstpairEq: $o).
% 3.54/0.95 thf(decl_215, type, cartprodfstin: $o).
% 3.54/0.95 thf(decl_216, type, setukpairinjL2: $o).
% 3.54/0.95 thf(decl_217, type, setukpairinjL: $o).
% 3.54/0.95 thf(decl_218, type, setukpairinjR11: $o).
% 3.54/0.95 thf(decl_219, type, setukpairinjR12: $o).
% 3.54/0.95 thf(decl_220, type, setukpairinjR1: $o).
% 3.54/0.95 thf(decl_221, type, upairequniteq: $o).
% 3.54/0.95 thf(decl_222, type, setukpairinjR2: $o).
% 3.54/0.95 thf(decl_223, type, setukpairinjR: $o).
% 3.54/0.95 thf(decl_224, type, ksndsingleton: $o).
% 3.54/0.95 thf(decl_225, type, ksnd: $i > $i).
% 3.54/0.95 thf(decl_226, type, ksndpairEq: $o).
% 3.54/0.95 thf(decl_227, type, kpairsurjEq: $o).
% 3.54/0.95 thf(decl_228, type, cartprodsndin: $o).
% 3.54/0.95 thf(decl_229, type, cartprodpairmemEL: $o).
% 3.54/0.95 thf(decl_230, type, cartprodpairmemER: $o).
% 3.54/0.95 thf(decl_231, type, cartprodmempaircEq: $o).
% 3.54/0.95 thf(decl_232, type, cartprodfstpairEq: $o).
% 3.54/0.95 thf(decl_233, type, cartprodsndpairEq: $o).
% 3.54/0.95 thf(decl_234, type, cartprodpairsurjEq: $o).
% 3.54/0.95 thf(decl_235, type, breln: $i > $i > $i > $o).
% 3.54/0.95 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 3.54/0.95 thf(decl_237, type, dpsetconstrI: $o).
% 3.54/0.95 thf(decl_238, type, dpsetconstrSub: $o).
% 3.54/0.95 thf(decl_239, type, setOfPairsIsBReln: $o).
% 3.54/0.95 thf(decl_240, type, dpsetconstrERa: $o).
% 3.54/0.95 thf(decl_241, type, dpsetconstrEL1: $o).
% 3.54/0.95 thf(decl_242, type, dpsetconstrEL2: $o).
% 3.54/0.95 thf(decl_243, type, dpsetconstrER: $o).
% 3.54/0.95 thf(decl_244, type, func: $i > $i > $i > $o).
% 3.54/0.95 thf(decl_245, type, funcSet: $i > $i > $i).
% 3.54/0.95 thf(decl_246, type, funcImageSingleton: $o).
% 3.54/0.95 thf(decl_247, type, apProp: $o).
% 3.54/0.95 thf(decl_248, type, ap: $i > $i > $i > $i > $i).
% 3.54/0.95 thf(decl_249, type, app: $o).
% 3.54/0.95 thf(decl_250, type, infuncsetfunc: $o).
% 3.54/0.95 thf(decl_251, type, ap2p: $o).
% 3.54/0.95 thf(decl_252, type, funcinfuncset: $o).
% 3.54/0.95 thf(decl_253, type, lamProp: $o).
% 3.54/0.95 thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
% 3.54/0.95 thf(decl_255, type, lamp: $o).
% 3.54/0.95 thf(decl_256, type, lam2p: $o).
% 3.54/0.95 thf(decl_257, type, brelnall1: $o).
% 3.54/0.95 thf(decl_258, type, brelnall2: $o).
% 3.54/0.95 thf(decl_259, type, ex1E2: $o).
% 3.54/0.95 thf(decl_260, type, funcGraphProp1: $o).
% 3.54/0.95 thf(decl_261, type, funcGraphProp3: $o).
% 3.54/0.95 thf(decl_262, type, funcGraphProp2: $o).
% 3.54/0.95 thf(decl_263, type, funcextLem: $o).
% 3.54/0.95 thf(decl_264, type, funcGraphProp4: $o).
% 3.54/0.95 thf(decl_265, type, subbreln: $o).
% 3.54/0.95 thf(decl_266, type, eqbreln: $o).
% 3.54/0.95 thf(decl_267, type, funcext: $o).
% 3.54/0.95 thf(decl_268, type, funcext2: $o).
% 3.54/0.95 thf(decl_269, type, ap2apEq1: $o).
% 3.54/0.95 thf(decl_270, type, ap2apEq2: $o).
% 3.54/0.95 thf(decl_271, type, beta1: $o).
% 3.54/0.95 thf(decl_272, type, eta1: $o).
% 3.54/0.95 thf(decl_273, type, lam2lamEq: $o).
% 3.54/0.95 thf(decl_274, type, beta2: $o).
% 3.54/0.95 thf(decl_275, type, eta2: $o).
% 3.54/0.95 thf(decl_276, type, iffalseProp1: $o).
% 3.54/0.95 thf(decl_277, type, iffalseProp2: $o).
% 3.54/0.95 thf(decl_278, type, iftrueProp1: $o).
% 3.54/0.95 thf(decl_279, type, iftrueProp2: $o).
% 3.54/0.95 thf(decl_280, type, ifSingleton: $o).
% 3.54/0.95 thf(decl_281, type, if: $i > $o > $i > $i > $i).
% 3.54/0.95 thf(decl_282, type, ifp: $o).
% 3.54/0.95 thf(decl_283, type, theeq: $o).
% 3.54/0.95 thf(decl_284, type, iftrue: $o).
% 3.54/0.95 thf(decl_285, type, iffalse: $o).
% 3.54/0.95 thf(decl_286, type, iftrueorfalse: $o).
% 3.54/0.95 thf(decl_287, type, binintersectT_lem: $o).
% 3.54/0.95 thf(decl_288, type, binunionT_lem: $o).
% 3.54/0.95 thf(decl_289, type, powersetT_lem: $o).
% 3.54/0.95 thf(decl_290, type, setminusT_lem: $o).
% 3.54/0.95 thf(decl_291, type, complementT_lem: $o).
% 3.54/0.95 thf(decl_292, type, setextT: $o).
% 3.54/0.95 thf(decl_293, type, subsetTI: $o).
% 3.54/0.95 thf(decl_294, type, powersetTI1: $o).
% 3.54/0.95 thf(decl_295, type, powersetTE1: $o).
% 3.54/0.95 thf(decl_296, type, complementTI1: $o).
% 3.54/0.95 thf(decl_297, type, complementTE1: $o).
% 3.54/0.95 thf(decl_298, type, binintersectTELcontra: $o).
% 3.54/0.95 thf(decl_299, type, binintersectTERcontra: $o).
% 3.54/0.95 thf(decl_300, type, contrasubsetT: $o).
% 3.54/0.95 thf(decl_301, type, contrasubsetT1: $o).
% 3.54/0.95 thf(decl_302, type, contrasubsetT2: $o).
% 3.54/0.95 thf(decl_303, type, contrasubsetT3: $o).
% 3.54/0.95 thf(decl_304, type, doubleComplementI1: $o).
% 3.54/0.95 thf(decl_305, type, doubleComplementE1: $o).
% 3.54/0.95 thf(decl_306, type, doubleComplementSub1: $o).
% 3.54/0.95 thf(decl_307, type, doubleComplementSub2: $o).
% 3.54/0.95 thf(decl_308, type, doubleComplementEq: $o).
% 3.54/0.95 thf(decl_309, type, complementTnotintersectT: $o).
% 3.54/0.95 thf(decl_310, type, complementImpComplementIntersect: $o).
% 3.54/0.95 thf(decl_311, type, complementSubsetComplementIntersect: $o).
% 3.54/0.95 thf(decl_312, type, complementInPowersetComplementIntersect: $o).
% 3.54/0.95 thf(decl_313, type, contraSubsetComplement: $o).
% 3.54/0.95 thf(decl_314, type, complementTcontraSubset: $o).
% 3.54/0.95 thf(decl_315, type, binunionTILcontra: $o).
% 3.54/0.95 thf(decl_316, type, binunionTIRcontra: $o).
% 3.54/0.95 thf(decl_317, type, inIntersectImpInUnion: $o).
% 3.54/0.95 thf(decl_318, type, inIntersectImpInUnion2: $o).
% 3.54/0.95 thf(decl_319, type, inIntersectImpInIntersectUnions: $o).
% 3.54/0.95 thf(decl_320, type, intersectInPowersetIntersectUnions: $o).
% 3.54/0.95 thf(decl_321, type, inComplementUnionImpNotIn1: $o).
% 3.54/0.95 thf(decl_322, type, inComplementUnionImpInComplement1: $o).
% 3.54/0.95 thf(decl_323, type, binunionTE: $o).
% 3.54/0.95 thf(decl_324, type, binunionTEcontra: $o).
% 3.54/0.95 thf(decl_325, type, demorgan2a1: $o).
% 3.54/0.95 thf(decl_326, type, complementUnionInPowersetComplement: $o).
% 3.54/0.95 thf(decl_327, type, demorgan2a2: $o).
% 3.54/0.95 thf(decl_328, type, demorgan1a: $o).
% 3.54/0.95 thf(decl_329, type, demorgan1b: $o).
% 3.54/0.95 thf(decl_330, type, demorgan1: $o).
% 3.54/0.95 thf(decl_331, type, demorgan2a: $o).
% 3.54/0.95 thf(decl_332, type, demorgan2b2: $o).
% 3.54/0.95 thf(decl_333, type, demorgan2b: $o).
% 3.54/0.95 thf(decl_334, type, demorgan2: $o).
% 3.54/0.95 thf(decl_335, type, woz13rule0: $o).
% 3.54/0.95 thf(decl_336, type, woz13rule1: $o).
% 3.54/0.95 thf(decl_337, type, woz13rule2: $o).
% 3.54/0.95 thf(decl_338, type, woz13rule3: $o).
% 3.54/0.95 thf(decl_339, type, woz13rule4: $o).
% 3.54/0.95 thf(decl_340, type, woz1_1: $o).
% 3.54/0.95 thf(decl_341, type, woz1_2: $o).
% 3.54/0.95 thf(decl_342, type, woz1_3: $o).
% 3.54/0.95 thf(decl_343, type, epred1_0: $o).
% 3.54/0.95 thf(decl_344, type, esk1_2: $i > $i > $i).
% 3.54/0.95 thf(decl_345, type, esk2_2: $i > $i > $i).
% 3.54/0.95 thf(decl_346, type, esk3_2: $i > $i > $i).
% 3.54/0.95 thf(decl_347, type, esk4_1: $i > $i).
% 3.54/0.95 thf(decl_348, type, esk5_2: ($i > $i > $o) > $i > $i).
% 3.54/0.95 thf(decl_349, type, esk6_2: ($i > $i > $o) > $i > $i).
% 3.54/0.95 thf(decl_350, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 3.54/0.95 thf(decl_351, type, esk8_1: $i > $i).
% 3.54/0.95 thf(decl_352, type, esk9_1: ($i > $o) > $i).
% 3.54/0.95 thf(decl_353, type, esk10_1: ($i > $o) > $i).
% 3.54/0.95 thf(decl_354, type, esk11_2: $i > $i > $i).
% 3.54/0.95 thf(decl_355, type, esk12_2: $i > $i > $i).
% 3.54/0.95 thf(decl_356, type, esk13_1: $i > $i).
% 3.54/0.95 thf(decl_357, type, esk14_1: $i > $i).
% 3.54/0.95 thf(decl_358, type, esk15_1: $i > $i).
% 3.54/0.95 thf(decl_359, type, esk16_2: $i > $i > $i).
% 3.54/0.95 thf(decl_360, type, esk17_3: $i > $i > $o > $i).
% 3.54/0.95 thf(decl_361, type, esk18_1: ($i > $o) > $i).
% 3.54/0.95 thf(decl_362, type, esk19_1: $i > $i).
% 3.54/0.95 thf(decl_363, type, esk20_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_364, type, esk21_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_365, type, esk22_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_366, type, esk23_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_367, type, esk24_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_368, type, esk25_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_369, type, esk26_2: ($i > $o) > $i > $i).
% 3.54/0.95 thf(decl_370, type, esk27_1: ($i > $o) > $i).
% 3.54/0.95 thf(decl_371, type, esk28_1: ($i > $o) > $i).
% 3.54/0.95 thf(decl_372, type, esk29_2: ($i > $o) > $i > $i).
% 3.54/0.95 thf(decl_373, type, esk30_2: ($i > $o) > ($i > $o) > $i).
% 3.54/0.95 thf(decl_374, type, esk31_2: ($i > $o) > ($i > $o) > $i).
% 3.54/0.95 thf(decl_375, type, esk32_2: ($i > $o) > ($i > $o) > $i).
% 3.54/0.95 thf(decl_376, type, esk33_2: ($i > $o) > ($i > $o) > $i).
% 3.54/0.95 thf(decl_377, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 3.54/0.95 thf(decl_378, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 3.54/0.95 thf(decl_379, type, esk36_2: $i > $i > $i).
% 3.54/0.95 thf(decl_380, type, esk37_2: $i > $i > $i).
% 3.54/0.95 thf(decl_381, type, esk38_2: $i > $i > $i).
% 3.54/0.95 thf(decl_382, type, esk39_3: $i > $i > $i > $i).
% 3.54/0.95 thf(decl_383, type, esk40_3: $i > $i > $i > $i).
% 3.54/0.95 thf(decl_384, type, esk41_2: $i > $i > $i).
% 3.54/0.95 thf(decl_385, type, esk42_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_386, type, esk43_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_387, type, esk44_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_388, type, esk45_3: $i > ($i > $o) > $i > $i).
% 3.54/0.95 thf(decl_389, type, esk46_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_390, type, esk47_2: $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_391, type, esk48_3: $i > $i > ($i > $i) > $i).
% 3.54/0.95 thf(decl_392, type, esk49_3: $i > $i > ($i > $i) > $i).
% 3.54/0.95 thf(decl_393, type, esk50_3: $i > $i > ($i > $i) > $i).
% 3.54/0.95 thf(decl_394, type, esk51_4: $i > $i > $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_395, type, esk52_4: $i > $i > $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_396, type, esk53_4: $i > $i > $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_397, type, esk54_4: $i > $i > $i > ($i > $o) > $i).
% 3.54/0.95 thf(decl_398, type, esk55_4: $i > $i > $i > $i > $i).
% 3.54/0.95 thf(decl_399, type, esk56_4: $i > $i > $i > $i > $i).
% 3.54/0.95 thf(decl_400, type, esk57_4: $i > $i > $i > $i > $i).
% 3.54/0.95 thf(decl_401, type, esk58_4: $i > $i > $i > $i > $i).
% 3.54/0.95 thf(decl_402, type, esk59_4: $i > $i > $i > $i > $i).
% 3.54/0.95 thf(decl_403, type, esk60_4: $i > $i > $i > $i > $i).
% 3.54/0.95 thf(decl_404, type, esk61_4: $i > $i > $i > $i > $i).
% 3.54/0.95 thf(decl_405, type, esk62_4: $i > $i > $i > $i > $i).
% 3.54/0.95 thf(decl_406, type, esk63_4: $i > $i > $i > $i > $i).
% 3.54/0.95 thf(decl_407, type, esk64_3: $i > $i > ($i > $i) > $i).
% 3.54/0.95 thf(decl_408, type, esk65_3: $i > $i > ($i > $i) > $i).
% 3.54/0.95 thf(decl_409, type, esk66_3: $i > $i > ($i > $i) > $i).
% 3.54/0.95 thf(decl_410, type, esk67_3: $i > $i > $i > $i).
% 3.54/0.95 thf(decl_411, type, esk68_3: $i > $i > $i > $i).
% 3.54/0.95 thf(decl_412, type, esk69_3: $i > $i > $i > $i).
% 3.54/0.95 thf(decl_413, type, esk70_3: $i > $i > $i > $i).
% 3.54/0.95 thf(decl_414, type, esk71_0: $i).
% 3.54/0.95 thf(decl_415, type, esk72_0: $i).
% 3.54/0.95 thf(decl_416, type, esk73_0: $i).
% 3.54/0.95 thf(woz1_4, 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)=>![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.LGuqkXdZkq/E---3.1_852200.p', woz1_4)).
% 3.54/0.95 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', exu__Cong)).
% 3.54/0.95 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', exuE3u)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', exuEu)).
% 3.54/0.95 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', dsetconstr__Cong)).
% 3.54/0.95 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', descr__Cong)).
% 3.54/0.95 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', sepInPowerset)).
% 3.54/0.95 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', sepSubset)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', beta2)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', lam2lamEq)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', eta1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', beta1)).
% 3.54/0.95 thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X39))&(((X14)=(X2)))))|(((~((X39)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', iffalseProp1)).
% 3.54/0.95 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', kfstsingleton)).
% 3.54/0.95 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', ex1I2)).
% 3.54/0.95 thf(ex1I, axiom, ((ex1I)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', ex1I)).
% 3.54/0.95 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', ex1E1)).
% 3.54/0.95 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', singletonprop)).
% 3.54/0.95 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', ksndsingleton)).
% 3.54/0.95 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setOfPairsIsBReln)).
% 3.54/0.95 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', dpsetconstrSub)).
% 3.54/0.95 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', dpsetconstrI)).
% 3.54/0.95 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', dpsetconstrERa)).
% 3.54/0.95 thf(apProp, axiom, ((apProp)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', apProp)).
% 3.54/0.95 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', funcImageSingleton)).
% 3.54/0.95 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', dpsetconstrER)).
% 3.54/0.95 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', dpsetconstrEL2)).
% 3.54/0.95 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', dpsetconstrEL1)).
% 3.54/0.95 thf(ex1E2, axiom, ((ex1E2)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', ex1E2)).
% 3.54/0.95 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:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', lam2p)).
% 3.54/0.95 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', lamp)).
% 3.54/0.95 thf(lamProp, axiom, ((lamProp)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', lamProp)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', eta2)).
% 3.54/0.95 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X43))&(((X14)=(X2)))))|(((~((X43)))&(((X14)=(X3))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', ifSingleton)).
% 3.54/0.95 thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', iftrueProp2)).
% 3.54/0.95 thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X41))&(((X14)=(X2)))))|(((~((X41)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', iftrueProp1)).
% 3.54/0.95 thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', iffalseProp2)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', exuI2)).
% 3.54/0.95 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', exuI3)).
% 3.54/0.95 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', exuI1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', emptyE1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', exuE2)).
% 3.54/0.95 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setoftrueEq)).
% 3.54/0.95 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', nonemptyI)).
% 3.54/0.95 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setbeta)).
% 3.54/0.95 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', exuE3e)).
% 3.54/0.95 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', exuE1)).
% 3.54/0.95 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', dsetconstrER)).
% 3.54/0.95 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', dsetconstrEL)).
% 3.54/0.95 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', dsetconstrI)).
% 3.54/0.95 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', descrp)).
% 3.54/0.95 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', replAx)).
% 3.54/0.95 thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectTERcontra)).
% 3.54/0.95 thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectTELcontra)).
% 3.54/0.95 thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', contrasubsetT)).
% 3.54/0.95 thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', contrasubsetT1)).
% 3.54/0.95 thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', contrasubsetT2)).
% 3.54/0.95 thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', contrasubsetT3)).
% 3.54/0.95 thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', doubleComplementI1)).
% 3.54/0.95 thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', doubleComplementE1)).
% 3.54/0.95 thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', doubleComplementSub1)).
% 3.54/0.95 thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', doubleComplementSub2)).
% 3.54/0.95 thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', doubleComplementEq)).
% 3.54/0.95 thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', complementTnotintersectT)).
% 3.54/0.95 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', omega__Cong)).
% 3.54/0.95 thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', complementImpComplementIntersect)).
% 3.54/0.95 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setunion__Cong)).
% 3.54/0.95 thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', complementSubsetComplementIntersect)).
% 3.54/0.95 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', powerset__Cong)).
% 3.54/0.95 thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', complementInPowersetComplementIntersect)).
% 3.54/0.95 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setadjoin__Cong)).
% 3.54/0.95 thf(contraSubsetComplement, axiom, ((contraSubsetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ (setminus @ X4 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', contraSubsetComplement)).
% 3.54/0.95 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', in__Cong)).
% 3.54/0.95 thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', complementTcontraSubset)).
% 3.54/0.95 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', emptyset__Cong)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', binunionTILcontra)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', binunionTIRcontra)).
% 3.54/0.95 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:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X21 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', inIntersectImpInUnion)).
% 3.54/0.95 thf(inIntersectImpInUnion2, axiom, ((inIntersectImpInUnion2)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', inIntersectImpInUnion2)).
% 3.54/0.95 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:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', inIntersectImpInIntersectUnions)).
% 3.54/0.95 thf(intersectInPowersetIntersectUnions, axiom, ((intersectInPowersetIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', intersectInPowersetIntersectUnions)).
% 3.54/0.95 thf(inComplementUnionImpNotIn1, axiom, ((inComplementUnionImpNotIn1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', inComplementUnionImpNotIn1)).
% 3.54/0.95 thf(inComplementUnionImpInComplement1, axiom, ((inComplementUnionImpInComplement1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', inComplementUnionImpInComplement1)).
% 3.54/0.95 thf(binunionTE, axiom, ((binunionTE)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', binunionTE)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', binunionTEcontra)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', demorgan2a1)).
% 3.54/0.95 thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', complementUnionInPowersetComplement)).
% 3.54/0.95 thf(demorgan2a2, axiom, ((demorgan2a2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', demorgan2a2)).
% 3.54/0.95 thf(demorgan1a, axiom, ((demorgan1a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48)))=>(in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', demorgan1a)).
% 3.54/0.95 thf(demorgan1b, axiom, ((demorgan1b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', demorgan1b)).
% 3.54/0.95 thf(demorgan1, axiom, ((demorgan1)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', demorgan1)).
% 3.54/0.95 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', emptysetsubset)).
% 3.54/0.95 thf(demorgan2a, axiom, ((demorgan2a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', demorgan2a)).
% 3.54/0.95 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', subsetI2)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', demorgan2b2)).
% 3.54/0.95 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', eqimpsubset1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', demorgan2b)).
% 3.54/0.95 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', eqimpsubset2)).
% 3.54/0.95 thf(demorgan2, axiom, ((demorgan2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binunion @ X21 @ X48))=(binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', demorgan2)).
% 3.54/0.95 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', subsetI1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', woz13rule0)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', woz13rule1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', woz13rule2)).
% 3.54/0.95 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', subsetE)).
% 3.54/0.95 thf(woz13rule3, axiom, ((woz13rule3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', woz13rule3)).
% 3.54/0.95 thf(woz13rule4, axiom, ((woz13rule4)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', woz13rule4)).
% 3.54/0.95 thf(woz1_1, axiom, ((woz1_1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', woz1_1)).
% 3.54/0.95 thf(woz1_2, axiom, ((woz1_2)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', woz1_2)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', woz1_3)).
% 3.54/0.95 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setadjoinSub)).
% 3.54/0.95 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', subsetTrans)).
% 3.54/0.95 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', subsetRefl)).
% 3.54/0.95 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', notequalI2)).
% 3.54/0.95 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', notequalI1)).
% 3.54/0.95 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', notsubsetI)).
% 3.54/0.95 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', subsetE2)).
% 3.54/0.95 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setadjoinSub2)).
% 3.54/0.95 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setminusSubset2)).
% 3.54/0.95 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', powersetsubset)).
% 3.54/0.95 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', inPowerset)).
% 3.54/0.95 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', powersetE1)).
% 3.54/0.95 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', powersetI1)).
% 3.54/0.95 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', subsetemptysetimpeq)).
% 3.54/0.95 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setextsub)).
% 3.54/0.95 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', subset2powerset)).
% 3.54/0.95 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binunionLsub)).
% 3.54/0.95 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binunionE)).
% 3.54/0.95 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binunionEcases)).
% 3.54/0.95 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binunionIR)).
% 3.54/0.95 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', upairset2IR)).
% 3.54/0.95 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binunionIL)).
% 3.54/0.95 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binunionRsub)).
% 3.54/0.95 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectER)).
% 3.54/0.95 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectSubset3)).
% 3.54/0.95 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectSubset2)).
% 3.54/0.95 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectLsub)).
% 3.54/0.95 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectEL)).
% 3.54/0.95 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectSubset5)).
% 3.54/0.95 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectI)).
% 3.54/0.95 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', disjointsetsI1)).
% 3.54/0.95 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setminusER)).
% 3.54/0.95 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setminusEL)).
% 3.54/0.95 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setminusI)).
% 3.54/0.95 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', bs114d)).
% 3.54/0.95 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectSubset1)).
% 3.54/0.95 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectSubset4)).
% 3.54/0.95 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binintersectRsub)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', ap2apEq2)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', ap2apEq1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', iftrue)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', symdiffE)).
% 3.54/0.95 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setminusSubset1)).
% 3.54/0.95 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setminusLsub)).
% 3.54/0.95 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setminusIRneg)).
% 3.54/0.95 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setminusILneg)).
% 3.54/0.95 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setminusELneg)).
% 3.54/0.95 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setminusERneg)).
% 3.54/0.95 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', symdiffI1)).
% 3.54/0.95 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', kpairiskpair)).
% 3.54/0.95 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setukpairIR)).
% 3.54/0.95 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setukpairIL)).
% 3.54/0.95 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', secondinupair)).
% 3.54/0.95 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', symdiffIneg2)).
% 3.54/0.95 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', symdiffIneg1)).
% 3.54/0.95 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', symdiffI2)).
% 3.54/0.95 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', kpairp)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', ubforcartprodlem1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', upairinpowunion)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', upairsubunion)).
% 3.54/0.95 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', upairset2E)).
% 3.54/0.95 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', singletoninpowunion)).
% 3.54/0.95 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', singletoninpowerset)).
% 3.54/0.95 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', singletonsubset)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', ubforcartprodlem2)).
% 3.54/0.95 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setunionsingleton2)).
% 3.54/0.95 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setunionsingleton1)).
% 3.54/0.95 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setunionE2)).
% 3.54/0.95 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', cartprodmempair)).
% 3.54/0.95 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', cartprodmempair1)).
% 3.54/0.95 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', cartprodpairin)).
% 3.54/0.95 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', ubforcartprodlem3)).
% 3.54/0.95 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setunionsingleton)).
% 3.54/0.95 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setukpairinjL1)).
% 3.54/0.95 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', singletonsuniq)).
% 3.54/0.95 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', theprop)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', setukpairinjR1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', setukpairinjR12)).
% 3.54/0.95 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setukpairinjR11)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', setukpairinjL)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', setukpairinjL2)).
% 3.54/0.95 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', cartprodfstin)).
% 3.54/0.95 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', kfstpairEq)).
% 3.54/0.95 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', upairequniteq)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', cartprodpairmemEL)).
% 3.54/0.95 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', cartprodsndin)).
% 3.54/0.95 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', kpairsurjEq)).
% 3.54/0.95 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', ksndpairEq)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', setukpairinjR)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', setukpairinjR2)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', cartprodpairmemER)).
% 3.54/0.95 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', cartprodpairsurjEq)).
% 3.54/0.95 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', cartprodsndpairEq)).
% 3.54/0.95 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', cartprodfstpairEq)).
% 3.54/0.95 thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', cartprodmempaircEq)).
% 3.54/0.95 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', infuncsetfunc)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', app)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', ap2p)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', brelnall2)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', brelnall1)).
% 3.54/0.95 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', funcinfuncset)).
% 3.54/0.95 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', funcGraphProp1)).
% 3.54/0.95 thf(funcext, axiom, ((funcext)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', funcext)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', eqbreln)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', subbreln)).
% 3.54/0.95 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', funcGraphProp4)).
% 3.54/0.95 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', funcextLem)).
% 3.54/0.95 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', funcGraphProp2)).
% 3.54/0.95 thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', funcGraphProp3)).
% 3.54/0.95 thf(funcext2, axiom, ((funcext2)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', funcext2)).
% 3.54/0.95 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', theeq)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', ifp)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', iffalse)).
% 3.54/0.95 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:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setextT)).
% 3.54/0.95 thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', complementT_lem)).
% 3.54/0.95 thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', setminusT_lem)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', powersetT_lem)).
% 3.54/0.95 thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', binunionT_lem)).
% 3.54/0.95 thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', binintersectT_lem)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', iftrueorfalse)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', powersetTI1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', powersetTE1)).
% 3.54/0.95 thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', complementTI1)).
% 3.54/0.95 thf(complementTE1, axiom, ((complementTE1)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', complementTE1)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', subsetTI)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', inCongP)).
% 3.54/0.95 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', notdallE)).
% 3.54/0.95 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', notdexE)).
% 3.54/0.95 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', prop2setI)).
% 3.54/0.95 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', quantDeMorgan4)).
% 3.54/0.95 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', quantDeMorgan3)).
% 3.54/0.95 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', quantDeMorgan2)).
% 3.54/0.95 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', quantDeMorgan1)).
% 3.54/0.95 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', vacuousDall)).
% 3.54/0.95 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', upairsetIR)).
% 3.54/0.95 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', upairsetIL)).
% 3.54/0.95 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', upairsetE)).
% 3.54/0.95 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', singletonsswitch)).
% 3.54/0.95 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', eqinunit)).
% 3.54/0.95 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', notinsingleton)).
% 3.54/0.95 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', uniqinunit)).
% 3.54/0.95 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', nonemptyImpWitness)).
% 3.54/0.95 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', subPowSU)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', setunionE)).
% 3.54/0.95 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setunionI)).
% 3.54/0.95 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', powersetE)).
% 3.54/0.95 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', emptyInPowerset)).
% 3.54/0.95 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', emptyinPowerset)).
% 3.54/0.95 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', powersetI)).
% 3.54/0.95 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setadjoinOr)).
% 3.54/0.95 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.LGuqkXdZkq/E---3.1_852200.p', setadjoinE)).
% 3.54/0.95 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setadjoinIR)).
% 3.54/0.95 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', emptyinunitempty)).
% 3.54/0.95 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setadjoinIL)).
% 3.54/0.95 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', nonemptyI1)).
% 3.54/0.95 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', nonemptyE1)).
% 3.54/0.95 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', noeltsimpempty)).
% 3.54/0.95 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', emptyI)).
% 3.54/0.95 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setext)).
% 3.54/0.95 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', notinemptyset)).
% 3.54/0.95 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', emptysetimpfalse)).
% 3.54/0.95 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', emptysetE)).
% 3.54/0.95 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', prop2setE)).
% 3.54/0.95 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', wellorderingAx)).
% 3.54/0.95 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', foundationAx)).
% 3.54/0.95 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.LGuqkXdZkq/E---3.1_852200.p', omegaIndAx)).
% 3.54/0.95 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', omegaSAx)).
% 3.54/0.95 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', omega0Ax)).
% 3.54/0.95 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setunionAx)).
% 3.54/0.95 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', powersetAx)).
% 3.54/0.95 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setadjoinAx)).
% 3.54/0.95 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', emptysetAx)).
% 3.54/0.95 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.LGuqkXdZkq/E---3.1_852200.p', setextAx)).
% 3.54/0.95 thf(c_0_282, 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)=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[woz1_4])).
% 3.54/0.95 thf(c_0_283, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 3.54/0.95 thf(c_0_284, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 3.54/0.95 thf(c_0_285, 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])).
% 3.54/0.95 thf(c_0_286, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 3.54/0.95 thf(c_0_287, plain, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 3.54/0.95 thf(c_0_288, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 3.54/0.95 thf(c_0_289, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 3.54/0.95 thf(c_0_290, 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])).
% 3.54/0.95 thf(c_0_291, 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])).
% 3.54/0.95 thf(c_0_292, 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])).
% 3.54/0.95 thf(c_0_293, 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])).
% 3.54/0.95 thf(c_0_294, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X39))&(((Z0)=(X2)))))|(((~((X39)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
% 3.54/0.95 thf(c_0_295, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 3.54/0.95 thf(c_0_296, plain, ((ex1I2)<=>![X4:$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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 3.54/0.95 thf(c_0_297, plain, ((ex1I)<=>![X4:$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])).
% 3.54/0.95 thf(c_0_298, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 3.54/0.95 thf(c_0_299, plain, ((singletonprop)<=>![X4:$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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 3.54/0.95 thf(c_0_300, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 3.54/0.95 thf(c_0_301, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 3.54/0.95 thf(c_0_302, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 3.54/0.95 thf(c_0_303, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 3.54/0.95 thf(c_0_304, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 3.54/0.95 thf(c_0_305, plain, ((apProp)<=>![X4:$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])).
% 3.54/0.95 thf(c_0_306, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
% 3.54/0.95 thf(c_0_307, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 3.54/0.95 thf(c_0_308, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 3.54/0.95 thf(c_0_309, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 3.54/0.95 thf(c_0_310, plain, ((ex1E2)<=>![X4:$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])).
% 3.54/0.95 thf(c_0_311, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
% 3.54/0.95 thf(c_0_312, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
% 3.54/0.95 thf(c_0_313, plain, ((lamProp)<=>![X4:$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])).
% 3.54/0.95 thf(c_0_314, 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])).
% 3.54/0.95 thf(c_0_315, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X43))&(((Z0)=(X2)))))|(((~((X43)))&(((Z0)=(X3))))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
% 3.54/0.95 thf(c_0_316, plain, ((iftrueProp2)<=>![X4:$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])).
% 3.54/0.95 thf(c_0_317, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X41))&(((Z0)=(X2)))))|(((~((X41)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
% 3.54/0.95 thf(c_0_318, plain, ((iffalseProp2)<=>![X4:$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])).
% 3.54/0.95 thf(c_0_319, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 3.54/0.95 thf(c_0_320, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 3.54/0.95 thf(c_0_321, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 3.54/0.95 thf(c_0_322, 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])).
% 3.54/0.95 thf(c_0_323, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 3.54/0.95 thf(c_0_324, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 3.54/0.95 thf(c_0_325, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 3.54/0.95 thf(c_0_326, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 3.54/0.95 thf(c_0_327, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 3.54/0.95 thf(c_0_328, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 3.54/0.95 thf(c_0_329, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 3.54/0.95 thf(c_0_330, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 3.54/0.95 thf(c_0_331, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 3.54/0.95 thf(c_0_332, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 3.54/0.95 thf(c_0_333, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 3.54/0.95 thf(c_0_334, plain, ((epred1_0)<=>![X982:$i]:(?[X983:$i]:((((![X984:$i]:(((in @ X984 @ X983)=>![X985:$i]:(((in @ X985 @ X984)=>(in @ X985 @ X982)))))&![X986:$i, X987:$i]:((((in @ X986 @ X982)&(in @ X987 @ X982))=>(![X988:$i]:(((in @ X988 @ X983)=>((in @ X986 @ X988)<=>(in @ X987 @ X988))))=>((X986)=(X987))))))&![X989:$i, X990:$i]:((((in @ X989 @ X983)&(in @ X990 @ X983))=>(![X991:$i]:(((in @ X991 @ X989)=>(in @ X991 @ X990)))|![X992:$i]:(((in @ X992 @ X990)=>(in @ X992 @ X989)))))))&![X993:$i]:(((![X994:$i]:(((in @ X994 @ X993)=>(in @ X994 @ X982)))&?[X995:$i]:((in @ X995 @ X993)))=>?[X996:$i, X997:$i]:(((((in @ X996 @ X983)&(in @ X997 @ X993))&~(?[X998:$i]:(((in @ X998 @ X996)&(in @ X998 @ X993)))))&![X999:$i]:(((in @ X999 @ X983)=>(![X1000:$i]:(((in @ X1000 @ X999)=>(in @ X1000 @ X996)))|(in @ X997 @ X999)))))))))))), introduced(definition)).
% 3.54/0.95 thf(c_0_335, negated_conjecture, ~((![X955:$i, X956:$i]:((![X957:$i]:(((in @ X957 @ X955)<=>(in @ X957 @ X956)))=>((X955)=(X956))))=>(![X958:$i]:(~(in @ X958 @ emptyset))=>(![X959:$i, X960:$i, X961:$i]:(((in @ X961 @ (setadjoin @ X959 @ X960))<=>(((X961)=(X959))|(in @ X961 @ X960))))=>(![X962:$i, X963:$i]:(((in @ X963 @ (powerset @ X962))<=>![X964:$i]:(((in @ X964 @ X963)=>(in @ X964 @ X962)))))=>(![X965:$i, X966:$i]:(((in @ X966 @ (setunion @ X965))<=>?[X967:$i]:(((in @ X966 @ X967)&(in @ X967 @ X965)))))=>((in @ emptyset @ omega)=>(![X968:$i]:(((in @ X968 @ omega)=>(in @ (setadjoin @ X968 @ X968) @ omega)))=>(![X969:$i]:((((in @ emptyset @ X969)&![X970:$i]:((((in @ X970 @ omega)&(in @ X970 @ X969))=>(in @ (setadjoin @ X970 @ X970) @ X969))))=>![X971:$i]:(((in @ X971 @ omega)=>(in @ X971 @ X969)))))=>(![X972:$i > $i > $o, X973:$i]:((![X974:$i]:(((in @ X974 @ X973)=>(exu @ (X972 @ X974))))=>?[X975:$i]:(![X976:$i]:(((in @ X976 @ X975)<=>?[X977:$i]:(((in @ X977 @ X973)&(X972 @ X977 @ X976))))))))=>(![X978:$i]:((?[X979:$i]:((in @ X979 @ X978))=>?[X980:$i]:(((in @ X980 @ X978)&~(?[X981:$i]:(((in @ X981 @ X980)&(in @ X981 @ X978))))))))=>((epred1_0)=>(![X1001:$i > $o]:(((exu @ X1001)=>(X1001 @ (descr @ (^[Z0:$i]:(X1001 @ Z0))))))=>(![X1002:$i, X1003:$i > $o, X1004:$i]:(((in @ X1004 @ X1002)=>((X1003 @ X1004)=>(in @ X1004 @ (dsetconstr @ X1002 @ X1003)))))=>(![X1005:$i, X1006:$i > $o, X1007:$i]:(((in @ X1007 @ (dsetconstr @ X1005 @ X1006))=>(in @ X1007 @ X1005)))=>(![X1008:$i, X1009:$i > $o, X1010:$i]:(((in @ X1010 @ (dsetconstr @ X1008 @ X1009))=>(X1009 @ X1010)))=>(![X1011:$i > $o]:(((exu @ X1011)=>?[X1012:$i]:(((X1011 @ X1012)&![X1013:$i]:(((X1011 @ X1013)=>((X1012)=(X1013))))))))=>(![X1014:$o, X1015:$i]:(((in @ X1015 @ (prop2set @ ((X1014))))=>(X1014)))=>(![X1016:$i]:(((in @ X1016 @ emptyset)=>![X1017:$o]:((X1017))))=>(![X1018:$i]:(((in @ X1018 @ emptyset)=>~($true)))=>(![X1019:$i]:(~(in @ X1019 @ emptyset))=>(![X1020:$i > $o]:(((exu @ X1020)=>?[X1021:$i]:((X1020 @ X1021))))=>(![X1022:$i, X1023:$i]:((![X1024:$i]:(((in @ X1024 @ X1022)=>(in @ X1024 @ X1023)))=>(![X1025:$i]:(((in @ X1025 @ X1023)=>(in @ X1025 @ X1022)))=>((X1022)=(X1023)))))=>(![X1026:$i]:((![X1027:$i]:(~(in @ X1027 @ X1026))=>((X1026)=(emptyset))))=>(![X1028:$i]:((![X1029:$i]:(~(in @ X1029 @ X1028))=>((X1028)=(emptyset))))=>(![X1030:$i, X1031:$i > $o, X1032:$i]:(((in @ X1032 @ X1030)=>((in @ X1032 @ (dsetconstr @ X1030 @ X1031))<=>(X1031 @ X1032))))=>(![X1033:$i]:(((nonempty @ X1033)=>?[X1034:$i]:((in @ X1034 @ X1033))))=>(![X1035:$i, X1036:$i > $o, X1037:$i]:(((in @ X1037 @ X1035)=>((X1036 @ X1037)=>(nonempty @ (dsetconstr @ X1035 @ X1036)))))=>(![X1038:$i]:((?[X1039:$i]:((in @ X1039 @ X1038))=>(nonempty @ X1038)))=>(![X1040:$i, X1041:$i]:((in @ X1040 @ (setadjoin @ X1040 @ X1041)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1042:$i, X1043:$i, X1044:$i]:(((in @ X1044 @ X1043)=>(in @ X1044 @ (setadjoin @ X1042 @ X1043))))=>(![X1045:$i, X1046:$i, X1047:$i]:(((in @ X1047 @ (setadjoin @ X1045 @ X1046))=>![X1048:$o]:(((((X1047)=(X1045))=>(X1048))=>(((in @ X1047 @ X1046)=>(X1048))=>(X1048))))))=>(![X1049:$i, X1050:$i, X1051:$i]:(((in @ X1051 @ (setadjoin @ X1049 @ X1050))=>(((X1051)=(X1049))|(in @ X1051 @ X1050))))=>(![X1052:$i]:(((dsetconstr @ X1052 @ (^[Z0:$i]:($true)))=(X1052)))=>(![X1053:$i, X1054:$i]:((![X1055:$i]:(((in @ X1055 @ X1054)=>(in @ X1055 @ X1053)))=>(in @ X1054 @ (powerset @ X1053))))=>(![X1056:$i]:((in @ emptyset @ (powerset @ X1056)))=>(![X1057:$i]:((in @ emptyset @ (powerset @ X1057)))=>(![X1058:$i, X1059:$i, X1060:$i]:(((in @ X1059 @ (powerset @ X1058))=>((in @ X1060 @ X1059)=>(in @ X1060 @ X1058))))=>(![X1061:$i, X1062:$i, X1063:$i]:(((in @ X1062 @ X1063)=>((in @ X1063 @ X1061)=>(in @ X1062 @ (setunion @ X1061)))))=>(![X1064:$i, X1065:$i]:(((in @ X1065 @ (setunion @ X1064))=>![X1066:$o]:((![X1067:$i]:(((in @ X1065 @ X1067)=>((in @ X1067 @ X1064)=>(X1066))))=>(X1066)))))=>(![X1068:$i, X1069:$i]:(((in @ X1069 @ X1068)=>(in @ X1069 @ (powerset @ (setunion @ X1068)))))=>(![X1070:$i > $o]:(((exu @ X1070)=>?[X1071:$i]:(![X1072:$i]:(((X1070 @ X1072)<=>((X1072)=(X1071)))))))=>(![X1073:$i]:(((nonempty @ X1073)=>?[X1074:$i]:(((in @ X1074 @ X1073)&$true))))=>(![X1075:$i, X1076:$i]:(((in @ X1075 @ (setadjoin @ X1076 @ emptyset))=>((X1075)=(X1076))))=>(![X1077:$i, X1078:$i]:((((X1077)!=(X1078))=>~(in @ X1078 @ (setadjoin @ X1077 @ emptyset))))=>(![X1079:$i, X1080:$i]:((((X1079)=(X1080))=>(in @ X1079 @ (setadjoin @ X1080 @ emptyset))))=>(![X1081:$i, X1082:$i]:(((in @ X1081 @ (setadjoin @ X1082 @ emptyset))=>(in @ X1082 @ (setadjoin @ X1081 @ emptyset))))=>(![X1083:$i, X1084:$i, X1085:$i]:(((in @ X1085 @ (setadjoin @ X1083 @ (setadjoin @ X1084 @ emptyset)))=>(((X1085)=(X1083))|((X1085)=(X1084)))))=>(![X1086:$i, X1087:$i]:((in @ X1086 @ (setadjoin @ X1086 @ (setadjoin @ X1087 @ emptyset))))=>(![X1088:$i, X1089:$i]:((in @ X1089 @ (setadjoin @ X1088 @ (setadjoin @ X1089 @ emptyset))))=>(![X1090:$i, X1091:$i > $o]:((?[X1092:$i]:(((in @ X1092 @ X1090)&(X1091 @ X1092)))=>(((dsetconstr @ X1090 @ X1091)=(emptyset))=>~($true))))=>(![X1093:$i > $o, X1094:$i]:(((in @ X1094 @ emptyset)=>(X1093 @ X1094)))=>(![X1095:$i, X1096:$i > $o]:((~(![X1097:$i]:(((in @ X1097 @ X1095)=>(X1096 @ X1097))))=>?[X1098:$i]:(((in @ X1098 @ X1095)&~((X1096 @ X1098))))))=>(![X1099:$i, X1100:$i > $o]:((![X1101:$i]:(((in @ X1101 @ X1099)=>~((X1100 @ X1101))))=>~(?[X1102:$i]:(((in @ X1102 @ X1099)&(X1100 @ X1102))))))=>(![X1103:$i, X1104:$i > $o]:((~(?[X1105:$i]:(((in @ X1105 @ X1103)&(X1104 @ X1105))))=>![X1106:$i]:(((in @ X1106 @ X1103)=>~((X1104 @ X1106))))))=>(![X1107:$i, X1108:$i > $o]:((?[X1109:$i]:(((in @ X1109 @ X1107)&~((X1108 @ X1109))))=>~(![X1110:$i]:(((in @ X1110 @ X1107)=>(X1108 @ X1110))))))=>(![X1111:$o]:(((X1111)=>(in @ emptyset @ (prop2set @ ((X1111))))))=>((prop2set2propI)=>(![X1112:$i, X1113:$i > $o]:((~(?[X1114:$i]:(((in @ X1114 @ X1112)&(X1113 @ X1114))))=>![X1115:$i]:(((in @ X1115 @ X1112)=>~((X1113 @ X1115))))))=>(![X1116:$i, X1117:$i > $o]:((~(![X1118:$i]:(((in @ X1118 @ X1116)=>(X1117 @ X1118))))=>?[X1119:$i]:(((in @ X1119 @ X1116)&~((X1117 @ X1119))))))=>(![X1120:$i > $o]:((?[X1121:$i]:(((X1120 @ X1121)&![X1122:$i]:(((X1120 @ X1122)=>((X1121)=(X1122))))))=>(exu @ X1120)))=>(![X1123:$i > $o]:((?[X1124:$i]:((X1123 @ X1124))=>(![X1125:$i, X1126:$i]:(((X1123 @ X1125)=>((X1123 @ X1126)=>((X1125)=(X1126)))))=>(exu @ X1123))))=>(![X1127:$i > $o]:((?[X1128:$i]:(![X1129:$i]:(((X1127 @ X1129)<=>((X1129)=(X1128)))))=>(exu @ X1127)))=>(![X1130:$i, X1131:$i]:((((X1130)=(X1131))=>![X1132:$i, X1133:$i]:((((X1132)=(X1133))=>((in @ X1132 @ X1130)=>(in @ X1133 @ X1131))))))=>(![X1134:$i, X1135:$i]:((((X1134)=(X1135))=>![X1136:$i, X1137:$i]:((((X1136)=(X1137))=>((in @ X1136 @ X1134)<=>(in @ X1137 @ X1135))))))=>(![X1138:$i > $o]:(((exu @ X1138)=>![X1139:$i, X1140:$i]:(((X1138 @ X1139)=>((X1138 @ X1140)=>((X1139)=(X1140)))))))=>(![X1141:$i > $o, X1142:$i > $o]:((![X1143:$i, X1144:$i]:((((X1143)=(X1144))=>((X1141 @ X1143)<=>(X1142 @ X1144))))=>((exu @ X1141)<=>(exu @ X1142))))=>(((emptyset)=(emptyset))=>(![X1145:$i, X1146:$i]:((((X1145)=(X1146))=>![X1147:$i, X1148:$i]:((((X1147)=(X1148))=>((setadjoin @ X1145 @ X1147)=(setadjoin @ X1146 @ X1148))))))=>(![X1149:$i, X1150:$i]:((((X1149)=(X1150))=>((powerset @ X1149)=(powerset @ X1150))))=>(![X1151:$i, X1152:$i]:((((X1151)=(X1152))=>((setunion @ X1151)=(setunion @ X1152))))=>(((omega)=(omega))=>(![X1153:$i > $o]:(((exu @ X1153)=>![X1154:$i, X1155:$i]:(((X1153 @ X1154)=>((X1153 @ X1155)=>((X1154)=(X1155)))))))=>(![X1156:$i > $o, X1157:$i > $o]:((![X1158:$i, X1159:$i]:((((X1158)=(X1159))=>((X1156 @ X1158)<=>(X1157 @ X1159))))=>((exu @ X1156)=>((exu @ X1157)=>((descr @ X1156)=(descr @ X1157))))))=>(![X1160:$i, X1161:$i]:((((X1160)=(X1161))=>![X1162:$i > $o, X1163:$i > $o]:((![X1164:$i]:(((in @ X1164 @ X1160)=>![X1165:$i]:(((in @ X1165 @ X1161)=>(((X1164)=(X1165))=>((X1162 @ X1164)<=>(X1163 @ X1165)))))))=>((dsetconstr @ X1160 @ X1162)=(dsetconstr @ X1161 @ X1163))))))=>(![X1166:$i, X1167:$i]:((![X1168:$i]:(((in @ X1168 @ X1166)=>(in @ X1168 @ X1167)))=>(subset @ X1166 @ X1167)))=>(![X1169:$i, X1170:$i]:((((X1169)=(X1170))=>(subset @ X1170 @ X1169)))=>(![X1171:$i, X1172:$i]:((((X1171)=(X1172))=>(subset @ X1171 @ X1172)))=>(![X1173:$i, X1174:$i]:((![X1175:$i]:(((in @ X1175 @ X1173)=>(in @ X1175 @ X1174)))=>(subset @ X1173 @ X1174)))=>(![X1176:$i]:((subset @ emptyset @ X1176))=>(![X1177:$i, X1178:$i, X1179:$i]:(((subset @ X1177 @ X1178)=>((in @ X1179 @ X1177)=>(in @ X1179 @ X1178))))=>(![X1180:$i, X1181:$i, X1182:$i]:(((subset @ X1180 @ X1181)=>(~(in @ X1182 @ X1181)=>~(in @ X1182 @ X1180))))=>(![X1183:$i, X1184:$i, X1185:$i]:(((in @ X1185 @ X1183)=>(~(in @ X1185 @ X1184)=>~(subset @ X1183 @ X1184))))=>(![X1186:$i, X1187:$i]:((~(subset @ X1186 @ X1187)=>((X1186)!=(X1187))))=>(![X1188:$i, X1189:$i, X1190:$i]:(((in @ X1190 @ X1188)=>(~(in @ X1190 @ X1189)=>((X1188)!=(X1189)))))=>(![X1191:$i]:((subset @ X1191 @ X1191))=>(![X1192:$i, X1193:$i, X1194:$i]:(((subset @ X1192 @ X1193)=>((subset @ X1193 @ X1194)=>(subset @ X1192 @ X1194))))=>(![X1195:$i, X1196:$i]:((subset @ X1196 @ (setadjoin @ X1195 @ X1196)))=>(![X1197:$i, X1198:$i, X1199:$i]:(((subset @ X1197 @ X1199)=>(subset @ X1197 @ (setadjoin @ X1198 @ X1199))))=>(![X1200:$i, X1201:$i]:(((subset @ X1200 @ X1201)=>(in @ X1200 @ (powerset @ X1201))))=>(![X1202:$i, X1203:$i]:(((subset @ X1202 @ X1203)=>((subset @ X1203 @ X1202)=>((X1202)=(X1203)))))=>(![X1204:$i]:(((subset @ X1204 @ emptyset)=>((X1204)=(emptyset))))=>(![X1205:$i, X1206:$i]:(((subset @ X1206 @ X1205)=>(in @ X1206 @ (powerset @ X1205))))=>(![X1207:$i, X1208:$i]:(((in @ X1208 @ (powerset @ X1207))=>(subset @ X1208 @ X1207)))=>(![X1209:$i]:((in @ X1209 @ (powerset @ X1209)))=>(![X1210:$i, X1211:$i]:(((subset @ X1210 @ X1211)=>(subset @ (powerset @ X1210) @ (powerset @ X1211))))=>(![X1212:$i, X1213:$i > $o]:((in @ (dsetconstr @ X1212 @ X1213) @ (powerset @ X1212)))=>(![X1214:$i, X1215:$i > $o]:((subset @ (dsetconstr @ X1214 @ X1215) @ X1214))=>(![X1216:$i, X1217:$i, X1218:$i]:(((in @ X1218 @ X1216)=>(in @ X1218 @ (binunion @ X1216 @ X1217))))=>(![X1219:$i, X1220:$i]:((in @ X1220 @ (setadjoin @ X1219 @ (setadjoin @ X1220 @ emptyset))))=>(![X1221:$i, X1222:$i, X1223:$i]:(((in @ X1223 @ X1222)=>(in @ X1223 @ (binunion @ X1221 @ X1222))))=>(![X1224:$i, X1225:$i, X1226:$i, X1227:$o]:(((in @ X1226 @ (binunion @ X1224 @ X1225))=>(((in @ X1226 @ X1224)=>(X1227))=>(((in @ X1226 @ X1225)=>(X1227))=>(X1227)))))=>(![X1228:$i, X1229:$i, X1230:$i]:(((in @ X1230 @ (binunion @ X1228 @ X1229))=>((in @ X1230 @ X1228)|(in @ X1230 @ X1229))))=>(![X1231:$i, X1232:$i]:((subset @ X1231 @ (binunion @ X1231 @ X1232)))=>(![X1233:$i, X1234:$i]:((subset @ X1234 @ (binunion @ X1233 @ X1234)))=>(![X1235:$i, X1236:$i, X1237:$i]:(((in @ X1237 @ X1235)=>((in @ X1237 @ X1236)=>(in @ X1237 @ (binintersect @ X1235 @ X1236)))))=>(![X1238:$i, X1239:$i, X1240:$i]:(((subset @ X1240 @ X1238)=>((subset @ X1240 @ X1239)=>(subset @ X1240 @ (binintersect @ X1238 @ X1239)))))=>(![X1241:$i, X1242:$i, X1243:$i]:(((in @ X1243 @ (binintersect @ X1241 @ X1242))=>(in @ X1243 @ X1241)))=>(![X1244:$i, X1245:$i]:((subset @ (binintersect @ X1244 @ X1245) @ X1244))=>(![X1246:$i, X1247:$i]:(((subset @ X1246 @ X1247)=>((binintersect @ X1246 @ X1247)=(X1246))))=>(![X1248:$i, X1249:$i]:((((binintersect @ X1248 @ X1249)=(X1249))=>(subset @ X1249 @ X1248)))=>(![X1250:$i, X1251:$i, X1252:$i]:(((in @ X1252 @ (binintersect @ X1250 @ X1251))=>(in @ X1252 @ X1251)))=>(![X1253:$i, X1254:$i]:((~(?[X1255:$i]:(((in @ X1255 @ X1253)&(in @ X1255 @ X1254))))=>((binintersect @ X1253 @ X1254)=(emptyset))))=>(![X1256:$i, X1257:$i]:((subset @ (binintersect @ X1256 @ X1257) @ X1257))=>(![X1258:$i, X1259:$i]:(((subset @ X1259 @ X1258)=>((binintersect @ X1258 @ X1259)=(X1259))))=>(![X1260:$i, X1261:$i]:((((binintersect @ X1260 @ X1261)=(X1260))=>(subset @ X1260 @ X1261)))=>(![X1262:$i, X1263:$i, X1264:$i]:(((binintersect @ X1262 @ (binunion @ X1263 @ X1264))=(binunion @ (binintersect @ X1262 @ X1263) @ (binintersect @ X1262 @ X1264))))=>(![X1265:$i, X1266:$i, X1267:$i]:(((in @ X1267 @ X1265)=>(~(in @ X1267 @ X1266)=>(in @ X1267 @ (setminus @ X1265 @ X1266)))))=>(![X1268:$i, X1269:$i, X1270:$i]:(((in @ X1270 @ (setminus @ X1268 @ X1269))=>(in @ X1270 @ X1268)))=>(![X1271:$i, X1272:$i, X1273:$i]:(((in @ X1273 @ (setminus @ X1271 @ X1272))=>~(in @ X1273 @ X1272)))=>(![X1274:$i, X1275:$i]:(((subset @ X1274 @ X1275)=>((setminus @ X1274 @ X1275)=(emptyset))))=>(![X1276:$i, X1277:$i, X1278:$i]:((~(in @ X1278 @ (setminus @ X1276 @ X1277))=>((in @ X1278 @ X1276)=>(in @ X1278 @ X1277))))=>(![X1279:$i, X1280:$i, X1281:$i]:((~(in @ X1281 @ (setminus @ X1279 @ X1280))=>(~(in @ X1281 @ X1280)=>~(in @ X1281 @ X1279))))=>(![X1282:$i, X1283:$i, X1284:$i]:((~(in @ X1284 @ X1282)=>~(in @ X1284 @ (setminus @ X1282 @ X1283))))=>(![X1285:$i, X1286:$i, X1287:$i]:(((in @ X1287 @ X1286)=>~(in @ X1287 @ (setminus @ X1285 @ X1286))))=>(![X1288:$i, X1289:$i]:((subset @ (setminus @ X1288 @ X1289) @ X1288))=>(![X1290:$i, X1291:$i]:((((setminus @ X1290 @ X1291)=(emptyset))=>(subset @ X1290 @ X1291)))=>(![X1292:$i, X1293:$i, X1294:$i]:(((in @ X1294 @ (symdiff @ X1292 @ X1293))=>![X1295:$o]:((((in @ X1294 @ X1292)=>(~(in @ X1294 @ X1293)=>(X1295)))=>((~(in @ X1294 @ X1292)=>((in @ X1294 @ X1293)=>(X1295)))=>(X1295))))))=>(![X1296:$i, X1297:$i, X1298:$i]:(((in @ X1298 @ X1296)=>(~(in @ X1298 @ X1297)=>(in @ X1298 @ (symdiff @ X1296 @ X1297)))))=>(![X1299:$i, X1300:$i, X1301:$i]:((~(in @ X1301 @ X1299)=>((in @ X1301 @ X1300)=>(in @ X1301 @ (symdiff @ X1299 @ X1300)))))=>(![X1302:$i, X1303:$i, X1304:$i]:(((in @ X1304 @ X1302)=>((in @ X1304 @ X1303)=>~(in @ X1304 @ (symdiff @ X1302 @ X1303)))))=>(![X1305:$i, X1306:$i, X1307:$i]:((~(in @ X1307 @ X1305)=>(~(in @ X1307 @ X1306)=>~(in @ X1307 @ (symdiff @ X1305 @ X1306)))))=>(![X1308:$i, X1309:$i]:((in @ X1309 @ (setadjoin @ X1308 @ (setadjoin @ X1309 @ emptyset))))=>(![X1310:$i, X1311:$i]:((in @ X1310 @ (setunion @ (setadjoin @ (setadjoin @ X1310 @ emptyset) @ (setadjoin @ (setadjoin @ X1310 @ (setadjoin @ X1311 @ emptyset)) @ emptyset)))))=>(![X1312:$i, X1313:$i]:((in @ X1313 @ (setunion @ (setadjoin @ (setadjoin @ X1312 @ emptyset) @ (setadjoin @ (setadjoin @ X1312 @ (setadjoin @ X1313 @ emptyset)) @ emptyset)))))=>(![X1314:$i, X1315:$i]:((iskpair @ (setadjoin @ (setadjoin @ X1314 @ emptyset) @ (setadjoin @ (setadjoin @ X1314 @ (setadjoin @ X1315 @ emptyset)) @ emptyset))))=>(![X1316:$i, X1317:$i]:((iskpair @ (kpair @ X1316 @ X1317)))=>(![X1318:$i, X1319:$i]:(((in @ X1319 @ X1318)=>(subset @ (setadjoin @ X1319 @ emptyset) @ X1318)))=>(![X1320:$i, X1321:$i]:(((in @ X1321 @ X1320)=>(in @ (setadjoin @ X1321 @ emptyset) @ (powerset @ X1320))))=>(![X1322:$i, X1323:$i, X1324:$i]:(((in @ X1324 @ X1322)=>(in @ (setadjoin @ X1324 @ emptyset) @ (powerset @ (binunion @ X1322 @ X1323)))))=>(![X1325:$i, X1326:$i, X1327:$i]:(((in @ X1327 @ (setadjoin @ X1325 @ (setadjoin @ X1326 @ emptyset)))=>(((X1327)=(X1325))|((X1327)=(X1326)))))=>(![X1328:$i, X1329:$i, X1330:$i]:(((in @ X1330 @ X1328)=>![X1331:$i]:(((in @ X1331 @ X1329)=>(subset @ (setadjoin @ X1330 @ (setadjoin @ X1331 @ emptyset)) @ (binunion @ X1328 @ X1329))))))=>(![X1332:$i, X1333:$i, X1334:$i]:(((in @ X1334 @ X1332)=>![X1335:$i]:(((in @ X1335 @ X1333)=>(in @ (setadjoin @ X1334 @ (setadjoin @ X1335 @ emptyset)) @ (powerset @ (binunion @ X1332 @ X1333)))))))=>(![X1336:$i, X1337:$i, X1338:$i]:(((in @ X1338 @ X1336)=>![X1339:$i]:(((in @ X1339 @ X1337)=>(subset @ (setadjoin @ (setadjoin @ X1338 @ emptyset) @ (setadjoin @ (setadjoin @ X1338 @ (setadjoin @ X1339 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1336 @ X1337)))))))=>(![X1340:$i, X1341:$i, X1342:$i]:(((in @ X1342 @ X1340)=>![X1343:$i]:(((in @ X1343 @ X1341)=>(in @ (setadjoin @ (setadjoin @ X1342 @ emptyset) @ (setadjoin @ (setadjoin @ X1342 @ (setadjoin @ X1343 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1340 @ X1341))))))))=>(![X1344:$i, X1345:$i, X1346:$i]:(((in @ X1346 @ X1344)=>![X1347:$i]:(((in @ X1347 @ X1345)=>(in @ (kpair @ X1346 @ X1347) @ (powerset @ (powerset @ (binunion @ X1344 @ X1345))))))))=>(![X1348:$i, X1349:$i, X1350:$i]:(((in @ X1350 @ X1348)=>![X1351:$i]:(((in @ X1351 @ X1349)=>(in @ (kpair @ X1350 @ X1351) @ (cartprod @ X1348 @ X1349))))))=>(![X1352:$i, X1353:$i, X1354:$i]:(((in @ X1354 @ (cartprod @ X1352 @ X1353))=>?[X1355:$i]:(((in @ X1355 @ X1352)&?[X1356:$i]:(((in @ X1356 @ X1353)&((X1354)=(kpair @ X1355 @ X1356))))))))=>(![X1357:$i, X1358:$i, X1359:$i]:(((in @ X1359 @ (cartprod @ X1357 @ X1358))=>(iskpair @ X1359)))=>(![X1360:$i, X1361:$i]:(((in @ X1361 @ (setunion @ X1360))=>?[X1362:$i]:(((in @ X1362 @ X1360)&(in @ X1361 @ X1362)))))=>(![X1363:$i]:((subset @ (setunion @ (setadjoin @ X1363 @ emptyset)) @ X1363))=>(![X1364:$i]:((subset @ X1364 @ (setunion @ (setadjoin @ X1364 @ emptyset))))=>(![X1365:$i]:(((setunion @ (setadjoin @ X1365 @ emptyset))=(X1365)))=>(![X1366:$i, X1367:$i > $o]:((![X1368:$i]:(((in @ X1368 @ X1366)=>![X1369:$i]:(((in @ X1369 @ X1366)=>((X1367 @ X1368)=>((X1367 @ X1369)=>((X1368)=(X1369))))))))=>(?[X1370:$i]:(((in @ X1370 @ X1366)&(X1367 @ X1370)))=>(singleton @ (dsetconstr @ X1366 @ X1367)))))=>(![X1371:$i, X1372:$i > $o]:(((ex1 @ X1371 @ X1372)=>?[X1373:$i]:(((in @ X1373 @ X1371)&(X1372 @ X1373)))))=>(![X1374:$i, X1375:$i > $o, X1376:$i]:(((in @ X1376 @ X1374)=>((X1375 @ X1376)=>(![X1377:$i]:(((in @ X1377 @ X1374)=>((X1375 @ X1377)=>((X1377)=(X1376)))))=>(ex1 @ X1374 @ X1375)))))=>(![X1378:$i, X1379:$i > $o]:((![X1380:$i]:(((in @ X1380 @ X1378)=>![X1381:$i]:(((in @ X1381 @ X1378)=>((X1379 @ X1380)=>((X1379 @ X1381)=>((X1380)=(X1381))))))))=>(?[X1382:$i]:(((in @ X1382 @ X1378)&(X1379 @ X1382)))=>(ex1 @ X1378 @ X1379))))=>(![X1383:$i, X1384:$i]:((((setadjoin @ X1383 @ emptyset)=(setadjoin @ X1384 @ emptyset))=>((X1383)=(X1384))))=>(![X1385:$i, X1386:$i, X1387:$i]:(((in @ (setadjoin @ X1387 @ emptyset) @ (setadjoin @ (setadjoin @ X1385 @ emptyset) @ (setadjoin @ (setadjoin @ X1385 @ (setadjoin @ X1386 @ emptyset)) @ emptyset)))=>((X1385)=(X1387))))=>(![X1388:$i]:(((iskpair @ X1388)=>(singleton @ (dsetconstr @ (setunion @ X1388) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1388)))))))=>(![X1389:$i]:(((singleton @ X1389)=>(in @ (setunion @ X1389) @ X1389)))=>(![X1390:$i, X1391:$i]:(((kfst @ (kpair @ X1390 @ X1391))=(X1390)))=>(![X1392:$i, X1393:$i, X1394:$i]:(((in @ X1394 @ (cartprod @ X1392 @ X1393))=>(in @ (kfst @ X1394) @ X1392)))=>(![X1395:$i, X1396:$i, X1397:$i, X1398:$i]:((((setadjoin @ (setadjoin @ X1395 @ emptyset) @ (setadjoin @ (setadjoin @ X1395 @ (setadjoin @ X1396 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1397 @ emptyset) @ (setadjoin @ (setadjoin @ X1397 @ (setadjoin @ X1398 @ emptyset)) @ emptyset)))=>((X1395)=(X1397))))=>(![X1399:$i, X1400:$i, X1401:$i, X1402:$i]:((((kpair @ X1399 @ X1400)=(kpair @ X1401 @ X1402))=>((X1399)=(X1401))))=>(![X1403:$i, X1404:$i]:((((X1403)=(X1404))=>((setadjoin @ X1403 @ (setadjoin @ X1404 @ emptyset))=(setadjoin @ X1403 @ emptyset))))=>(![X1405:$i, X1406:$i]:((((X1405)=(X1406))=>((setadjoin @ (setadjoin @ X1405 @ emptyset) @ (setadjoin @ (setadjoin @ X1405 @ (setadjoin @ X1406 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1405 @ emptyset) @ emptyset))))=>(![X1407:$i, X1408:$i, X1409:$i, X1410:$i]:((((setadjoin @ (setadjoin @ X1407 @ emptyset) @ (setadjoin @ (setadjoin @ X1407 @ (setadjoin @ X1408 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1409 @ emptyset) @ (setadjoin @ (setadjoin @ X1409 @ (setadjoin @ X1410 @ emptyset)) @ emptyset)))=>(((X1409)=(X1410))=>((X1408)=(X1410)))))=>(![X1411:$i, X1412:$i, X1413:$i]:((((setadjoin @ X1411 @ (setadjoin @ X1412 @ emptyset))=(setadjoin @ X1413 @ emptyset))=>((X1411)=(X1412))))=>(![X1414:$i, X1415:$i, X1416:$i, X1417:$i]:((((setadjoin @ (setadjoin @ X1414 @ emptyset) @ (setadjoin @ (setadjoin @ X1414 @ (setadjoin @ X1415 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1416 @ emptyset) @ (setadjoin @ (setadjoin @ X1416 @ (setadjoin @ X1417 @ emptyset)) @ emptyset)))=>((X1415)=(X1417))))=>(![X1418:$i, X1419:$i, X1420:$i, X1421:$i]:((((kpair @ X1418 @ X1419)=(kpair @ X1420 @ X1421))=>((X1419)=(X1421))))=>(![X1422:$i]:(((iskpair @ X1422)=>(singleton @ (dsetconstr @ (setunion @ X1422) @ (^[Z0:$i]:(((X1422)=(kpair @ (kfst @ X1422) @ Z0))))))))=>(![X1423:$i, X1424:$i]:(((ksnd @ (kpair @ X1423 @ X1424))=(X1424)))=>(![X1425:$i]:(((iskpair @ X1425)=>((kpair @ (kfst @ X1425) @ (ksnd @ X1425))=(X1425))))=>(![X1426:$i, X1427:$i, X1428:$i]:(((in @ X1428 @ (cartprod @ X1426 @ X1427))=>(in @ (ksnd @ X1428) @ X1427)))=>(![X1429:$i, X1430:$i, X1431:$i, X1432:$i]:(((in @ (kpair @ X1431 @ X1432) @ (cartprod @ X1429 @ X1430))=>(in @ X1431 @ X1429)))=>(![X1433:$i, X1434:$i, X1435:$i, X1436:$i]:(((in @ (kpair @ X1435 @ X1436) @ (cartprod @ X1433 @ X1434))=>(in @ X1436 @ X1434)))=>(![X1437:$i, X1438:$i, X1439:$i]:(((in @ X1439 @ X1437)=>![X1440:$i]:(((in @ X1440 @ X1438)=>((kpair @ X1439 @ X1440)=(kpair @ X1439 @ X1440))))))=>(![X1441:$i, X1442:$i, X1443:$i]:(((in @ X1443 @ X1441)=>![X1444:$i]:(((in @ X1444 @ X1442)=>((kfst @ (kpair @ X1443 @ X1444))=(X1443))))))=>(![X1445:$i, X1446:$i, X1447:$i]:(((in @ X1447 @ X1445)=>![X1448:$i]:(((in @ X1448 @ X1446)=>((ksnd @ (kpair @ X1447 @ X1448))=(X1448))))))=>(![X1449:$i, X1450:$i, X1451:$i]:(((in @ X1451 @ (cartprod @ X1449 @ X1450))=>((kpair @ (kfst @ X1451) @ (ksnd @ X1451))=(X1451))))=>(![X1452:$i, X1453:$i, X1454:$i > $i > $o, X1455:$i]:(((in @ X1455 @ X1452)=>![X1456:$i]:(((in @ X1456 @ X1453)=>((X1454 @ X1455 @ X1456)=>(in @ (kpair @ X1455 @ X1456) @ (dpsetconstr @ X1452 @ X1453 @ X1454)))))))=>(![X1457:$i, X1458:$i, X1459:$i > $i > $o]:((subset @ (dpsetconstr @ X1457 @ X1458 @ X1459) @ (cartprod @ X1457 @ X1458)))=>(![X1460:$i, X1461:$i, X1462:$i > $i > $o]:((breln @ X1460 @ X1461 @ (dpsetconstr @ X1460 @ X1461 @ X1462)))=>(![X1463:$i, X1464:$i, X1465:$i > $i > $o, X1466:$i]:(((in @ X1466 @ X1463)=>![X1467:$i]:(((in @ X1467 @ X1464)=>((in @ (kpair @ X1466 @ X1467) @ (dpsetconstr @ X1463 @ X1464 @ X1465))=>(X1465 @ X1466 @ X1467))))))=>(![X1468:$i, X1469:$i, X1470:$i > $i > $o, X1471:$i, X1472:$i]:(((in @ (kpair @ X1471 @ X1472) @ (dpsetconstr @ X1468 @ X1469 @ X1470))=>(in @ X1471 @ X1468)))=>(![X1473:$i, X1474:$i, X1475:$i > $i > $o, X1476:$i, X1477:$i]:(((in @ (kpair @ X1476 @ X1477) @ (dpsetconstr @ X1473 @ X1474 @ X1475))=>(in @ X1477 @ X1474)))=>(![X1478:$i, X1479:$i, X1480:$i > $i > $o, X1481:$i, X1482:$i]:(((in @ (kpair @ X1481 @ X1482) @ (dpsetconstr @ X1478 @ X1479 @ X1480))=>(X1480 @ X1481 @ X1482)))=>(![X1483:$i, X1484:$i, X1485:$i]:(((func @ X1483 @ X1484 @ X1485)=>![X1486:$i]:(((in @ X1486 @ X1483)=>(singleton @ (dsetconstr @ X1484 @ (^[Z0:$i]:((in @ (kpair @ X1486 @ Z0) @ X1485)))))))))=>(![X1487:$i, X1488:$i, X1489:$i]:(((func @ X1487 @ X1488 @ X1489)=>![X1490:$i]:(((in @ X1490 @ X1487)=>(in @ (setunion @ (dsetconstr @ X1488 @ (^[Z0:$i]:((in @ (kpair @ X1490 @ Z0) @ X1489))))) @ X1488)))))=>(![X1491:$i, X1492:$i, X1493:$i]:(((func @ X1491 @ X1492 @ X1493)=>![X1494:$i]:(((in @ X1494 @ X1491)=>(in @ (ap @ X1491 @ X1492 @ X1493 @ X1494) @ X1492)))))=>(![X1495:$i, X1496:$i, X1497:$i]:(((in @ X1497 @ (funcSet @ X1495 @ X1496))=>(func @ X1495 @ X1496 @ X1497)))=>(![X1498:$i, X1499:$i, X1500:$i]:(((in @ X1500 @ (funcSet @ X1498 @ X1499))=>![X1501:$i]:(((in @ X1501 @ X1498)=>(in @ (ap @ X1498 @ X1499 @ X1500 @ X1501) @ X1499)))))=>(![X1502:$i, X1503:$i, X1504:$i]:(((func @ X1502 @ X1503 @ X1504)=>(in @ X1504 @ (funcSet @ X1502 @ X1503))))=>(![X1505:$i, X1506:$i, X1507:$i > $i]:((![X1508:$i]:(((in @ X1508 @ X1505)=>(in @ (X1507 @ X1508) @ X1506)))=>(func @ X1505 @ X1506 @ (dpsetconstr @ X1505 @ X1506 @ (^[Z0:$i]:($eq @ (X1507 @ Z0)))))))=>(![X1509:$i, X1510:$i, X1511:$i > $i]:((![X1512:$i]:(((in @ X1512 @ X1509)=>(in @ (X1511 @ X1512) @ X1510)))=>(func @ X1509 @ X1510 @ (lam @ X1509 @ X1510 @ X1511))))=>(![X1513:$i, X1514:$i, X1515:$i > $i]:((![X1516:$i]:(((in @ X1516 @ X1513)=>(in @ (X1515 @ X1516) @ X1514)))=>(in @ (lam @ X1513 @ X1514 @ X1515) @ (funcSet @ X1513 @ X1514))))=>(![X1517:$i, X1518:$i, X1519:$i]:(((breln @ X1517 @ X1518 @ X1519)=>![X1520:$i > $o]:((![X1521:$i]:(((in @ X1521 @ X1517)=>![X1522:$i]:(((in @ X1522 @ X1518)=>((in @ (kpair @ X1521 @ X1522) @ X1519)=>(X1520 @ (kpair @ X1521 @ X1522)))))))=>![X1523:$i]:(((in @ X1523 @ X1519)=>(X1520 @ X1523)))))))=>(![X1524:$i, X1525:$i, X1526:$i]:(((breln @ X1524 @ X1525 @ X1526)=>![X1527:$i > $o]:((![X1528:$i]:(((in @ X1528 @ X1524)=>![X1529:$i]:(((in @ X1529 @ X1525)=>((in @ (kpair @ X1528 @ X1529) @ X1526)=>(X1527 @ (kpair @ X1528 @ X1529)))))))=>![X1530:$i]:(((in @ X1530 @ X1526)=>(X1527 @ X1530)))))))=>(![X1531:$i, X1532:$i > $o]:(((ex1 @ X1531 @ X1532)=>![X1533:$i]:(((in @ X1533 @ X1531)=>![X1534:$i]:(((in @ X1534 @ X1531)=>((X1532 @ X1533)=>((X1532 @ X1534)=>((X1533)=(X1534))))))))))=>(![X1535:$i, X1536:$i, X1537:$i]:(((func @ X1535 @ X1536 @ X1537)=>![X1538:$i]:(((in @ X1538 @ X1535)=>(in @ (kpair @ X1538 @ (ap @ X1535 @ X1536 @ X1537 @ X1538)) @ X1537)))))=>(![X1539:$i, X1540:$i, X1541:$i]:(((in @ X1541 @ (funcSet @ X1539 @ X1540))=>![X1542:$i]:(((in @ X1542 @ X1539)=>(in @ (kpair @ X1542 @ (ap @ X1539 @ X1540 @ X1541 @ X1542)) @ X1541)))))=>(![X1543:$i, X1544:$i, X1545:$i]:(((func @ X1543 @ X1544 @ X1545)=>![X1546:$i]:(((in @ X1546 @ X1543)=>![X1547:$i]:(((in @ X1547 @ X1544)=>((in @ (kpair @ X1546 @ X1547) @ X1545)=>((ap @ X1543 @ X1544 @ X1545 @ X1546)=(X1547)))))))))=>(![X1548:$i, X1549:$i, X1550:$i]:(((func @ X1548 @ X1549 @ X1550)=>![X1551:$i]:(((func @ X1548 @ X1549 @ X1551)=>(![X1552:$i]:(((in @ X1552 @ X1548)=>((ap @ X1548 @ X1549 @ X1550 @ X1552)=(ap @ X1548 @ X1549 @ X1551 @ X1552))))=>![X1553:$i]:(((in @ X1553 @ X1548)=>![X1554:$i]:(((in @ X1554 @ X1549)=>((in @ (kpair @ X1553 @ X1554) @ X1551)=>(in @ (kpair @ X1553 @ X1554) @ X1550)))))))))))=>(![X1555:$i, X1556:$i, X1557:$i]:(((in @ X1557 @ (funcSet @ X1555 @ X1556))=>![X1558:$i]:(((in @ X1558 @ X1555)=>![X1559:$i]:(((in @ X1559 @ X1556)=>((in @ (kpair @ X1558 @ X1559) @ X1557)=>((ap @ X1555 @ X1556 @ X1557 @ X1558)=(X1559)))))))))=>(![X1560:$i, X1561:$i, X1562:$i]:(((breln @ X1560 @ X1561 @ X1562)=>![X1563:$i]:(((breln @ X1560 @ X1561 @ X1563)=>(![X1564:$i]:(((in @ X1564 @ X1560)=>![X1565:$i]:(((in @ X1565 @ X1561)=>((in @ (kpair @ X1564 @ X1565) @ X1562)=>(in @ (kpair @ X1564 @ X1565) @ X1563))))))=>(subset @ X1562 @ X1563))))))=>(![X1566:$i, X1567:$i, X1568:$i]:(((breln @ X1566 @ X1567 @ X1568)=>![X1569:$i]:(((breln @ X1566 @ X1567 @ X1569)=>(![X1570:$i]:(((in @ X1570 @ X1566)=>![X1571:$i]:(((in @ X1571 @ X1567)=>((in @ (kpair @ X1570 @ X1571) @ X1568)=>(in @ (kpair @ X1570 @ X1571) @ X1569))))))=>(![X1572:$i]:(((in @ X1572 @ X1566)=>![X1573:$i]:(((in @ X1573 @ X1567)=>((in @ (kpair @ X1572 @ X1573) @ X1569)=>(in @ (kpair @ X1572 @ X1573) @ X1568))))))=>((X1568)=(X1569))))))))=>(![X1574:$i, X1575:$i, X1576:$i]:(((func @ X1574 @ X1575 @ X1576)=>![X1577:$i]:(((func @ X1574 @ X1575 @ X1577)=>(![X1578:$i]:(((in @ X1578 @ X1574)=>((ap @ X1574 @ X1575 @ X1576 @ X1578)=(ap @ X1574 @ X1575 @ X1577 @ X1578))))=>((X1576)=(X1577)))))))=>(![X1579:$i, X1580:$i, X1581:$i]:(((in @ X1581 @ (funcSet @ X1579 @ X1580))=>![X1582:$i]:(((in @ X1582 @ (funcSet @ X1579 @ X1580))=>(![X1583:$i]:(((in @ X1583 @ X1579)=>((ap @ X1579 @ X1580 @ X1581 @ X1583)=(ap @ X1579 @ X1580 @ X1582 @ X1583))))=>((X1581)=(X1582)))))))=>(![X1584:$i, X1585:$i, X1586:$i]:(((in @ X1586 @ (funcSet @ X1584 @ X1585))=>![X1587:$i]:(((in @ X1587 @ X1584)=>((ap @ X1584 @ X1585 @ X1586 @ X1587)=(ap @ X1584 @ X1585 @ X1586 @ X1587))))))=>(![X1588:$i, X1589:$i, X1590:$i]:(((func @ X1588 @ X1589 @ X1590)=>![X1591:$i]:(((in @ X1591 @ X1588)=>((ap @ X1588 @ X1589 @ X1590 @ X1591)=(ap @ X1588 @ X1589 @ X1590 @ X1591))))))=>(![X1592:$i, X1593:$i, X1594:$i > $i]:((![X1595:$i]:(((in @ X1595 @ X1592)=>(in @ (X1594 @ X1595) @ X1593)))=>![X1596:$i]:(((in @ X1596 @ X1592)=>((ap @ X1592 @ X1593 @ (lam @ X1592 @ X1593 @ X1594) @ X1596)=(X1594 @ X1596))))))=>(![X1597:$i, X1598:$i, X1599:$i]:(((func @ X1597 @ X1598 @ X1599)=>((lam @ X1597 @ X1598 @ (ap @ X1597 @ X1598 @ X1599))=(X1599))))=>(![X1600:$i, X1601:$i, X1602:$i > $i]:((![X1603:$i]:(((in @ X1603 @ X1600)=>(in @ (X1602 @ X1603) @ X1601)))=>((lam @ X1600 @ X1601 @ X1602)=(lam @ X1600 @ X1601 @ X1602))))=>(![X1604:$i, X1605:$i, X1606:$i > $i]:((![X1607:$i]:(((in @ X1607 @ X1604)=>(in @ (X1606 @ X1607) @ X1605)))=>![X1608:$i]:(((in @ X1608 @ X1604)=>((ap @ X1604 @ X1605 @ (lam @ X1604 @ X1605 @ X1606) @ X1608)=(X1606 @ X1608))))))=>(![X1609:$i, X1610:$i, X1611:$i]:(((in @ X1611 @ (funcSet @ X1609 @ X1610))=>((lam @ X1609 @ X1610 @ (ap @ X1609 @ X1610 @ X1611))=(X1611))))=>(![X1612:$i, X1613:$o, X1614:$i]:(((in @ X1614 @ X1612)=>![X1615:$i]:(((in @ X1615 @ X1612)=>(~(X1613)=>(in @ X1615 @ (dsetconstr @ X1612 @ (^[Z0:$i]:((((((X1613))&(((Z0)=(X1614)))))|(((~((X1613)))&(((Z0)=(X1615)))))))))))))))=>(![X1616:$i, X1617:$o, X1618:$i]:(((in @ X1618 @ X1616)=>![X1619:$i]:(((in @ X1619 @ X1616)=>(~(X1617)=>((dsetconstr @ X1616 @ (^[Z0:$i]:((((((X1617))&(((Z0)=(X1618)))))|(((~((X1617)))&(((Z0)=(X1619)))))))))=(setadjoin @ X1619 @ emptyset)))))))=>(![X1620:$i, X1621:$o, X1622:$i]:(((in @ X1622 @ X1620)=>![X1623:$i]:(((in @ X1623 @ X1620)=>((X1621)=>(in @ X1622 @ (dsetconstr @ X1620 @ (^[Z0:$i]:((((((X1621))&(((Z0)=(X1622)))))|(((~((X1621)))&(((Z0)=(X1623)))))))))))))))=>(![X1624:$i, X1625:$o, X1626:$i]:(((in @ X1626 @ X1624)=>![X1627:$i]:(((in @ X1627 @ X1624)=>((X1625)=>((dsetconstr @ X1624 @ (^[Z0:$i]:((((((X1625))&(((Z0)=(X1626)))))|(((~((X1625)))&(((Z0)=(X1627)))))))))=(setadjoin @ X1626 @ emptyset)))))))=>(![X1628:$i, X1629:$o, X1630:$i]:(((in @ X1630 @ X1628)=>![X1631:$i]:(((in @ X1631 @ X1628)=>(singleton @ (dsetconstr @ X1628 @ (^[Z0:$i]:((((((X1629))&(((Z0)=(X1630)))))|(((~((X1629)))&(((Z0)=(X1631))))))))))))))=>(![X1632:$i, X1633:$o, X1634:$i]:(((in @ X1634 @ X1632)=>![X1635:$i]:(((in @ X1635 @ X1632)=>(in @ (if @ X1632 @ ((X1633)) @ X1634 @ X1635) @ X1632)))))=>(![X1636:$i]:(((singleton @ X1636)=>![X1637:$i]:(((in @ X1637 @ X1636)=>((setunion @ X1636)=(X1637))))))=>(![X1638:$i, X1639:$o, X1640:$i]:(((in @ X1640 @ X1638)=>![X1641:$i]:(((in @ X1641 @ X1638)=>((X1639)=>((if @ X1638 @ ((X1639)) @ X1640 @ X1641)=(X1640)))))))=>(![X1642:$i, X1643:$o, X1644:$i]:(((in @ X1644 @ X1642)=>![X1645:$i]:(((in @ X1645 @ X1642)=>(~(X1643)=>((if @ X1642 @ ((X1643)) @ X1644 @ X1645)=(X1645)))))))=>(![X1646:$i, X1647:$o, X1648:$i]:(((in @ X1648 @ X1646)=>![X1649:$i]:(((in @ X1649 @ X1646)=>(in @ (if @ X1646 @ ((X1647)) @ X1648 @ X1649) @ (setadjoin @ X1648 @ (setadjoin @ X1649 @ emptyset)))))))=>(![X1650:$i, X1651:$i]:(((in @ X1651 @ (powerset @ X1650))=>![X1652:$i]:(((in @ X1652 @ (powerset @ X1650))=>(in @ (binintersect @ X1651 @ X1652) @ (powerset @ X1650))))))=>(![X1653:$i, X1654:$i]:(((in @ X1654 @ (powerset @ X1653))=>![X1655:$i]:(((in @ X1655 @ (powerset @ X1653))=>(in @ (binunion @ X1654 @ X1655) @ (powerset @ X1653))))))=>(![X1656:$i, X1657:$i]:(((in @ X1657 @ (powerset @ X1656))=>(in @ (powerset @ X1657) @ (powerset @ (powerset @ X1656)))))=>(![X1658:$i, X1659:$i]:(((in @ X1659 @ (powerset @ X1658))=>![X1660:$i]:(((in @ X1660 @ (powerset @ X1658))=>(in @ (setminus @ X1659 @ X1660) @ (powerset @ X1658))))))=>(![X1661:$i, X1662:$i]:(((in @ X1662 @ (powerset @ X1661))=>(in @ (setminus @ X1661 @ X1662) @ (powerset @ X1661))))=>(![X1663:$i, X1664:$i]:(((in @ X1664 @ (powerset @ X1663))=>![X1665:$i]:(((in @ X1665 @ (powerset @ X1663))=>(![X1666:$i]:(((in @ X1666 @ X1663)=>((in @ X1666 @ X1664)=>(in @ X1666 @ X1665))))=>(![X1667:$i]:(((in @ X1667 @ X1663)=>((in @ X1667 @ X1665)=>(in @ X1667 @ X1664))))=>((X1664)=(X1665))))))))=>(![X1668:$i, X1669:$i]:(((in @ X1669 @ (powerset @ X1668))=>![X1670:$i]:(((in @ X1670 @ (powerset @ X1668))=>(![X1671:$i]:(((in @ X1671 @ X1668)=>((in @ X1671 @ X1669)=>(in @ X1671 @ X1670))))=>(subset @ X1669 @ X1670))))))=>(![X1672:$i, X1673:$i]:(((in @ X1673 @ (powerset @ X1672))=>![X1674:$i]:(((in @ X1674 @ (powerset @ X1672))=>(![X1675:$i]:(((in @ X1675 @ X1672)=>((in @ X1675 @ X1673)=>(in @ X1675 @ X1674))))=>(in @ X1673 @ (powerset @ X1674)))))))=>(![X1676:$i, X1677:$i]:(((in @ X1677 @ (powerset @ X1676))=>![X1678:$i]:(((in @ X1678 @ (powerset @ X1676))=>![X1679:$i]:(((in @ X1679 @ X1676)=>((in @ X1677 @ (powerset @ X1678))=>((in @ X1679 @ X1677)=>(in @ X1679 @ X1678)))))))))=>(![X1680:$i, X1681:$i]:(((in @ X1681 @ (powerset @ X1680))=>![X1682:$i]:(((in @ X1682 @ X1680)=>((in @ X1682 @ X1681)=>~(in @ X1682 @ (setminus @ X1680 @ X1681)))))))=>(![X1683:$i, X1684:$i]:(((in @ X1684 @ (powerset @ X1683))=>![X1685:$i]:(((in @ X1685 @ X1683)=>(~(in @ X1685 @ (setminus @ X1683 @ X1684))=>(in @ X1685 @ X1684))))))=>(![X1686:$i, X1687:$i]:(((in @ X1687 @ (powerset @ X1686))=>![X1688:$i]:(((in @ X1688 @ (powerset @ X1686))=>![X1689:$i]:(((in @ X1689 @ X1686)=>(~(in @ X1689 @ X1687)=>~(in @ X1689 @ (binintersect @ X1687 @ X1688)))))))))=>(![X1690:$i, X1691:$i]:(((in @ X1691 @ (powerset @ X1690))=>![X1692:$i]:(((in @ X1692 @ (powerset @ X1690))=>![X1693:$i]:(((in @ X1693 @ X1690)=>(~(in @ X1693 @ X1692)=>~(in @ X1693 @ (binintersect @ X1691 @ X1692)))))))))=>(![X1694:$i, X1695:$i]:(((in @ X1695 @ (powerset @ X1694))=>![X1696:$i]:(((in @ X1696 @ (powerset @ X1694))=>![X1697:$i]:(((in @ X1697 @ X1694)=>((subset @ X1695 @ (setminus @ X1694 @ X1696))=>((in @ X1697 @ X1696)=>~(in @ X1697 @ X1695)))))))))=>(![X1698:$i, X1699:$i]:(((in @ X1699 @ (powerset @ X1698))=>![X1700:$i]:(((in @ X1700 @ (powerset @ X1698))=>![X1701:$i]:(((in @ X1701 @ X1698)=>((subset @ X1699 @ X1700)=>(~(in @ X1701 @ X1700)=>~(in @ X1701 @ X1699)))))))))=>(![X1702:$i, X1703:$i]:(((in @ X1703 @ (powerset @ X1702))=>![X1704:$i]:(((in @ X1704 @ (powerset @ X1702))=>((subset @ X1703 @ X1704)=>(subset @ (setminus @ X1702 @ X1704) @ (setminus @ X1702 @ X1703)))))))=>(![X1705:$i, X1706:$i]:(((in @ X1706 @ (powerset @ X1705))=>![X1707:$i]:(((in @ X1707 @ (powerset @ X1705))=>((subset @ (setminus @ X1705 @ X1707) @ (setminus @ X1705 @ X1706))=>(subset @ X1706 @ X1707))))))=>(![X1708:$i, X1709:$i]:(((in @ X1709 @ (powerset @ X1708))=>![X1710:$i]:(((in @ X1710 @ X1708)=>((in @ X1710 @ X1709)=>(in @ X1710 @ (setminus @ X1708 @ (setminus @ X1708 @ X1709))))))))=>(![X1711:$i, X1712:$i]:(((in @ X1712 @ (powerset @ X1711))=>![X1713:$i]:(((in @ X1713 @ X1711)=>((in @ X1713 @ (setminus @ X1711 @ (setminus @ X1711 @ X1712)))=>(in @ X1713 @ X1712))))))=>(![X1714:$i, X1715:$i]:(((in @ X1715 @ (powerset @ X1714))=>(subset @ X1715 @ (setminus @ X1714 @ (setminus @ X1714 @ X1715)))))=>(![X1716:$i, X1717:$i]:(((in @ X1717 @ (powerset @ X1716))=>(subset @ (setminus @ X1716 @ (setminus @ X1716 @ X1717)) @ X1717)))=>(![X1718:$i, X1719:$i]:(((in @ X1719 @ (powerset @ X1718))=>((X1719)=(setminus @ X1718 @ (setminus @ X1718 @ X1719)))))=>(![X1720:$i, X1721:$i]:(((in @ X1721 @ (powerset @ X1720))=>![X1722:$i]:(((in @ X1722 @ (powerset @ X1720))=>![X1723:$i]:(((in @ X1723 @ X1720)=>((in @ X1723 @ (setminus @ X1720 @ X1721))=>~(in @ X1723 @ (binintersect @ X1721 @ X1722)))))))))=>(![X1724:$i, X1725:$i]:(((in @ X1725 @ (powerset @ X1724))=>![X1726:$i]:(((in @ X1726 @ (powerset @ X1724))=>![X1727:$i]:(((in @ X1727 @ X1724)=>((in @ X1727 @ (setminus @ X1724 @ X1725))=>(in @ X1727 @ (setminus @ X1724 @ (binintersect @ X1725 @ X1726))))))))))=>(![X1728:$i, X1729:$i]:(((in @ X1729 @ (powerset @ X1728))=>![X1730:$i]:(((in @ X1730 @ (powerset @ X1728))=>(subset @ (setminus @ X1728 @ X1729) @ (setminus @ X1728 @ (binintersect @ X1729 @ X1730)))))))=>(![X1731:$i, X1732:$i]:(((in @ X1732 @ (powerset @ X1731))=>![X1733:$i]:(((in @ X1733 @ (powerset @ X1731))=>(in @ (setminus @ X1731 @ X1732) @ (powerset @ (setminus @ X1731 @ (binintersect @ X1732 @ X1733))))))))=>(![X1734:$i, X1735:$i]:(((in @ X1735 @ (powerset @ X1734))=>![X1736:$i]:(((in @ X1736 @ (powerset @ X1734))=>((subset @ X1735 @ (setminus @ X1734 @ X1736))=>![X1737:$i]:(((in @ X1737 @ X1734)=>((in @ X1737 @ X1736)=>(in @ X1737 @ (setminus @ X1734 @ X1735))))))))))=>(![X1738:$i, X1739:$i]:(((in @ X1739 @ (powerset @ X1738))=>![X1740:$i]:(((in @ X1740 @ (powerset @ X1738))=>((subset @ X1739 @ (setminus @ X1738 @ X1740))=>(subset @ X1740 @ (setminus @ X1738 @ X1739)))))))=>(![X1741:$i, X1742:$i]:(((in @ X1742 @ (powerset @ X1741))=>![X1743:$i]:(((in @ X1743 @ (powerset @ X1741))=>![X1744:$i]:(((in @ X1744 @ X1741)=>(~(in @ X1744 @ (binunion @ X1742 @ X1743))=>~(in @ X1744 @ X1742))))))))=>(![X1745:$i, X1746:$i]:(((in @ X1746 @ (powerset @ X1745))=>![X1747:$i]:(((in @ X1747 @ (powerset @ X1745))=>![X1748:$i]:(((in @ X1748 @ X1745)=>(~(in @ X1748 @ (binunion @ X1746 @ X1747))=>~(in @ X1748 @ X1747))))))))=>(![X1749:$i, X1750:$i]:(((in @ X1750 @ (powerset @ X1749))=>![X1751:$i]:(((in @ X1751 @ (powerset @ X1749))=>![X1752:$i]:(((in @ X1752 @ (powerset @ X1749))=>![X1753:$i]:(((in @ X1753 @ X1749)=>((in @ X1753 @ (binintersect @ X1750 @ X1751))=>(in @ X1753 @ (binunion @ X1750 @ X1752)))))))))))=>(![X1754:$i, X1755:$i]:(((in @ X1755 @ (powerset @ X1754))=>![X1756:$i]:(((in @ X1756 @ (powerset @ X1754))=>![X1757:$i]:(((in @ X1757 @ (powerset @ X1754))=>![X1758:$i]:(((in @ X1758 @ X1754)=>((in @ X1758 @ (binintersect @ X1755 @ X1756))=>(in @ X1758 @ (binunion @ X1756 @ X1757)))))))))))=>(![X1759:$i, X1760:$i]:(((in @ X1760 @ (powerset @ X1759))=>![X1761:$i]:(((in @ X1761 @ (powerset @ X1759))=>![X1762:$i]:(((in @ X1762 @ (powerset @ X1759))=>![X1763:$i]:(((in @ X1763 @ X1759)=>((in @ X1763 @ (binintersect @ X1760 @ X1761))=>(in @ X1763 @ (binintersect @ (binunion @ X1760 @ X1762) @ (binunion @ X1761 @ X1762))))))))))))=>(![X1764:$i, X1765:$i]:(((in @ X1765 @ (powerset @ X1764))=>![X1766:$i]:(((in @ X1766 @ (powerset @ X1764))=>![X1767:$i]:(((in @ X1767 @ (powerset @ X1764))=>(in @ (binintersect @ X1765 @ X1766) @ (powerset @ (binintersect @ (binunion @ X1765 @ X1767) @ (binunion @ X1766 @ X1767))))))))))=>(![X1768:$i, X1769:$i]:(((in @ X1769 @ (powerset @ X1768))=>![X1770:$i]:(((in @ X1770 @ (powerset @ X1768))=>![X1771:$i]:(((in @ X1771 @ X1768)=>((in @ X1771 @ (setminus @ X1768 @ (binunion @ X1769 @ X1770)))=>~(in @ X1771 @ X1769))))))))=>(![X1772:$i, X1773:$i]:(((in @ X1773 @ (powerset @ X1772))=>![X1774:$i]:(((in @ X1774 @ (powerset @ X1772))=>![X1775:$i]:(((in @ X1775 @ X1772)=>((in @ X1775 @ (setminus @ X1772 @ (binunion @ X1773 @ X1774)))=>(in @ X1775 @ (setminus @ X1772 @ X1773)))))))))=>(![X1776:$i, X1777:$i]:(((in @ X1777 @ (powerset @ X1776))=>![X1778:$i]:(((in @ X1778 @ (powerset @ X1776))=>![X1779:$o, X1780:$i]:(((in @ X1780 @ X1776)=>((in @ X1780 @ (binunion @ X1777 @ X1778))=>(((in @ X1780 @ X1777)=>(X1779))=>(((in @ X1780 @ X1778)=>(X1779))=>(X1779))))))))))=>(![X1781:$i, X1782:$i]:(((in @ X1782 @ (powerset @ X1781))=>![X1783:$i]:(((in @ X1783 @ (powerset @ X1781))=>![X1784:$i]:(((in @ X1784 @ X1781)=>(~(in @ X1784 @ X1782)=>(~(in @ X1784 @ X1783)=>~(in @ X1784 @ (binunion @ X1782 @ X1783))))))))))=>(![X1785:$i, X1786:$i]:(((in @ X1786 @ (powerset @ X1785))=>![X1787:$i]:(((in @ X1787 @ (powerset @ X1785))=>![X1788:$i]:(((in @ X1788 @ X1785)=>((in @ X1788 @ (setminus @ X1785 @ (binunion @ X1786 @ X1787)))=>(in @ X1788 @ (setminus @ X1785 @ X1786)))))))))=>(![X1789:$i, X1790:$i]:(((in @ X1790 @ (powerset @ X1789))=>![X1791:$i]:(((in @ X1791 @ (powerset @ X1789))=>(in @ (setminus @ X1789 @ (binunion @ X1790 @ X1791)) @ (powerset @ (setminus @ X1789 @ X1790)))))))=>(![X1792:$i, X1793:$i]:(((in @ X1793 @ (powerset @ X1792))=>![X1794:$i]:(((in @ X1794 @ (powerset @ X1792))=>![X1795:$i]:(((in @ X1795 @ X1792)=>((in @ X1795 @ (setminus @ X1792 @ (binunion @ X1793 @ X1794)))=>(in @ X1795 @ (setminus @ X1792 @ X1794)))))))))=>(![X1796:$i, X1797:$i]:(((in @ X1797 @ (powerset @ X1796))=>![X1798:$i]:(((in @ X1798 @ (powerset @ X1796))=>![X1799:$i]:(((in @ X1799 @ X1796)=>((in @ X1799 @ (setminus @ X1796 @ (binintersect @ X1797 @ X1798)))=>(in @ X1799 @ (binunion @ (setminus @ X1796 @ X1797) @ (setminus @ X1796 @ X1798))))))))))=>(![X1800:$i, X1801:$i]:(((in @ X1801 @ (powerset @ X1800))=>![X1802:$i]:(((in @ X1802 @ (powerset @ X1800))=>![X1803:$i]:(((in @ X1803 @ X1800)=>((in @ X1803 @ (binunion @ (setminus @ X1800 @ X1801) @ (setminus @ X1800 @ X1802)))=>(in @ X1803 @ (setminus @ X1800 @ (binintersect @ X1801 @ X1802))))))))))=>(![X1804:$i, X1805:$i]:(((in @ X1805 @ (powerset @ X1804))=>![X1806:$i]:(((in @ X1806 @ (powerset @ X1804))=>((setminus @ X1804 @ (binintersect @ X1805 @ X1806))=(binunion @ (setminus @ X1804 @ X1805) @ (setminus @ X1804 @ X1806)))))))=>(![X1807:$i, X1808:$i]:(((in @ X1808 @ (powerset @ X1807))=>![X1809:$i]:(((in @ X1809 @ (powerset @ X1807))=>![X1810:$i]:(((in @ X1810 @ X1807)=>((in @ X1810 @ (setminus @ X1807 @ (binunion @ X1808 @ X1809)))=>(in @ X1810 @ (binintersect @ (setminus @ X1807 @ X1808) @ (setminus @ X1807 @ X1809))))))))))=>(![X1811:$i, X1812:$i]:(((in @ X1812 @ (powerset @ X1811))=>![X1813:$i]:(((in @ X1813 @ (powerset @ X1811))=>![X1814:$i]:(((in @ X1814 @ X1811)=>((in @ X1814 @ (setminus @ X1811 @ X1812))=>((in @ X1814 @ (setminus @ X1811 @ X1813))=>(in @ X1814 @ (setminus @ X1811 @ (binunion @ X1812 @ X1813)))))))))))=>(![X1815:$i, X1816:$i]:(((in @ X1816 @ (powerset @ X1815))=>![X1817:$i]:(((in @ X1817 @ (powerset @ X1815))=>![X1818:$i]:(((in @ X1818 @ X1815)=>((in @ X1818 @ (binintersect @ (setminus @ X1815 @ X1816) @ (setminus @ X1815 @ X1817)))=>(in @ X1818 @ (setminus @ X1815 @ (binunion @ X1816 @ X1817))))))))))=>(![X1819:$i, X1820:$i]:(((in @ X1820 @ (powerset @ X1819))=>![X1821:$i]:(((in @ X1821 @ (powerset @ X1819))=>((setminus @ X1819 @ (binunion @ X1820 @ X1821))=(binintersect @ (setminus @ X1819 @ X1820) @ (setminus @ X1819 @ X1821)))))))=>(![X1822:$i, X1823:$i]:(((in @ X1823 @ (powerset @ X1822))=>![X1824:$i]:(((in @ X1824 @ (powerset @ X1822))=>![X1825:$i]:(((in @ X1825 @ (binintersect @ X1823 @ X1824))=>(in @ X1825 @ X1822)))))))=>(![X1826:$i, X1827:$i]:(((in @ X1827 @ (powerset @ X1826))=>![X1828:$i]:(((in @ X1828 @ (powerset @ X1826))=>![X1829:$i]:(((in @ X1829 @ (powerset @ X1826))=>((subset @ X1827 @ X1829)=>(subset @ (binintersect @ X1827 @ X1828) @ X1829))))))))=>(![X1830:$i, X1831:$i]:(((in @ X1831 @ (powerset @ X1830))=>![X1832:$i]:(((in @ X1832 @ (powerset @ X1830))=>![X1833:$i]:(((in @ X1833 @ (powerset @ X1830))=>((subset @ X1832 @ X1833)=>(subset @ (binintersect @ X1831 @ X1832) @ X1833))))))))=>(![X1834:$i, X1835:$i]:(((in @ X1835 @ (powerset @ X1834))=>![X1836:$i]:(((in @ X1836 @ (powerset @ X1834))=>![X1837:$i]:(((in @ X1837 @ (powerset @ X1834))=>((subset @ X1835 @ X1836)=>((subset @ X1835 @ X1837)=>(subset @ X1835 @ (binintersect @ X1836 @ X1837))))))))))=>(![X1838:$i, X1839:$i]:(((in @ X1839 @ (powerset @ X1838))=>![X1840:$i]:(((in @ X1840 @ (powerset @ X1838))=>![X1841:$i]:(((in @ X1841 @ (powerset @ X1838))=>![X1842:$i]:(((in @ X1842 @ (powerset @ X1838))=>((subset @ X1839 @ X1841)=>((subset @ X1840 @ X1842)=>(subset @ (binintersect @ X1839 @ X1840) @ (binintersect @ X1841 @ X1842))))))))))))=>(![X1843:$i, X1844:$i]:(((in @ X1844 @ (powerset @ X1843))=>![X1845:$i]:(((in @ X1845 @ (powerset @ X1843))=>(in @ (setminus @ X1843 @ X1844) @ (powerset @ (setminus @ X1843 @ (binintersect @ X1844 @ X1845))))))))=>(![X1846:$i, X1847:$i]:(((in @ X1847 @ (powerset @ X1846))=>![X1848:$i]:(((in @ X1848 @ (powerset @ X1846))=>![X1849:$i]:(((in @ X1849 @ (powerset @ X1846))=>![X1850:$i]:(((in @ X1850 @ (powerset @ X1846))=>((setminus @ X1846 @ (binintersect @ (binunion @ X1847 @ X1848) @ (binunion @ X1849 @ X1850)))=(binunion @ (binintersect @ (setminus @ X1846 @ X1847) @ (setminus @ X1846 @ X1848)) @ (binintersect @ (setminus @ X1846 @ X1849) @ (setminus @ X1846 @ X1850))))))))))))=>(![X1851:$i, X1852:$i]:(((in @ X1852 @ (powerset @ X1851))=>![X1853:$i]:(((in @ X1853 @ (powerset @ X1851))=>![X1854:$i]:(((in @ X1854 @ (powerset @ X1851))=>(in @ (binintersect @ X1852 @ X1853) @ (powerset @ (binintersect @ (binunion @ X1852 @ X1854) @ (binunion @ X1853 @ X1854))))))))))=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_282, binintersectTERcontra]), binintersectTELcontra]), contrasubsetT]), contrasubsetT1]), contrasubsetT2]), contrasubsetT3]), doubleComplementI1]), doubleComplementE1]), doubleComplementSub1]), doubleComplementSub2]), doubleComplementEq]), complementTnotintersectT]), omega__Cong]), complementImpComplementIntersect]), setunion__Cong]), complementSubsetComplementIntersect]), powerset__Cong]), complementInPowersetComplementIntersect]), setadjoin__Cong]), contraSubsetComplement]), in__Cong]), complementTcontraSubset]), emptyset__Cong]), binunionTILcontra]), c_0_283]), binunionTIRcontra]), c_0_284]), inIntersectImpInUnion]), c_0_285]), inIntersectImpInUnion2]), inIntersectImpInIntersectUnions]), intersectInPowersetIntersectUnions]), inComplementUnionImpNotIn1]), inComplementUnionImpInComplement1]), binunionTE]), binunionTEcontra]), demorgan2a1]), complementUnionInPowersetComplement]), demorgan2a2]), demorgan1a]), demorgan1b]), demorgan1]), emptysetsubset]), demorgan2a]), subsetI2]), demorgan2b2]), eqimpsubset1]), demorgan2b]), eqimpsubset2]), demorgan2]), subsetI1]), woz13rule0]), c_0_286]), woz13rule1]), c_0_287]), woz13rule2]), subsetE]), woz13rule3]), woz13rule4]), woz1_1]), woz1_2]), woz1_3]), setadjoinSub]), subsetTrans]), subsetRefl]), notequalI2]), notequalI1]), notsubsetI]), subsetE2]), setadjoinSub2]), setminusSubset2]), powersetsubset]), inPowerset]), powersetE1]), powersetI1]), subsetemptysetimpeq]), setextsub]), subset2powerset]), c_0_288]), binunionLsub]), binunionE]), binunionEcases]), binunionIR]), upairset2IR]), binunionIL]), c_0_289]), binunionRsub]), binintersectER]), binintersectSubset3]), binintersectSubset2]), binintersectLsub]), binintersectEL]), binintersectSubset5]), binintersectI]), disjointsetsI1]), setminusER]), setminusEL]), setminusI]), bs114d]), binintersectSubset1]), binintersectSubset4]), binintersectRsub]), c_0_290]), c_0_291]), c_0_292]), c_0_293]), ap2apEq2]), ap2apEq1]), c_0_294]), iftrue]), symdiffE]), setminusSubset1]), setminusLsub]), setminusIRneg]), setminusILneg]), setminusELneg]), setminusERneg]), symdiffI1]), kpairiskpair]), setukpairIR]), setukpairIL]), secondinupair]), symdiffIneg2]), symdiffIneg1]), symdiffI2]), kpairp]), ubforcartprodlem1]), upairinpowunion]), upairsubunion]), upairset2E]), singletoninpowunion]), singletoninpowerset]), singletonsubset]), ubforcartprodlem2]), setunionsingleton2]), setunionsingleton1]), setunionE2]), cartprodmempair]), cartprodmempair1]), cartprodpairin]), ubforcartprodlem3]), setunionsingleton]), c_0_295]), setukpairinjL1]), singletonsuniq]), c_0_296]), c_0_297]), c_0_298]), c_0_299]), theprop]), setukpairinjR1]), setukpairinjR12]), setukpairinjR11]), setukpairinjL]), setukpairinjL2]), cartprodfstin]), kfstpairEq]), upairequniteq]), cartprodpairmemEL]), cartprodsndin]), kpairsurjEq]), ksndpairEq]), c_0_300]), setukpairinjR]), setukpairinjR2]), cartprodpairmemER]), c_0_301]), c_0_302]), c_0_303]), cartprodpairsurjEq]), cartprodsndpairEq]), cartprodfstpairEq]), cartprodmempaircEq]), c_0_304]), infuncsetfunc]), app]), c_0_305]), c_0_306]), c_0_307]), c_0_308]), c_0_309]), ap2p]), c_0_310]), brelnall2]), brelnall1]), c_0_311]), c_0_312]), c_0_313]), funcinfuncset]), funcGraphProp1]), funcext]), eqbreln]), subbreln]), funcGraphProp4]), funcextLem]), funcGraphProp2]), funcGraphProp3]), funcext2]), c_0_314]), theeq]), ifp]), c_0_315]), c_0_316]), c_0_317]), c_0_318]), iffalse]), setextT]), complementT_lem]), setminusT_lem]), powersetT_lem]), binunionT_lem]), binintersectT_lem]), iftrueorfalse]), powersetTI1]), powersetTE1]), complementTI1]), complementTE1]), subsetTI]), inCongP]), c_0_319]), c_0_320]), c_0_321]), notdallE]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), c_0_322]), upairsetIR]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), notinsingleton]), uniqinunit]), nonemptyImpWitness]), c_0_323]), subPowSU]), setunionE]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), c_0_324]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), nonemptyI1]), c_0_325]), nonemptyE1]), c_0_326]), noeltsimpempty]), emptyI]), setext]), c_0_327]), notinemptyset]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_328]), c_0_329]), c_0_330]), c_0_331]), c_0_332]), wellorderingAx]), foundationAx]), c_0_333]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_334])).
% 3.54/0.95 thf(c_0_336, negated_conjecture, ![X1855:$i, X1856:$i, X1858:$i, X1859:$i, X1860:$i, X1861:$i, X1862:$i, X1863:$i, X1864:$i, X1865:$i, X1866:$i, X1868:$i, X1869:$i, X1871:$i, X1872:$i, X1873:$i, X1874:$i, X1875:$i, X1877:$i, X1878:$i > $i > $o, X1879:$i, X1882:$i, X1884:$i, X1885:$i, X1886:$i, X1887:$i, X1889:$i, X1890:$i > $o, X1891:$i, X1892:$i > $o, X1893:$i, X1894:$i, X1895:$i > $o, X1896:$i, X1897:$i, X1898:$i > $o, X1899:$i, X1900:$i > $o, X1902:$i, X1903:$o, X1904:$i, X1905:$i, X1906:$o, X1907:$i, X1908:$i, X1909:$i > $o, X1911:$i, X1912:$i, X1915:$i, X1917:$i, X1919:$i, X1920:$i > $o, X1921:$i, X1922:$i, X1924:$i, X1925:$i > $o, X1926:$i, X1927:$i, X1928:$i, X1929:$i, X1930:$i, X1931:$i, X1932:$i, X1933:$i, X1934:$i, X1935:$i, X1936:$i, X1937:$o, X1938:$i, X1939:$i, X1940:$i, X1941:$i, X1942:$i, X1943:$i, X1945:$i, X1946:$i, X1947:$i, X1948:$i, X1949:$i, X1950:$i, X1951:$i, X1952:$i, X1953:$i, X1954:$i, X1955:$o, X1957:$i, X1958:$i, X1959:$i > $o, X1961:$i, X1962:$i, X1963:$i, X1965:$i, X1966:$i, X1967:$i, X1968:$i, X1969:$i, X1970:$i, X1971:$i, X1972:$i, X1973:$i, X1974:$i, X1975:$i, X1976:$i, X1977:$i, X1978:$i, X1979:$i, X1980:$i, X1981:$i > $o, X1982:$i, X1983:$i > $o, X1984:$i, X1985:$i, X1986:$i > $o, X1987:$i, X1989:$i, X1990:$i > $o, X1992:$i, X1993:$i, X1994:$i > $o, X1996:$i, X1997:$i, X1998:$i > $o, X1999:$i, X2001:$o, X2002:$i, X2003:$i > $o, X2005:$i, X2006:$i, X2007:$i > $o, X2008:$i, X2010:$i > $o, X2011:$i, X2013:$i > $o, X2014:$i, X2017:$i > $o, X2018:$i, X2020:$i, X2021:$i, X2022:$i, X2023:$i, X2024:$i, X2025:$i, X2026:$i, X2027:$i, X2028:$i > $o, X2029:$i, X2030:$i, X2031:$i > $o, X2032:$i > $o, X2035:$i, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2040:$i, X2041:$i, X2042:$i, X2043:$i > $o, X2044:$i, X2045:$i, X2046:$i > $o, X2047:$i > $o, X2050:$i, X2051:$i, X2052:$i > $o, X2053:$i > $o, X2056:$i, X2057:$i, X2059:$i, X2060:$i, X2061:$i, X2062:$i, X2063:$i, X2064:$i, X2066:$i, X2067:$i, X2068:$i, X2069:$i, X2070:$i, X2071:$i, X2072:$i, X2073:$i, X2074:$i, X2075:$i, X2076:$i, X2077:$i, X2078:$i, X2079:$i, X2080:$i, X2081:$i, X2082:$i, X2083:$i, X2084:$i, X2085:$i, X2086:$i, X2087:$i, X2088:$i, X2089:$i, X2090:$i, X2091:$i, X2092:$i, X2093:$i, X2094:$i, X2095:$i, X2096:$i, X2097:$i, X2098:$i, X2099:$i, X2100:$i, X2101:$i, X2102:$i, X2103:$i > $o, X2104:$i, X2105:$i > $o, X2106:$i, X2107:$i, X2108:$i, X2109:$i, X2110:$i, X2111:$i, X2112:$i, X2113:$i, X2114:$i, X2115:$i, X2116:$i, X2117:$o, X2118:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i, X2127:$i, X2128:$i, X2129:$i, X2130:$i, X2131:$i, X2132:$i, X2133:$i, X2134:$i, X2135:$i, X2136:$i, X2137:$i, X2138:$i, X2139:$i, X2140:$i, X2141:$i, X2142:$i, X2143:$i, X2144:$i, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i, X2151:$i, X2152:$i, X2153:$i, X2154:$i, X2155:$i, X2156:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$i, X2162:$i, X2163:$i, X2164:$i, X2165:$i, X2166:$i, X2167:$i, X2168:$i, X2169:$i, X2170:$i, X2171:$i, X2172:$i, X2173:$i, X2174:$i, X2175:$i, X2176:$i, X2177:$i, X2178:$i, X2179:$i, X2180:$i, X2181:$i, X2182:$i, X2183:$i, X2184:$i, X2185:$o, X2186:$i, X2187:$i, X2188:$i, X2189:$i, X2190:$i, X2191:$i, X2192:$i, X2193:$i, X2194:$i, X2195:$i, X2196:$i, X2197:$i, X2198:$i, X2199:$i, X2200:$i, X2201:$i, X2202:$i, X2203:$i, X2204:$i, X2205:$i, X2206:$i, X2207:$i, X2208:$i, X2209:$i, X2210:$i, X2211:$i, X2212:$i, X2213:$i, X2214:$i, X2215:$i, X2216:$i, X2217:$i, X2218:$i, X2219:$i, X2220:$i, X2221:$i, X2222:$i, X2223:$i, X2224:$i, X2225:$i, X2226:$i, X2227:$i, X2228:$i, X2229:$i, X2230:$i, X2231:$i, X2232:$i, X2233:$i, X2234:$i, X2235:$i, X2236:$i, X2237:$i, X2238:$i, X2239:$i, X2240:$i, X2241:$i, X2242:$i, X2243:$i, X2244:$i, X2247:$i, X2248:$i, X2249:$i, X2250:$i, X2251:$i, X2253:$i, X2254:$i, X2255:$i, X2256:$i, X2257:$i > $o, X2260:$i, X2261:$i, X2262:$i > $o, X2264:$i, X2265:$i > $o, X2266:$i, X2268:$i, X2269:$i > $o, X2272:$i, X2273:$i, X2274:$i, X2275:$i, X2276:$i, X2277:$i, X2278:$i, X2279:$i, X2280:$i, X2281:$i, X2282:$i, X2283:$i, X2284:$i, X2285:$i, X2286:$i, X2287:$i, X2288:$i, X2289:$i, X2290:$i, X2291:$i, X2292:$i, X2293:$i, X2294:$i, X2295:$i, X2296:$i, X2297:$i, X2298:$i, X2299:$i, X2300:$i, X2301:$i, X2302:$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:$i, X2318:$i, X2319:$i, X2320:$i, X2321:$i, X2322:$i, X2323:$i, X2324:$i, X2325:$i, X2326:$i, X2327:$i, X2328:$i, X2329:$i, X2330:$i, X2331:$i, X2332:$i, X2333:$i, X2334:$i, X2335:$i, X2336:$i, X2337:$i, X2338:$i, X2339:$i, X2340:$i, X2341:$i, X2342:$i, X2343:$i, X2344:$i > $i > $o, X2345:$i, X2346:$i, X2347:$i, X2348:$i, X2349:$i > $i > $o, X2350:$i, X2351:$i, X2352:$i > $i > $o, X2353:$i, X2354:$i, X2355:$i > $i > $o, X2356:$i, X2357:$i, X2358:$i, X2359:$i, X2360:$i > $i > $o, X2361:$i, X2362:$i, X2363:$i, X2364:$i, X2365:$i > $i > $o, X2366:$i, X2367:$i, X2368:$i, X2369:$i, X2370:$i > $i > $o, X2371:$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 > $i, X2399:$i, X2400:$i, X2401:$i > $i, X2403:$i, X2404:$i, X2405:$i > $i, X2407:$i, X2408:$i, X2409:$i, X2410:$i > $o, X2413:$i, X2414:$i, X2415:$i, X2416:$i, X2417:$i > $o, X2420:$i, X2421:$i, X2422:$i > $o, X2423:$i, X2424:$i, X2425:$i, X2426:$i, X2427:$i, X2428:$i, X2429:$i, X2430:$i, X2431:$i, X2432:$i, X2433:$i, X2434:$i, X2435:$i, X2436:$i, X2437:$i, X2438:$i, X2439:$i, X2440:$i, X2441:$i, X2443:$i, X2444:$i, X2445:$i, X2446:$i, X2447:$i, X2448:$i, X2449:$i, X2450:$i, X2451:$i, X2452:$i, X2453:$i, X2456:$i, X2457:$i, X2458:$i, X2459:$i, X2464:$i, X2465:$i, X2466:$i, X2467:$i, X2469:$i, X2470:$i, X2471:$i, X2472:$i, X2474:$i, X2475:$i, X2476:$i, X2477:$i, X2478:$i, X2479:$i, X2480:$i, X2481:$i, X2482:$i, X2483:$i, X2484:$i > $i, X2486:$i, X2487:$i, X2488:$i, X2489:$i, X2490:$i, X2491:$i, X2492:$i > $i, X2494:$i, X2495:$i, X2496:$i > $i, X2498:$i, X2499:$i, X2500:$i, X2501:$i, X2502:$i, X2503:$o, X2504:$i, X2505:$i, X2506:$i, X2507:$o, X2508:$i, X2509:$i, X2510:$i, X2511:$o, X2512:$i, X2513:$i, X2514:$i, X2515:$o, X2516:$i, X2517:$i, X2518:$i, X2519:$o, X2520:$i, X2521:$i, X2522:$i, X2523:$o, X2524:$i, X2525:$i, X2526:$i, X2527:$i, X2528:$i, X2529:$o, X2530:$i, X2531:$i, X2532:$i, X2533:$o, X2534:$i, X2535:$i, X2536:$i, X2537:$o, X2538:$i, X2539:$i, X2540:$i, X2541:$i, X2542:$i, X2543:$i, X2544:$i, X2545:$i, X2546:$i, X2547:$i, X2548:$i, X2549:$i, X2550:$i, X2551:$i, X2552:$i, X2553:$i, X2554:$i, X2555:$i, X2558:$i, X2559:$i, X2560:$i, X2562:$i, X2563:$i, X2564:$i, X2566:$i, X2567:$i, X2568:$i, X2569:$i, X2570:$i, X2571:$i, X2572:$i, X2573:$i, X2574:$i, X2575:$i, X2576:$i, X2577:$i, X2578:$i, X2579:$i, X2580:$i, X2581:$i, X2582:$i, X2583:$i, X2584:$i, X2585:$i, X2586:$i, X2587:$i, X2588:$i, X2589:$i, X2590:$i, X2591:$i, X2592:$i, X2593:$i, X2594:$i, X2595:$i, X2596:$i, X2597:$i, X2598:$i, X2599:$i, X2600:$i, X2601:$i, X2602:$i, X2603:$i, X2604:$i, X2605:$i, X2606:$i, X2607:$i, X2608:$i, X2609:$i, X2610:$i, X2611:$i, X2612:$i, X2613:$i, X2614:$i, X2615:$i, X2616:$i, X2617:$i, X2618:$i, X2619:$i, X2620:$i, X2621:$i, X2622:$i, X2623:$i, X2624:$i, X2625:$i, X2626:$i, X2627:$i, X2628:$i, X2629:$i, X2630:$i, X2631:$i, X2632:$i, X2633:$i, X2634:$i, X2635:$i, X2636:$i, X2637:$i, X2638:$i, X2639:$i, X2640:$i, X2641:$i, X2642:$i, X2643:$i, X2644:$i, X2645:$i, X2646:$i, X2647:$i, X2648:$i, X2649:$i, X2650:$i, X2651:$i, X2652:$i, X2653:$i, X2654:$i, X2655:$i, X2656:$i, X2657:$i, X2658:$i, X2659:$i, X2660:$i, X2661:$i, X2662:$i, X2663:$i, X2664:$i, X2665:$i, X2666:$i, X2667:$i, X2668:$i, X2669:$o, X2670:$i, X2671:$i, X2672:$i, X2673:$i, X2674:$i, X2675:$i, X2676:$i, X2677:$i, X2678:$i, X2679:$i, X2680:$i, X2681:$i, X2682:$i, X2683:$i, X2684:$i, X2685:$i, X2686:$i, X2687:$i, X2688:$i, X2689:$i, X2690:$i, X2691:$i, X2692:$i, X2693:$i, X2694:$i, X2695:$i, X2696:$i, X2697:$i, X2698:$i, X2699:$i, X2700:$i, X2701:$i, X2702:$i, X2703:$i, X2704:$i, X2705:$i, X2706:$i, X2707:$i, X2708:$i, X2709:$i, X2710:$i, X2711:$i, X2712:$i, X2713:$i, X2714:$i, X2715:$i, X2716:$i, X2717:$i, X2718:$i, X2719:$i, X2720:$i, X2721:$i, X2722:$i, X2723:$i, X2724:$i, X2725:$i, X2726:$i, X2727:$i, X2728:$i, X2729:$i, X2730:$i, X2731:$i, X2732:$i, X2733:$i, X2734:$i, X2735:$i, X2736:$i, X2737:$i, X2738:$i, X2739:$i, X2740:$i, X2741:$i, X2742:$i, X2743:$i, X2744:$i]:((((~(in @ (esk1_2 @ X1855 @ X1856) @ X1855)|~(in @ (esk1_2 @ X1855 @ X1856) @ X1856)|((X1855)=(X1856)))&((in @ (esk1_2 @ X1855 @ X1856) @ X1855)|(in @ (esk1_2 @ X1855 @ X1856) @ X1856)|((X1855)=(X1856))))&(~(in @ X1858 @ emptyset)&(((~(in @ X1861 @ (setadjoin @ X1859 @ X1860))|(((X1861)=(X1859))|(in @ X1861 @ X1860)))&((((X1861)!=(X1859))|(in @ X1861 @ (setadjoin @ X1859 @ X1860)))&(~(in @ X1861 @ X1860)|(in @ X1861 @ (setadjoin @ X1859 @ X1860)))))&(((~(in @ X1863 @ (powerset @ X1862))|(~(in @ X1864 @ X1863)|(in @ X1864 @ X1862)))&(((in @ (esk2_2 @ X1865 @ X1866) @ X1866)|(in @ X1866 @ (powerset @ X1865)))&(~(in @ (esk2_2 @ X1865 @ X1866) @ X1865)|(in @ X1866 @ (powerset @ X1865)))))&(((((in @ X1869 @ (esk3_2 @ X1868 @ X1869))|~(in @ X1869 @ (setunion @ X1868)))&((in @ (esk3_2 @ X1868 @ X1869) @ X1868)|~(in @ X1869 @ (setunion @ X1868))))&(~(in @ X1872 @ X1873)|~(in @ X1873 @ X1871)|(in @ X1872 @ (setunion @ X1871))))&((in @ emptyset @ omega)&((~(in @ X1874 @ omega)|(in @ (setadjoin @ X1874 @ X1874) @ omega))&(((((in @ (esk4_1 @ X1875) @ omega)|~(in @ emptyset @ X1875)|(~(in @ X1877 @ omega)|(in @ X1877 @ X1875)))&((in @ (esk4_1 @ X1875) @ X1875)|~(in @ emptyset @ X1875)|(~(in @ X1877 @ omega)|(in @ X1877 @ X1875))))&(~(in @ (setadjoin @ (esk4_1 @ X1875) @ (esk4_1 @ X1875)) @ X1875)|~(in @ emptyset @ X1875)|(~(in @ X1877 @ omega)|(in @ X1877 @ X1875))))&((((((in @ (esk7_3 @ X1878 @ X1879 @ X1882) @ X1879)|~(in @ X1882 @ (esk6_2 @ X1878 @ X1879))|(in @ (esk5_2 @ X1878 @ X1879) @ X1879))&((X1878 @ (esk7_3 @ X1878 @ X1879 @ X1882) @ X1882)|~(in @ X1882 @ (esk6_2 @ X1878 @ X1879))|(in @ (esk5_2 @ X1878 @ X1879) @ X1879)))&(~(in @ X1885 @ X1879)|~(X1878 @ X1885 @ X1884)|(in @ X1884 @ (esk6_2 @ X1878 @ X1879))|(in @ (esk5_2 @ X1878 @ X1879) @ X1879)))&((((in @ (esk7_3 @ X1878 @ X1879 @ X1882) @ X1879)|~(in @ X1882 @ (esk6_2 @ X1878 @ X1879))|~(exu @ (X1878 @ (esk5_2 @ X1878 @ X1879))))&((X1878 @ (esk7_3 @ X1878 @ X1879 @ X1882) @ X1882)|~(in @ X1882 @ (esk6_2 @ X1878 @ X1879))|~(exu @ (X1878 @ (esk5_2 @ X1878 @ X1879)))))&(~(in @ X1885 @ X1879)|~(X1878 @ X1885 @ X1884)|(in @ X1884 @ (esk6_2 @ X1878 @ X1879))|~(exu @ (X1878 @ (esk5_2 @ X1878 @ X1879))))))&((((in @ (esk8_1 @ X1886) @ X1886)|~(in @ X1887 @ X1886))&(~(in @ X1889 @ (esk8_1 @ X1886))|~(in @ X1889 @ X1886)|~(in @ X1887 @ X1886)))&((epred1_0)&((~(exu @ X1890)|(X1890 @ (descr @ X1890)))&((~(in @ X1893 @ X1891)|(~(X1892 @ X1893)|(in @ X1893 @ (dsetconstr @ X1891 @ X1892))))&((~(in @ X1896 @ (dsetconstr @ X1894 @ X1895))|(in @ X1896 @ X1894))&((~(in @ X1899 @ (dsetconstr @ X1897 @ X1898))|(X1898 @ X1899))&((((X1900 @ (esk9_1 @ X1900))|~(exu @ X1900))&(~(X1900 @ X1902)|((esk9_1 @ X1900)=(X1902))|~(exu @ X1900)))&((~(in @ X1904 @ (prop2set @ ((X1903))))|(X1903))&((~(in @ X1905 @ emptyset)|(X1906))&((~(in @ X1907 @ emptyset)|~($true))&(~(in @ X1908 @ emptyset)&((~(exu @ X1909)|(X1909 @ (esk10_1 @ X1909)))&(((((in @ (esk12_2 @ X1911 @ X1912) @ X1912)|((X1911)=(X1912))|(in @ (esk11_2 @ X1911 @ X1912) @ X1911))&(~(in @ (esk12_2 @ X1911 @ X1912) @ X1911)|((X1911)=(X1912))|(in @ (esk11_2 @ X1911 @ X1912) @ X1911)))&(((in @ (esk12_2 @ X1911 @ X1912) @ X1912)|((X1911)=(X1912))|~(in @ (esk11_2 @ X1911 @ X1912) @ X1912))&(~(in @ (esk12_2 @ X1911 @ X1912) @ X1911)|((X1911)=(X1912))|~(in @ (esk11_2 @ X1911 @ X1912) @ X1912))))&(((in @ (esk13_1 @ X1915) @ X1915)|((X1915)=(emptyset)))&(((in @ (esk14_1 @ X1917) @ X1917)|((X1917)=(emptyset)))&(((~(in @ X1921 @ (dsetconstr @ X1919 @ X1920))|(X1920 @ X1921)|~(in @ X1921 @ X1919))&(~(X1920 @ X1921)|(in @ X1921 @ (dsetconstr @ X1919 @ X1920))|~(in @ X1921 @ X1919)))&((~(nonempty @ X1922)|(in @ (esk15_1 @ X1922) @ X1922))&((~(in @ X1926 @ X1924)|(~(X1925 @ X1926)|(nonempty @ (dsetconstr @ X1924 @ X1925))))&((~(in @ X1928 @ X1927)|(nonempty @ X1927))&((in @ X1929 @ (setadjoin @ X1929 @ X1930))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1933 @ X1932)|(in @ X1933 @ (setadjoin @ X1931 @ X1932)))&(((((in @ X1936 @ X1935)|(X1937)|((X1936)=(X1934))|~(in @ X1936 @ (setadjoin @ X1934 @ X1935)))&(~(X1937)|(X1937)|((X1936)=(X1934))|~(in @ X1936 @ (setadjoin @ X1934 @ X1935))))&(((in @ X1936 @ X1935)|(X1937)|~(X1937)|~(in @ X1936 @ (setadjoin @ X1934 @ X1935)))&(~(X1937)|(X1937)|~(X1937)|~(in @ X1936 @ (setadjoin @ X1934 @ X1935)))))&((~(in @ X1940 @ (setadjoin @ X1938 @ X1939))|(((X1940)=(X1938))|(in @ X1940 @ X1939)))&(((dsetconstr @ X1941 @ (^[Z0:$i]:($true)))=(X1941))&((((in @ (esk16_2 @ X1942 @ X1943) @ X1943)|(in @ X1943 @ (powerset @ X1942)))&(~(in @ (esk16_2 @ X1942 @ X1943) @ X1942)|(in @ X1943 @ (powerset @ X1942))))&((in @ emptyset @ (powerset @ X1945))&((in @ emptyset @ (powerset @ X1946))&((~(in @ X1948 @ (powerset @ X1947))|(~(in @ X1949 @ X1948)|(in @ X1949 @ X1947)))&((~(in @ X1951 @ X1952)|(~(in @ X1952 @ X1950)|(in @ X1951 @ (setunion @ X1950))))&((((in @ X1954 @ (esk17_3 @ X1953 @ X1954 @ X1955))|(X1955)|~(in @ X1954 @ (setunion @ X1953)))&(((in @ (esk17_3 @ X1953 @ X1954 @ X1955) @ X1953)|(X1955)|~(in @ X1954 @ (setunion @ X1953)))&(~(X1955)|(X1955)|~(in @ X1954 @ (setunion @ X1953)))))&((~(in @ X1958 @ X1957)|(in @ X1958 @ (powerset @ (setunion @ X1957))))&(((~(X1959 @ X1961)|((X1961)=(esk18_1 @ X1959))|~(exu @ X1959))&(((X1962)!=(esk18_1 @ X1959))|(X1959 @ X1962)|~(exu @ X1959)))&((((in @ (esk19_1 @ X1963) @ X1963)|~(nonempty @ X1963))&(($true)|~(nonempty @ X1963)))&((~(in @ X1965 @ (setadjoin @ X1966 @ emptyset))|((X1965)=(X1966)))&((((X1967)=(X1968))|~(in @ X1968 @ (setadjoin @ X1967 @ emptyset)))&((((X1969)!=(X1970))|(in @ X1969 @ (setadjoin @ X1970 @ emptyset)))&((~(in @ X1971 @ (setadjoin @ X1972 @ emptyset))|(in @ X1972 @ (setadjoin @ X1971 @ emptyset)))&((~(in @ X1975 @ (setadjoin @ X1973 @ (setadjoin @ X1974 @ emptyset)))|(((X1975)=(X1973))|((X1975)=(X1974))))&((in @ X1976 @ (setadjoin @ X1976 @ (setadjoin @ X1977 @ emptyset)))&((in @ X1979 @ (setadjoin @ X1978 @ (setadjoin @ X1979 @ emptyset)))&((~(in @ X1982 @ X1980)|~(X1981 @ X1982)|(((dsetconstr @ X1980 @ X1981)!=(emptyset))|~($true)))&((~(in @ X1984 @ emptyset)|(X1983 @ X1984))&((((in @ (esk20_2 @ X1985 @ X1986) @ X1985)|(~(in @ X1987 @ X1985)|(X1986 @ X1987)))&(~(X1986 @ (esk20_2 @ X1985 @ X1986))|(~(in @ X1987 @ X1985)|(X1986 @ X1987))))&((((in @ (esk21_2 @ X1989 @ X1990) @ X1989)|(~(in @ X1992 @ X1989)|~(X1990 @ X1992)))&((X1990 @ (esk21_2 @ X1989 @ X1990))|(~(in @ X1992 @ X1989)|~(X1990 @ X1992))))&((((in @ (esk22_2 @ X1993 @ X1994) @ X1993)|(~(in @ X1996 @ X1993)|~(X1994 @ X1996)))&((X1994 @ (esk22_2 @ X1993 @ X1994))|(~(in @ X1996 @ X1993)|~(X1994 @ X1996))))&((((in @ (esk23_2 @ X1997 @ X1998) @ X1997)|(~(in @ X1999 @ X1997)|(X1998 @ X1999)))&(~(X1998 @ (esk23_2 @ X1997 @ X1998))|(~(in @ X1999 @ X1997)|(X1998 @ X1999))))&((~(X2001)|(in @ emptyset @ (prop2set @ ((X2001)))))&((prop2set2propI)&((((in @ (esk24_2 @ X2002 @ X2003) @ X2002)|(~(in @ X2005 @ X2002)|~(X2003 @ X2005)))&((X2003 @ (esk24_2 @ X2002 @ X2003))|(~(in @ X2005 @ X2002)|~(X2003 @ X2005))))&((((in @ (esk25_2 @ X2006 @ X2007) @ X2006)|(~(in @ X2008 @ X2006)|(X2007 @ X2008)))&(~(X2007 @ (esk25_2 @ X2006 @ X2007))|(~(in @ X2008 @ X2006)|(X2007 @ X2008))))&((((X2010 @ (esk26_2 @ X2010 @ X2011))|~(X2010 @ X2011)|(exu @ X2010))&(((X2011)!=(esk26_2 @ X2010 @ X2011))|~(X2010 @ X2011)|(exu @ X2010)))&((((X2013 @ (esk27_1 @ X2013))|(exu @ X2013)|~(X2013 @ X2014))&(((X2013 @ (esk28_1 @ X2013))|(exu @ X2013)|~(X2013 @ X2014))&(((esk27_1 @ X2013)!=(esk28_1 @ X2013))|(exu @ X2013)|~(X2013 @ X2014))))&(((~(X2017 @ (esk29_2 @ X2017 @ X2018))|((esk29_2 @ X2017 @ X2018)!=(X2018))|(exu @ X2017))&((X2017 @ (esk29_2 @ X2017 @ X2018))|((esk29_2 @ X2017 @ X2018)=(X2018))|(exu @ X2017)))&((((X2020)!=(X2021))|(((X2022)!=(X2023))|(~(in @ X2022 @ X2020)|(in @ X2023 @ X2021))))&(((~(in @ X2026 @ X2024)|(in @ X2027 @ X2025)|((X2026)!=(X2027))|((X2024)!=(X2025)))&(~(in @ X2027 @ X2025)|(in @ X2026 @ X2024)|((X2026)!=(X2027))|((X2024)!=(X2025))))&((~(exu @ X2028)|(~(X2028 @ X2029)|(~(X2028 @ X2030)|((X2029)=(X2030)))))&((((~(exu @ X2031)|(exu @ X2032)|((esk30_2 @ X2031 @ X2032)=(esk31_2 @ X2031 @ X2032)))&(~(exu @ X2032)|(exu @ X2031)|((esk30_2 @ X2031 @ X2032)=(esk31_2 @ X2031 @ X2032))))&(((~(exu @ X2031)|(exu @ X2032)|(~(X2031 @ (esk30_2 @ X2031 @ X2032))|~(X2032 @ (esk31_2 @ X2031 @ X2032))))&(~(exu @ X2032)|(exu @ X2031)|(~(X2031 @ (esk30_2 @ X2031 @ X2032))|~(X2032 @ (esk31_2 @ X2031 @ X2032)))))&((~(exu @ X2031)|(exu @ X2032)|((X2031 @ (esk30_2 @ X2031 @ X2032))|(X2032 @ (esk31_2 @ X2031 @ X2032))))&(~(exu @ X2032)|(exu @ X2031)|((X2031 @ (esk30_2 @ X2031 @ X2032))|(X2032 @ (esk31_2 @ X2031 @ X2032)))))))&(((emptyset)=(emptyset))&((((X2035)!=(X2036))|(((X2037)!=(X2038))|((setadjoin @ X2035 @ X2037)=(setadjoin @ X2036 @ X2038))))&((((X2039)!=(X2040))|((powerset @ X2039)=(powerset @ X2040)))&((((X2041)!=(X2042))|((setunion @ X2041)=(setunion @ X2042)))&(((omega)=(omega))&((~(exu @ X2043)|(~(X2043 @ X2044)|(~(X2043 @ X2045)|((X2044)=(X2045)))))&(((((esk32_2 @ X2046 @ X2047)=(esk33_2 @ X2046 @ X2047))|(~(exu @ X2046)|(~(exu @ X2047)|((descr @ X2046)=(descr @ X2047)))))&((~(X2046 @ (esk32_2 @ X2046 @ X2047))|~(X2047 @ (esk33_2 @ X2046 @ X2047))|(~(exu @ X2046)|(~(exu @ X2047)|((descr @ X2046)=(descr @ X2047)))))&((X2046 @ (esk32_2 @ X2046 @ X2047))|(X2047 @ (esk33_2 @ X2046 @ X2047))|(~(exu @ X2046)|(~(exu @ X2047)|((descr @ X2046)=(descr @ X2047)))))))&((((in @ (esk34_4 @ X2050 @ X2051 @ X2052 @ X2053) @ X2050)|((dsetconstr @ X2050 @ X2052)=(dsetconstr @ X2051 @ X2053))|((X2050)!=(X2051)))&(((in @ (esk35_4 @ X2050 @ X2051 @ X2052 @ X2053) @ X2051)|((dsetconstr @ X2050 @ X2052)=(dsetconstr @ X2051 @ X2053))|((X2050)!=(X2051)))&((((esk34_4 @ X2050 @ X2051 @ X2052 @ X2053)=(esk35_4 @ X2050 @ X2051 @ X2052 @ X2053))|((dsetconstr @ X2050 @ X2052)=(dsetconstr @ X2051 @ X2053))|((X2050)!=(X2051)))&((~(X2052 @ (esk34_4 @ X2050 @ X2051 @ X2052 @ X2053))|~(X2053 @ (esk35_4 @ X2050 @ X2051 @ X2052 @ X2053))|((dsetconstr @ X2050 @ X2052)=(dsetconstr @ X2051 @ X2053))|((X2050)!=(X2051)))&((X2052 @ (esk34_4 @ X2050 @ X2051 @ X2052 @ X2053))|(X2053 @ (esk35_4 @ X2050 @ X2051 @ X2052 @ X2053))|((dsetconstr @ X2050 @ X2052)=(dsetconstr @ X2051 @ X2053))|((X2050)!=(X2051)))))))&((((in @ (esk36_2 @ X2056 @ X2057) @ X2056)|(subset @ X2056 @ X2057))&(~(in @ (esk36_2 @ X2056 @ X2057) @ X2057)|(subset @ X2056 @ X2057)))&((((X2059)!=(X2060))|(subset @ X2060 @ X2059))&((((X2061)!=(X2062))|(subset @ X2061 @ X2062))&((((in @ (esk37_2 @ X2063 @ X2064) @ X2063)|(subset @ X2063 @ X2064))&(~(in @ (esk37_2 @ X2063 @ X2064) @ X2064)|(subset @ X2063 @ X2064)))&((subset @ emptyset @ X2066)&((~(subset @ X2067 @ X2068)|(~(in @ X2069 @ X2067)|(in @ X2069 @ X2068)))&((~(subset @ X2070 @ X2071)|((in @ X2072 @ X2071)|~(in @ X2072 @ X2070)))&((~(in @ X2075 @ X2073)|((in @ X2075 @ X2074)|~(subset @ X2073 @ X2074)))&(((subset @ X2076 @ X2077)|((X2076)!=(X2077)))&((~(in @ X2080 @ X2078)|((in @ X2080 @ X2079)|((X2078)!=(X2079))))&((subset @ X2081 @ X2081)&((~(subset @ X2082 @ X2083)|(~(subset @ X2083 @ X2084)|(subset @ X2082 @ X2084)))&((subset @ X2086 @ (setadjoin @ X2085 @ X2086))&((~(subset @ X2087 @ X2089)|(subset @ X2087 @ (setadjoin @ X2088 @ X2089)))&((~(subset @ X2090 @ X2091)|(in @ X2090 @ (powerset @ X2091)))&((~(subset @ X2092 @ X2093)|(~(subset @ X2093 @ X2092)|((X2092)=(X2093))))&((~(subset @ X2094 @ emptyset)|((X2094)=(emptyset)))&((~(subset @ X2096 @ X2095)|(in @ X2096 @ (powerset @ X2095)))&((~(in @ X2098 @ (powerset @ X2097))|(subset @ X2098 @ X2097))&((in @ X2099 @ (powerset @ X2099))&((~(subset @ X2100 @ X2101)|(subset @ (powerset @ X2100) @ (powerset @ X2101)))&((in @ (dsetconstr @ X2102 @ X2103) @ (powerset @ X2102))&((subset @ (dsetconstr @ X2104 @ X2105) @ X2104)&((~(in @ X2108 @ X2106)|(in @ X2108 @ (binunion @ X2106 @ X2107)))&((in @ X2110 @ (setadjoin @ X2109 @ (setadjoin @ X2110 @ emptyset)))&((~(in @ X2113 @ X2112)|(in @ X2113 @ (binunion @ X2111 @ X2112)))&(((((in @ X2116 @ X2115)|(X2117)|(in @ X2116 @ X2114)|~(in @ X2116 @ (binunion @ X2114 @ X2115)))&(~(X2117)|(X2117)|(in @ X2116 @ X2114)|~(in @ X2116 @ (binunion @ X2114 @ X2115))))&(((in @ X2116 @ X2115)|(X2117)|~(X2117)|~(in @ X2116 @ (binunion @ X2114 @ X2115)))&(~(X2117)|(X2117)|~(X2117)|~(in @ X2116 @ (binunion @ X2114 @ X2115)))))&((~(in @ X2120 @ (binunion @ X2118 @ X2119))|((in @ X2120 @ X2118)|(in @ X2120 @ X2119)))&((subset @ X2121 @ (binunion @ X2121 @ X2122))&((subset @ X2124 @ (binunion @ X2123 @ X2124))&((~(in @ X2127 @ X2125)|(~(in @ X2127 @ X2126)|(in @ X2127 @ (binintersect @ X2125 @ X2126))))&((~(subset @ X2130 @ X2128)|(~(subset @ X2130 @ X2129)|(subset @ X2130 @ (binintersect @ X2128 @ X2129))))&((~(in @ X2133 @ (binintersect @ X2131 @ X2132))|(in @ X2133 @ X2131))&((subset @ (binintersect @ X2134 @ X2135) @ X2134)&((~(subset @ X2136 @ X2137)|((binintersect @ X2136 @ X2137)=(X2136)))&((((binintersect @ X2138 @ X2139)!=(X2139))|(subset @ X2139 @ X2138))&((~(in @ X2142 @ (binintersect @ X2140 @ X2141))|(in @ X2142 @ X2141))&((((in @ (esk38_2 @ X2143 @ X2144) @ X2143)|((binintersect @ X2143 @ X2144)=(emptyset)))&((in @ (esk38_2 @ X2143 @ X2144) @ X2144)|((binintersect @ X2143 @ X2144)=(emptyset))))&((subset @ (binintersect @ X2146 @ X2147) @ X2147)&((~(subset @ X2149 @ X2148)|((binintersect @ X2148 @ X2149)=(X2149)))&((((binintersect @ X2150 @ X2151)!=(X2150))|(subset @ X2150 @ X2151))&(((binintersect @ X2152 @ (binunion @ X2153 @ X2154))=(binunion @ (binintersect @ X2152 @ X2153) @ (binintersect @ X2152 @ X2154)))&((~(in @ X2157 @ X2155)|((in @ X2157 @ X2156)|(in @ X2157 @ (setminus @ X2155 @ X2156))))&((~(in @ X2160 @ (setminus @ X2158 @ X2159))|(in @ X2160 @ X2158))&((~(in @ X2163 @ (setminus @ X2161 @ X2162))|~(in @ X2163 @ X2162))&((~(subset @ X2164 @ X2165)|((setminus @ X2164 @ X2165)=(emptyset)))&(((in @ X2168 @ (setminus @ X2166 @ X2167))|(~(in @ X2168 @ X2166)|(in @ X2168 @ X2167)))&(((in @ X2171 @ (setminus @ X2169 @ X2170))|((in @ X2171 @ X2170)|~(in @ X2171 @ X2169)))&(((in @ X2174 @ X2172)|~(in @ X2174 @ (setminus @ X2172 @ X2173)))&((~(in @ X2177 @ X2176)|~(in @ X2177 @ (setminus @ X2175 @ X2176)))&((subset @ (setminus @ X2178 @ X2179) @ X2178)&((((setminus @ X2180 @ X2181)!=(emptyset))|(subset @ X2180 @ X2181))&((((~(in @ X2184 @ X2182)|(X2185)|(in @ X2184 @ X2182)|~(in @ X2184 @ (symdiff @ X2182 @ X2183)))&(((in @ X2184 @ X2183)|(X2185)|(in @ X2184 @ X2182)|~(in @ X2184 @ (symdiff @ X2182 @ X2183)))&(~(X2185)|(X2185)|(in @ X2184 @ X2182)|~(in @ X2184 @ (symdiff @ X2182 @ X2183)))))&(((~(in @ X2184 @ X2182)|(X2185)|~(in @ X2184 @ X2183)|~(in @ X2184 @ (symdiff @ X2182 @ X2183)))&(((in @ X2184 @ X2183)|(X2185)|~(in @ X2184 @ X2183)|~(in @ X2184 @ (symdiff @ X2182 @ X2183)))&(~(X2185)|(X2185)|~(in @ X2184 @ X2183)|~(in @ X2184 @ (symdiff @ X2182 @ X2183)))))&((~(in @ X2184 @ X2182)|(X2185)|~(X2185)|~(in @ X2184 @ (symdiff @ X2182 @ X2183)))&(((in @ X2184 @ X2183)|(X2185)|~(X2185)|~(in @ X2184 @ (symdiff @ X2182 @ X2183)))&(~(X2185)|(X2185)|~(X2185)|~(in @ X2184 @ (symdiff @ X2182 @ X2183)))))))&((~(in @ X2188 @ X2186)|((in @ X2188 @ X2187)|(in @ X2188 @ (symdiff @ X2186 @ X2187))))&(((in @ X2191 @ X2189)|(~(in @ X2191 @ X2190)|(in @ X2191 @ (symdiff @ X2189 @ X2190))))&((~(in @ X2194 @ X2192)|(~(in @ X2194 @ X2193)|~(in @ X2194 @ (symdiff @ X2192 @ X2193))))&(((in @ X2197 @ X2195)|((in @ X2197 @ X2196)|~(in @ X2197 @ (symdiff @ X2195 @ X2196))))&((in @ X2199 @ (setadjoin @ X2198 @ (setadjoin @ X2199 @ emptyset)))&((in @ X2200 @ (setunion @ (setadjoin @ (setadjoin @ X2200 @ emptyset) @ (setadjoin @ (setadjoin @ X2200 @ (setadjoin @ X2201 @ emptyset)) @ emptyset))))&((in @ X2203 @ (setunion @ (setadjoin @ (setadjoin @ X2202 @ emptyset) @ (setadjoin @ (setadjoin @ X2202 @ (setadjoin @ X2203 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X2204 @ emptyset) @ (setadjoin @ (setadjoin @ X2204 @ (setadjoin @ X2205 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X2206 @ X2207))&((~(in @ X2209 @ X2208)|(subset @ (setadjoin @ X2209 @ emptyset) @ X2208))&((~(in @ X2211 @ X2210)|(in @ (setadjoin @ X2211 @ emptyset) @ (powerset @ X2210)))&((~(in @ X2214 @ X2212)|(in @ (setadjoin @ X2214 @ emptyset) @ (powerset @ (binunion @ X2212 @ X2213))))&((~(in @ X2217 @ (setadjoin @ X2215 @ (setadjoin @ X2216 @ emptyset)))|(((X2217)=(X2215))|((X2217)=(X2216))))&((~(in @ X2220 @ X2218)|(~(in @ X2221 @ X2219)|(subset @ (setadjoin @ X2220 @ (setadjoin @ X2221 @ emptyset)) @ (binunion @ X2218 @ X2219))))&((~(in @ X2224 @ X2222)|(~(in @ X2225 @ X2223)|(in @ (setadjoin @ X2224 @ (setadjoin @ X2225 @ emptyset)) @ (powerset @ (binunion @ X2222 @ X2223)))))&((~(in @ X2228 @ X2226)|(~(in @ X2229 @ X2227)|(subset @ (setadjoin @ (setadjoin @ X2228 @ emptyset) @ (setadjoin @ (setadjoin @ X2228 @ (setadjoin @ X2229 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X2226 @ X2227)))))&((~(in @ X2232 @ X2230)|(~(in @ X2233 @ X2231)|(in @ (setadjoin @ (setadjoin @ X2232 @ emptyset) @ (setadjoin @ (setadjoin @ X2232 @ (setadjoin @ X2233 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X2230 @ X2231))))))&((~(in @ X2236 @ X2234)|(~(in @ X2237 @ X2235)|(in @ (kpair @ X2236 @ X2237) @ (powerset @ (powerset @ (binunion @ X2234 @ X2235))))))&((~(in @ X2240 @ X2238)|(~(in @ X2241 @ X2239)|(in @ (kpair @ X2240 @ X2241) @ (cartprod @ X2238 @ X2239))))&((((in @ (esk39_3 @ X2242 @ X2243 @ X2244) @ X2242)|~(in @ X2244 @ (cartprod @ X2242 @ X2243)))&(((in @ (esk40_3 @ X2242 @ X2243 @ X2244) @ X2243)|~(in @ X2244 @ (cartprod @ X2242 @ X2243)))&(((X2244)=(kpair @ (esk39_3 @ X2242 @ X2243 @ X2244) @ (esk40_3 @ X2242 @ X2243 @ X2244)))|~(in @ X2244 @ (cartprod @ X2242 @ X2243)))))&((~(in @ X2249 @ (cartprod @ X2247 @ X2248))|(iskpair @ X2249))&((((in @ (esk41_2 @ X2250 @ X2251) @ X2250)|~(in @ X2251 @ (setunion @ X2250)))&((in @ X2251 @ (esk41_2 @ X2250 @ X2251))|~(in @ X2251 @ (setunion @ X2250))))&((subset @ (setunion @ (setadjoin @ X2253 @ emptyset)) @ X2253)&((subset @ X2254 @ (setunion @ (setadjoin @ X2254 @ emptyset)))&(((setunion @ (setadjoin @ X2255 @ emptyset))=(X2255))&((((in @ (esk42_2 @ X2256 @ X2257) @ X2256)|(~(in @ X2260 @ X2256)|~(X2257 @ X2260)|(singleton @ (dsetconstr @ X2256 @ X2257))))&(((in @ (esk43_2 @ X2256 @ X2257) @ X2256)|(~(in @ X2260 @ X2256)|~(X2257 @ X2260)|(singleton @ (dsetconstr @ X2256 @ X2257))))&(((X2257 @ (esk42_2 @ X2256 @ X2257))|(~(in @ X2260 @ X2256)|~(X2257 @ X2260)|(singleton @ (dsetconstr @ X2256 @ X2257))))&(((X2257 @ (esk43_2 @ X2256 @ X2257))|(~(in @ X2260 @ X2256)|~(X2257 @ X2260)|(singleton @ (dsetconstr @ X2256 @ X2257))))&(((esk42_2 @ X2256 @ X2257)!=(esk43_2 @ X2256 @ X2257))|(~(in @ X2260 @ X2256)|~(X2257 @ X2260)|(singleton @ (dsetconstr @ X2256 @ X2257))))))))&((((in @ (esk44_2 @ X2261 @ X2262) @ X2261)|~(ex1 @ X2261 @ X2262))&((X2262 @ (esk44_2 @ X2261 @ X2262))|~(ex1 @ X2261 @ X2262)))&((((in @ (esk45_3 @ X2264 @ X2265 @ X2266) @ X2264)|(ex1 @ X2264 @ X2265)|~(X2265 @ X2266)|~(in @ X2266 @ X2264))&(((X2265 @ (esk45_3 @ X2264 @ X2265 @ X2266))|(ex1 @ X2264 @ X2265)|~(X2265 @ X2266)|~(in @ X2266 @ X2264))&(((esk45_3 @ X2264 @ X2265 @ X2266)!=(X2266))|(ex1 @ X2264 @ X2265)|~(X2265 @ X2266)|~(in @ X2266 @ X2264))))&((((in @ (esk46_2 @ X2268 @ X2269) @ X2268)|(~(in @ X2272 @ X2268)|~(X2269 @ X2272)|(ex1 @ X2268 @ X2269)))&(((in @ (esk47_2 @ X2268 @ X2269) @ X2268)|(~(in @ X2272 @ X2268)|~(X2269 @ X2272)|(ex1 @ X2268 @ X2269)))&(((X2269 @ (esk46_2 @ X2268 @ X2269))|(~(in @ X2272 @ X2268)|~(X2269 @ X2272)|(ex1 @ X2268 @ X2269)))&(((X2269 @ (esk47_2 @ X2268 @ X2269))|(~(in @ X2272 @ X2268)|~(X2269 @ X2272)|(ex1 @ X2268 @ X2269)))&(((esk46_2 @ X2268 @ X2269)!=(esk47_2 @ X2268 @ X2269))|(~(in @ X2272 @ X2268)|~(X2269 @ X2272)|(ex1 @ X2268 @ X2269)))))))&((((setadjoin @ X2273 @ emptyset)!=(setadjoin @ X2274 @ emptyset))|((X2273)=(X2274)))&((~(in @ (setadjoin @ X2277 @ emptyset) @ (setadjoin @ (setadjoin @ X2275 @ emptyset) @ (setadjoin @ (setadjoin @ X2275 @ (setadjoin @ X2276 @ emptyset)) @ emptyset)))|((X2275)=(X2277)))&((~(iskpair @ X2278)|(singleton @ (dsetconstr @ (setunion @ X2278) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X2278))))))&((~(singleton @ X2279)|(in @ (setunion @ X2279) @ X2279))&(((kfst @ (kpair @ X2280 @ X2281))=(X2280))&((~(in @ X2284 @ (cartprod @ X2282 @ X2283))|(in @ (kfst @ X2284) @ X2282))&((((setadjoin @ (setadjoin @ X2285 @ emptyset) @ (setadjoin @ (setadjoin @ X2285 @ (setadjoin @ X2286 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2287 @ emptyset) @ (setadjoin @ (setadjoin @ X2287 @ (setadjoin @ X2288 @ emptyset)) @ emptyset)))|((X2285)=(X2287)))&((((kpair @ X2289 @ X2290)!=(kpair @ X2291 @ X2292))|((X2289)=(X2291)))&((((X2293)!=(X2294))|((setadjoin @ X2293 @ (setadjoin @ X2294 @ emptyset))=(setadjoin @ X2293 @ emptyset)))&((((X2295)!=(X2296))|((setadjoin @ (setadjoin @ X2295 @ emptyset) @ (setadjoin @ (setadjoin @ X2295 @ (setadjoin @ X2296 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2295 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X2297 @ emptyset) @ (setadjoin @ (setadjoin @ X2297 @ (setadjoin @ X2298 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2299 @ emptyset) @ (setadjoin @ (setadjoin @ X2299 @ (setadjoin @ X2300 @ emptyset)) @ emptyset)))|(((X2299)!=(X2300))|((X2298)=(X2300))))&((((setadjoin @ X2301 @ (setadjoin @ X2302 @ emptyset))!=(setadjoin @ X2303 @ emptyset))|((X2301)=(X2302)))&((((setadjoin @ (setadjoin @ X2304 @ emptyset) @ (setadjoin @ (setadjoin @ X2304 @ (setadjoin @ X2305 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2306 @ emptyset) @ (setadjoin @ (setadjoin @ X2306 @ (setadjoin @ X2307 @ emptyset)) @ emptyset)))|((X2305)=(X2307)))&((((kpair @ X2308 @ X2309)!=(kpair @ X2310 @ X2311))|((X2309)=(X2311)))&((~(iskpair @ X2312)|(singleton @ (dsetconstr @ (setunion @ X2312) @ (^[Z0:$i]:(((X2312)=(kpair @ (kfst @ X2312) @ Z0)))))))&(((ksnd @ (kpair @ X2313 @ X2314))=(X2314))&((~(iskpair @ X2315)|((kpair @ (kfst @ X2315) @ (ksnd @ X2315))=(X2315)))&((~(in @ X2318 @ (cartprod @ X2316 @ X2317))|(in @ (ksnd @ X2318) @ X2317))&((~(in @ (kpair @ X2321 @ X2322) @ (cartprod @ X2319 @ X2320))|(in @ X2321 @ X2319))&((~(in @ (kpair @ X2325 @ X2326) @ (cartprod @ X2323 @ X2324))|(in @ X2326 @ X2324))&((~(in @ X2329 @ X2327)|(~(in @ X2330 @ X2328)|((kpair @ X2329 @ X2330)=(kpair @ X2329 @ X2330))))&((~(in @ X2333 @ X2331)|(~(in @ X2334 @ X2332)|((kfst @ (kpair @ X2333 @ X2334))=(X2333))))&((~(in @ X2337 @ X2335)|(~(in @ X2338 @ X2336)|((ksnd @ (kpair @ X2337 @ X2338))=(X2338))))&((~(in @ X2341 @ (cartprod @ X2339 @ X2340))|((kpair @ (kfst @ X2341) @ (ksnd @ X2341))=(X2341)))&((~(in @ X2345 @ X2342)|(~(in @ X2346 @ X2343)|(~(X2344 @ X2345 @ X2346)|(in @ (kpair @ X2345 @ X2346) @ (dpsetconstr @ X2342 @ X2343 @ X2344)))))&((subset @ (dpsetconstr @ X2347 @ X2348 @ X2349) @ (cartprod @ X2347 @ X2348))&((breln @ X2350 @ X2351 @ (dpsetconstr @ X2350 @ X2351 @ X2352))&((~(in @ X2356 @ X2353)|(~(in @ X2357 @ X2354)|(~(in @ (kpair @ X2356 @ X2357) @ (dpsetconstr @ X2353 @ X2354 @ X2355))|(X2355 @ X2356 @ X2357))))&((~(in @ (kpair @ X2361 @ X2362) @ (dpsetconstr @ X2358 @ X2359 @ X2360))|(in @ X2361 @ X2358))&((~(in @ (kpair @ X2366 @ X2367) @ (dpsetconstr @ X2363 @ X2364 @ X2365))|(in @ X2367 @ X2364))&((~(in @ (kpair @ X2371 @ X2372) @ (dpsetconstr @ X2368 @ X2369 @ X2370))|(X2370 @ X2371 @ X2372))&((~(func @ X2373 @ X2374 @ X2375)|(~(in @ X2376 @ X2373)|(singleton @ (dsetconstr @ X2374 @ (^[Z0:$i]:((in @ (kpair @ X2376 @ Z0) @ X2375)))))))&((~(func @ X2377 @ X2378 @ X2379)|(~(in @ X2380 @ X2377)|(in @ (setunion @ (dsetconstr @ X2378 @ (^[Z0:$i]:((in @ (kpair @ X2380 @ Z0) @ X2379))))) @ X2378)))&((~(func @ X2381 @ X2382 @ X2383)|(~(in @ X2384 @ X2381)|(in @ (ap @ X2381 @ X2382 @ X2383 @ X2384) @ X2382)))&((~(in @ X2387 @ (funcSet @ X2385 @ X2386))|(func @ X2385 @ X2386 @ X2387))&((~(in @ X2390 @ (funcSet @ X2388 @ X2389))|(~(in @ X2391 @ X2388)|(in @ (ap @ X2388 @ X2389 @ X2390 @ X2391) @ X2389)))&((~(func @ X2392 @ X2393 @ X2394)|(in @ X2394 @ (funcSet @ X2392 @ X2393)))&((((in @ (esk48_3 @ X2395 @ X2396 @ X2397) @ X2395)|(func @ X2395 @ X2396 @ (dpsetconstr @ X2395 @ X2396 @ (^[Z0:$i]:($eq @ (X2397 @ Z0))))))&(~(in @ (X2397 @ (esk48_3 @ X2395 @ X2396 @ X2397)) @ X2396)|(func @ X2395 @ X2396 @ (dpsetconstr @ X2395 @ X2396 @ (^[Z0:$i]:($eq @ (X2397 @ Z0)))))))&((((in @ (esk49_3 @ X2399 @ X2400 @ X2401) @ X2399)|(func @ X2399 @ X2400 @ (lam @ X2399 @ X2400 @ X2401)))&(~(in @ (X2401 @ (esk49_3 @ X2399 @ X2400 @ X2401)) @ X2400)|(func @ X2399 @ X2400 @ (lam @ X2399 @ X2400 @ X2401))))&((((in @ (esk50_3 @ X2403 @ X2404 @ X2405) @ X2403)|(in @ (lam @ X2403 @ X2404 @ X2405) @ (funcSet @ X2403 @ X2404)))&(~(in @ (X2405 @ (esk50_3 @ X2403 @ X2404 @ X2405)) @ X2404)|(in @ (lam @ X2403 @ X2404 @ X2405) @ (funcSet @ X2403 @ X2404))))&((((in @ (esk51_4 @ X2407 @ X2408 @ X2409 @ X2410) @ X2407)|(~(in @ X2413 @ X2409)|(X2410 @ X2413))|~(breln @ X2407 @ X2408 @ X2409))&(((in @ (esk52_4 @ X2407 @ X2408 @ X2409 @ X2410) @ X2408)|(~(in @ X2413 @ X2409)|(X2410 @ X2413))|~(breln @ X2407 @ X2408 @ X2409))&(((in @ (kpair @ (esk51_4 @ X2407 @ X2408 @ X2409 @ X2410) @ (esk52_4 @ X2407 @ X2408 @ X2409 @ X2410)) @ X2409)|(~(in @ X2413 @ X2409)|(X2410 @ X2413))|~(breln @ X2407 @ X2408 @ X2409))&(~(X2410 @ (kpair @ (esk51_4 @ X2407 @ X2408 @ X2409 @ X2410) @ (esk52_4 @ X2407 @ X2408 @ X2409 @ X2410)))|(~(in @ X2413 @ X2409)|(X2410 @ X2413))|~(breln @ X2407 @ X2408 @ X2409)))))&((((in @ (esk53_4 @ X2414 @ X2415 @ X2416 @ X2417) @ X2414)|(~(in @ X2420 @ X2416)|(X2417 @ X2420))|~(breln @ X2414 @ X2415 @ X2416))&(((in @ (esk54_4 @ X2414 @ X2415 @ X2416 @ X2417) @ X2415)|(~(in @ X2420 @ X2416)|(X2417 @ X2420))|~(breln @ X2414 @ X2415 @ X2416))&(((in @ (kpair @ (esk53_4 @ X2414 @ X2415 @ X2416 @ X2417) @ (esk54_4 @ X2414 @ X2415 @ X2416 @ X2417)) @ X2416)|(~(in @ X2420 @ X2416)|(X2417 @ X2420))|~(breln @ X2414 @ X2415 @ X2416))&(~(X2417 @ (kpair @ (esk53_4 @ X2414 @ X2415 @ X2416 @ X2417) @ (esk54_4 @ X2414 @ X2415 @ X2416 @ X2417)))|(~(in @ X2420 @ X2416)|(X2417 @ X2420))|~(breln @ X2414 @ X2415 @ X2416)))))&((~(ex1 @ X2421 @ X2422)|(~(in @ X2423 @ X2421)|(~(in @ X2424 @ X2421)|(~(X2422 @ X2423)|(~(X2422 @ X2424)|((X2423)=(X2424)))))))&((~(func @ X2425 @ X2426 @ X2427)|(~(in @ X2428 @ X2425)|(in @ (kpair @ X2428 @ (ap @ X2425 @ X2426 @ X2427 @ X2428)) @ X2427)))&((~(in @ X2431 @ (funcSet @ X2429 @ X2430))|(~(in @ X2432 @ X2429)|(in @ (kpair @ X2432 @ (ap @ X2429 @ X2430 @ X2431 @ X2432)) @ X2431)))&((~(func @ X2433 @ X2434 @ X2435)|(~(in @ X2436 @ X2433)|(~(in @ X2437 @ X2434)|(~(in @ (kpair @ X2436 @ X2437) @ X2435)|((ap @ X2433 @ X2434 @ X2435 @ X2436)=(X2437))))))&((((in @ (esk55_4 @ X2438 @ X2439 @ X2440 @ X2441) @ X2438)|(~(in @ X2443 @ X2438)|(~(in @ X2444 @ X2439)|(~(in @ (kpair @ X2443 @ X2444) @ X2441)|(in @ (kpair @ X2443 @ X2444) @ X2440))))|~(func @ X2438 @ X2439 @ X2441)|~(func @ X2438 @ X2439 @ X2440))&(((ap @ X2438 @ X2439 @ X2440 @ (esk55_4 @ X2438 @ X2439 @ X2440 @ X2441))!=(ap @ X2438 @ X2439 @ X2441 @ (esk55_4 @ X2438 @ X2439 @ X2440 @ X2441)))|(~(in @ X2443 @ X2438)|(~(in @ X2444 @ X2439)|(~(in @ (kpair @ X2443 @ X2444) @ X2441)|(in @ (kpair @ X2443 @ X2444) @ X2440))))|~(func @ X2438 @ X2439 @ X2441)|~(func @ X2438 @ X2439 @ X2440)))&((~(in @ X2447 @ (funcSet @ X2445 @ X2446))|(~(in @ X2448 @ X2445)|(~(in @ X2449 @ X2446)|(~(in @ (kpair @ X2448 @ X2449) @ X2447)|((ap @ X2445 @ X2446 @ X2447 @ X2448)=(X2449))))))&((((in @ (esk56_4 @ X2450 @ X2451 @ X2452 @ X2453) @ X2450)|(subset @ X2452 @ X2453)|~(breln @ X2450 @ X2451 @ X2453)|~(breln @ X2450 @ X2451 @ X2452))&(((in @ (esk57_4 @ X2450 @ X2451 @ X2452 @ X2453) @ X2451)|(subset @ X2452 @ X2453)|~(breln @ X2450 @ X2451 @ X2453)|~(breln @ X2450 @ X2451 @ X2452))&(((in @ (kpair @ (esk56_4 @ X2450 @ X2451 @ X2452 @ X2453) @ (esk57_4 @ X2450 @ X2451 @ X2452 @ X2453)) @ X2452)|(subset @ X2452 @ X2453)|~(breln @ X2450 @ X2451 @ X2453)|~(breln @ X2450 @ X2451 @ X2452))&(~(in @ (kpair @ (esk56_4 @ X2450 @ X2451 @ X2452 @ X2453) @ (esk57_4 @ X2450 @ X2451 @ X2452 @ X2453)) @ X2453)|(subset @ X2452 @ X2453)|~(breln @ X2450 @ X2451 @ X2453)|~(breln @ X2450 @ X2451 @ X2452)))))&(((((in @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2456)|((X2458)=(X2459))|(in @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2456)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(((in @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2457)|((X2458)=(X2459))|(in @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2456)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(((in @ (kpair @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2459)|((X2458)=(X2459))|(in @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2456)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(~(in @ (kpair @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2458)|((X2458)=(X2459))|(in @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2456)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458)))))&((((in @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2456)|((X2458)=(X2459))|(in @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2457)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(((in @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2457)|((X2458)=(X2459))|(in @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2457)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(((in @ (kpair @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2459)|((X2458)=(X2459))|(in @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2457)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(~(in @ (kpair @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2458)|((X2458)=(X2459))|(in @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2457)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458)))))&((((in @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2456)|((X2458)=(X2459))|(in @ (kpair @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2458)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(((in @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2457)|((X2458)=(X2459))|(in @ (kpair @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2458)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(((in @ (kpair @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2459)|((X2458)=(X2459))|(in @ (kpair @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2458)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(~(in @ (kpair @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2458)|((X2458)=(X2459))|(in @ (kpair @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2458)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458)))))&(((in @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2456)|((X2458)=(X2459))|~(in @ (kpair @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2459)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(((in @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459) @ X2457)|((X2458)=(X2459))|~(in @ (kpair @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2459)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(((in @ (kpair @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2459)|((X2458)=(X2459))|~(in @ (kpair @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2459)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))&(~(in @ (kpair @ (esk60_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk61_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2458)|((X2458)=(X2459))|~(in @ (kpair @ (esk58_4 @ X2456 @ X2457 @ X2458 @ X2459) @ (esk59_4 @ X2456 @ X2457 @ X2458 @ X2459)) @ X2459)|~(breln @ X2456 @ X2457 @ X2459)|~(breln @ X2456 @ X2457 @ X2458))))))))&((((in @ (esk62_4 @ X2464 @ X2465 @ X2466 @ X2467) @ X2464)|((X2466)=(X2467))|~(func @ X2464 @ X2465 @ X2467)|~(func @ X2464 @ X2465 @ X2466))&(((ap @ X2464 @ X2465 @ X2466 @ (esk62_4 @ X2464 @ X2465 @ X2466 @ X2467))!=(ap @ X2464 @ X2465 @ X2467 @ (esk62_4 @ X2464 @ X2465 @ X2466 @ X2467)))|((X2466)=(X2467))|~(func @ X2464 @ X2465 @ X2467)|~(func @ X2464 @ X2465 @ X2466)))&((((in @ (esk63_4 @ X2469 @ X2470 @ X2471 @ X2472) @ X2469)|((X2471)=(X2472))|~(in @ X2472 @ (funcSet @ X2469 @ X2470))|~(in @ X2471 @ (funcSet @ X2469 @ X2470)))&(((ap @ X2469 @ X2470 @ X2471 @ (esk63_4 @ X2469 @ X2470 @ X2471 @ X2472))!=(ap @ X2469 @ X2470 @ X2472 @ (esk63_4 @ X2469 @ X2470 @ X2471 @ X2472)))|((X2471)=(X2472))|~(in @ X2472 @ (funcSet @ X2469 @ X2470))|~(in @ X2471 @ (funcSet @ X2469 @ X2470))))&((~(in @ X2476 @ (funcSet @ X2474 @ X2475))|(~(in @ X2477 @ X2474)|((ap @ X2474 @ X2475 @ X2476 @ X2477)=(ap @ X2474 @ X2475 @ X2476 @ X2477))))&((~(func @ X2478 @ X2479 @ X2480)|(~(in @ X2481 @ X2478)|((ap @ X2478 @ X2479 @ X2480 @ X2481)=(ap @ X2478 @ X2479 @ X2480 @ X2481))))&((((in @ (esk64_3 @ X2482 @ X2483 @ X2484) @ X2482)|(~(in @ X2486 @ X2482)|((ap @ X2482 @ X2483 @ (lam @ X2482 @ X2483 @ X2484) @ X2486)=(X2484 @ X2486))))&(~(in @ (X2484 @ (esk64_3 @ X2482 @ X2483 @ X2484)) @ X2483)|(~(in @ X2486 @ X2482)|((ap @ X2482 @ X2483 @ (lam @ X2482 @ X2483 @ X2484) @ X2486)=(X2484 @ X2486)))))&((~(func @ X2487 @ X2488 @ X2489)|((lam @ X2487 @ X2488 @ (ap @ X2487 @ X2488 @ X2489))=(X2489)))&((((in @ (esk65_3 @ X2490 @ X2491 @ X2492) @ X2490)|((lam @ X2490 @ X2491 @ X2492)=(lam @ X2490 @ X2491 @ X2492)))&(~(in @ (X2492 @ (esk65_3 @ X2490 @ X2491 @ X2492)) @ X2491)|((lam @ X2490 @ X2491 @ X2492)=(lam @ X2490 @ X2491 @ X2492))))&((((in @ (esk66_3 @ X2494 @ X2495 @ X2496) @ X2494)|(~(in @ X2498 @ X2494)|((ap @ X2494 @ X2495 @ (lam @ X2494 @ X2495 @ X2496) @ X2498)=(X2496 @ X2498))))&(~(in @ (X2496 @ (esk66_3 @ X2494 @ X2495 @ X2496)) @ X2495)|(~(in @ X2498 @ X2494)|((ap @ X2494 @ X2495 @ (lam @ X2494 @ X2495 @ X2496) @ X2498)=(X2496 @ X2498)))))&((~(in @ X2501 @ (funcSet @ X2499 @ X2500))|((lam @ X2499 @ X2500 @ (ap @ X2499 @ X2500 @ X2501))=(X2501)))&((~(in @ X2504 @ X2502)|(~(in @ X2505 @ X2502)|((X2503)|(in @ X2505 @ (dsetconstr @ X2502 @ (^[Z0:$i]:((((((X2503))&(((Z0)=(X2504)))))|(((~((X2503)))&(((Z0)=(X2505)))))))))))))&((~(in @ X2508 @ X2506)|(~(in @ X2509 @ X2506)|((X2507)|((dsetconstr @ X2506 @ (^[Z0:$i]:((((((X2507))&(((Z0)=(X2508)))))|(((~((X2507)))&(((Z0)=(X2509)))))))))=(setadjoin @ X2509 @ emptyset)))))&((~(in @ X2512 @ X2510)|(~(in @ X2513 @ X2510)|(~(X2511)|(in @ X2512 @ (dsetconstr @ X2510 @ (^[Z0:$i]:((((((X2511))&(((Z0)=(X2512)))))|(((~((X2511)))&(((Z0)=(X2513)))))))))))))&((~(in @ X2516 @ X2514)|(~(in @ X2517 @ X2514)|(~(X2515)|((dsetconstr @ X2514 @ (^[Z0:$i]:((((((X2515))&(((Z0)=(X2516)))))|(((~((X2515)))&(((Z0)=(X2517)))))))))=(setadjoin @ X2516 @ emptyset)))))&((~(in @ X2520 @ X2518)|(~(in @ X2521 @ X2518)|(singleton @ (dsetconstr @ X2518 @ (^[Z0:$i]:((((((X2519))&(((Z0)=(X2520)))))|(((~((X2519)))&(((Z0)=(X2521))))))))))))&((~(in @ X2524 @ X2522)|(~(in @ X2525 @ X2522)|(in @ (if @ X2522 @ ((X2523)) @ X2524 @ X2525) @ X2522)))&((~(singleton @ X2526)|(~(in @ X2527 @ X2526)|((setunion @ X2526)=(X2527))))&((~(in @ X2530 @ X2528)|(~(in @ X2531 @ X2528)|(~(X2529)|((if @ X2528 @ ((X2529)) @ X2530 @ X2531)=(X2530)))))&((~(in @ X2534 @ X2532)|(~(in @ X2535 @ X2532)|((X2533)|((if @ X2532 @ ((X2533)) @ X2534 @ X2535)=(X2535)))))&((~(in @ X2538 @ X2536)|(~(in @ X2539 @ X2536)|(in @ (if @ X2536 @ ((X2537)) @ X2538 @ X2539) @ (setadjoin @ X2538 @ (setadjoin @ X2539 @ emptyset)))))&((~(in @ X2541 @ (powerset @ X2540))|(~(in @ X2542 @ (powerset @ X2540))|(in @ (binintersect @ X2541 @ X2542) @ (powerset @ X2540))))&((~(in @ X2544 @ (powerset @ X2543))|(~(in @ X2545 @ (powerset @ X2543))|(in @ (binunion @ X2544 @ X2545) @ (powerset @ X2543))))&((~(in @ X2547 @ (powerset @ X2546))|(in @ (powerset @ X2547) @ (powerset @ (powerset @ X2546))))&((~(in @ X2549 @ (powerset @ X2548))|(~(in @ X2550 @ (powerset @ X2548))|(in @ (setminus @ X2549 @ X2550) @ (powerset @ X2548))))&((~(in @ X2552 @ (powerset @ X2551))|(in @ (setminus @ X2551 @ X2552) @ (powerset @ X2551)))&(((((in @ (esk68_3 @ X2553 @ X2554 @ X2555) @ X2553)|((X2554)=(X2555))|(in @ (esk67_3 @ X2553 @ X2554 @ X2555) @ X2553)|~(in @ X2555 @ (powerset @ X2553))|~(in @ X2554 @ (powerset @ X2553)))&(((in @ (esk68_3 @ X2553 @ X2554 @ X2555) @ X2555)|((X2554)=(X2555))|(in @ (esk67_3 @ X2553 @ X2554 @ X2555) @ X2553)|~(in @ X2555 @ (powerset @ X2553))|~(in @ X2554 @ (powerset @ X2553)))&(~(in @ (esk68_3 @ X2553 @ X2554 @ X2555) @ X2554)|((X2554)=(X2555))|(in @ (esk67_3 @ X2553 @ X2554 @ X2555) @ X2553)|~(in @ X2555 @ (powerset @ X2553))|~(in @ X2554 @ (powerset @ X2553)))))&((((in @ (esk68_3 @ X2553 @ X2554 @ X2555) @ X2553)|((X2554)=(X2555))|(in @ (esk67_3 @ X2553 @ X2554 @ X2555) @ X2554)|~(in @ X2555 @ (powerset @ X2553))|~(in @ X2554 @ (powerset @ X2553)))&(((in @ (esk68_3 @ X2553 @ X2554 @ X2555) @ X2555)|((X2554)=(X2555))|(in @ (esk67_3 @ X2553 @ X2554 @ X2555) @ X2554)|~(in @ X2555 @ (powerset @ X2553))|~(in @ X2554 @ (powerset @ X2553)))&(~(in @ (esk68_3 @ X2553 @ X2554 @ X2555) @ X2554)|((X2554)=(X2555))|(in @ (esk67_3 @ X2553 @ X2554 @ X2555) @ X2554)|~(in @ X2555 @ (powerset @ X2553))|~(in @ X2554 @ (powerset @ X2553)))))&(((in @ (esk68_3 @ X2553 @ X2554 @ X2555) @ X2553)|((X2554)=(X2555))|~(in @ (esk67_3 @ X2553 @ X2554 @ X2555) @ X2555)|~(in @ X2555 @ (powerset @ X2553))|~(in @ X2554 @ (powerset @ X2553)))&(((in @ (esk68_3 @ X2553 @ X2554 @ X2555) @ X2555)|((X2554)=(X2555))|~(in @ (esk67_3 @ X2553 @ X2554 @ X2555) @ X2555)|~(in @ X2555 @ (powerset @ X2553))|~(in @ X2554 @ (powerset @ X2553)))&(~(in @ (esk68_3 @ X2553 @ X2554 @ X2555) @ X2554)|((X2554)=(X2555))|~(in @ (esk67_3 @ X2553 @ X2554 @ X2555) @ X2555)|~(in @ X2555 @ (powerset @ X2553))|~(in @ X2554 @ (powerset @ X2553)))))))&((((in @ (esk69_3 @ X2558 @ X2559 @ X2560) @ X2558)|(subset @ X2559 @ X2560)|~(in @ X2560 @ (powerset @ X2558))|~(in @ X2559 @ (powerset @ X2558)))&(((in @ (esk69_3 @ X2558 @ X2559 @ X2560) @ X2559)|(subset @ X2559 @ X2560)|~(in @ X2560 @ (powerset @ X2558))|~(in @ X2559 @ (powerset @ X2558)))&(~(in @ (esk69_3 @ X2558 @ X2559 @ X2560) @ X2560)|(subset @ X2559 @ X2560)|~(in @ X2560 @ (powerset @ X2558))|~(in @ X2559 @ (powerset @ X2558)))))&((((in @ (esk70_3 @ X2562 @ X2563 @ X2564) @ X2562)|(in @ X2563 @ (powerset @ X2564))|~(in @ X2564 @ (powerset @ X2562))|~(in @ X2563 @ (powerset @ X2562)))&(((in @ (esk70_3 @ X2562 @ X2563 @ X2564) @ X2563)|(in @ X2563 @ (powerset @ X2564))|~(in @ X2564 @ (powerset @ X2562))|~(in @ X2563 @ (powerset @ X2562)))&(~(in @ (esk70_3 @ X2562 @ X2563 @ X2564) @ X2564)|(in @ X2563 @ (powerset @ X2564))|~(in @ X2564 @ (powerset @ X2562))|~(in @ X2563 @ (powerset @ X2562)))))&((~(in @ X2567 @ (powerset @ X2566))|(~(in @ X2568 @ (powerset @ X2566))|(~(in @ X2569 @ X2566)|(~(in @ X2567 @ (powerset @ X2568))|(~(in @ X2569 @ X2567)|(in @ X2569 @ X2568))))))&((~(in @ X2571 @ (powerset @ X2570))|(~(in @ X2572 @ X2570)|(~(in @ X2572 @ X2571)|~(in @ X2572 @ (setminus @ X2570 @ X2571)))))&((~(in @ X2574 @ (powerset @ X2573))|(~(in @ X2575 @ X2573)|((in @ X2575 @ (setminus @ X2573 @ X2574))|(in @ X2575 @ X2574))))&((~(in @ X2577 @ (powerset @ X2576))|(~(in @ X2578 @ (powerset @ X2576))|(~(in @ X2579 @ X2576)|((in @ X2579 @ X2577)|~(in @ X2579 @ (binintersect @ X2577 @ X2578))))))&((~(in @ X2581 @ (powerset @ X2580))|(~(in @ X2582 @ (powerset @ X2580))|(~(in @ X2583 @ X2580)|((in @ X2583 @ X2582)|~(in @ X2583 @ (binintersect @ X2581 @ X2582))))))&((~(in @ X2585 @ (powerset @ X2584))|(~(in @ X2586 @ (powerset @ X2584))|(~(in @ X2587 @ X2584)|(~(subset @ X2585 @ (setminus @ X2584 @ X2586))|(~(in @ X2587 @ X2586)|~(in @ X2587 @ X2585))))))&((~(in @ X2589 @ (powerset @ X2588))|(~(in @ X2590 @ (powerset @ X2588))|(~(in @ X2591 @ X2588)|(~(subset @ X2589 @ X2590)|((in @ X2591 @ X2590)|~(in @ X2591 @ X2589))))))&((~(in @ X2593 @ (powerset @ X2592))|(~(in @ X2594 @ (powerset @ X2592))|(~(subset @ X2593 @ X2594)|(subset @ (setminus @ X2592 @ X2594) @ (setminus @ X2592 @ X2593)))))&((~(in @ X2596 @ (powerset @ X2595))|(~(in @ X2597 @ (powerset @ X2595))|(~(subset @ (setminus @ X2595 @ X2597) @ (setminus @ X2595 @ X2596))|(subset @ X2596 @ X2597))))&((~(in @ X2599 @ (powerset @ X2598))|(~(in @ X2600 @ X2598)|(~(in @ X2600 @ X2599)|(in @ X2600 @ (setminus @ X2598 @ (setminus @ X2598 @ X2599))))))&((~(in @ X2602 @ (powerset @ X2601))|(~(in @ X2603 @ X2601)|(~(in @ X2603 @ (setminus @ X2601 @ (setminus @ X2601 @ X2602)))|(in @ X2603 @ X2602))))&((~(in @ X2605 @ (powerset @ X2604))|(subset @ X2605 @ (setminus @ X2604 @ (setminus @ X2604 @ X2605))))&((~(in @ X2607 @ (powerset @ X2606))|(subset @ (setminus @ X2606 @ (setminus @ X2606 @ X2607)) @ X2607))&((~(in @ X2609 @ (powerset @ X2608))|((X2609)=(setminus @ X2608 @ (setminus @ X2608 @ X2609))))&((~(in @ X2611 @ (powerset @ X2610))|(~(in @ X2612 @ (powerset @ X2610))|(~(in @ X2613 @ X2610)|(~(in @ X2613 @ (setminus @ X2610 @ X2611))|~(in @ X2613 @ (binintersect @ X2611 @ X2612))))))&((~(in @ X2615 @ (powerset @ X2614))|(~(in @ X2616 @ (powerset @ X2614))|(~(in @ X2617 @ X2614)|(~(in @ X2617 @ (setminus @ X2614 @ X2615))|(in @ X2617 @ (setminus @ X2614 @ (binintersect @ X2615 @ X2616)))))))&((~(in @ X2619 @ (powerset @ X2618))|(~(in @ X2620 @ (powerset @ X2618))|(subset @ (setminus @ X2618 @ X2619) @ (setminus @ X2618 @ (binintersect @ X2619 @ X2620)))))&((~(in @ X2622 @ (powerset @ X2621))|(~(in @ X2623 @ (powerset @ X2621))|(in @ (setminus @ X2621 @ X2622) @ (powerset @ (setminus @ X2621 @ (binintersect @ X2622 @ X2623))))))&((~(in @ X2625 @ (powerset @ X2624))|(~(in @ X2626 @ (powerset @ X2624))|(~(subset @ X2625 @ (setminus @ X2624 @ X2626))|(~(in @ X2627 @ X2624)|(~(in @ X2627 @ X2626)|(in @ X2627 @ (setminus @ X2624 @ X2625)))))))&((~(in @ X2629 @ (powerset @ X2628))|(~(in @ X2630 @ (powerset @ X2628))|(~(subset @ X2629 @ (setminus @ X2628 @ X2630))|(subset @ X2630 @ (setminus @ X2628 @ X2629)))))&((~(in @ X2632 @ (powerset @ X2631))|(~(in @ X2633 @ (powerset @ X2631))|(~(in @ X2634 @ X2631)|((in @ X2634 @ (binunion @ X2632 @ X2633))|~(in @ X2634 @ X2632)))))&((~(in @ X2636 @ (powerset @ X2635))|(~(in @ X2637 @ (powerset @ X2635))|(~(in @ X2638 @ X2635)|((in @ X2638 @ (binunion @ X2636 @ X2637))|~(in @ X2638 @ X2637)))))&((~(in @ X2640 @ (powerset @ X2639))|(~(in @ X2641 @ (powerset @ X2639))|(~(in @ X2642 @ (powerset @ X2639))|(~(in @ X2643 @ X2639)|(~(in @ X2643 @ (binintersect @ X2640 @ X2641))|(in @ X2643 @ (binunion @ X2640 @ X2642)))))))&((~(in @ X2645 @ (powerset @ X2644))|(~(in @ X2646 @ (powerset @ X2644))|(~(in @ X2647 @ (powerset @ X2644))|(~(in @ X2648 @ X2644)|(~(in @ X2648 @ (binintersect @ X2645 @ X2646))|(in @ X2648 @ (binunion @ X2646 @ X2647)))))))&((~(in @ X2650 @ (powerset @ X2649))|(~(in @ X2651 @ (powerset @ X2649))|(~(in @ X2652 @ (powerset @ X2649))|(~(in @ X2653 @ X2649)|(~(in @ X2653 @ (binintersect @ X2650 @ X2651))|(in @ X2653 @ (binintersect @ (binunion @ X2650 @ X2652) @ (binunion @ X2651 @ X2652))))))))&((~(in @ X2655 @ (powerset @ X2654))|(~(in @ X2656 @ (powerset @ X2654))|(~(in @ X2657 @ (powerset @ X2654))|(in @ (binintersect @ X2655 @ X2656) @ (powerset @ (binintersect @ (binunion @ X2655 @ X2657) @ (binunion @ X2656 @ X2657)))))))&((~(in @ X2659 @ (powerset @ X2658))|(~(in @ X2660 @ (powerset @ X2658))|(~(in @ X2661 @ X2658)|(~(in @ X2661 @ (setminus @ X2658 @ (binunion @ X2659 @ X2660)))|~(in @ X2661 @ X2659)))))&((~(in @ X2663 @ (powerset @ X2662))|(~(in @ X2664 @ (powerset @ X2662))|(~(in @ X2665 @ X2662)|(~(in @ X2665 @ (setminus @ X2662 @ (binunion @ X2663 @ X2664)))|(in @ X2665 @ (setminus @ X2662 @ X2663))))))&(((((in @ X2670 @ X2668)|(X2669)|(in @ X2670 @ X2667)|~(in @ X2670 @ (binunion @ X2667 @ X2668))|~(in @ X2670 @ X2666)|~(in @ X2668 @ (powerset @ X2666))|~(in @ X2667 @ (powerset @ X2666)))&(~(X2669)|(X2669)|(in @ X2670 @ X2667)|~(in @ X2670 @ (binunion @ X2667 @ X2668))|~(in @ X2670 @ X2666)|~(in @ X2668 @ (powerset @ X2666))|~(in @ X2667 @ (powerset @ X2666))))&(((in @ X2670 @ X2668)|(X2669)|~(X2669)|~(in @ X2670 @ (binunion @ X2667 @ X2668))|~(in @ X2670 @ X2666)|~(in @ X2668 @ (powerset @ X2666))|~(in @ X2667 @ (powerset @ X2666)))&(~(X2669)|(X2669)|~(X2669)|~(in @ X2670 @ (binunion @ X2667 @ X2668))|~(in @ X2670 @ X2666)|~(in @ X2668 @ (powerset @ X2666))|~(in @ X2667 @ (powerset @ X2666)))))&((~(in @ X2672 @ (powerset @ X2671))|(~(in @ X2673 @ (powerset @ X2671))|(~(in @ X2674 @ X2671)|((in @ X2674 @ X2672)|((in @ X2674 @ X2673)|~(in @ X2674 @ (binunion @ X2672 @ X2673)))))))&((~(in @ X2676 @ (powerset @ X2675))|(~(in @ X2677 @ (powerset @ X2675))|(~(in @ X2678 @ X2675)|(~(in @ X2678 @ (setminus @ X2675 @ (binunion @ X2676 @ X2677)))|(in @ X2678 @ (setminus @ X2675 @ X2676))))))&((~(in @ X2680 @ (powerset @ X2679))|(~(in @ X2681 @ (powerset @ X2679))|(in @ (setminus @ X2679 @ (binunion @ X2680 @ X2681)) @ (powerset @ (setminus @ X2679 @ X2680)))))&((~(in @ X2683 @ (powerset @ X2682))|(~(in @ X2684 @ (powerset @ X2682))|(~(in @ X2685 @ X2682)|(~(in @ X2685 @ (setminus @ X2682 @ (binunion @ X2683 @ X2684)))|(in @ X2685 @ (setminus @ X2682 @ X2684))))))&((~(in @ X2687 @ (powerset @ X2686))|(~(in @ X2688 @ (powerset @ X2686))|(~(in @ X2689 @ X2686)|(~(in @ X2689 @ (setminus @ X2686 @ (binintersect @ X2687 @ X2688)))|(in @ X2689 @ (binunion @ (setminus @ X2686 @ X2687) @ (setminus @ X2686 @ X2688)))))))&((~(in @ X2691 @ (powerset @ X2690))|(~(in @ X2692 @ (powerset @ X2690))|(~(in @ X2693 @ X2690)|(~(in @ X2693 @ (binunion @ (setminus @ X2690 @ X2691) @ (setminus @ X2690 @ X2692)))|(in @ X2693 @ (setminus @ X2690 @ (binintersect @ X2691 @ X2692)))))))&((~(in @ X2695 @ (powerset @ X2694))|(~(in @ X2696 @ (powerset @ X2694))|((setminus @ X2694 @ (binintersect @ X2695 @ X2696))=(binunion @ (setminus @ X2694 @ X2695) @ (setminus @ X2694 @ X2696)))))&((~(in @ X2698 @ (powerset @ X2697))|(~(in @ X2699 @ (powerset @ X2697))|(~(in @ X2700 @ X2697)|(~(in @ X2700 @ (setminus @ X2697 @ (binunion @ X2698 @ X2699)))|(in @ X2700 @ (binintersect @ (setminus @ X2697 @ X2698) @ (setminus @ X2697 @ X2699)))))))&((~(in @ X2702 @ (powerset @ X2701))|(~(in @ X2703 @ (powerset @ X2701))|(~(in @ X2704 @ X2701)|(~(in @ X2704 @ (setminus @ X2701 @ X2702))|(~(in @ X2704 @ (setminus @ X2701 @ X2703))|(in @ X2704 @ (setminus @ X2701 @ (binunion @ X2702 @ X2703))))))))&((~(in @ X2706 @ (powerset @ X2705))|(~(in @ X2707 @ (powerset @ X2705))|(~(in @ X2708 @ X2705)|(~(in @ X2708 @ (binintersect @ (setminus @ X2705 @ X2706) @ (setminus @ X2705 @ X2707)))|(in @ X2708 @ (setminus @ X2705 @ (binunion @ X2706 @ X2707)))))))&((~(in @ X2710 @ (powerset @ X2709))|(~(in @ X2711 @ (powerset @ X2709))|((setminus @ X2709 @ (binunion @ X2710 @ X2711))=(binintersect @ (setminus @ X2709 @ X2710) @ (setminus @ X2709 @ X2711)))))&((~(in @ X2713 @ (powerset @ X2712))|(~(in @ X2714 @ (powerset @ X2712))|(~(in @ X2715 @ (binintersect @ X2713 @ X2714))|(in @ X2715 @ X2712))))&((~(in @ X2717 @ (powerset @ X2716))|(~(in @ X2718 @ (powerset @ X2716))|(~(in @ X2719 @ (powerset @ X2716))|(~(subset @ X2717 @ X2719)|(subset @ (binintersect @ X2717 @ X2718) @ X2719)))))&((~(in @ X2721 @ (powerset @ X2720))|(~(in @ X2722 @ (powerset @ X2720))|(~(in @ X2723 @ (powerset @ X2720))|(~(subset @ X2722 @ X2723)|(subset @ (binintersect @ X2721 @ X2722) @ X2723)))))&((~(in @ X2725 @ (powerset @ X2724))|(~(in @ X2726 @ (powerset @ X2724))|(~(in @ X2727 @ (powerset @ X2724))|(~(subset @ X2725 @ X2726)|(~(subset @ X2725 @ X2727)|(subset @ X2725 @ (binintersect @ X2726 @ X2727)))))))&((~(in @ X2729 @ (powerset @ X2728))|(~(in @ X2730 @ (powerset @ X2728))|(~(in @ X2731 @ (powerset @ X2728))|(~(in @ X2732 @ (powerset @ X2728))|(~(subset @ X2729 @ X2731)|(~(subset @ X2730 @ X2732)|(subset @ (binintersect @ X2729 @ X2730) @ (binintersect @ X2731 @ X2732))))))))&((~(in @ X2734 @ (powerset @ X2733))|(~(in @ X2735 @ (powerset @ X2733))|(in @ (setminus @ X2733 @ X2734) @ (powerset @ (setminus @ X2733 @ (binintersect @ X2734 @ X2735))))))&((~(in @ X2737 @ (powerset @ X2736))|(~(in @ X2738 @ (powerset @ X2736))|(~(in @ X2739 @ (powerset @ X2736))|(~(in @ X2740 @ (powerset @ X2736))|((setminus @ X2736 @ (binintersect @ (binunion @ X2737 @ X2738) @ (binunion @ X2739 @ X2740)))=(binunion @ (binintersect @ (setminus @ X2736 @ X2737) @ (setminus @ X2736 @ X2738)) @ (binintersect @ (setminus @ X2736 @ X2739) @ (setminus @ X2736 @ X2740))))))))&((~(in @ X2742 @ (powerset @ X2741))|(~(in @ X2743 @ (powerset @ X2741))|(~(in @ X2744 @ (powerset @ X2741))|(in @ (binintersect @ X2742 @ X2743) @ (powerset @ (binintersect @ (binunion @ X2742 @ X2744) @ (binunion @ X2743 @ X2744)))))))&((in @ esk72_0 @ (powerset @ esk71_0))&((in @ esk73_0 @ (powerset @ esk71_0))&((subset @ esk72_0 @ (setminus @ esk71_0 @ esk73_0))&~(subset @ esk73_0 @ (setminus @ esk71_0 @ esk72_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_335])])])])])])])).
% 3.54/0.95 thf(c_0_337, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ X4 @ (setminus @ X3 @ X2))|~((in @ X2 @ (powerset @ X3)))|~((in @ X4 @ (powerset @ X3)))|~((subset @ X2 @ (setminus @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_336])).
% 3.54/0.95 thf(c_0_338, negated_conjecture, (subset @ esk72_0 @ (setminus @ esk71_0 @ esk73_0)), inference(split_conjunct,[status(thm)],[c_0_336])).
% 3.54/0.95 thf(c_0_339, negated_conjecture, (in @ esk73_0 @ (powerset @ esk71_0)), inference(split_conjunct,[status(thm)],[c_0_336])).
% 3.54/0.95 thf(c_0_340, negated_conjecture, (in @ esk72_0 @ (powerset @ esk71_0)), inference(split_conjunct,[status(thm)],[c_0_336])).
% 3.54/0.95 thf(c_0_341, negated_conjecture, ~((subset @ esk73_0 @ (setminus @ esk71_0 @ esk72_0))), inference(split_conjunct,[status(thm)],[c_0_336])).
% 3.54/0.95 thf(c_0_342, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337, c_0_338]), c_0_339]), c_0_340])]), c_0_341]), ['proof']).
% 3.54/0.95 % SZS output end CNFRefutation
% 3.54/0.95 % Parsed axioms : 607
% 3.54/0.95 % Removed by relevancy pruning/SinE : 325
% 3.54/0.95 % Initial clauses : 446
% 3.54/0.95 % Removed in clause preprocessing : 37
% 3.54/0.95 % Initial clauses in saturation : 409
% 3.54/0.95 % Processed clauses : 1848
% 3.54/0.95 % ...of these trivial : 53
% 3.54/0.95 % ...subsumed : 1128
% 3.54/0.95 % ...remaining for further processing : 667
% 3.54/0.95 % Other redundant clauses eliminated : 84
% 3.54/0.95 % Clauses deleted for lack of memory : 0
% 3.54/0.95 % Backward-subsumed : 45
% 3.54/0.95 % Backward-rewritten : 12
% 3.54/0.95 % Generated clauses : 13540
% 3.54/0.95 % ...of the previous two non-redundant : 11840
% 3.54/0.95 % ...aggressively subsumed : 0
% 3.54/0.95 % Contextual simplify-reflections : 2
% 3.54/0.95 % Paramodulations : 13444
% 3.54/0.95 % Factorizations : 8
% 3.54/0.95 % NegExts : 0
% 3.54/0.95 % Equation resolutions : 87
% 3.54/0.95 % Disequality decompositions : 0
% 3.54/0.95 % Total rewrite steps : 1887
% 3.54/0.95 % ...of those cached : 1614
% 3.54/0.95 % Propositional unsat checks : 0
% 3.54/0.95 % Propositional check models : 0
% 3.54/0.95 % Propositional check unsatisfiable : 0
% 3.54/0.95 % Propositional clauses : 0
% 3.54/0.95 % Propositional clauses after purity: 0
% 3.54/0.95 % Propositional unsat core size : 0
% 3.54/0.95 % Propositional preprocessing time : 0.000
% 3.54/0.95 % Propositional encoding time : 0.000
% 3.54/0.95 % Propositional solver time : 0.000
% 3.54/0.95 % Success case prop preproc time : 0.000
% 3.54/0.95 % Success case prop encoding time : 0.000
% 3.54/0.95 % Success case prop solver time : 0.000
% 3.54/0.95 % Current number of processed clauses : 600
% 3.54/0.96 % Positive orientable unit clauses : 111
% 3.54/0.96 % Positive unorientable unit clauses: 0
% 3.54/0.96 % Negative unit clauses : 7
% 3.54/0.96 % Non-unit-clauses : 482
% 3.54/0.96 % Current number of unprocessed clauses: 10105
% 3.54/0.96 % ...number of literals in the above : 31586
% 3.54/0.96 % Current number of archived formulas : 0
% 3.54/0.96 % Current number of archived clauses : 57
% 3.54/0.96 % Clause-clause subsumption calls (NU) : 60513
% 3.54/0.96 % Rec. Clause-clause subsumption calls : 48138
% 3.54/0.96 % Non-unit clause-clause subsumptions : 1094
% 3.54/0.96 % Unit Clause-clause subsumption calls : 514
% 3.54/0.96 % Rewrite failures with RHS unbound : 0
% 3.54/0.96 % BW rewrite match attempts : 22
% 3.54/0.96 % BW rewrite match successes : 8
% 3.54/0.96 % Condensation attempts : 0
% 3.54/0.96 % Condensation successes : 0
% 3.54/0.96 % Termbank termtop insertions : 220253
% 3.54/0.96 % Search garbage collected termcells : 28890
% 3.54/0.96
% 3.54/0.96 % -------------------------------------------------
% 3.54/0.96 % User time : 0.543 s
% 3.54/0.96 % System time : 0.038 s
% 3.54/0.96 % Total time : 0.581 s
% 3.54/0.96 % Maximum resident set size: 10720 pages
% 3.54/0.96
% 3.54/0.96 % -------------------------------------------------
% 3.54/0.96 % User time : 0.761 s
% 3.54/0.96 % System time : 0.134 s
% 3.54/0.96 % Total time : 0.895 s
% 3.54/0.96 % Maximum resident set size: 5632 pages
% 3.54/0.96 % E exiting
%------------------------------------------------------------------------------