%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU690^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:25:03 AM UTC 2026
% Result : Theorem 2.30s 0.65s
% Output : CNFRefutation 2.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU690^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n006.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 14:10:26 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.21/0.27 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p
% 2.30/0.65 % Version: 3.5.1-ho
% 2.30/0.65 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.30/0.65 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.30/0.65 % Starting ehoh_best5 with 300s (1) cores
% 2.30/0.65 % Starting almost_fo_3_lam with 300s (1) cores
% 2.30/0.65 % Starting new_bool_5 with 300s (1) cores
% 2.30/0.65 % Starting pre_casc_3 with 300s (1) cores
% 2.30/0.65 % Starting ho_unfolding_8 with 300s (1) cores
% 2.30/0.65 % Starting new_ho_10_cnf2 with 300s (1) cores
% 2.30/0.65 % Starting new_bool_3 with 300s (1) cores
% 2.30/0.65 % Starting new_ho_5 with 300s (1) cores
% 2.30/0.65 % new_bool_3 with pid 777785 completed with status 0
% 2.30/0.65 % Result found by new_bool_3
% 2.30/0.65 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.30/0.65 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.30/0.65 % Starting ehoh_best5 with 300s (1) cores
% 2.30/0.65 % Starting almost_fo_3_lam with 300s (1) cores
% 2.30/0.65 % Starting new_bool_5 with 300s (1) cores
% 2.30/0.65 % Starting pre_casc_3 with 300s (1) cores
% 2.30/0.65 % Starting ho_unfolding_8 with 300s (1) cores
% 2.30/0.65 % Starting new_ho_10_cnf2 with 300s (1) cores
% 2.30/0.65 % Starting new_bool_3 with 300s (1) cores
% 2.30/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.30/0.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.30/0.65 % Search class: HGHSM-FSLM32-DHFMMSBN
% 2.30/0.65 % partial match(1): HGHSM-FSLM32-MHFMMSBN
% 2.30/0.65 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 2.30/0.65 % Starting SubtermCWHack with 31s (1) cores
% 2.30/0.65 % SubtermCWHack with pid 777790 completed with status 0
% 2.30/0.65 % Result found by SubtermCWHack
% 2.30/0.65 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.30/0.65 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.30/0.65 % Starting ehoh_best5 with 300s (1) cores
% 2.30/0.65 % Starting almost_fo_3_lam with 300s (1) cores
% 2.30/0.65 % Starting new_bool_5 with 300s (1) cores
% 2.30/0.65 % Starting pre_casc_3 with 300s (1) cores
% 2.30/0.65 % Starting ho_unfolding_8 with 300s (1) cores
% 2.30/0.65 % Starting new_ho_10_cnf2 with 300s (1) cores
% 2.30/0.65 % Starting new_bool_3 with 300s (1) cores
% 2.30/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.30/0.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.30/0.65 % Search class: HGHSM-FSLM32-DHFMMSBN
% 2.30/0.65 % partial match(1): HGHSM-FSLM32-MHFMMSBN
% 2.30/0.65 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 2.30/0.65 % Starting SubtermCWHack with 31s (1) cores
% 2.30/0.65 % Preprocessing time : 0.004 s
% 2.30/0.65
% 2.30/0.65 % Proof found!
% 2.30/0.65 % SZS status Theorem
% 2.30/0.65 % SZS output start CNFRefutation
% 2.30/0.65 thf(decl_23, type, in: $i > $i > $o).
% 2.30/0.65 thf(decl_24, type, exu: ($i > $o) > $o).
% 2.30/0.65 thf(decl_25, type, setextAx: $o).
% 2.30/0.65 thf(decl_26, type, emptyset: $i).
% 2.30/0.65 thf(decl_27, type, emptysetAx: $o).
% 2.30/0.65 thf(decl_28, type, setadjoin: $i > $i > $i).
% 2.30/0.65 thf(decl_29, type, setadjoinAx: $o).
% 2.30/0.65 thf(decl_30, type, powerset: $i > $i).
% 2.30/0.65 thf(decl_31, type, powersetAx: $o).
% 2.30/0.65 thf(decl_32, type, setunion: $i > $i).
% 2.30/0.65 thf(decl_33, type, setunionAx: $o).
% 2.30/0.65 thf(decl_34, type, omega: $i).
% 2.30/0.65 thf(decl_35, type, omega0Ax: $o).
% 2.30/0.65 thf(decl_36, type, omegaSAx: $o).
% 2.30/0.65 thf(decl_37, type, omegaIndAx: $o).
% 2.30/0.65 thf(decl_38, type, replAx: $o).
% 2.30/0.65 thf(decl_39, type, foundationAx: $o).
% 2.30/0.65 thf(decl_40, type, wellorderingAx: $o).
% 2.30/0.65 thf(decl_41, type, descr: ($i > $o) > $i).
% 2.30/0.65 thf(decl_42, type, descrp: $o).
% 2.30/0.65 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_44, type, dsetconstrI: $o).
% 2.30/0.65 thf(decl_45, type, dsetconstrEL: $o).
% 2.30/0.65 thf(decl_46, type, dsetconstrER: $o).
% 2.30/0.65 thf(decl_47, type, exuE1: $o).
% 2.30/0.65 thf(decl_48, type, prop2set: $o > $i).
% 2.30/0.65 thf(decl_49, type, prop2setE: $o).
% 2.30/0.65 thf(decl_50, type, emptysetE: $o).
% 2.30/0.65 thf(decl_51, type, emptysetimpfalse: $o).
% 2.30/0.65 thf(decl_52, type, notinemptyset: $o).
% 2.30/0.65 thf(decl_53, type, exuE3e: $o).
% 2.30/0.65 thf(decl_54, type, setext: $o).
% 2.30/0.65 thf(decl_55, type, emptyI: $o).
% 2.30/0.65 thf(decl_56, type, noeltsimpempty: $o).
% 2.30/0.65 thf(decl_57, type, setbeta: $o).
% 2.30/0.65 thf(decl_58, type, nonempty: $i > $o).
% 2.30/0.65 thf(decl_59, type, nonemptyE1: $o).
% 2.30/0.65 thf(decl_60, type, nonemptyI: $o).
% 2.30/0.65 thf(decl_61, type, nonemptyI1: $o).
% 2.30/0.65 thf(decl_62, type, setadjoinIL: $o).
% 2.30/0.65 thf(decl_63, type, emptyinunitempty: $o).
% 2.30/0.65 thf(decl_64, type, setadjoinIR: $o).
% 2.30/0.65 thf(decl_65, type, setadjoinE: $o).
% 2.30/0.65 thf(decl_66, type, setadjoinOr: $o).
% 2.30/0.65 thf(decl_67, type, setoftrueEq: $o).
% 2.30/0.65 thf(decl_68, type, powersetI: $o).
% 2.30/0.65 thf(decl_69, type, emptyinPowerset: $o).
% 2.30/0.65 thf(decl_70, type, emptyInPowerset: $o).
% 2.30/0.65 thf(decl_71, type, powersetE: $o).
% 2.30/0.65 thf(decl_72, type, setunionI: $o).
% 2.30/0.65 thf(decl_73, type, setunionE: $o).
% 2.30/0.65 thf(decl_74, type, subPowSU: $o).
% 2.30/0.65 thf(decl_75, type, exuE2: $o).
% 2.30/0.65 thf(decl_76, type, nonemptyImpWitness: $o).
% 2.30/0.65 thf(decl_77, type, uniqinunit: $o).
% 2.30/0.65 thf(decl_78, type, notinsingleton: $o).
% 2.30/0.65 thf(decl_79, type, eqinunit: $o).
% 2.30/0.65 thf(decl_80, type, singletonsswitch: $o).
% 2.30/0.65 thf(decl_81, type, upairsetE: $o).
% 2.30/0.65 thf(decl_82, type, upairsetIL: $o).
% 2.30/0.65 thf(decl_83, type, upairsetIR: $o).
% 2.30/0.65 thf(decl_84, type, emptyE1: $o).
% 2.30/0.65 thf(decl_85, type, vacuousDall: $o).
% 2.30/0.65 thf(decl_86, type, quantDeMorgan1: $o).
% 2.30/0.65 thf(decl_87, type, quantDeMorgan2: $o).
% 2.30/0.65 thf(decl_88, type, quantDeMorgan3: $o).
% 2.30/0.65 thf(decl_89, type, quantDeMorgan4: $o).
% 2.30/0.65 thf(decl_90, type, prop2setI: $o).
% 2.30/0.65 thf(decl_92, type, prop2set2propI: $o).
% 2.30/0.65 thf(decl_93, type, notdexE: $o).
% 2.30/0.65 thf(decl_94, type, notdallE: $o).
% 2.30/0.65 thf(decl_95, type, exuI1: $o).
% 2.30/0.65 thf(decl_96, type, exuI3: $o).
% 2.30/0.65 thf(decl_97, type, exuI2: $o).
% 2.30/0.65 thf(decl_98, type, inCongP: $o).
% 2.30/0.65 thf(decl_99, type, in__Cong: $o).
% 2.30/0.65 thf(decl_100, type, exuE3u: $o).
% 2.30/0.65 thf(decl_101, type, exu__Cong: $o).
% 2.30/0.65 thf(decl_102, type, emptyset__Cong: $o).
% 2.30/0.65 thf(decl_103, type, setadjoin__Cong: $o).
% 2.30/0.65 thf(decl_104, type, powerset__Cong: $o).
% 2.30/0.65 thf(decl_105, type, setunion__Cong: $o).
% 2.30/0.65 thf(decl_106, type, omega__Cong: $o).
% 2.30/0.65 thf(decl_107, type, exuEu: $o).
% 2.30/0.65 thf(decl_108, type, descr__Cong: $o).
% 2.30/0.65 thf(decl_109, type, dsetconstr__Cong: $o).
% 2.30/0.65 thf(decl_110, type, subset: $i > $i > $o).
% 2.30/0.65 thf(decl_113, type, subsetI1: $o).
% 2.30/0.65 thf(decl_114, type, eqimpsubset2: $o).
% 2.30/0.65 thf(decl_115, type, eqimpsubset1: $o).
% 2.30/0.65 thf(decl_116, type, subsetI2: $o).
% 2.30/0.65 thf(decl_117, type, emptysetsubset: $o).
% 2.30/0.65 thf(decl_118, type, subsetE: $o).
% 2.30/0.65 thf(decl_119, type, subsetE2: $o).
% 2.30/0.65 thf(decl_120, type, notsubsetI: $o).
% 2.30/0.65 thf(decl_121, type, notequalI1: $o).
% 2.30/0.65 thf(decl_122, type, notequalI2: $o).
% 2.30/0.65 thf(decl_123, type, subsetRefl: $o).
% 2.30/0.65 thf(decl_124, type, subsetTrans: $o).
% 2.30/0.65 thf(decl_125, type, setadjoinSub: $o).
% 2.30/0.65 thf(decl_126, type, setadjoinSub2: $o).
% 2.30/0.65 thf(decl_127, type, subset2powerset: $o).
% 2.30/0.65 thf(decl_128, type, setextsub: $o).
% 2.30/0.65 thf(decl_129, type, subsetemptysetimpeq: $o).
% 2.30/0.65 thf(decl_130, type, powersetI1: $o).
% 2.30/0.65 thf(decl_131, type, powersetE1: $o).
% 2.30/0.65 thf(decl_132, type, inPowerset: $o).
% 2.30/0.65 thf(decl_133, type, powersetsubset: $o).
% 2.30/0.65 thf(decl_134, type, sepInPowerset: $o).
% 2.30/0.65 thf(decl_135, type, sepSubset: $o).
% 2.30/0.65 thf(decl_136, type, binunion: $i > $i > $i).
% 2.30/0.65 thf(decl_137, type, binunionIL: $o).
% 2.30/0.65 thf(decl_138, type, upairset2IR: $o).
% 2.30/0.65 thf(decl_139, type, binunionIR: $o).
% 2.30/0.65 thf(decl_140, type, binunionEcases: $o).
% 2.30/0.65 thf(decl_141, type, binunionE: $o).
% 2.30/0.65 thf(decl_142, type, binunionLsub: $o).
% 2.30/0.65 thf(decl_143, type, binunionRsub: $o).
% 2.30/0.65 thf(decl_144, type, binintersect: $i > $i > $i).
% 2.30/0.65 thf(decl_145, type, binintersectI: $o).
% 2.30/0.65 thf(decl_146, type, binintersectSubset5: $o).
% 2.30/0.65 thf(decl_147, type, binintersectEL: $o).
% 2.30/0.65 thf(decl_148, type, binintersectLsub: $o).
% 2.30/0.65 thf(decl_149, type, binintersectSubset2: $o).
% 2.30/0.65 thf(decl_150, type, binintersectSubset3: $o).
% 2.30/0.65 thf(decl_151, type, binintersectER: $o).
% 2.30/0.65 thf(decl_152, type, disjointsetsI1: $o).
% 2.30/0.65 thf(decl_153, type, binintersectRsub: $o).
% 2.30/0.65 thf(decl_154, type, binintersectSubset4: $o).
% 2.30/0.65 thf(decl_155, type, binintersectSubset1: $o).
% 2.30/0.65 thf(decl_156, type, bs114d: $o).
% 2.30/0.65 thf(decl_158, type, setminus: $i > $i > $i).
% 2.30/0.65 thf(decl_159, type, setminusI: $o).
% 2.30/0.65 thf(decl_160, type, setminusEL: $o).
% 2.30/0.65 thf(decl_161, type, setminusER: $o).
% 2.30/0.65 thf(decl_162, type, setminusSubset2: $o).
% 2.30/0.65 thf(decl_163, type, setminusERneg: $o).
% 2.30/0.65 thf(decl_164, type, setminusELneg: $o).
% 2.30/0.65 thf(decl_165, type, setminusILneg: $o).
% 2.30/0.65 thf(decl_166, type, setminusIRneg: $o).
% 2.30/0.65 thf(decl_167, type, setminusLsub: $o).
% 2.30/0.65 thf(decl_168, type, setminusSubset1: $o).
% 2.30/0.65 thf(decl_169, type, symdiff: $i > $i > $i).
% 2.30/0.65 thf(decl_170, type, symdiffE: $o).
% 2.30/0.65 thf(decl_171, type, symdiffI1: $o).
% 2.30/0.65 thf(decl_172, type, symdiffI2: $o).
% 2.30/0.65 thf(decl_173, type, symdiffIneg1: $o).
% 2.30/0.65 thf(decl_174, type, symdiffIneg2: $o).
% 2.30/0.65 thf(decl_175, type, iskpair: $i > $o).
% 2.30/0.65 thf(decl_176, type, secondinupair: $o).
% 2.30/0.65 thf(decl_177, type, setukpairIL: $o).
% 2.30/0.65 thf(decl_178, type, setukpairIR: $o).
% 2.30/0.65 thf(decl_179, type, kpairiskpair: $o).
% 2.30/0.65 thf(decl_180, type, kpair: $i > $i > $i).
% 2.30/0.65 thf(decl_181, type, kpairp: $o).
% 2.30/0.65 thf(decl_182, type, cartprod: $i > $i > $i).
% 2.30/0.65 thf(decl_183, type, singletonsubset: $o).
% 2.30/0.65 thf(decl_184, type, singletoninpowerset: $o).
% 2.30/0.65 thf(decl_185, type, singletoninpowunion: $o).
% 2.30/0.65 thf(decl_186, type, upairset2E: $o).
% 2.30/0.65 thf(decl_187, type, upairsubunion: $o).
% 2.30/0.65 thf(decl_188, type, upairinpowunion: $o).
% 2.30/0.65 thf(decl_189, type, ubforcartprodlem1: $o).
% 2.30/0.65 thf(decl_190, type, ubforcartprodlem2: $o).
% 2.30/0.65 thf(decl_191, type, ubforcartprodlem3: $o).
% 2.30/0.65 thf(decl_192, type, cartprodpairin: $o).
% 2.30/0.65 thf(decl_193, type, cartprodmempair1: $o).
% 2.30/0.65 thf(decl_194, type, cartprodmempair: $o).
% 2.30/0.65 thf(decl_195, type, setunionE2: $o).
% 2.30/0.65 thf(decl_196, type, setunionsingleton1: $o).
% 2.30/0.65 thf(decl_197, type, setunionsingleton2: $o).
% 2.30/0.65 thf(decl_198, type, setunionsingleton: $o).
% 2.30/0.65 thf(decl_199, type, singleton: $i > $o).
% 2.30/0.65 thf(decl_200, type, singletonprop: $o).
% 2.30/0.65 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 2.30/0.65 thf(decl_202, type, ex1E1: $o).
% 2.30/0.65 thf(decl_203, type, ex1I: $o).
% 2.30/0.65 thf(decl_204, type, ex1I2: $o).
% 2.30/0.65 thf(decl_205, type, singletonsuniq: $o).
% 2.30/0.65 thf(decl_210, type, setukpairinjL1: $o).
% 2.30/0.65 thf(decl_211, type, kfstsingleton: $o).
% 2.30/0.65 thf(decl_212, type, theprop: $o).
% 2.30/0.65 thf(decl_213, type, kfst: $i > $i).
% 2.30/0.65 thf(decl_214, type, kfstpairEq: $o).
% 2.30/0.65 thf(decl_215, type, cartprodfstin: $o).
% 2.30/0.65 thf(decl_216, type, setukpairinjL2: $o).
% 2.30/0.65 thf(decl_217, type, setukpairinjL: $o).
% 2.30/0.65 thf(decl_218, type, setukpairinjR11: $o).
% 2.30/0.65 thf(decl_219, type, setukpairinjR12: $o).
% 2.30/0.65 thf(decl_220, type, setukpairinjR1: $o).
% 2.30/0.65 thf(decl_221, type, upairequniteq: $o).
% 2.30/0.65 thf(decl_222, type, setukpairinjR2: $o).
% 2.30/0.65 thf(decl_223, type, setukpairinjR: $o).
% 2.30/0.65 thf(decl_224, type, ksndsingleton: $o).
% 2.30/0.65 thf(decl_225, type, ksnd: $i > $i).
% 2.30/0.65 thf(decl_226, type, ksndpairEq: $o).
% 2.30/0.65 thf(decl_227, type, kpairsurjEq: $o).
% 2.30/0.65 thf(decl_228, type, cartprodsndin: $o).
% 2.30/0.65 thf(decl_229, type, cartprodpairmemEL: $o).
% 2.30/0.65 thf(decl_230, type, cartprodpairmemER: $o).
% 2.30/0.65 thf(decl_231, type, cartprodmempaircEq: $o).
% 2.30/0.65 thf(decl_232, type, cartprodfstpairEq: $o).
% 2.30/0.65 thf(decl_233, type, cartprodsndpairEq: $o).
% 2.30/0.65 thf(decl_234, type, cartprodpairsurjEq: $o).
% 2.30/0.65 thf(decl_235, type, breln: $i > $i > $i > $o).
% 2.30/0.65 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.30/0.65 thf(decl_237, type, dpsetconstrI: $o).
% 2.30/0.65 thf(decl_238, type, dpsetconstrSub: $o).
% 2.30/0.65 thf(decl_239, type, setOfPairsIsBReln: $o).
% 2.30/0.65 thf(decl_240, type, dpsetconstrERa: $o).
% 2.30/0.65 thf(decl_241, type, dpsetconstrEL1: $o).
% 2.30/0.65 thf(decl_242, type, dpsetconstrEL2: $o).
% 2.30/0.65 thf(decl_243, type, dpsetconstrER: $o).
% 2.30/0.65 thf(decl_244, type, func: $i > $i > $i > $o).
% 2.30/0.65 thf(decl_245, type, funcSet: $i > $i > $i).
% 2.30/0.65 thf(decl_246, type, funcImageSingleton: $o).
% 2.30/0.65 thf(decl_247, type, apProp: $o).
% 2.30/0.65 thf(decl_248, type, ap: $i > $i > $i > $i > $i).
% 2.30/0.65 thf(decl_249, type, app: $o).
% 2.30/0.65 thf(decl_250, type, infuncsetfunc: $o).
% 2.30/0.65 thf(decl_251, type, ap2p: $o).
% 2.30/0.65 thf(decl_252, type, funcinfuncset: $o).
% 2.30/0.65 thf(decl_253, type, lamProp: $o).
% 2.30/0.65 thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
% 2.30/0.65 thf(decl_255, type, lamp: $o).
% 2.30/0.65 thf(decl_256, type, lam2p: $o).
% 2.30/0.65 thf(decl_257, type, brelnall1: $o).
% 2.30/0.65 thf(decl_258, type, brelnall2: $o).
% 2.30/0.65 thf(decl_259, type, ex1E2: $o).
% 2.30/0.65 thf(decl_260, type, funcGraphProp1: $o).
% 2.30/0.65 thf(decl_261, type, funcGraphProp3: $o).
% 2.30/0.65 thf(decl_262, type, funcGraphProp2: $o).
% 2.30/0.65 thf(decl_263, type, funcextLem: $o).
% 2.30/0.65 thf(decl_264, type, funcGraphProp4: $o).
% 2.30/0.65 thf(decl_265, type, subbreln: $o).
% 2.30/0.65 thf(decl_266, type, epred1_0: $o).
% 2.30/0.65 thf(decl_267, type, esk1_2: $i > $i > $i).
% 2.30/0.65 thf(decl_268, type, esk2_2: $i > $i > $i).
% 2.30/0.65 thf(decl_269, type, esk3_2: $i > $i > $i).
% 2.30/0.65 thf(decl_270, type, esk4_1: $i > $i).
% 2.30/0.65 thf(decl_271, type, esk5_2: ($i > $i > $o) > $i > $i).
% 2.30/0.65 thf(decl_272, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 2.30/0.65 thf(decl_273, type, esk7_2: ($i > $i > $o) > $i > $i).
% 2.30/0.65 thf(decl_274, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 2.30/0.65 thf(decl_275, type, esk9_1: $i > $i).
% 2.30/0.65 thf(decl_276, type, esk10_2: ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_277, type, esk11_2: ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_278, type, esk12_1: ($i > $o) > $i).
% 2.30/0.65 thf(decl_279, type, esk13_2: ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_280, type, esk14_1: ($i > $o) > $i).
% 2.30/0.65 thf(decl_281, type, esk15_2: $i > $i > $i).
% 2.30/0.65 thf(decl_282, type, esk16_2: $i > $i > $i).
% 2.30/0.65 thf(decl_283, type, esk17_1: $i > $i).
% 2.30/0.65 thf(decl_284, type, esk18_1: $i > $i).
% 2.30/0.65 thf(decl_285, type, esk19_1: $i > $i).
% 2.30/0.65 thf(decl_286, type, esk20_2: $i > $i > $i).
% 2.30/0.65 thf(decl_287, type, esk21_3: $i > $i > $o > $i).
% 2.30/0.65 thf(decl_288, type, esk22_2: ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_289, type, esk23_1: ($i > $o) > $i).
% 2.30/0.65 thf(decl_290, type, esk24_1: $i > $i).
% 2.30/0.65 thf(decl_291, type, esk25_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_292, type, esk26_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_293, type, esk27_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_294, type, esk28_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_295, type, esk29_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_296, type, esk30_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_297, type, esk31_2: ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_298, type, esk32_1: ($i > $o) > $i).
% 2.30/0.65 thf(decl_299, type, esk33_1: ($i > $o) > $i).
% 2.30/0.65 thf(decl_300, type, esk34_1: ($i > $o) > $i).
% 2.30/0.65 thf(decl_301, type, esk35_1: ($i > $o) > $i).
% 2.30/0.65 thf(decl_302, type, esk36_2: ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_303, type, esk37_1: ($i > $o) > $i).
% 2.30/0.65 thf(decl_304, type, esk38_2: ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_305, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 2.30/0.65 thf(decl_306, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 2.30/0.65 thf(decl_307, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_308, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 2.30/0.65 thf(decl_309, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_310, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 2.30/0.65 thf(decl_311, type, esk45_2: ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_312, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 2.30/0.65 thf(decl_313, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 2.30/0.65 thf(decl_314, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_315, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_316, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.30/0.65 thf(decl_317, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.30/0.65 thf(decl_318, type, esk52_2: $i > $i > $i).
% 2.30/0.65 thf(decl_319, type, esk53_2: $i > $i > $i).
% 2.30/0.65 thf(decl_320, type, esk54_2: $i > $i > $i).
% 2.30/0.65 thf(decl_321, type, esk55_3: $i > $i > $i > $i).
% 2.30/0.65 thf(decl_322, type, esk56_3: $i > $i > $i > $i).
% 2.30/0.65 thf(decl_323, type, esk57_2: $i > $i > $i).
% 2.30/0.65 thf(decl_324, type, esk58_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_325, type, esk59_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_326, type, esk60_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_327, type, esk61_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_328, type, esk62_3: $i > ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_329, type, esk63_3: $i > ($i > $o) > $i > $i).
% 2.30/0.65 thf(decl_330, type, esk64_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_331, type, esk65_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_332, type, esk66_2: $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_333, type, esk67_1: $i > $i).
% 2.30/0.65 thf(decl_334, type, esk68_1: $i > $i).
% 2.30/0.65 thf(decl_335, type, esk69_3: $i > $i > $i > $i).
% 2.30/0.65 thf(decl_336, type, esk70_4: $i > $i > $i > $i > $i).
% 2.30/0.65 thf(decl_337, type, esk71_3: $i > $i > $i > $i).
% 2.30/0.65 thf(decl_338, type, esk72_3: $i > $i > $i > $i).
% 2.30/0.65 thf(decl_339, type, esk73_4: $i > $i > $i > $i > $i).
% 2.30/0.65 thf(decl_340, type, esk74_3: $i > $i > $i > $i).
% 2.30/0.65 thf(decl_341, type, esk75_3: $i > $i > ($i > $i) > $i).
% 2.30/0.65 thf(decl_342, type, esk76_4: $i > $i > ($i > $i) > $i > $i).
% 2.30/0.65 thf(decl_343, type, esk77_3: $i > $i > ($i > $i) > $i).
% 2.30/0.65 thf(decl_344, type, esk78_4: $i > $i > ($i > $i) > $i > $i).
% 2.30/0.65 thf(decl_345, type, esk79_3: $i > $i > ($i > $i) > $i).
% 2.30/0.65 thf(decl_346, type, esk80_4: $i > $i > $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_347, type, esk81_4: $i > $i > $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_348, type, esk82_4: $i > $i > $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_349, type, esk83_4: $i > $i > $i > ($i > $o) > $i).
% 2.30/0.65 thf(decl_350, type, esk84_3: $i > $i > $i > $i).
% 2.30/0.65 thf(decl_351, type, esk85_3: $i > $i > $i > $i).
% 2.30/0.65 thf(decl_352, type, esk86_3: $i > $i > $i > $i).
% 2.30/0.65 thf(decl_353, type, esk87_4: $i > $i > $i > $i > $i).
% 2.30/0.65 thf(decl_354, type, esk88_4: $i > $i > $i > $i > $i).
% 2.30/0.65 thf(decl_355, type, esk89_4: $i > $i > $i > $i > $i).
% 2.30/0.65 thf(decl_356, type, esk90_4: $i > $i > $i > $i > $i).
% 2.30/0.65 thf(decl_357, type, esk91_0: $i).
% 2.30/0.65 thf(decl_358, type, esk92_0: $i).
% 2.30/0.65 thf(decl_359, type, esk93_0: $i).
% 2.30/0.65 thf(decl_360, type, esk94_0: $i).
% 2.30/0.65 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ex1)).
% 2.30/0.65 thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ X4))&(((X4)=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', singleton)).
% 2.30/0.65 thf(func, axiom, ((func)=(^[X4:$i, X5:$i, X29:$i]:((((breln @ X4 @ X5 @ X29))&(![X2:$i]:((((in @ X2 @ X4))=>((ex1 @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', func)).
% 2.30/0.65 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', breln)).
% 2.30/0.65 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setOfPairsIsBReln)).
% 2.30/0.65 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30)))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', funcImageSingleton)).
% 2.30/0.65 thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30))))) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', apProp)).
% 2.30/0.65 thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X31 @ X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', lamProp)).
% 2.30/0.65 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X33 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', lamp)).
% 2.30/0.65 thf(lam, axiom, ((lam)=(^[X4:$i, X5:$i, X32:$i > $i]:(dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X32 @ X2)=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', lam)).
% 2.30/0.65 thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X34:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X34 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X34 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', lam2p)).
% 2.30/0.65 thf(ex1E2, axiom, ((ex1E2)<=>![X4:$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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ex1E2)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', exuI1)).
% 2.30/0.65 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', exu)).
% 2.30/0.65 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', exu__Cong)).
% 2.30/0.65 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', exuE3u)).
% 2.30/0.65 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', exuI2)).
% 2.30/0.65 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', exuI3)).
% 2.30/0.65 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', descr__Cong)).
% 2.30/0.65 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', exuEu)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ex1I)).
% 2.30/0.65 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ex1E1)).
% 2.30/0.65 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', singletonprop)).
% 2.30/0.65 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ex1I2)).
% 2.30/0.65 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', kfstsingleton)).
% 2.30/0.65 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ksndsingleton)).
% 2.30/0.65 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', nonempty)).
% 2.30/0.65 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', exuE2)).
% 2.30/0.65 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', nonemptyI)).
% 2.30/0.65 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', exuE3e)).
% 2.30/0.65 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', exuE1)).
% 2.30/0.65 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', descrp)).
% 2.30/0.65 thf(replAx, axiom, ((replAx)<=>![X6:$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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', replAx)).
% 2.30/0.65 thf(eqbreln, 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)=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X36:$i]:(((breln @ X4 @ X5 @ X36)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(in @ (kpair @ X2 @ X3) @ X36))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X36)=>(in @ (kpair @ X2 @ X3) @ X29))))))=>((X29)=(X36)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', eqbreln)).
% 2.30/0.65 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', emptyE1)).
% 2.30/0.65 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:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', dpsetconstrI)).
% 2.30/0.65 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', dpsetconstrSub)).
% 2.30/0.65 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', dpsetconstrERa)).
% 2.30/0.65 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', dpsetconstrEL1)).
% 2.30/0.65 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', dpsetconstrEL2)).
% 2.30/0.65 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', dpsetconstrER)).
% 2.30/0.65 thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', app)).
% 2.30/0.65 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X30)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', infuncsetfunc)).
% 2.30/0.65 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>(in @ X30 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', funcinfuncset)).
% 2.30/0.65 thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', brelnall1)).
% 2.30/0.65 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', brelnall2)).
% 2.30/0.65 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', funcGraphProp1)).
% 2.30/0.65 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X30)=>((ap @ X4 @ X5 @ X30 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', funcGraphProp2)).
% 2.30/0.65 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X35:$i]:(((func @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X30 @ X2)=(ap @ X4 @ X5 @ X35 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X30)))))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', funcextLem)).
% 2.30/0.65 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X36:$i]:(((breln @ X4 @ X5 @ X36)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(in @ (kpair @ X2 @ X3) @ X36))))))=>(subset @ X29 @ X36))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', subbreln)).
% 2.30/0.65 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', dsetconstr__Cong)).
% 2.30/0.65 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', sepSubset)).
% 2.30/0.65 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', sepInPowerset)).
% 2.30/0.65 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', theprop)).
% 2.30/0.65 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', nonemptyImpWitness)).
% 2.30/0.65 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setoftrueEq)).
% 2.30/0.65 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', nonemptyI1)).
% 2.30/0.65 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', nonemptyE1)).
% 2.30/0.65 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setbeta)).
% 2.30/0.65 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', dsetconstrER)).
% 2.30/0.65 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', dsetconstrEL)).
% 2.30/0.65 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', dsetconstrI)).
% 2.30/0.65 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodpairmemER)).
% 2.30/0.65 thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodmempaircEq)).
% 2.30/0.65 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodfstpairEq)).
% 2.30/0.65 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodsndpairEq)).
% 2.30/0.65 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', upairsetIR)).
% 2.30/0.65 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodpairsurjEq)).
% 2.30/0.65 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', upairsetIL)).
% 2.30/0.65 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', upairsetE)).
% 2.30/0.65 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', vacuousDall)).
% 2.30/0.65 thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ap2p)).
% 2.30/0.65 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', notdallE)).
% 2.30/0.65 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', notdexE)).
% 2.30/0.65 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', prop2setI)).
% 2.30/0.65 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', quantDeMorgan4)).
% 2.30/0.65 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', quantDeMorgan3)).
% 2.30/0.65 thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', funcGraphProp3)).
% 2.30/0.65 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', quantDeMorgan2)).
% 2.30/0.65 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', quantDeMorgan1)).
% 2.30/0.65 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X30)=>((ap @ X4 @ X5 @ X30 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', funcGraphProp4)).
% 2.30/0.65 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', emptyset__Cong)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', in__Cong)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', inCongP)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setadjoin__Cong)).
% 2.30/0.65 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binintersectEL)).
% 2.30/0.65 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binintersectSubset5)).
% 2.30/0.65 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', subsetI1)).
% 2.30/0.65 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', omega__Cong)).
% 2.30/0.65 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setunion__Cong)).
% 2.30/0.65 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', powerset__Cong)).
% 2.30/0.65 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', eqimpsubset2)).
% 2.30/0.65 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', notequalI1)).
% 2.30/0.65 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', notsubsetI)).
% 2.30/0.65 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', subsetE2)).
% 2.30/0.65 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', subsetE)).
% 2.30/0.65 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', emptysetsubset)).
% 2.30/0.65 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', subsetI2)).
% 2.30/0.65 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', eqimpsubset1)).
% 2.30/0.65 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', notequalI2)).
% 2.30/0.65 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', subsetemptysetimpeq)).
% 2.30/0.65 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setextsub)).
% 2.30/0.65 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', subset2powerset)).
% 2.30/0.65 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setadjoinSub2)).
% 2.30/0.65 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setadjoinSub)).
% 2.30/0.65 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', subsetTrans)).
% 2.30/0.65 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', subsetRefl)).
% 2.30/0.65 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', powersetI1)).
% 2.30/0.65 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', upairset2IR)).
% 2.30/0.65 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binunionIL)).
% 2.30/0.65 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', powersetsubset)).
% 2.30/0.65 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', inPowerset)).
% 2.30/0.65 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', powersetE1)).
% 2.30/0.65 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binunionIR)).
% 2.30/0.65 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binintersectI)).
% 2.30/0.65 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binunionRsub)).
% 2.30/0.65 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binunionLsub)).
% 2.30/0.65 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binunionE)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binunionEcases)).
% 2.30/0.65 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binintersectLsub)).
% 2.30/0.65 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binintersectSubset1)).
% 2.30/0.65 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binintersectSubset4)).
% 2.30/0.65 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binintersectRsub)).
% 2.30/0.65 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', disjointsetsI1)).
% 2.30/0.65 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binintersectER)).
% 2.30/0.65 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binintersectSubset3)).
% 2.30/0.65 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', binintersectSubset2)).
% 2.30/0.65 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', bs114d)).
% 2.30/0.65 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setminusILneg)).
% 2.30/0.65 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setminusELneg)).
% 2.30/0.65 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setminusERneg)).
% 2.30/0.65 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setminusSubset2)).
% 2.30/0.65 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setminusER)).
% 2.30/0.65 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setminusEL)).
% 2.30/0.65 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setminusI)).
% 2.30/0.65 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setminusIRneg)).
% 2.30/0.65 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', symdiffIneg2)).
% 2.30/0.65 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', symdiffIneg1)).
% 2.30/0.65 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', symdiffI2)).
% 2.30/0.65 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', symdiffI1)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', symdiffE)).
% 2.30/0.65 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setminusSubset1)).
% 2.30/0.65 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setminusLsub)).
% 2.30/0.65 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', secondinupair)).
% 2.30/0.65 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', singletoninpowunion)).
% 2.30/0.65 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', singletoninpowerset)).
% 2.30/0.65 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', singletonsubset)).
% 2.30/0.65 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', kpairp)).
% 2.30/0.65 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', kpairiskpair)).
% 2.30/0.65 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setukpairIR)).
% 2.30/0.65 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setukpairIL)).
% 2.30/0.65 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', upairset2E)).
% 2.30/0.65 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodmempair1)).
% 2.30/0.65 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodpairin)).
% 2.30/0.65 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ubforcartprodlem3)).
% 2.30/0.65 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ubforcartprodlem2)).
% 2.30/0.65 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ubforcartprodlem1)).
% 2.30/0.65 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', upairinpowunion)).
% 2.30/0.65 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', upairsubunion)).
% 2.30/0.65 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodmempair)).
% 2.30/0.65 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setunionsingleton)).
% 2.30/0.65 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setunionsingleton2)).
% 2.30/0.65 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setunionsingleton1)).
% 2.30/0.65 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setunionE2)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setukpairinjL2)).
% 2.30/0.65 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodfstin)).
% 2.30/0.65 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', kfstpairEq)).
% 2.30/0.65 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setukpairinjL1)).
% 2.30/0.65 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', singletonsuniq)).
% 2.30/0.65 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setukpairinjL)).
% 2.30/0.65 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setukpairinjR)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setukpairinjR2)).
% 2.30/0.65 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', upairequniteq)).
% 2.30/0.65 thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setukpairinjR1)).
% 2.30/0.65 thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setukpairinjR12)).
% 2.30/0.65 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setukpairinjR11)).
% 2.30/0.65 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', ksndpairEq)).
% 2.30/0.65 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', kpairsurjEq)).
% 2.30/0.65 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodsndin)).
% 2.30/0.65 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', cartprodpairmemEL)).
% 2.30/0.65 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', singletonsswitch)).
% 2.30/0.65 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', eqinunit)).
% 2.30/0.65 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', notinsingleton)).
% 2.30/0.65 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', uniqinunit)).
% 2.30/0.65 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', subPowSU)).
% 2.30/0.65 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setunionE)).
% 2.30/0.65 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setunionI)).
% 2.30/0.65 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', powersetE)).
% 2.30/0.65 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', emptyInPowerset)).
% 2.30/0.65 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', emptyinPowerset)).
% 2.30/0.65 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', powersetI)).
% 2.30/0.65 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setadjoinOr)).
% 2.30/0.65 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setadjoinE)).
% 2.30/0.65 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setadjoinIR)).
% 2.30/0.65 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', emptyinunitempty)).
% 2.30/0.65 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setadjoinIL)).
% 2.30/0.65 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', noeltsimpempty)).
% 2.30/0.65 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', emptyI)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setext)).
% 2.30/0.65 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', notinemptyset)).
% 2.30/0.65 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', emptysetimpfalse)).
% 2.30/0.65 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', emptysetE)).
% 2.30/0.65 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', prop2setE)).
% 2.30/0.65 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', wellorderingAx)).
% 2.30/0.65 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/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', foundationAx)).
% 2.30/0.65 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', omegaIndAx)).
% 2.30/0.65 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', omegaSAx)).
% 2.30/0.65 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', omega0Ax)).
% 2.30/0.65 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setunionAx)).
% 2.30/0.65 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', powersetAx)).
% 2.30/0.65 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setadjoinAx)).
% 2.30/0.65 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', emptysetAx)).
% 2.30/0.65 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.IbtTdipkZ7/E---3.1_777754.p', setextAx)).
% 2.30/0.65 thf(c_0_213, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X685:$i]:((((in @ X685 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X685 @ emptyset))))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 2.30/0.65 thf(c_0_214, plain, ((singleton)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ Z0))&(((Z0)=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[singleton])).
% 2.30/0.65 thf(c_0_215, plain, ((func)=(^[Z0:$i, Z1:$i, Z2:$i]:(((((subset @ Z2 @ (cartprod @ Z0 @ Z1))))&(![X2:$i]:((((in @ X2 @ Z0))=>((?[X692:$i]:((((in @ X692 @ (dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))))&(((dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X692 @ emptyset)))))))))))))), inference(fof_simplification,[status(thm)],[func])).
% 2.30/0.65 thf(c_0_216, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
% 2.30/0.65 thf(c_0_217, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X685:$i]:((((in @ X685 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X685 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_213, c_0_214])).
% 2.30/0.65 thf(c_0_218, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 2.30/0.65 thf(c_0_219, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X30)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
% 2.30/0.65 thf(c_0_220, plain, ((func)=(^[Z0:$i, Z1:$i, Z2:$i]:(((((subset @ Z2 @ (cartprod @ Z0 @ Z1))))&(![X2:$i]:((((in @ X2 @ Z0))=>((?[X692:$i]:((((in @ X692 @ (dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))))&(((dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X692 @ emptyset)))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_215, c_0_216]), c_0_217])).
% 2.30/0.65 thf(c_0_221, plain, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
% 2.30/0.65 thf(c_0_222, plain, ((lamProp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X31 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
% 2.30/0.65 thf(c_0_223, plain, ((lamp)<=>![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X33 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
% 2.30/0.65 thf(c_0_224, plain, ((lam)=(^[Z0:$i, Z1:$i, Z2:$i > $i]:(dpsetconstr @ Z0 @ Z1 @ (^[Z3:$i, Z4:$i]:(((Z2 @ Z3)=(Z4))))))), inference(fof_simplification,[status(thm)],[lam])).
% 2.30/0.65 thf(c_0_225, plain, ((lam2p)<=>![X4:$i, X5:$i, X34:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X34 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X34 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
% 2.30/0.65 thf(c_0_226, plain, ((ex1E2)<=>![X4:$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])).
% 2.30/0.65 thf(c_0_227, 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])).
% 2.30/0.65 thf(c_0_228, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 2.30/0.65 thf(c_0_229, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 2.30/0.65 thf(c_0_230, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 2.30/0.65 thf(c_0_231, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 2.30/0.65 thf(c_0_232, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 2.30/0.65 thf(c_0_233, plain, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 2.30/0.65 thf(c_0_234, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 2.30/0.65 thf(c_0_235, 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])).
% 2.30/0.65 thf(c_0_236, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 2.30/0.65 thf(c_0_237, plain, ((singletonprop)<=>![X4:$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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 2.30/0.65 thf(c_0_238, plain, ((ex1I2)<=>![X4:$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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 2.30/0.65 thf(c_0_239, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 2.30/0.65 thf(c_0_240, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 2.30/0.65 thf(c_0_241, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 2.30/0.65 thf(c_0_242, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 2.30/0.65 thf(c_0_243, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 2.30/0.65 thf(c_0_244, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 2.30/0.65 thf(c_0_245, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 2.30/0.65 thf(c_0_246, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 2.30/0.65 thf(c_0_247, plain, ((replAx)<=>![X6:$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])).
% 2.30/0.65 thf(c_0_248, 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)=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X36:$i]:(((breln @ X4 @ X5 @ X36)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(in @ (kpair @ X2 @ X3) @ X36))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X36)=>(in @ (kpair @ X2 @ X3) @ X29))))))=>((X29)=(X36))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[eqbreln])).
% 2.30/0.65 thf(c_0_249, plain, ((emptyE1)<=>![X4:$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])).
% 2.30/0.65 thf(c_0_250, 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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 2.30/0.65 thf(c_0_251, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 2.30/0.65 thf(c_0_252, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_218, c_0_216])).
% 2.30/0.65 thf(c_0_253, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 2.30/0.65 thf(c_0_254, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 2.30/0.65 thf(c_0_255, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 2.30/0.65 thf(c_0_256, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 2.30/0.65 thf(c_0_257, plain, ((funcImageSingleton)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X693:$i]:((((in @ X693 @ X4))=>((?[X694:$i]:((((in @ X694 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X693 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X693 @ Z0) @ X30)))))=(setadjoin @ X694 @ emptyset)))))))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>((?[X695:$i]:((((in @ X695 @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))=(setadjoin @ X695 @ emptyset)))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_219, c_0_220]), c_0_214])).
% 2.30/0.65 thf(c_0_258, plain, ((apProp)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X696:$i]:((((in @ X696 @ X4))=>((?[X697:$i]:((((in @ X697 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X696 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X696 @ Z0) @ X30)))))=(setadjoin @ X697 @ emptyset)))))))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>((in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))) @ X5))))))))), inference(apply_def,[status(thm)],[c_0_221, c_0_220])).
% 2.30/0.65 thf(c_0_259, axiom, ((app)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X698:$i]:((((in @ X698 @ X4))=>((?[X699:$i]:((((in @ X699 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X698 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X698 @ Z0) @ X30)))))=(setadjoin @ X699 @ emptyset)))))))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>((in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5))))))))), inference(apply_def,[status(thm)],[app, c_0_220])).
% 2.30/0.65 thf(c_0_260, axiom, ((infuncsetfunc)=(![X4:$i, X5:$i, X30:$i]:((((in @ X30 @ (funcSet @ X4 @ X5)))=>((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X700:$i]:((((in @ X700 @ X4))=>((?[X701:$i]:((((in @ X701 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X700 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X700 @ Z0) @ X30)))))=(setadjoin @ X701 @ emptyset))))))))))))))))), inference(apply_def,[status(thm)],[infuncsetfunc, c_0_220])).
% 2.30/0.65 thf(c_0_261, axiom, ((funcinfuncset)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X702:$i]:((((in @ X702 @ X4))=>((?[X703:$i]:((((in @ X703 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X702 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X702 @ Z0) @ X30)))))=(setadjoin @ X703 @ emptyset)))))))))))))=>((in @ X30 @ (funcSet @ X4 @ X5))))))), inference(apply_def,[status(thm)],[funcinfuncset, c_0_220])).
% 2.30/0.65 thf(c_0_262, plain, ((lamProp)=(![X4:$i, X5:$i, X31:$i > $i]:(((![X2:$i]:((((in @ X2 @ X4))=>((in @ (X31 @ X2) @ X5)))))=>((((((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X31 @ Z0)=(Z1))))) @ (cartprod @ X4 @ X5))))&(![X704:$i]:((((in @ X704 @ X4))=>((?[X705:$i]:((((in @ X705 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X704 @ Z0) @ (dpsetconstr @ X4 @ X5 @ (^[Z1:$i, Z2:$i]:(((X31 @ Z1)=(Z2))))))))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X704 @ Z0) @ (dpsetconstr @ X4 @ X5 @ (^[Z1:$i, Z2:$i]:(((X31 @ Z1)=(Z2))))))))))=(setadjoin @ X705 @ emptyset))))))))))))))))), inference(apply_def,[status(thm)],[c_0_222, c_0_220])).
% 2.30/0.65 thf(c_0_263, plain, ((lamp)=(![X4:$i, X5:$i, X33:$i > $i]:(((![X2:$i]:((((in @ X2 @ X4))=>((in @ (X33 @ X2) @ X5)))))=>((((((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X33 @ Z0)=(Z1))))) @ (cartprod @ X4 @ X5))))&(![X706:$i]:((((in @ X706 @ X4))=>((?[X707:$i]:((((in @ X707 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X706 @ Z0) @ (dpsetconstr @ X4 @ X5 @ (^[Z1:$i, Z2:$i]:(((X33 @ Z1)=(Z2))))))))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X706 @ Z0) @ (dpsetconstr @ X4 @ X5 @ (^[Z1:$i, Z2:$i]:(((X33 @ Z1)=(Z2))))))))))=(setadjoin @ X707 @ emptyset))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_223, c_0_220]), c_0_224])).
% 2.30/0.65 thf(c_0_264, plain, ((lam2p)=(![X4:$i, X5:$i, X34:$i > $i]:(((![X2:$i]:((((in @ X2 @ X4))=>((in @ (X34 @ X2) @ X5)))))=>((in @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X34 @ Z0)=(Z1))))) @ (funcSet @ X4 @ X5))))))), inference(apply_def,[status(thm)],[c_0_225, c_0_224])).
% 2.30/0.65 thf(c_0_265, axiom, ((brelnall1)=(![X4:$i, X5:$i, X29:$i]:(((((subset @ X29 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X29))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X29))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_216])).
% 2.30/0.65 thf(c_0_266, axiom, ((brelnall2)=(![X4:$i, X5:$i, X29:$i]:(((((subset @ X29 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X29))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X29))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_216])).
% 2.30/0.65 thf(c_0_267, plain, ((ex1E2)=(![X4:$i, X1:$i > $o]:((((?[X708:$i]:((((in @ X708 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X708 @ emptyset)))))))=>(![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))))))))))), inference(apply_def,[status(thm)],[c_0_226, c_0_217])).
% 2.30/0.65 thf(c_0_268, axiom, ((funcGraphProp1)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X709:$i]:((((in @ X709 @ X4))=>((?[X710:$i]:((((in @ X710 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X709 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X709 @ Z0) @ X30)))))=(setadjoin @ X710 @ emptyset)))))))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>((in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30))))))))), inference(apply_def,[status(thm)],[funcGraphProp1, c_0_220])).
% 2.30/0.65 thf(c_0_269, axiom, ((funcGraphProp2)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X711:$i]:((((in @ X711 @ X4))=>((?[X712:$i]:((((in @ X712 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X711 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X711 @ Z0) @ X30)))))=(setadjoin @ X712 @ emptyset)))))))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X30))=>(((ap @ X4 @ X5 @ X30 @ X2)=(X3))))))))))))))), inference(apply_def,[status(thm)],[funcGraphProp2, c_0_220])).
% 2.30/0.65 thf(c_0_270, axiom, ((funcextLem)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X713:$i]:((((in @ X713 @ X4))=>((?[X714:$i]:((((in @ X714 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X713 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X713 @ Z0) @ X30)))))=(setadjoin @ X714 @ emptyset)))))))))))))=>(![X35:$i]:((((((((subset @ X35 @ (cartprod @ X4 @ X5))))&(![X715:$i]:((((in @ X715 @ X4))=>((?[X716:$i]:((((in @ X716 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X715 @ Z0) @ X35)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X715 @ Z0) @ X35)))))=(setadjoin @ X716 @ emptyset)))))))))))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(((ap @ X4 @ X5 @ X30 @ X2)=(ap @ X4 @ X5 @ X35 @ X2))))))=>(![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X35))=>((in @ (kpair @ X2 @ X3) @ X30))))))))))))))))))), inference(apply_def,[status(thm)],[funcextLem, c_0_220])).
% 2.30/0.65 thf(c_0_271, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X666:$i]:(((((X1 @ X666)))&(![X667:$i]:(((((X1 @ X667)))=>(((X666)=(X667)))))))))))))), inference(apply_def,[status(thm)],[c_0_227, c_0_228])).
% 2.30/0.65 thf(c_0_272, axiom, ((subbreln)=(![X4:$i, X5:$i, X29:$i]:(((((subset @ X29 @ (cartprod @ X4 @ X5))))=>(![X36:$i]:(((((subset @ X36 @ (cartprod @ X4 @ X5))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X29))=>((in @ (kpair @ X2 @ X3) @ X36))))))))))=>((subset @ X29 @ X36))))))))))), inference(apply_def,[status(thm)],[subbreln, c_0_216])).
% 2.30/0.65 thf(c_0_273, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X674:$i]:(((((X1 @ X674)))&(![X675:$i]:(((((X1 @ X675)))=>(((X674)=(X675))))))))))<=>((?[X676:$i]:(((((X17 @ X676)))&(![X677:$i]:(((((X17 @ X677)))=>(((X676)=(X677)))))))))))))))), inference(apply_def,[status(thm)],[c_0_229, c_0_228])).
% 2.30/0.65 thf(c_0_274, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X672:$i]:(((((X1 @ X672)))&(![X673:$i]:(((((X1 @ X673)))=>(((X672)=(X673))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_230, c_0_228])).
% 2.30/0.65 thf(c_0_275, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X670:$i]:(((((X1 @ X670)))&(![X671:$i]:(((((X1 @ X671)))=>(((X670)=(X671)))))))))))))), inference(apply_def,[status(thm)],[c_0_231, c_0_228])).
% 2.30/0.65 thf(c_0_276, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X668:$i]:(((((X1 @ X668)))&(![X669:$i]:(((((X1 @ X669)))=>(((X668)=(X669)))))))))))))))), inference(apply_def,[status(thm)],[c_0_232, c_0_228])).
% 2.30/0.65 thf(c_0_277, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 2.30/0.65 thf(c_0_278, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X680:$i]:(((((X1 @ X680)))&(![X681:$i]:(((((X1 @ X681)))=>(((X680)=(X681))))))))))=>((((?[X682:$i]:(((((X17 @ X682)))&(![X683:$i]:(((((X17 @ X683)))=>(((X682)=(X683))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_233, c_0_228])).
% 2.30/0.65 thf(c_0_279, plain, ((exuEu)=(![X1:$i > $o]:((((?[X678:$i]:(((((X1 @ X678)))&(![X679:$i]:(((((X1 @ X679)))=>(((X678)=(X679))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_234, c_0_228])).
% 2.30/0.65 thf(c_0_280, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 2.30/0.65 thf(c_0_281, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 2.30/0.65 thf(c_0_282, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>(((![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X3))=>(((X3)=(X2))))))))=>((?[X687:$i]:((((in @ X687 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X687 @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[c_0_235, c_0_217])).
% 2.30/0.65 thf(c_0_283, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((?[X686:$i]:((((in @ X686 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X686 @ emptyset)))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_236, c_0_217])).
% 2.30/0.65 thf(c_0_284, plain, ((singletonprop)=(![X4:$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)))))=>((?[X684:$i]:((((in @ X684 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(setadjoin @ X684 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_237, c_0_214])).
% 2.30/0.65 thf(c_0_285, plain, ((ex1I2)=(![X4:$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)))))=>((?[X688:$i]:((((in @ X688 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X688 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_238, c_0_217])).
% 2.30/0.65 thf(c_0_286, axiom, ((theprop)=(![X21:$i]:((((?[X690:$i]:((((in @ X690 @ X21))&(((X21)=(setadjoin @ X690 @ emptyset)))))))=>((in @ (setunion @ X21) @ X21)))))), inference(apply_def,[status(thm)],[theprop, c_0_214])).
% 2.30/0.65 thf(c_0_287, plain, ((kfstsingleton)=(![X18:$i]:((((iskpair @ X18))=>((?[X689:$i]:((((in @ X689 @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))))&(((dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X689 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_239, c_0_214])).
% 2.30/0.65 thf(c_0_288, plain, ((ksndsingleton)=(![X18:$i]:((((iskpair @ X18))=>((?[X691:$i]:((((in @ X691 @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))))&(((dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))=(setadjoin @ X691 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_240, c_0_214])).
% 2.30/0.65 thf(c_0_289, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_241])).
% 2.30/0.65 thf(c_0_290, plain, ((exuE2)=(![X1:$i > $o]:((((?[X664:$i]:(((((X1 @ X664)))&(![X665:$i]:(((((X1 @ X665)))=>(((X664)=(X665))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_242, c_0_228])).
% 2.30/0.65 thf(c_0_291, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 2.30/0.65 thf(c_0_292, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_241])).
% 2.30/0.65 thf(c_0_293, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_243, c_0_241])).
% 2.30/0.65 thf(c_0_294, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_241])).
% 2.30/0.65 thf(c_0_295, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 2.30/0.65 thf(c_0_296, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X662:$i]:(((((X1 @ X662)))&(![X663:$i]:(((((X1 @ X663)))=>(((X662)=(X663))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_244, c_0_228])).
% 2.30/0.65 thf(c_0_297, plain, ((exuE1)=(![X1:$i > $o]:((((?[X660:$i]:(((((X1 @ X660)))&(![X661:$i]:(((((X1 @ X661)))=>(((X660)=(X661))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_245, c_0_228])).
% 2.30/0.65 thf(c_0_298, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 2.30/0.65 thf(c_0_299, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 2.30/0.65 thf(c_0_300, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 2.30/0.65 thf(c_0_301, plain, ((descrp)=(![X1:$i > $o]:((((?[X658:$i]:(((((X1 @ X658)))&(![X659:$i]:(((((X1 @ X659)))=>(((X658)=(X659))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_246, c_0_228])).
% 2.30/0.65 thf(c_0_302, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X656:$i]:(((((X6 @ X2 @ X656)))&(![X657:$i]:(((((X6 @ X2 @ X657)))=>(((X656)=(X657)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_247, c_0_228])).
% 2.30/0.65 thf(c_0_303, plain, ((epred1_0)<=>![X746:$i]:(?[X747:$i]:((((![X748:$i]:(((in @ X748 @ X747)=>![X749:$i]:(((in @ X749 @ X748)=>(in @ X749 @ X746)))))&![X750:$i, X751:$i]:((((in @ X750 @ X746)&(in @ X751 @ X746))=>(![X752:$i]:(((in @ X752 @ X747)=>((in @ X750 @ X752)<=>(in @ X751 @ X752))))=>((X750)=(X751))))))&![X753:$i, X754:$i]:((((in @ X753 @ X747)&(in @ X754 @ X747))=>(![X755:$i]:(((in @ X755 @ X753)=>(in @ X755 @ X754)))|![X756:$i]:(((in @ X756 @ X754)=>(in @ X756 @ X753)))))))&![X757:$i]:(((![X758:$i]:(((in @ X758 @ X757)=>(in @ X758 @ X746)))&?[X759:$i]:((in @ X759 @ X757)))=>?[X760:$i, X761:$i]:(((((in @ X760 @ X747)&(in @ X761 @ X757))&~(?[X762:$i]:(((in @ X762 @ X760)&(in @ X762 @ X757)))))&![X763:$i]:(((in @ X763 @ X747)=>(![X764:$i]:(((in @ X764 @ X763)=>(in @ X764 @ X760)))|(in @ X761 @ X763)))))))))))), introduced(definition)).
% 2.30/0.65 thf(c_0_304, negated_conjecture, ~((![X717:$i, X718:$i]:((![X719:$i]:(((in @ X719 @ X717)<=>(in @ X719 @ X718)))=>((X717)=(X718))))=>(![X720:$i]:(~(in @ X720 @ emptyset))=>(![X721:$i, X722:$i, X723:$i]:(((in @ X723 @ (setadjoin @ X721 @ X722))<=>(((X723)=(X721))|(in @ X723 @ X722))))=>(![X724:$i, X725:$i]:(((in @ X725 @ (powerset @ X724))<=>![X726:$i]:(((in @ X726 @ X725)=>(in @ X726 @ X724)))))=>(![X727:$i, X728:$i]:(((in @ X728 @ (setunion @ X727))<=>?[X729:$i]:(((in @ X728 @ X729)&(in @ X729 @ X727)))))=>((in @ emptyset @ omega)=>(![X730:$i]:(((in @ X730 @ omega)=>(in @ (setadjoin @ X730 @ X730) @ omega)))=>(![X731:$i]:((((in @ emptyset @ X731)&![X732:$i]:((((in @ X732 @ omega)&(in @ X732 @ X731))=>(in @ (setadjoin @ X732 @ X732) @ X731))))=>![X733:$i]:(((in @ X733 @ omega)=>(in @ X733 @ X731)))))=>(![X734:$i > $i > $o, X735:$i]:((![X736:$i]:(((in @ X736 @ X735)=>?[X737:$i]:(((X734 @ X736 @ X737)&![X738:$i]:(((X734 @ X736 @ X738)=>((X737)=(X738))))))))=>?[X739:$i]:(![X740:$i]:(((in @ X740 @ X739)<=>?[X741:$i]:(((in @ X741 @ X735)&(X734 @ X741 @ X740))))))))=>(![X742:$i]:((?[X743:$i]:((in @ X743 @ X742))=>?[X744:$i]:(((in @ X744 @ X742)&~(?[X745:$i]:(((in @ X745 @ X744)&(in @ X745 @ X742))))))))=>((epred1_0)=>(![X765:$i > $o]:((?[X766:$i]:(((X765 @ X766)&![X767:$i]:(((X765 @ X767)=>((X766)=(X767))))))=>(X765 @ (descr @ (^[Z0:$i]:(X765 @ Z0))))))=>(![X768:$i, X769:$i > $o, X770:$i]:(((in @ X770 @ X768)=>((X769 @ X770)=>(in @ X770 @ (dsetconstr @ X768 @ X769)))))=>(![X771:$i, X772:$i > $o, X773:$i]:(((in @ X773 @ (dsetconstr @ X771 @ X772))=>(in @ X773 @ X771)))=>(![X774:$i, X775:$i > $o, X776:$i]:(((in @ X776 @ (dsetconstr @ X774 @ X775))=>(X775 @ X776)))=>(![X777:$i > $o]:((?[X778:$i]:(((X777 @ X778)&![X779:$i]:(((X777 @ X779)=>((X778)=(X779))))))=>?[X780:$i]:(((X777 @ X780)&![X781:$i]:(((X777 @ X781)=>((X780)=(X781))))))))=>(![X782:$o, X783:$i]:(((in @ X783 @ (prop2set @ ((X782))))=>(X782)))=>(![X784:$i]:(((in @ X784 @ emptyset)=>![X785:$o]:((X785))))=>(![X786:$i]:(((in @ X786 @ emptyset)=>~($true)))=>(![X787:$i]:(~(in @ X787 @ emptyset))=>(![X788:$i > $o]:((?[X789:$i]:(((X788 @ X789)&![X790:$i]:(((X788 @ X790)=>((X789)=(X790))))))=>?[X791:$i]:((X788 @ X791))))=>(![X792:$i, X793:$i]:((![X794:$i]:(((in @ X794 @ X792)=>(in @ X794 @ X793)))=>(![X795:$i]:(((in @ X795 @ X793)=>(in @ X795 @ X792)))=>((X792)=(X793)))))=>(![X796:$i]:((![X797:$i]:(~(in @ X797 @ X796))=>((X796)=(emptyset))))=>(![X798:$i]:((![X799:$i]:(~(in @ X799 @ X798))=>((X798)=(emptyset))))=>(![X800:$i, X801:$i > $o, X802:$i]:(((in @ X802 @ X800)=>((in @ X802 @ (dsetconstr @ X800 @ X801))<=>(X801 @ X802))))=>(![X803:$i]:((((X803)!=(emptyset))=>?[X804:$i]:((in @ X804 @ X803))))=>(![X805:$i, X806:$i > $o, X807:$i]:(((in @ X807 @ X805)=>((X806 @ X807)=>((dsetconstr @ X805 @ X806)!=(emptyset)))))=>(![X808:$i]:((?[X809:$i]:((in @ X809 @ X808))=>((X808)!=(emptyset))))=>(![X810:$i, X811:$i]:((in @ X810 @ (setadjoin @ X810 @ X811)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X812:$i, X813:$i, X814:$i]:(((in @ X814 @ X813)=>(in @ X814 @ (setadjoin @ X812 @ X813))))=>(![X815:$i, X816:$i, X817:$i]:(((in @ X817 @ (setadjoin @ X815 @ X816))=>![X818:$o]:(((((X817)=(X815))=>(X818))=>(((in @ X817 @ X816)=>(X818))=>(X818))))))=>(![X819:$i, X820:$i, X821:$i]:(((in @ X821 @ (setadjoin @ X819 @ X820))=>(((X821)=(X819))|(in @ X821 @ X820))))=>(![X822:$i]:(((dsetconstr @ X822 @ (^[Z0:$i]:($true)))=(X822)))=>(![X823:$i, X824:$i]:((![X825:$i]:(((in @ X825 @ X824)=>(in @ X825 @ X823)))=>(in @ X824 @ (powerset @ X823))))=>(![X826:$i]:((in @ emptyset @ (powerset @ X826)))=>(![X827:$i]:((in @ emptyset @ (powerset @ X827)))=>(![X828:$i, X829:$i, X830:$i]:(((in @ X829 @ (powerset @ X828))=>((in @ X830 @ X829)=>(in @ X830 @ X828))))=>(![X831:$i, X832:$i, X833:$i]:(((in @ X832 @ X833)=>((in @ X833 @ X831)=>(in @ X832 @ (setunion @ X831)))))=>(![X834:$i, X835:$i]:(((in @ X835 @ (setunion @ X834))=>![X836:$o]:((![X837:$i]:(((in @ X835 @ X837)=>((in @ X837 @ X834)=>(X836))))=>(X836)))))=>(![X838:$i, X839:$i]:(((in @ X839 @ X838)=>(in @ X839 @ (powerset @ (setunion @ X838)))))=>(![X840:$i > $o]:((?[X841:$i]:(((X840 @ X841)&![X842:$i]:(((X840 @ X842)=>((X841)=(X842))))))=>?[X843:$i]:(![X844:$i]:(((X840 @ X844)<=>((X844)=(X843)))))))=>(![X845:$i]:((((X845)!=(emptyset))=>?[X846:$i]:(((in @ X846 @ X845)&$true))))=>(![X847:$i, X848:$i]:(((in @ X847 @ (setadjoin @ X848 @ emptyset))=>((X847)=(X848))))=>(![X849:$i, X850:$i]:((((X849)!=(X850))=>~(in @ X850 @ (setadjoin @ X849 @ emptyset))))=>(![X851:$i, X852:$i]:((((X851)=(X852))=>(in @ X851 @ (setadjoin @ X852 @ emptyset))))=>(![X853:$i, X854:$i]:(((in @ X853 @ (setadjoin @ X854 @ emptyset))=>(in @ X854 @ (setadjoin @ X853 @ emptyset))))=>(![X855:$i, X856:$i, X857:$i]:(((in @ X857 @ (setadjoin @ X855 @ (setadjoin @ X856 @ emptyset)))=>(((X857)=(X855))|((X857)=(X856)))))=>(![X858:$i, X859:$i]:((in @ X858 @ (setadjoin @ X858 @ (setadjoin @ X859 @ emptyset))))=>(![X860:$i, X861:$i]:((in @ X861 @ (setadjoin @ X860 @ (setadjoin @ X861 @ emptyset))))=>(![X862:$i, X863:$i > $o]:((?[X864:$i]:(((in @ X864 @ X862)&(X863 @ X864)))=>(((dsetconstr @ X862 @ X863)=(emptyset))=>~($true))))=>(![X865:$i > $o, X866:$i]:(((in @ X866 @ emptyset)=>(X865 @ X866)))=>(![X867:$i, X868:$i > $o]:((~(![X869:$i]:(((in @ X869 @ X867)=>(X868 @ X869))))=>?[X870:$i]:(((in @ X870 @ X867)&~((X868 @ X870))))))=>(![X871:$i, X872:$i > $o]:((![X873:$i]:(((in @ X873 @ X871)=>~((X872 @ X873))))=>~(?[X874:$i]:(((in @ X874 @ X871)&(X872 @ X874))))))=>(![X875:$i, X876:$i > $o]:((~(?[X877:$i]:(((in @ X877 @ X875)&(X876 @ X877))))=>![X878:$i]:(((in @ X878 @ X875)=>~((X876 @ X878))))))=>(![X879:$i, X880:$i > $o]:((?[X881:$i]:(((in @ X881 @ X879)&~((X880 @ X881))))=>~(![X882:$i]:(((in @ X882 @ X879)=>(X880 @ X882))))))=>(![X883:$o]:(((X883)=>(in @ emptyset @ (prop2set @ ((X883))))))=>((prop2set2propI)=>(![X884:$i, X885:$i > $o]:((~(?[X886:$i]:(((in @ X886 @ X884)&(X885 @ X886))))=>![X887:$i]:(((in @ X887 @ X884)=>~((X885 @ X887))))))=>(![X888:$i, X889:$i > $o]:((~(![X890:$i]:(((in @ X890 @ X888)=>(X889 @ X890))))=>?[X891:$i]:(((in @ X891 @ X888)&~((X889 @ X891))))))=>(![X892:$i > $o]:((?[X893:$i]:(((X892 @ X893)&![X894:$i]:(((X892 @ X894)=>((X893)=(X894))))))=>?[X895:$i]:(((X892 @ X895)&![X896:$i]:(((X892 @ X896)=>((X895)=(X896))))))))=>(![X897:$i > $o]:((?[X898:$i]:((X897 @ X898))=>(![X899:$i, X900:$i]:(((X897 @ X899)=>((X897 @ X900)=>((X899)=(X900)))))=>?[X901:$i]:(((X897 @ X901)&![X902:$i]:(((X897 @ X902)=>((X901)=(X902)))))))))=>(![X903:$i > $o]:((?[X904:$i]:(![X905:$i]:(((X903 @ X905)<=>((X905)=(X904)))))=>?[X906:$i]:(((X903 @ X906)&![X907:$i]:(((X903 @ X907)=>((X906)=(X907))))))))=>(![X908:$i, X909:$i]:((((X908)=(X909))=>![X910:$i, X911:$i]:((((X910)=(X911))=>((in @ X910 @ X908)=>(in @ X911 @ X909))))))=>(![X912:$i, X913:$i]:((((X912)=(X913))=>![X914:$i, X915:$i]:((((X914)=(X915))=>((in @ X914 @ X912)<=>(in @ X915 @ X913))))))=>(![X916:$i > $o]:((?[X917:$i]:(((X916 @ X917)&![X918:$i]:(((X916 @ X918)=>((X917)=(X918))))))=>![X919:$i, X920:$i]:(((X916 @ X919)=>((X916 @ X920)=>((X919)=(X920)))))))=>(![X921:$i > $o, X922:$i > $o]:((![X923:$i, X924:$i]:((((X923)=(X924))=>((X921 @ X923)<=>(X922 @ X924))))=>(?[X925:$i]:(((X921 @ X925)&![X926:$i]:(((X921 @ X926)=>((X925)=(X926))))))<=>?[X927:$i]:(((X922 @ X927)&![X928:$i]:(((X922 @ X928)=>((X927)=(X928)))))))))=>(((emptyset)=(emptyset))=>(![X929:$i, X930:$i]:((((X929)=(X930))=>![X931:$i, X932:$i]:((((X931)=(X932))=>((setadjoin @ X929 @ X931)=(setadjoin @ X930 @ X932))))))=>(![X933:$i, X934:$i]:((((X933)=(X934))=>((powerset @ X933)=(powerset @ X934))))=>(![X935:$i, X936:$i]:((((X935)=(X936))=>((setunion @ X935)=(setunion @ X936))))=>(((omega)=(omega))=>(![X937:$i > $o]:((?[X938:$i]:(((X937 @ X938)&![X939:$i]:(((X937 @ X939)=>((X938)=(X939))))))=>![X940:$i, X941:$i]:(((X937 @ X940)=>((X937 @ X941)=>((X940)=(X941)))))))=>(![X942:$i > $o, X943:$i > $o]:((![X944:$i, X945:$i]:((((X944)=(X945))=>((X942 @ X944)<=>(X943 @ X945))))=>(?[X946:$i]:(((X942 @ X946)&![X947:$i]:(((X942 @ X947)=>((X946)=(X947))))))=>(?[X948:$i]:(((X943 @ X948)&![X949:$i]:(((X943 @ X949)=>((X948)=(X949))))))=>((descr @ X942)=(descr @ X943))))))=>(![X950:$i, X951:$i]:((((X950)=(X951))=>![X952:$i > $o, X953:$i > $o]:((![X954:$i]:(((in @ X954 @ X950)=>![X955:$i]:(((in @ X955 @ X951)=>(((X954)=(X955))=>((X952 @ X954)<=>(X953 @ X955)))))))=>((dsetconstr @ X950 @ X952)=(dsetconstr @ X951 @ X953))))))=>(![X956:$i, X957:$i]:((![X958:$i]:(((in @ X958 @ X956)=>(in @ X958 @ X957)))=>(subset @ X956 @ X957)))=>(![X959:$i, X960:$i]:((((X959)=(X960))=>(subset @ X960 @ X959)))=>(![X961:$i, X962:$i]:((((X961)=(X962))=>(subset @ X961 @ X962)))=>(![X963:$i, X964:$i]:((![X965:$i]:(((in @ X965 @ X963)=>(in @ X965 @ X964)))=>(subset @ X963 @ X964)))=>(![X966:$i]:((subset @ emptyset @ X966))=>(![X967:$i, X968:$i, X969:$i]:(((subset @ X967 @ X968)=>((in @ X969 @ X967)=>(in @ X969 @ X968))))=>(![X970:$i, X971:$i, X972:$i]:(((subset @ X970 @ X971)=>(~(in @ X972 @ X971)=>~(in @ X972 @ X970))))=>(![X973:$i, X974:$i, X975:$i]:(((in @ X975 @ X973)=>(~(in @ X975 @ X974)=>~(subset @ X973 @ X974))))=>(![X976:$i, X977:$i]:((~(subset @ X976 @ X977)=>((X976)!=(X977))))=>(![X978:$i, X979:$i, X980:$i]:(((in @ X980 @ X978)=>(~(in @ X980 @ X979)=>((X978)!=(X979)))))=>(![X981:$i]:((subset @ X981 @ X981))=>(![X982:$i, X983:$i, X984:$i]:(((subset @ X982 @ X983)=>((subset @ X983 @ X984)=>(subset @ X982 @ X984))))=>(![X985:$i, X986:$i]:((subset @ X986 @ (setadjoin @ X985 @ X986)))=>(![X987:$i, X988:$i, X989:$i]:(((subset @ X987 @ X989)=>(subset @ X987 @ (setadjoin @ X988 @ X989))))=>(![X990:$i, X991:$i]:(((subset @ X990 @ X991)=>(in @ X990 @ (powerset @ X991))))=>(![X992:$i, X993:$i]:(((subset @ X992 @ X993)=>((subset @ X993 @ X992)=>((X992)=(X993)))))=>(![X994:$i]:(((subset @ X994 @ emptyset)=>((X994)=(emptyset))))=>(![X995:$i, X996:$i]:(((subset @ X996 @ X995)=>(in @ X996 @ (powerset @ X995))))=>(![X997:$i, X998:$i]:(((in @ X998 @ (powerset @ X997))=>(subset @ X998 @ X997)))=>(![X999:$i]:((in @ X999 @ (powerset @ X999)))=>(![X1000:$i, X1001:$i]:(((subset @ X1000 @ X1001)=>(subset @ (powerset @ X1000) @ (powerset @ X1001))))=>(![X1002:$i, X1003:$i > $o]:((in @ (dsetconstr @ X1002 @ X1003) @ (powerset @ X1002)))=>(![X1004:$i, X1005:$i > $o]:((subset @ (dsetconstr @ X1004 @ X1005) @ X1004))=>(![X1006:$i, X1007:$i, X1008:$i]:(((in @ X1008 @ X1006)=>(in @ X1008 @ (binunion @ X1006 @ X1007))))=>(![X1009:$i, X1010:$i]:((in @ X1010 @ (setadjoin @ X1009 @ (setadjoin @ X1010 @ emptyset))))=>(![X1011:$i, X1012:$i, X1013:$i]:(((in @ X1013 @ X1012)=>(in @ X1013 @ (binunion @ X1011 @ X1012))))=>(![X1014:$i, X1015:$i, X1016:$i, X1017:$o]:(((in @ X1016 @ (binunion @ X1014 @ X1015))=>(((in @ X1016 @ X1014)=>(X1017))=>(((in @ X1016 @ X1015)=>(X1017))=>(X1017)))))=>(![X1018:$i, X1019:$i, X1020:$i]:(((in @ X1020 @ (binunion @ X1018 @ X1019))=>((in @ X1020 @ X1018)|(in @ X1020 @ X1019))))=>(![X1021:$i, X1022:$i]:((subset @ X1021 @ (binunion @ X1021 @ X1022)))=>(![X1023:$i, X1024:$i]:((subset @ X1024 @ (binunion @ X1023 @ X1024)))=>(![X1025:$i, X1026:$i, X1027:$i]:(((in @ X1027 @ X1025)=>((in @ X1027 @ X1026)=>(in @ X1027 @ (binintersect @ X1025 @ X1026)))))=>(![X1028:$i, X1029:$i, X1030:$i]:(((subset @ X1030 @ X1028)=>((subset @ X1030 @ X1029)=>(subset @ X1030 @ (binintersect @ X1028 @ X1029)))))=>(![X1031:$i, X1032:$i, X1033:$i]:(((in @ X1033 @ (binintersect @ X1031 @ X1032))=>(in @ X1033 @ X1031)))=>(![X1034:$i, X1035:$i]:((subset @ (binintersect @ X1034 @ X1035) @ X1034))=>(![X1036:$i, X1037:$i]:(((subset @ X1036 @ X1037)=>((binintersect @ X1036 @ X1037)=(X1036))))=>(![X1038:$i, X1039:$i]:((((binintersect @ X1038 @ X1039)=(X1039))=>(subset @ X1039 @ X1038)))=>(![X1040:$i, X1041:$i, X1042:$i]:(((in @ X1042 @ (binintersect @ X1040 @ X1041))=>(in @ X1042 @ X1041)))=>(![X1043:$i, X1044:$i]:((~(?[X1045:$i]:(((in @ X1045 @ X1043)&(in @ X1045 @ X1044))))=>((binintersect @ X1043 @ X1044)=(emptyset))))=>(![X1046:$i, X1047:$i]:((subset @ (binintersect @ X1046 @ X1047) @ X1047))=>(![X1048:$i, X1049:$i]:(((subset @ X1049 @ X1048)=>((binintersect @ X1048 @ X1049)=(X1049))))=>(![X1050:$i, X1051:$i]:((((binintersect @ X1050 @ X1051)=(X1050))=>(subset @ X1050 @ X1051)))=>(![X1052:$i, X1053:$i, X1054:$i]:(((binintersect @ X1052 @ (binunion @ X1053 @ X1054))=(binunion @ (binintersect @ X1052 @ X1053) @ (binintersect @ X1052 @ X1054))))=>(![X1055:$i, X1056:$i, X1057:$i]:(((in @ X1057 @ X1055)=>(~(in @ X1057 @ X1056)=>(in @ X1057 @ (setminus @ X1055 @ X1056)))))=>(![X1058:$i, X1059:$i, X1060:$i]:(((in @ X1060 @ (setminus @ X1058 @ X1059))=>(in @ X1060 @ X1058)))=>(![X1061:$i, X1062:$i, X1063:$i]:(((in @ X1063 @ (setminus @ X1061 @ X1062))=>~(in @ X1063 @ X1062)))=>(![X1064:$i, X1065:$i]:(((subset @ X1064 @ X1065)=>((setminus @ X1064 @ X1065)=(emptyset))))=>(![X1066:$i, X1067:$i, X1068:$i]:((~(in @ X1068 @ (setminus @ X1066 @ X1067))=>((in @ X1068 @ X1066)=>(in @ X1068 @ X1067))))=>(![X1069:$i, X1070:$i, X1071:$i]:((~(in @ X1071 @ (setminus @ X1069 @ X1070))=>(~(in @ X1071 @ X1070)=>~(in @ X1071 @ X1069))))=>(![X1072:$i, X1073:$i, X1074:$i]:((~(in @ X1074 @ X1072)=>~(in @ X1074 @ (setminus @ X1072 @ X1073))))=>(![X1075:$i, X1076:$i, X1077:$i]:(((in @ X1077 @ X1076)=>~(in @ X1077 @ (setminus @ X1075 @ X1076))))=>(![X1078:$i, X1079:$i]:((subset @ (setminus @ X1078 @ X1079) @ X1078))=>(![X1080:$i, X1081:$i]:((((setminus @ X1080 @ X1081)=(emptyset))=>(subset @ X1080 @ X1081)))=>(![X1082:$i, X1083:$i, X1084:$i]:(((in @ X1084 @ (symdiff @ X1082 @ X1083))=>![X1085:$o]:((((in @ X1084 @ X1082)=>(~(in @ X1084 @ X1083)=>(X1085)))=>((~(in @ X1084 @ X1082)=>((in @ X1084 @ X1083)=>(X1085)))=>(X1085))))))=>(![X1086:$i, X1087:$i, X1088:$i]:(((in @ X1088 @ X1086)=>(~(in @ X1088 @ X1087)=>(in @ X1088 @ (symdiff @ X1086 @ X1087)))))=>(![X1089:$i, X1090:$i, X1091:$i]:((~(in @ X1091 @ X1089)=>((in @ X1091 @ X1090)=>(in @ X1091 @ (symdiff @ X1089 @ X1090)))))=>(![X1092:$i, X1093:$i, X1094:$i]:(((in @ X1094 @ X1092)=>((in @ X1094 @ X1093)=>~(in @ X1094 @ (symdiff @ X1092 @ X1093)))))=>(![X1095:$i, X1096:$i, X1097:$i]:((~(in @ X1097 @ X1095)=>(~(in @ X1097 @ X1096)=>~(in @ X1097 @ (symdiff @ X1095 @ X1096)))))=>(![X1098:$i, X1099:$i]:((in @ X1099 @ (setadjoin @ X1098 @ (setadjoin @ X1099 @ emptyset))))=>(![X1100:$i, X1101:$i]:((in @ X1100 @ (setunion @ (setadjoin @ (setadjoin @ X1100 @ emptyset) @ (setadjoin @ (setadjoin @ X1100 @ (setadjoin @ X1101 @ emptyset)) @ emptyset)))))=>(![X1102:$i, X1103:$i]:((in @ X1103 @ (setunion @ (setadjoin @ (setadjoin @ X1102 @ emptyset) @ (setadjoin @ (setadjoin @ X1102 @ (setadjoin @ X1103 @ emptyset)) @ emptyset)))))=>(![X1104:$i, X1105:$i]:((iskpair @ (setadjoin @ (setadjoin @ X1104 @ emptyset) @ (setadjoin @ (setadjoin @ X1104 @ (setadjoin @ X1105 @ emptyset)) @ emptyset))))=>(![X1106:$i, X1107:$i]:((iskpair @ (kpair @ X1106 @ X1107)))=>(![X1108:$i, X1109:$i]:(((in @ X1109 @ X1108)=>(subset @ (setadjoin @ X1109 @ emptyset) @ X1108)))=>(![X1110:$i, X1111:$i]:(((in @ X1111 @ X1110)=>(in @ (setadjoin @ X1111 @ emptyset) @ (powerset @ X1110))))=>(![X1112:$i, X1113:$i, X1114:$i]:(((in @ X1114 @ X1112)=>(in @ (setadjoin @ X1114 @ emptyset) @ (powerset @ (binunion @ X1112 @ X1113)))))=>(![X1115:$i, X1116:$i, X1117:$i]:(((in @ X1117 @ (setadjoin @ X1115 @ (setadjoin @ X1116 @ emptyset)))=>(((X1117)=(X1115))|((X1117)=(X1116)))))=>(![X1118:$i, X1119:$i, X1120:$i]:(((in @ X1120 @ X1118)=>![X1121:$i]:(((in @ X1121 @ X1119)=>(subset @ (setadjoin @ X1120 @ (setadjoin @ X1121 @ emptyset)) @ (binunion @ X1118 @ X1119))))))=>(![X1122:$i, X1123:$i, X1124:$i]:(((in @ X1124 @ X1122)=>![X1125:$i]:(((in @ X1125 @ X1123)=>(in @ (setadjoin @ X1124 @ (setadjoin @ X1125 @ emptyset)) @ (powerset @ (binunion @ X1122 @ X1123)))))))=>(![X1126:$i, X1127:$i, X1128:$i]:(((in @ X1128 @ X1126)=>![X1129:$i]:(((in @ X1129 @ X1127)=>(subset @ (setadjoin @ (setadjoin @ X1128 @ emptyset) @ (setadjoin @ (setadjoin @ X1128 @ (setadjoin @ X1129 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1126 @ X1127)))))))=>(![X1130:$i, X1131:$i, X1132:$i]:(((in @ X1132 @ X1130)=>![X1133:$i]:(((in @ X1133 @ X1131)=>(in @ (setadjoin @ (setadjoin @ X1132 @ emptyset) @ (setadjoin @ (setadjoin @ X1132 @ (setadjoin @ X1133 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1130 @ X1131))))))))=>(![X1134:$i, X1135:$i, X1136:$i]:(((in @ X1136 @ X1134)=>![X1137:$i]:(((in @ X1137 @ X1135)=>(in @ (kpair @ X1136 @ X1137) @ (powerset @ (powerset @ (binunion @ X1134 @ X1135))))))))=>(![X1138:$i, X1139:$i, X1140:$i]:(((in @ X1140 @ X1138)=>![X1141:$i]:(((in @ X1141 @ X1139)=>(in @ (kpair @ X1140 @ X1141) @ (cartprod @ X1138 @ X1139))))))=>(![X1142:$i, X1143:$i, X1144:$i]:(((in @ X1144 @ (cartprod @ X1142 @ X1143))=>?[X1145:$i]:(((in @ X1145 @ X1142)&?[X1146:$i]:(((in @ X1146 @ X1143)&((X1144)=(kpair @ X1145 @ X1146))))))))=>(![X1147:$i, X1148:$i, X1149:$i]:(((in @ X1149 @ (cartprod @ X1147 @ X1148))=>(iskpair @ X1149)))=>(![X1150:$i, X1151:$i]:(((in @ X1151 @ (setunion @ X1150))=>?[X1152:$i]:(((in @ X1152 @ X1150)&(in @ X1151 @ X1152)))))=>(![X1153:$i]:((subset @ (setunion @ (setadjoin @ X1153 @ emptyset)) @ X1153))=>(![X1154:$i]:((subset @ X1154 @ (setunion @ (setadjoin @ X1154 @ emptyset))))=>(![X1155:$i]:(((setunion @ (setadjoin @ X1155 @ emptyset))=(X1155)))=>(![X1156:$i, X1157:$i > $o]:((![X1158:$i]:(((in @ X1158 @ X1156)=>![X1159:$i]:(((in @ X1159 @ X1156)=>((X1157 @ X1158)=>((X1157 @ X1159)=>((X1158)=(X1159))))))))=>(?[X1160:$i]:(((in @ X1160 @ X1156)&(X1157 @ X1160)))=>?[X1161:$i]:(((in @ X1161 @ (dsetconstr @ X1156 @ X1157))&((dsetconstr @ X1156 @ X1157)=(setadjoin @ X1161 @ emptyset)))))))=>(![X1162:$i, X1163:$i > $o]:((?[X1164:$i]:(((in @ X1164 @ (dsetconstr @ X1162 @ X1163))&((dsetconstr @ X1162 @ X1163)=(setadjoin @ X1164 @ emptyset))))=>?[X1165:$i]:(((in @ X1165 @ X1162)&(X1163 @ X1165)))))=>(![X1166:$i, X1167:$i > $o, X1168:$i]:(((in @ X1168 @ X1166)=>((X1167 @ X1168)=>(![X1169:$i]:(((in @ X1169 @ X1166)=>((X1167 @ X1169)=>((X1169)=(X1168)))))=>?[X1170:$i]:(((in @ X1170 @ (dsetconstr @ X1166 @ X1167))&((dsetconstr @ X1166 @ X1167)=(setadjoin @ X1170 @ emptyset))))))))=>(![X1171:$i, X1172:$i > $o]:((![X1173:$i]:(((in @ X1173 @ X1171)=>![X1174:$i]:(((in @ X1174 @ X1171)=>((X1172 @ X1173)=>((X1172 @ X1174)=>((X1173)=(X1174))))))))=>(?[X1175:$i]:(((in @ X1175 @ X1171)&(X1172 @ X1175)))=>?[X1176:$i]:(((in @ X1176 @ (dsetconstr @ X1171 @ X1172))&((dsetconstr @ X1171 @ X1172)=(setadjoin @ X1176 @ emptyset)))))))=>(![X1177:$i, X1178:$i]:((((setadjoin @ X1177 @ emptyset)=(setadjoin @ X1178 @ emptyset))=>((X1177)=(X1178))))=>(![X1179:$i, X1180:$i, X1181:$i]:(((in @ (setadjoin @ X1181 @ emptyset) @ (setadjoin @ (setadjoin @ X1179 @ emptyset) @ (setadjoin @ (setadjoin @ X1179 @ (setadjoin @ X1180 @ emptyset)) @ emptyset)))=>((X1179)=(X1181))))=>(![X1182:$i]:(((iskpair @ X1182)=>?[X1183:$i]:(((in @ X1183 @ (dsetconstr @ (setunion @ X1182) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1182)))))&((dsetconstr @ (setunion @ X1182) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1182))))=(setadjoin @ X1183 @ emptyset))))))=>(![X1184:$i]:((?[X1185:$i]:(((in @ X1185 @ X1184)&((X1184)=(setadjoin @ X1185 @ emptyset))))=>(in @ (setunion @ X1184) @ X1184)))=>(![X1186:$i, X1187:$i]:(((kfst @ (kpair @ X1186 @ X1187))=(X1186)))=>(![X1188:$i, X1189:$i, X1190:$i]:(((in @ X1190 @ (cartprod @ X1188 @ X1189))=>(in @ (kfst @ X1190) @ X1188)))=>(![X1191:$i, X1192:$i, X1193:$i, X1194:$i]:((((setadjoin @ (setadjoin @ X1191 @ emptyset) @ (setadjoin @ (setadjoin @ X1191 @ (setadjoin @ X1192 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1193 @ emptyset) @ (setadjoin @ (setadjoin @ X1193 @ (setadjoin @ X1194 @ emptyset)) @ emptyset)))=>((X1191)=(X1193))))=>(![X1195:$i, X1196:$i, X1197:$i, X1198:$i]:((((kpair @ X1195 @ X1196)=(kpair @ X1197 @ X1198))=>((X1195)=(X1197))))=>(![X1199:$i, X1200:$i]:((((X1199)=(X1200))=>((setadjoin @ X1199 @ (setadjoin @ X1200 @ emptyset))=(setadjoin @ X1199 @ emptyset))))=>(![X1201:$i, X1202:$i]:((((X1201)=(X1202))=>((setadjoin @ (setadjoin @ X1201 @ emptyset) @ (setadjoin @ (setadjoin @ X1201 @ (setadjoin @ X1202 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1201 @ emptyset) @ emptyset))))=>(![X1203:$i, X1204:$i, X1205:$i, X1206:$i]:((((setadjoin @ (setadjoin @ X1203 @ emptyset) @ (setadjoin @ (setadjoin @ X1203 @ (setadjoin @ X1204 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1205 @ emptyset) @ (setadjoin @ (setadjoin @ X1205 @ (setadjoin @ X1206 @ emptyset)) @ emptyset)))=>(((X1205)=(X1206))=>((X1204)=(X1206)))))=>(![X1207:$i, X1208:$i, X1209:$i]:((((setadjoin @ X1207 @ (setadjoin @ X1208 @ emptyset))=(setadjoin @ X1209 @ emptyset))=>((X1207)=(X1208))))=>(![X1210:$i, X1211:$i, X1212:$i, X1213:$i]:((((setadjoin @ (setadjoin @ X1210 @ emptyset) @ (setadjoin @ (setadjoin @ X1210 @ (setadjoin @ X1211 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1212 @ emptyset) @ (setadjoin @ (setadjoin @ X1212 @ (setadjoin @ X1213 @ emptyset)) @ emptyset)))=>((X1211)=(X1213))))=>(![X1214:$i, X1215:$i, X1216:$i, X1217:$i]:((((kpair @ X1214 @ X1215)=(kpair @ X1216 @ X1217))=>((X1215)=(X1217))))=>(![X1218:$i]:(((iskpair @ X1218)=>?[X1219:$i]:(((in @ X1219 @ (dsetconstr @ (setunion @ X1218) @ (^[Z0:$i]:(((X1218)=(kpair @ (kfst @ X1218) @ Z0))))))&((dsetconstr @ (setunion @ X1218) @ (^[Z0:$i]:(((X1218)=(kpair @ (kfst @ X1218) @ Z0)))))=(setadjoin @ X1219 @ emptyset))))))=>(![X1220:$i, X1221:$i]:(((ksnd @ (kpair @ X1220 @ X1221))=(X1221)))=>(![X1222:$i]:(((iskpair @ X1222)=>((kpair @ (kfst @ X1222) @ (ksnd @ X1222))=(X1222))))=>(![X1223:$i, X1224:$i, X1225:$i]:(((in @ X1225 @ (cartprod @ X1223 @ X1224))=>(in @ (ksnd @ X1225) @ X1224)))=>(![X1226:$i, X1227:$i, X1228:$i, X1229:$i]:(((in @ (kpair @ X1228 @ X1229) @ (cartprod @ X1226 @ X1227))=>(in @ X1228 @ X1226)))=>(![X1230:$i, X1231:$i, X1232:$i, X1233:$i]:(((in @ (kpair @ X1232 @ X1233) @ (cartprod @ X1230 @ X1231))=>(in @ X1233 @ X1231)))=>(![X1234:$i, X1235:$i, X1236:$i]:(((in @ X1236 @ X1234)=>![X1237:$i]:(((in @ X1237 @ X1235)=>((kpair @ X1236 @ X1237)=(kpair @ X1236 @ X1237))))))=>(![X1238:$i, X1239:$i, X1240:$i]:(((in @ X1240 @ X1238)=>![X1241:$i]:(((in @ X1241 @ X1239)=>((kfst @ (kpair @ X1240 @ X1241))=(X1240))))))=>(![X1242:$i, X1243:$i, X1244:$i]:(((in @ X1244 @ X1242)=>![X1245:$i]:(((in @ X1245 @ X1243)=>((ksnd @ (kpair @ X1244 @ X1245))=(X1245))))))=>(![X1246:$i, X1247:$i, X1248:$i]:(((in @ X1248 @ (cartprod @ X1246 @ X1247))=>((kpair @ (kfst @ X1248) @ (ksnd @ X1248))=(X1248))))=>(![X1249:$i, X1250:$i, X1251:$i > $i > $o, X1252:$i]:(((in @ X1252 @ X1249)=>![X1253:$i]:(((in @ X1253 @ X1250)=>((X1251 @ X1252 @ X1253)=>(in @ (kpair @ X1252 @ X1253) @ (dpsetconstr @ X1249 @ X1250 @ X1251)))))))=>(![X1254:$i, X1255:$i, X1256:$i > $i > $o]:((subset @ (dpsetconstr @ X1254 @ X1255 @ X1256) @ (cartprod @ X1254 @ X1255)))=>(![X1257:$i, X1258:$i, X1259:$i > $i > $o]:((subset @ (dpsetconstr @ X1257 @ X1258 @ X1259) @ (cartprod @ X1257 @ X1258)))=>(![X1260:$i, X1261:$i, X1262:$i > $i > $o, X1263:$i]:(((in @ X1263 @ X1260)=>![X1264:$i]:(((in @ X1264 @ X1261)=>((in @ (kpair @ X1263 @ X1264) @ (dpsetconstr @ X1260 @ X1261 @ X1262))=>(X1262 @ X1263 @ X1264))))))=>(![X1265:$i, X1266:$i, X1267:$i > $i > $o, X1268:$i, X1269:$i]:(((in @ (kpair @ X1268 @ X1269) @ (dpsetconstr @ X1265 @ X1266 @ X1267))=>(in @ X1268 @ X1265)))=>(![X1270:$i, X1271:$i, X1272:$i > $i > $o, X1273:$i, X1274:$i]:(((in @ (kpair @ X1273 @ X1274) @ (dpsetconstr @ X1270 @ X1271 @ X1272))=>(in @ X1274 @ X1271)))=>(![X1275:$i, X1276:$i, X1277:$i > $i > $o, X1278:$i, X1279:$i]:(((in @ (kpair @ X1278 @ X1279) @ (dpsetconstr @ X1275 @ X1276 @ X1277))=>(X1277 @ X1278 @ X1279)))=>(![X1280:$i, X1281:$i, X1282:$i]:((((subset @ X1282 @ (cartprod @ X1280 @ X1281))&![X1283:$i]:(((in @ X1283 @ X1280)=>?[X1284:$i]:(((in @ X1284 @ (dsetconstr @ X1281 @ (^[Z0:$i]:((in @ (kpair @ X1283 @ Z0) @ X1282)))))&((dsetconstr @ X1281 @ (^[Z0:$i]:((in @ (kpair @ X1283 @ Z0) @ X1282))))=(setadjoin @ X1284 @ emptyset)))))))=>![X1285:$i]:(((in @ X1285 @ X1280)=>?[X1286:$i]:(((in @ X1286 @ (dsetconstr @ X1281 @ (^[Z0:$i]:((in @ (kpair @ X1285 @ Z0) @ X1282)))))&((dsetconstr @ X1281 @ (^[Z0:$i]:((in @ (kpair @ X1285 @ Z0) @ X1282))))=(setadjoin @ X1286 @ emptyset))))))))=>(![X1287:$i, X1288:$i, X1289:$i]:((((subset @ X1289 @ (cartprod @ X1287 @ X1288))&![X1290:$i]:(((in @ X1290 @ X1287)=>?[X1291:$i]:(((in @ X1291 @ (dsetconstr @ X1288 @ (^[Z0:$i]:((in @ (kpair @ X1290 @ Z0) @ X1289)))))&((dsetconstr @ X1288 @ (^[Z0:$i]:((in @ (kpair @ X1290 @ Z0) @ X1289))))=(setadjoin @ X1291 @ emptyset)))))))=>![X1292:$i]:(((in @ X1292 @ X1287)=>(in @ (setunion @ (dsetconstr @ X1288 @ (^[Z0:$i]:((in @ (kpair @ X1292 @ Z0) @ X1289))))) @ X1288)))))=>(![X1293:$i, X1294:$i, X1295:$i]:((((subset @ X1295 @ (cartprod @ X1293 @ X1294))&![X1296:$i]:(((in @ X1296 @ X1293)=>?[X1297:$i]:(((in @ X1297 @ (dsetconstr @ X1294 @ (^[Z0:$i]:((in @ (kpair @ X1296 @ Z0) @ X1295)))))&((dsetconstr @ X1294 @ (^[Z0:$i]:((in @ (kpair @ X1296 @ Z0) @ X1295))))=(setadjoin @ X1297 @ emptyset)))))))=>![X1298:$i]:(((in @ X1298 @ X1293)=>(in @ (ap @ X1293 @ X1294 @ X1295 @ X1298) @ X1294)))))=>(![X1299:$i, X1300:$i, X1301:$i]:(((in @ X1301 @ (funcSet @ X1299 @ X1300))=>((subset @ X1301 @ (cartprod @ X1299 @ X1300))&![X1302:$i]:(((in @ X1302 @ X1299)=>?[X1303:$i]:(((in @ X1303 @ (dsetconstr @ X1300 @ (^[Z0:$i]:((in @ (kpair @ X1302 @ Z0) @ X1301)))))&((dsetconstr @ X1300 @ (^[Z0:$i]:((in @ (kpair @ X1302 @ Z0) @ X1301))))=(setadjoin @ X1303 @ emptyset)))))))))=>(![X1304:$i, X1305:$i, X1306:$i]:(((in @ X1306 @ (funcSet @ X1304 @ X1305))=>![X1307:$i]:(((in @ X1307 @ X1304)=>(in @ (ap @ X1304 @ X1305 @ X1306 @ X1307) @ X1305)))))=>(![X1308:$i, X1309:$i, X1310:$i]:((((subset @ X1310 @ (cartprod @ X1308 @ X1309))&![X1311:$i]:(((in @ X1311 @ X1308)=>?[X1312:$i]:(((in @ X1312 @ (dsetconstr @ X1309 @ (^[Z0:$i]:((in @ (kpair @ X1311 @ Z0) @ X1310)))))&((dsetconstr @ X1309 @ (^[Z0:$i]:((in @ (kpair @ X1311 @ Z0) @ X1310))))=(setadjoin @ X1312 @ emptyset)))))))=>(in @ X1310 @ (funcSet @ X1308 @ X1309))))=>(![X1313:$i, X1314:$i, X1315:$i > $i]:((![X1316:$i]:(((in @ X1316 @ X1313)=>(in @ (X1315 @ X1316) @ X1314)))=>((subset @ (dpsetconstr @ X1313 @ X1314 @ (^[Z0:$i]:($eq @ (X1315 @ Z0)))) @ (cartprod @ X1313 @ X1314))&![X1317:$i]:(((in @ X1317 @ X1313)=>?[X1318:$i]:(((in @ X1318 @ (dsetconstr @ X1314 @ (^[Z0:$i]:((in @ (kpair @ X1317 @ Z0) @ (dpsetconstr @ X1313 @ X1314 @ (^[Z1:$i]:($eq @ (X1315 @ Z1)))))))))&((dsetconstr @ X1314 @ (^[Z0:$i]:((in @ (kpair @ X1317 @ Z0) @ (dpsetconstr @ X1313 @ X1314 @ (^[Z1:$i]:($eq @ (X1315 @ Z1))))))))=(setadjoin @ X1318 @ emptyset)))))))))=>(![X1319:$i, X1320:$i, X1321:$i > $i]:((![X1322:$i]:(((in @ X1322 @ X1319)=>(in @ (X1321 @ X1322) @ X1320)))=>((subset @ (dpsetconstr @ X1319 @ X1320 @ (^[Z0:$i]:($eq @ (X1321 @ Z0)))) @ (cartprod @ X1319 @ X1320))&![X1323:$i]:(((in @ X1323 @ X1319)=>?[X1324:$i]:(((in @ X1324 @ (dsetconstr @ X1320 @ (^[Z0:$i]:((in @ (kpair @ X1323 @ Z0) @ (dpsetconstr @ X1319 @ X1320 @ (^[Z1:$i]:($eq @ (X1321 @ Z1)))))))))&((dsetconstr @ X1320 @ (^[Z0:$i]:((in @ (kpair @ X1323 @ Z0) @ (dpsetconstr @ X1319 @ X1320 @ (^[Z1:$i]:($eq @ (X1321 @ Z1))))))))=(setadjoin @ X1324 @ emptyset)))))))))=>(![X1325:$i, X1326:$i, X1327:$i > $i]:((![X1328:$i]:(((in @ X1328 @ X1325)=>(in @ (X1327 @ X1328) @ X1326)))=>(in @ (dpsetconstr @ X1325 @ X1326 @ (^[Z0:$i]:($eq @ (X1327 @ Z0)))) @ (funcSet @ X1325 @ X1326))))=>(![X1329:$i, X1330:$i, X1331:$i]:(((subset @ X1331 @ (cartprod @ X1329 @ X1330))=>![X1332:$i > $o]:((![X1333:$i]:(((in @ X1333 @ X1329)=>![X1334:$i]:(((in @ X1334 @ X1330)=>((in @ (kpair @ X1333 @ X1334) @ X1331)=>(X1332 @ (kpair @ X1333 @ X1334)))))))=>![X1335:$i]:(((in @ X1335 @ X1331)=>(X1332 @ X1335)))))))=>(![X1336:$i, X1337:$i, X1338:$i]:(((subset @ X1338 @ (cartprod @ X1336 @ X1337))=>![X1339:$i > $o]:((![X1340:$i]:(((in @ X1340 @ X1336)=>![X1341:$i]:(((in @ X1341 @ X1337)=>((in @ (kpair @ X1340 @ X1341) @ X1338)=>(X1339 @ (kpair @ X1340 @ X1341)))))))=>![X1342:$i]:(((in @ X1342 @ X1338)=>(X1339 @ X1342)))))))=>(![X1343:$i, X1344:$i > $o]:((?[X1345:$i]:(((in @ X1345 @ (dsetconstr @ X1343 @ X1344))&((dsetconstr @ X1343 @ X1344)=(setadjoin @ X1345 @ emptyset))))=>![X1346:$i]:(((in @ X1346 @ X1343)=>![X1347:$i]:(((in @ X1347 @ X1343)=>((X1344 @ X1346)=>((X1344 @ X1347)=>((X1346)=(X1347))))))))))=>(![X1348:$i, X1349:$i, X1350:$i]:((((subset @ X1350 @ (cartprod @ X1348 @ X1349))&![X1351:$i]:(((in @ X1351 @ X1348)=>?[X1352:$i]:(((in @ X1352 @ (dsetconstr @ X1349 @ (^[Z0:$i]:((in @ (kpair @ X1351 @ Z0) @ X1350)))))&((dsetconstr @ X1349 @ (^[Z0:$i]:((in @ (kpair @ X1351 @ Z0) @ X1350))))=(setadjoin @ X1352 @ emptyset)))))))=>![X1353:$i]:(((in @ X1353 @ X1348)=>(in @ (kpair @ X1353 @ (ap @ X1348 @ X1349 @ X1350 @ X1353)) @ X1350)))))=>(![X1354:$i, X1355:$i, X1356:$i]:(((in @ X1356 @ (funcSet @ X1354 @ X1355))=>![X1357:$i]:(((in @ X1357 @ X1354)=>(in @ (kpair @ X1357 @ (ap @ X1354 @ X1355 @ X1356 @ X1357)) @ X1356)))))=>(![X1358:$i, X1359:$i, X1360:$i]:((((subset @ X1360 @ (cartprod @ X1358 @ X1359))&![X1361:$i]:(((in @ X1361 @ X1358)=>?[X1362:$i]:(((in @ X1362 @ (dsetconstr @ X1359 @ (^[Z0:$i]:((in @ (kpair @ X1361 @ Z0) @ X1360)))))&((dsetconstr @ X1359 @ (^[Z0:$i]:((in @ (kpair @ X1361 @ Z0) @ X1360))))=(setadjoin @ X1362 @ emptyset)))))))=>![X1363:$i]:(((in @ X1363 @ X1358)=>![X1364:$i]:(((in @ X1364 @ X1359)=>((in @ (kpair @ X1363 @ X1364) @ X1360)=>((ap @ X1358 @ X1359 @ X1360 @ X1363)=(X1364)))))))))=>(![X1365:$i, X1366:$i, X1367:$i]:((((subset @ X1367 @ (cartprod @ X1365 @ X1366))&![X1368:$i]:(((in @ X1368 @ X1365)=>?[X1369:$i]:(((in @ X1369 @ (dsetconstr @ X1366 @ (^[Z0:$i]:((in @ (kpair @ X1368 @ Z0) @ X1367)))))&((dsetconstr @ X1366 @ (^[Z0:$i]:((in @ (kpair @ X1368 @ Z0) @ X1367))))=(setadjoin @ X1369 @ emptyset)))))))=>![X1370:$i]:((((subset @ X1370 @ (cartprod @ X1365 @ X1366))&![X1371:$i]:(((in @ X1371 @ X1365)=>?[X1372:$i]:(((in @ X1372 @ (dsetconstr @ X1366 @ (^[Z0:$i]:((in @ (kpair @ X1371 @ Z0) @ X1370)))))&((dsetconstr @ X1366 @ (^[Z0:$i]:((in @ (kpair @ X1371 @ Z0) @ X1370))))=(setadjoin @ X1372 @ emptyset)))))))=>(![X1373:$i]:(((in @ X1373 @ X1365)=>((ap @ X1365 @ X1366 @ X1367 @ X1373)=(ap @ X1365 @ X1366 @ X1370 @ X1373))))=>![X1374:$i]:(((in @ X1374 @ X1365)=>![X1375:$i]:(((in @ X1375 @ X1366)=>((in @ (kpair @ X1374 @ X1375) @ X1370)=>(in @ (kpair @ X1374 @ X1375) @ X1367)))))))))))=>(![X1376:$i, X1377:$i, X1378:$i]:(((in @ X1378 @ (funcSet @ X1376 @ X1377))=>![X1379:$i]:(((in @ X1379 @ X1376)=>![X1380:$i]:(((in @ X1380 @ X1377)=>((in @ (kpair @ X1379 @ X1380) @ X1378)=>((ap @ X1376 @ X1377 @ X1378 @ X1379)=(X1380)))))))))=>(![X1381:$i, X1382:$i, X1383:$i]:(((subset @ X1383 @ (cartprod @ X1381 @ X1382))=>![X1384:$i]:(((subset @ X1384 @ (cartprod @ X1381 @ X1382))=>(![X1385:$i]:(((in @ X1385 @ X1381)=>![X1386:$i]:(((in @ X1386 @ X1382)=>((in @ (kpair @ X1385 @ X1386) @ X1383)=>(in @ (kpair @ X1385 @ X1386) @ X1384))))))=>(subset @ X1383 @ X1384))))))=>![X4:$i, X5:$i, X29:$i]:(((subset @ X29 @ (cartprod @ X4 @ X5))=>![X36:$i]:(((subset @ X36 @ (cartprod @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(in @ (kpair @ X2 @ X3) @ X36))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X36)=>(in @ (kpair @ X2 @ X3) @ X29))))))=>((X29)=(X36))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_248, cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), c_0_249]), cartprodsndpairEq]), upairsetIR]), cartprodpairsurjEq]), upairsetIL]), c_0_250]), upairsetE]), c_0_251]), vacuousDall]), c_0_252]), c_0_253]), c_0_254]), c_0_255]), c_0_256]), c_0_257]), c_0_258]), c_0_259]), c_0_260]), ap2p]), c_0_261]), c_0_262]), c_0_263]), c_0_264]), notdallE]), c_0_265]), notdexE]), c_0_266]), prop2setI]), c_0_267]), quantDeMorgan4]), c_0_268]), quantDeMorgan3]), funcGraphProp3]), quantDeMorgan2]), c_0_269]), quantDeMorgan1]), c_0_270]), c_0_271]), funcGraphProp4]), c_0_272]), c_0_216]), emptyset__Cong]), c_0_273]), c_0_274]), in__Cong]), inCongP]), c_0_275]), c_0_276]), setadjoin__Cong]), binintersectEL]), binintersectSubset5]), subsetI1]), c_0_277]), c_0_278]), c_0_279]), omega__Cong]), setunion__Cong]), powerset__Cong]), eqimpsubset2]), notequalI1]), notsubsetI]), subsetE2]), subsetE]), emptysetsubset]), subsetI2]), eqimpsubset1]), notequalI2]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub2]), setadjoinSub]), subsetTrans]), subsetRefl]), powersetI1]), upairset2IR]), binunionIL]), c_0_280]), c_0_281]), powersetsubset]), inPowerset]), powersetE1]), binunionIR]), binintersectI]), binunionRsub]), binunionLsub]), binunionE]), binunionEcases]), binintersectLsub]), binintersectSubset1]), binintersectSubset4]), binintersectRsub]), disjointsetsI1]), binintersectER]), binintersectSubset3]), binintersectSubset2]), bs114d]), setminusILneg]), setminusELneg]), setminusERneg]), setminusSubset2]), setminusER]), setminusEL]), setminusI]), setminusIRneg]), symdiffIneg2]), symdiffIneg1]), symdiffI2]), symdiffI1]), symdiffE]), setminusSubset1]), setminusLsub]), secondinupair]), singletoninpowunion]), singletoninpowerset]), singletonsubset]), kpairp]), kpairiskpair]), setukpairIR]), setukpairIL]), upairset2E]), cartprodmempair1]), cartprodpairin]), ubforcartprodlem3]), ubforcartprodlem2]), ubforcartprodlem1]), upairinpowunion]), upairsubunion]), cartprodmempair]), c_0_282]), c_0_283]), c_0_284]), setunionsingleton]), setunionsingleton2]), setunionsingleton1]), setunionE2]), c_0_285]), setukpairinjL2]), cartprodfstin]), kfstpairEq]), c_0_286]), c_0_287]), setukpairinjL1]), singletonsuniq]), setukpairinjL]), c_0_288]), setukpairinjR]), setukpairinjR2]), upairequniteq]), setukpairinjR1]), setukpairinjR12]), setukpairinjR11]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), singletonsswitch]), eqinunit]), notinsingleton]), uniqinunit]), c_0_289]), c_0_290]), subPowSU]), setunionE]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), powersetI]), c_0_291]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), c_0_292]), c_0_293]), c_0_294]), c_0_295]), noeltsimpempty]), emptyI]), setext]), c_0_296]), notinemptyset]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_297]), c_0_298]), c_0_299]), c_0_300]), c_0_301]), wellorderingAx]), foundationAx]), c_0_302]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_303])).
% 2.30/0.65 thf(c_0_305, negated_conjecture, ![X1387:$i, X1388:$i, X1390:$i, X1391:$i, X1392:$i, X1393:$i, X1394:$i, X1395:$i, X1396:$i, X1397:$i, X1398:$i, X1400:$i, X1401:$i, X1403:$i, X1404:$i, X1405:$i, X1406:$i, X1407:$i, X1409:$i, X1410:$i > $i > $o, X1411:$i, X1413:$i, X1416:$i, X1418:$i, X1419:$i, X1420:$i, X1421:$i, X1423:$i, X1424:$i > $o, X1425:$i, X1427:$i, X1428:$i > $o, X1429:$i, X1430:$i, X1431:$i > $o, X1432:$i, X1433:$i, X1434:$i > $o, X1435:$i, X1436:$i > $o, X1437:$i, X1440:$i, X1441:$o, X1442:$i, X1443:$i, X1444:$o, X1445:$i, X1446:$i, X1447:$i > $o, X1448:$i, X1451:$i, X1452:$i, X1455:$i, X1457:$i, X1459:$i, X1460:$i > $o, X1461:$i, X1462:$i, X1464:$i, X1465:$i > $o, X1466:$i, X1467:$i, X1468:$i, X1469:$i, X1470:$i, X1471:$i, X1472:$i, X1473:$i, X1474:$i, X1475:$i, X1476:$i, X1477:$o, X1478:$i, X1479:$i, X1480:$i, X1481:$i, X1482:$i, X1483:$i, X1485:$i, X1486:$i, X1487:$i, X1488:$i, X1489:$i, X1490:$i, X1491:$i, X1492:$i, X1493:$i, X1494:$i, X1495:$o, X1497:$i, X1498:$i, X1499:$i > $o, X1500:$i, X1503:$i, X1504:$i, X1505:$i, X1507:$i, X1508:$i, X1509:$i, X1510:$i, X1511:$i, X1512:$i, X1513:$i, X1514:$i, X1515:$i, X1516:$i, X1517:$i, X1518:$i, X1519:$i, X1520:$i, X1521:$i, X1522:$i, X1523:$i > $o, X1524:$i, X1525:$i > $o, X1526:$i, X1527:$i, X1528:$i > $o, X1529:$i, X1531:$i, X1532:$i > $o, X1534:$i, X1535:$i, X1536:$i > $o, X1538:$i, X1539:$i, X1540:$i > $o, X1541:$i, X1543:$o, X1544:$i, X1545:$i > $o, X1547:$i, X1548:$i, X1549:$i > $o, X1550:$i, X1552:$i > $o, X1553:$i, X1556:$i, X1557:$i > $o, X1558:$i, X1562:$i, X1563:$i > $o, X1564:$i, X1567:$i, X1568:$i, X1569:$i, X1570:$i, X1571:$i, X1572:$i, X1573:$i, X1574:$i, X1575:$i, X1576:$i > $o, X1577:$i, X1579:$i, X1580:$i, X1581:$i > $o, X1582:$i > $o, X1585:$i, X1588:$i, X1589:$i, X1592:$i, X1593:$i, X1594:$i, X1595:$i, X1596:$i, X1597:$i, X1598:$i, X1599:$i, X1600:$i, X1601:$i > $o, X1602:$i, X1604:$i, X1605:$i, X1606:$i > $o, X1607:$i > $o, X1610:$i, X1612:$i, X1614:$i, X1615:$i, X1616:$i > $o, X1617:$i > $o, X1620:$i, X1621:$i, X1623:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i, X1630:$i, X1631:$i, X1632:$i, X1633:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1638:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$i, X1644:$i, X1645:$i, X1646:$i, X1647:$i, X1648:$i, X1649:$i, X1650:$i, X1651:$i, X1652:$i, X1653:$i, X1654:$i, X1655:$i, X1656:$i, X1657:$i, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$i, X1665:$i, X1666:$i, X1667:$i > $o, X1668:$i, X1669:$i > $o, X1670:$i, X1671:$i, X1672:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i, X1679:$i, X1680:$i, X1681:$o, X1682:$i, X1683:$i, X1684:$i, X1685:$i, X1686:$i, X1687:$i, X1688:$i, X1689:$i, X1690:$i, X1691:$i, X1692:$i, X1693:$i, X1694:$i, X1695:$i, X1696:$i, X1697:$i, X1698:$i, X1699:$i, X1700:$i, X1701:$i, X1702:$i, X1703:$i, X1704:$i, X1705:$i, X1706:$i, X1707:$i, X1708:$i, X1710:$i, X1711:$i, X1712:$i, X1713:$i, X1714:$i, X1715:$i, X1716:$i, X1717:$i, X1718:$i, X1719:$i, X1720:$i, X1721:$i, X1722:$i, X1723:$i, X1724:$i, X1725:$i, X1726:$i, X1727:$i, X1728:$i, X1729:$i, X1730:$i, X1731:$i, X1732:$i, X1733:$i, X1734:$i, X1735:$i, X1736:$i, X1737:$i, X1738:$i, X1739:$i, X1740:$i, X1741:$i, X1742:$i, X1743:$i, X1744:$i, X1745:$i, X1746:$i, X1747:$i, X1748:$i, X1749:$o, X1750:$i, X1751:$i, X1752:$i, X1753:$i, X1754:$i, X1755:$i, X1756:$i, X1757:$i, X1758:$i, X1759:$i, X1760:$i, X1761:$i, X1762:$i, X1763:$i, X1764:$i, X1765:$i, X1766:$i, X1767:$i, X1768:$i, X1769:$i, X1770:$i, X1771:$i, X1772:$i, X1773:$i, X1774:$i, X1775:$i, X1776:$i, X1777:$i, X1778:$i, X1779:$i, X1780:$i, X1781:$i, X1782:$i, X1783:$i, X1784:$i, X1785:$i, X1786:$i, X1787:$i, X1788:$i, X1789:$i, X1790:$i, X1791:$i, X1792:$i, X1793:$i, X1794:$i, X1795:$i, X1796:$i, X1797:$i, X1798:$i, X1799:$i, X1800:$i, X1801:$i, X1802:$i, X1803:$i, X1804:$i, X1805:$i, X1806:$i, X1807:$i, X1808:$i, X1811:$i, X1812:$i, X1813:$i, X1814:$i, X1815:$i, X1817:$i, X1818:$i, X1819:$i, X1820:$i, X1821:$i > $o, X1824:$i, X1826:$i, X1827:$i > $o, X1828:$i, X1830:$i, X1831:$i > $o, X1832:$i, X1835:$i, X1836:$i > $o, X1839:$i, X1841:$i, X1842:$i, X1843:$i, X1844:$i, X1845:$i, X1846:$i, X1848:$i, X1849:$i, X1850:$i, X1851:$i, X1852:$i, X1853:$i, X1854:$i, X1855:$i, X1856:$i, X1857:$i, X1858:$i, X1859:$i, X1860:$i, X1861:$i, X1862:$i, X1863:$i, X1864:$i, X1865:$i, X1866:$i, X1867:$i, X1868:$i, X1869:$i, X1870:$i, X1871:$i, X1872:$i, X1873:$i, X1874:$i, X1875:$i, X1876:$i, X1877:$i, X1878:$i, X1879:$i, X1880:$i, X1881:$i, X1882:$i, X1884:$i, X1885:$i, X1886:$i, X1887:$i, X1888:$i, X1889:$i, X1890:$i, X1891:$i, X1892:$i, X1893:$i, X1894:$i, X1895:$i, X1896:$i, X1897:$i, X1898:$i, X1899:$i, X1900:$i, X1901:$i, X1902:$i, X1903:$i, X1904:$i, X1905:$i, X1906:$i, X1907:$i, X1908:$i, X1909:$i, X1910:$i, X1911:$i, X1912:$i, X1913:$i, X1914:$i, X1915:$i > $i > $o, X1916:$i, X1917:$i, X1918:$i, X1919:$i, X1920:$i > $i > $o, X1921:$i, X1922:$i, X1923:$i > $i > $o, X1924:$i, X1925:$i, X1926:$i > $i > $o, X1927:$i, X1928:$i, X1929:$i, X1930:$i, X1931:$i > $i > $o, X1932:$i, X1933:$i, X1934:$i, X1935:$i, X1936:$i > $i > $o, X1937:$i, X1938:$i, X1939:$i, X1940:$i, X1941:$i > $i > $o, X1942:$i, X1943:$i, X1944:$i, X1945:$i, X1946:$i, X1948:$i, X1949:$i, X1951:$i, X1952:$i, X1953:$i, X1955:$i, X1956:$i, X1957:$i, X1958:$i, X1959:$i, X1961:$i, X1962:$i, X1963:$i, X1964:$i, X1965:$i, X1966:$i, X1968:$i, X1969:$i, X1970:$i, X1971:$i, X1972:$i, X1973:$i, X1974:$i, X1976:$i, X1977:$i, X1978:$i, X1979:$i > $i, X1981:$i, X1983:$i, X1984:$i, X1985:$i > $i, X1987:$i, X1989:$i, X1990:$i, X1991:$i > $i, X1993:$i, X1994:$i, X1995:$i, X1996:$i > $o, X1999:$i, X2000:$i, X2001:$i, X2002:$i, X2003:$i > $o, X2006:$i, X2007:$i, X2008:$i > $o, X2009:$i, X2010:$i, X2011:$i, X2012:$i, X2013:$i, X2014:$i, X2016:$i, X2017:$i, X2018:$i, X2019:$i, X2020:$i, X2021:$i, X2022:$i, X2023:$i, X2024:$i, X2026:$i, X2027:$i, X2028:$i, X2029:$i, X2030:$i, X2031:$i, X2033:$i, X2034:$i, X2036:$i, X2038:$i, X2039:$i, X2040:$i, X2041:$i, X2042:$i, X2043:$i, X2044:$i, X2045:$i, X2046:$i, X2047:$i, X2048:$i, X2055:$i, X2056:$i, X2057:$i, X2058:$i]:((((~(in @ (esk1_2 @ X1387 @ X1388) @ X1387)|~(in @ (esk1_2 @ X1387 @ X1388) @ X1388)|((X1387)=(X1388)))&((in @ (esk1_2 @ X1387 @ X1388) @ X1387)|(in @ (esk1_2 @ X1387 @ X1388) @ X1388)|((X1387)=(X1388))))&(~(in @ X1390 @ emptyset)&(((~(in @ X1393 @ (setadjoin @ X1391 @ X1392))|(((X1393)=(X1391))|(in @ X1393 @ X1392)))&((((X1393)!=(X1391))|(in @ X1393 @ (setadjoin @ X1391 @ X1392)))&(~(in @ X1393 @ X1392)|(in @ X1393 @ (setadjoin @ X1391 @ X1392)))))&(((~(in @ X1395 @ (powerset @ X1394))|(~(in @ X1396 @ X1395)|(in @ X1396 @ X1394)))&(((in @ (esk2_2 @ X1397 @ X1398) @ X1398)|(in @ X1398 @ (powerset @ X1397)))&(~(in @ (esk2_2 @ X1397 @ X1398) @ X1397)|(in @ X1398 @ (powerset @ X1397)))))&(((((in @ X1401 @ (esk3_2 @ X1400 @ X1401))|~(in @ X1401 @ (setunion @ X1400)))&((in @ (esk3_2 @ X1400 @ X1401) @ X1400)|~(in @ X1401 @ (setunion @ X1400))))&(~(in @ X1404 @ X1405)|~(in @ X1405 @ X1403)|(in @ X1404 @ (setunion @ X1403))))&((in @ emptyset @ omega)&((~(in @ X1406 @ omega)|(in @ (setadjoin @ X1406 @ X1406) @ omega))&(((((in @ (esk4_1 @ X1407) @ omega)|~(in @ emptyset @ X1407)|(~(in @ X1409 @ omega)|(in @ X1409 @ X1407)))&((in @ (esk4_1 @ X1407) @ X1407)|~(in @ emptyset @ X1407)|(~(in @ X1409 @ omega)|(in @ X1409 @ X1407))))&(~(in @ (setadjoin @ (esk4_1 @ X1407) @ (esk4_1 @ X1407)) @ X1407)|~(in @ emptyset @ X1407)|(~(in @ X1409 @ omega)|(in @ X1409 @ X1407))))&((((((in @ (esk8_3 @ X1410 @ X1411 @ X1416) @ X1411)|~(in @ X1416 @ (esk7_2 @ X1410 @ X1411))|(in @ (esk5_2 @ X1410 @ X1411) @ X1411))&((X1410 @ (esk8_3 @ X1410 @ X1411 @ X1416) @ X1416)|~(in @ X1416 @ (esk7_2 @ X1410 @ X1411))|(in @ (esk5_2 @ X1410 @ X1411) @ X1411)))&(~(in @ X1419 @ X1411)|~(X1410 @ X1419 @ X1418)|(in @ X1418 @ (esk7_2 @ X1410 @ X1411))|(in @ (esk5_2 @ X1410 @ X1411) @ X1411)))&(((((in @ (esk8_3 @ X1410 @ X1411 @ X1416) @ X1411)|~(in @ X1416 @ (esk7_2 @ X1410 @ X1411))|((X1410 @ (esk5_2 @ X1410 @ X1411) @ (esk6_3 @ X1410 @ X1411 @ X1413))|~(X1410 @ (esk5_2 @ X1410 @ X1411) @ X1413)))&((X1410 @ (esk8_3 @ X1410 @ X1411 @ X1416) @ X1416)|~(in @ X1416 @ (esk7_2 @ X1410 @ X1411))|((X1410 @ (esk5_2 @ X1410 @ X1411) @ (esk6_3 @ X1410 @ X1411 @ X1413))|~(X1410 @ (esk5_2 @ X1410 @ X1411) @ X1413))))&(~(in @ X1419 @ X1411)|~(X1410 @ X1419 @ X1418)|(in @ X1418 @ (esk7_2 @ X1410 @ X1411))|((X1410 @ (esk5_2 @ X1410 @ X1411) @ (esk6_3 @ X1410 @ X1411 @ X1413))|~(X1410 @ (esk5_2 @ X1410 @ X1411) @ X1413))))&((((in @ (esk8_3 @ X1410 @ X1411 @ X1416) @ X1411)|~(in @ X1416 @ (esk7_2 @ X1410 @ X1411))|(((X1413)!=(esk6_3 @ X1410 @ X1411 @ X1413))|~(X1410 @ (esk5_2 @ X1410 @ X1411) @ X1413)))&((X1410 @ (esk8_3 @ X1410 @ X1411 @ X1416) @ X1416)|~(in @ X1416 @ (esk7_2 @ X1410 @ X1411))|(((X1413)!=(esk6_3 @ X1410 @ X1411 @ X1413))|~(X1410 @ (esk5_2 @ X1410 @ X1411) @ X1413))))&(~(in @ X1419 @ X1411)|~(X1410 @ X1419 @ X1418)|(in @ X1418 @ (esk7_2 @ X1410 @ X1411))|(((X1413)!=(esk6_3 @ X1410 @ X1411 @ X1413))|~(X1410 @ (esk5_2 @ X1410 @ X1411) @ X1413))))))&((((in @ (esk9_1 @ X1420) @ X1420)|~(in @ X1421 @ X1420))&(~(in @ X1423 @ (esk9_1 @ X1420))|~(in @ X1423 @ X1420)|~(in @ X1421 @ X1420)))&((epred1_0)&((((X1424 @ (esk10_2 @ X1424 @ X1425))|~(X1424 @ X1425)|(X1424 @ (descr @ X1424)))&(((X1425)!=(esk10_2 @ X1424 @ X1425))|~(X1424 @ X1425)|(X1424 @ (descr @ X1424))))&((~(in @ X1429 @ X1427)|(~(X1428 @ X1429)|(in @ X1429 @ (dsetconstr @ X1427 @ X1428))))&((~(in @ X1432 @ (dsetconstr @ X1430 @ X1431))|(in @ X1432 @ X1430))&((~(in @ X1435 @ (dsetconstr @ X1433 @ X1434))|(X1434 @ X1435))&(((((X1436 @ (esk12_1 @ X1436))|((X1436 @ (esk11_2 @ X1436 @ X1437))|~(X1436 @ X1437)))&(~(X1436 @ X1440)|((esk12_1 @ X1436)=(X1440))|((X1436 @ (esk11_2 @ X1436 @ X1437))|~(X1436 @ X1437))))&(((X1436 @ (esk12_1 @ X1436))|(((X1437)!=(esk11_2 @ X1436 @ X1437))|~(X1436 @ X1437)))&(~(X1436 @ X1440)|((esk12_1 @ X1436)=(X1440))|(((X1437)!=(esk11_2 @ X1436 @ X1437))|~(X1436 @ X1437)))))&((~(in @ X1442 @ (prop2set @ ((X1441))))|(X1441))&((~(in @ X1443 @ emptyset)|(X1444))&((~(in @ X1445 @ emptyset)|~($true))&(~(in @ X1446 @ emptyset)&((((X1447 @ (esk13_2 @ X1447 @ X1448))|~(X1447 @ X1448)|(X1447 @ (esk14_1 @ X1447)))&(((X1448)!=(esk13_2 @ X1447 @ X1448))|~(X1447 @ X1448)|(X1447 @ (esk14_1 @ X1447))))&(((((in @ (esk16_2 @ X1451 @ X1452) @ X1452)|((X1451)=(X1452))|(in @ (esk15_2 @ X1451 @ X1452) @ X1451))&(~(in @ (esk16_2 @ X1451 @ X1452) @ X1451)|((X1451)=(X1452))|(in @ (esk15_2 @ X1451 @ X1452) @ X1451)))&(((in @ (esk16_2 @ X1451 @ X1452) @ X1452)|((X1451)=(X1452))|~(in @ (esk15_2 @ X1451 @ X1452) @ X1452))&(~(in @ (esk16_2 @ X1451 @ X1452) @ X1451)|((X1451)=(X1452))|~(in @ (esk15_2 @ X1451 @ X1452) @ X1452))))&(((in @ (esk17_1 @ X1455) @ X1455)|((X1455)=(emptyset)))&(((in @ (esk18_1 @ X1457) @ X1457)|((X1457)=(emptyset)))&(((~(in @ X1461 @ (dsetconstr @ X1459 @ X1460))|(X1460 @ X1461)|~(in @ X1461 @ X1459))&(~(X1460 @ X1461)|(in @ X1461 @ (dsetconstr @ X1459 @ X1460))|~(in @ X1461 @ X1459)))&((((X1462)=(emptyset))|(in @ (esk19_1 @ X1462) @ X1462))&((~(in @ X1466 @ X1464)|(~(X1465 @ X1466)|((dsetconstr @ X1464 @ X1465)!=(emptyset))))&((~(in @ X1468 @ X1467)|((X1467)!=(emptyset)))&((in @ X1469 @ (setadjoin @ X1469 @ X1470))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1473 @ X1472)|(in @ X1473 @ (setadjoin @ X1471 @ X1472)))&(((((in @ X1476 @ X1475)|(X1477)|((X1476)=(X1474))|~(in @ X1476 @ (setadjoin @ X1474 @ X1475)))&(~(X1477)|(X1477)|((X1476)=(X1474))|~(in @ X1476 @ (setadjoin @ X1474 @ X1475))))&(((in @ X1476 @ X1475)|(X1477)|~(X1477)|~(in @ X1476 @ (setadjoin @ X1474 @ X1475)))&(~(X1477)|(X1477)|~(X1477)|~(in @ X1476 @ (setadjoin @ X1474 @ X1475)))))&((~(in @ X1480 @ (setadjoin @ X1478 @ X1479))|(((X1480)=(X1478))|(in @ X1480 @ X1479)))&(((dsetconstr @ X1481 @ (^[Z0:$i]:($true)))=(X1481))&((((in @ (esk20_2 @ X1482 @ X1483) @ X1483)|(in @ X1483 @ (powerset @ X1482)))&(~(in @ (esk20_2 @ X1482 @ X1483) @ X1482)|(in @ X1483 @ (powerset @ X1482))))&((in @ emptyset @ (powerset @ X1485))&((in @ emptyset @ (powerset @ X1486))&((~(in @ X1488 @ (powerset @ X1487))|(~(in @ X1489 @ X1488)|(in @ X1489 @ X1487)))&((~(in @ X1491 @ X1492)|(~(in @ X1492 @ X1490)|(in @ X1491 @ (setunion @ X1490))))&((((in @ X1494 @ (esk21_3 @ X1493 @ X1494 @ X1495))|(X1495)|~(in @ X1494 @ (setunion @ X1493)))&(((in @ (esk21_3 @ X1493 @ X1494 @ X1495) @ X1493)|(X1495)|~(in @ X1494 @ (setunion @ X1493)))&(~(X1495)|(X1495)|~(in @ X1494 @ (setunion @ X1493)))))&((~(in @ X1498 @ X1497)|(in @ X1498 @ (powerset @ (setunion @ X1497))))&((((~(X1499 @ X1503)|((X1503)=(esk23_1 @ X1499))|((X1499 @ (esk22_2 @ X1499 @ X1500))|~(X1499 @ X1500)))&(((X1504)!=(esk23_1 @ X1499))|(X1499 @ X1504)|((X1499 @ (esk22_2 @ X1499 @ X1500))|~(X1499 @ X1500))))&((~(X1499 @ X1503)|((X1503)=(esk23_1 @ X1499))|(((X1500)!=(esk22_2 @ X1499 @ X1500))|~(X1499 @ X1500)))&(((X1504)!=(esk23_1 @ X1499))|(X1499 @ X1504)|(((X1500)!=(esk22_2 @ X1499 @ X1500))|~(X1499 @ X1500)))))&((((in @ (esk24_1 @ X1505) @ X1505)|((X1505)=(emptyset)))&(($true)|((X1505)=(emptyset))))&((~(in @ X1507 @ (setadjoin @ X1508 @ emptyset))|((X1507)=(X1508)))&((((X1509)=(X1510))|~(in @ X1510 @ (setadjoin @ X1509 @ emptyset)))&((((X1511)!=(X1512))|(in @ X1511 @ (setadjoin @ X1512 @ emptyset)))&((~(in @ X1513 @ (setadjoin @ X1514 @ emptyset))|(in @ X1514 @ (setadjoin @ X1513 @ emptyset)))&((~(in @ X1517 @ (setadjoin @ X1515 @ (setadjoin @ X1516 @ emptyset)))|(((X1517)=(X1515))|((X1517)=(X1516))))&((in @ X1518 @ (setadjoin @ X1518 @ (setadjoin @ X1519 @ emptyset)))&((in @ X1521 @ (setadjoin @ X1520 @ (setadjoin @ X1521 @ emptyset)))&((~(in @ X1524 @ X1522)|~(X1523 @ X1524)|(((dsetconstr @ X1522 @ X1523)!=(emptyset))|~($true)))&((~(in @ X1526 @ emptyset)|(X1525 @ X1526))&((((in @ (esk25_2 @ X1527 @ X1528) @ X1527)|(~(in @ X1529 @ X1527)|(X1528 @ X1529)))&(~(X1528 @ (esk25_2 @ X1527 @ X1528))|(~(in @ X1529 @ X1527)|(X1528 @ X1529))))&((((in @ (esk26_2 @ X1531 @ X1532) @ X1531)|(~(in @ X1534 @ X1531)|~(X1532 @ X1534)))&((X1532 @ (esk26_2 @ X1531 @ X1532))|(~(in @ X1534 @ X1531)|~(X1532 @ X1534))))&((((in @ (esk27_2 @ X1535 @ X1536) @ X1535)|(~(in @ X1538 @ X1535)|~(X1536 @ X1538)))&((X1536 @ (esk27_2 @ X1535 @ X1536))|(~(in @ X1538 @ X1535)|~(X1536 @ X1538))))&((((in @ (esk28_2 @ X1539 @ X1540) @ X1539)|(~(in @ X1541 @ X1539)|(X1540 @ X1541)))&(~(X1540 @ (esk28_2 @ X1539 @ X1540))|(~(in @ X1541 @ X1539)|(X1540 @ X1541))))&((~(X1543)|(in @ emptyset @ (prop2set @ ((X1543)))))&((prop2set2propI)&((((in @ (esk29_2 @ X1544 @ X1545) @ X1544)|(~(in @ X1547 @ X1544)|~(X1545 @ X1547)))&((X1545 @ (esk29_2 @ X1544 @ X1545))|(~(in @ X1547 @ X1544)|~(X1545 @ X1547))))&((((in @ (esk30_2 @ X1548 @ X1549) @ X1548)|(~(in @ X1550 @ X1548)|(X1549 @ X1550)))&(~(X1549 @ (esk30_2 @ X1548 @ X1549))|(~(in @ X1550 @ X1548)|(X1549 @ X1550))))&(((((X1552 @ (esk32_1 @ X1552))|((X1552 @ (esk31_2 @ X1552 @ X1553))|~(X1552 @ X1553)))&(~(X1552 @ X1556)|((esk32_1 @ X1552)=(X1556))|((X1552 @ (esk31_2 @ X1552 @ X1553))|~(X1552 @ X1553))))&(((X1552 @ (esk32_1 @ X1552))|(((X1553)!=(esk31_2 @ X1552 @ X1553))|~(X1552 @ X1553)))&(~(X1552 @ X1556)|((esk32_1 @ X1552)=(X1556))|(((X1553)!=(esk31_2 @ X1552 @ X1553))|~(X1552 @ X1553)))))&(((((X1557 @ (esk35_1 @ X1557))|(X1557 @ (esk33_1 @ X1557))|~(X1557 @ X1558))&(~(X1557 @ X1562)|((esk35_1 @ X1557)=(X1562))|(X1557 @ (esk33_1 @ X1557))|~(X1557 @ X1558)))&((((X1557 @ (esk35_1 @ X1557))|(X1557 @ (esk34_1 @ X1557))|~(X1557 @ X1558))&(~(X1557 @ X1562)|((esk35_1 @ X1557)=(X1562))|(X1557 @ (esk34_1 @ X1557))|~(X1557 @ X1558)))&(((X1557 @ (esk35_1 @ X1557))|((esk33_1 @ X1557)!=(esk34_1 @ X1557))|~(X1557 @ X1558))&(~(X1557 @ X1562)|((esk35_1 @ X1557)=(X1562))|((esk33_1 @ X1557)!=(esk34_1 @ X1557))|~(X1557 @ X1558)))))&(((((X1563 @ (esk37_1 @ X1563))|(~(X1563 @ (esk36_2 @ X1563 @ X1564))|((esk36_2 @ X1563 @ X1564)!=(X1564))))&(~(X1563 @ X1567)|((esk37_1 @ X1563)=(X1567))|(~(X1563 @ (esk36_2 @ X1563 @ X1564))|((esk36_2 @ X1563 @ X1564)!=(X1564)))))&(((X1563 @ (esk37_1 @ X1563))|((X1563 @ (esk36_2 @ X1563 @ X1564))|((esk36_2 @ X1563 @ X1564)=(X1564))))&(~(X1563 @ X1567)|((esk37_1 @ X1563)=(X1567))|((X1563 @ (esk36_2 @ X1563 @ X1564))|((esk36_2 @ X1563 @ X1564)=(X1564))))))&((((X1568)!=(X1569))|(((X1570)!=(X1571))|(~(in @ X1570 @ X1568)|(in @ X1571 @ X1569))))&(((~(in @ X1574 @ X1572)|(in @ X1575 @ X1573)|((X1574)!=(X1575))|((X1572)!=(X1573)))&(~(in @ X1575 @ X1573)|(in @ X1574 @ X1572)|((X1574)!=(X1575))|((X1572)!=(X1573))))&((((X1576 @ (esk38_2 @ X1576 @ X1577))|~(X1576 @ X1577)|(~(X1576 @ X1579)|(~(X1576 @ X1580)|((X1579)=(X1580)))))&(((X1577)!=(esk38_2 @ X1576 @ X1577))|~(X1576 @ X1577)|(~(X1576 @ X1579)|(~(X1576 @ X1580)|((X1579)=(X1580))))))&(((((((X1582 @ (esk42_2 @ X1581 @ X1582))|((X1581 @ (esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|((esk39_2 @ X1581 @ X1582)=(esk40_2 @ X1581 @ X1582)))&(~(X1582 @ X1588)|((esk42_2 @ X1581 @ X1582)=(X1588))|((X1581 @ (esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|((esk39_2 @ X1581 @ X1582)=(esk40_2 @ X1581 @ X1582))))&(((X1582 @ (esk42_2 @ X1581 @ X1582))|(((X1585)!=(esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|((esk39_2 @ X1581 @ X1582)=(esk40_2 @ X1581 @ X1582)))&(~(X1582 @ X1588)|((esk42_2 @ X1581 @ X1582)=(X1588))|(((X1585)!=(esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|((esk39_2 @ X1581 @ X1582)=(esk40_2 @ X1581 @ X1582)))))&((((X1581 @ (esk44_2 @ X1581 @ X1582))|((X1582 @ (esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|((esk39_2 @ X1581 @ X1582)=(esk40_2 @ X1581 @ X1582)))&(~(X1581 @ X1592)|((esk44_2 @ X1581 @ X1582)=(X1592))|((X1582 @ (esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|((esk39_2 @ X1581 @ X1582)=(esk40_2 @ X1581 @ X1582))))&(((X1581 @ (esk44_2 @ X1581 @ X1582))|(((X1589)!=(esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|((esk39_2 @ X1581 @ X1582)=(esk40_2 @ X1581 @ X1582)))&(~(X1581 @ X1592)|((esk44_2 @ X1581 @ X1582)=(X1592))|(((X1589)!=(esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|((esk39_2 @ X1581 @ X1582)=(esk40_2 @ X1581 @ X1582))))))&((((((X1582 @ (esk42_2 @ X1581 @ X1582))|((X1581 @ (esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|(~(X1581 @ (esk39_2 @ X1581 @ X1582))|~(X1582 @ (esk40_2 @ X1581 @ X1582))))&(~(X1582 @ X1588)|((esk42_2 @ X1581 @ X1582)=(X1588))|((X1581 @ (esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|(~(X1581 @ (esk39_2 @ X1581 @ X1582))|~(X1582 @ (esk40_2 @ X1581 @ X1582)))))&(((X1582 @ (esk42_2 @ X1581 @ X1582))|(((X1585)!=(esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|(~(X1581 @ (esk39_2 @ X1581 @ X1582))|~(X1582 @ (esk40_2 @ X1581 @ X1582))))&(~(X1582 @ X1588)|((esk42_2 @ X1581 @ X1582)=(X1588))|(((X1585)!=(esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|(~(X1581 @ (esk39_2 @ X1581 @ X1582))|~(X1582 @ (esk40_2 @ X1581 @ X1582))))))&((((X1581 @ (esk44_2 @ X1581 @ X1582))|((X1582 @ (esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|(~(X1581 @ (esk39_2 @ X1581 @ X1582))|~(X1582 @ (esk40_2 @ X1581 @ X1582))))&(~(X1581 @ X1592)|((esk44_2 @ X1581 @ X1582)=(X1592))|((X1582 @ (esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|(~(X1581 @ (esk39_2 @ X1581 @ X1582))|~(X1582 @ (esk40_2 @ X1581 @ X1582)))))&(((X1581 @ (esk44_2 @ X1581 @ X1582))|(((X1589)!=(esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|(~(X1581 @ (esk39_2 @ X1581 @ X1582))|~(X1582 @ (esk40_2 @ X1581 @ X1582))))&(~(X1581 @ X1592)|((esk44_2 @ X1581 @ X1582)=(X1592))|(((X1589)!=(esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|(~(X1581 @ (esk39_2 @ X1581 @ X1582))|~(X1582 @ (esk40_2 @ X1581 @ X1582)))))))&(((((X1582 @ (esk42_2 @ X1581 @ X1582))|((X1581 @ (esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|((X1581 @ (esk39_2 @ X1581 @ X1582))|(X1582 @ (esk40_2 @ X1581 @ X1582))))&(~(X1582 @ X1588)|((esk42_2 @ X1581 @ X1582)=(X1588))|((X1581 @ (esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|((X1581 @ (esk39_2 @ X1581 @ X1582))|(X1582 @ (esk40_2 @ X1581 @ X1582)))))&(((X1582 @ (esk42_2 @ X1581 @ X1582))|(((X1585)!=(esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|((X1581 @ (esk39_2 @ X1581 @ X1582))|(X1582 @ (esk40_2 @ X1581 @ X1582))))&(~(X1582 @ X1588)|((esk42_2 @ X1581 @ X1582)=(X1588))|(((X1585)!=(esk41_3 @ X1581 @ X1582 @ X1585))|~(X1581 @ X1585))|((X1581 @ (esk39_2 @ X1581 @ X1582))|(X1582 @ (esk40_2 @ X1581 @ X1582))))))&((((X1581 @ (esk44_2 @ X1581 @ X1582))|((X1582 @ (esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|((X1581 @ (esk39_2 @ X1581 @ X1582))|(X1582 @ (esk40_2 @ X1581 @ X1582))))&(~(X1581 @ X1592)|((esk44_2 @ X1581 @ X1582)=(X1592))|((X1582 @ (esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|((X1581 @ (esk39_2 @ X1581 @ X1582))|(X1582 @ (esk40_2 @ X1581 @ X1582)))))&(((X1581 @ (esk44_2 @ X1581 @ X1582))|(((X1589)!=(esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|((X1581 @ (esk39_2 @ X1581 @ X1582))|(X1582 @ (esk40_2 @ X1581 @ X1582))))&(~(X1581 @ X1592)|((esk44_2 @ X1581 @ X1582)=(X1592))|(((X1589)!=(esk43_3 @ X1581 @ X1582 @ X1589))|~(X1582 @ X1589))|((X1581 @ (esk39_2 @ X1581 @ X1582))|(X1582 @ (esk40_2 @ X1581 @ X1582)))))))))&(((emptyset)=(emptyset))&((((X1593)!=(X1594))|(((X1595)!=(X1596))|((setadjoin @ X1593 @ X1595)=(setadjoin @ X1594 @ X1596))))&((((X1597)!=(X1598))|((powerset @ X1597)=(powerset @ X1598)))&((((X1599)!=(X1600))|((setunion @ X1599)=(setunion @ X1600)))&(((omega)=(omega))&((((X1601 @ (esk45_2 @ X1601 @ X1602))|~(X1601 @ X1602)|(~(X1601 @ X1604)|(~(X1601 @ X1605)|((X1604)=(X1605)))))&(((X1602)!=(esk45_2 @ X1601 @ X1602))|~(X1601 @ X1602)|(~(X1601 @ X1604)|(~(X1601 @ X1605)|((X1604)=(X1605))))))&((((((X1607 @ (esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|((X1606 @ (esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|((esk46_2 @ X1606 @ X1607)=(esk47_2 @ X1606 @ X1607)))&(((X1612)!=(esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|((X1606 @ (esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|((esk46_2 @ X1606 @ X1607)=(esk47_2 @ X1606 @ X1607))))&(((X1607 @ (esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|(((X1610)!=(esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|((esk46_2 @ X1606 @ X1607)=(esk47_2 @ X1606 @ X1607)))&(((X1612)!=(esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|(((X1610)!=(esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|((esk46_2 @ X1606 @ X1607)=(esk47_2 @ X1606 @ X1607)))))&(((((X1607 @ (esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|((X1606 @ (esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|(~(X1606 @ (esk46_2 @ X1606 @ X1607))|~(X1607 @ (esk47_2 @ X1606 @ X1607))))&(((X1612)!=(esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|((X1606 @ (esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|(~(X1606 @ (esk46_2 @ X1606 @ X1607))|~(X1607 @ (esk47_2 @ X1606 @ X1607)))))&(((X1607 @ (esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|(((X1610)!=(esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|(~(X1606 @ (esk46_2 @ X1606 @ X1607))|~(X1607 @ (esk47_2 @ X1606 @ X1607))))&(((X1612)!=(esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|(((X1610)!=(esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|(~(X1606 @ (esk46_2 @ X1606 @ X1607))|~(X1607 @ (esk47_2 @ X1606 @ X1607))))))&((((X1607 @ (esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|((X1606 @ (esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|((X1606 @ (esk46_2 @ X1606 @ X1607))|(X1607 @ (esk47_2 @ X1606 @ X1607))))&(((X1612)!=(esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|((X1606 @ (esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|((X1606 @ (esk46_2 @ X1606 @ X1607))|(X1607 @ (esk47_2 @ X1606 @ X1607)))))&(((X1607 @ (esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|(((X1610)!=(esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|((X1606 @ (esk46_2 @ X1606 @ X1607))|(X1607 @ (esk47_2 @ X1606 @ X1607))))&(((X1612)!=(esk49_3 @ X1606 @ X1607 @ X1612))|~(X1607 @ X1612)|((descr @ X1606)=(descr @ X1607))|(((X1610)!=(esk48_3 @ X1606 @ X1607 @ X1610))|~(X1606 @ X1610))|((X1606 @ (esk46_2 @ X1606 @ X1607))|(X1607 @ (esk47_2 @ X1606 @ X1607))))))))&((((in @ (esk50_4 @ X1614 @ X1615 @ X1616 @ X1617) @ X1614)|((dsetconstr @ X1614 @ X1616)=(dsetconstr @ X1615 @ X1617))|((X1614)!=(X1615)))&(((in @ (esk51_4 @ X1614 @ X1615 @ X1616 @ X1617) @ X1615)|((dsetconstr @ X1614 @ X1616)=(dsetconstr @ X1615 @ X1617))|((X1614)!=(X1615)))&((((esk50_4 @ X1614 @ X1615 @ X1616 @ X1617)=(esk51_4 @ X1614 @ X1615 @ X1616 @ X1617))|((dsetconstr @ X1614 @ X1616)=(dsetconstr @ X1615 @ X1617))|((X1614)!=(X1615)))&((~(X1616 @ (esk50_4 @ X1614 @ X1615 @ X1616 @ X1617))|~(X1617 @ (esk51_4 @ X1614 @ X1615 @ X1616 @ X1617))|((dsetconstr @ X1614 @ X1616)=(dsetconstr @ X1615 @ X1617))|((X1614)!=(X1615)))&((X1616 @ (esk50_4 @ X1614 @ X1615 @ X1616 @ X1617))|(X1617 @ (esk51_4 @ X1614 @ X1615 @ X1616 @ X1617))|((dsetconstr @ X1614 @ X1616)=(dsetconstr @ X1615 @ X1617))|((X1614)!=(X1615)))))))&((((in @ (esk52_2 @ X1620 @ X1621) @ X1620)|(subset @ X1620 @ X1621))&(~(in @ (esk52_2 @ X1620 @ X1621) @ X1621)|(subset @ X1620 @ X1621)))&((((X1623)!=(X1624))|(subset @ X1624 @ X1623))&((((X1625)!=(X1626))|(subset @ X1625 @ X1626))&((((in @ (esk53_2 @ X1627 @ X1628) @ X1627)|(subset @ X1627 @ X1628))&(~(in @ (esk53_2 @ X1627 @ X1628) @ X1628)|(subset @ X1627 @ X1628)))&((subset @ emptyset @ X1630)&((~(subset @ X1631 @ X1632)|(~(in @ X1633 @ X1631)|(in @ X1633 @ X1632)))&((~(subset @ X1634 @ X1635)|((in @ X1636 @ X1635)|~(in @ X1636 @ X1634)))&((~(in @ X1639 @ X1637)|((in @ X1639 @ X1638)|~(subset @ X1637 @ X1638)))&(((subset @ X1640 @ X1641)|((X1640)!=(X1641)))&((~(in @ X1644 @ X1642)|((in @ X1644 @ X1643)|((X1642)!=(X1643))))&((subset @ X1645 @ X1645)&((~(subset @ X1646 @ X1647)|(~(subset @ X1647 @ X1648)|(subset @ X1646 @ X1648)))&((subset @ X1650 @ (setadjoin @ X1649 @ X1650))&((~(subset @ X1651 @ X1653)|(subset @ X1651 @ (setadjoin @ X1652 @ X1653)))&((~(subset @ X1654 @ X1655)|(in @ X1654 @ (powerset @ X1655)))&((~(subset @ X1656 @ X1657)|(~(subset @ X1657 @ X1656)|((X1656)=(X1657))))&((~(subset @ X1658 @ emptyset)|((X1658)=(emptyset)))&((~(subset @ X1660 @ X1659)|(in @ X1660 @ (powerset @ X1659)))&((~(in @ X1662 @ (powerset @ X1661))|(subset @ X1662 @ X1661))&((in @ X1663 @ (powerset @ X1663))&((~(subset @ X1664 @ X1665)|(subset @ (powerset @ X1664) @ (powerset @ X1665)))&((in @ (dsetconstr @ X1666 @ X1667) @ (powerset @ X1666))&((subset @ (dsetconstr @ X1668 @ X1669) @ X1668)&((~(in @ X1672 @ X1670)|(in @ X1672 @ (binunion @ X1670 @ X1671)))&((in @ X1674 @ (setadjoin @ X1673 @ (setadjoin @ X1674 @ emptyset)))&((~(in @ X1677 @ X1676)|(in @ X1677 @ (binunion @ X1675 @ X1676)))&(((((in @ X1680 @ X1679)|(X1681)|(in @ X1680 @ X1678)|~(in @ X1680 @ (binunion @ X1678 @ X1679)))&(~(X1681)|(X1681)|(in @ X1680 @ X1678)|~(in @ X1680 @ (binunion @ X1678 @ X1679))))&(((in @ X1680 @ X1679)|(X1681)|~(X1681)|~(in @ X1680 @ (binunion @ X1678 @ X1679)))&(~(X1681)|(X1681)|~(X1681)|~(in @ X1680 @ (binunion @ X1678 @ X1679)))))&((~(in @ X1684 @ (binunion @ X1682 @ X1683))|((in @ X1684 @ X1682)|(in @ X1684 @ X1683)))&((subset @ X1685 @ (binunion @ X1685 @ X1686))&((subset @ X1688 @ (binunion @ X1687 @ X1688))&((~(in @ X1691 @ X1689)|(~(in @ X1691 @ X1690)|(in @ X1691 @ (binintersect @ X1689 @ X1690))))&((~(subset @ X1694 @ X1692)|(~(subset @ X1694 @ X1693)|(subset @ X1694 @ (binintersect @ X1692 @ X1693))))&((~(in @ X1697 @ (binintersect @ X1695 @ X1696))|(in @ X1697 @ X1695))&((subset @ (binintersect @ X1698 @ X1699) @ X1698)&((~(subset @ X1700 @ X1701)|((binintersect @ X1700 @ X1701)=(X1700)))&((((binintersect @ X1702 @ X1703)!=(X1703))|(subset @ X1703 @ X1702))&((~(in @ X1706 @ (binintersect @ X1704 @ X1705))|(in @ X1706 @ X1705))&((((in @ (esk54_2 @ X1707 @ X1708) @ X1707)|((binintersect @ X1707 @ X1708)=(emptyset)))&((in @ (esk54_2 @ X1707 @ X1708) @ X1708)|((binintersect @ X1707 @ X1708)=(emptyset))))&((subset @ (binintersect @ X1710 @ X1711) @ X1711)&((~(subset @ X1713 @ X1712)|((binintersect @ X1712 @ X1713)=(X1713)))&((((binintersect @ X1714 @ X1715)!=(X1714))|(subset @ X1714 @ X1715))&(((binintersect @ X1716 @ (binunion @ X1717 @ X1718))=(binunion @ (binintersect @ X1716 @ X1717) @ (binintersect @ X1716 @ X1718)))&((~(in @ X1721 @ X1719)|((in @ X1721 @ X1720)|(in @ X1721 @ (setminus @ X1719 @ X1720))))&((~(in @ X1724 @ (setminus @ X1722 @ X1723))|(in @ X1724 @ X1722))&((~(in @ X1727 @ (setminus @ X1725 @ X1726))|~(in @ X1727 @ X1726))&((~(subset @ X1728 @ X1729)|((setminus @ X1728 @ X1729)=(emptyset)))&(((in @ X1732 @ (setminus @ X1730 @ X1731))|(~(in @ X1732 @ X1730)|(in @ X1732 @ X1731)))&(((in @ X1735 @ (setminus @ X1733 @ X1734))|((in @ X1735 @ X1734)|~(in @ X1735 @ X1733)))&(((in @ X1738 @ X1736)|~(in @ X1738 @ (setminus @ X1736 @ X1737)))&((~(in @ X1741 @ X1740)|~(in @ X1741 @ (setminus @ X1739 @ X1740)))&((subset @ (setminus @ X1742 @ X1743) @ X1742)&((((setminus @ X1744 @ X1745)!=(emptyset))|(subset @ X1744 @ X1745))&((((~(in @ X1748 @ X1746)|(X1749)|(in @ X1748 @ X1746)|~(in @ X1748 @ (symdiff @ X1746 @ X1747)))&(((in @ X1748 @ X1747)|(X1749)|(in @ X1748 @ X1746)|~(in @ X1748 @ (symdiff @ X1746 @ X1747)))&(~(X1749)|(X1749)|(in @ X1748 @ X1746)|~(in @ X1748 @ (symdiff @ X1746 @ X1747)))))&(((~(in @ X1748 @ X1746)|(X1749)|~(in @ X1748 @ X1747)|~(in @ X1748 @ (symdiff @ X1746 @ X1747)))&(((in @ X1748 @ X1747)|(X1749)|~(in @ X1748 @ X1747)|~(in @ X1748 @ (symdiff @ X1746 @ X1747)))&(~(X1749)|(X1749)|~(in @ X1748 @ X1747)|~(in @ X1748 @ (symdiff @ X1746 @ X1747)))))&((~(in @ X1748 @ X1746)|(X1749)|~(X1749)|~(in @ X1748 @ (symdiff @ X1746 @ X1747)))&(((in @ X1748 @ X1747)|(X1749)|~(X1749)|~(in @ X1748 @ (symdiff @ X1746 @ X1747)))&(~(X1749)|(X1749)|~(X1749)|~(in @ X1748 @ (symdiff @ X1746 @ X1747)))))))&((~(in @ X1752 @ X1750)|((in @ X1752 @ X1751)|(in @ X1752 @ (symdiff @ X1750 @ X1751))))&(((in @ X1755 @ X1753)|(~(in @ X1755 @ X1754)|(in @ X1755 @ (symdiff @ X1753 @ X1754))))&((~(in @ X1758 @ X1756)|(~(in @ X1758 @ X1757)|~(in @ X1758 @ (symdiff @ X1756 @ X1757))))&(((in @ X1761 @ X1759)|((in @ X1761 @ X1760)|~(in @ X1761 @ (symdiff @ X1759 @ X1760))))&((in @ X1763 @ (setadjoin @ X1762 @ (setadjoin @ X1763 @ emptyset)))&((in @ X1764 @ (setunion @ (setadjoin @ (setadjoin @ X1764 @ emptyset) @ (setadjoin @ (setadjoin @ X1764 @ (setadjoin @ X1765 @ emptyset)) @ emptyset))))&((in @ X1767 @ (setunion @ (setadjoin @ (setadjoin @ X1766 @ emptyset) @ (setadjoin @ (setadjoin @ X1766 @ (setadjoin @ X1767 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1768 @ emptyset) @ (setadjoin @ (setadjoin @ X1768 @ (setadjoin @ X1769 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1770 @ X1771))&((~(in @ X1773 @ X1772)|(subset @ (setadjoin @ X1773 @ emptyset) @ X1772))&((~(in @ X1775 @ X1774)|(in @ (setadjoin @ X1775 @ emptyset) @ (powerset @ X1774)))&((~(in @ X1778 @ X1776)|(in @ (setadjoin @ X1778 @ emptyset) @ (powerset @ (binunion @ X1776 @ X1777))))&((~(in @ X1781 @ (setadjoin @ X1779 @ (setadjoin @ X1780 @ emptyset)))|(((X1781)=(X1779))|((X1781)=(X1780))))&((~(in @ X1784 @ X1782)|(~(in @ X1785 @ X1783)|(subset @ (setadjoin @ X1784 @ (setadjoin @ X1785 @ emptyset)) @ (binunion @ X1782 @ X1783))))&((~(in @ X1788 @ X1786)|(~(in @ X1789 @ X1787)|(in @ (setadjoin @ X1788 @ (setadjoin @ X1789 @ emptyset)) @ (powerset @ (binunion @ X1786 @ X1787)))))&((~(in @ X1792 @ X1790)|(~(in @ X1793 @ X1791)|(subset @ (setadjoin @ (setadjoin @ X1792 @ emptyset) @ (setadjoin @ (setadjoin @ X1792 @ (setadjoin @ X1793 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1790 @ X1791)))))&((~(in @ X1796 @ X1794)|(~(in @ X1797 @ X1795)|(in @ (setadjoin @ (setadjoin @ X1796 @ emptyset) @ (setadjoin @ (setadjoin @ X1796 @ (setadjoin @ X1797 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1794 @ X1795))))))&((~(in @ X1800 @ X1798)|(~(in @ X1801 @ X1799)|(in @ (kpair @ X1800 @ X1801) @ (powerset @ (powerset @ (binunion @ X1798 @ X1799))))))&((~(in @ X1804 @ X1802)|(~(in @ X1805 @ X1803)|(in @ (kpair @ X1804 @ X1805) @ (cartprod @ X1802 @ X1803))))&((((in @ (esk55_3 @ X1806 @ X1807 @ X1808) @ X1806)|~(in @ X1808 @ (cartprod @ X1806 @ X1807)))&(((in @ (esk56_3 @ X1806 @ X1807 @ X1808) @ X1807)|~(in @ X1808 @ (cartprod @ X1806 @ X1807)))&(((X1808)=(kpair @ (esk55_3 @ X1806 @ X1807 @ X1808) @ (esk56_3 @ X1806 @ X1807 @ X1808)))|~(in @ X1808 @ (cartprod @ X1806 @ X1807)))))&((~(in @ X1813 @ (cartprod @ X1811 @ X1812))|(iskpair @ X1813))&((((in @ (esk57_2 @ X1814 @ X1815) @ X1814)|~(in @ X1815 @ (setunion @ X1814)))&((in @ X1815 @ (esk57_2 @ X1814 @ X1815))|~(in @ X1815 @ (setunion @ X1814))))&((subset @ (setunion @ (setadjoin @ X1817 @ emptyset)) @ X1817)&((subset @ X1818 @ (setunion @ (setadjoin @ X1818 @ emptyset)))&(((setunion @ (setadjoin @ X1819 @ emptyset))=(X1819))&(((((in @ (esk60_2 @ X1820 @ X1821) @ (dsetconstr @ X1820 @ X1821))|(~(in @ X1824 @ X1820)|~(X1821 @ X1824))|(in @ (esk58_2 @ X1820 @ X1821) @ X1820))&(((dsetconstr @ X1820 @ X1821)=(setadjoin @ (esk60_2 @ X1820 @ X1821) @ emptyset))|(~(in @ X1824 @ X1820)|~(X1821 @ X1824))|(in @ (esk58_2 @ X1820 @ X1821) @ X1820)))&((((in @ (esk60_2 @ X1820 @ X1821) @ (dsetconstr @ X1820 @ X1821))|(~(in @ X1824 @ X1820)|~(X1821 @ X1824))|(in @ (esk59_2 @ X1820 @ X1821) @ X1820))&(((dsetconstr @ X1820 @ X1821)=(setadjoin @ (esk60_2 @ X1820 @ X1821) @ emptyset))|(~(in @ X1824 @ X1820)|~(X1821 @ X1824))|(in @ (esk59_2 @ X1820 @ X1821) @ X1820)))&((((in @ (esk60_2 @ X1820 @ X1821) @ (dsetconstr @ X1820 @ X1821))|(~(in @ X1824 @ X1820)|~(X1821 @ X1824))|(X1821 @ (esk58_2 @ X1820 @ X1821)))&(((dsetconstr @ X1820 @ X1821)=(setadjoin @ (esk60_2 @ X1820 @ X1821) @ emptyset))|(~(in @ X1824 @ X1820)|~(X1821 @ X1824))|(X1821 @ (esk58_2 @ X1820 @ X1821))))&((((in @ (esk60_2 @ X1820 @ X1821) @ (dsetconstr @ X1820 @ X1821))|(~(in @ X1824 @ X1820)|~(X1821 @ X1824))|(X1821 @ (esk59_2 @ X1820 @ X1821)))&(((dsetconstr @ X1820 @ X1821)=(setadjoin @ (esk60_2 @ X1820 @ X1821) @ emptyset))|(~(in @ X1824 @ X1820)|~(X1821 @ X1824))|(X1821 @ (esk59_2 @ X1820 @ X1821))))&(((in @ (esk60_2 @ X1820 @ X1821) @ (dsetconstr @ X1820 @ X1821))|(~(in @ X1824 @ X1820)|~(X1821 @ X1824))|((esk58_2 @ X1820 @ X1821)!=(esk59_2 @ X1820 @ X1821)))&(((dsetconstr @ X1820 @ X1821)=(setadjoin @ (esk60_2 @ X1820 @ X1821) @ emptyset))|(~(in @ X1824 @ X1820)|~(X1821 @ X1824))|((esk58_2 @ X1820 @ X1821)!=(esk59_2 @ X1820 @ X1821))))))))&((((in @ (esk61_2 @ X1826 @ X1827) @ X1826)|(~(in @ X1828 @ (dsetconstr @ X1826 @ X1827))|((dsetconstr @ X1826 @ X1827)!=(setadjoin @ X1828 @ emptyset))))&((X1827 @ (esk61_2 @ X1826 @ X1827))|(~(in @ X1828 @ (dsetconstr @ X1826 @ X1827))|((dsetconstr @ X1826 @ X1827)!=(setadjoin @ X1828 @ emptyset)))))&(((((in @ (esk63_3 @ X1830 @ X1831 @ X1832) @ (dsetconstr @ X1830 @ X1831))|(in @ (esk62_3 @ X1830 @ X1831 @ X1832) @ X1830)|~(X1831 @ X1832)|~(in @ X1832 @ X1830))&(((dsetconstr @ X1830 @ X1831)=(setadjoin @ (esk63_3 @ X1830 @ X1831 @ X1832) @ emptyset))|(in @ (esk62_3 @ X1830 @ X1831 @ X1832) @ X1830)|~(X1831 @ X1832)|~(in @ X1832 @ X1830)))&((((in @ (esk63_3 @ X1830 @ X1831 @ X1832) @ (dsetconstr @ X1830 @ X1831))|(X1831 @ (esk62_3 @ X1830 @ X1831 @ X1832))|~(X1831 @ X1832)|~(in @ X1832 @ X1830))&(((dsetconstr @ X1830 @ X1831)=(setadjoin @ (esk63_3 @ X1830 @ X1831 @ X1832) @ emptyset))|(X1831 @ (esk62_3 @ X1830 @ X1831 @ X1832))|~(X1831 @ X1832)|~(in @ X1832 @ X1830)))&(((in @ (esk63_3 @ X1830 @ X1831 @ X1832) @ (dsetconstr @ X1830 @ X1831))|((esk62_3 @ X1830 @ X1831 @ X1832)!=(X1832))|~(X1831 @ X1832)|~(in @ X1832 @ X1830))&(((dsetconstr @ X1830 @ X1831)=(setadjoin @ (esk63_3 @ X1830 @ X1831 @ X1832) @ emptyset))|((esk62_3 @ X1830 @ X1831 @ X1832)!=(X1832))|~(X1831 @ X1832)|~(in @ X1832 @ X1830)))))&(((((in @ (esk66_2 @ X1835 @ X1836) @ (dsetconstr @ X1835 @ X1836))|(~(in @ X1839 @ X1835)|~(X1836 @ X1839))|(in @ (esk64_2 @ X1835 @ X1836) @ X1835))&(((dsetconstr @ X1835 @ X1836)=(setadjoin @ (esk66_2 @ X1835 @ X1836) @ emptyset))|(~(in @ X1839 @ X1835)|~(X1836 @ X1839))|(in @ (esk64_2 @ X1835 @ X1836) @ X1835)))&((((in @ (esk66_2 @ X1835 @ X1836) @ (dsetconstr @ X1835 @ X1836))|(~(in @ X1839 @ X1835)|~(X1836 @ X1839))|(in @ (esk65_2 @ X1835 @ X1836) @ X1835))&(((dsetconstr @ X1835 @ X1836)=(setadjoin @ (esk66_2 @ X1835 @ X1836) @ emptyset))|(~(in @ X1839 @ X1835)|~(X1836 @ X1839))|(in @ (esk65_2 @ X1835 @ X1836) @ X1835)))&((((in @ (esk66_2 @ X1835 @ X1836) @ (dsetconstr @ X1835 @ X1836))|(~(in @ X1839 @ X1835)|~(X1836 @ X1839))|(X1836 @ (esk64_2 @ X1835 @ X1836)))&(((dsetconstr @ X1835 @ X1836)=(setadjoin @ (esk66_2 @ X1835 @ X1836) @ emptyset))|(~(in @ X1839 @ X1835)|~(X1836 @ X1839))|(X1836 @ (esk64_2 @ X1835 @ X1836))))&((((in @ (esk66_2 @ X1835 @ X1836) @ (dsetconstr @ X1835 @ X1836))|(~(in @ X1839 @ X1835)|~(X1836 @ X1839))|(X1836 @ (esk65_2 @ X1835 @ X1836)))&(((dsetconstr @ X1835 @ X1836)=(setadjoin @ (esk66_2 @ X1835 @ X1836) @ emptyset))|(~(in @ X1839 @ X1835)|~(X1836 @ X1839))|(X1836 @ (esk65_2 @ X1835 @ X1836))))&(((in @ (esk66_2 @ X1835 @ X1836) @ (dsetconstr @ X1835 @ X1836))|(~(in @ X1839 @ X1835)|~(X1836 @ X1839))|((esk64_2 @ X1835 @ X1836)!=(esk65_2 @ X1835 @ X1836)))&(((dsetconstr @ X1835 @ X1836)=(setadjoin @ (esk66_2 @ X1835 @ X1836) @ emptyset))|(~(in @ X1839 @ X1835)|~(X1836 @ X1839))|((esk64_2 @ X1835 @ X1836)!=(esk65_2 @ X1835 @ X1836))))))))&((((setadjoin @ X1841 @ emptyset)!=(setadjoin @ X1842 @ emptyset))|((X1841)=(X1842)))&((~(in @ (setadjoin @ X1845 @ emptyset) @ (setadjoin @ (setadjoin @ X1843 @ emptyset) @ (setadjoin @ (setadjoin @ X1843 @ (setadjoin @ X1844 @ emptyset)) @ emptyset)))|((X1843)=(X1845)))&((((in @ (esk67_1 @ X1846) @ (dsetconstr @ (setunion @ X1846) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1846)))))|~(iskpair @ X1846))&(((dsetconstr @ (setunion @ X1846) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1846))))=(setadjoin @ (esk67_1 @ X1846) @ emptyset))|~(iskpair @ X1846)))&((~(in @ X1849 @ X1848)|((X1848)!=(setadjoin @ X1849 @ emptyset))|(in @ (setunion @ X1848) @ X1848))&(((kfst @ (kpair @ X1850 @ X1851))=(X1850))&((~(in @ X1854 @ (cartprod @ X1852 @ X1853))|(in @ (kfst @ X1854) @ X1852))&((((setadjoin @ (setadjoin @ X1855 @ emptyset) @ (setadjoin @ (setadjoin @ X1855 @ (setadjoin @ X1856 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1857 @ emptyset) @ (setadjoin @ (setadjoin @ X1857 @ (setadjoin @ X1858 @ emptyset)) @ emptyset)))|((X1855)=(X1857)))&((((kpair @ X1859 @ X1860)!=(kpair @ X1861 @ X1862))|((X1859)=(X1861)))&((((X1863)!=(X1864))|((setadjoin @ X1863 @ (setadjoin @ X1864 @ emptyset))=(setadjoin @ X1863 @ emptyset)))&((((X1865)!=(X1866))|((setadjoin @ (setadjoin @ X1865 @ emptyset) @ (setadjoin @ (setadjoin @ X1865 @ (setadjoin @ X1866 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1865 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1867 @ emptyset) @ (setadjoin @ (setadjoin @ X1867 @ (setadjoin @ X1868 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1869 @ emptyset) @ (setadjoin @ (setadjoin @ X1869 @ (setadjoin @ X1870 @ emptyset)) @ emptyset)))|(((X1869)!=(X1870))|((X1868)=(X1870))))&((((setadjoin @ X1871 @ (setadjoin @ X1872 @ emptyset))!=(setadjoin @ X1873 @ emptyset))|((X1871)=(X1872)))&((((setadjoin @ (setadjoin @ X1874 @ emptyset) @ (setadjoin @ (setadjoin @ X1874 @ (setadjoin @ X1875 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1876 @ emptyset) @ (setadjoin @ (setadjoin @ X1876 @ (setadjoin @ X1877 @ emptyset)) @ emptyset)))|((X1875)=(X1877)))&((((kpair @ X1878 @ X1879)!=(kpair @ X1880 @ X1881))|((X1879)=(X1881)))&((((in @ (esk68_1 @ X1882) @ (dsetconstr @ (setunion @ X1882) @ (^[Z0:$i]:(((X1882)=(kpair @ (kfst @ X1882) @ Z0))))))|~(iskpair @ X1882))&(((dsetconstr @ (setunion @ X1882) @ (^[Z0:$i]:(((X1882)=(kpair @ (kfst @ X1882) @ Z0)))))=(setadjoin @ (esk68_1 @ X1882) @ emptyset))|~(iskpair @ X1882)))&(((ksnd @ (kpair @ X1884 @ X1885))=(X1885))&((~(iskpair @ X1886)|((kpair @ (kfst @ X1886) @ (ksnd @ X1886))=(X1886)))&((~(in @ X1889 @ (cartprod @ X1887 @ X1888))|(in @ (ksnd @ X1889) @ X1888))&((~(in @ (kpair @ X1892 @ X1893) @ (cartprod @ X1890 @ X1891))|(in @ X1892 @ X1890))&((~(in @ (kpair @ X1896 @ X1897) @ (cartprod @ X1894 @ X1895))|(in @ X1897 @ X1895))&((~(in @ X1900 @ X1898)|(~(in @ X1901 @ X1899)|((kpair @ X1900 @ X1901)=(kpair @ X1900 @ X1901))))&((~(in @ X1904 @ X1902)|(~(in @ X1905 @ X1903)|((kfst @ (kpair @ X1904 @ X1905))=(X1904))))&((~(in @ X1908 @ X1906)|(~(in @ X1909 @ X1907)|((ksnd @ (kpair @ X1908 @ X1909))=(X1909))))&((~(in @ X1912 @ (cartprod @ X1910 @ X1911))|((kpair @ (kfst @ X1912) @ (ksnd @ X1912))=(X1912)))&((~(in @ X1916 @ X1913)|(~(in @ X1917 @ X1914)|(~(X1915 @ X1916 @ X1917)|(in @ (kpair @ X1916 @ X1917) @ (dpsetconstr @ X1913 @ X1914 @ X1915)))))&((subset @ (dpsetconstr @ X1918 @ X1919 @ X1920) @ (cartprod @ X1918 @ X1919))&((subset @ (dpsetconstr @ X1921 @ X1922 @ X1923) @ (cartprod @ X1921 @ X1922))&((~(in @ X1927 @ X1924)|(~(in @ X1928 @ X1925)|(~(in @ (kpair @ X1927 @ X1928) @ (dpsetconstr @ X1924 @ X1925 @ X1926))|(X1926 @ X1927 @ X1928))))&((~(in @ (kpair @ X1932 @ X1933) @ (dpsetconstr @ X1929 @ X1930 @ X1931))|(in @ X1932 @ X1929))&((~(in @ (kpair @ X1937 @ X1938) @ (dpsetconstr @ X1934 @ X1935 @ X1936))|(in @ X1938 @ X1935))&((~(in @ (kpair @ X1942 @ X1943) @ (dpsetconstr @ X1939 @ X1940 @ X1941))|(X1941 @ X1942 @ X1943))&(((((in @ (esk70_4 @ X1944 @ X1945 @ X1946 @ X1949) @ (dsetconstr @ X1945 @ (^[Z0:$i]:((in @ (kpair @ X1949 @ Z0) @ X1946)))))|~(in @ X1949 @ X1944)|((in @ (esk69_3 @ X1944 @ X1945 @ X1946) @ X1944)|~(subset @ X1946 @ (cartprod @ X1944 @ X1945))))&(((dsetconstr @ X1945 @ (^[Z0:$i]:((in @ (kpair @ X1949 @ Z0) @ X1946))))=(setadjoin @ (esk70_4 @ X1944 @ X1945 @ X1946 @ X1949) @ emptyset))|~(in @ X1949 @ X1944)|((in @ (esk69_3 @ X1944 @ X1945 @ X1946) @ X1944)|~(subset @ X1946 @ (cartprod @ X1944 @ X1945)))))&(((in @ (esk70_4 @ X1944 @ X1945 @ X1946 @ X1949) @ (dsetconstr @ X1945 @ (^[Z0:$i]:((in @ (kpair @ X1949 @ Z0) @ X1946)))))|~(in @ X1949 @ X1944)|(~(in @ X1948 @ (dsetconstr @ X1945 @ (^[Z0:$i]:((in @ (kpair @ (esk69_3 @ X1944 @ X1945 @ X1946) @ Z0) @ X1946)))))|((dsetconstr @ X1945 @ (^[Z0:$i]:((in @ (kpair @ (esk69_3 @ X1944 @ X1945 @ X1946) @ Z0) @ X1946))))!=(setadjoin @ X1948 @ emptyset))|~(subset @ X1946 @ (cartprod @ X1944 @ X1945))))&(((dsetconstr @ X1945 @ (^[Z0:$i]:((in @ (kpair @ X1949 @ Z0) @ X1946))))=(setadjoin @ (esk70_4 @ X1944 @ X1945 @ X1946 @ X1949) @ emptyset))|~(in @ X1949 @ X1944)|(~(in @ X1948 @ (dsetconstr @ X1945 @ (^[Z0:$i]:((in @ (kpair @ (esk69_3 @ X1944 @ X1945 @ X1946) @ Z0) @ X1946)))))|((dsetconstr @ X1945 @ (^[Z0:$i]:((in @ (kpair @ (esk69_3 @ X1944 @ X1945 @ X1946) @ Z0) @ X1946))))!=(setadjoin @ X1948 @ emptyset))|~(subset @ X1946 @ (cartprod @ X1944 @ X1945))))))&((((in @ (esk71_3 @ X1951 @ X1952 @ X1953) @ X1951)|~(subset @ X1953 @ (cartprod @ X1951 @ X1952))|(~(in @ X1956 @ X1951)|(in @ (setunion @ (dsetconstr @ X1952 @ (^[Z0:$i]:((in @ (kpair @ X1956 @ Z0) @ X1953))))) @ X1952)))&(~(in @ X1955 @ (dsetconstr @ X1952 @ (^[Z0:$i]:((in @ (kpair @ (esk71_3 @ X1951 @ X1952 @ X1953) @ Z0) @ X1953)))))|((dsetconstr @ X1952 @ (^[Z0:$i]:((in @ (kpair @ (esk71_3 @ X1951 @ X1952 @ X1953) @ Z0) @ X1953))))!=(setadjoin @ X1955 @ emptyset))|~(subset @ X1953 @ (cartprod @ X1951 @ X1952))|(~(in @ X1956 @ X1951)|(in @ (setunion @ (dsetconstr @ X1952 @ (^[Z0:$i]:((in @ (kpair @ X1956 @ Z0) @ X1953))))) @ X1952))))&((((in @ (esk72_3 @ X1957 @ X1958 @ X1959) @ X1957)|~(subset @ X1959 @ (cartprod @ X1957 @ X1958))|(~(in @ X1962 @ X1957)|(in @ (ap @ X1957 @ X1958 @ X1959 @ X1962) @ X1958)))&(~(in @ X1961 @ (dsetconstr @ X1958 @ (^[Z0:$i]:((in @ (kpair @ (esk72_3 @ X1957 @ X1958 @ X1959) @ Z0) @ X1959)))))|((dsetconstr @ X1958 @ (^[Z0:$i]:((in @ (kpair @ (esk72_3 @ X1957 @ X1958 @ X1959) @ Z0) @ X1959))))!=(setadjoin @ X1961 @ emptyset))|~(subset @ X1959 @ (cartprod @ X1957 @ X1958))|(~(in @ X1962 @ X1957)|(in @ (ap @ X1957 @ X1958 @ X1959 @ X1962) @ X1958))))&((((subset @ X1965 @ (cartprod @ X1963 @ X1964))|~(in @ X1965 @ (funcSet @ X1963 @ X1964)))&(((in @ (esk73_4 @ X1963 @ X1964 @ X1965 @ X1966) @ (dsetconstr @ X1964 @ (^[Z0:$i]:((in @ (kpair @ X1966 @ Z0) @ X1965)))))|~(in @ X1966 @ X1963)|~(in @ X1965 @ (funcSet @ X1963 @ X1964)))&(((dsetconstr @ X1964 @ (^[Z0:$i]:((in @ (kpair @ X1966 @ Z0) @ X1965))))=(setadjoin @ (esk73_4 @ X1963 @ X1964 @ X1965 @ X1966) @ emptyset))|~(in @ X1966 @ X1963)|~(in @ X1965 @ (funcSet @ X1963 @ X1964)))))&((~(in @ X1970 @ (funcSet @ X1968 @ X1969))|(~(in @ X1971 @ X1968)|(in @ (ap @ X1968 @ X1969 @ X1970 @ X1971) @ X1969)))&((((in @ (esk74_3 @ X1972 @ X1973 @ X1974) @ X1972)|~(subset @ X1974 @ (cartprod @ X1972 @ X1973))|(in @ X1974 @ (funcSet @ X1972 @ X1973)))&(~(in @ X1976 @ (dsetconstr @ X1973 @ (^[Z0:$i]:((in @ (kpair @ (esk74_3 @ X1972 @ X1973 @ X1974) @ Z0) @ X1974)))))|((dsetconstr @ X1973 @ (^[Z0:$i]:((in @ (kpair @ (esk74_3 @ X1972 @ X1973 @ X1974) @ Z0) @ X1974))))!=(setadjoin @ X1976 @ emptyset))|~(subset @ X1974 @ (cartprod @ X1972 @ X1973))|(in @ X1974 @ (funcSet @ X1972 @ X1973))))&(((((subset @ (dpsetconstr @ X1977 @ X1978 @ (^[Z0:$i]:($eq @ (X1979 @ Z0)))) @ (cartprod @ X1977 @ X1978))|(in @ (esk75_3 @ X1977 @ X1978 @ X1979) @ X1977))&(((in @ (esk76_4 @ X1977 @ X1978 @ X1979 @ X1981) @ (dsetconstr @ X1978 @ (^[Z0:$i]:((in @ (kpair @ X1981 @ Z0) @ (dpsetconstr @ X1977 @ X1978 @ (^[Z1:$i]:($eq @ (X1979 @ Z1)))))))))|~(in @ X1981 @ X1977)|(in @ (esk75_3 @ X1977 @ X1978 @ X1979) @ X1977))&(((dsetconstr @ X1978 @ (^[Z0:$i]:((in @ (kpair @ X1981 @ Z0) @ (dpsetconstr @ X1977 @ X1978 @ (^[Z1:$i]:($eq @ (X1979 @ Z1))))))))=(setadjoin @ (esk76_4 @ X1977 @ X1978 @ X1979 @ X1981) @ emptyset))|~(in @ X1981 @ X1977)|(in @ (esk75_3 @ X1977 @ X1978 @ X1979) @ X1977))))&(((subset @ (dpsetconstr @ X1977 @ X1978 @ (^[Z0:$i]:($eq @ (X1979 @ Z0)))) @ (cartprod @ X1977 @ X1978))|~(in @ (X1979 @ (esk75_3 @ X1977 @ X1978 @ X1979)) @ X1978))&(((in @ (esk76_4 @ X1977 @ X1978 @ X1979 @ X1981) @ (dsetconstr @ X1978 @ (^[Z0:$i]:((in @ (kpair @ X1981 @ Z0) @ (dpsetconstr @ X1977 @ X1978 @ (^[Z1:$i]:($eq @ (X1979 @ Z1)))))))))|~(in @ X1981 @ X1977)|~(in @ (X1979 @ (esk75_3 @ X1977 @ X1978 @ X1979)) @ X1978))&(((dsetconstr @ X1978 @ (^[Z0:$i]:((in @ (kpair @ X1981 @ Z0) @ (dpsetconstr @ X1977 @ X1978 @ (^[Z1:$i]:($eq @ (X1979 @ Z1))))))))=(setadjoin @ (esk76_4 @ X1977 @ X1978 @ X1979 @ X1981) @ emptyset))|~(in @ X1981 @ X1977)|~(in @ (X1979 @ (esk75_3 @ X1977 @ X1978 @ X1979)) @ X1978)))))&(((((subset @ (dpsetconstr @ X1983 @ X1984 @ (^[Z0:$i]:($eq @ (X1985 @ Z0)))) @ (cartprod @ X1983 @ X1984))|(in @ (esk77_3 @ X1983 @ X1984 @ X1985) @ X1983))&(((in @ (esk78_4 @ X1983 @ X1984 @ X1985 @ X1987) @ (dsetconstr @ X1984 @ (^[Z0:$i]:((in @ (kpair @ X1987 @ Z0) @ (dpsetconstr @ X1983 @ X1984 @ (^[Z1:$i]:($eq @ (X1985 @ Z1)))))))))|~(in @ X1987 @ X1983)|(in @ (esk77_3 @ X1983 @ X1984 @ X1985) @ X1983))&(((dsetconstr @ X1984 @ (^[Z0:$i]:((in @ (kpair @ X1987 @ Z0) @ (dpsetconstr @ X1983 @ X1984 @ (^[Z1:$i]:($eq @ (X1985 @ Z1))))))))=(setadjoin @ (esk78_4 @ X1983 @ X1984 @ X1985 @ X1987) @ emptyset))|~(in @ X1987 @ X1983)|(in @ (esk77_3 @ X1983 @ X1984 @ X1985) @ X1983))))&(((subset @ (dpsetconstr @ X1983 @ X1984 @ (^[Z0:$i]:($eq @ (X1985 @ Z0)))) @ (cartprod @ X1983 @ X1984))|~(in @ (X1985 @ (esk77_3 @ X1983 @ X1984 @ X1985)) @ X1984))&(((in @ (esk78_4 @ X1983 @ X1984 @ X1985 @ X1987) @ (dsetconstr @ X1984 @ (^[Z0:$i]:((in @ (kpair @ X1987 @ Z0) @ (dpsetconstr @ X1983 @ X1984 @ (^[Z1:$i]:($eq @ (X1985 @ Z1)))))))))|~(in @ X1987 @ X1983)|~(in @ (X1985 @ (esk77_3 @ X1983 @ X1984 @ X1985)) @ X1984))&(((dsetconstr @ X1984 @ (^[Z0:$i]:((in @ (kpair @ X1987 @ Z0) @ (dpsetconstr @ X1983 @ X1984 @ (^[Z1:$i]:($eq @ (X1985 @ Z1))))))))=(setadjoin @ (esk78_4 @ X1983 @ X1984 @ X1985 @ X1987) @ emptyset))|~(in @ X1987 @ X1983)|~(in @ (X1985 @ (esk77_3 @ X1983 @ X1984 @ X1985)) @ X1984)))))&((((in @ (esk79_3 @ X1989 @ X1990 @ X1991) @ X1989)|(in @ (dpsetconstr @ X1989 @ X1990 @ (^[Z0:$i]:($eq @ (X1991 @ Z0)))) @ (funcSet @ X1989 @ X1990)))&(~(in @ (X1991 @ (esk79_3 @ X1989 @ X1990 @ X1991)) @ X1990)|(in @ (dpsetconstr @ X1989 @ X1990 @ (^[Z0:$i]:($eq @ (X1991 @ Z0)))) @ (funcSet @ X1989 @ X1990))))&((((in @ (esk80_4 @ X1993 @ X1994 @ X1995 @ X1996) @ X1993)|(~(in @ X1999 @ X1995)|(X1996 @ X1999))|~(subset @ X1995 @ (cartprod @ X1993 @ X1994)))&(((in @ (esk81_4 @ X1993 @ X1994 @ X1995 @ X1996) @ X1994)|(~(in @ X1999 @ X1995)|(X1996 @ X1999))|~(subset @ X1995 @ (cartprod @ X1993 @ X1994)))&(((in @ (kpair @ (esk80_4 @ X1993 @ X1994 @ X1995 @ X1996) @ (esk81_4 @ X1993 @ X1994 @ X1995 @ X1996)) @ X1995)|(~(in @ X1999 @ X1995)|(X1996 @ X1999))|~(subset @ X1995 @ (cartprod @ X1993 @ X1994)))&(~(X1996 @ (kpair @ (esk80_4 @ X1993 @ X1994 @ X1995 @ X1996) @ (esk81_4 @ X1993 @ X1994 @ X1995 @ X1996)))|(~(in @ X1999 @ X1995)|(X1996 @ X1999))|~(subset @ X1995 @ (cartprod @ X1993 @ X1994))))))&((((in @ (esk82_4 @ X2000 @ X2001 @ X2002 @ X2003) @ X2000)|(~(in @ X2006 @ X2002)|(X2003 @ X2006))|~(subset @ X2002 @ (cartprod @ X2000 @ X2001)))&(((in @ (esk83_4 @ X2000 @ X2001 @ X2002 @ X2003) @ X2001)|(~(in @ X2006 @ X2002)|(X2003 @ X2006))|~(subset @ X2002 @ (cartprod @ X2000 @ X2001)))&(((in @ (kpair @ (esk82_4 @ X2000 @ X2001 @ X2002 @ X2003) @ (esk83_4 @ X2000 @ X2001 @ X2002 @ X2003)) @ X2002)|(~(in @ X2006 @ X2002)|(X2003 @ X2006))|~(subset @ X2002 @ (cartprod @ X2000 @ X2001)))&(~(X2003 @ (kpair @ (esk82_4 @ X2000 @ X2001 @ X2002 @ X2003) @ (esk83_4 @ X2000 @ X2001 @ X2002 @ X2003)))|(~(in @ X2006 @ X2002)|(X2003 @ X2006))|~(subset @ X2002 @ (cartprod @ X2000 @ X2001))))))&((~(in @ X2009 @ (dsetconstr @ X2007 @ X2008))|((dsetconstr @ X2007 @ X2008)!=(setadjoin @ X2009 @ emptyset))|(~(in @ X2010 @ X2007)|(~(in @ X2011 @ X2007)|(~(X2008 @ X2010)|(~(X2008 @ X2011)|((X2010)=(X2011)))))))&((((in @ (esk84_3 @ X2012 @ X2013 @ X2014) @ X2012)|~(subset @ X2014 @ (cartprod @ X2012 @ X2013))|(~(in @ X2017 @ X2012)|(in @ (kpair @ X2017 @ (ap @ X2012 @ X2013 @ X2014 @ X2017)) @ X2014)))&(~(in @ X2016 @ (dsetconstr @ X2013 @ (^[Z0:$i]:((in @ (kpair @ (esk84_3 @ X2012 @ X2013 @ X2014) @ Z0) @ X2014)))))|((dsetconstr @ X2013 @ (^[Z0:$i]:((in @ (kpair @ (esk84_3 @ X2012 @ X2013 @ X2014) @ Z0) @ X2014))))!=(setadjoin @ X2016 @ emptyset))|~(subset @ X2014 @ (cartprod @ X2012 @ X2013))|(~(in @ X2017 @ X2012)|(in @ (kpair @ X2017 @ (ap @ X2012 @ X2013 @ X2014 @ X2017)) @ X2014))))&((~(in @ X2020 @ (funcSet @ X2018 @ X2019))|(~(in @ X2021 @ X2018)|(in @ (kpair @ X2021 @ (ap @ X2018 @ X2019 @ X2020 @ X2021)) @ X2020)))&((((in @ (esk85_3 @ X2022 @ X2023 @ X2024) @ X2022)|~(subset @ X2024 @ (cartprod @ X2022 @ X2023))|(~(in @ X2027 @ X2022)|(~(in @ X2028 @ X2023)|(~(in @ (kpair @ X2027 @ X2028) @ X2024)|((ap @ X2022 @ X2023 @ X2024 @ X2027)=(X2028))))))&(~(in @ X2026 @ (dsetconstr @ X2023 @ (^[Z0:$i]:((in @ (kpair @ (esk85_3 @ X2022 @ X2023 @ X2024) @ Z0) @ X2024)))))|((dsetconstr @ X2023 @ (^[Z0:$i]:((in @ (kpair @ (esk85_3 @ X2022 @ X2023 @ X2024) @ Z0) @ X2024))))!=(setadjoin @ X2026 @ emptyset))|~(subset @ X2024 @ (cartprod @ X2022 @ X2023))|(~(in @ X2027 @ X2022)|(~(in @ X2028 @ X2023)|(~(in @ (kpair @ X2027 @ X2028) @ X2024)|((ap @ X2022 @ X2023 @ X2024 @ X2027)=(X2028)))))))&((((((in @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034) @ X2029)|(~(in @ X2038 @ X2029)|(~(in @ X2039 @ X2030)|(~(in @ (kpair @ X2038 @ X2039) @ X2034)|(in @ (kpair @ X2038 @ X2039) @ X2031))))|((in @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ X2029)|~(subset @ X2034 @ (cartprod @ X2029 @ X2030)))|((in @ (esk86_3 @ X2029 @ X2030 @ X2031) @ X2029)|~(subset @ X2031 @ (cartprod @ X2029 @ X2030))))&(((ap @ X2029 @ X2030 @ X2031 @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034))!=(ap @ X2029 @ X2030 @ X2034 @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034)))|(~(in @ X2038 @ X2029)|(~(in @ X2039 @ X2030)|(~(in @ (kpair @ X2038 @ X2039) @ X2034)|(in @ (kpair @ X2038 @ X2039) @ X2031))))|((in @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ X2029)|~(subset @ X2034 @ (cartprod @ X2029 @ X2030)))|((in @ (esk86_3 @ X2029 @ X2030 @ X2031) @ X2029)|~(subset @ X2031 @ (cartprod @ X2029 @ X2030)))))&(((in @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034) @ X2029)|(~(in @ X2038 @ X2029)|(~(in @ X2039 @ X2030)|(~(in @ (kpair @ X2038 @ X2039) @ X2034)|(in @ (kpair @ X2038 @ X2039) @ X2031))))|(~(in @ X2036 @ (dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ Z0) @ X2034)))))|((dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ Z0) @ X2034))))!=(setadjoin @ X2036 @ emptyset))|~(subset @ X2034 @ (cartprod @ X2029 @ X2030)))|((in @ (esk86_3 @ X2029 @ X2030 @ X2031) @ X2029)|~(subset @ X2031 @ (cartprod @ X2029 @ X2030))))&(((ap @ X2029 @ X2030 @ X2031 @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034))!=(ap @ X2029 @ X2030 @ X2034 @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034)))|(~(in @ X2038 @ X2029)|(~(in @ X2039 @ X2030)|(~(in @ (kpair @ X2038 @ X2039) @ X2034)|(in @ (kpair @ X2038 @ X2039) @ X2031))))|(~(in @ X2036 @ (dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ Z0) @ X2034)))))|((dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ Z0) @ X2034))))!=(setadjoin @ X2036 @ emptyset))|~(subset @ X2034 @ (cartprod @ X2029 @ X2030)))|((in @ (esk86_3 @ X2029 @ X2030 @ X2031) @ X2029)|~(subset @ X2031 @ (cartprod @ X2029 @ X2030))))))&((((in @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034) @ X2029)|(~(in @ X2038 @ X2029)|(~(in @ X2039 @ X2030)|(~(in @ (kpair @ X2038 @ X2039) @ X2034)|(in @ (kpair @ X2038 @ X2039) @ X2031))))|((in @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ X2029)|~(subset @ X2034 @ (cartprod @ X2029 @ X2030)))|(~(in @ X2033 @ (dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2029 @ X2030 @ X2031) @ Z0) @ X2031)))))|((dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2029 @ X2030 @ X2031) @ Z0) @ X2031))))!=(setadjoin @ X2033 @ emptyset))|~(subset @ X2031 @ (cartprod @ X2029 @ X2030))))&(((ap @ X2029 @ X2030 @ X2031 @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034))!=(ap @ X2029 @ X2030 @ X2034 @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034)))|(~(in @ X2038 @ X2029)|(~(in @ X2039 @ X2030)|(~(in @ (kpair @ X2038 @ X2039) @ X2034)|(in @ (kpair @ X2038 @ X2039) @ X2031))))|((in @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ X2029)|~(subset @ X2034 @ (cartprod @ X2029 @ X2030)))|(~(in @ X2033 @ (dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2029 @ X2030 @ X2031) @ Z0) @ X2031)))))|((dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2029 @ X2030 @ X2031) @ Z0) @ X2031))))!=(setadjoin @ X2033 @ emptyset))|~(subset @ X2031 @ (cartprod @ X2029 @ X2030)))))&(((in @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034) @ X2029)|(~(in @ X2038 @ X2029)|(~(in @ X2039 @ X2030)|(~(in @ (kpair @ X2038 @ X2039) @ X2034)|(in @ (kpair @ X2038 @ X2039) @ X2031))))|(~(in @ X2036 @ (dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ Z0) @ X2034)))))|((dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ Z0) @ X2034))))!=(setadjoin @ X2036 @ emptyset))|~(subset @ X2034 @ (cartprod @ X2029 @ X2030)))|(~(in @ X2033 @ (dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2029 @ X2030 @ X2031) @ Z0) @ X2031)))))|((dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2029 @ X2030 @ X2031) @ Z0) @ X2031))))!=(setadjoin @ X2033 @ emptyset))|~(subset @ X2031 @ (cartprod @ X2029 @ X2030))))&(((ap @ X2029 @ X2030 @ X2031 @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034))!=(ap @ X2029 @ X2030 @ X2034 @ (esk88_4 @ X2029 @ X2030 @ X2031 @ X2034)))|(~(in @ X2038 @ X2029)|(~(in @ X2039 @ X2030)|(~(in @ (kpair @ X2038 @ X2039) @ X2034)|(in @ (kpair @ X2038 @ X2039) @ X2031))))|(~(in @ X2036 @ (dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ Z0) @ X2034)))))|((dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2029 @ X2030 @ X2031 @ X2034) @ Z0) @ X2034))))!=(setadjoin @ X2036 @ emptyset))|~(subset @ X2034 @ (cartprod @ X2029 @ X2030)))|(~(in @ X2033 @ (dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2029 @ X2030 @ X2031) @ Z0) @ X2031)))))|((dsetconstr @ X2030 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2029 @ X2030 @ X2031) @ Z0) @ X2031))))!=(setadjoin @ X2033 @ emptyset))|~(subset @ X2031 @ (cartprod @ X2029 @ X2030)))))))&((~(in @ X2042 @ (funcSet @ X2040 @ X2041))|(~(in @ X2043 @ X2040)|(~(in @ X2044 @ X2041)|(~(in @ (kpair @ X2043 @ X2044) @ X2042)|((ap @ X2040 @ X2041 @ X2042 @ X2043)=(X2044))))))&((((in @ (esk89_4 @ X2045 @ X2046 @ X2047 @ X2048) @ X2045)|(subset @ X2047 @ X2048)|~(subset @ X2048 @ (cartprod @ X2045 @ X2046))|~(subset @ X2047 @ (cartprod @ X2045 @ X2046)))&(((in @ (esk90_4 @ X2045 @ X2046 @ X2047 @ X2048) @ X2046)|(subset @ X2047 @ X2048)|~(subset @ X2048 @ (cartprod @ X2045 @ X2046))|~(subset @ X2047 @ (cartprod @ X2045 @ X2046)))&(((in @ (kpair @ (esk89_4 @ X2045 @ X2046 @ X2047 @ X2048) @ (esk90_4 @ X2045 @ X2046 @ X2047 @ X2048)) @ X2047)|(subset @ X2047 @ X2048)|~(subset @ X2048 @ (cartprod @ X2045 @ X2046))|~(subset @ X2047 @ (cartprod @ X2045 @ X2046)))&(~(in @ (kpair @ (esk89_4 @ X2045 @ X2046 @ X2047 @ X2048) @ (esk90_4 @ X2045 @ X2046 @ X2047 @ X2048)) @ X2048)|(subset @ X2047 @ X2048)|~(subset @ X2048 @ (cartprod @ X2045 @ X2046))|~(subset @ X2047 @ (cartprod @ X2045 @ X2046))))))&((subset @ esk93_0 @ (cartprod @ esk91_0 @ esk92_0))&((subset @ esk94_0 @ (cartprod @ esk91_0 @ esk92_0))&((~(in @ X2055 @ esk91_0)|(~(in @ X2056 @ esk92_0)|(~(in @ (kpair @ X2055 @ X2056) @ esk93_0)|(in @ (kpair @ X2055 @ X2056) @ esk94_0))))&((~(in @ X2057 @ esk91_0)|(~(in @ X2058 @ esk92_0)|(~(in @ (kpair @ X2057 @ X2058) @ esk94_0)|(in @ (kpair @ X2057 @ X2058) @ esk93_0))))&((esk93_0)!=(esk94_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_304])])])])])])])).
% 2.30/0.65 thf(c_0_306, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_307, negated_conjecture, (subset @ esk94_0 @ (cartprod @ esk91_0 @ esk92_0)), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_308, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ (kfst @ X2) @ X3)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_309, negated_conjecture, ![X2:$i]:(((in @ X2 @ (cartprod @ esk91_0 @ esk92_0))|~((in @ X2 @ esk94_0)))), inference(spm,[status(thm)],[c_0_306, c_0_307])).
% 2.30/0.65 thf(c_0_310, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ (ksnd @ X2) @ X4)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_311, negated_conjecture, (subset @ esk93_0 @ (cartprod @ esk91_0 @ esk92_0)), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_312, negated_conjecture, ![X2:$i]:(((in @ (kfst @ X2) @ esk91_0)|~((in @ X2 @ esk94_0)))), inference(spm,[status(thm)],[c_0_308, c_0_309])).
% 2.30/0.65 thf(c_0_313, negated_conjecture, ![X3:$i, X2:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_314, negated_conjecture, ![X2:$i]:(((in @ (ksnd @ X2) @ esk92_0)|~((in @ X2 @ esk94_0)))), inference(spm,[status(thm)],[c_0_310, c_0_309])).
% 2.30/0.65 thf(c_0_315, negated_conjecture, ![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_316, negated_conjecture, ![X2:$i]:(((in @ X2 @ (cartprod @ esk91_0 @ esk92_0))|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_306, c_0_311])).
% 2.30/0.65 thf(c_0_317, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ esk93_0)|~((in @ X2 @ esk91_0))|~((in @ X3 @ esk92_0))|~((in @ (kpair @ X2 @ X3) @ esk94_0)))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_318, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ esk91_0)|~((in @ (kpair @ X2 @ X3) @ esk94_0)))), inference(spm,[status(thm)],[c_0_312, c_0_313])).
% 2.30/0.65 thf(c_0_319, negated_conjecture, ![X3:$i, X2:$i]:(((in @ X2 @ esk92_0)|~((in @ (kpair @ X3 @ X2) @ esk94_0)))), inference(spm,[status(thm)],[c_0_314, c_0_315])).
% 2.30/0.65 thf(c_0_320, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((iskpair @ X2)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_321, negated_conjecture, ![X2:$i]:(((in @ (kfst @ X2) @ esk91_0)|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_308, c_0_316])).
% 2.30/0.65 thf(c_0_322, negated_conjecture, ![X2:$i]:(((in @ (ksnd @ X2) @ esk92_0)|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_310, c_0_316])).
% 2.30/0.65 thf(c_0_323, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ esk93_0)|~((in @ (kpair @ X2 @ X3) @ esk94_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_317, c_0_318]), c_0_319])).
% 2.30/0.65 thf(c_0_324, negated_conjecture, ![X2:$i]:((((kpair @ (kfst @ X2) @ (ksnd @ X2))=(X2))|~((iskpair @ X2)))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_325, negated_conjecture, ![X2:$i]:(((iskpair @ X2)|~((in @ X2 @ esk94_0)))), inference(spm,[status(thm)],[c_0_320, c_0_309])).
% 2.30/0.65 thf(c_0_326, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ esk94_0)|~((in @ X2 @ esk91_0))|~((in @ X3 @ esk92_0))|~((in @ (kpair @ X2 @ X3) @ esk93_0)))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_327, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ esk91_0)|~((in @ (kpair @ X2 @ X3) @ esk93_0)))), inference(spm,[status(thm)],[c_0_321, c_0_313])).
% 2.30/0.65 thf(c_0_328, negated_conjecture, ![X3:$i, X2:$i]:(((in @ X2 @ esk92_0)|~((in @ (kpair @ X3 @ X2) @ esk93_0)))), inference(spm,[status(thm)],[c_0_322, c_0_315])).
% 2.30/0.65 thf(c_0_329, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk93_0)|~((in @ X2 @ esk94_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323, c_0_324]), c_0_325])).
% 2.30/0.65 thf(c_0_330, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_331, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ esk94_0)|~((in @ (kpair @ X2 @ X3) @ esk93_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_326, c_0_327]), c_0_328])).
% 2.30/0.65 thf(c_0_332, negated_conjecture, ![X2:$i]:(((iskpair @ X2)|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_320, c_0_316])).
% 2.30/0.65 thf(c_0_333, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk53_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_334, negated_conjecture, ![X2:$i]:(((in @ (esk53_2 @ esk94_0 @ X2) @ esk93_0)|(subset @ esk94_0 @ X2))), inference(spm,[status(thm)],[c_0_329, c_0_330])).
% 2.30/0.65 thf(c_0_335, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk94_0)|~((in @ X2 @ esk93_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331, c_0_324]), c_0_332])).
% 2.30/0.65 thf(c_0_336, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((subset @ X2 @ X3))|~((subset @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_337, negated_conjecture, (subset @ esk94_0 @ esk93_0), inference(spm,[status(thm)],[c_0_333, c_0_334])).
% 2.30/0.65 thf(c_0_338, negated_conjecture, ((esk93_0)!=(esk94_0)), inference(split_conjunct,[status(thm)],[c_0_305])).
% 2.30/0.65 thf(c_0_339, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk94_0)|~((in @ (esk53_2 @ X2 @ esk94_0) @ esk93_0)))), inference(spm,[status(thm)],[c_0_333, c_0_335])).
% 2.30/0.65 thf(c_0_340, negated_conjecture, ~((subset @ esk93_0 @ esk94_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336, c_0_337]), c_0_338])).
% 2.30/0.65 thf(c_0_341, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_339, c_0_330]), c_0_340]), ['proof']).
% 2.30/0.65 % SZS output end CNFRefutation
% 2.30/0.65 % Parsed axioms : 457
% 2.30/0.65 % Removed by relevancy pruning/SinE : 244
% 2.30/0.65 % Initial clauses : 399
% 2.30/0.65 % Removed in clause preprocessing : 25
% 2.30/0.65 % Initial clauses in saturation : 374
% 2.30/0.65 % Processed clauses : 1572
% 2.30/0.65 % ...of these trivial : 16
% 2.30/0.65 % ...subsumed : 982
% 2.30/0.65 % ...remaining for further processing : 574
% 2.30/0.65 % Other redundant clauses eliminated : 29
% 2.30/0.65 % Clauses deleted for lack of memory : 0
% 2.30/0.65 % Backward-subsumed : 2
% 2.30/0.65 % Backward-rewritten : 12
% 2.30/0.65 % Generated clauses : 16450
% 2.30/0.65 % ...of the previous two non-redundant : 13998
% 2.30/0.65 % ...aggressively subsumed : 0
% 2.30/0.65 % Contextual simplify-reflections : 6
% 2.30/0.65 % Paramodulations : 16416
% 2.30/0.65 % Factorizations : 2
% 2.30/0.65 % NegExts : 0
% 2.30/0.65 % Equation resolutions : 32
% 2.30/0.65 % Disequality decompositions : 0
% 2.30/0.65 % Total rewrite steps : 5952
% 2.30/0.65 % ...of those cached : 5731
% 2.30/0.65 % Propositional unsat checks : 0
% 2.30/0.65 % Propositional check models : 0
% 2.30/0.65 % Propositional check unsatisfiable : 0
% 2.30/0.65 % Propositional clauses : 0
% 2.30/0.65 % Propositional clauses after purity: 0
% 2.30/0.65 % Propositional unsat core size : 0
% 2.30/0.65 % Propositional preprocessing time : 0.000
% 2.30/0.65 % Propositional encoding time : 0.000
% 2.30/0.65 % Propositional solver time : 0.000
% 2.30/0.65 % Success case prop preproc time : 0.000
% 2.30/0.65 % Success case prop encoding time : 0.000
% 2.30/0.65 % Success case prop solver time : 0.000
% 2.30/0.65 % Current number of processed clauses : 550
% 2.30/0.65 % Positive orientable unit clauses : 227
% 2.30/0.65 % Positive unorientable unit clauses: 0
% 2.30/0.65 % Negative unit clauses : 5
% 2.30/0.65 % Non-unit-clauses : 318
% 2.30/0.65 % Current number of unprocessed clauses: 12693
% 2.30/0.65 % ...number of literals in the above : 41446
% 2.30/0.65 % Current number of archived formulas : 0
% 2.30/0.65 % Current number of archived clauses : 14
% 2.30/0.65 % Clause-clause subsumption calls (NU) : 26451
% 2.30/0.65 % Rec. Clause-clause subsumption calls : 16672
% 2.30/0.65 % Non-unit clause-clause subsumptions : 777
% 2.30/0.65 % Unit Clause-clause subsumption calls : 1116
% 2.30/0.65 % Rewrite failures with RHS unbound : 0
% 2.30/0.65 % BW rewrite match attempts : 970
% 2.30/0.65 % BW rewrite match successes : 11
% 2.30/0.65 % Condensation attempts : 0
% 2.30/0.65 % Condensation successes : 0
% 2.30/0.65 % Termbank termtop insertions : 296079
% 2.30/0.65 % Search garbage collected termcells : 22369
% 2.30/0.65
% 2.30/0.65 % -------------------------------------------------
% 2.30/0.65 % User time : 0.204 s
% 2.30/0.65 % System time : 0.015 s
% 2.30/0.65 % Total time : 0.220 s
% 2.30/0.65 % Maximum resident set size: 9236 pages
% 2.30/0.65
% 2.30/0.65 % -------------------------------------------------
% 2.30/0.65 % User time : 0.211 s
% 2.30/0.65 % System time : 0.021 s
% 2.30/0.65 % Total time : 0.232 s
% 2.30/0.65 % Maximum resident set size: 5376 pages
% 2.30/0.65 % E exiting
%------------------------------------------------------------------------------