%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU718^1 : 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 : n005.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 08:25:20 AM UTC 2026
% Result : Theorem 0.60s 0.41s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU718^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n005.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Tue Sep 29 14:14:46 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running higher-order theorem proving
% 0.21/0.28 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.frHPgYUd33/E---3.1_1728363.p
% 0.60/0.41 % Version: 3.5.1-ho
% 0.60/0.41 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.60/0.41 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.41 % Starting ehoh_best5 with 300s (1) cores
% 0.60/0.41 % Starting almost_fo_3_lam with 300s (1) cores
% 0.60/0.41 % Starting new_bool_5 with 300s (1) cores
% 0.60/0.41 % Starting pre_casc_3 with 300s (1) cores
% 0.60/0.41 % Starting ho_unfolding_8 with 300s (1) cores
% 0.60/0.41 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.60/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.60/0.41 % Starting new_ho_5 with 300s (1) cores
% 0.60/0.41 % new_ho_10_cnf2 with pid 1728381 completed with status 0
% 0.60/0.41 % Result found by new_ho_10_cnf2
% 0.60/0.41 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.60/0.41 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.41 % Starting ehoh_best5 with 300s (1) cores
% 0.60/0.41 % Starting almost_fo_3_lam with 300s (1) cores
% 0.60/0.41 % Starting new_bool_5 with 300s (1) cores
% 0.60/0.41 % Starting pre_casc_3 with 300s (1) cores
% 0.60/0.41 % Starting ho_unfolding_8 with 300s (1) cores
% 0.60/0.41 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.60/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.60/0.41 % No SInE strategy applied
% 0.60/0.41 % Search class: HGHSM-FSLM32-MHFMMSBN
% 0.60/0.41 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.60/0.41 % Starting SubtermCWHack with 31s (1) cores
% 0.60/0.41 % SubtermCWHack with pid 1728393 completed with status 0
% 0.60/0.41 % Result found by SubtermCWHack
% 0.60/0.41 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.60/0.41 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.41 % Starting ehoh_best5 with 300s (1) cores
% 0.60/0.41 % Starting almost_fo_3_lam with 300s (1) cores
% 0.60/0.41 % Starting new_bool_5 with 300s (1) cores
% 0.60/0.41 % Starting pre_casc_3 with 300s (1) cores
% 0.60/0.41 % Starting ho_unfolding_8 with 300s (1) cores
% 0.60/0.41 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.60/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.60/0.41 % No SInE strategy applied
% 0.60/0.41 % Search class: HGHSM-FSLM32-MHFMMSBN
% 0.60/0.41 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.60/0.41 % Starting SubtermCWHack with 31s (1) cores
% 0.60/0.41 % Preprocessing time : 0.005 s
% 0.60/0.41
% 0.60/0.41 % Proof found!
% 0.60/0.41 % SZS status Theorem
% 0.60/0.41 % SZS output start CNFRefutation
% 0.60/0.41 thf(decl_23, type, in: $i > $i > $o).
% 0.60/0.41 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.60/0.41 thf(decl_25, type, setextAx: $o).
% 0.60/0.41 thf(decl_26, type, emptyset: $i).
% 0.60/0.41 thf(decl_27, type, emptysetAx: $o).
% 0.60/0.41 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.60/0.41 thf(decl_29, type, setadjoinAx: $o).
% 0.60/0.41 thf(decl_30, type, powerset: $i > $i).
% 0.60/0.41 thf(decl_31, type, powersetAx: $o).
% 0.60/0.41 thf(decl_32, type, setunion: $i > $i).
% 0.60/0.41 thf(decl_33, type, setunionAx: $o).
% 0.60/0.41 thf(decl_34, type, omega: $i).
% 0.60/0.41 thf(decl_35, type, omega0Ax: $o).
% 0.60/0.41 thf(decl_36, type, omegaSAx: $o).
% 0.60/0.41 thf(decl_37, type, omegaIndAx: $o).
% 0.60/0.41 thf(decl_38, type, replAx: $o).
% 0.60/0.41 thf(decl_39, type, foundationAx: $o).
% 0.60/0.41 thf(decl_40, type, wellorderingAx: $o).
% 0.60/0.41 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.60/0.41 thf(decl_42, type, descrp: $o).
% 0.60/0.41 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_44, type, dsetconstrI: $o).
% 0.60/0.41 thf(decl_45, type, dsetconstrEL: $o).
% 0.60/0.41 thf(decl_46, type, dsetconstrER: $o).
% 0.60/0.41 thf(decl_47, type, exuE1: $o).
% 0.60/0.41 thf(decl_48, type, prop2set: $o > $i).
% 0.60/0.41 thf(decl_49, type, prop2setE: $o).
% 0.60/0.41 thf(decl_50, type, emptysetE: $o).
% 0.60/0.41 thf(decl_51, type, emptysetimpfalse: $o).
% 0.60/0.41 thf(decl_52, type, notinemptyset: $o).
% 0.60/0.41 thf(decl_53, type, exuE3e: $o).
% 0.60/0.41 thf(decl_54, type, setext: $o).
% 0.60/0.41 thf(decl_55, type, emptyI: $o).
% 0.60/0.41 thf(decl_56, type, noeltsimpempty: $o).
% 0.60/0.41 thf(decl_57, type, setbeta: $o).
% 0.60/0.41 thf(decl_58, type, nonempty: $i > $o).
% 0.60/0.41 thf(decl_59, type, nonemptyE1: $o).
% 0.60/0.41 thf(decl_60, type, nonemptyI: $o).
% 0.60/0.41 thf(decl_61, type, nonemptyI1: $o).
% 0.60/0.41 thf(decl_62, type, setadjoinIL: $o).
% 0.60/0.41 thf(decl_63, type, emptyinunitempty: $o).
% 0.60/0.41 thf(decl_64, type, setadjoinIR: $o).
% 0.60/0.41 thf(decl_65, type, setadjoinE: $o).
% 0.60/0.41 thf(decl_66, type, setadjoinOr: $o).
% 0.60/0.41 thf(decl_67, type, setoftrueEq: $o).
% 0.60/0.41 thf(decl_68, type, powersetI: $o).
% 0.60/0.41 thf(decl_69, type, emptyinPowerset: $o).
% 0.60/0.41 thf(decl_70, type, emptyInPowerset: $o).
% 0.60/0.41 thf(decl_71, type, powersetE: $o).
% 0.60/0.41 thf(decl_72, type, setunionI: $o).
% 0.60/0.41 thf(decl_73, type, setunionE: $o).
% 0.60/0.41 thf(decl_74, type, subPowSU: $o).
% 0.60/0.41 thf(decl_75, type, exuE2: $o).
% 0.60/0.41 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.60/0.41 thf(decl_77, type, uniqinunit: $o).
% 0.60/0.41 thf(decl_78, type, notinsingleton: $o).
% 0.60/0.41 thf(decl_79, type, eqinunit: $o).
% 0.60/0.41 thf(decl_80, type, singletonsswitch: $o).
% 0.60/0.41 thf(decl_81, type, upairsetE: $o).
% 0.60/0.41 thf(decl_82, type, upairsetIL: $o).
% 0.60/0.41 thf(decl_83, type, upairsetIR: $o).
% 0.60/0.41 thf(decl_84, type, emptyE1: $o).
% 0.60/0.41 thf(decl_85, type, vacuousDall: $o).
% 0.60/0.41 thf(decl_86, type, quantDeMorgan1: $o).
% 0.60/0.41 thf(decl_87, type, quantDeMorgan2: $o).
% 0.60/0.41 thf(decl_88, type, quantDeMorgan3: $o).
% 0.60/0.41 thf(decl_89, type, quantDeMorgan4: $o).
% 0.60/0.41 thf(decl_90, type, prop2setI: $o).
% 0.60/0.41 thf(decl_91, type, set2prop: $i > $o).
% 0.60/0.41 thf(decl_92, type, prop2set2propI: $o).
% 0.60/0.41 thf(decl_93, type, notdexE: $o).
% 0.60/0.41 thf(decl_94, type, notdallE: $o).
% 0.60/0.41 thf(decl_95, type, exuI1: $o).
% 0.60/0.41 thf(decl_96, type, exuI3: $o).
% 0.60/0.41 thf(decl_97, type, exuI2: $o).
% 0.60/0.41 thf(decl_98, type, inCongP: $o).
% 0.60/0.41 thf(decl_99, type, in__Cong: $o).
% 0.60/0.41 thf(decl_100, type, exuE3u: $o).
% 0.60/0.41 thf(decl_101, type, exu__Cong: $o).
% 0.60/0.41 thf(decl_102, type, emptyset__Cong: $o).
% 0.60/0.41 thf(decl_103, type, setadjoin__Cong: $o).
% 0.60/0.41 thf(decl_104, type, powerset__Cong: $o).
% 0.60/0.41 thf(decl_105, type, setunion__Cong: $o).
% 0.60/0.41 thf(decl_106, type, omega__Cong: $o).
% 0.60/0.41 thf(decl_107, type, exuEu: $o).
% 0.60/0.41 thf(decl_108, type, descr__Cong: $o).
% 0.60/0.41 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.60/0.41 thf(decl_110, type, subset: $i > $i > $o).
% 0.60/0.41 thf(decl_113, type, subsetI1: $o).
% 0.60/0.41 thf(decl_114, type, eqimpsubset2: $o).
% 0.60/0.41 thf(decl_115, type, eqimpsubset1: $o).
% 0.60/0.41 thf(decl_116, type, subsetI2: $o).
% 0.60/0.41 thf(decl_117, type, emptysetsubset: $o).
% 0.60/0.41 thf(decl_118, type, subsetE: $o).
% 0.60/0.41 thf(decl_119, type, subsetE2: $o).
% 0.60/0.41 thf(decl_120, type, notsubsetI: $o).
% 0.60/0.41 thf(decl_121, type, notequalI1: $o).
% 0.60/0.41 thf(decl_122, type, notequalI2: $o).
% 0.60/0.41 thf(decl_123, type, subsetRefl: $o).
% 0.60/0.41 thf(decl_124, type, subsetTrans: $o).
% 0.60/0.41 thf(decl_125, type, setadjoinSub: $o).
% 0.60/0.41 thf(decl_126, type, setadjoinSub2: $o).
% 0.60/0.41 thf(decl_127, type, subset2powerset: $o).
% 0.60/0.41 thf(decl_128, type, setextsub: $o).
% 0.60/0.41 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.60/0.41 thf(decl_130, type, powersetI1: $o).
% 0.60/0.41 thf(decl_131, type, powersetE1: $o).
% 0.60/0.41 thf(decl_132, type, inPowerset: $o).
% 0.60/0.41 thf(decl_133, type, powersetsubset: $o).
% 0.60/0.41 thf(decl_134, type, sepInPowerset: $o).
% 0.60/0.41 thf(decl_135, type, sepSubset: $o).
% 0.60/0.41 thf(decl_136, type, binunion: $i > $i > $i).
% 0.60/0.41 thf(decl_137, type, binunionIL: $o).
% 0.60/0.41 thf(decl_138, type, upairset2IR: $o).
% 0.60/0.41 thf(decl_139, type, binunionIR: $o).
% 0.60/0.41 thf(decl_140, type, binunionEcases: $o).
% 0.60/0.41 thf(decl_141, type, binunionE: $o).
% 0.60/0.41 thf(decl_142, type, binunionLsub: $o).
% 0.60/0.41 thf(decl_143, type, binunionRsub: $o).
% 0.60/0.41 thf(decl_144, type, binintersect: $i > $i > $i).
% 0.60/0.41 thf(decl_145, type, binintersectI: $o).
% 0.60/0.41 thf(decl_146, type, binintersectSubset5: $o).
% 0.60/0.41 thf(decl_147, type, binintersectEL: $o).
% 0.60/0.41 thf(decl_148, type, binintersectLsub: $o).
% 0.60/0.41 thf(decl_149, type, binintersectSubset2: $o).
% 0.60/0.41 thf(decl_150, type, binintersectSubset3: $o).
% 0.60/0.41 thf(decl_151, type, binintersectER: $o).
% 0.60/0.41 thf(decl_152, type, disjointsetsI1: $o).
% 0.60/0.41 thf(decl_153, type, binintersectRsub: $o).
% 0.60/0.41 thf(decl_154, type, binintersectSubset4: $o).
% 0.60/0.41 thf(decl_155, type, binintersectSubset1: $o).
% 0.60/0.41 thf(decl_156, type, bs114d: $o).
% 0.60/0.41 thf(decl_158, type, setminus: $i > $i > $i).
% 0.60/0.41 thf(decl_159, type, setminusI: $o).
% 0.60/0.41 thf(decl_160, type, setminusEL: $o).
% 0.60/0.41 thf(decl_161, type, setminusER: $o).
% 0.60/0.41 thf(decl_162, type, setminusSubset2: $o).
% 0.60/0.41 thf(decl_163, type, setminusERneg: $o).
% 0.60/0.41 thf(decl_164, type, setminusELneg: $o).
% 0.60/0.41 thf(decl_165, type, setminusILneg: $o).
% 0.60/0.41 thf(decl_166, type, setminusIRneg: $o).
% 0.60/0.41 thf(decl_167, type, setminusLsub: $o).
% 0.60/0.41 thf(decl_168, type, setminusSubset1: $o).
% 0.60/0.41 thf(decl_169, type, symdiff: $i > $i > $i).
% 0.60/0.41 thf(decl_170, type, symdiffE: $o).
% 0.60/0.41 thf(decl_171, type, symdiffI1: $o).
% 0.60/0.41 thf(decl_172, type, symdiffI2: $o).
% 0.60/0.41 thf(decl_173, type, symdiffIneg1: $o).
% 0.60/0.41 thf(decl_174, type, symdiffIneg2: $o).
% 0.60/0.41 thf(decl_175, type, iskpair: $i > $o).
% 0.60/0.41 thf(decl_176, type, secondinupair: $o).
% 0.60/0.41 thf(decl_177, type, setukpairIL: $o).
% 0.60/0.41 thf(decl_178, type, setukpairIR: $o).
% 0.60/0.41 thf(decl_179, type, kpairiskpair: $o).
% 0.60/0.41 thf(decl_180, type, kpair: $i > $i > $i).
% 0.60/0.41 thf(decl_181, type, kpairp: $o).
% 0.60/0.41 thf(decl_182, type, cartprod: $i > $i > $i).
% 0.60/0.41 thf(decl_183, type, singletonsubset: $o).
% 0.60/0.41 thf(decl_184, type, singletoninpowerset: $o).
% 0.60/0.41 thf(decl_185, type, singletoninpowunion: $o).
% 0.60/0.41 thf(decl_186, type, upairset2E: $o).
% 0.60/0.41 thf(decl_187, type, upairsubunion: $o).
% 0.60/0.41 thf(decl_188, type, upairinpowunion: $o).
% 0.60/0.41 thf(decl_189, type, ubforcartprodlem1: $o).
% 0.60/0.41 thf(decl_190, type, ubforcartprodlem2: $o).
% 0.60/0.41 thf(decl_191, type, ubforcartprodlem3: $o).
% 0.60/0.41 thf(decl_192, type, cartprodpairin: $o).
% 0.60/0.41 thf(decl_193, type, cartprodmempair1: $o).
% 0.60/0.41 thf(decl_194, type, cartprodmempair: $o).
% 0.60/0.41 thf(decl_195, type, setunionE2: $o).
% 0.60/0.41 thf(decl_196, type, setunionsingleton1: $o).
% 0.60/0.41 thf(decl_197, type, setunionsingleton2: $o).
% 0.60/0.41 thf(decl_198, type, setunionsingleton: $o).
% 0.60/0.41 thf(decl_199, type, singleton: $i > $o).
% 0.60/0.41 thf(decl_200, type, singletonprop: $o).
% 0.60/0.41 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 0.60/0.41 thf(decl_202, type, ex1E1: $o).
% 0.60/0.41 thf(decl_203, type, ex1I: $o).
% 0.60/0.41 thf(decl_204, type, ex1I2: $o).
% 0.60/0.41 thf(decl_205, type, singletonsuniq: $o).
% 0.60/0.41 thf(decl_210, type, setukpairinjL1: $o).
% 0.60/0.41 thf(decl_211, type, kfstsingleton: $o).
% 0.60/0.41 thf(decl_212, type, theprop: $o).
% 0.60/0.41 thf(decl_213, type, kfst: $i > $i).
% 0.60/0.41 thf(decl_214, type, kfstpairEq: $o).
% 0.60/0.41 thf(decl_215, type, cartprodfstin: $o).
% 0.60/0.41 thf(decl_216, type, setukpairinjL2: $o).
% 0.60/0.41 thf(decl_217, type, setukpairinjL: $o).
% 0.60/0.41 thf(decl_218, type, setukpairinjR11: $o).
% 0.60/0.41 thf(decl_219, type, setukpairinjR12: $o).
% 0.60/0.41 thf(decl_220, type, setukpairinjR1: $o).
% 0.60/0.41 thf(decl_221, type, upairequniteq: $o).
% 0.60/0.41 thf(decl_222, type, setukpairinjR2: $o).
% 0.60/0.41 thf(decl_223, type, setukpairinjR: $o).
% 0.60/0.41 thf(decl_224, type, ksndsingleton: $o).
% 0.60/0.41 thf(decl_225, type, ksnd: $i > $i).
% 0.60/0.41 thf(decl_226, type, ksndpairEq: $o).
% 0.60/0.41 thf(decl_227, type, kpairsurjEq: $o).
% 0.60/0.41 thf(decl_228, type, cartprodsndin: $o).
% 0.60/0.41 thf(decl_229, type, cartprodpairmemEL: $o).
% 0.60/0.41 thf(decl_230, type, cartprodpairmemER: $o).
% 0.60/0.41 thf(decl_231, type, cartprodmempaircEq: $o).
% 0.60/0.41 thf(decl_232, type, cartprodfstpairEq: $o).
% 0.60/0.41 thf(decl_233, type, cartprodsndpairEq: $o).
% 0.60/0.41 thf(decl_234, type, cartprodpairsurjEq: $o).
% 0.60/0.41 thf(decl_235, type, breln: $i > $i > $i > $o).
% 0.60/0.41 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 0.60/0.41 thf(decl_237, type, dpsetconstrI: $o).
% 0.60/0.41 thf(decl_238, type, dpsetconstrSub: $o).
% 0.60/0.41 thf(decl_239, type, setOfPairsIsBReln: $o).
% 0.60/0.41 thf(decl_240, type, dpsetconstrERa: $o).
% 0.60/0.41 thf(decl_241, type, dpsetconstrEL1: $o).
% 0.60/0.41 thf(decl_242, type, dpsetconstrEL2: $o).
% 0.60/0.41 thf(decl_243, type, dpsetconstrER: $o).
% 0.60/0.41 thf(decl_244, type, func: $i > $i > $i > $o).
% 0.60/0.41 thf(decl_245, type, funcSet: $i > $i > $i).
% 0.60/0.41 thf(decl_246, type, funcImageSingleton: $o).
% 0.60/0.41 thf(decl_247, type, apProp: $o).
% 0.60/0.41 thf(decl_248, type, ap: $i > $i > $i > $i > $i).
% 0.60/0.41 thf(decl_249, type, app: $o).
% 0.60/0.41 thf(decl_250, type, infuncsetfunc: $o).
% 0.60/0.41 thf(decl_251, type, ap2p: $o).
% 0.60/0.41 thf(decl_252, type, funcinfuncset: $o).
% 0.60/0.41 thf(decl_253, type, lamProp: $o).
% 0.60/0.41 thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
% 0.60/0.41 thf(decl_255, type, lamp: $o).
% 0.60/0.41 thf(decl_256, type, lam2p: $o).
% 0.60/0.41 thf(decl_257, type, brelnall1: $o).
% 0.60/0.41 thf(decl_258, type, brelnall2: $o).
% 0.60/0.41 thf(decl_259, type, ex1E2: $o).
% 0.60/0.41 thf(decl_260, type, funcGraphProp1: $o).
% 0.60/0.41 thf(decl_261, type, funcGraphProp3: $o).
% 0.60/0.41 thf(decl_262, type, funcGraphProp2: $o).
% 0.60/0.41 thf(decl_263, type, funcextLem: $o).
% 0.60/0.41 thf(decl_264, type, funcGraphProp4: $o).
% 0.60/0.41 thf(decl_265, type, subbreln: $o).
% 0.60/0.41 thf(decl_266, type, eqbreln: $o).
% 0.60/0.41 thf(decl_267, type, funcext: $o).
% 0.60/0.41 thf(decl_268, type, funcext2: $o).
% 0.60/0.41 thf(decl_269, type, ap2apEq1: $o).
% 0.60/0.41 thf(decl_270, type, ap2apEq2: $o).
% 0.60/0.41 thf(decl_271, type, beta1: $o).
% 0.60/0.41 thf(decl_272, type, eta1: $o).
% 0.60/0.41 thf(decl_273, type, lam2lamEq: $o).
% 0.60/0.41 thf(decl_274, type, beta2: $o).
% 0.60/0.41 thf(decl_275, type, eta2: $o).
% 0.60/0.41 thf(decl_276, type, iffalseProp1: $o).
% 0.60/0.41 thf(decl_277, type, iffalseProp2: $o).
% 0.60/0.41 thf(decl_278, type, iftrueProp1: $o).
% 0.60/0.41 thf(decl_279, type, iftrueProp2: $o).
% 0.60/0.41 thf(decl_280, type, ifSingleton: $o).
% 0.60/0.41 thf(decl_281, type, if: $i > $o > $i > $i > $i).
% 0.60/0.41 thf(decl_282, type, ifp: $o).
% 0.60/0.41 thf(decl_283, type, theeq: $o).
% 0.60/0.41 thf(decl_284, type, iftrue: $o).
% 0.60/0.41 thf(decl_285, type, iffalse: $o).
% 0.60/0.41 thf(decl_286, type, iftrueorfalse: $o).
% 0.60/0.41 thf(decl_287, type, binintersectT_lem: $o).
% 0.60/0.41 thf(decl_288, type, binunionT_lem: $o).
% 0.60/0.41 thf(decl_289, type, powersetT_lem: $o).
% 0.60/0.41 thf(decl_290, type, setminusT_lem: $o).
% 0.60/0.41 thf(decl_291, type, complementT_lem: $o).
% 0.60/0.41 thf(decl_292, type, setextT: $o).
% 0.60/0.41 thf(decl_293, type, subsetTI: $o).
% 0.60/0.41 thf(decl_294, type, powersetTI1: $o).
% 0.60/0.41 thf(decl_295, type, epred1_0: $o).
% 0.60/0.41 thf(decl_296, type, esk1_2: $i > $i > $i).
% 0.60/0.41 thf(decl_297, type, esk2_2: $i > $i > $i).
% 0.60/0.41 thf(decl_298, type, esk3_2: $i > $i > $i).
% 0.60/0.41 thf(decl_299, type, esk4_1: $i > $i).
% 0.60/0.41 thf(decl_300, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.60/0.41 thf(decl_301, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.60/0.41 thf(decl_302, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.60/0.41 thf(decl_303, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.60/0.41 thf(decl_304, type, esk9_1: $i > $i).
% 0.60/0.41 thf(decl_305, type, esk10_2: ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_306, type, esk11_2: ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_307, type, esk12_1: ($i > $o) > $i).
% 0.60/0.41 thf(decl_308, type, esk13_2: ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_309, type, esk14_1: ($i > $o) > $i).
% 0.60/0.41 thf(decl_310, type, esk15_2: $i > $i > $i).
% 0.60/0.41 thf(decl_311, type, esk16_2: $i > $i > $i).
% 0.60/0.41 thf(decl_312, type, esk17_1: $i > $i).
% 0.60/0.41 thf(decl_313, type, esk18_1: $i > $i).
% 0.60/0.41 thf(decl_314, type, esk19_1: $i > $i).
% 0.60/0.41 thf(decl_315, type, esk20_2: $i > $i > $i).
% 0.60/0.41 thf(decl_316, type, esk21_3: $i > $i > $o > $i).
% 0.60/0.41 thf(decl_317, type, esk22_2: ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_318, type, esk23_1: ($i > $o) > $i).
% 0.60/0.41 thf(decl_319, type, esk24_1: $i > $i).
% 0.60/0.41 thf(decl_320, type, esk25_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_321, type, esk26_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_322, type, esk27_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_323, type, esk28_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_324, type, esk29_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_325, type, esk30_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_326, type, esk31_2: ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_327, type, esk32_1: ($i > $o) > $i).
% 0.60/0.41 thf(decl_328, type, esk33_1: ($i > $o) > $i).
% 0.60/0.41 thf(decl_329, type, esk34_1: ($i > $o) > $i).
% 0.60/0.41 thf(decl_330, type, esk35_1: ($i > $o) > $i).
% 0.60/0.41 thf(decl_331, type, esk36_2: ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_332, type, esk37_1: ($i > $o) > $i).
% 0.60/0.41 thf(decl_333, type, esk38_2: ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_334, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.60/0.41 thf(decl_335, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.60/0.41 thf(decl_336, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_337, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.60/0.41 thf(decl_338, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_339, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.60/0.41 thf(decl_340, type, esk45_2: ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_341, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.60/0.41 thf(decl_342, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.60/0.41 thf(decl_343, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_344, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_345, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.60/0.41 thf(decl_346, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.60/0.41 thf(decl_347, type, esk52_2: $i > $i > $i).
% 0.60/0.41 thf(decl_348, type, esk53_2: $i > $i > $i).
% 0.60/0.41 thf(decl_349, type, esk54_2: $i > $i > $i).
% 0.60/0.41 thf(decl_350, type, esk55_3: $i > $i > $i > $i).
% 0.60/0.41 thf(decl_351, type, esk56_3: $i > $i > $i > $i).
% 0.60/0.41 thf(decl_352, type, esk57_2: $i > $i > $i).
% 0.60/0.41 thf(decl_353, type, esk58_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_354, type, esk59_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_355, type, esk60_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_356, type, esk61_3: $i > ($i > $o) > $i > $i).
% 0.60/0.41 thf(decl_357, type, esk62_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_358, type, esk63_2: $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_359, type, esk64_3: $i > $i > ($i > $i) > $i).
% 0.60/0.41 thf(decl_360, type, esk65_3: $i > $i > ($i > $i) > $i).
% 0.60/0.41 thf(decl_361, type, esk66_3: $i > $i > ($i > $i) > $i).
% 0.60/0.41 thf(decl_362, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_363, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_364, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_365, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
% 0.60/0.41 thf(decl_366, type, esk71_4: $i > $i > $i > $i > $i).
% 0.60/0.41 thf(decl_367, type, esk72_4: $i > $i > $i > $i > $i).
% 0.60/0.41 thf(decl_368, type, esk73_4: $i > $i > $i > $i > $i).
% 0.60/0.41 thf(decl_369, type, esk74_4: $i > $i > $i > $i > $i).
% 0.60/0.41 thf(decl_370, type, esk75_4: $i > $i > $i > $i > $i).
% 0.60/0.41 thf(decl_371, type, esk76_4: $i > $i > $i > $i > $i).
% 0.60/0.41 thf(decl_372, type, esk77_4: $i > $i > $i > $i > $i).
% 0.60/0.41 thf(decl_373, type, esk78_4: $i > $i > $i > $i > $i).
% 0.60/0.41 thf(decl_374, type, esk79_4: $i > $i > $i > $i > $i).
% 0.60/0.41 thf(decl_375, type, esk80_3: $i > $i > ($i > $i) > $i).
% 0.60/0.41 thf(decl_376, type, esk81_3: $i > $i > ($i > $i) > $i).
% 0.60/0.41 thf(decl_377, type, esk82_3: $i > $i > ($i > $i) > $i).
% 0.60/0.41 thf(decl_378, type, esk83_3: $i > $i > $i > $i).
% 0.60/0.41 thf(decl_379, type, esk84_3: $i > $i > $i > $i).
% 0.60/0.41 thf(decl_380, type, esk85_3: $i > $i > $i > $i).
% 0.60/0.41 thf(decl_381, type, esk86_3: $i > $i > $i > $i).
% 0.60/0.41 thf(decl_382, type, esk87_0: $i).
% 0.60/0.41 thf(decl_383, type, esk88_0: $i).
% 0.60/0.41 thf(decl_384, type, esk89_0: $i).
% 0.60/0.41 thf(decl_385, type, esk90_0: $i).
% 0.60/0.41 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', replAx)).
% 0.60/0.41 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', exu)).
% 0.60/0.41 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', descrp)).
% 0.60/0.41 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', exuE1)).
% 0.60/0.41 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', exuE3e)).
% 0.60/0.41 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', nonempty)).
% 0.60/0.41 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', nonemptyI)).
% 0.60/0.41 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', exuE2)).
% 0.60/0.41 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.frHPgYUd33/E---3.1_1728363.p', exuI1)).
% 0.60/0.41 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', exuI3)).
% 0.60/0.41 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', exuI2)).
% 0.60/0.41 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.frHPgYUd33/E---3.1_1728363.p', exuE3u)).
% 0.60/0.41 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', exu__Cong)).
% 0.60/0.41 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', exuEu)).
% 0.60/0.41 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', descr__Cong)).
% 0.60/0.41 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ex1E1)).
% 0.60/0.41 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ex1)).
% 0.60/0.41 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.frHPgYUd33/E---3.1_1728363.p', ex1I)).
% 0.60/0.41 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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ex1I2)).
% 0.60/0.41 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setOfPairsIsBReln)).
% 0.60/0.41 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', breln)).
% 0.60/0.41 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.frHPgYUd33/E---3.1_1728363.p', ex1E2)).
% 0.60/0.41 thf(powersetTE1, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', powersetTE1)).
% 0.60/0.41 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', dsetconstrI)).
% 0.60/0.41 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', dsetconstrEL)).
% 0.60/0.41 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', dsetconstrER)).
% 0.60/0.41 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setbeta)).
% 0.60/0.41 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', nonemptyE1)).
% 0.60/0.41 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', nonemptyI1)).
% 0.60/0.41 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setoftrueEq)).
% 0.60/0.41 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', nonemptyImpWitness)).
% 0.60/0.41 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.frHPgYUd33/E---3.1_1728363.p', emptyE1)).
% 0.60/0.41 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', dsetconstr__Cong)).
% 0.60/0.41 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', sepInPowerset)).
% 0.60/0.41 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', sepSubset)).
% 0.60/0.41 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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', singletonprop)).
% 0.60/0.41 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', kfstsingleton)).
% 0.60/0.41 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ksndsingleton)).
% 0.60/0.41 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', dpsetconstrI)).
% 0.60/0.41 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', dpsetconstrSub)).
% 0.60/0.41 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', dpsetconstrERa)).
% 0.60/0.41 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', dpsetconstrEL1)).
% 0.60/0.41 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', dpsetconstrEL2)).
% 0.60/0.41 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', dpsetconstrER)).
% 0.60/0.41 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', funcImageSingleton)).
% 0.60/0.41 thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', apProp)).
% 0.60/0.41 thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', lamProp)).
% 0.60/0.41 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', lamp)).
% 0.60/0.41 thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', lam2p)).
% 0.60/0.41 thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', brelnall1)).
% 0.60/0.41 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', brelnall2)).
% 0.60/0.41 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subbreln)).
% 0.60/0.41 thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', eqbreln)).
% 0.60/0.41 thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', beta1)).
% 0.60/0.41 thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', eta1)).
% 0.60/0.41 thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', lam2lamEq)).
% 0.60/0.41 thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', beta2)).
% 0.60/0.41 thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', eta2)).
% 0.60/0.41 thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X39))&(((X14)=(X2)))))|(((~((X39)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', iffalseProp1)).
% 0.60/0.41 thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X40))&(((X14)=(X2)))))|(((~((X40)))&(((X14)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', iffalseProp2)).
% 0.60/0.41 thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X41))&(((X14)=(X2)))))|(((~((X41)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', iftrueProp1)).
% 0.60/0.41 thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X42))&(((X14)=(X2)))))|(((~((X42)))&(((X14)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', iftrueProp2)).
% 0.60/0.41 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X43))&(((X14)=(X2)))))|(((~((X43)))&(((X14)=(X3))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ifSingleton)).
% 0.60/0.41 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setextAx)).
% 0.60/0.41 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', emptysetAx)).
% 0.60/0.41 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setadjoinAx)).
% 0.60/0.41 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', powersetAx)).
% 0.60/0.41 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setunionAx)).
% 0.60/0.41 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', omega0Ax)).
% 0.60/0.41 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', omegaSAx)).
% 0.60/0.41 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.frHPgYUd33/E---3.1_1728363.p', omegaIndAx)).
% 0.60/0.41 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.frHPgYUd33/E---3.1_1728363.p', foundationAx)).
% 0.60/0.41 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', wellorderingAx)).
% 0.60/0.41 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', prop2setE)).
% 0.60/0.41 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', emptysetE)).
% 0.60/0.41 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', emptysetimpfalse)).
% 0.60/0.41 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', notinemptyset)).
% 0.60/0.41 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.frHPgYUd33/E---3.1_1728363.p', setext)).
% 0.60/0.41 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', emptyI)).
% 0.60/0.41 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', noeltsimpempty)).
% 0.60/0.41 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setadjoinIL)).
% 0.60/0.41 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', emptyinunitempty)).
% 0.60/0.41 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setadjoinIR)).
% 0.60/0.41 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setadjoinE)).
% 0.60/0.41 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setadjoinOr)).
% 0.60/0.41 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', powersetI)).
% 0.60/0.41 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', emptyinPowerset)).
% 0.60/0.41 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', emptyInPowerset)).
% 0.60/0.41 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', powersetE)).
% 0.60/0.41 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setunionI)).
% 0.60/0.41 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setunionE)).
% 0.60/0.41 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subPowSU)).
% 0.60/0.41 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', uniqinunit)).
% 0.60/0.41 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', notinsingleton)).
% 0.60/0.41 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', eqinunit)).
% 0.60/0.41 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', singletonsswitch)).
% 0.60/0.41 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', upairsetE)).
% 0.60/0.41 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', upairsetIL)).
% 0.60/0.41 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', upairsetIR)).
% 0.60/0.41 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', vacuousDall)).
% 0.60/0.41 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', quantDeMorgan1)).
% 0.60/0.41 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', quantDeMorgan2)).
% 0.60/0.41 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', quantDeMorgan3)).
% 0.60/0.41 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', quantDeMorgan4)).
% 0.60/0.41 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', prop2setI)).
% 0.60/0.41 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', prop2set2propI)).
% 0.60/0.41 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', notdexE)).
% 0.60/0.41 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', notdallE)).
% 0.60/0.41 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', inCongP)).
% 0.60/0.41 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', in__Cong)).
% 0.60/0.41 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', emptyset__Cong)).
% 0.60/0.41 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setadjoin__Cong)).
% 0.60/0.41 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', powerset__Cong)).
% 0.60/0.41 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setunion__Cong)).
% 0.60/0.41 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', omega__Cong)).
% 0.60/0.41 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subsetI1)).
% 0.60/0.41 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', eqimpsubset2)).
% 0.60/0.41 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', eqimpsubset1)).
% 0.60/0.41 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subsetI2)).
% 0.60/0.41 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', emptysetsubset)).
% 0.60/0.41 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subsetE)).
% 0.60/0.41 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subsetE2)).
% 0.60/0.41 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', notsubsetI)).
% 0.60/0.41 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', notequalI1)).
% 0.60/0.41 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', notequalI2)).
% 0.60/0.41 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subsetRefl)).
% 0.60/0.41 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subsetTrans)).
% 0.60/0.41 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setadjoinSub)).
% 0.60/0.41 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setadjoinSub2)).
% 0.60/0.41 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subset2powerset)).
% 0.60/0.41 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setextsub)).
% 0.60/0.41 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subsetemptysetimpeq)).
% 0.60/0.41 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', powersetI1)).
% 0.60/0.41 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', powersetE1)).
% 0.60/0.41 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', inPowerset)).
% 0.60/0.41 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', powersetsubset)).
% 0.60/0.41 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binunionIL)).
% 0.60/0.41 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', upairset2IR)).
% 0.60/0.41 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binunionIR)).
% 0.60/0.41 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binunionEcases)).
% 0.60/0.41 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binunionE)).
% 0.60/0.41 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binunionLsub)).
% 0.60/0.41 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binunionRsub)).
% 0.60/0.41 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectI)).
% 0.60/0.41 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectSubset5)).
% 0.60/0.41 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectEL)).
% 0.60/0.41 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectLsub)).
% 0.60/0.41 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectSubset2)).
% 0.60/0.41 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectSubset3)).
% 0.60/0.41 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectER)).
% 0.60/0.41 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', disjointsetsI1)).
% 0.60/0.41 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectRsub)).
% 0.60/0.41 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectSubset4)).
% 0.60/0.41 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectSubset1)).
% 0.60/0.41 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', bs114d)).
% 0.60/0.41 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusI)).
% 0.60/0.41 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusEL)).
% 0.60/0.41 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusER)).
% 0.60/0.41 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusSubset2)).
% 0.60/0.41 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusERneg)).
% 0.60/0.41 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusELneg)).
% 0.60/0.41 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusILneg)).
% 0.60/0.41 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusIRneg)).
% 0.60/0.41 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusLsub)).
% 0.60/0.41 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusSubset1)).
% 0.60/0.41 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', symdiffE)).
% 0.60/0.41 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', symdiffI1)).
% 0.60/0.41 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', symdiffI2)).
% 0.60/0.41 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', symdiffIneg1)).
% 0.60/0.41 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', symdiffIneg2)).
% 0.60/0.41 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', secondinupair)).
% 0.60/0.41 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setukpairIL)).
% 0.60/0.41 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setukpairIR)).
% 0.60/0.41 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', kpairiskpair)).
% 0.60/0.41 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', kpairp)).
% 0.60/0.41 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', singletonsubset)).
% 0.60/0.41 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', singletoninpowerset)).
% 0.60/0.41 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', singletoninpowunion)).
% 0.60/0.41 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', upairset2E)).
% 0.60/0.41 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', upairsubunion)).
% 0.60/0.41 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', upairinpowunion)).
% 0.60/0.41 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ubforcartprodlem1)).
% 0.60/0.41 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ubforcartprodlem2)).
% 0.60/0.41 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ubforcartprodlem3)).
% 0.60/0.41 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', cartprodpairin)).
% 0.60/0.41 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$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.frHPgYUd33/E---3.1_1728363.p', cartprodmempair1)).
% 0.60/0.41 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', cartprodmempair)).
% 0.60/0.41 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setunionE2)).
% 0.60/0.41 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setunionsingleton1)).
% 0.60/0.41 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setunionsingleton2)).
% 0.60/0.41 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setunionsingleton)).
% 0.60/0.41 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', singletonsuniq)).
% 0.60/0.41 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$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.frHPgYUd33/E---3.1_1728363.p', setukpairinjL1)).
% 0.60/0.41 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', theprop)).
% 0.60/0.41 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', kfstpairEq)).
% 0.60/0.41 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', cartprodfstin)).
% 0.60/0.41 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.frHPgYUd33/E---3.1_1728363.p', setukpairinjL2)).
% 0.60/0.41 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.frHPgYUd33/E---3.1_1728363.p', setukpairinjL)).
% 0.60/0.41 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setukpairinjR11)).
% 0.60/0.41 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.frHPgYUd33/E---3.1_1728363.p', setukpairinjR12)).
% 0.60/0.41 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.frHPgYUd33/E---3.1_1728363.p', setukpairinjR1)).
% 0.60/0.41 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', upairequniteq)).
% 0.60/0.41 thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setukpairinjR2)).
% 0.60/0.41 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setukpairinjR)).
% 0.60/0.41 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ksndpairEq)).
% 0.60/0.41 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', kpairsurjEq)).
% 0.60/0.41 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', cartprodsndin)).
% 0.60/0.41 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', cartprodpairmemEL)).
% 0.60/0.41 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', cartprodpairmemER)).
% 0.60/0.41 thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', cartprodmempaircEq)).
% 0.60/0.41 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', cartprodfstpairEq)).
% 0.60/0.41 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', cartprodsndpairEq)).
% 0.60/0.41 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', cartprodpairsurjEq)).
% 0.60/0.41 thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', app)).
% 0.60/0.41 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', infuncsetfunc)).
% 0.60/0.41 thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ap2p)).
% 0.60/0.41 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', funcinfuncset)).
% 0.60/0.41 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', funcGraphProp1)).
% 0.60/0.41 thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', funcGraphProp3)).
% 0.60/0.41 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', funcGraphProp2)).
% 0.60/0.41 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', funcextLem)).
% 0.60/0.41 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', funcGraphProp4)).
% 0.60/0.41 thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', funcext)).
% 0.60/0.41 thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', funcext2)).
% 0.60/0.41 thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ap2apEq1)).
% 0.60/0.41 thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ap2apEq2)).
% 0.60/0.41 thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', ifp)).
% 0.60/0.41 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', theeq)).
% 0.60/0.41 thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', iftrue)).
% 0.60/0.41 thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', iffalse)).
% 0.60/0.41 thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', iftrueorfalse)).
% 0.60/0.41 thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binintersectT_lem)).
% 0.60/0.41 thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', binunionT_lem)).
% 0.60/0.41 thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', powersetT_lem)).
% 0.60/0.41 thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setminusT_lem)).
% 0.60/0.41 thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', complementT_lem)).
% 0.60/0.41 thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', setextT)).
% 0.60/0.41 thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', subsetTI)).
% 0.60/0.41 thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.frHPgYUd33/E---3.1_1728363.p', powersetTI1)).
% 0.60/0.41 thf(c_0_239, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.60/0.41 thf(c_0_240, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.60/0.41 thf(c_0_241, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.60/0.41 thf(c_0_242, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.60/0.41 thf(c_0_243, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.60/0.41 thf(c_0_244, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.60/0.41 thf(c_0_245, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.60/0.41 thf(c_0_246, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.60/0.41 thf(c_0_247, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 0.60/0.41 thf(c_0_248, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.60/0.41 thf(c_0_249, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.60/0.41 thf(c_0_250, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 0.60/0.41 thf(c_0_251, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.60/0.41 thf(c_0_252, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.60/0.41 thf(c_0_253, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.60/0.41 thf(c_0_254, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 0.60/0.41 thf(c_0_255, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((singleton @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2)))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 0.60/0.41 thf(c_0_256, 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])).
% 0.60/0.41 thf(c_0_257, 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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 0.60/0.41 thf(c_0_258, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 0.60/0.41 thf(c_0_259, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
% 0.60/0.41 thf(c_0_260, 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])).
% 0.60/0.41 thf(c_0_261, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((eqbreln)=>((funcext)=>((funcext2)=>((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((eta1)=>((lam2lamEq)=>((beta2)=>((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((ifSingleton)=>((ifp)=>((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[powersetTE1])).
% 0.60/0.41 thf(c_0_262, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X775:$i]:(((((X6 @ X2 @ X775)))&(![X776:$i]:(((((X6 @ X2 @ X776)))=>(((X775)=(X776)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_239, c_0_240])).
% 0.60/0.41 thf(c_0_263, plain, ((descrp)=(![X1:$i > $o]:((((?[X777:$i]:(((((X1 @ X777)))&(![X778:$i]:(((((X1 @ X778)))=>(((X777)=(X778))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_241, c_0_240])).
% 0.60/0.41 thf(c_0_264, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.60/0.41 thf(c_0_265, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.60/0.41 thf(c_0_266, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.60/0.41 thf(c_0_267, plain, ((exuE1)=(![X1:$i > $o]:((((?[X779:$i]:(((((X1 @ X779)))&(![X780:$i]:(((((X1 @ X780)))=>(((X779)=(X780))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_242, c_0_240])).
% 0.60/0.41 thf(c_0_268, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X781:$i]:(((((X1 @ X781)))&(![X782:$i]:(((((X1 @ X782)))=>(((X781)=(X782))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_243, c_0_240])).
% 0.60/0.41 thf(c_0_269, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.60/0.41 thf(c_0_270, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_244])).
% 0.60/0.41 thf(c_0_271, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_245, c_0_244])).
% 0.60/0.41 thf(c_0_272, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_244])).
% 0.60/0.41 thf(c_0_273, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.60/0.41 thf(c_0_274, plain, ((exuE2)=(![X1:$i > $o]:((((?[X783:$i]:(((((X1 @ X783)))&(![X784:$i]:(((((X1 @ X784)))=>(((X783)=(X784))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_246, c_0_240])).
% 0.60/0.41 thf(c_0_275, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_244])).
% 0.60/0.41 thf(c_0_276, 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])).
% 0.60/0.42 thf(c_0_277, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X785:$i]:(((((X1 @ X785)))&(![X786:$i]:(((((X1 @ X786)))=>(((X785)=(X786)))))))))))))), inference(apply_def,[status(thm)],[c_0_247, c_0_240])).
% 0.60/0.42 thf(c_0_278, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X787:$i]:(((((X1 @ X787)))&(![X788:$i]:(((((X1 @ X788)))=>(((X787)=(X788)))))))))))))))), inference(apply_def,[status(thm)],[c_0_248, c_0_240])).
% 0.60/0.42 thf(c_0_279, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X789:$i]:(((((X1 @ X789)))&(![X790:$i]:(((((X1 @ X790)))=>(((X789)=(X790)))))))))))))), inference(apply_def,[status(thm)],[c_0_249, c_0_240])).
% 0.60/0.42 thf(c_0_280, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X791:$i]:(((((X1 @ X791)))&(![X792:$i]:(((((X1 @ X792)))=>(((X791)=(X792))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_250, c_0_240])).
% 0.60/0.42 thf(c_0_281, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X793:$i]:(((((X1 @ X793)))&(![X794:$i]:(((((X1 @ X794)))=>(((X793)=(X794))))))))))<=>((?[X795:$i]:(((((X17 @ X795)))&(![X796:$i]:(((((X17 @ X796)))=>(((X795)=(X796)))))))))))))))), inference(apply_def,[status(thm)],[c_0_251, c_0_240])).
% 0.60/0.42 thf(c_0_282, plain, ((exuEu)=(![X1:$i > $o]:((((?[X797:$i]:(((((X1 @ X797)))&(![X798:$i]:(((((X1 @ X798)))=>(((X797)=(X798))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_252, c_0_240])).
% 0.60/0.42 thf(c_0_283, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X799:$i]:(((((X1 @ X799)))&(![X800:$i]:(((((X1 @ X800)))=>(((X799)=(X800))))))))))=>((((?[X801:$i]:(((((X17 @ X801)))&(![X802:$i]:(((((X17 @ X802)))=>(((X801)=(X802))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_253, c_0_240])).
% 0.60/0.42 thf(c_0_284, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.60/0.42 thf(c_0_285, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.60/0.42 thf(c_0_286, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.60/0.42 thf(c_0_287, 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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 0.60/0.42 thf(c_0_288, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:(((((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0))))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_254, c_0_255])).
% 0.60/0.42 thf(c_0_289, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>(((![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X3))=>(((X3)=(X2))))))))=>(((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))))))))))), inference(apply_def,[status(thm)],[c_0_256, c_0_255])).
% 0.60/0.42 thf(c_0_290, plain, ((ex1I2)=(![X4:$i, X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))))=>(((?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2)))))=>(((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_257, c_0_255])).
% 0.60/0.42 thf(c_0_291, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 0.60/0.42 thf(c_0_292, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 0.60/0.42 thf(c_0_293, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 0.60/0.42 thf(c_0_294, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 0.60/0.42 thf(c_0_295, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_258, c_0_259])).
% 0.60/0.42 thf(c_0_296, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 0.60/0.42 thf(c_0_297, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 0.60/0.42 thf(c_0_298, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 0.60/0.42 thf(c_0_299, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 0.60/0.42 thf(c_0_300, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
% 0.60/0.42 thf(c_0_301, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
% 0.60/0.42 thf(c_0_302, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
% 0.60/0.42 thf(c_0_303, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
% 0.60/0.42 thf(c_0_304, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
% 0.60/0.42 thf(c_0_305, axiom, ((brelnall1)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_259])).
% 0.60/0.42 thf(c_0_306, axiom, ((brelnall2)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_259])).
% 0.60/0.42 thf(c_0_307, plain, ((ex1E2)=(![X4:$i, X1:$i > $o]:(((((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))))))))))), inference(apply_def,[status(thm)],[c_0_260, c_0_255])).
% 0.60/0.42 thf(c_0_308, axiom, ((subbreln)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X35:$i]:(((((subset @ X35 @ (cartprod @ X4 @ X5))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((in @ (kpair @ X2 @ X3) @ X35))))))))))=>((subset @ X33 @ X35))))))))))), inference(apply_def,[status(thm)],[subbreln, c_0_259])).
% 0.60/0.42 thf(c_0_309, axiom, ((eqbreln)=(![X4:$i, X5:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X5))))=>(![X35:$i]:(((((subset @ X35 @ (cartprod @ X4 @ X5))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((in @ (kpair @ X2 @ X3) @ X35))))))))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X35))=>((in @ (kpair @ X2 @ X3) @ X33))))))))))=>(((X33)=(X35)))))))))))))), inference(apply_def,[status(thm)],[eqbreln, c_0_259])).
% 0.60/0.42 thf(c_0_310, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])).
% 0.60/0.42 thf(c_0_311, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
% 0.60/0.42 thf(c_0_312, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])).
% 0.60/0.42 thf(c_0_313, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])).
% 0.60/0.42 thf(c_0_314, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
% 0.60/0.42 thf(c_0_315, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X39))&(((Z0)=(X2)))))|(((~((X39)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
% 0.60/0.42 thf(c_0_316, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X40))&(((Z0)=(X2)))))|(((~((X40)))&(((Z0)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
% 0.60/0.42 thf(c_0_317, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X41))&(((Z0)=(X2)))))|(((~((X41)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
% 0.60/0.42 thf(c_0_318, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X42))&(((Z0)=(X2)))))|(((~((X42)))&(((Z0)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
% 0.60/0.42 thf(c_0_319, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X43))&(((Z0)=(X2)))))|(((~((X43)))&(((Z0)=(X3))))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
% 0.60/0.42 thf(c_0_320, plain, ((epred1_0)<=>![X832:$i]:(?[X833:$i]:((((![X834:$i]:(((in @ X834 @ X833)=>![X835:$i]:(((in @ X835 @ X834)=>(in @ X835 @ X832)))))&![X836:$i, X837:$i]:((((in @ X836 @ X832)&(in @ X837 @ X832))=>(![X838:$i]:(((in @ X838 @ X833)=>((in @ X836 @ X838)<=>(in @ X837 @ X838))))=>((X836)=(X837))))))&![X839:$i, X840:$i]:((((in @ X839 @ X833)&(in @ X840 @ X833))=>(![X841:$i]:(((in @ X841 @ X839)=>(in @ X841 @ X840)))|![X842:$i]:(((in @ X842 @ X840)=>(in @ X842 @ X839)))))))&![X843:$i]:(((![X844:$i]:(((in @ X844 @ X843)=>(in @ X844 @ X832)))&?[X845:$i]:((in @ X845 @ X843)))=>?[X846:$i, X847:$i]:(((((in @ X846 @ X833)&(in @ X847 @ X843))&~(?[X848:$i]:(((in @ X848 @ X846)&(in @ X848 @ X843)))))&![X849:$i]:(((in @ X849 @ X833)=>(![X850:$i]:(((in @ X850 @ X849)=>(in @ X850 @ X846)))|(in @ X847 @ X849)))))))))))), introduced(definition)).
% 0.60/0.42 thf(c_0_321, negated_conjecture, ~((![X803:$i, X804:$i]:((![X805:$i]:(((in @ X805 @ X803)<=>(in @ X805 @ X804)))=>((X803)=(X804))))=>(![X806:$i]:(~(in @ X806 @ emptyset))=>(![X807:$i, X808:$i, X809:$i]:(((in @ X809 @ (setadjoin @ X807 @ X808))<=>(((X809)=(X807))|(in @ X809 @ X808))))=>(![X810:$i, X811:$i]:(((in @ X811 @ (powerset @ X810))<=>![X812:$i]:(((in @ X812 @ X811)=>(in @ X812 @ X810)))))=>(![X813:$i, X814:$i]:(((in @ X814 @ (setunion @ X813))<=>?[X815:$i]:(((in @ X814 @ X815)&(in @ X815 @ X813)))))=>((in @ emptyset @ omega)=>(![X816:$i]:(((in @ X816 @ omega)=>(in @ (setadjoin @ X816 @ X816) @ omega)))=>(![X817:$i]:((((in @ emptyset @ X817)&![X818:$i]:((((in @ X818 @ omega)&(in @ X818 @ X817))=>(in @ (setadjoin @ X818 @ X818) @ X817))))=>![X819:$i]:(((in @ X819 @ omega)=>(in @ X819 @ X817)))))=>(![X820:$i > $i > $o, X821:$i]:((![X822:$i]:(((in @ X822 @ X821)=>?[X823:$i]:(((X820 @ X822 @ X823)&![X824:$i]:(((X820 @ X822 @ X824)=>((X823)=(X824))))))))=>?[X825:$i]:(![X826:$i]:(((in @ X826 @ X825)<=>?[X827:$i]:(((in @ X827 @ X821)&(X820 @ X827 @ X826))))))))=>(![X828:$i]:((?[X829:$i]:((in @ X829 @ X828))=>?[X830:$i]:(((in @ X830 @ X828)&~(?[X831:$i]:(((in @ X831 @ X830)&(in @ X831 @ X828))))))))=>((epred1_0)=>(![X851:$i > $o]:((?[X852:$i]:(((X851 @ X852)&![X853:$i]:(((X851 @ X853)=>((X852)=(X853))))))=>(X851 @ (descr @ (^[Z0:$i]:(X851 @ Z0))))))=>(![X854:$i, X855:$i > $o, X856:$i]:(((in @ X856 @ X854)=>((X855 @ X856)=>(in @ X856 @ (dsetconstr @ X854 @ X855)))))=>(![X857:$i, X858:$i > $o, X859:$i]:(((in @ X859 @ (dsetconstr @ X857 @ X858))=>(in @ X859 @ X857)))=>(![X860:$i, X861:$i > $o, X862:$i]:(((in @ X862 @ (dsetconstr @ X860 @ X861))=>(X861 @ X862)))=>(![X863:$i > $o]:((?[X864:$i]:(((X863 @ X864)&![X865:$i]:(((X863 @ X865)=>((X864)=(X865))))))=>?[X866:$i]:(((X863 @ X866)&![X867:$i]:(((X863 @ X867)=>((X866)=(X867))))))))=>(![X868:$o, X869:$i]:(((in @ X869 @ (prop2set @ ((X868))))=>(X868)))=>(![X870:$i]:(((in @ X870 @ emptyset)=>![X871:$o]:((X871))))=>(![X872:$i]:(((in @ X872 @ emptyset)=>~($true)))=>(![X873:$i]:(~(in @ X873 @ emptyset))=>(![X874:$i > $o]:((?[X875:$i]:(((X874 @ X875)&![X876:$i]:(((X874 @ X876)=>((X875)=(X876))))))=>?[X877:$i]:((X874 @ X877))))=>(![X878:$i, X879:$i]:((![X880:$i]:(((in @ X880 @ X878)=>(in @ X880 @ X879)))=>(![X881:$i]:(((in @ X881 @ X879)=>(in @ X881 @ X878)))=>((X878)=(X879)))))=>(![X882:$i]:((![X883:$i]:(~(in @ X883 @ X882))=>((X882)=(emptyset))))=>(![X884:$i]:((![X885:$i]:(~(in @ X885 @ X884))=>((X884)=(emptyset))))=>(![X886:$i, X887:$i > $o, X888:$i]:(((in @ X888 @ X886)=>((in @ X888 @ (dsetconstr @ X886 @ X887))<=>(X887 @ X888))))=>(![X889:$i]:((((X889)!=(emptyset))=>?[X890:$i]:((in @ X890 @ X889))))=>(![X891:$i, X892:$i > $o, X893:$i]:(((in @ X893 @ X891)=>((X892 @ X893)=>((dsetconstr @ X891 @ X892)!=(emptyset)))))=>(![X894:$i]:((?[X895:$i]:((in @ X895 @ X894))=>((X894)!=(emptyset))))=>(![X896:$i, X897:$i]:((in @ X896 @ (setadjoin @ X896 @ X897)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X898:$i, X899:$i, X900:$i]:(((in @ X900 @ X899)=>(in @ X900 @ (setadjoin @ X898 @ X899))))=>(![X901:$i, X902:$i, X903:$i]:(((in @ X903 @ (setadjoin @ X901 @ X902))=>![X904:$o]:(((((X903)=(X901))=>(X904))=>(((in @ X903 @ X902)=>(X904))=>(X904))))))=>(![X905:$i, X906:$i, X907:$i]:(((in @ X907 @ (setadjoin @ X905 @ X906))=>(((X907)=(X905))|(in @ X907 @ X906))))=>(![X908:$i]:(((dsetconstr @ X908 @ (^[Z0:$i]:($true)))=(X908)))=>(![X909:$i, X910:$i]:((![X911:$i]:(((in @ X911 @ X910)=>(in @ X911 @ X909)))=>(in @ X910 @ (powerset @ X909))))=>(![X912:$i]:((in @ emptyset @ (powerset @ X912)))=>(![X913:$i]:((in @ emptyset @ (powerset @ X913)))=>(![X914:$i, X915:$i, X916:$i]:(((in @ X915 @ (powerset @ X914))=>((in @ X916 @ X915)=>(in @ X916 @ X914))))=>(![X917:$i, X918:$i, X919:$i]:(((in @ X918 @ X919)=>((in @ X919 @ X917)=>(in @ X918 @ (setunion @ X917)))))=>(![X920:$i, X921:$i]:(((in @ X921 @ (setunion @ X920))=>![X922:$o]:((![X923:$i]:(((in @ X921 @ X923)=>((in @ X923 @ X920)=>(X922))))=>(X922)))))=>(![X924:$i, X925:$i]:(((in @ X925 @ X924)=>(in @ X925 @ (powerset @ (setunion @ X924)))))=>(![X926:$i > $o]:((?[X927:$i]:(((X926 @ X927)&![X928:$i]:(((X926 @ X928)=>((X927)=(X928))))))=>?[X929:$i]:(![X930:$i]:(((X926 @ X930)<=>((X930)=(X929)))))))=>(![X931:$i]:((((X931)!=(emptyset))=>?[X932:$i]:(((in @ X932 @ X931)&$true))))=>(![X933:$i, X934:$i]:(((in @ X933 @ (setadjoin @ X934 @ emptyset))=>((X933)=(X934))))=>(![X935:$i, X936:$i]:((((X935)!=(X936))=>~(in @ X936 @ (setadjoin @ X935 @ emptyset))))=>(![X937:$i, X938:$i]:((((X937)=(X938))=>(in @ X937 @ (setadjoin @ X938 @ emptyset))))=>(![X939:$i, X940:$i]:(((in @ X939 @ (setadjoin @ X940 @ emptyset))=>(in @ X940 @ (setadjoin @ X939 @ emptyset))))=>(![X941:$i, X942:$i, X943:$i]:(((in @ X943 @ (setadjoin @ X941 @ (setadjoin @ X942 @ emptyset)))=>(((X943)=(X941))|((X943)=(X942)))))=>(![X944:$i, X945:$i]:((in @ X944 @ (setadjoin @ X944 @ (setadjoin @ X945 @ emptyset))))=>(![X946:$i, X947:$i]:((in @ X947 @ (setadjoin @ X946 @ (setadjoin @ X947 @ emptyset))))=>(![X948:$i, X949:$i > $o]:((?[X950:$i]:(((in @ X950 @ X948)&(X949 @ X950)))=>(((dsetconstr @ X948 @ X949)=(emptyset))=>~($true))))=>(![X951:$i > $o, X952:$i]:(((in @ X952 @ emptyset)=>(X951 @ X952)))=>(![X953:$i, X954:$i > $o]:((~(![X955:$i]:(((in @ X955 @ X953)=>(X954 @ X955))))=>?[X956:$i]:(((in @ X956 @ X953)&~((X954 @ X956))))))=>(![X957:$i, X958:$i > $o]:((![X959:$i]:(((in @ X959 @ X957)=>~((X958 @ X959))))=>~(?[X960:$i]:(((in @ X960 @ X957)&(X958 @ X960))))))=>(![X961:$i, X962:$i > $o]:((~(?[X963:$i]:(((in @ X963 @ X961)&(X962 @ X963))))=>![X964:$i]:(((in @ X964 @ X961)=>~((X962 @ X964))))))=>(![X965:$i, X966:$i > $o]:((?[X967:$i]:(((in @ X967 @ X965)&~((X966 @ X967))))=>~(![X968:$i]:(((in @ X968 @ X965)=>(X966 @ X968))))))=>(![X969:$o]:(((X969)=>(in @ emptyset @ (prop2set @ ((X969))))))=>(![X970:$o]:(((X970)=>(set2prop @ (prop2set @ ((X970))))))=>(![X971:$i, X972:$i > $o]:((~(?[X973:$i]:(((in @ X973 @ X971)&(X972 @ X973))))=>![X974:$i]:(((in @ X974 @ X971)=>~((X972 @ X974))))))=>(![X975:$i, X976:$i > $o]:((~(![X977:$i]:(((in @ X977 @ X975)=>(X976 @ X977))))=>?[X978:$i]:(((in @ X978 @ X975)&~((X976 @ X978))))))=>(![X979:$i > $o]:((?[X980:$i]:(((X979 @ X980)&![X981:$i]:(((X979 @ X981)=>((X980)=(X981))))))=>?[X982:$i]:(((X979 @ X982)&![X983:$i]:(((X979 @ X983)=>((X982)=(X983))))))))=>(![X984:$i > $o]:((?[X985:$i]:((X984 @ X985))=>(![X986:$i, X987:$i]:(((X984 @ X986)=>((X984 @ X987)=>((X986)=(X987)))))=>?[X988:$i]:(((X984 @ X988)&![X989:$i]:(((X984 @ X989)=>((X988)=(X989)))))))))=>(![X990:$i > $o]:((?[X991:$i]:(![X992:$i]:(((X990 @ X992)<=>((X992)=(X991)))))=>?[X993:$i]:(((X990 @ X993)&![X994:$i]:(((X990 @ X994)=>((X993)=(X994))))))))=>(![X995:$i, X996:$i]:((((X995)=(X996))=>![X997:$i, X998:$i]:((((X997)=(X998))=>((in @ X997 @ X995)=>(in @ X998 @ X996))))))=>(![X999:$i, X1000:$i]:((((X999)=(X1000))=>![X1001:$i, X1002:$i]:((((X1001)=(X1002))=>((in @ X1001 @ X999)<=>(in @ X1002 @ X1000))))))=>(![X1003:$i > $o]:((?[X1004:$i]:(((X1003 @ X1004)&![X1005:$i]:(((X1003 @ X1005)=>((X1004)=(X1005))))))=>![X1006:$i, X1007:$i]:(((X1003 @ X1006)=>((X1003 @ X1007)=>((X1006)=(X1007)))))))=>(![X1008:$i > $o, X1009:$i > $o]:((![X1010:$i, X1011:$i]:((((X1010)=(X1011))=>((X1008 @ X1010)<=>(X1009 @ X1011))))=>(?[X1012:$i]:(((X1008 @ X1012)&![X1013:$i]:(((X1008 @ X1013)=>((X1012)=(X1013))))))<=>?[X1014:$i]:(((X1009 @ X1014)&![X1015:$i]:(((X1009 @ X1015)=>((X1014)=(X1015)))))))))=>(((emptyset)=(emptyset))=>(![X1016:$i, X1017:$i]:((((X1016)=(X1017))=>![X1018:$i, X1019:$i]:((((X1018)=(X1019))=>((setadjoin @ X1016 @ X1018)=(setadjoin @ X1017 @ X1019))))))=>(![X1020:$i, X1021:$i]:((((X1020)=(X1021))=>((powerset @ X1020)=(powerset @ X1021))))=>(![X1022:$i, X1023:$i]:((((X1022)=(X1023))=>((setunion @ X1022)=(setunion @ X1023))))=>(((omega)=(omega))=>(![X1024:$i > $o]:((?[X1025:$i]:(((X1024 @ X1025)&![X1026:$i]:(((X1024 @ X1026)=>((X1025)=(X1026))))))=>![X1027:$i, X1028:$i]:(((X1024 @ X1027)=>((X1024 @ X1028)=>((X1027)=(X1028)))))))=>(![X1029:$i > $o, X1030:$i > $o]:((![X1031:$i, X1032:$i]:((((X1031)=(X1032))=>((X1029 @ X1031)<=>(X1030 @ X1032))))=>(?[X1033:$i]:(((X1029 @ X1033)&![X1034:$i]:(((X1029 @ X1034)=>((X1033)=(X1034))))))=>(?[X1035:$i]:(((X1030 @ X1035)&![X1036:$i]:(((X1030 @ X1036)=>((X1035)=(X1036))))))=>((descr @ X1029)=(descr @ X1030))))))=>(![X1037:$i, X1038:$i]:((((X1037)=(X1038))=>![X1039:$i > $o, X1040:$i > $o]:((![X1041:$i]:(((in @ X1041 @ X1037)=>![X1042:$i]:(((in @ X1042 @ X1038)=>(((X1041)=(X1042))=>((X1039 @ X1041)<=>(X1040 @ X1042)))))))=>((dsetconstr @ X1037 @ X1039)=(dsetconstr @ X1038 @ X1040))))))=>(![X1043:$i, X1044:$i]:((![X1045:$i]:(((in @ X1045 @ X1043)=>(in @ X1045 @ X1044)))=>(subset @ X1043 @ X1044)))=>(![X1046:$i, X1047:$i]:((((X1046)=(X1047))=>(subset @ X1047 @ X1046)))=>(![X1048:$i, X1049:$i]:((((X1048)=(X1049))=>(subset @ X1048 @ X1049)))=>(![X1050:$i, X1051:$i]:((![X1052:$i]:(((in @ X1052 @ X1050)=>(in @ X1052 @ X1051)))=>(subset @ X1050 @ X1051)))=>(![X1053:$i]:((subset @ emptyset @ X1053))=>(![X1054:$i, X1055:$i, X1056:$i]:(((subset @ X1054 @ X1055)=>((in @ X1056 @ X1054)=>(in @ X1056 @ X1055))))=>(![X1057:$i, X1058:$i, X1059:$i]:(((subset @ X1057 @ X1058)=>(~(in @ X1059 @ X1058)=>~(in @ X1059 @ X1057))))=>(![X1060:$i, X1061:$i, X1062:$i]:(((in @ X1062 @ X1060)=>(~(in @ X1062 @ X1061)=>~(subset @ X1060 @ X1061))))=>(![X1063:$i, X1064:$i]:((~(subset @ X1063 @ X1064)=>((X1063)!=(X1064))))=>(![X1065:$i, X1066:$i, X1067:$i]:(((in @ X1067 @ X1065)=>(~(in @ X1067 @ X1066)=>((X1065)!=(X1066)))))=>(![X1068:$i]:((subset @ X1068 @ X1068))=>(![X1069:$i, X1070:$i, X1071:$i]:(((subset @ X1069 @ X1070)=>((subset @ X1070 @ X1071)=>(subset @ X1069 @ X1071))))=>(![X1072:$i, X1073:$i]:((subset @ X1073 @ (setadjoin @ X1072 @ X1073)))=>(![X1074:$i, X1075:$i, X1076:$i]:(((subset @ X1074 @ X1076)=>(subset @ X1074 @ (setadjoin @ X1075 @ X1076))))=>(![X1077:$i, X1078:$i]:(((subset @ X1077 @ X1078)=>(in @ X1077 @ (powerset @ X1078))))=>(![X1079:$i, X1080:$i]:(((subset @ X1079 @ X1080)=>((subset @ X1080 @ X1079)=>((X1079)=(X1080)))))=>(![X1081:$i]:(((subset @ X1081 @ emptyset)=>((X1081)=(emptyset))))=>(![X1082:$i, X1083:$i]:(((subset @ X1083 @ X1082)=>(in @ X1083 @ (powerset @ X1082))))=>(![X1084:$i, X1085:$i]:(((in @ X1085 @ (powerset @ X1084))=>(subset @ X1085 @ X1084)))=>(![X1086:$i]:((in @ X1086 @ (powerset @ X1086)))=>(![X1087:$i, X1088:$i]:(((subset @ X1087 @ X1088)=>(subset @ (powerset @ X1087) @ (powerset @ X1088))))=>(![X1089:$i, X1090:$i > $o]:((in @ (dsetconstr @ X1089 @ X1090) @ (powerset @ X1089)))=>(![X1091:$i, X1092:$i > $o]:((subset @ (dsetconstr @ X1091 @ X1092) @ X1091))=>(![X1093:$i, X1094:$i, X1095:$i]:(((in @ X1095 @ X1093)=>(in @ X1095 @ (binunion @ X1093 @ X1094))))=>(![X1096:$i, X1097:$i]:((in @ X1097 @ (setadjoin @ X1096 @ (setadjoin @ X1097 @ emptyset))))=>(![X1098:$i, X1099:$i, X1100:$i]:(((in @ X1100 @ X1099)=>(in @ X1100 @ (binunion @ X1098 @ X1099))))=>(![X1101:$i, X1102:$i, X1103:$i, X1104:$o]:(((in @ X1103 @ (binunion @ X1101 @ X1102))=>(((in @ X1103 @ X1101)=>(X1104))=>(((in @ X1103 @ X1102)=>(X1104))=>(X1104)))))=>(![X1105:$i, X1106:$i, X1107:$i]:(((in @ X1107 @ (binunion @ X1105 @ X1106))=>((in @ X1107 @ X1105)|(in @ X1107 @ X1106))))=>(![X1108:$i, X1109:$i]:((subset @ X1108 @ (binunion @ X1108 @ X1109)))=>(![X1110:$i, X1111:$i]:((subset @ X1111 @ (binunion @ X1110 @ X1111)))=>(![X1112:$i, X1113:$i, X1114:$i]:(((in @ X1114 @ X1112)=>((in @ X1114 @ X1113)=>(in @ X1114 @ (binintersect @ X1112 @ X1113)))))=>(![X1115:$i, X1116:$i, X1117:$i]:(((subset @ X1117 @ X1115)=>((subset @ X1117 @ X1116)=>(subset @ X1117 @ (binintersect @ X1115 @ X1116)))))=>(![X1118:$i, X1119:$i, X1120:$i]:(((in @ X1120 @ (binintersect @ X1118 @ X1119))=>(in @ X1120 @ X1118)))=>(![X1121:$i, X1122:$i]:((subset @ (binintersect @ X1121 @ X1122) @ X1121))=>(![X1123:$i, X1124:$i]:(((subset @ X1123 @ X1124)=>((binintersect @ X1123 @ X1124)=(X1123))))=>(![X1125:$i, X1126:$i]:((((binintersect @ X1125 @ X1126)=(X1126))=>(subset @ X1126 @ X1125)))=>(![X1127:$i, X1128:$i, X1129:$i]:(((in @ X1129 @ (binintersect @ X1127 @ X1128))=>(in @ X1129 @ X1128)))=>(![X1130:$i, X1131:$i]:((~(?[X1132:$i]:(((in @ X1132 @ X1130)&(in @ X1132 @ X1131))))=>((binintersect @ X1130 @ X1131)=(emptyset))))=>(![X1133:$i, X1134:$i]:((subset @ (binintersect @ X1133 @ X1134) @ X1134))=>(![X1135:$i, X1136:$i]:(((subset @ X1136 @ X1135)=>((binintersect @ X1135 @ X1136)=(X1136))))=>(![X1137:$i, X1138:$i]:((((binintersect @ X1137 @ X1138)=(X1137))=>(subset @ X1137 @ X1138)))=>(![X1139:$i, X1140:$i, X1141:$i]:(((binintersect @ X1139 @ (binunion @ X1140 @ X1141))=(binunion @ (binintersect @ X1139 @ X1140) @ (binintersect @ X1139 @ X1141))))=>(![X1142:$i, X1143:$i, X1144:$i]:(((in @ X1144 @ X1142)=>(~(in @ X1144 @ X1143)=>(in @ X1144 @ (setminus @ X1142 @ X1143)))))=>(![X1145:$i, X1146:$i, X1147:$i]:(((in @ X1147 @ (setminus @ X1145 @ X1146))=>(in @ X1147 @ X1145)))=>(![X1148:$i, X1149:$i, X1150:$i]:(((in @ X1150 @ (setminus @ X1148 @ X1149))=>~(in @ X1150 @ X1149)))=>(![X1151:$i, X1152:$i]:(((subset @ X1151 @ X1152)=>((setminus @ X1151 @ X1152)=(emptyset))))=>(![X1153:$i, X1154:$i, X1155:$i]:((~(in @ X1155 @ (setminus @ X1153 @ X1154))=>((in @ X1155 @ X1153)=>(in @ X1155 @ X1154))))=>(![X1156:$i, X1157:$i, X1158:$i]:((~(in @ X1158 @ (setminus @ X1156 @ X1157))=>(~(in @ X1158 @ X1157)=>~(in @ X1158 @ X1156))))=>(![X1159:$i, X1160:$i, X1161:$i]:((~(in @ X1161 @ X1159)=>~(in @ X1161 @ (setminus @ X1159 @ X1160))))=>(![X1162:$i, X1163:$i, X1164:$i]:(((in @ X1164 @ X1163)=>~(in @ X1164 @ (setminus @ X1162 @ X1163))))=>(![X1165:$i, X1166:$i]:((subset @ (setminus @ X1165 @ X1166) @ X1165))=>(![X1167:$i, X1168:$i]:((((setminus @ X1167 @ X1168)=(emptyset))=>(subset @ X1167 @ X1168)))=>(![X1169:$i, X1170:$i, X1171:$i]:(((in @ X1171 @ (symdiff @ X1169 @ X1170))=>![X1172:$o]:((((in @ X1171 @ X1169)=>(~(in @ X1171 @ X1170)=>(X1172)))=>((~(in @ X1171 @ X1169)=>((in @ X1171 @ X1170)=>(X1172)))=>(X1172))))))=>(![X1173:$i, X1174:$i, X1175:$i]:(((in @ X1175 @ X1173)=>(~(in @ X1175 @ X1174)=>(in @ X1175 @ (symdiff @ X1173 @ X1174)))))=>(![X1176:$i, X1177:$i, X1178:$i]:((~(in @ X1178 @ X1176)=>((in @ X1178 @ X1177)=>(in @ X1178 @ (symdiff @ X1176 @ X1177)))))=>(![X1179:$i, X1180:$i, X1181:$i]:(((in @ X1181 @ X1179)=>((in @ X1181 @ X1180)=>~(in @ X1181 @ (symdiff @ X1179 @ X1180)))))=>(![X1182:$i, X1183:$i, X1184:$i]:((~(in @ X1184 @ X1182)=>(~(in @ X1184 @ X1183)=>~(in @ X1184 @ (symdiff @ X1182 @ X1183)))))=>(![X1185:$i, X1186:$i]:((in @ X1186 @ (setadjoin @ X1185 @ (setadjoin @ X1186 @ emptyset))))=>(![X1187:$i, X1188:$i]:((in @ X1187 @ (setunion @ (setadjoin @ (setadjoin @ X1187 @ emptyset) @ (setadjoin @ (setadjoin @ X1187 @ (setadjoin @ X1188 @ emptyset)) @ emptyset)))))=>(![X1189:$i, X1190:$i]:((in @ X1190 @ (setunion @ (setadjoin @ (setadjoin @ X1189 @ emptyset) @ (setadjoin @ (setadjoin @ X1189 @ (setadjoin @ X1190 @ emptyset)) @ emptyset)))))=>(![X1191:$i, X1192:$i]:((iskpair @ (setadjoin @ (setadjoin @ X1191 @ emptyset) @ (setadjoin @ (setadjoin @ X1191 @ (setadjoin @ X1192 @ emptyset)) @ emptyset))))=>(![X1193:$i, X1194:$i]:((iskpair @ (kpair @ X1193 @ X1194)))=>(![X1195:$i, X1196:$i]:(((in @ X1196 @ X1195)=>(subset @ (setadjoin @ X1196 @ emptyset) @ X1195)))=>(![X1197:$i, X1198:$i]:(((in @ X1198 @ X1197)=>(in @ (setadjoin @ X1198 @ emptyset) @ (powerset @ X1197))))=>(![X1199:$i, X1200:$i, X1201:$i]:(((in @ X1201 @ X1199)=>(in @ (setadjoin @ X1201 @ emptyset) @ (powerset @ (binunion @ X1199 @ X1200)))))=>(![X1202:$i, X1203:$i, X1204:$i]:(((in @ X1204 @ (setadjoin @ X1202 @ (setadjoin @ X1203 @ emptyset)))=>(((X1204)=(X1202))|((X1204)=(X1203)))))=>(![X1205:$i, X1206:$i, X1207:$i]:(((in @ X1207 @ X1205)=>![X1208:$i]:(((in @ X1208 @ X1206)=>(subset @ (setadjoin @ X1207 @ (setadjoin @ X1208 @ emptyset)) @ (binunion @ X1205 @ X1206))))))=>(![X1209:$i, X1210:$i, X1211:$i]:(((in @ X1211 @ X1209)=>![X1212:$i]:(((in @ X1212 @ X1210)=>(in @ (setadjoin @ X1211 @ (setadjoin @ X1212 @ emptyset)) @ (powerset @ (binunion @ X1209 @ X1210)))))))=>(![X1213:$i, X1214:$i, X1215:$i]:(((in @ X1215 @ X1213)=>![X1216:$i]:(((in @ X1216 @ X1214)=>(subset @ (setadjoin @ (setadjoin @ X1215 @ emptyset) @ (setadjoin @ (setadjoin @ X1215 @ (setadjoin @ X1216 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1213 @ X1214)))))))=>(![X1217:$i, X1218:$i, X1219:$i]:(((in @ X1219 @ X1217)=>![X1220:$i]:(((in @ X1220 @ X1218)=>(in @ (setadjoin @ (setadjoin @ X1219 @ emptyset) @ (setadjoin @ (setadjoin @ X1219 @ (setadjoin @ X1220 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1217 @ X1218))))))))=>(![X1221:$i, X1222:$i, X1223:$i]:(((in @ X1223 @ X1221)=>![X1224:$i]:(((in @ X1224 @ X1222)=>(in @ (kpair @ X1223 @ X1224) @ (powerset @ (powerset @ (binunion @ X1221 @ X1222))))))))=>(![X1225:$i, X1226:$i, X1227:$i]:(((in @ X1227 @ X1225)=>![X1228:$i]:(((in @ X1228 @ X1226)=>(in @ (kpair @ X1227 @ X1228) @ (cartprod @ X1225 @ X1226))))))=>(![X1229:$i, X1230:$i, X1231:$i]:(((in @ X1231 @ (cartprod @ X1229 @ X1230))=>?[X1232:$i]:(((in @ X1232 @ X1229)&?[X1233:$i]:(((in @ X1233 @ X1230)&((X1231)=(kpair @ X1232 @ X1233))))))))=>(![X1234:$i, X1235:$i, X1236:$i]:(((in @ X1236 @ (cartprod @ X1234 @ X1235))=>(iskpair @ X1236)))=>(![X1237:$i, X1238:$i]:(((in @ X1238 @ (setunion @ X1237))=>?[X1239:$i]:(((in @ X1239 @ X1237)&(in @ X1238 @ X1239)))))=>(![X1240:$i]:((subset @ (setunion @ (setadjoin @ X1240 @ emptyset)) @ X1240))=>(![X1241:$i]:((subset @ X1241 @ (setunion @ (setadjoin @ X1241 @ emptyset))))=>(![X1242:$i]:(((setunion @ (setadjoin @ X1242 @ emptyset))=(X1242)))=>(![X1243:$i, X1244:$i > $o]:((![X1245:$i]:(((in @ X1245 @ X1243)=>![X1246:$i]:(((in @ X1246 @ X1243)=>((X1244 @ X1245)=>((X1244 @ X1246)=>((X1245)=(X1246))))))))=>(?[X1247:$i]:(((in @ X1247 @ X1243)&(X1244 @ X1247)))=>(singleton @ (dsetconstr @ X1243 @ X1244)))))=>(![X1248:$i, X1249:$i > $o]:(((singleton @ (dsetconstr @ X1248 @ X1249))=>?[X1250:$i]:(((in @ X1250 @ X1248)&(X1249 @ X1250)))))=>(![X1251:$i, X1252:$i > $o, X1253:$i]:(((in @ X1253 @ X1251)=>((X1252 @ X1253)=>(![X1254:$i]:(((in @ X1254 @ X1251)=>((X1252 @ X1254)=>((X1254)=(X1253)))))=>(singleton @ (dsetconstr @ X1251 @ X1252))))))=>(![X1255:$i, X1256:$i > $o]:((![X1257:$i]:(((in @ X1257 @ X1255)=>![X1258:$i]:(((in @ X1258 @ X1255)=>((X1256 @ X1257)=>((X1256 @ X1258)=>((X1257)=(X1258))))))))=>(?[X1259:$i]:(((in @ X1259 @ X1255)&(X1256 @ X1259)))=>(singleton @ (dsetconstr @ X1255 @ X1256)))))=>(![X1260:$i, X1261:$i]:((((setadjoin @ X1260 @ emptyset)=(setadjoin @ X1261 @ emptyset))=>((X1260)=(X1261))))=>(![X1262:$i, X1263:$i, X1264:$i]:(((in @ (setadjoin @ X1264 @ emptyset) @ (setadjoin @ (setadjoin @ X1262 @ emptyset) @ (setadjoin @ (setadjoin @ X1262 @ (setadjoin @ X1263 @ emptyset)) @ emptyset)))=>((X1262)=(X1264))))=>(![X1265:$i]:(((iskpair @ X1265)=>(singleton @ (dsetconstr @ (setunion @ X1265) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1265)))))))=>(![X1266:$i]:(((singleton @ X1266)=>(in @ (setunion @ X1266) @ X1266)))=>(![X1267:$i, X1268:$i]:(((kfst @ (kpair @ X1267 @ X1268))=(X1267)))=>(![X1269:$i, X1270:$i, X1271:$i]:(((in @ X1271 @ (cartprod @ X1269 @ X1270))=>(in @ (kfst @ X1271) @ X1269)))=>(![X1272:$i, X1273:$i, X1274:$i, X1275:$i]:((((setadjoin @ (setadjoin @ X1272 @ emptyset) @ (setadjoin @ (setadjoin @ X1272 @ (setadjoin @ X1273 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1274 @ emptyset) @ (setadjoin @ (setadjoin @ X1274 @ (setadjoin @ X1275 @ emptyset)) @ emptyset)))=>((X1272)=(X1274))))=>(![X1276:$i, X1277:$i, X1278:$i, X1279:$i]:((((kpair @ X1276 @ X1277)=(kpair @ X1278 @ X1279))=>((X1276)=(X1278))))=>(![X1280:$i, X1281:$i]:((((X1280)=(X1281))=>((setadjoin @ X1280 @ (setadjoin @ X1281 @ emptyset))=(setadjoin @ X1280 @ emptyset))))=>(![X1282:$i, X1283:$i]:((((X1282)=(X1283))=>((setadjoin @ (setadjoin @ X1282 @ emptyset) @ (setadjoin @ (setadjoin @ X1282 @ (setadjoin @ X1283 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1282 @ emptyset) @ emptyset))))=>(![X1284:$i, X1285:$i, X1286:$i, X1287:$i]:((((setadjoin @ (setadjoin @ X1284 @ emptyset) @ (setadjoin @ (setadjoin @ X1284 @ (setadjoin @ X1285 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1286 @ emptyset) @ (setadjoin @ (setadjoin @ X1286 @ (setadjoin @ X1287 @ emptyset)) @ emptyset)))=>(((X1286)=(X1287))=>((X1285)=(X1287)))))=>(![X1288:$i, X1289:$i, X1290:$i]:((((setadjoin @ X1288 @ (setadjoin @ X1289 @ emptyset))=(setadjoin @ X1290 @ emptyset))=>((X1288)=(X1289))))=>(![X1291:$i, X1292:$i, X1293:$i, X1294:$i]:((((setadjoin @ (setadjoin @ X1291 @ emptyset) @ (setadjoin @ (setadjoin @ X1291 @ (setadjoin @ X1292 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1293 @ emptyset) @ (setadjoin @ (setadjoin @ X1293 @ (setadjoin @ X1294 @ emptyset)) @ emptyset)))=>((X1292)=(X1294))))=>(![X1295:$i, X1296:$i, X1297:$i, X1298:$i]:((((kpair @ X1295 @ X1296)=(kpair @ X1297 @ X1298))=>((X1296)=(X1298))))=>(![X1299:$i]:(((iskpair @ X1299)=>(singleton @ (dsetconstr @ (setunion @ X1299) @ (^[Z0:$i]:(((X1299)=(kpair @ (kfst @ X1299) @ Z0))))))))=>(![X1300:$i, X1301:$i]:(((ksnd @ (kpair @ X1300 @ X1301))=(X1301)))=>(![X1302:$i]:(((iskpair @ X1302)=>((kpair @ (kfst @ X1302) @ (ksnd @ X1302))=(X1302))))=>(![X1303:$i, X1304:$i, X1305:$i]:(((in @ X1305 @ (cartprod @ X1303 @ X1304))=>(in @ (ksnd @ X1305) @ X1304)))=>(![X1306:$i, X1307:$i, X1308:$i, X1309:$i]:(((in @ (kpair @ X1308 @ X1309) @ (cartprod @ X1306 @ X1307))=>(in @ X1308 @ X1306)))=>(![X1310:$i, X1311:$i, X1312:$i, X1313:$i]:(((in @ (kpair @ X1312 @ X1313) @ (cartprod @ X1310 @ X1311))=>(in @ X1313 @ X1311)))=>(![X1314:$i, X1315:$i, X1316:$i]:(((in @ X1316 @ X1314)=>![X1317:$i]:(((in @ X1317 @ X1315)=>((kpair @ X1316 @ X1317)=(kpair @ X1316 @ X1317))))))=>(![X1318:$i, X1319:$i, X1320:$i]:(((in @ X1320 @ X1318)=>![X1321:$i]:(((in @ X1321 @ X1319)=>((kfst @ (kpair @ X1320 @ X1321))=(X1320))))))=>(![X1322:$i, X1323:$i, X1324:$i]:(((in @ X1324 @ X1322)=>![X1325:$i]:(((in @ X1325 @ X1323)=>((ksnd @ (kpair @ X1324 @ X1325))=(X1325))))))=>(![X1326:$i, X1327:$i, X1328:$i]:(((in @ X1328 @ (cartprod @ X1326 @ X1327))=>((kpair @ (kfst @ X1328) @ (ksnd @ X1328))=(X1328))))=>(![X1329:$i, X1330:$i, X1331:$i > $i > $o, X1332:$i]:(((in @ X1332 @ X1329)=>![X1333:$i]:(((in @ X1333 @ X1330)=>((X1331 @ X1332 @ X1333)=>(in @ (kpair @ X1332 @ X1333) @ (dpsetconstr @ X1329 @ X1330 @ X1331)))))))=>(![X1334:$i, X1335:$i, X1336:$i > $i > $o]:((subset @ (dpsetconstr @ X1334 @ X1335 @ X1336) @ (cartprod @ X1334 @ X1335)))=>(![X1337:$i, X1338:$i, X1339:$i > $i > $o]:((subset @ (dpsetconstr @ X1337 @ X1338 @ X1339) @ (cartprod @ X1337 @ X1338)))=>(![X1340:$i, X1341:$i, X1342:$i > $i > $o, X1343:$i]:(((in @ X1343 @ X1340)=>![X1344:$i]:(((in @ X1344 @ X1341)=>((in @ (kpair @ X1343 @ X1344) @ (dpsetconstr @ X1340 @ X1341 @ X1342))=>(X1342 @ X1343 @ X1344))))))=>(![X1345:$i, X1346:$i, X1347:$i > $i > $o, X1348:$i, X1349:$i]:(((in @ (kpair @ X1348 @ X1349) @ (dpsetconstr @ X1345 @ X1346 @ X1347))=>(in @ X1348 @ X1345)))=>(![X1350:$i, X1351:$i, X1352:$i > $i > $o, X1353:$i, X1354:$i]:(((in @ (kpair @ X1353 @ X1354) @ (dpsetconstr @ X1350 @ X1351 @ X1352))=>(in @ X1354 @ X1351)))=>(![X1355:$i, X1356:$i, X1357:$i > $i > $o, X1358:$i, X1359:$i]:(((in @ (kpair @ X1358 @ X1359) @ (dpsetconstr @ X1355 @ X1356 @ X1357))=>(X1357 @ X1358 @ X1359)))=>(![X1360:$i, X1361:$i, X1362:$i]:(((func @ X1360 @ X1361 @ X1362)=>![X1363:$i]:(((in @ X1363 @ X1360)=>(singleton @ (dsetconstr @ X1361 @ (^[Z0:$i]:((in @ (kpair @ X1363 @ Z0) @ X1362)))))))))=>(![X1364:$i, X1365:$i, X1366:$i]:(((func @ X1364 @ X1365 @ X1366)=>![X1367:$i]:(((in @ X1367 @ X1364)=>(in @ (setunion @ (dsetconstr @ X1365 @ (^[Z0:$i]:((in @ (kpair @ X1367 @ Z0) @ X1366))))) @ X1365)))))=>(![X1368:$i, X1369:$i, X1370:$i]:(((func @ X1368 @ X1369 @ X1370)=>![X1371:$i]:(((in @ X1371 @ X1368)=>(in @ (ap @ X1368 @ X1369 @ X1370 @ X1371) @ X1369)))))=>(![X1372:$i, X1373:$i, X1374:$i]:(((in @ X1374 @ (funcSet @ X1372 @ X1373))=>(func @ X1372 @ X1373 @ X1374)))=>(![X1375:$i, X1376:$i, X1377:$i]:(((in @ X1377 @ (funcSet @ X1375 @ X1376))=>![X1378:$i]:(((in @ X1378 @ X1375)=>(in @ (ap @ X1375 @ X1376 @ X1377 @ X1378) @ X1376)))))=>(![X1379:$i, X1380:$i, X1381:$i]:(((func @ X1379 @ X1380 @ X1381)=>(in @ X1381 @ (funcSet @ X1379 @ X1380))))=>(![X1382:$i, X1383:$i, X1384:$i > $i]:((![X1385:$i]:(((in @ X1385 @ X1382)=>(in @ (X1384 @ X1385) @ X1383)))=>(func @ X1382 @ X1383 @ (dpsetconstr @ X1382 @ X1383 @ (^[Z0:$i]:($eq @ (X1384 @ Z0)))))))=>(![X1386:$i, X1387:$i, X1388:$i > $i]:((![X1389:$i]:(((in @ X1389 @ X1386)=>(in @ (X1388 @ X1389) @ X1387)))=>(func @ X1386 @ X1387 @ (lam @ X1386 @ X1387 @ X1388))))=>(![X1390:$i, X1391:$i, X1392:$i > $i]:((![X1393:$i]:(((in @ X1393 @ X1390)=>(in @ (X1392 @ X1393) @ X1391)))=>(in @ (lam @ X1390 @ X1391 @ X1392) @ (funcSet @ X1390 @ X1391))))=>(![X1394:$i, X1395:$i, X1396:$i]:(((subset @ X1396 @ (cartprod @ X1394 @ X1395))=>![X1397:$i > $o]:((![X1398:$i]:(((in @ X1398 @ X1394)=>![X1399:$i]:(((in @ X1399 @ X1395)=>((in @ (kpair @ X1398 @ X1399) @ X1396)=>(X1397 @ (kpair @ X1398 @ X1399)))))))=>![X1400:$i]:(((in @ X1400 @ X1396)=>(X1397 @ X1400)))))))=>(![X1401:$i, X1402:$i, X1403:$i]:(((subset @ X1403 @ (cartprod @ X1401 @ X1402))=>![X1404:$i > $o]:((![X1405:$i]:(((in @ X1405 @ X1401)=>![X1406:$i]:(((in @ X1406 @ X1402)=>((in @ (kpair @ X1405 @ X1406) @ X1403)=>(X1404 @ (kpair @ X1405 @ X1406)))))))=>![X1407:$i]:(((in @ X1407 @ X1403)=>(X1404 @ X1407)))))))=>(![X1408:$i, X1409:$i > $o]:(((singleton @ (dsetconstr @ X1408 @ X1409))=>![X1410:$i]:(((in @ X1410 @ X1408)=>![X1411:$i]:(((in @ X1411 @ X1408)=>((X1409 @ X1410)=>((X1409 @ X1411)=>((X1410)=(X1411))))))))))=>(![X1412:$i, X1413:$i, X1414:$i]:(((func @ X1412 @ X1413 @ X1414)=>![X1415:$i]:(((in @ X1415 @ X1412)=>(in @ (kpair @ X1415 @ (ap @ X1412 @ X1413 @ X1414 @ X1415)) @ X1414)))))=>(![X1416:$i, X1417:$i, X1418:$i]:(((in @ X1418 @ (funcSet @ X1416 @ X1417))=>![X1419:$i]:(((in @ X1419 @ X1416)=>(in @ (kpair @ X1419 @ (ap @ X1416 @ X1417 @ X1418 @ X1419)) @ X1418)))))=>(![X1420:$i, X1421:$i, X1422:$i]:(((func @ X1420 @ X1421 @ X1422)=>![X1423:$i]:(((in @ X1423 @ X1420)=>![X1424:$i]:(((in @ X1424 @ X1421)=>((in @ (kpair @ X1423 @ X1424) @ X1422)=>((ap @ X1420 @ X1421 @ X1422 @ X1423)=(X1424)))))))))=>(![X1425:$i, X1426:$i, X1427:$i]:(((func @ X1425 @ X1426 @ X1427)=>![X1428:$i]:(((func @ X1425 @ X1426 @ X1428)=>(![X1429:$i]:(((in @ X1429 @ X1425)=>((ap @ X1425 @ X1426 @ X1427 @ X1429)=(ap @ X1425 @ X1426 @ X1428 @ X1429))))=>![X1430:$i]:(((in @ X1430 @ X1425)=>![X1431:$i]:(((in @ X1431 @ X1426)=>((in @ (kpair @ X1430 @ X1431) @ X1428)=>(in @ (kpair @ X1430 @ X1431) @ X1427)))))))))))=>(![X1432:$i, X1433:$i, X1434:$i]:(((in @ X1434 @ (funcSet @ X1432 @ X1433))=>![X1435:$i]:(((in @ X1435 @ X1432)=>![X1436:$i]:(((in @ X1436 @ X1433)=>((in @ (kpair @ X1435 @ X1436) @ X1434)=>((ap @ X1432 @ X1433 @ X1434 @ X1435)=(X1436)))))))))=>(![X1437:$i, X1438:$i, X1439:$i]:(((subset @ X1439 @ (cartprod @ X1437 @ X1438))=>![X1440:$i]:(((subset @ X1440 @ (cartprod @ X1437 @ X1438))=>(![X1441:$i]:(((in @ X1441 @ X1437)=>![X1442:$i]:(((in @ X1442 @ X1438)=>((in @ (kpair @ X1441 @ X1442) @ X1439)=>(in @ (kpair @ X1441 @ X1442) @ X1440))))))=>(subset @ X1439 @ X1440))))))=>(![X1443:$i, X1444:$i, X1445:$i]:(((subset @ X1445 @ (cartprod @ X1443 @ X1444))=>![X1446:$i]:(((subset @ X1446 @ (cartprod @ X1443 @ X1444))=>(![X1447:$i]:(((in @ X1447 @ X1443)=>![X1448:$i]:(((in @ X1448 @ X1444)=>((in @ (kpair @ X1447 @ X1448) @ X1445)=>(in @ (kpair @ X1447 @ X1448) @ X1446))))))=>(![X1449:$i]:(((in @ X1449 @ X1443)=>![X1450:$i]:(((in @ X1450 @ X1444)=>((in @ (kpair @ X1449 @ X1450) @ X1446)=>(in @ (kpair @ X1449 @ X1450) @ X1445))))))=>((X1445)=(X1446))))))))=>(![X1451:$i, X1452:$i, X1453:$i]:(((func @ X1451 @ X1452 @ X1453)=>![X1454:$i]:(((func @ X1451 @ X1452 @ X1454)=>(![X1455:$i]:(((in @ X1455 @ X1451)=>((ap @ X1451 @ X1452 @ X1453 @ X1455)=(ap @ X1451 @ X1452 @ X1454 @ X1455))))=>((X1453)=(X1454)))))))=>(![X1456:$i, X1457:$i, X1458:$i]:(((in @ X1458 @ (funcSet @ X1456 @ X1457))=>![X1459:$i]:(((in @ X1459 @ (funcSet @ X1456 @ X1457))=>(![X1460:$i]:(((in @ X1460 @ X1456)=>((ap @ X1456 @ X1457 @ X1458 @ X1460)=(ap @ X1456 @ X1457 @ X1459 @ X1460))))=>((X1458)=(X1459)))))))=>(![X1461:$i, X1462:$i, X1463:$i]:(((in @ X1463 @ (funcSet @ X1461 @ X1462))=>![X1464:$i]:(((in @ X1464 @ X1461)=>((ap @ X1461 @ X1462 @ X1463 @ X1464)=(ap @ X1461 @ X1462 @ X1463 @ X1464))))))=>(![X1465:$i, X1466:$i, X1467:$i]:(((func @ X1465 @ X1466 @ X1467)=>![X1468:$i]:(((in @ X1468 @ X1465)=>((ap @ X1465 @ X1466 @ X1467 @ X1468)=(ap @ X1465 @ X1466 @ X1467 @ X1468))))))=>(![X1469:$i, X1470:$i, X1471:$i > $i]:((![X1472:$i]:(((in @ X1472 @ X1469)=>(in @ (X1471 @ X1472) @ X1470)))=>![X1473:$i]:(((in @ X1473 @ X1469)=>((ap @ X1469 @ X1470 @ (lam @ X1469 @ X1470 @ X1471) @ X1473)=(X1471 @ X1473))))))=>(![X1474:$i, X1475:$i, X1476:$i]:(((func @ X1474 @ X1475 @ X1476)=>((lam @ X1474 @ X1475 @ (ap @ X1474 @ X1475 @ X1476))=(X1476))))=>(![X1477:$i, X1478:$i, X1479:$i > $i]:((![X1480:$i]:(((in @ X1480 @ X1477)=>(in @ (X1479 @ X1480) @ X1478)))=>((lam @ X1477 @ X1478 @ X1479)=(lam @ X1477 @ X1478 @ X1479))))=>(![X1481:$i, X1482:$i, X1483:$i > $i]:((![X1484:$i]:(((in @ X1484 @ X1481)=>(in @ (X1483 @ X1484) @ X1482)))=>![X1485:$i]:(((in @ X1485 @ X1481)=>((ap @ X1481 @ X1482 @ (lam @ X1481 @ X1482 @ X1483) @ X1485)=(X1483 @ X1485))))))=>(![X1486:$i, X1487:$i, X1488:$i]:(((in @ X1488 @ (funcSet @ X1486 @ X1487))=>((lam @ X1486 @ X1487 @ (ap @ X1486 @ X1487 @ X1488))=(X1488))))=>(![X1489:$i, X1490:$o, X1491:$i]:(((in @ X1491 @ X1489)=>![X1492:$i]:(((in @ X1492 @ X1489)=>(~(X1490)=>(in @ X1492 @ (dsetconstr @ X1489 @ (^[Z0:$i]:((((((X1490))&(((Z0)=(X1491)))))|(((~((X1490)))&(((Z0)=(X1492)))))))))))))))=>(![X1493:$i, X1494:$o, X1495:$i]:(((in @ X1495 @ X1493)=>![X1496:$i]:(((in @ X1496 @ X1493)=>(~(X1494)=>((dsetconstr @ X1493 @ (^[Z0:$i]:((((((X1494))&(((Z0)=(X1495)))))|(((~((X1494)))&(((Z0)=(X1496)))))))))=(setadjoin @ X1496 @ emptyset)))))))=>(![X1497:$i, X1498:$o, X1499:$i]:(((in @ X1499 @ X1497)=>![X1500:$i]:(((in @ X1500 @ X1497)=>((X1498)=>(in @ X1499 @ (dsetconstr @ X1497 @ (^[Z0:$i]:((((((X1498))&(((Z0)=(X1499)))))|(((~((X1498)))&(((Z0)=(X1500)))))))))))))))=>(![X1501:$i, X1502:$o, X1503:$i]:(((in @ X1503 @ X1501)=>![X1504:$i]:(((in @ X1504 @ X1501)=>((X1502)=>((dsetconstr @ X1501 @ (^[Z0:$i]:((((((X1502))&(((Z0)=(X1503)))))|(((~((X1502)))&(((Z0)=(X1504)))))))))=(setadjoin @ X1503 @ emptyset)))))))=>(![X1505:$i, X1506:$o, X1507:$i]:(((in @ X1507 @ X1505)=>![X1508:$i]:(((in @ X1508 @ X1505)=>(singleton @ (dsetconstr @ X1505 @ (^[Z0:$i]:((((((X1506))&(((Z0)=(X1507)))))|(((~((X1506)))&(((Z0)=(X1508))))))))))))))=>(![X1509:$i, X1510:$o, X1511:$i]:(((in @ X1511 @ X1509)=>![X1512:$i]:(((in @ X1512 @ X1509)=>(in @ (if @ X1509 @ ((X1510)) @ X1511 @ X1512) @ X1509)))))=>(![X1513:$i]:(((singleton @ X1513)=>![X1514:$i]:(((in @ X1514 @ X1513)=>((setunion @ X1513)=(X1514))))))=>(![X1515:$i, X1516:$o, X1517:$i]:(((in @ X1517 @ X1515)=>![X1518:$i]:(((in @ X1518 @ X1515)=>((X1516)=>((if @ X1515 @ ((X1516)) @ X1517 @ X1518)=(X1517)))))))=>(![X1519:$i, X1520:$o, X1521:$i]:(((in @ X1521 @ X1519)=>![X1522:$i]:(((in @ X1522 @ X1519)=>(~(X1520)=>((if @ X1519 @ ((X1520)) @ X1521 @ X1522)=(X1522)))))))=>(![X1523:$i, X1524:$o, X1525:$i]:(((in @ X1525 @ X1523)=>![X1526:$i]:(((in @ X1526 @ X1523)=>(in @ (if @ X1523 @ ((X1524)) @ X1525 @ X1526) @ (setadjoin @ X1525 @ (setadjoin @ X1526 @ emptyset)))))))=>(![X1527:$i, X1528:$i]:(((in @ X1528 @ (powerset @ X1527))=>![X1529:$i]:(((in @ X1529 @ (powerset @ X1527))=>(in @ (binintersect @ X1528 @ X1529) @ (powerset @ X1527))))))=>(![X1530:$i, X1531:$i]:(((in @ X1531 @ (powerset @ X1530))=>![X1532:$i]:(((in @ X1532 @ (powerset @ X1530))=>(in @ (binunion @ X1531 @ X1532) @ (powerset @ X1530))))))=>(![X1533:$i, X1534:$i]:(((in @ X1534 @ (powerset @ X1533))=>(in @ (powerset @ X1534) @ (powerset @ (powerset @ X1533)))))=>(![X1535:$i, X1536:$i]:(((in @ X1536 @ (powerset @ X1535))=>![X1537:$i]:(((in @ X1537 @ (powerset @ X1535))=>(in @ (setminus @ X1536 @ X1537) @ (powerset @ X1535))))))=>(![X1538:$i, X1539:$i]:(((in @ X1539 @ (powerset @ X1538))=>(in @ (setminus @ X1538 @ X1539) @ (powerset @ X1538))))=>(![X1540:$i, X1541:$i]:(((in @ X1541 @ (powerset @ X1540))=>![X1542:$i]:(((in @ X1542 @ (powerset @ X1540))=>(![X1543:$i]:(((in @ X1543 @ X1540)=>((in @ X1543 @ X1541)=>(in @ X1543 @ X1542))))=>(![X1544:$i]:(((in @ X1544 @ X1540)=>((in @ X1544 @ X1542)=>(in @ X1544 @ X1541))))=>((X1541)=(X1542))))))))=>(![X1545:$i, X1546:$i]:(((in @ X1546 @ (powerset @ X1545))=>![X1547:$i]:(((in @ X1547 @ (powerset @ X1545))=>(![X1548:$i]:(((in @ X1548 @ X1545)=>((in @ X1548 @ X1546)=>(in @ X1548 @ X1547))))=>(subset @ X1546 @ X1547))))))=>(![X1549:$i, X1550:$i]:(((in @ X1550 @ (powerset @ X1549))=>![X1551:$i]:(((in @ X1551 @ (powerset @ X1549))=>(![X1552:$i]:(((in @ X1552 @ X1549)=>((in @ X1552 @ X1550)=>(in @ X1552 @ X1551))))=>(in @ X1550 @ (powerset @ X1551)))))))=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_261, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_262]), foundationAx]), wellorderingAx]), c_0_263]), c_0_264]), c_0_265]), c_0_266]), c_0_267]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_268]), setext]), emptyI]), noeltsimpempty]), c_0_269]), c_0_270]), c_0_271]), c_0_272]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_273]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_274]), c_0_275]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_276]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_277]), c_0_278]), c_0_279]), inCongP]), in__Cong]), c_0_280]), c_0_281]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_282]), c_0_283]), c_0_284]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_285]), c_0_286]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), kpairiskpair]), kpairp]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), cartprodmempair]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_287]), c_0_288]), c_0_289]), c_0_290]), singletonsuniq]), setukpairinjL1]), c_0_291]), theprop]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_292]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_293]), c_0_294]), c_0_295]), c_0_296]), c_0_297]), c_0_298]), c_0_299]), c_0_300]), c_0_301]), app]), infuncsetfunc]), ap2p]), funcinfuncset]), c_0_302]), c_0_303]), c_0_304]), c_0_305]), c_0_306]), c_0_307]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), c_0_308]), c_0_309]), funcext]), funcext2]), ap2apEq1]), ap2apEq2]), c_0_310]), c_0_311]), c_0_312]), c_0_313]), c_0_314]), c_0_315]), c_0_316]), c_0_317]), c_0_318]), c_0_319]), ifp]), theeq]), iftrue]), iffalse]), iftrueorfalse]), binintersectT_lem]), binunionT_lem]), powersetT_lem]), setminusT_lem]), complementT_lem]), setextT]), subsetTI]), powersetTI1])])]), c_0_320])).
% 0.60/0.42 thf(c_0_322, negated_conjecture, ![X1553:$i, X1554:$i, X1556:$i, X1557:$i, X1558:$i, X1559:$i, X1560:$i, X1561:$i, X1562:$i, X1563:$i, X1564:$i, X1566:$i, X1567:$i, X1569:$i, X1570:$i, X1571:$i, X1572:$i, X1573:$i, X1575:$i, X1576:$i > $i > $o, X1577:$i, X1579:$i, X1582:$i, X1584:$i, X1585:$i, X1586:$i, X1587:$i, X1589:$i, X1590:$i > $o, X1591:$i, X1593:$i, X1594:$i > $o, X1595:$i, X1596:$i, X1597:$i > $o, X1598:$i, X1599:$i, X1600:$i > $o, X1601:$i, X1602:$i > $o, X1603:$i, X1606:$i, X1607:$o, X1608:$i, X1609:$i, X1610:$o, X1611:$i, X1612:$i, X1613:$i > $o, X1614:$i, X1617:$i, X1618:$i, X1621:$i, X1623:$i, X1625:$i, X1626:$i > $o, X1627:$i, X1628:$i, X1630:$i, X1631:$i > $o, X1632:$i, X1633:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1638:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$o, X1644:$i, X1645:$i, X1646:$i, X1647:$i, X1648:$i, X1649:$i, X1651:$i, X1652:$i, X1653:$i, X1654:$i, X1655:$i, X1656:$i, X1657:$i, X1658:$i, X1659:$i, X1660:$i, X1661:$o, X1663:$i, X1664:$i, X1665:$i > $o, X1666:$i, X1669:$i, X1670:$i, X1671:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i, X1679:$i, X1680:$i, X1681:$i, X1682:$i, X1683:$i, X1684:$i, X1685:$i, X1686:$i, X1687:$i, X1688:$i, X1689:$i > $o, X1690:$i, X1691:$i > $o, X1692:$i, X1693:$i, X1694:$i > $o, X1695:$i, X1697:$i, X1698:$i > $o, X1700:$i, X1701:$i, X1702:$i > $o, X1704:$i, X1705:$i, X1706:$i > $o, X1707:$i, X1709:$o, X1710:$o, X1711:$i, X1712:$i > $o, X1714:$i, X1715:$i, X1716:$i > $o, X1717:$i, X1719:$i > $o, X1720:$i, X1723:$i, X1724:$i > $o, X1725:$i, X1729:$i, X1730:$i > $o, X1731:$i, X1734:$i, X1735:$i, X1736:$i, X1737:$i, X1738:$i, X1739:$i, X1740:$i, X1741:$i, X1742:$i, X1743:$i > $o, X1744:$i, X1746:$i, X1747:$i, X1748:$i > $o, X1749:$i > $o, X1752:$i, X1755:$i, X1756:$i, X1759:$i, X1760:$i, X1761:$i, X1762:$i, X1763:$i, X1764:$i, X1765:$i, X1766:$i, X1767:$i, X1768:$i > $o, X1769:$i, X1771:$i, X1772:$i, X1773:$i > $o, X1774:$i > $o, X1777:$i, X1779:$i, X1781:$i, X1782:$i, X1783:$i > $o, X1784:$i > $o, X1787:$i, X1788:$i, X1790:$i, X1791:$i, X1792:$i, X1793:$i, X1794:$i, X1795:$i, X1797:$i, X1798:$i, X1799:$i, X1800:$i, X1801:$i, X1802:$i, X1803:$i, X1804:$i, X1805:$i, X1806:$i, X1807:$i, X1808:$i, X1809:$i, X1810:$i, X1811:$i, X1812:$i, X1813:$i, X1814:$i, X1815:$i, X1816:$i, X1817:$i, X1818:$i, X1819:$i, X1820:$i, X1821:$i, X1822:$i, X1823:$i, X1824:$i, X1825:$i, X1826:$i, X1827:$i, X1828:$i, X1829:$i, X1830:$i, X1831:$i, X1832:$i, X1833:$i, X1834:$i > $o, X1835:$i, X1836:$i > $o, X1837:$i, X1838:$i, X1839:$i, X1840:$i, X1841:$i, X1842:$i, X1843:$i, X1844:$i, X1845:$i, X1846:$i, X1847:$i, X1848:$o, X1849:$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, X1877:$i, X1878:$i, X1879:$i, X1880:$i, X1881:$i, X1882:$i, X1883:$i, X1884:$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:$i, X1916:$o, X1917:$i, X1918:$i, X1919:$i, X1920:$i, X1921:$i, X1922:$i, X1923:$i, X1924:$i, X1925:$i, X1926:$i, X1927:$i, X1928:$i, X1929:$i, X1930:$i, X1931:$i, X1932:$i, X1933:$i, X1934:$i, X1935:$i, X1936:$i, X1937:$i, X1938:$i, X1939:$i, X1940:$i, X1941:$i, X1942:$i, X1943:$i, X1944:$i, X1945:$i, X1946:$i, X1947:$i, X1948:$i, X1949:$i, X1950:$i, X1951:$i, X1952:$i, X1953:$i, X1954:$i, X1955:$i, X1956:$i, X1957:$i, X1958:$i, X1959:$i, X1960:$i, X1961:$i, X1962:$i, X1963:$i, X1964:$i, X1965:$i, X1966:$i, X1967:$i, X1968:$i, X1969:$i, X1970:$i, X1971:$i, X1972:$i, X1973:$i, X1974:$i, X1975:$i, X1978:$i, X1979:$i, X1980:$i, X1981:$i, X1982:$i, X1984:$i, X1985:$i, X1986:$i, X1987:$i, X1988:$i > $o, X1991:$i, X1992:$i, X1993:$i > $o, X1995:$i, X1996:$i > $o, X1997:$i, X1999:$i, X2000:$i > $o, X2003:$i, X2004:$i, X2005:$i, X2006:$i, X2007:$i, X2008:$i, X2009:$i, X2010:$i, X2011:$i, X2012:$i, X2013:$i, X2014:$i, X2015:$i, X2016:$i, X2017:$i, X2018:$i, X2019:$i, X2020:$i, X2021:$i, X2022:$i, X2023:$i, X2024:$i, X2025:$i, X2026:$i, X2027:$i, X2028:$i, X2029:$i, X2030:$i, X2031:$i, X2032:$i, X2033:$i, X2034:$i, X2035:$i, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2040:$i, X2041:$i, X2042:$i, X2043:$i, X2044:$i, X2045:$i, X2046:$i, X2047:$i, X2048:$i, X2049:$i, X2050:$i, X2051:$i, X2052:$i, X2053:$i, X2054:$i, X2055:$i, X2056:$i, X2057:$i, X2058:$i, X2059:$i, X2060:$i, X2061:$i, X2062:$i, X2063:$i, X2064:$i, X2065:$i, X2066:$i, X2067:$i, X2068:$i, X2069:$i, X2070:$i, X2071:$i, X2072:$i, X2073:$i, X2074:$i, X2075:$i > $i > $o, X2076:$i, X2077:$i, X2078:$i, X2079:$i, X2080:$i > $i > $o, X2081:$i, X2082:$i, X2083:$i > $i > $o, X2084:$i, X2085:$i, X2086:$i > $i > $o, X2087:$i, X2088:$i, X2089:$i, X2090:$i, X2091:$i > $i > $o, X2092:$i, X2093:$i, X2094:$i, X2095:$i, X2096:$i > $i > $o, X2097:$i, X2098:$i, X2099:$i, X2100:$i, X2101:$i > $i > $o, X2102:$i, X2103:$i, X2104:$i, X2105:$i, X2106:$i, X2107:$i, X2108:$i, X2109:$i, X2110:$i, X2111:$i, X2112:$i, X2113:$i, X2114:$i, X2115:$i, X2116:$i, X2117:$i, X2118:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i, X2127:$i, X2128:$i > $i, X2130:$i, X2131:$i, X2132:$i > $i, X2134:$i, X2135:$i, X2136:$i > $i, X2138:$i, X2139:$i, X2140:$i, X2141:$i > $o, X2144:$i, X2145:$i, X2146:$i, X2147:$i, X2148:$i > $o, X2151:$i, X2152:$i, X2153:$i > $o, X2154:$i, X2155:$i, X2156:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$i, X2162:$i, X2163:$i, X2164:$i, X2165:$i, X2166:$i, X2167:$i, X2168:$i, X2169:$i, X2170:$i, X2171:$i, X2172:$i, X2174:$i, X2175:$i, X2176:$i, X2177:$i, X2178:$i, X2179:$i, X2180:$i, X2181:$i, X2182:$i, X2183:$i, X2184:$i, X2187:$i, X2188:$i, X2189:$i, X2190:$i, X2195:$i, X2196:$i, X2197:$i, X2198:$i, X2200:$i, X2201:$i, X2202:$i, X2203:$i, X2205:$i, X2206:$i, X2207:$i, X2208:$i, X2209:$i, X2210:$i, X2211:$i, X2212:$i, X2213:$i, X2214:$i, X2215:$i > $i, X2217:$i, X2218:$i, X2219:$i, X2220:$i, X2221:$i, X2222:$i, X2223:$i > $i, X2225:$i, X2226:$i, X2227:$i > $i, X2229:$i, X2230:$i, X2231:$i, X2232:$i, X2233:$i, X2234:$o, X2235:$i, X2236:$i, X2237:$i, X2238:$o, X2239:$i, X2240:$i, X2241:$i, X2242:$o, X2243:$i, X2244:$i, X2245:$i, X2246:$o, X2247:$i, X2248:$i, X2249:$i, X2250:$o, X2251:$i, X2252:$i, X2253:$i, X2254:$o, X2255:$i, X2256:$i, X2257:$i, X2258:$i, X2259:$i, X2260:$o, X2261:$i, X2262:$i, X2263:$i, X2264:$o, X2265:$i, X2266:$i, X2267:$i, X2268:$o, X2269:$i, X2270:$i, X2271:$i, X2272:$i, X2273:$i, X2274:$i, X2275:$i, X2276:$i, X2277:$i, X2278:$i, X2279:$i, X2280:$i, X2281:$i, X2282:$i, X2283:$i, X2284:$i, X2285:$i, X2286:$i, X2289:$i, X2290:$i, X2291:$i, X2293:$i, X2294:$i, X2295:$i]:((((~(in @ (esk1_2 @ X1553 @ X1554) @ X1553)|~(in @ (esk1_2 @ X1553 @ X1554) @ X1554)|((X1553)=(X1554)))&((in @ (esk1_2 @ X1553 @ X1554) @ X1553)|(in @ (esk1_2 @ X1553 @ X1554) @ X1554)|((X1553)=(X1554))))&(~(in @ X1556 @ emptyset)&(((~(in @ X1559 @ (setadjoin @ X1557 @ X1558))|(((X1559)=(X1557))|(in @ X1559 @ X1558)))&((((X1559)!=(X1557))|(in @ X1559 @ (setadjoin @ X1557 @ X1558)))&(~(in @ X1559 @ X1558)|(in @ X1559 @ (setadjoin @ X1557 @ X1558)))))&(((~(in @ X1561 @ (powerset @ X1560))|(~(in @ X1562 @ X1561)|(in @ X1562 @ X1560)))&(((in @ (esk2_2 @ X1563 @ X1564) @ X1564)|(in @ X1564 @ (powerset @ X1563)))&(~(in @ (esk2_2 @ X1563 @ X1564) @ X1563)|(in @ X1564 @ (powerset @ X1563)))))&(((((in @ X1567 @ (esk3_2 @ X1566 @ X1567))|~(in @ X1567 @ (setunion @ X1566)))&((in @ (esk3_2 @ X1566 @ X1567) @ X1566)|~(in @ X1567 @ (setunion @ X1566))))&(~(in @ X1570 @ X1571)|~(in @ X1571 @ X1569)|(in @ X1570 @ (setunion @ X1569))))&((in @ emptyset @ omega)&((~(in @ X1572 @ omega)|(in @ (setadjoin @ X1572 @ X1572) @ omega))&(((((in @ (esk4_1 @ X1573) @ omega)|~(in @ emptyset @ X1573)|(~(in @ X1575 @ omega)|(in @ X1575 @ X1573)))&((in @ (esk4_1 @ X1573) @ X1573)|~(in @ emptyset @ X1573)|(~(in @ X1575 @ omega)|(in @ X1575 @ X1573))))&(~(in @ (setadjoin @ (esk4_1 @ X1573) @ (esk4_1 @ X1573)) @ X1573)|~(in @ emptyset @ X1573)|(~(in @ X1575 @ omega)|(in @ X1575 @ X1573))))&((((((in @ (esk8_3 @ X1576 @ X1577 @ X1582) @ X1577)|~(in @ X1582 @ (esk7_2 @ X1576 @ X1577))|(in @ (esk5_2 @ X1576 @ X1577) @ X1577))&((X1576 @ (esk8_3 @ X1576 @ X1577 @ X1582) @ X1582)|~(in @ X1582 @ (esk7_2 @ X1576 @ X1577))|(in @ (esk5_2 @ X1576 @ X1577) @ X1577)))&(~(in @ X1585 @ X1577)|~(X1576 @ X1585 @ X1584)|(in @ X1584 @ (esk7_2 @ X1576 @ X1577))|(in @ (esk5_2 @ X1576 @ X1577) @ X1577)))&(((((in @ (esk8_3 @ X1576 @ X1577 @ X1582) @ X1577)|~(in @ X1582 @ (esk7_2 @ X1576 @ X1577))|((X1576 @ (esk5_2 @ X1576 @ X1577) @ (esk6_3 @ X1576 @ X1577 @ X1579))|~(X1576 @ (esk5_2 @ X1576 @ X1577) @ X1579)))&((X1576 @ (esk8_3 @ X1576 @ X1577 @ X1582) @ X1582)|~(in @ X1582 @ (esk7_2 @ X1576 @ X1577))|((X1576 @ (esk5_2 @ X1576 @ X1577) @ (esk6_3 @ X1576 @ X1577 @ X1579))|~(X1576 @ (esk5_2 @ X1576 @ X1577) @ X1579))))&(~(in @ X1585 @ X1577)|~(X1576 @ X1585 @ X1584)|(in @ X1584 @ (esk7_2 @ X1576 @ X1577))|((X1576 @ (esk5_2 @ X1576 @ X1577) @ (esk6_3 @ X1576 @ X1577 @ X1579))|~(X1576 @ (esk5_2 @ X1576 @ X1577) @ X1579))))&((((in @ (esk8_3 @ X1576 @ X1577 @ X1582) @ X1577)|~(in @ X1582 @ (esk7_2 @ X1576 @ X1577))|(((X1579)!=(esk6_3 @ X1576 @ X1577 @ X1579))|~(X1576 @ (esk5_2 @ X1576 @ X1577) @ X1579)))&((X1576 @ (esk8_3 @ X1576 @ X1577 @ X1582) @ X1582)|~(in @ X1582 @ (esk7_2 @ X1576 @ X1577))|(((X1579)!=(esk6_3 @ X1576 @ X1577 @ X1579))|~(X1576 @ (esk5_2 @ X1576 @ X1577) @ X1579))))&(~(in @ X1585 @ X1577)|~(X1576 @ X1585 @ X1584)|(in @ X1584 @ (esk7_2 @ X1576 @ X1577))|(((X1579)!=(esk6_3 @ X1576 @ X1577 @ X1579))|~(X1576 @ (esk5_2 @ X1576 @ X1577) @ X1579))))))&((((in @ (esk9_1 @ X1586) @ X1586)|~(in @ X1587 @ X1586))&(~(in @ X1589 @ (esk9_1 @ X1586))|~(in @ X1589 @ X1586)|~(in @ X1587 @ X1586)))&((epred1_0)&((((X1590 @ (esk10_2 @ X1590 @ X1591))|~(X1590 @ X1591)|(X1590 @ (descr @ X1590)))&(((X1591)!=(esk10_2 @ X1590 @ X1591))|~(X1590 @ X1591)|(X1590 @ (descr @ X1590))))&((~(in @ X1595 @ X1593)|(~(X1594 @ X1595)|(in @ X1595 @ (dsetconstr @ X1593 @ X1594))))&((~(in @ X1598 @ (dsetconstr @ X1596 @ X1597))|(in @ X1598 @ X1596))&((~(in @ X1601 @ (dsetconstr @ X1599 @ X1600))|(X1600 @ X1601))&(((((X1602 @ (esk12_1 @ X1602))|((X1602 @ (esk11_2 @ X1602 @ X1603))|~(X1602 @ X1603)))&(~(X1602 @ X1606)|((esk12_1 @ X1602)=(X1606))|((X1602 @ (esk11_2 @ X1602 @ X1603))|~(X1602 @ X1603))))&(((X1602 @ (esk12_1 @ X1602))|(((X1603)!=(esk11_2 @ X1602 @ X1603))|~(X1602 @ X1603)))&(~(X1602 @ X1606)|((esk12_1 @ X1602)=(X1606))|(((X1603)!=(esk11_2 @ X1602 @ X1603))|~(X1602 @ X1603)))))&((~(in @ X1608 @ (prop2set @ ((X1607))))|(X1607))&((~(in @ X1609 @ emptyset)|(X1610))&((~(in @ X1611 @ emptyset)|~($true))&(~(in @ X1612 @ emptyset)&((((X1613 @ (esk13_2 @ X1613 @ X1614))|~(X1613 @ X1614)|(X1613 @ (esk14_1 @ X1613)))&(((X1614)!=(esk13_2 @ X1613 @ X1614))|~(X1613 @ X1614)|(X1613 @ (esk14_1 @ X1613))))&(((((in @ (esk16_2 @ X1617 @ X1618) @ X1618)|((X1617)=(X1618))|(in @ (esk15_2 @ X1617 @ X1618) @ X1617))&(~(in @ (esk16_2 @ X1617 @ X1618) @ X1617)|((X1617)=(X1618))|(in @ (esk15_2 @ X1617 @ X1618) @ X1617)))&(((in @ (esk16_2 @ X1617 @ X1618) @ X1618)|((X1617)=(X1618))|~(in @ (esk15_2 @ X1617 @ X1618) @ X1618))&(~(in @ (esk16_2 @ X1617 @ X1618) @ X1617)|((X1617)=(X1618))|~(in @ (esk15_2 @ X1617 @ X1618) @ X1618))))&(((in @ (esk17_1 @ X1621) @ X1621)|((X1621)=(emptyset)))&(((in @ (esk18_1 @ X1623) @ X1623)|((X1623)=(emptyset)))&(((~(in @ X1627 @ (dsetconstr @ X1625 @ X1626))|(X1626 @ X1627)|~(in @ X1627 @ X1625))&(~(X1626 @ X1627)|(in @ X1627 @ (dsetconstr @ X1625 @ X1626))|~(in @ X1627 @ X1625)))&((((X1628)=(emptyset))|(in @ (esk19_1 @ X1628) @ X1628))&((~(in @ X1632 @ X1630)|(~(X1631 @ X1632)|((dsetconstr @ X1630 @ X1631)!=(emptyset))))&((~(in @ X1634 @ X1633)|((X1633)!=(emptyset)))&((in @ X1635 @ (setadjoin @ X1635 @ X1636))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1639 @ X1638)|(in @ X1639 @ (setadjoin @ X1637 @ X1638)))&(((((in @ X1642 @ X1641)|(X1643)|((X1642)=(X1640))|~(in @ X1642 @ (setadjoin @ X1640 @ X1641)))&(~(X1643)|(X1643)|((X1642)=(X1640))|~(in @ X1642 @ (setadjoin @ X1640 @ X1641))))&(((in @ X1642 @ X1641)|(X1643)|~(X1643)|~(in @ X1642 @ (setadjoin @ X1640 @ X1641)))&(~(X1643)|(X1643)|~(X1643)|~(in @ X1642 @ (setadjoin @ X1640 @ X1641)))))&((~(in @ X1646 @ (setadjoin @ X1644 @ X1645))|(((X1646)=(X1644))|(in @ X1646 @ X1645)))&(((dsetconstr @ X1647 @ (^[Z0:$i]:($true)))=(X1647))&((((in @ (esk20_2 @ X1648 @ X1649) @ X1649)|(in @ X1649 @ (powerset @ X1648)))&(~(in @ (esk20_2 @ X1648 @ X1649) @ X1648)|(in @ X1649 @ (powerset @ X1648))))&((in @ emptyset @ (powerset @ X1651))&((in @ emptyset @ (powerset @ X1652))&((~(in @ X1654 @ (powerset @ X1653))|(~(in @ X1655 @ X1654)|(in @ X1655 @ X1653)))&((~(in @ X1657 @ X1658)|(~(in @ X1658 @ X1656)|(in @ X1657 @ (setunion @ X1656))))&((((in @ X1660 @ (esk21_3 @ X1659 @ X1660 @ X1661))|(X1661)|~(in @ X1660 @ (setunion @ X1659)))&(((in @ (esk21_3 @ X1659 @ X1660 @ X1661) @ X1659)|(X1661)|~(in @ X1660 @ (setunion @ X1659)))&(~(X1661)|(X1661)|~(in @ X1660 @ (setunion @ X1659)))))&((~(in @ X1664 @ X1663)|(in @ X1664 @ (powerset @ (setunion @ X1663))))&((((~(X1665 @ X1669)|((X1669)=(esk23_1 @ X1665))|((X1665 @ (esk22_2 @ X1665 @ X1666))|~(X1665 @ X1666)))&(((X1670)!=(esk23_1 @ X1665))|(X1665 @ X1670)|((X1665 @ (esk22_2 @ X1665 @ X1666))|~(X1665 @ X1666))))&((~(X1665 @ X1669)|((X1669)=(esk23_1 @ X1665))|(((X1666)!=(esk22_2 @ X1665 @ X1666))|~(X1665 @ X1666)))&(((X1670)!=(esk23_1 @ X1665))|(X1665 @ X1670)|(((X1666)!=(esk22_2 @ X1665 @ X1666))|~(X1665 @ X1666)))))&((((in @ (esk24_1 @ X1671) @ X1671)|((X1671)=(emptyset)))&(($true)|((X1671)=(emptyset))))&((~(in @ X1673 @ (setadjoin @ X1674 @ emptyset))|((X1673)=(X1674)))&((((X1675)=(X1676))|~(in @ X1676 @ (setadjoin @ X1675 @ emptyset)))&((((X1677)!=(X1678))|(in @ X1677 @ (setadjoin @ X1678 @ emptyset)))&((~(in @ X1679 @ (setadjoin @ X1680 @ emptyset))|(in @ X1680 @ (setadjoin @ X1679 @ emptyset)))&((~(in @ X1683 @ (setadjoin @ X1681 @ (setadjoin @ X1682 @ emptyset)))|(((X1683)=(X1681))|((X1683)=(X1682))))&((in @ X1684 @ (setadjoin @ X1684 @ (setadjoin @ X1685 @ emptyset)))&((in @ X1687 @ (setadjoin @ X1686 @ (setadjoin @ X1687 @ emptyset)))&((~(in @ X1690 @ X1688)|~(X1689 @ X1690)|(((dsetconstr @ X1688 @ X1689)!=(emptyset))|~($true)))&((~(in @ X1692 @ emptyset)|(X1691 @ X1692))&((((in @ (esk25_2 @ X1693 @ X1694) @ X1693)|(~(in @ X1695 @ X1693)|(X1694 @ X1695)))&(~(X1694 @ (esk25_2 @ X1693 @ X1694))|(~(in @ X1695 @ X1693)|(X1694 @ X1695))))&((((in @ (esk26_2 @ X1697 @ X1698) @ X1697)|(~(in @ X1700 @ X1697)|~(X1698 @ X1700)))&((X1698 @ (esk26_2 @ X1697 @ X1698))|(~(in @ X1700 @ X1697)|~(X1698 @ X1700))))&((((in @ (esk27_2 @ X1701 @ X1702) @ X1701)|(~(in @ X1704 @ X1701)|~(X1702 @ X1704)))&((X1702 @ (esk27_2 @ X1701 @ X1702))|(~(in @ X1704 @ X1701)|~(X1702 @ X1704))))&((((in @ (esk28_2 @ X1705 @ X1706) @ X1705)|(~(in @ X1707 @ X1705)|(X1706 @ X1707)))&(~(X1706 @ (esk28_2 @ X1705 @ X1706))|(~(in @ X1707 @ X1705)|(X1706 @ X1707))))&((~(X1709)|(in @ emptyset @ (prop2set @ ((X1709)))))&((~(X1710)|(set2prop @ (prop2set @ ((X1710)))))&((((in @ (esk29_2 @ X1711 @ X1712) @ X1711)|(~(in @ X1714 @ X1711)|~(X1712 @ X1714)))&((X1712 @ (esk29_2 @ X1711 @ X1712))|(~(in @ X1714 @ X1711)|~(X1712 @ X1714))))&((((in @ (esk30_2 @ X1715 @ X1716) @ X1715)|(~(in @ X1717 @ X1715)|(X1716 @ X1717)))&(~(X1716 @ (esk30_2 @ X1715 @ X1716))|(~(in @ X1717 @ X1715)|(X1716 @ X1717))))&(((((X1719 @ (esk32_1 @ X1719))|((X1719 @ (esk31_2 @ X1719 @ X1720))|~(X1719 @ X1720)))&(~(X1719 @ X1723)|((esk32_1 @ X1719)=(X1723))|((X1719 @ (esk31_2 @ X1719 @ X1720))|~(X1719 @ X1720))))&(((X1719 @ (esk32_1 @ X1719))|(((X1720)!=(esk31_2 @ X1719 @ X1720))|~(X1719 @ X1720)))&(~(X1719 @ X1723)|((esk32_1 @ X1719)=(X1723))|(((X1720)!=(esk31_2 @ X1719 @ X1720))|~(X1719 @ X1720)))))&(((((X1724 @ (esk35_1 @ X1724))|(X1724 @ (esk33_1 @ X1724))|~(X1724 @ X1725))&(~(X1724 @ X1729)|((esk35_1 @ X1724)=(X1729))|(X1724 @ (esk33_1 @ X1724))|~(X1724 @ X1725)))&((((X1724 @ (esk35_1 @ X1724))|(X1724 @ (esk34_1 @ X1724))|~(X1724 @ X1725))&(~(X1724 @ X1729)|((esk35_1 @ X1724)=(X1729))|(X1724 @ (esk34_1 @ X1724))|~(X1724 @ X1725)))&(((X1724 @ (esk35_1 @ X1724))|((esk33_1 @ X1724)!=(esk34_1 @ X1724))|~(X1724 @ X1725))&(~(X1724 @ X1729)|((esk35_1 @ X1724)=(X1729))|((esk33_1 @ X1724)!=(esk34_1 @ X1724))|~(X1724 @ X1725)))))&(((((X1730 @ (esk37_1 @ X1730))|(~(X1730 @ (esk36_2 @ X1730 @ X1731))|((esk36_2 @ X1730 @ X1731)!=(X1731))))&(~(X1730 @ X1734)|((esk37_1 @ X1730)=(X1734))|(~(X1730 @ (esk36_2 @ X1730 @ X1731))|((esk36_2 @ X1730 @ X1731)!=(X1731)))))&(((X1730 @ (esk37_1 @ X1730))|((X1730 @ (esk36_2 @ X1730 @ X1731))|((esk36_2 @ X1730 @ X1731)=(X1731))))&(~(X1730 @ X1734)|((esk37_1 @ X1730)=(X1734))|((X1730 @ (esk36_2 @ X1730 @ X1731))|((esk36_2 @ X1730 @ X1731)=(X1731))))))&((((X1735)!=(X1736))|(((X1737)!=(X1738))|(~(in @ X1737 @ X1735)|(in @ X1738 @ X1736))))&(((~(in @ X1741 @ X1739)|(in @ X1742 @ X1740)|((X1741)!=(X1742))|((X1739)!=(X1740)))&(~(in @ X1742 @ X1740)|(in @ X1741 @ X1739)|((X1741)!=(X1742))|((X1739)!=(X1740))))&((((X1743 @ (esk38_2 @ X1743 @ X1744))|~(X1743 @ X1744)|(~(X1743 @ X1746)|(~(X1743 @ X1747)|((X1746)=(X1747)))))&(((X1744)!=(esk38_2 @ X1743 @ X1744))|~(X1743 @ X1744)|(~(X1743 @ X1746)|(~(X1743 @ X1747)|((X1746)=(X1747))))))&(((((((X1749 @ (esk42_2 @ X1748 @ X1749))|((X1748 @ (esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|((esk39_2 @ X1748 @ X1749)=(esk40_2 @ X1748 @ X1749)))&(~(X1749 @ X1755)|((esk42_2 @ X1748 @ X1749)=(X1755))|((X1748 @ (esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|((esk39_2 @ X1748 @ X1749)=(esk40_2 @ X1748 @ X1749))))&(((X1749 @ (esk42_2 @ X1748 @ X1749))|(((X1752)!=(esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|((esk39_2 @ X1748 @ X1749)=(esk40_2 @ X1748 @ X1749)))&(~(X1749 @ X1755)|((esk42_2 @ X1748 @ X1749)=(X1755))|(((X1752)!=(esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|((esk39_2 @ X1748 @ X1749)=(esk40_2 @ X1748 @ X1749)))))&((((X1748 @ (esk44_2 @ X1748 @ X1749))|((X1749 @ (esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|((esk39_2 @ X1748 @ X1749)=(esk40_2 @ X1748 @ X1749)))&(~(X1748 @ X1759)|((esk44_2 @ X1748 @ X1749)=(X1759))|((X1749 @ (esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|((esk39_2 @ X1748 @ X1749)=(esk40_2 @ X1748 @ X1749))))&(((X1748 @ (esk44_2 @ X1748 @ X1749))|(((X1756)!=(esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|((esk39_2 @ X1748 @ X1749)=(esk40_2 @ X1748 @ X1749)))&(~(X1748 @ X1759)|((esk44_2 @ X1748 @ X1749)=(X1759))|(((X1756)!=(esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|((esk39_2 @ X1748 @ X1749)=(esk40_2 @ X1748 @ X1749))))))&((((((X1749 @ (esk42_2 @ X1748 @ X1749))|((X1748 @ (esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|(~(X1748 @ (esk39_2 @ X1748 @ X1749))|~(X1749 @ (esk40_2 @ X1748 @ X1749))))&(~(X1749 @ X1755)|((esk42_2 @ X1748 @ X1749)=(X1755))|((X1748 @ (esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|(~(X1748 @ (esk39_2 @ X1748 @ X1749))|~(X1749 @ (esk40_2 @ X1748 @ X1749)))))&(((X1749 @ (esk42_2 @ X1748 @ X1749))|(((X1752)!=(esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|(~(X1748 @ (esk39_2 @ X1748 @ X1749))|~(X1749 @ (esk40_2 @ X1748 @ X1749))))&(~(X1749 @ X1755)|((esk42_2 @ X1748 @ X1749)=(X1755))|(((X1752)!=(esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|(~(X1748 @ (esk39_2 @ X1748 @ X1749))|~(X1749 @ (esk40_2 @ X1748 @ X1749))))))&((((X1748 @ (esk44_2 @ X1748 @ X1749))|((X1749 @ (esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|(~(X1748 @ (esk39_2 @ X1748 @ X1749))|~(X1749 @ (esk40_2 @ X1748 @ X1749))))&(~(X1748 @ X1759)|((esk44_2 @ X1748 @ X1749)=(X1759))|((X1749 @ (esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|(~(X1748 @ (esk39_2 @ X1748 @ X1749))|~(X1749 @ (esk40_2 @ X1748 @ X1749)))))&(((X1748 @ (esk44_2 @ X1748 @ X1749))|(((X1756)!=(esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|(~(X1748 @ (esk39_2 @ X1748 @ X1749))|~(X1749 @ (esk40_2 @ X1748 @ X1749))))&(~(X1748 @ X1759)|((esk44_2 @ X1748 @ X1749)=(X1759))|(((X1756)!=(esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|(~(X1748 @ (esk39_2 @ X1748 @ X1749))|~(X1749 @ (esk40_2 @ X1748 @ X1749)))))))&(((((X1749 @ (esk42_2 @ X1748 @ X1749))|((X1748 @ (esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|((X1748 @ (esk39_2 @ X1748 @ X1749))|(X1749 @ (esk40_2 @ X1748 @ X1749))))&(~(X1749 @ X1755)|((esk42_2 @ X1748 @ X1749)=(X1755))|((X1748 @ (esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|((X1748 @ (esk39_2 @ X1748 @ X1749))|(X1749 @ (esk40_2 @ X1748 @ X1749)))))&(((X1749 @ (esk42_2 @ X1748 @ X1749))|(((X1752)!=(esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|((X1748 @ (esk39_2 @ X1748 @ X1749))|(X1749 @ (esk40_2 @ X1748 @ X1749))))&(~(X1749 @ X1755)|((esk42_2 @ X1748 @ X1749)=(X1755))|(((X1752)!=(esk41_3 @ X1748 @ X1749 @ X1752))|~(X1748 @ X1752))|((X1748 @ (esk39_2 @ X1748 @ X1749))|(X1749 @ (esk40_2 @ X1748 @ X1749))))))&((((X1748 @ (esk44_2 @ X1748 @ X1749))|((X1749 @ (esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|((X1748 @ (esk39_2 @ X1748 @ X1749))|(X1749 @ (esk40_2 @ X1748 @ X1749))))&(~(X1748 @ X1759)|((esk44_2 @ X1748 @ X1749)=(X1759))|((X1749 @ (esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|((X1748 @ (esk39_2 @ X1748 @ X1749))|(X1749 @ (esk40_2 @ X1748 @ X1749)))))&(((X1748 @ (esk44_2 @ X1748 @ X1749))|(((X1756)!=(esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|((X1748 @ (esk39_2 @ X1748 @ X1749))|(X1749 @ (esk40_2 @ X1748 @ X1749))))&(~(X1748 @ X1759)|((esk44_2 @ X1748 @ X1749)=(X1759))|(((X1756)!=(esk43_3 @ X1748 @ X1749 @ X1756))|~(X1749 @ X1756))|((X1748 @ (esk39_2 @ X1748 @ X1749))|(X1749 @ (esk40_2 @ X1748 @ X1749)))))))))&(((emptyset)=(emptyset))&((((X1760)!=(X1761))|(((X1762)!=(X1763))|((setadjoin @ X1760 @ X1762)=(setadjoin @ X1761 @ X1763))))&((((X1764)!=(X1765))|((powerset @ X1764)=(powerset @ X1765)))&((((X1766)!=(X1767))|((setunion @ X1766)=(setunion @ X1767)))&(((omega)=(omega))&((((X1768 @ (esk45_2 @ X1768 @ X1769))|~(X1768 @ X1769)|(~(X1768 @ X1771)|(~(X1768 @ X1772)|((X1771)=(X1772)))))&(((X1769)!=(esk45_2 @ X1768 @ X1769))|~(X1768 @ X1769)|(~(X1768 @ X1771)|(~(X1768 @ X1772)|((X1771)=(X1772))))))&((((((X1774 @ (esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|((X1773 @ (esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|((esk46_2 @ X1773 @ X1774)=(esk47_2 @ X1773 @ X1774)))&(((X1779)!=(esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|((X1773 @ (esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|((esk46_2 @ X1773 @ X1774)=(esk47_2 @ X1773 @ X1774))))&(((X1774 @ (esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|(((X1777)!=(esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|((esk46_2 @ X1773 @ X1774)=(esk47_2 @ X1773 @ X1774)))&(((X1779)!=(esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|(((X1777)!=(esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|((esk46_2 @ X1773 @ X1774)=(esk47_2 @ X1773 @ X1774)))))&(((((X1774 @ (esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|((X1773 @ (esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|(~(X1773 @ (esk46_2 @ X1773 @ X1774))|~(X1774 @ (esk47_2 @ X1773 @ X1774))))&(((X1779)!=(esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|((X1773 @ (esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|(~(X1773 @ (esk46_2 @ X1773 @ X1774))|~(X1774 @ (esk47_2 @ X1773 @ X1774)))))&(((X1774 @ (esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|(((X1777)!=(esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|(~(X1773 @ (esk46_2 @ X1773 @ X1774))|~(X1774 @ (esk47_2 @ X1773 @ X1774))))&(((X1779)!=(esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|(((X1777)!=(esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|(~(X1773 @ (esk46_2 @ X1773 @ X1774))|~(X1774 @ (esk47_2 @ X1773 @ X1774))))))&((((X1774 @ (esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|((X1773 @ (esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|((X1773 @ (esk46_2 @ X1773 @ X1774))|(X1774 @ (esk47_2 @ X1773 @ X1774))))&(((X1779)!=(esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|((X1773 @ (esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|((X1773 @ (esk46_2 @ X1773 @ X1774))|(X1774 @ (esk47_2 @ X1773 @ X1774)))))&(((X1774 @ (esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|(((X1777)!=(esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|((X1773 @ (esk46_2 @ X1773 @ X1774))|(X1774 @ (esk47_2 @ X1773 @ X1774))))&(((X1779)!=(esk49_3 @ X1773 @ X1774 @ X1779))|~(X1774 @ X1779)|((descr @ X1773)=(descr @ X1774))|(((X1777)!=(esk48_3 @ X1773 @ X1774 @ X1777))|~(X1773 @ X1777))|((X1773 @ (esk46_2 @ X1773 @ X1774))|(X1774 @ (esk47_2 @ X1773 @ X1774))))))))&((((in @ (esk50_4 @ X1781 @ X1782 @ X1783 @ X1784) @ X1781)|((dsetconstr @ X1781 @ X1783)=(dsetconstr @ X1782 @ X1784))|((X1781)!=(X1782)))&(((in @ (esk51_4 @ X1781 @ X1782 @ X1783 @ X1784) @ X1782)|((dsetconstr @ X1781 @ X1783)=(dsetconstr @ X1782 @ X1784))|((X1781)!=(X1782)))&((((esk50_4 @ X1781 @ X1782 @ X1783 @ X1784)=(esk51_4 @ X1781 @ X1782 @ X1783 @ X1784))|((dsetconstr @ X1781 @ X1783)=(dsetconstr @ X1782 @ X1784))|((X1781)!=(X1782)))&((~(X1783 @ (esk50_4 @ X1781 @ X1782 @ X1783 @ X1784))|~(X1784 @ (esk51_4 @ X1781 @ X1782 @ X1783 @ X1784))|((dsetconstr @ X1781 @ X1783)=(dsetconstr @ X1782 @ X1784))|((X1781)!=(X1782)))&((X1783 @ (esk50_4 @ X1781 @ X1782 @ X1783 @ X1784))|(X1784 @ (esk51_4 @ X1781 @ X1782 @ X1783 @ X1784))|((dsetconstr @ X1781 @ X1783)=(dsetconstr @ X1782 @ X1784))|((X1781)!=(X1782)))))))&((((in @ (esk52_2 @ X1787 @ X1788) @ X1787)|(subset @ X1787 @ X1788))&(~(in @ (esk52_2 @ X1787 @ X1788) @ X1788)|(subset @ X1787 @ X1788)))&((((X1790)!=(X1791))|(subset @ X1791 @ X1790))&((((X1792)!=(X1793))|(subset @ X1792 @ X1793))&((((in @ (esk53_2 @ X1794 @ X1795) @ X1794)|(subset @ X1794 @ X1795))&(~(in @ (esk53_2 @ X1794 @ X1795) @ X1795)|(subset @ X1794 @ X1795)))&((subset @ emptyset @ X1797)&((~(subset @ X1798 @ X1799)|(~(in @ X1800 @ X1798)|(in @ X1800 @ X1799)))&((~(subset @ X1801 @ X1802)|((in @ X1803 @ X1802)|~(in @ X1803 @ X1801)))&((~(in @ X1806 @ X1804)|((in @ X1806 @ X1805)|~(subset @ X1804 @ X1805)))&(((subset @ X1807 @ X1808)|((X1807)!=(X1808)))&((~(in @ X1811 @ X1809)|((in @ X1811 @ X1810)|((X1809)!=(X1810))))&((subset @ X1812 @ X1812)&((~(subset @ X1813 @ X1814)|(~(subset @ X1814 @ X1815)|(subset @ X1813 @ X1815)))&((subset @ X1817 @ (setadjoin @ X1816 @ X1817))&((~(subset @ X1818 @ X1820)|(subset @ X1818 @ (setadjoin @ X1819 @ X1820)))&((~(subset @ X1821 @ X1822)|(in @ X1821 @ (powerset @ X1822)))&((~(subset @ X1823 @ X1824)|(~(subset @ X1824 @ X1823)|((X1823)=(X1824))))&((~(subset @ X1825 @ emptyset)|((X1825)=(emptyset)))&((~(subset @ X1827 @ X1826)|(in @ X1827 @ (powerset @ X1826)))&((~(in @ X1829 @ (powerset @ X1828))|(subset @ X1829 @ X1828))&((in @ X1830 @ (powerset @ X1830))&((~(subset @ X1831 @ X1832)|(subset @ (powerset @ X1831) @ (powerset @ X1832)))&((in @ (dsetconstr @ X1833 @ X1834) @ (powerset @ X1833))&((subset @ (dsetconstr @ X1835 @ X1836) @ X1835)&((~(in @ X1839 @ X1837)|(in @ X1839 @ (binunion @ X1837 @ X1838)))&((in @ X1841 @ (setadjoin @ X1840 @ (setadjoin @ X1841 @ emptyset)))&((~(in @ X1844 @ X1843)|(in @ X1844 @ (binunion @ X1842 @ X1843)))&(((((in @ X1847 @ X1846)|(X1848)|(in @ X1847 @ X1845)|~(in @ X1847 @ (binunion @ X1845 @ X1846)))&(~(X1848)|(X1848)|(in @ X1847 @ X1845)|~(in @ X1847 @ (binunion @ X1845 @ X1846))))&(((in @ X1847 @ X1846)|(X1848)|~(X1848)|~(in @ X1847 @ (binunion @ X1845 @ X1846)))&(~(X1848)|(X1848)|~(X1848)|~(in @ X1847 @ (binunion @ X1845 @ X1846)))))&((~(in @ X1851 @ (binunion @ X1849 @ X1850))|((in @ X1851 @ X1849)|(in @ X1851 @ X1850)))&((subset @ X1852 @ (binunion @ X1852 @ X1853))&((subset @ X1855 @ (binunion @ X1854 @ X1855))&((~(in @ X1858 @ X1856)|(~(in @ X1858 @ X1857)|(in @ X1858 @ (binintersect @ X1856 @ X1857))))&((~(subset @ X1861 @ X1859)|(~(subset @ X1861 @ X1860)|(subset @ X1861 @ (binintersect @ X1859 @ X1860))))&((~(in @ X1864 @ (binintersect @ X1862 @ X1863))|(in @ X1864 @ X1862))&((subset @ (binintersect @ X1865 @ X1866) @ X1865)&((~(subset @ X1867 @ X1868)|((binintersect @ X1867 @ X1868)=(X1867)))&((((binintersect @ X1869 @ X1870)!=(X1870))|(subset @ X1870 @ X1869))&((~(in @ X1873 @ (binintersect @ X1871 @ X1872))|(in @ X1873 @ X1872))&((((in @ (esk54_2 @ X1874 @ X1875) @ X1874)|((binintersect @ X1874 @ X1875)=(emptyset)))&((in @ (esk54_2 @ X1874 @ X1875) @ X1875)|((binintersect @ X1874 @ X1875)=(emptyset))))&((subset @ (binintersect @ X1877 @ X1878) @ X1878)&((~(subset @ X1880 @ X1879)|((binintersect @ X1879 @ X1880)=(X1880)))&((((binintersect @ X1881 @ X1882)!=(X1881))|(subset @ X1881 @ X1882))&(((binintersect @ X1883 @ (binunion @ X1884 @ X1885))=(binunion @ (binintersect @ X1883 @ X1884) @ (binintersect @ X1883 @ X1885)))&((~(in @ X1888 @ X1886)|((in @ X1888 @ X1887)|(in @ X1888 @ (setminus @ X1886 @ X1887))))&((~(in @ X1891 @ (setminus @ X1889 @ X1890))|(in @ X1891 @ X1889))&((~(in @ X1894 @ (setminus @ X1892 @ X1893))|~(in @ X1894 @ X1893))&((~(subset @ X1895 @ X1896)|((setminus @ X1895 @ X1896)=(emptyset)))&(((in @ X1899 @ (setminus @ X1897 @ X1898))|(~(in @ X1899 @ X1897)|(in @ X1899 @ X1898)))&(((in @ X1902 @ (setminus @ X1900 @ X1901))|((in @ X1902 @ X1901)|~(in @ X1902 @ X1900)))&(((in @ X1905 @ X1903)|~(in @ X1905 @ (setminus @ X1903 @ X1904)))&((~(in @ X1908 @ X1907)|~(in @ X1908 @ (setminus @ X1906 @ X1907)))&((subset @ (setminus @ X1909 @ X1910) @ X1909)&((((setminus @ X1911 @ X1912)!=(emptyset))|(subset @ X1911 @ X1912))&((((~(in @ X1915 @ X1913)|(X1916)|(in @ X1915 @ X1913)|~(in @ X1915 @ (symdiff @ X1913 @ X1914)))&(((in @ X1915 @ X1914)|(X1916)|(in @ X1915 @ X1913)|~(in @ X1915 @ (symdiff @ X1913 @ X1914)))&(~(X1916)|(X1916)|(in @ X1915 @ X1913)|~(in @ X1915 @ (symdiff @ X1913 @ X1914)))))&(((~(in @ X1915 @ X1913)|(X1916)|~(in @ X1915 @ X1914)|~(in @ X1915 @ (symdiff @ X1913 @ X1914)))&(((in @ X1915 @ X1914)|(X1916)|~(in @ X1915 @ X1914)|~(in @ X1915 @ (symdiff @ X1913 @ X1914)))&(~(X1916)|(X1916)|~(in @ X1915 @ X1914)|~(in @ X1915 @ (symdiff @ X1913 @ X1914)))))&((~(in @ X1915 @ X1913)|(X1916)|~(X1916)|~(in @ X1915 @ (symdiff @ X1913 @ X1914)))&(((in @ X1915 @ X1914)|(X1916)|~(X1916)|~(in @ X1915 @ (symdiff @ X1913 @ X1914)))&(~(X1916)|(X1916)|~(X1916)|~(in @ X1915 @ (symdiff @ X1913 @ X1914)))))))&((~(in @ X1919 @ X1917)|((in @ X1919 @ X1918)|(in @ X1919 @ (symdiff @ X1917 @ X1918))))&(((in @ X1922 @ X1920)|(~(in @ X1922 @ X1921)|(in @ X1922 @ (symdiff @ X1920 @ X1921))))&((~(in @ X1925 @ X1923)|(~(in @ X1925 @ X1924)|~(in @ X1925 @ (symdiff @ X1923 @ X1924))))&(((in @ X1928 @ X1926)|((in @ X1928 @ X1927)|~(in @ X1928 @ (symdiff @ X1926 @ X1927))))&((in @ X1930 @ (setadjoin @ X1929 @ (setadjoin @ X1930 @ emptyset)))&((in @ X1931 @ (setunion @ (setadjoin @ (setadjoin @ X1931 @ emptyset) @ (setadjoin @ (setadjoin @ X1931 @ (setadjoin @ X1932 @ emptyset)) @ emptyset))))&((in @ X1934 @ (setunion @ (setadjoin @ (setadjoin @ X1933 @ emptyset) @ (setadjoin @ (setadjoin @ X1933 @ (setadjoin @ X1934 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1935 @ emptyset) @ (setadjoin @ (setadjoin @ X1935 @ (setadjoin @ X1936 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1937 @ X1938))&((~(in @ X1940 @ X1939)|(subset @ (setadjoin @ X1940 @ emptyset) @ X1939))&((~(in @ X1942 @ X1941)|(in @ (setadjoin @ X1942 @ emptyset) @ (powerset @ X1941)))&((~(in @ X1945 @ X1943)|(in @ (setadjoin @ X1945 @ emptyset) @ (powerset @ (binunion @ X1943 @ X1944))))&((~(in @ X1948 @ (setadjoin @ X1946 @ (setadjoin @ X1947 @ emptyset)))|(((X1948)=(X1946))|((X1948)=(X1947))))&((~(in @ X1951 @ X1949)|(~(in @ X1952 @ X1950)|(subset @ (setadjoin @ X1951 @ (setadjoin @ X1952 @ emptyset)) @ (binunion @ X1949 @ X1950))))&((~(in @ X1955 @ X1953)|(~(in @ X1956 @ X1954)|(in @ (setadjoin @ X1955 @ (setadjoin @ X1956 @ emptyset)) @ (powerset @ (binunion @ X1953 @ X1954)))))&((~(in @ X1959 @ X1957)|(~(in @ X1960 @ X1958)|(subset @ (setadjoin @ (setadjoin @ X1959 @ emptyset) @ (setadjoin @ (setadjoin @ X1959 @ (setadjoin @ X1960 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1957 @ X1958)))))&((~(in @ X1963 @ X1961)|(~(in @ X1964 @ X1962)|(in @ (setadjoin @ (setadjoin @ X1963 @ emptyset) @ (setadjoin @ (setadjoin @ X1963 @ (setadjoin @ X1964 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1961 @ X1962))))))&((~(in @ X1967 @ X1965)|(~(in @ X1968 @ X1966)|(in @ (kpair @ X1967 @ X1968) @ (powerset @ (powerset @ (binunion @ X1965 @ X1966))))))&((~(in @ X1971 @ X1969)|(~(in @ X1972 @ X1970)|(in @ (kpair @ X1971 @ X1972) @ (cartprod @ X1969 @ X1970))))&((((in @ (esk55_3 @ X1973 @ X1974 @ X1975) @ X1973)|~(in @ X1975 @ (cartprod @ X1973 @ X1974)))&(((in @ (esk56_3 @ X1973 @ X1974 @ X1975) @ X1974)|~(in @ X1975 @ (cartprod @ X1973 @ X1974)))&(((X1975)=(kpair @ (esk55_3 @ X1973 @ X1974 @ X1975) @ (esk56_3 @ X1973 @ X1974 @ X1975)))|~(in @ X1975 @ (cartprod @ X1973 @ X1974)))))&((~(in @ X1980 @ (cartprod @ X1978 @ X1979))|(iskpair @ X1980))&((((in @ (esk57_2 @ X1981 @ X1982) @ X1981)|~(in @ X1982 @ (setunion @ X1981)))&((in @ X1982 @ (esk57_2 @ X1981 @ X1982))|~(in @ X1982 @ (setunion @ X1981))))&((subset @ (setunion @ (setadjoin @ X1984 @ emptyset)) @ X1984)&((subset @ X1985 @ (setunion @ (setadjoin @ X1985 @ emptyset)))&(((setunion @ (setadjoin @ X1986 @ emptyset))=(X1986))&((((in @ (esk58_2 @ X1987 @ X1988) @ X1987)|(~(in @ X1991 @ X1987)|~(X1988 @ X1991)|(singleton @ (dsetconstr @ X1987 @ X1988))))&(((in @ (esk59_2 @ X1987 @ X1988) @ X1987)|(~(in @ X1991 @ X1987)|~(X1988 @ X1991)|(singleton @ (dsetconstr @ X1987 @ X1988))))&(((X1988 @ (esk58_2 @ X1987 @ X1988))|(~(in @ X1991 @ X1987)|~(X1988 @ X1991)|(singleton @ (dsetconstr @ X1987 @ X1988))))&(((X1988 @ (esk59_2 @ X1987 @ X1988))|(~(in @ X1991 @ X1987)|~(X1988 @ X1991)|(singleton @ (dsetconstr @ X1987 @ X1988))))&(((esk58_2 @ X1987 @ X1988)!=(esk59_2 @ X1987 @ X1988))|(~(in @ X1991 @ X1987)|~(X1988 @ X1991)|(singleton @ (dsetconstr @ X1987 @ X1988))))))))&((((in @ (esk60_2 @ X1992 @ X1993) @ X1992)|~(singleton @ (dsetconstr @ X1992 @ X1993)))&((X1993 @ (esk60_2 @ X1992 @ X1993))|~(singleton @ (dsetconstr @ X1992 @ X1993))))&((((in @ (esk61_3 @ X1995 @ X1996 @ X1997) @ X1995)|(singleton @ (dsetconstr @ X1995 @ X1996))|~(X1996 @ X1997)|~(in @ X1997 @ X1995))&(((X1996 @ (esk61_3 @ X1995 @ X1996 @ X1997))|(singleton @ (dsetconstr @ X1995 @ X1996))|~(X1996 @ X1997)|~(in @ X1997 @ X1995))&(((esk61_3 @ X1995 @ X1996 @ X1997)!=(X1997))|(singleton @ (dsetconstr @ X1995 @ X1996))|~(X1996 @ X1997)|~(in @ X1997 @ X1995))))&((((in @ (esk62_2 @ X1999 @ X2000) @ X1999)|(~(in @ X2003 @ X1999)|~(X2000 @ X2003)|(singleton @ (dsetconstr @ X1999 @ X2000))))&(((in @ (esk63_2 @ X1999 @ X2000) @ X1999)|(~(in @ X2003 @ X1999)|~(X2000 @ X2003)|(singleton @ (dsetconstr @ X1999 @ X2000))))&(((X2000 @ (esk62_2 @ X1999 @ X2000))|(~(in @ X2003 @ X1999)|~(X2000 @ X2003)|(singleton @ (dsetconstr @ X1999 @ X2000))))&(((X2000 @ (esk63_2 @ X1999 @ X2000))|(~(in @ X2003 @ X1999)|~(X2000 @ X2003)|(singleton @ (dsetconstr @ X1999 @ X2000))))&(((esk62_2 @ X1999 @ X2000)!=(esk63_2 @ X1999 @ X2000))|(~(in @ X2003 @ X1999)|~(X2000 @ X2003)|(singleton @ (dsetconstr @ X1999 @ X2000))))))))&((((setadjoin @ X2004 @ emptyset)!=(setadjoin @ X2005 @ emptyset))|((X2004)=(X2005)))&((~(in @ (setadjoin @ X2008 @ emptyset) @ (setadjoin @ (setadjoin @ X2006 @ emptyset) @ (setadjoin @ (setadjoin @ X2006 @ (setadjoin @ X2007 @ emptyset)) @ emptyset)))|((X2006)=(X2008)))&((~(iskpair @ X2009)|(singleton @ (dsetconstr @ (setunion @ X2009) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X2009))))))&((~(singleton @ X2010)|(in @ (setunion @ X2010) @ X2010))&(((kfst @ (kpair @ X2011 @ X2012))=(X2011))&((~(in @ X2015 @ (cartprod @ X2013 @ X2014))|(in @ (kfst @ X2015) @ X2013))&((((setadjoin @ (setadjoin @ X2016 @ emptyset) @ (setadjoin @ (setadjoin @ X2016 @ (setadjoin @ X2017 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2018 @ emptyset) @ (setadjoin @ (setadjoin @ X2018 @ (setadjoin @ X2019 @ emptyset)) @ emptyset)))|((X2016)=(X2018)))&((((kpair @ X2020 @ X2021)!=(kpair @ X2022 @ X2023))|((X2020)=(X2022)))&((((X2024)!=(X2025))|((setadjoin @ X2024 @ (setadjoin @ X2025 @ emptyset))=(setadjoin @ X2024 @ emptyset)))&((((X2026)!=(X2027))|((setadjoin @ (setadjoin @ X2026 @ emptyset) @ (setadjoin @ (setadjoin @ X2026 @ (setadjoin @ X2027 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2026 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X2028 @ emptyset) @ (setadjoin @ (setadjoin @ X2028 @ (setadjoin @ X2029 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2030 @ emptyset) @ (setadjoin @ (setadjoin @ X2030 @ (setadjoin @ X2031 @ emptyset)) @ emptyset)))|(((X2030)!=(X2031))|((X2029)=(X2031))))&((((setadjoin @ X2032 @ (setadjoin @ X2033 @ emptyset))!=(setadjoin @ X2034 @ emptyset))|((X2032)=(X2033)))&((((setadjoin @ (setadjoin @ X2035 @ emptyset) @ (setadjoin @ (setadjoin @ X2035 @ (setadjoin @ X2036 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2037 @ emptyset) @ (setadjoin @ (setadjoin @ X2037 @ (setadjoin @ X2038 @ emptyset)) @ emptyset)))|((X2036)=(X2038)))&((((kpair @ X2039 @ X2040)!=(kpair @ X2041 @ X2042))|((X2040)=(X2042)))&((~(iskpair @ X2043)|(singleton @ (dsetconstr @ (setunion @ X2043) @ (^[Z0:$i]:(((X2043)=(kpair @ (kfst @ X2043) @ Z0)))))))&(((ksnd @ (kpair @ X2044 @ X2045))=(X2045))&((~(iskpair @ X2046)|((kpair @ (kfst @ X2046) @ (ksnd @ X2046))=(X2046)))&((~(in @ X2049 @ (cartprod @ X2047 @ X2048))|(in @ (ksnd @ X2049) @ X2048))&((~(in @ (kpair @ X2052 @ X2053) @ (cartprod @ X2050 @ X2051))|(in @ X2052 @ X2050))&((~(in @ (kpair @ X2056 @ X2057) @ (cartprod @ X2054 @ X2055))|(in @ X2057 @ X2055))&((~(in @ X2060 @ X2058)|(~(in @ X2061 @ X2059)|((kpair @ X2060 @ X2061)=(kpair @ X2060 @ X2061))))&((~(in @ X2064 @ X2062)|(~(in @ X2065 @ X2063)|((kfst @ (kpair @ X2064 @ X2065))=(X2064))))&((~(in @ X2068 @ X2066)|(~(in @ X2069 @ X2067)|((ksnd @ (kpair @ X2068 @ X2069))=(X2069))))&((~(in @ X2072 @ (cartprod @ X2070 @ X2071))|((kpair @ (kfst @ X2072) @ (ksnd @ X2072))=(X2072)))&((~(in @ X2076 @ X2073)|(~(in @ X2077 @ X2074)|(~(X2075 @ X2076 @ X2077)|(in @ (kpair @ X2076 @ X2077) @ (dpsetconstr @ X2073 @ X2074 @ X2075)))))&((subset @ (dpsetconstr @ X2078 @ X2079 @ X2080) @ (cartprod @ X2078 @ X2079))&((subset @ (dpsetconstr @ X2081 @ X2082 @ X2083) @ (cartprod @ X2081 @ X2082))&((~(in @ X2087 @ X2084)|(~(in @ X2088 @ X2085)|(~(in @ (kpair @ X2087 @ X2088) @ (dpsetconstr @ X2084 @ X2085 @ X2086))|(X2086 @ X2087 @ X2088))))&((~(in @ (kpair @ X2092 @ X2093) @ (dpsetconstr @ X2089 @ X2090 @ X2091))|(in @ X2092 @ X2089))&((~(in @ (kpair @ X2097 @ X2098) @ (dpsetconstr @ X2094 @ X2095 @ X2096))|(in @ X2098 @ X2095))&((~(in @ (kpair @ X2102 @ X2103) @ (dpsetconstr @ X2099 @ X2100 @ X2101))|(X2101 @ X2102 @ X2103))&((~(func @ X2104 @ X2105 @ X2106)|(~(in @ X2107 @ X2104)|(singleton @ (dsetconstr @ X2105 @ (^[Z0:$i]:((in @ (kpair @ X2107 @ Z0) @ X2106)))))))&((~(func @ X2108 @ X2109 @ X2110)|(~(in @ X2111 @ X2108)|(in @ (setunion @ (dsetconstr @ X2109 @ (^[Z0:$i]:((in @ (kpair @ X2111 @ Z0) @ X2110))))) @ X2109)))&((~(func @ X2112 @ X2113 @ X2114)|(~(in @ X2115 @ X2112)|(in @ (ap @ X2112 @ X2113 @ X2114 @ X2115) @ X2113)))&((~(in @ X2118 @ (funcSet @ X2116 @ X2117))|(func @ X2116 @ X2117 @ X2118))&((~(in @ X2121 @ (funcSet @ X2119 @ X2120))|(~(in @ X2122 @ X2119)|(in @ (ap @ X2119 @ X2120 @ X2121 @ X2122) @ X2120)))&((~(func @ X2123 @ X2124 @ X2125)|(in @ X2125 @ (funcSet @ X2123 @ X2124)))&((((in @ (esk64_3 @ X2126 @ X2127 @ X2128) @ X2126)|(func @ X2126 @ X2127 @ (dpsetconstr @ X2126 @ X2127 @ (^[Z0:$i]:($eq @ (X2128 @ Z0))))))&(~(in @ (X2128 @ (esk64_3 @ X2126 @ X2127 @ X2128)) @ X2127)|(func @ X2126 @ X2127 @ (dpsetconstr @ X2126 @ X2127 @ (^[Z0:$i]:($eq @ (X2128 @ Z0)))))))&((((in @ (esk65_3 @ X2130 @ X2131 @ X2132) @ X2130)|(func @ X2130 @ X2131 @ (lam @ X2130 @ X2131 @ X2132)))&(~(in @ (X2132 @ (esk65_3 @ X2130 @ X2131 @ X2132)) @ X2131)|(func @ X2130 @ X2131 @ (lam @ X2130 @ X2131 @ X2132))))&((((in @ (esk66_3 @ X2134 @ X2135 @ X2136) @ X2134)|(in @ (lam @ X2134 @ X2135 @ X2136) @ (funcSet @ X2134 @ X2135)))&(~(in @ (X2136 @ (esk66_3 @ X2134 @ X2135 @ X2136)) @ X2135)|(in @ (lam @ X2134 @ X2135 @ X2136) @ (funcSet @ X2134 @ X2135))))&((((in @ (esk67_4 @ X2138 @ X2139 @ X2140 @ X2141) @ X2138)|(~(in @ X2144 @ X2140)|(X2141 @ X2144))|~(subset @ X2140 @ (cartprod @ X2138 @ X2139)))&(((in @ (esk68_4 @ X2138 @ X2139 @ X2140 @ X2141) @ X2139)|(~(in @ X2144 @ X2140)|(X2141 @ X2144))|~(subset @ X2140 @ (cartprod @ X2138 @ X2139)))&(((in @ (kpair @ (esk67_4 @ X2138 @ X2139 @ X2140 @ X2141) @ (esk68_4 @ X2138 @ X2139 @ X2140 @ X2141)) @ X2140)|(~(in @ X2144 @ X2140)|(X2141 @ X2144))|~(subset @ X2140 @ (cartprod @ X2138 @ X2139)))&(~(X2141 @ (kpair @ (esk67_4 @ X2138 @ X2139 @ X2140 @ X2141) @ (esk68_4 @ X2138 @ X2139 @ X2140 @ X2141)))|(~(in @ X2144 @ X2140)|(X2141 @ X2144))|~(subset @ X2140 @ (cartprod @ X2138 @ X2139))))))&((((in @ (esk69_4 @ X2145 @ X2146 @ X2147 @ X2148) @ X2145)|(~(in @ X2151 @ X2147)|(X2148 @ X2151))|~(subset @ X2147 @ (cartprod @ X2145 @ X2146)))&(((in @ (esk70_4 @ X2145 @ X2146 @ X2147 @ X2148) @ X2146)|(~(in @ X2151 @ X2147)|(X2148 @ X2151))|~(subset @ X2147 @ (cartprod @ X2145 @ X2146)))&(((in @ (kpair @ (esk69_4 @ X2145 @ X2146 @ X2147 @ X2148) @ (esk70_4 @ X2145 @ X2146 @ X2147 @ X2148)) @ X2147)|(~(in @ X2151 @ X2147)|(X2148 @ X2151))|~(subset @ X2147 @ (cartprod @ X2145 @ X2146)))&(~(X2148 @ (kpair @ (esk69_4 @ X2145 @ X2146 @ X2147 @ X2148) @ (esk70_4 @ X2145 @ X2146 @ X2147 @ X2148)))|(~(in @ X2151 @ X2147)|(X2148 @ X2151))|~(subset @ X2147 @ (cartprod @ X2145 @ X2146))))))&((~(singleton @ (dsetconstr @ X2152 @ X2153))|(~(in @ X2154 @ X2152)|(~(in @ X2155 @ X2152)|(~(X2153 @ X2154)|(~(X2153 @ X2155)|((X2154)=(X2155)))))))&((~(func @ X2156 @ X2157 @ X2158)|(~(in @ X2159 @ X2156)|(in @ (kpair @ X2159 @ (ap @ X2156 @ X2157 @ X2158 @ X2159)) @ X2158)))&((~(in @ X2162 @ (funcSet @ X2160 @ X2161))|(~(in @ X2163 @ X2160)|(in @ (kpair @ X2163 @ (ap @ X2160 @ X2161 @ X2162 @ X2163)) @ X2162)))&((~(func @ X2164 @ X2165 @ X2166)|(~(in @ X2167 @ X2164)|(~(in @ X2168 @ X2165)|(~(in @ (kpair @ X2167 @ X2168) @ X2166)|((ap @ X2164 @ X2165 @ X2166 @ X2167)=(X2168))))))&((((in @ (esk71_4 @ X2169 @ X2170 @ X2171 @ X2172) @ X2169)|(~(in @ X2174 @ X2169)|(~(in @ X2175 @ X2170)|(~(in @ (kpair @ X2174 @ X2175) @ X2172)|(in @ (kpair @ X2174 @ X2175) @ X2171))))|~(func @ X2169 @ X2170 @ X2172)|~(func @ X2169 @ X2170 @ X2171))&(((ap @ X2169 @ X2170 @ X2171 @ (esk71_4 @ X2169 @ X2170 @ X2171 @ X2172))!=(ap @ X2169 @ X2170 @ X2172 @ (esk71_4 @ X2169 @ X2170 @ X2171 @ X2172)))|(~(in @ X2174 @ X2169)|(~(in @ X2175 @ X2170)|(~(in @ (kpair @ X2174 @ X2175) @ X2172)|(in @ (kpair @ X2174 @ X2175) @ X2171))))|~(func @ X2169 @ X2170 @ X2172)|~(func @ X2169 @ X2170 @ X2171)))&((~(in @ X2178 @ (funcSet @ X2176 @ X2177))|(~(in @ X2179 @ X2176)|(~(in @ X2180 @ X2177)|(~(in @ (kpair @ X2179 @ X2180) @ X2178)|((ap @ X2176 @ X2177 @ X2178 @ X2179)=(X2180))))))&((((in @ (esk72_4 @ X2181 @ X2182 @ X2183 @ X2184) @ X2181)|(subset @ X2183 @ X2184)|~(subset @ X2184 @ (cartprod @ X2181 @ X2182))|~(subset @ X2183 @ (cartprod @ X2181 @ X2182)))&(((in @ (esk73_4 @ X2181 @ X2182 @ X2183 @ X2184) @ X2182)|(subset @ X2183 @ X2184)|~(subset @ X2184 @ (cartprod @ X2181 @ X2182))|~(subset @ X2183 @ (cartprod @ X2181 @ X2182)))&(((in @ (kpair @ (esk72_4 @ X2181 @ X2182 @ X2183 @ X2184) @ (esk73_4 @ X2181 @ X2182 @ X2183 @ X2184)) @ X2183)|(subset @ X2183 @ X2184)|~(subset @ X2184 @ (cartprod @ X2181 @ X2182))|~(subset @ X2183 @ (cartprod @ X2181 @ X2182)))&(~(in @ (kpair @ (esk72_4 @ X2181 @ X2182 @ X2183 @ X2184) @ (esk73_4 @ X2181 @ X2182 @ X2183 @ X2184)) @ X2184)|(subset @ X2183 @ X2184)|~(subset @ X2184 @ (cartprod @ X2181 @ X2182))|~(subset @ X2183 @ (cartprod @ X2181 @ X2182))))))&(((((in @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2187)|((X2189)=(X2190))|(in @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2187)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(((in @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2188)|((X2189)=(X2190))|(in @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2187)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(((in @ (kpair @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2190)|((X2189)=(X2190))|(in @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2187)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(~(in @ (kpair @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2189)|((X2189)=(X2190))|(in @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2187)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188))))))&((((in @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2187)|((X2189)=(X2190))|(in @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2188)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(((in @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2188)|((X2189)=(X2190))|(in @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2188)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(((in @ (kpair @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2190)|((X2189)=(X2190))|(in @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2188)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(~(in @ (kpair @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2189)|((X2189)=(X2190))|(in @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2188)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188))))))&((((in @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2187)|((X2189)=(X2190))|(in @ (kpair @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2189)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(((in @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2188)|((X2189)=(X2190))|(in @ (kpair @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2189)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(((in @ (kpair @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2190)|((X2189)=(X2190))|(in @ (kpair @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2189)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(~(in @ (kpair @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2189)|((X2189)=(X2190))|(in @ (kpair @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2189)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188))))))&(((in @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2187)|((X2189)=(X2190))|~(in @ (kpair @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2190)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(((in @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190) @ X2188)|((X2189)=(X2190))|~(in @ (kpair @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2190)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(((in @ (kpair @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2190)|((X2189)=(X2190))|~(in @ (kpair @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2190)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))&(~(in @ (kpair @ (esk76_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk77_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2189)|((X2189)=(X2190))|~(in @ (kpair @ (esk74_4 @ X2187 @ X2188 @ X2189 @ X2190) @ (esk75_4 @ X2187 @ X2188 @ X2189 @ X2190)) @ X2190)|~(subset @ X2190 @ (cartprod @ X2187 @ X2188))|~(subset @ X2189 @ (cartprod @ X2187 @ X2188)))))))))&((((in @ (esk78_4 @ X2195 @ X2196 @ X2197 @ X2198) @ X2195)|((X2197)=(X2198))|~(func @ X2195 @ X2196 @ X2198)|~(func @ X2195 @ X2196 @ X2197))&(((ap @ X2195 @ X2196 @ X2197 @ (esk78_4 @ X2195 @ X2196 @ X2197 @ X2198))!=(ap @ X2195 @ X2196 @ X2198 @ (esk78_4 @ X2195 @ X2196 @ X2197 @ X2198)))|((X2197)=(X2198))|~(func @ X2195 @ X2196 @ X2198)|~(func @ X2195 @ X2196 @ X2197)))&((((in @ (esk79_4 @ X2200 @ X2201 @ X2202 @ X2203) @ X2200)|((X2202)=(X2203))|~(in @ X2203 @ (funcSet @ X2200 @ X2201))|~(in @ X2202 @ (funcSet @ X2200 @ X2201)))&(((ap @ X2200 @ X2201 @ X2202 @ (esk79_4 @ X2200 @ X2201 @ X2202 @ X2203))!=(ap @ X2200 @ X2201 @ X2203 @ (esk79_4 @ X2200 @ X2201 @ X2202 @ X2203)))|((X2202)=(X2203))|~(in @ X2203 @ (funcSet @ X2200 @ X2201))|~(in @ X2202 @ (funcSet @ X2200 @ X2201))))&((~(in @ X2207 @ (funcSet @ X2205 @ X2206))|(~(in @ X2208 @ X2205)|((ap @ X2205 @ X2206 @ X2207 @ X2208)=(ap @ X2205 @ X2206 @ X2207 @ X2208))))&((~(func @ X2209 @ X2210 @ X2211)|(~(in @ X2212 @ X2209)|((ap @ X2209 @ X2210 @ X2211 @ X2212)=(ap @ X2209 @ X2210 @ X2211 @ X2212))))&((((in @ (esk80_3 @ X2213 @ X2214 @ X2215) @ X2213)|(~(in @ X2217 @ X2213)|((ap @ X2213 @ X2214 @ (lam @ X2213 @ X2214 @ X2215) @ X2217)=(X2215 @ X2217))))&(~(in @ (X2215 @ (esk80_3 @ X2213 @ X2214 @ X2215)) @ X2214)|(~(in @ X2217 @ X2213)|((ap @ X2213 @ X2214 @ (lam @ X2213 @ X2214 @ X2215) @ X2217)=(X2215 @ X2217)))))&((~(func @ X2218 @ X2219 @ X2220)|((lam @ X2218 @ X2219 @ (ap @ X2218 @ X2219 @ X2220))=(X2220)))&((((in @ (esk81_3 @ X2221 @ X2222 @ X2223) @ X2221)|((lam @ X2221 @ X2222 @ X2223)=(lam @ X2221 @ X2222 @ X2223)))&(~(in @ (X2223 @ (esk81_3 @ X2221 @ X2222 @ X2223)) @ X2222)|((lam @ X2221 @ X2222 @ X2223)=(lam @ X2221 @ X2222 @ X2223))))&((((in @ (esk82_3 @ X2225 @ X2226 @ X2227) @ X2225)|(~(in @ X2229 @ X2225)|((ap @ X2225 @ X2226 @ (lam @ X2225 @ X2226 @ X2227) @ X2229)=(X2227 @ X2229))))&(~(in @ (X2227 @ (esk82_3 @ X2225 @ X2226 @ X2227)) @ X2226)|(~(in @ X2229 @ X2225)|((ap @ X2225 @ X2226 @ (lam @ X2225 @ X2226 @ X2227) @ X2229)=(X2227 @ X2229)))))&((~(in @ X2232 @ (funcSet @ X2230 @ X2231))|((lam @ X2230 @ X2231 @ (ap @ X2230 @ X2231 @ X2232))=(X2232)))&((~(in @ X2235 @ X2233)|(~(in @ X2236 @ X2233)|((X2234)|(in @ X2236 @ (dsetconstr @ X2233 @ (^[Z0:$i]:((((((X2234))&(((Z0)=(X2235)))))|(((~((X2234)))&(((Z0)=(X2236)))))))))))))&((~(in @ X2239 @ X2237)|(~(in @ X2240 @ X2237)|((X2238)|((dsetconstr @ X2237 @ (^[Z0:$i]:((((((X2238))&(((Z0)=(X2239)))))|(((~((X2238)))&(((Z0)=(X2240)))))))))=(setadjoin @ X2240 @ emptyset)))))&((~(in @ X2243 @ X2241)|(~(in @ X2244 @ X2241)|(~(X2242)|(in @ X2243 @ (dsetconstr @ X2241 @ (^[Z0:$i]:((((((X2242))&(((Z0)=(X2243)))))|(((~((X2242)))&(((Z0)=(X2244)))))))))))))&((~(in @ X2247 @ X2245)|(~(in @ X2248 @ X2245)|(~(X2246)|((dsetconstr @ X2245 @ (^[Z0:$i]:((((((X2246))&(((Z0)=(X2247)))))|(((~((X2246)))&(((Z0)=(X2248)))))))))=(setadjoin @ X2247 @ emptyset)))))&((~(in @ X2251 @ X2249)|(~(in @ X2252 @ X2249)|(singleton @ (dsetconstr @ X2249 @ (^[Z0:$i]:((((((X2250))&(((Z0)=(X2251)))))|(((~((X2250)))&(((Z0)=(X2252))))))))))))&((~(in @ X2255 @ X2253)|(~(in @ X2256 @ X2253)|(in @ (if @ X2253 @ ((X2254)) @ X2255 @ X2256) @ X2253)))&((~(singleton @ X2257)|(~(in @ X2258 @ X2257)|((setunion @ X2257)=(X2258))))&((~(in @ X2261 @ X2259)|(~(in @ X2262 @ X2259)|(~(X2260)|((if @ X2259 @ ((X2260)) @ X2261 @ X2262)=(X2261)))))&((~(in @ X2265 @ X2263)|(~(in @ X2266 @ X2263)|((X2264)|((if @ X2263 @ ((X2264)) @ X2265 @ X2266)=(X2266)))))&((~(in @ X2269 @ X2267)|(~(in @ X2270 @ X2267)|(in @ (if @ X2267 @ ((X2268)) @ X2269 @ X2270) @ (setadjoin @ X2269 @ (setadjoin @ X2270 @ emptyset)))))&((~(in @ X2272 @ (powerset @ X2271))|(~(in @ X2273 @ (powerset @ X2271))|(in @ (binintersect @ X2272 @ X2273) @ (powerset @ X2271))))&((~(in @ X2275 @ (powerset @ X2274))|(~(in @ X2276 @ (powerset @ X2274))|(in @ (binunion @ X2275 @ X2276) @ (powerset @ X2274))))&((~(in @ X2278 @ (powerset @ X2277))|(in @ (powerset @ X2278) @ (powerset @ (powerset @ X2277))))&((~(in @ X2280 @ (powerset @ X2279))|(~(in @ X2281 @ (powerset @ X2279))|(in @ (setminus @ X2280 @ X2281) @ (powerset @ X2279))))&((~(in @ X2283 @ (powerset @ X2282))|(in @ (setminus @ X2282 @ X2283) @ (powerset @ X2282)))&(((((in @ (esk84_3 @ X2284 @ X2285 @ X2286) @ X2284)|((X2285)=(X2286))|(in @ (esk83_3 @ X2284 @ X2285 @ X2286) @ X2284)|~(in @ X2286 @ (powerset @ X2284))|~(in @ X2285 @ (powerset @ X2284)))&(((in @ (esk84_3 @ X2284 @ X2285 @ X2286) @ X2286)|((X2285)=(X2286))|(in @ (esk83_3 @ X2284 @ X2285 @ X2286) @ X2284)|~(in @ X2286 @ (powerset @ X2284))|~(in @ X2285 @ (powerset @ X2284)))&(~(in @ (esk84_3 @ X2284 @ X2285 @ X2286) @ X2285)|((X2285)=(X2286))|(in @ (esk83_3 @ X2284 @ X2285 @ X2286) @ X2284)|~(in @ X2286 @ (powerset @ X2284))|~(in @ X2285 @ (powerset @ X2284)))))&((((in @ (esk84_3 @ X2284 @ X2285 @ X2286) @ X2284)|((X2285)=(X2286))|(in @ (esk83_3 @ X2284 @ X2285 @ X2286) @ X2285)|~(in @ X2286 @ (powerset @ X2284))|~(in @ X2285 @ (powerset @ X2284)))&(((in @ (esk84_3 @ X2284 @ X2285 @ X2286) @ X2286)|((X2285)=(X2286))|(in @ (esk83_3 @ X2284 @ X2285 @ X2286) @ X2285)|~(in @ X2286 @ (powerset @ X2284))|~(in @ X2285 @ (powerset @ X2284)))&(~(in @ (esk84_3 @ X2284 @ X2285 @ X2286) @ X2285)|((X2285)=(X2286))|(in @ (esk83_3 @ X2284 @ X2285 @ X2286) @ X2285)|~(in @ X2286 @ (powerset @ X2284))|~(in @ X2285 @ (powerset @ X2284)))))&(((in @ (esk84_3 @ X2284 @ X2285 @ X2286) @ X2284)|((X2285)=(X2286))|~(in @ (esk83_3 @ X2284 @ X2285 @ X2286) @ X2286)|~(in @ X2286 @ (powerset @ X2284))|~(in @ X2285 @ (powerset @ X2284)))&(((in @ (esk84_3 @ X2284 @ X2285 @ X2286) @ X2286)|((X2285)=(X2286))|~(in @ (esk83_3 @ X2284 @ X2285 @ X2286) @ X2286)|~(in @ X2286 @ (powerset @ X2284))|~(in @ X2285 @ (powerset @ X2284)))&(~(in @ (esk84_3 @ X2284 @ X2285 @ X2286) @ X2285)|((X2285)=(X2286))|~(in @ (esk83_3 @ X2284 @ X2285 @ X2286) @ X2286)|~(in @ X2286 @ (powerset @ X2284))|~(in @ X2285 @ (powerset @ X2284)))))))&((((in @ (esk85_3 @ X2289 @ X2290 @ X2291) @ X2289)|(subset @ X2290 @ X2291)|~(in @ X2291 @ (powerset @ X2289))|~(in @ X2290 @ (powerset @ X2289)))&(((in @ (esk85_3 @ X2289 @ X2290 @ X2291) @ X2290)|(subset @ X2290 @ X2291)|~(in @ X2291 @ (powerset @ X2289))|~(in @ X2290 @ (powerset @ X2289)))&(~(in @ (esk85_3 @ X2289 @ X2290 @ X2291) @ X2291)|(subset @ X2290 @ X2291)|~(in @ X2291 @ (powerset @ X2289))|~(in @ X2290 @ (powerset @ X2289)))))&((((in @ (esk86_3 @ X2293 @ X2294 @ X2295) @ X2293)|(in @ X2294 @ (powerset @ X2295))|~(in @ X2295 @ (powerset @ X2293))|~(in @ X2294 @ (powerset @ X2293)))&(((in @ (esk86_3 @ X2293 @ X2294 @ X2295) @ X2294)|(in @ X2294 @ (powerset @ X2295))|~(in @ X2295 @ (powerset @ X2293))|~(in @ X2294 @ (powerset @ X2293)))&(~(in @ (esk86_3 @ X2293 @ X2294 @ X2295) @ X2295)|(in @ X2294 @ (powerset @ X2295))|~(in @ X2295 @ (powerset @ X2293))|~(in @ X2294 @ (powerset @ X2293)))))&((in @ esk88_0 @ (powerset @ esk87_0))&((in @ esk89_0 @ (powerset @ esk87_0))&((in @ esk90_0 @ esk87_0)&((in @ esk88_0 @ (powerset @ esk89_0))&((in @ esk90_0 @ esk88_0)&~(in @ esk90_0 @ esk89_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_321])])])])])])])).
% 0.60/0.42 thf(c_0_323, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ X2 @ (powerset @ X3))))), inference(split_conjunct,[status(thm)],[c_0_322])).
% 0.60/0.42 thf(c_0_324, negated_conjecture, (in @ esk88_0 @ (powerset @ esk89_0)), inference(split_conjunct,[status(thm)],[c_0_322])).
% 0.60/0.42 thf(c_0_325, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_322])).
% 0.60/0.42 thf(c_0_326, negated_conjecture, (subset @ esk88_0 @ esk89_0), inference(spm,[status(thm)],[c_0_323, c_0_324])).
% 0.60/0.42 thf(c_0_327, negated_conjecture, ~((in @ esk90_0 @ esk89_0)), inference(split_conjunct,[status(thm)],[c_0_322])).
% 0.60/0.42 thf(c_0_328, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk89_0)|~((in @ X2 @ esk88_0)))), inference(spm,[status(thm)],[c_0_325, c_0_326])).
% 0.60/0.42 thf(c_0_329, negated_conjecture, (in @ esk90_0 @ esk88_0), inference(split_conjunct,[status(thm)],[c_0_322])).
% 0.60/0.42 thf(c_0_330, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327, c_0_328]), c_0_329])]), ['proof']).
% 0.60/0.42 % SZS output end CNFRefutation
% 0.60/0.42 % Parsed axioms : 511
% 0.60/0.42 % Removed by relevancy pruning/SinE : 0
% 0.60/0.42 % Initial clauses : 714
% 0.60/0.42 % Removed in clause preprocessing : 306
% 0.60/0.42 % Initial clauses in saturation : 408
% 0.60/0.42 % Processed clauses : 232
% 0.60/0.42 % ...of these trivial : 11
% 0.60/0.42 % ...subsumed : 53
% 0.60/0.42 % ...remaining for further processing : 168
% 0.60/0.42 % Other redundant clauses eliminated : 22
% 0.60/0.42 % Clauses deleted for lack of memory : 0
% 0.60/0.42 % Backward-subsumed : 3
% 0.60/0.42 % Backward-rewritten : 4
% 0.60/0.42 % Generated clauses : 614
% 0.60/0.42 % ...of the previous two non-redundant : 480
% 0.60/0.42 % ...aggressively subsumed : 0
% 0.60/0.42 % Contextual simplify-reflections : 0
% 0.60/0.42 % Paramodulations : 588
% 0.60/0.42 % Factorizations : 0
% 0.60/0.42 % NegExts : 0
% 0.60/0.42 % Equation resolutions : 25
% 0.60/0.42 % Disequality decompositions : 0
% 0.60/0.42 % Total rewrite steps : 131
% 0.60/0.42 % ...of those cached : 78
% 0.60/0.42 % Propositional unsat checks : 0
% 0.60/0.42 % Propositional check models : 0
% 0.60/0.42 % Propositional check unsatisfiable : 0
% 0.60/0.42 % Propositional clauses : 0
% 0.60/0.42 % Propositional clauses after purity: 0
% 0.60/0.42 % Propositional unsat core size : 0
% 0.60/0.42 % Propositional preprocessing time : 0.000
% 0.60/0.42 % Propositional encoding time : 0.000
% 0.60/0.42 % Propositional solver time : 0.000
% 0.60/0.42 % Success case prop preproc time : 0.000
% 0.60/0.42 % Success case prop encoding time : 0.000
% 0.60/0.42 % Success case prop solver time : 0.000
% 0.60/0.42 % Current number of processed clauses : 151
% 0.60/0.42 % Positive orientable unit clauses : 52
% 0.60/0.42 % Positive unorientable unit clauses: 0
% 0.60/0.42 % Negative unit clauses : 3
% 0.60/0.42 % Non-unit-clauses : 96
% 0.60/0.42 % Current number of unprocessed clauses: 654
% 0.60/0.42 % ...number of literals in the above : 1916
% 0.60/0.42 % Current number of archived formulas : 0
% 0.60/0.42 % Current number of archived clauses : 7
% 0.60/0.42 % Clause-clause subsumption calls (NU) : 884
% 0.60/0.42 % Rec. Clause-clause subsumption calls : 808
% 0.60/0.42 % Non-unit clause-clause subsumptions : 41
% 0.60/0.42 % Unit Clause-clause subsumption calls : 93
% 0.60/0.42 % Rewrite failures with RHS unbound : 0
% 0.60/0.42 % BW rewrite match attempts : 11
% 0.60/0.42 % BW rewrite match successes : 4
% 0.60/0.42 % Condensation attempts : 0
% 0.60/0.42 % Condensation successes : 0
% 0.60/0.42 % Termbank termtop insertions : 70635
% 0.60/0.42 % Search garbage collected termcells : 24414
% 0.60/0.42
% 0.60/0.42 % -------------------------------------------------
% 0.60/0.42 % User time : 0.076 s
% 0.60/0.42 % System time : 0.016 s
% 0.60/0.42 % Total time : 0.093 s
% 0.60/0.42 % Maximum resident set size: 9052 pages
% 0.60/0.42
% 0.60/0.42 % -------------------------------------------------
% 0.60/0.42 % User time : 0.088 s
% 0.60/0.42 % System time : 0.027 s
% 0.60/0.42 % Total time : 0.115 s
% 0.60/0.42 % Maximum resident set size: 5376 pages
% 0.60/0.42 % E exiting
%------------------------------------------------------------------------------