%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU708^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:25:17 AM UTC 2026
% Result : Theorem 222.37s 32.31s
% Output : CNFRefutation 222.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU708^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n026.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Tue Sep 29 14:15:57 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 Running higher-order theorem proving
% 0.27/0.36 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p
% 222.37/32.31 % Version: 3.5.1-ho
% 222.37/32.31 % Preprocessing class: HSLMSLSSLLLCHFA.
% 222.37/32.31 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 222.37/32.31 % Starting ehoh_best5 with 300s (1) cores
% 222.37/32.31 % Starting almost_fo_3_lam with 300s (1) cores
% 222.37/32.31 % Starting new_bool_5 with 300s (1) cores
% 222.37/32.31 % Starting pre_casc_3 with 300s (1) cores
% 222.37/32.31 % Starting ho_unfolding_8 with 300s (1) cores
% 222.37/32.31 % Starting new_ho_10_cnf2 with 300s (1) cores
% 222.37/32.31 % Starting new_bool_3 with 300s (1) cores
% 222.37/32.31 % Starting new_ho_5 with 300s (1) cores
% 222.37/32.31 % ho_unfolding_8 with pid 663630 completed with status 0
% 222.37/32.31 % Result found by ho_unfolding_8
% 222.37/32.31 % Preprocessing class: HSLMSLSSLLLCHFA.
% 222.37/32.31 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 222.37/32.31 % Starting ehoh_best5 with 300s (1) cores
% 222.37/32.31 % Starting almost_fo_3_lam with 300s (1) cores
% 222.37/32.31 % Starting new_bool_5 with 300s (1) cores
% 222.37/32.31 % Starting pre_casc_3 with 300s (1) cores
% 222.37/32.31 % Starting ho_unfolding_8 with 300s (1) cores
% 222.37/32.31 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 222.37/32.31 % No SInE strategy applied
% 222.37/32.31 % Search class: HGHSM-FSLM32-DHFMMSBN
% 222.37/32.31 % partial match(1): HGHSM-FSLM32-MHFMMSBN
% 222.37/32.31 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 222.37/32.31 % Starting SubtermCWHack with 31s (1) cores
% 222.37/32.31 % SubtermCWHack with pid 663641 completed with status 8
% 222.37/32.31 % Starting ho_unfolding_8 with 61s (1) cores
% 222.37/32.31 % ho_unfolding_8 with pid 664628 completed with status 0
% 222.37/32.31 % Result found by ho_unfolding_8
% 222.37/32.31 % Preprocessing class: HSLMSLSSLLLCHFA.
% 222.37/32.31 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 222.37/32.31 % Starting ehoh_best5 with 300s (1) cores
% 222.37/32.31 % Starting almost_fo_3_lam with 300s (1) cores
% 222.37/32.31 % Starting new_bool_5 with 300s (1) cores
% 222.37/32.31 % Starting pre_casc_3 with 300s (1) cores
% 222.37/32.31 % Starting ho_unfolding_8 with 300s (1) cores
% 222.37/32.31 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 222.37/32.31 % No SInE strategy applied
% 222.37/32.31 % Search class: HGHSM-FSLM32-DHFMMSBN
% 222.37/32.31 % partial match(1): HGHSM-FSLM32-MHFMMSBN
% 222.37/32.31 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 222.37/32.31 % Starting SubtermCWHack with 31s (1) cores
% 222.37/32.31 % SubtermCWHack with pid 663641 completed with status 8
% 222.37/32.31 % Starting ho_unfolding_8 with 61s (1) cores
% 222.37/32.31 % Preprocessing time : 0.193 s
% 222.37/32.31 % Presaturation interreduction done
% 222.37/32.31
% 222.37/32.31 % Proof found!
% 222.37/32.31 % SZS status Theorem
% 222.37/32.31 % SZS output start CNFRefutation
% 222.37/32.31 thf(decl_23, type, in: $i > $i > $o).
% 222.37/32.31 thf(decl_24, type, exu: ($i > $o) > $o).
% 222.37/32.31 thf(decl_25, type, setextAx: $o).
% 222.37/32.31 thf(decl_26, type, emptyset: $i).
% 222.37/32.31 thf(decl_27, type, emptysetAx: $o).
% 222.37/32.31 thf(decl_28, type, setadjoin: $i > $i > $i).
% 222.37/32.31 thf(decl_29, type, setadjoinAx: $o).
% 222.37/32.31 thf(decl_30, type, powerset: $i > $i).
% 222.37/32.31 thf(decl_31, type, powersetAx: $o).
% 222.37/32.31 thf(decl_32, type, setunion: $i > $i).
% 222.37/32.31 thf(decl_33, type, setunionAx: $o).
% 222.37/32.31 thf(decl_34, type, omega: $i).
% 222.37/32.31 thf(decl_35, type, omega0Ax: $o).
% 222.37/32.31 thf(decl_36, type, omegaSAx: $o).
% 222.37/32.31 thf(decl_37, type, omegaIndAx: $o).
% 222.37/32.31 thf(decl_38, type, replAx: $o).
% 222.37/32.31 thf(decl_39, type, foundationAx: $o).
% 222.37/32.31 thf(decl_40, type, wellorderingAx: $o).
% 222.37/32.31 thf(decl_41, type, descr: ($i > $o) > $i).
% 222.37/32.31 thf(decl_42, type, descrp: $o).
% 222.37/32.31 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_44, type, dsetconstrI: $o).
% 222.37/32.31 thf(decl_45, type, dsetconstrEL: $o).
% 222.37/32.31 thf(decl_46, type, dsetconstrER: $o).
% 222.37/32.31 thf(decl_47, type, exuE1: $o).
% 222.37/32.31 thf(decl_48, type, prop2set: $o > $i).
% 222.37/32.31 thf(decl_49, type, prop2setE: $o).
% 222.37/32.31 thf(decl_50, type, emptysetE: $o).
% 222.37/32.31 thf(decl_51, type, emptysetimpfalse: $o).
% 222.37/32.31 thf(decl_52, type, notinemptyset: $o).
% 222.37/32.31 thf(decl_53, type, exuE3e: $o).
% 222.37/32.31 thf(decl_54, type, setext: $o).
% 222.37/32.31 thf(decl_55, type, emptyI: $o).
% 222.37/32.31 thf(decl_56, type, noeltsimpempty: $o).
% 222.37/32.31 thf(decl_57, type, setbeta: $o).
% 222.37/32.31 thf(decl_58, type, nonempty: $i > $o).
% 222.37/32.31 thf(decl_59, type, nonemptyE1: $o).
% 222.37/32.31 thf(decl_60, type, nonemptyI: $o).
% 222.37/32.31 thf(decl_61, type, nonemptyI1: $o).
% 222.37/32.31 thf(decl_62, type, setadjoinIL: $o).
% 222.37/32.31 thf(decl_63, type, emptyinunitempty: $o).
% 222.37/32.31 thf(decl_64, type, setadjoinIR: $o).
% 222.37/32.31 thf(decl_65, type, setadjoinE: $o).
% 222.37/32.31 thf(decl_66, type, setadjoinOr: $o).
% 222.37/32.31 thf(decl_67, type, setoftrueEq: $o).
% 222.37/32.31 thf(decl_68, type, powersetI: $o).
% 222.37/32.31 thf(decl_69, type, emptyinPowerset: $o).
% 222.37/32.31 thf(decl_70, type, emptyInPowerset: $o).
% 222.37/32.31 thf(decl_71, type, powersetE: $o).
% 222.37/32.31 thf(decl_72, type, setunionI: $o).
% 222.37/32.31 thf(decl_73, type, setunionE: $o).
% 222.37/32.31 thf(decl_74, type, subPowSU: $o).
% 222.37/32.31 thf(decl_75, type, exuE2: $o).
% 222.37/32.31 thf(decl_76, type, nonemptyImpWitness: $o).
% 222.37/32.31 thf(decl_77, type, uniqinunit: $o).
% 222.37/32.31 thf(decl_78, type, notinsingleton: $o).
% 222.37/32.31 thf(decl_79, type, eqinunit: $o).
% 222.37/32.31 thf(decl_80, type, singletonsswitch: $o).
% 222.37/32.31 thf(decl_81, type, upairsetE: $o).
% 222.37/32.31 thf(decl_82, type, upairsetIL: $o).
% 222.37/32.31 thf(decl_83, type, upairsetIR: $o).
% 222.37/32.31 thf(decl_84, type, emptyE1: $o).
% 222.37/32.31 thf(decl_85, type, vacuousDall: $o).
% 222.37/32.31 thf(decl_86, type, quantDeMorgan1: $o).
% 222.37/32.31 thf(decl_87, type, quantDeMorgan2: $o).
% 222.37/32.31 thf(decl_88, type, quantDeMorgan3: $o).
% 222.37/32.31 thf(decl_89, type, quantDeMorgan4: $o).
% 222.37/32.31 thf(decl_90, type, prop2setI: $o).
% 222.37/32.31 thf(decl_91, type, set2prop: $i > $o).
% 222.37/32.31 thf(decl_92, type, prop2set2propI: $o).
% 222.37/32.31 thf(decl_93, type, notdexE: $o).
% 222.37/32.31 thf(decl_94, type, notdallE: $o).
% 222.37/32.31 thf(decl_95, type, exuI1: $o).
% 222.37/32.31 thf(decl_96, type, exuI3: $o).
% 222.37/32.31 thf(decl_97, type, exuI2: $o).
% 222.37/32.31 thf(decl_98, type, inCongP: $o).
% 222.37/32.31 thf(decl_99, type, in__Cong: $o).
% 222.37/32.31 thf(decl_100, type, exuE3u: $o).
% 222.37/32.31 thf(decl_101, type, exu__Cong: $o).
% 222.37/32.31 thf(decl_102, type, emptyset__Cong: $o).
% 222.37/32.31 thf(decl_103, type, setadjoin__Cong: $o).
% 222.37/32.31 thf(decl_104, type, powerset__Cong: $o).
% 222.37/32.31 thf(decl_105, type, setunion__Cong: $o).
% 222.37/32.31 thf(decl_106, type, omega__Cong: $o).
% 222.37/32.31 thf(decl_107, type, exuEu: $o).
% 222.37/32.31 thf(decl_108, type, descr__Cong: $o).
% 222.37/32.31 thf(decl_109, type, dsetconstr__Cong: $o).
% 222.37/32.31 thf(decl_110, type, subset: $i > $i > $o).
% 222.37/32.31 thf(decl_113, type, subsetI1: $o).
% 222.37/32.31 thf(decl_114, type, eqimpsubset2: $o).
% 222.37/32.31 thf(decl_115, type, eqimpsubset1: $o).
% 222.37/32.31 thf(decl_116, type, subsetI2: $o).
% 222.37/32.31 thf(decl_117, type, emptysetsubset: $o).
% 222.37/32.31 thf(decl_118, type, subsetE: $o).
% 222.37/32.31 thf(decl_119, type, subsetE2: $o).
% 222.37/32.31 thf(decl_120, type, notsubsetI: $o).
% 222.37/32.31 thf(decl_121, type, notequalI1: $o).
% 222.37/32.31 thf(decl_122, type, notequalI2: $o).
% 222.37/32.31 thf(decl_123, type, subsetRefl: $o).
% 222.37/32.31 thf(decl_124, type, subsetTrans: $o).
% 222.37/32.31 thf(decl_125, type, setadjoinSub: $o).
% 222.37/32.31 thf(decl_126, type, setadjoinSub2: $o).
% 222.37/32.31 thf(decl_127, type, subset2powerset: $o).
% 222.37/32.31 thf(decl_128, type, setextsub: $o).
% 222.37/32.31 thf(decl_129, type, subsetemptysetimpeq: $o).
% 222.37/32.31 thf(decl_130, type, powersetI1: $o).
% 222.37/32.31 thf(decl_131, type, powersetE1: $o).
% 222.37/32.31 thf(decl_132, type, inPowerset: $o).
% 222.37/32.31 thf(decl_133, type, powersetsubset: $o).
% 222.37/32.31 thf(decl_134, type, sepInPowerset: $o).
% 222.37/32.31 thf(decl_135, type, sepSubset: $o).
% 222.37/32.31 thf(decl_136, type, binunion: $i > $i > $i).
% 222.37/32.31 thf(decl_137, type, binunionIL: $o).
% 222.37/32.31 thf(decl_138, type, upairset2IR: $o).
% 222.37/32.31 thf(decl_139, type, binunionIR: $o).
% 222.37/32.31 thf(decl_140, type, binunionEcases: $o).
% 222.37/32.31 thf(decl_141, type, binunionE: $o).
% 222.37/32.31 thf(decl_142, type, binunionLsub: $o).
% 222.37/32.31 thf(decl_143, type, binunionRsub: $o).
% 222.37/32.31 thf(decl_144, type, binintersect: $i > $i > $i).
% 222.37/32.31 thf(decl_145, type, binintersectI: $o).
% 222.37/32.31 thf(decl_146, type, binintersectSubset5: $o).
% 222.37/32.31 thf(decl_147, type, binintersectEL: $o).
% 222.37/32.31 thf(decl_148, type, binintersectLsub: $o).
% 222.37/32.31 thf(decl_149, type, binintersectSubset2: $o).
% 222.37/32.31 thf(decl_150, type, binintersectSubset3: $o).
% 222.37/32.31 thf(decl_151, type, binintersectER: $o).
% 222.37/32.31 thf(decl_152, type, disjointsetsI1: $o).
% 222.37/32.31 thf(decl_153, type, binintersectRsub: $o).
% 222.37/32.31 thf(decl_154, type, binintersectSubset4: $o).
% 222.37/32.31 thf(decl_155, type, binintersectSubset1: $o).
% 222.37/32.31 thf(decl_156, type, bs114d: $o).
% 222.37/32.31 thf(decl_158, type, setminus: $i > $i > $i).
% 222.37/32.31 thf(decl_159, type, setminusI: $o).
% 222.37/32.31 thf(decl_160, type, setminusEL: $o).
% 222.37/32.31 thf(decl_161, type, setminusER: $o).
% 222.37/32.31 thf(decl_162, type, setminusSubset2: $o).
% 222.37/32.31 thf(decl_163, type, setminusERneg: $o).
% 222.37/32.31 thf(decl_164, type, setminusELneg: $o).
% 222.37/32.31 thf(decl_165, type, setminusILneg: $o).
% 222.37/32.31 thf(decl_166, type, setminusIRneg: $o).
% 222.37/32.31 thf(decl_167, type, setminusLsub: $o).
% 222.37/32.31 thf(decl_168, type, setminusSubset1: $o).
% 222.37/32.31 thf(decl_169, type, symdiff: $i > $i > $i).
% 222.37/32.31 thf(decl_170, type, symdiffE: $o).
% 222.37/32.31 thf(decl_171, type, symdiffI1: $o).
% 222.37/32.31 thf(decl_172, type, symdiffI2: $o).
% 222.37/32.31 thf(decl_173, type, symdiffIneg1: $o).
% 222.37/32.31 thf(decl_174, type, symdiffIneg2: $o).
% 222.37/32.31 thf(decl_175, type, iskpair: $i > $o).
% 222.37/32.31 thf(decl_176, type, secondinupair: $o).
% 222.37/32.31 thf(decl_177, type, setukpairIL: $o).
% 222.37/32.31 thf(decl_178, type, setukpairIR: $o).
% 222.37/32.31 thf(decl_179, type, kpairiskpair: $o).
% 222.37/32.31 thf(decl_180, type, kpair: $i > $i > $i).
% 222.37/32.31 thf(decl_181, type, kpairp: $o).
% 222.37/32.31 thf(decl_182, type, cartprod: $i > $i > $i).
% 222.37/32.31 thf(decl_183, type, singletonsubset: $o).
% 222.37/32.31 thf(decl_184, type, singletoninpowerset: $o).
% 222.37/32.31 thf(decl_185, type, singletoninpowunion: $o).
% 222.37/32.31 thf(decl_186, type, upairset2E: $o).
% 222.37/32.31 thf(decl_187, type, upairsubunion: $o).
% 222.37/32.31 thf(decl_188, type, upairinpowunion: $o).
% 222.37/32.31 thf(decl_189, type, ubforcartprodlem1: $o).
% 222.37/32.31 thf(decl_190, type, ubforcartprodlem2: $o).
% 222.37/32.31 thf(decl_191, type, ubforcartprodlem3: $o).
% 222.37/32.31 thf(decl_192, type, cartprodpairin: $o).
% 222.37/32.31 thf(decl_193, type, cartprodmempair1: $o).
% 222.37/32.31 thf(decl_194, type, cartprodmempair: $o).
% 222.37/32.31 thf(decl_195, type, setunionE2: $o).
% 222.37/32.31 thf(decl_196, type, setunionsingleton1: $o).
% 222.37/32.31 thf(decl_197, type, setunionsingleton2: $o).
% 222.37/32.31 thf(decl_198, type, setunionsingleton: $o).
% 222.37/32.31 thf(decl_199, type, singleton: $i > $o).
% 222.37/32.31 thf(decl_200, type, singletonprop: $o).
% 222.37/32.31 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 222.37/32.31 thf(decl_202, type, ex1E1: $o).
% 222.37/32.31 thf(decl_203, type, ex1I: $o).
% 222.37/32.31 thf(decl_204, type, ex1I2: $o).
% 222.37/32.31 thf(decl_205, type, singletonsuniq: $o).
% 222.37/32.31 thf(decl_210, type, setukpairinjL1: $o).
% 222.37/32.31 thf(decl_211, type, kfstsingleton: $o).
% 222.37/32.31 thf(decl_212, type, theprop: $o).
% 222.37/32.31 thf(decl_213, type, kfst: $i > $i).
% 222.37/32.31 thf(decl_214, type, kfstpairEq: $o).
% 222.37/32.31 thf(decl_215, type, cartprodfstin: $o).
% 222.37/32.31 thf(decl_216, type, setukpairinjL2: $o).
% 222.37/32.31 thf(decl_217, type, setukpairinjL: $o).
% 222.37/32.31 thf(decl_218, type, setukpairinjR11: $o).
% 222.37/32.31 thf(decl_219, type, setukpairinjR12: $o).
% 222.37/32.31 thf(decl_220, type, setukpairinjR1: $o).
% 222.37/32.31 thf(decl_221, type, upairequniteq: $o).
% 222.37/32.31 thf(decl_222, type, setukpairinjR2: $o).
% 222.37/32.31 thf(decl_223, type, setukpairinjR: $o).
% 222.37/32.31 thf(decl_224, type, ksndsingleton: $o).
% 222.37/32.31 thf(decl_225, type, ksnd: $i > $i).
% 222.37/32.31 thf(decl_226, type, ksndpairEq: $o).
% 222.37/32.31 thf(decl_227, type, kpairsurjEq: $o).
% 222.37/32.31 thf(decl_228, type, cartprodsndin: $o).
% 222.37/32.31 thf(decl_229, type, cartprodpairmemEL: $o).
% 222.37/32.31 thf(decl_230, type, cartprodpairmemER: $o).
% 222.37/32.31 thf(decl_231, type, cartprodmempaircEq: $o).
% 222.37/32.31 thf(decl_232, type, cartprodfstpairEq: $o).
% 222.37/32.31 thf(decl_233, type, cartprodsndpairEq: $o).
% 222.37/32.31 thf(decl_234, type, cartprodpairsurjEq: $o).
% 222.37/32.31 thf(decl_235, type, breln: $i > $i > $i > $o).
% 222.37/32.31 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 222.37/32.31 thf(decl_237, type, dpsetconstrI: $o).
% 222.37/32.31 thf(decl_238, type, dpsetconstrSub: $o).
% 222.37/32.31 thf(decl_239, type, setOfPairsIsBReln: $o).
% 222.37/32.31 thf(decl_240, type, dpsetconstrERa: $o).
% 222.37/32.31 thf(decl_241, type, dpsetconstrEL1: $o).
% 222.37/32.31 thf(decl_242, type, dpsetconstrEL2: $o).
% 222.37/32.31 thf(decl_243, type, dpsetconstrER: $o).
% 222.37/32.31 thf(decl_244, type, func: $i > $i > $i > $o).
% 222.37/32.31 thf(decl_245, type, funcSet: $i > $i > $i).
% 222.37/32.31 thf(decl_246, type, funcImageSingleton: $o).
% 222.37/32.31 thf(decl_247, type, apProp: $o).
% 222.37/32.31 thf(decl_248, type, ap: $i > $i > $i > $i > $i).
% 222.37/32.31 thf(decl_249, type, app: $o).
% 222.37/32.31 thf(decl_250, type, infuncsetfunc: $o).
% 222.37/32.31 thf(decl_251, type, ap2p: $o).
% 222.37/32.31 thf(decl_252, type, funcinfuncset: $o).
% 222.37/32.31 thf(decl_253, type, lamProp: $o).
% 222.37/32.31 thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
% 222.37/32.31 thf(decl_255, type, lamp: $o).
% 222.37/32.31 thf(decl_256, type, lam2p: $o).
% 222.37/32.31 thf(decl_257, type, brelnall1: $o).
% 222.37/32.31 thf(decl_258, type, brelnall2: $o).
% 222.37/32.31 thf(decl_259, type, ex1E2: $o).
% 222.37/32.31 thf(decl_260, type, funcGraphProp1: $o).
% 222.37/32.31 thf(decl_261, type, funcGraphProp3: $o).
% 222.37/32.31 thf(decl_262, type, funcGraphProp2: $o).
% 222.37/32.31 thf(decl_263, type, funcextLem: $o).
% 222.37/32.31 thf(decl_264, type, funcGraphProp4: $o).
% 222.37/32.31 thf(decl_265, type, subbreln: $o).
% 222.37/32.31 thf(decl_266, type, eqbreln: $o).
% 222.37/32.31 thf(decl_267, type, funcext: $o).
% 222.37/32.31 thf(decl_268, type, funcext2: $o).
% 222.37/32.31 thf(decl_269, type, ap2apEq1: $o).
% 222.37/32.31 thf(decl_270, type, ap2apEq2: $o).
% 222.37/32.31 thf(decl_271, type, beta1: $o).
% 222.37/32.31 thf(decl_272, type, eta1: $o).
% 222.37/32.31 thf(decl_273, type, lam2lamEq: $o).
% 222.37/32.31 thf(decl_274, type, beta2: $o).
% 222.37/32.31 thf(decl_275, type, eta2: $o).
% 222.37/32.31 thf(decl_276, type, iffalseProp1: $o).
% 222.37/32.31 thf(decl_277, type, iffalseProp2: $o).
% 222.37/32.31 thf(decl_278, type, iftrueProp1: $o).
% 222.37/32.31 thf(decl_279, type, iftrueProp2: $o).
% 222.37/32.31 thf(decl_280, type, ifSingleton: $o).
% 222.37/32.31 thf(decl_281, type, if: $i > $o > $i > $i > $i).
% 222.37/32.31 thf(decl_282, type, ifp: $o).
% 222.37/32.31 thf(decl_283, type, theeq: $o).
% 222.37/32.31 thf(decl_284, type, iftrue: $o).
% 222.37/32.31 thf(decl_285, type, epred1_0: $o).
% 222.37/32.31 thf(decl_286, type, esk1_2: $i > $i > $i).
% 222.37/32.31 thf(decl_287, type, esk2_2: $i > $i > $i).
% 222.37/32.31 thf(decl_288, type, esk3_2: $i > $i > $i).
% 222.37/32.31 thf(decl_289, type, esk4_1: $i > $i).
% 222.37/32.31 thf(decl_290, type, esk5_2: ($i > $i > $o) > $i > $i).
% 222.37/32.31 thf(decl_291, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 222.37/32.31 thf(decl_292, type, esk7_2: ($i > $i > $o) > $i > $i).
% 222.37/32.31 thf(decl_293, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 222.37/32.31 thf(decl_294, type, esk9_1: $i > $i).
% 222.37/32.31 thf(decl_295, type, esk10_2: ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_296, type, esk11_2: ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_297, type, esk12_1: ($i > $o) > $i).
% 222.37/32.31 thf(decl_298, type, esk13_2: ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_299, type, esk14_1: ($i > $o) > $i).
% 222.37/32.31 thf(decl_300, type, esk15_2: $i > $i > $i).
% 222.37/32.31 thf(decl_301, type, esk16_2: $i > $i > $i).
% 222.37/32.31 thf(decl_302, type, esk17_1: $i > $i).
% 222.37/32.31 thf(decl_303, type, esk18_1: $i > $i).
% 222.37/32.31 thf(decl_304, type, esk19_1: $i > $i).
% 222.37/32.31 thf(decl_305, type, esk20_2: $i > $i > $i).
% 222.37/32.31 thf(decl_306, type, esk21_3: $i > $i > $o > $i).
% 222.37/32.31 thf(decl_307, type, esk22_2: ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_308, type, esk23_1: ($i > $o) > $i).
% 222.37/32.31 thf(decl_309, type, esk24_1: $i > $i).
% 222.37/32.31 thf(decl_310, type, esk25_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_311, type, esk26_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_312, type, esk27_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_313, type, esk28_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_314, type, esk29_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_315, type, esk30_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_316, type, esk31_2: ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_317, type, esk32_1: ($i > $o) > $i).
% 222.37/32.31 thf(decl_318, type, esk33_1: ($i > $o) > $i).
% 222.37/32.31 thf(decl_319, type, esk34_1: ($i > $o) > $i).
% 222.37/32.31 thf(decl_320, type, esk35_1: ($i > $o) > $i).
% 222.37/32.31 thf(decl_321, type, esk36_2: ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_322, type, esk37_1: ($i > $o) > $i).
% 222.37/32.31 thf(decl_323, type, esk38_2: ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_324, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 222.37/32.31 thf(decl_325, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 222.37/32.31 thf(decl_326, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_327, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 222.37/32.31 thf(decl_328, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_329, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 222.37/32.31 thf(decl_330, type, esk45_2: ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_331, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 222.37/32.31 thf(decl_332, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 222.37/32.31 thf(decl_333, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_334, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_335, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 222.37/32.31 thf(decl_336, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 222.37/32.31 thf(decl_337, type, esk52_2: $i > $i > $i).
% 222.37/32.31 thf(decl_338, type, esk53_2: $i > $i > $i).
% 222.37/32.31 thf(decl_339, type, esk54_2: $i > $i > $i).
% 222.37/32.31 thf(decl_340, type, esk55_3: $i > $i > $i > $i).
% 222.37/32.31 thf(decl_341, type, esk56_3: $i > $i > $i > $i).
% 222.37/32.31 thf(decl_342, type, esk57_2: $i > $i > $i).
% 222.37/32.31 thf(decl_343, type, esk58_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_344, type, esk59_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_345, type, esk60_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_346, type, esk61_3: $i > ($i > $o) > $i > $i).
% 222.37/32.31 thf(decl_347, type, esk62_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_348, type, esk63_2: $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_349, type, esk64_3: $i > $i > ($i > $i) > $i).
% 222.37/32.31 thf(decl_350, type, esk65_3: $i > $i > ($i > $i) > $i).
% 222.37/32.31 thf(decl_351, type, esk66_3: $i > $i > ($i > $i) > $i).
% 222.37/32.31 thf(decl_352, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_353, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_354, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_355, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
% 222.37/32.31 thf(decl_356, type, esk71_4: $i > $i > $i > $i > $i).
% 222.37/32.31 thf(decl_357, type, esk72_4: $i > $i > $i > $i > $i).
% 222.37/32.31 thf(decl_358, type, esk73_4: $i > $i > $i > $i > $i).
% 222.37/32.31 thf(decl_359, type, esk74_4: $i > $i > $i > $i > $i).
% 222.37/32.31 thf(decl_360, type, esk75_4: $i > $i > $i > $i > $i).
% 222.37/32.31 thf(decl_361, type, esk76_4: $i > $i > $i > $i > $i).
% 222.37/32.31 thf(decl_362, type, esk77_4: $i > $i > $i > $i > $i).
% 222.37/32.31 thf(decl_363, type, esk78_4: $i > $i > $i > $i > $i).
% 222.37/32.31 thf(decl_364, type, esk79_4: $i > $i > $i > $i > $i).
% 222.37/32.31 thf(decl_365, type, esk80_3: $i > $i > ($i > $i) > $i).
% 222.37/32.31 thf(decl_366, type, esk81_3: $i > $i > ($i > $i) > $i).
% 222.37/32.31 thf(decl_367, type, esk82_3: $i > $i > ($i > $i) > $i).
% 222.37/32.31 thf(decl_368, type, esk83_0: $i).
% 222.37/32.31 thf(decl_369, type, epred2_0: $o).
% 222.37/32.31 thf(decl_370, type, esk84_0: $i).
% 222.37/32.31 thf(decl_371, type, esk85_0: $i).
% 222.37/32.31 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', replAx)).
% 222.37/32.31 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', exu)).
% 222.37/32.31 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', descrp)).
% 222.37/32.31 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', exuE1)).
% 222.37/32.31 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', exuE3e)).
% 222.37/32.31 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', nonempty)).
% 222.37/32.31 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', nonemptyI)).
% 222.37/32.31 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', exuE2)).
% 222.37/32.31 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', exuI1)).
% 222.37/32.31 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', exuI3)).
% 222.37/32.31 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', exuI2)).
% 222.37/32.31 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', exuE3u)).
% 222.37/32.31 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', exu__Cong)).
% 222.37/32.31 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', exuEu)).
% 222.37/32.31 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', descr__Cong)).
% 222.37/32.31 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ex1E1)).
% 222.37/32.31 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ex1)).
% 222.37/32.31 thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ex1I)).
% 222.37/32.31 thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ex1I2)).
% 222.37/32.31 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setOfPairsIsBReln)).
% 222.37/32.31 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', breln)).
% 222.37/32.31 thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ex1E2)).
% 222.37/32.31 thf(iffalse, 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)=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X47))=>((if @ X4 @ ((X47)) @ X2 @ X3)=(X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', iffalse)).
% 222.37/32.31 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', dsetconstrI)).
% 222.37/32.31 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', dsetconstrEL)).
% 222.37/32.31 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', dsetconstrER)).
% 222.37/32.31 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setbeta)).
% 222.37/32.31 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', nonemptyE1)).
% 222.37/32.31 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', nonemptyI1)).
% 222.37/32.31 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setoftrueEq)).
% 222.37/32.31 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', nonemptyImpWitness)).
% 222.37/32.31 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', emptyE1)).
% 222.37/32.31 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', dsetconstr__Cong)).
% 222.37/32.31 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', sepInPowerset)).
% 222.37/32.31 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', sepSubset)).
% 222.37/32.31 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', singletonprop)).
% 222.37/32.31 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', kfstsingleton)).
% 222.37/32.31 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ksndsingleton)).
% 222.37/32.31 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', dpsetconstrI)).
% 222.37/32.31 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', dpsetconstrSub)).
% 222.37/32.31 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', dpsetconstrERa)).
% 222.37/32.31 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', dpsetconstrEL1)).
% 222.37/32.31 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', dpsetconstrEL2)).
% 222.37/32.31 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', dpsetconstrER)).
% 222.37/32.31 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', funcImageSingleton)).
% 222.37/32.31 thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', apProp)).
% 222.37/32.31 thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', lamProp)).
% 222.37/32.31 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', lamp)).
% 222.37/32.31 thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', lam2p)).
% 222.37/32.31 thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', brelnall1)).
% 222.37/32.31 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', brelnall2)).
% 222.37/32.31 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', subbreln)).
% 222.37/32.31 thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', eqbreln)).
% 222.37/32.31 thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', beta1)).
% 222.37/32.31 thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', eta1)).
% 222.37/32.31 thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', lam2lamEq)).
% 222.37/32.31 thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', beta2)).
% 222.37/32.31 thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', eta2)).
% 222.37/32.31 thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X39))&(((X14)=(X2)))))|(((~((X39)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', iffalseProp1)).
% 222.37/32.31 thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X40))&(((X14)=(X2)))))|(((~((X40)))&(((X14)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', iffalseProp2)).
% 222.37/32.31 thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X41))&(((X14)=(X2)))))|(((~((X41)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', iftrueProp1)).
% 222.37/32.31 thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X42))&(((X14)=(X2)))))|(((~((X42)))&(((X14)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', iftrueProp2)).
% 222.37/32.31 thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X43))&(((X14)=(X2)))))|(((~((X43)))&(((X14)=(X3))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ifSingleton)).
% 222.37/32.31 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setextAx)).
% 222.37/32.31 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', emptysetAx)).
% 222.37/32.31 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setadjoinAx)).
% 222.37/32.31 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', powersetAx)).
% 222.37/32.31 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setunionAx)).
% 222.37/32.31 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', omega0Ax)).
% 222.37/32.31 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', omegaSAx)).
% 222.37/32.31 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', omegaIndAx)).
% 222.37/32.31 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', foundationAx)).
% 222.37/32.31 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', wellorderingAx)).
% 222.37/32.31 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', prop2setE)).
% 222.37/32.31 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', emptysetE)).
% 222.37/32.31 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', emptysetimpfalse)).
% 222.37/32.31 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', notinemptyset)).
% 222.37/32.31 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setext)).
% 222.37/32.31 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', emptyI)).
% 222.37/32.31 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', noeltsimpempty)).
% 222.37/32.31 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setadjoinIL)).
% 222.37/32.31 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', emptyinunitempty)).
% 222.37/32.31 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setadjoinIR)).
% 222.37/32.31 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setadjoinE)).
% 222.37/32.31 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setadjoinOr)).
% 222.37/32.31 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', powersetI)).
% 222.37/32.31 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', emptyinPowerset)).
% 222.37/32.31 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', emptyInPowerset)).
% 222.37/32.31 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', powersetE)).
% 222.37/32.31 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setunionI)).
% 222.37/32.31 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setunionE)).
% 222.37/32.31 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', subPowSU)).
% 222.37/32.31 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', uniqinunit)).
% 222.37/32.31 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', notinsingleton)).
% 222.37/32.31 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', eqinunit)).
% 222.37/32.31 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', singletonsswitch)).
% 222.37/32.31 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', upairsetE)).
% 222.37/32.31 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', upairsetIL)).
% 222.37/32.31 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', upairsetIR)).
% 222.37/32.31 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', vacuousDall)).
% 222.37/32.31 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', quantDeMorgan1)).
% 222.37/32.31 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', quantDeMorgan2)).
% 222.37/32.31 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', quantDeMorgan3)).
% 222.37/32.31 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', quantDeMorgan4)).
% 222.37/32.31 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', prop2setI)).
% 222.37/32.31 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', prop2set2propI)).
% 222.37/32.31 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', notdexE)).
% 222.37/32.31 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', notdallE)).
% 222.37/32.31 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', inCongP)).
% 222.37/32.31 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', in__Cong)).
% 222.37/32.31 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', emptyset__Cong)).
% 222.37/32.31 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setadjoin__Cong)).
% 222.37/32.31 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', powerset__Cong)).
% 222.37/32.31 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setunion__Cong)).
% 222.37/32.31 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', omega__Cong)).
% 222.37/32.31 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', subsetI1)).
% 222.37/32.31 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', eqimpsubset2)).
% 222.37/32.31 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', eqimpsubset1)).
% 222.37/32.31 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', subsetI2)).
% 222.37/32.31 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', emptysetsubset)).
% 222.37/32.31 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', subsetE)).
% 222.37/32.31 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', subsetE2)).
% 222.37/32.31 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', notsubsetI)).
% 222.37/32.31 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', notequalI1)).
% 222.37/32.31 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', notequalI2)).
% 222.37/32.31 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', subsetRefl)).
% 222.37/32.31 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', subsetTrans)).
% 222.37/32.31 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setadjoinSub)).
% 222.37/32.31 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setadjoinSub2)).
% 222.37/32.31 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', subset2powerset)).
% 222.37/32.31 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setextsub)).
% 222.37/32.31 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', subsetemptysetimpeq)).
% 222.37/32.31 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', powersetI1)).
% 222.37/32.31 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', powersetE1)).
% 222.37/32.31 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', inPowerset)).
% 222.37/32.31 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', powersetsubset)).
% 222.37/32.31 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binunionIL)).
% 222.37/32.31 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', upairset2IR)).
% 222.37/32.31 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binunionIR)).
% 222.37/32.31 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binunionEcases)).
% 222.37/32.31 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binunionE)).
% 222.37/32.31 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binunionLsub)).
% 222.37/32.31 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binunionRsub)).
% 222.37/32.31 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binintersectI)).
% 222.37/32.31 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binintersectSubset5)).
% 222.37/32.31 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binintersectEL)).
% 222.37/32.31 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binintersectLsub)).
% 222.37/32.31 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binintersectSubset2)).
% 222.37/32.31 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binintersectSubset3)).
% 222.37/32.31 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binintersectER)).
% 222.37/32.31 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', disjointsetsI1)).
% 222.37/32.31 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binintersectRsub)).
% 222.37/32.31 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binintersectSubset4)).
% 222.37/32.31 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', binintersectSubset1)).
% 222.37/32.31 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', bs114d)).
% 222.37/32.31 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setminusI)).
% 222.37/32.31 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setminusEL)).
% 222.37/32.31 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setminusER)).
% 222.37/32.31 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setminusSubset2)).
% 222.37/32.31 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setminusERneg)).
% 222.37/32.31 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setminusELneg)).
% 222.37/32.31 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setminusILneg)).
% 222.37/32.31 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setminusIRneg)).
% 222.37/32.31 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setminusLsub)).
% 222.37/32.31 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setminusSubset1)).
% 222.37/32.31 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', symdiffE)).
% 222.37/32.31 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', symdiffI1)).
% 222.37/32.31 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', symdiffI2)).
% 222.37/32.31 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', symdiffIneg1)).
% 222.37/32.31 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', symdiffIneg2)).
% 222.37/32.31 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', secondinupair)).
% 222.37/32.31 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setukpairIL)).
% 222.37/32.31 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setukpairIR)).
% 222.37/32.31 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', kpairiskpair)).
% 222.37/32.31 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', kpairp)).
% 222.37/32.31 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', singletonsubset)).
% 222.37/32.31 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', singletoninpowerset)).
% 222.37/32.31 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', singletoninpowunion)).
% 222.37/32.31 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', upairset2E)).
% 222.37/32.31 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', upairsubunion)).
% 222.37/32.31 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', upairinpowunion)).
% 222.37/32.31 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ubforcartprodlem1)).
% 222.37/32.31 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ubforcartprodlem2)).
% 222.37/32.31 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ubforcartprodlem3)).
% 222.37/32.31 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodpairin)).
% 222.37/32.31 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodmempair1)).
% 222.37/32.31 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodmempair)).
% 222.37/32.31 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setunionE2)).
% 222.37/32.31 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setunionsingleton1)).
% 222.37/32.31 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setunionsingleton2)).
% 222.37/32.31 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setunionsingleton)).
% 222.37/32.31 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', singletonsuniq)).
% 222.37/32.31 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setukpairinjL1)).
% 222.37/32.31 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', theprop)).
% 222.37/32.31 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', kfstpairEq)).
% 222.37/32.31 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodfstin)).
% 222.37/32.31 thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setukpairinjL2)).
% 222.37/32.31 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setukpairinjL)).
% 222.37/32.31 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setukpairinjR11)).
% 222.37/32.31 thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setukpairinjR12)).
% 222.37/32.32 thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setukpairinjR1)).
% 222.37/32.32 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', upairequniteq)).
% 222.37/32.32 thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setukpairinjR2)).
% 222.37/32.32 thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', setukpairinjR)).
% 222.37/32.32 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ksndpairEq)).
% 222.37/32.32 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', kpairsurjEq)).
% 222.37/32.32 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodsndin)).
% 222.37/32.32 thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodpairmemEL)).
% 222.37/32.32 thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodpairmemER)).
% 222.37/32.32 thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodmempaircEq)).
% 222.37/32.32 thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodfstpairEq)).
% 222.37/32.32 thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodsndpairEq)).
% 222.37/32.32 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', cartprodpairsurjEq)).
% 222.37/32.32 thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', app)).
% 222.37/32.32 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', infuncsetfunc)).
% 222.37/32.32 thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ap2p)).
% 222.37/32.32 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', funcinfuncset)).
% 222.37/32.32 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', funcGraphProp1)).
% 222.37/32.32 thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', funcGraphProp3)).
% 222.37/32.32 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', funcGraphProp2)).
% 222.37/32.32 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', funcextLem)).
% 222.37/32.32 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', funcGraphProp4)).
% 222.37/32.32 thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', funcext)).
% 222.37/32.32 thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', funcext2)).
% 222.37/32.32 thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ap2apEq1)).
% 222.37/32.32 thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ap2apEq2)).
% 222.37/32.32 thf(ifp, axiom, ((ifp)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X45)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', ifp)).
% 222.37/32.32 thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', theeq)).
% 222.37/32.32 thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X46)=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', iftrue)).
% 222.37/32.32 thf(if, axiom, ((if)=(^[X4:$i, X44:$o, X2:$i, X3:$i]:(setunion @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X44))&(((X14)=(X2)))))|(((~((X44)))&(((X14)=(X3)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.AgYTlMkrz2/E---3.1_663613.p', if)).
% 222.37/32.32 thf(c_0_230, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 222.37/32.32 thf(c_0_231, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 222.37/32.32 thf(c_0_232, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 222.37/32.32 thf(c_0_233, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 222.37/32.32 thf(c_0_234, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 222.37/32.32 thf(c_0_235, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 222.37/32.32 thf(c_0_236, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 222.37/32.32 thf(c_0_237, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 222.37/32.32 thf(c_0_238, 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])).
% 222.37/32.32 thf(c_0_239, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 222.37/32.32 thf(c_0_240, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 222.37/32.32 thf(c_0_241, 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])).
% 222.37/32.32 thf(c_0_242, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 222.37/32.32 thf(c_0_243, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 222.37/32.32 thf(c_0_244, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 222.37/32.32 thf(c_0_245, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 222.37/32.32 thf(c_0_246, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((singleton @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2)))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 222.37/32.32 thf(c_0_247, 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])).
% 222.37/32.32 thf(c_0_248, 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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 222.37/32.32 thf(c_0_249, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 222.37/32.32 thf(c_0_250, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
% 222.37/32.32 thf(c_0_251, 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])).
% 222.37/32.32 thf(c_0_252, 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)=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X47))=>((if @ X4 @ ((X47)) @ X2 @ X3)=(X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[iffalse])).
% 222.37/32.32 thf(c_0_253, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X740:$i]:(((((X6 @ X2 @ X740)))&(![X741:$i]:(((((X6 @ X2 @ X741)))=>(((X740)=(X741)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_230, c_0_231])).
% 222.37/32.32 thf(c_0_254, plain, ((descrp)=(![X1:$i > $o]:((((?[X742:$i]:(((((X1 @ X742)))&(![X743:$i]:(((((X1 @ X743)))=>(((X742)=(X743))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_232, c_0_231])).
% 222.37/32.32 thf(c_0_255, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 222.37/32.32 thf(c_0_256, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 222.37/32.32 thf(c_0_257, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 222.37/32.32 thf(c_0_258, plain, ((exuE1)=(![X1:$i > $o]:((((?[X744:$i]:(((((X1 @ X744)))&(![X745:$i]:(((((X1 @ X745)))=>(((X744)=(X745))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_233, c_0_231])).
% 222.37/32.32 thf(c_0_259, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X746:$i]:(((((X1 @ X746)))&(![X747:$i]:(((((X1 @ X747)))=>(((X746)=(X747))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_234, c_0_231])).
% 222.37/32.32 thf(c_0_260, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 222.37/32.32 thf(c_0_261, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_235])).
% 222.37/32.32 thf(c_0_262, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_236, c_0_235])).
% 222.37/32.32 thf(c_0_263, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_235])).
% 222.37/32.32 thf(c_0_264, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 222.37/32.32 thf(c_0_265, plain, ((exuE2)=(![X1:$i > $o]:((((?[X748:$i]:(((((X1 @ X748)))&(![X749:$i]:(((((X1 @ X749)))=>(((X748)=(X749))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_237, c_0_231])).
% 222.37/32.32 thf(c_0_266, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_235])).
% 222.37/32.32 thf(c_0_267, 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])).
% 222.37/32.32 thf(c_0_268, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X750:$i]:(((((X1 @ X750)))&(![X751:$i]:(((((X1 @ X751)))=>(((X750)=(X751)))))))))))))), inference(apply_def,[status(thm)],[c_0_238, c_0_231])).
% 222.37/32.32 thf(c_0_269, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X752:$i]:(((((X1 @ X752)))&(![X753:$i]:(((((X1 @ X753)))=>(((X752)=(X753)))))))))))))))), inference(apply_def,[status(thm)],[c_0_239, c_0_231])).
% 222.37/32.32 thf(c_0_270, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X754:$i]:(((((X1 @ X754)))&(![X755:$i]:(((((X1 @ X755)))=>(((X754)=(X755)))))))))))))), inference(apply_def,[status(thm)],[c_0_240, c_0_231])).
% 222.37/32.32 thf(c_0_271, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X756:$i]:(((((X1 @ X756)))&(![X757:$i]:(((((X1 @ X757)))=>(((X756)=(X757))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_241, c_0_231])).
% 222.37/32.32 thf(c_0_272, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X758:$i]:(((((X1 @ X758)))&(![X759:$i]:(((((X1 @ X759)))=>(((X758)=(X759))))))))))<=>((?[X760:$i]:(((((X17 @ X760)))&(![X761:$i]:(((((X17 @ X761)))=>(((X760)=(X761)))))))))))))))), inference(apply_def,[status(thm)],[c_0_242, c_0_231])).
% 222.37/32.32 thf(c_0_273, plain, ((exuEu)=(![X1:$i > $o]:((((?[X762:$i]:(((((X1 @ X762)))&(![X763:$i]:(((((X1 @ X763)))=>(((X762)=(X763))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_243, c_0_231])).
% 222.37/32.32 thf(c_0_274, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X764:$i]:(((((X1 @ X764)))&(![X765:$i]:(((((X1 @ X765)))=>(((X764)=(X765))))))))))=>((((?[X766:$i]:(((((X17 @ X766)))&(![X767:$i]:(((((X17 @ X767)))=>(((X766)=(X767))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_244, c_0_231])).
% 222.37/32.32 thf(c_0_275, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 222.37/32.32 thf(c_0_276, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 222.37/32.32 thf(c_0_277, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 222.37/32.32 thf(c_0_278, 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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 222.37/32.32 thf(c_0_279, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:(((((singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0))))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_245, c_0_246])).
% 222.37/32.32 thf(c_0_280, plain, ((ex1I)=(![X4:$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_247, c_0_246])).
% 222.37/32.32 thf(c_0_281, 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:$i]:(((X1 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_248, c_0_246])).
% 222.37/32.32 thf(c_0_282, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 222.37/32.32 thf(c_0_283, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 222.37/32.32 thf(c_0_284, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 222.37/32.32 thf(c_0_285, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 222.37/32.32 thf(c_0_286, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_249, c_0_250])).
% 222.37/32.32 thf(c_0_287, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 222.37/32.32 thf(c_0_288, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 222.37/32.32 thf(c_0_289, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 222.37/32.32 thf(c_0_290, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 222.37/32.32 thf(c_0_291, plain, ((funcImageSingleton)<=>![X4:$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])).
% 222.37/32.32 thf(c_0_292, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
% 222.37/32.32 thf(c_0_293, plain, ((lamProp)<=>![X4:$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])).
% 222.37/32.32 thf(c_0_294, 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:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
% 222.37/32.32 thf(c_0_295, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
% 222.37/32.32 thf(c_0_296, axiom, ((brelnall1)=(![X4:$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_250])).
% 222.37/32.32 thf(c_0_297, 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_250])).
% 222.37/32.32 thf(c_0_298, 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_251, c_0_246])).
% 222.37/32.32 thf(c_0_299, 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_250])).
% 222.37/32.32 thf(c_0_300, 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_250])).
% 222.37/32.32 thf(c_0_301, 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])).
% 222.37/32.32 thf(c_0_302, 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])).
% 222.37/32.32 thf(c_0_303, 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])).
% 222.37/32.32 thf(c_0_304, 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])).
% 222.37/32.32 thf(c_0_305, 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])).
% 222.37/32.32 thf(c_0_306, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X39))&(((Z0)=(X2)))))|(((~((X39)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
% 222.37/32.32 thf(c_0_307, plain, ((iffalseProp2)<=>![X4:$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])).
% 222.37/32.32 thf(c_0_308, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X41))&(((Z0)=(X2)))))|(((~((X41)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
% 222.37/32.32 thf(c_0_309, plain, ((iftrueProp2)<=>![X4:$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])).
% 222.37/32.32 thf(c_0_310, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X43))&(((Z0)=(X2)))))|(((~((X43)))&(((Z0)=(X3))))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
% 222.37/32.32 thf(c_0_311, plain, ((epred1_0)<=>![X797:$i]:(?[X798:$i]:((((![X799:$i]:(((in @ X799 @ X798)=>![X800:$i]:(((in @ X800 @ X799)=>(in @ X800 @ X797)))))&![X801:$i, X802:$i]:((((in @ X801 @ X797)&(in @ X802 @ X797))=>(![X803:$i]:(((in @ X803 @ X798)=>((in @ X801 @ X803)<=>(in @ X802 @ X803))))=>((X801)=(X802))))))&![X804:$i, X805:$i]:((((in @ X804 @ X798)&(in @ X805 @ X798))=>(![X806:$i]:(((in @ X806 @ X804)=>(in @ X806 @ X805)))|![X807:$i]:(((in @ X807 @ X805)=>(in @ X807 @ X804)))))))&![X808:$i]:(((![X809:$i]:(((in @ X809 @ X808)=>(in @ X809 @ X797)))&?[X810:$i]:((in @ X810 @ X808)))=>?[X811:$i, X812:$i]:(((((in @ X811 @ X798)&(in @ X812 @ X808))&~(?[X813:$i]:(((in @ X813 @ X811)&(in @ X813 @ X808)))))&![X814:$i]:(((in @ X814 @ X798)=>(![X815:$i]:(((in @ X815 @ X814)=>(in @ X815 @ X811)))|(in @ X812 @ X814)))))))))))), introduced(definition)).
% 222.37/32.32 thf(c_0_312, negated_conjecture, ~((![X768:$i, X769:$i]:((![X770:$i]:(((in @ X770 @ X768)<=>(in @ X770 @ X769)))=>((X768)=(X769))))=>(![X771:$i]:(~(in @ X771 @ emptyset))=>(![X772:$i, X773:$i, X774:$i]:(((in @ X774 @ (setadjoin @ X772 @ X773))<=>(((X774)=(X772))|(in @ X774 @ X773))))=>(![X775:$i, X776:$i]:(((in @ X776 @ (powerset @ X775))<=>![X777:$i]:(((in @ X777 @ X776)=>(in @ X777 @ X775)))))=>(![X778:$i, X779:$i]:(((in @ X779 @ (setunion @ X778))<=>?[X780:$i]:(((in @ X779 @ X780)&(in @ X780 @ X778)))))=>((in @ emptyset @ omega)=>(![X781:$i]:(((in @ X781 @ omega)=>(in @ (setadjoin @ X781 @ X781) @ omega)))=>(![X782:$i]:((((in @ emptyset @ X782)&![X783:$i]:((((in @ X783 @ omega)&(in @ X783 @ X782))=>(in @ (setadjoin @ X783 @ X783) @ X782))))=>![X784:$i]:(((in @ X784 @ omega)=>(in @ X784 @ X782)))))=>(![X785:$i > $i > $o, X786:$i]:((![X787:$i]:(((in @ X787 @ X786)=>?[X788:$i]:(((X785 @ X787 @ X788)&![X789:$i]:(((X785 @ X787 @ X789)=>((X788)=(X789))))))))=>?[X790:$i]:(![X791:$i]:(((in @ X791 @ X790)<=>?[X792:$i]:(((in @ X792 @ X786)&(X785 @ X792 @ X791))))))))=>(![X793:$i]:((?[X794:$i]:((in @ X794 @ X793))=>?[X795:$i]:(((in @ X795 @ X793)&~(?[X796:$i]:(((in @ X796 @ X795)&(in @ X796 @ X793))))))))=>((epred1_0)=>(![X816:$i > $o]:((?[X817:$i]:(((X816 @ X817)&![X818:$i]:(((X816 @ X818)=>((X817)=(X818))))))=>(X816 @ (descr @ (^[Z0:$i]:(X816 @ Z0))))))=>(![X819:$i, X820:$i > $o, X821:$i]:(((in @ X821 @ X819)=>((X820 @ X821)=>(in @ X821 @ (dsetconstr @ X819 @ X820)))))=>(![X822:$i, X823:$i > $o, X824:$i]:(((in @ X824 @ (dsetconstr @ X822 @ X823))=>(in @ X824 @ X822)))=>(![X825:$i, X826:$i > $o, X827:$i]:(((in @ X827 @ (dsetconstr @ X825 @ X826))=>(X826 @ X827)))=>(![X828:$i > $o]:((?[X829:$i]:(((X828 @ X829)&![X830:$i]:(((X828 @ X830)=>((X829)=(X830))))))=>?[X831:$i]:(((X828 @ X831)&![X832:$i]:(((X828 @ X832)=>((X831)=(X832))))))))=>(![X833:$o, X834:$i]:(((in @ X834 @ (prop2set @ ((X833))))=>(X833)))=>(![X835:$i]:(((in @ X835 @ emptyset)=>![X836:$o]:((X836))))=>(![X837:$i]:(((in @ X837 @ emptyset)=>~($true)))=>(![X838:$i]:(~(in @ X838 @ emptyset))=>(![X839:$i > $o]:((?[X840:$i]:(((X839 @ X840)&![X841:$i]:(((X839 @ X841)=>((X840)=(X841))))))=>?[X842:$i]:((X839 @ X842))))=>(![X843:$i, X844:$i]:((![X845:$i]:(((in @ X845 @ X843)=>(in @ X845 @ X844)))=>(![X846:$i]:(((in @ X846 @ X844)=>(in @ X846 @ X843)))=>((X843)=(X844)))))=>(![X847:$i]:((![X848:$i]:(~(in @ X848 @ X847))=>((X847)=(emptyset))))=>(![X849:$i]:((![X850:$i]:(~(in @ X850 @ X849))=>((X849)=(emptyset))))=>(![X851:$i, X852:$i > $o, X853:$i]:(((in @ X853 @ X851)=>((in @ X853 @ (dsetconstr @ X851 @ X852))<=>(X852 @ X853))))=>(![X854:$i]:((((X854)!=(emptyset))=>?[X855:$i]:((in @ X855 @ X854))))=>(![X856:$i, X857:$i > $o, X858:$i]:(((in @ X858 @ X856)=>((X857 @ X858)=>((dsetconstr @ X856 @ X857)!=(emptyset)))))=>(![X859:$i]:((?[X860:$i]:((in @ X860 @ X859))=>((X859)!=(emptyset))))=>(![X861:$i, X862:$i]:((in @ X861 @ (setadjoin @ X861 @ X862)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X863:$i, X864:$i, X865:$i]:(((in @ X865 @ X864)=>(in @ X865 @ (setadjoin @ X863 @ X864))))=>(![X866:$i, X867:$i, X868:$i]:(((in @ X868 @ (setadjoin @ X866 @ X867))=>![X869:$o]:(((((X868)=(X866))=>(X869))=>(((in @ X868 @ X867)=>(X869))=>(X869))))))=>(![X870:$i, X871:$i, X872:$i]:(((in @ X872 @ (setadjoin @ X870 @ X871))=>(((X872)=(X870))|(in @ X872 @ X871))))=>(![X873:$i]:(((dsetconstr @ X873 @ (^[Z0:$i]:($true)))=(X873)))=>(![X874:$i, X875:$i]:((![X876:$i]:(((in @ X876 @ X875)=>(in @ X876 @ X874)))=>(in @ X875 @ (powerset @ X874))))=>(![X877:$i]:((in @ emptyset @ (powerset @ X877)))=>(![X878:$i]:((in @ emptyset @ (powerset @ X878)))=>(![X879:$i, X880:$i, X881:$i]:(((in @ X880 @ (powerset @ X879))=>((in @ X881 @ X880)=>(in @ X881 @ X879))))=>(![X882:$i, X883:$i, X884:$i]:(((in @ X883 @ X884)=>((in @ X884 @ X882)=>(in @ X883 @ (setunion @ X882)))))=>(![X885:$i, X886:$i]:(((in @ X886 @ (setunion @ X885))=>![X887:$o]:((![X888:$i]:(((in @ X886 @ X888)=>((in @ X888 @ X885)=>(X887))))=>(X887)))))=>(![X889:$i, X890:$i]:(((in @ X890 @ X889)=>(in @ X890 @ (powerset @ (setunion @ X889)))))=>(![X891:$i > $o]:((?[X892:$i]:(((X891 @ X892)&![X893:$i]:(((X891 @ X893)=>((X892)=(X893))))))=>?[X894:$i]:(![X895:$i]:(((X891 @ X895)<=>((X895)=(X894)))))))=>(![X896:$i]:((((X896)!=(emptyset))=>?[X897:$i]:(((in @ X897 @ X896)&$true))))=>(![X898:$i, X899:$i]:(((in @ X898 @ (setadjoin @ X899 @ emptyset))=>((X898)=(X899))))=>(![X900:$i, X901:$i]:((((X900)!=(X901))=>~(in @ X901 @ (setadjoin @ X900 @ emptyset))))=>(![X902:$i, X903:$i]:((((X902)=(X903))=>(in @ X902 @ (setadjoin @ X903 @ emptyset))))=>(![X904:$i, X905:$i]:(((in @ X904 @ (setadjoin @ X905 @ emptyset))=>(in @ X905 @ (setadjoin @ X904 @ emptyset))))=>(![X906:$i, X907:$i, X908:$i]:(((in @ X908 @ (setadjoin @ X906 @ (setadjoin @ X907 @ emptyset)))=>(((X908)=(X906))|((X908)=(X907)))))=>(![X909:$i, X910:$i]:((in @ X909 @ (setadjoin @ X909 @ (setadjoin @ X910 @ emptyset))))=>(![X911:$i, X912:$i]:((in @ X912 @ (setadjoin @ X911 @ (setadjoin @ X912 @ emptyset))))=>(![X913:$i, X914:$i > $o]:((?[X915:$i]:(((in @ X915 @ X913)&(X914 @ X915)))=>(((dsetconstr @ X913 @ X914)=(emptyset))=>~($true))))=>(![X916:$i > $o, X917:$i]:(((in @ X917 @ emptyset)=>(X916 @ X917)))=>(![X918:$i, X919:$i > $o]:((~(![X920:$i]:(((in @ X920 @ X918)=>(X919 @ X920))))=>?[X921:$i]:(((in @ X921 @ X918)&~((X919 @ X921))))))=>(![X922:$i, X923:$i > $o]:((![X924:$i]:(((in @ X924 @ X922)=>~((X923 @ X924))))=>~(?[X925:$i]:(((in @ X925 @ X922)&(X923 @ X925))))))=>(![X926:$i, X927:$i > $o]:((~(?[X928:$i]:(((in @ X928 @ X926)&(X927 @ X928))))=>![X929:$i]:(((in @ X929 @ X926)=>~((X927 @ X929))))))=>(![X930:$i, X931:$i > $o]:((?[X932:$i]:(((in @ X932 @ X930)&~((X931 @ X932))))=>~(![X933:$i]:(((in @ X933 @ X930)=>(X931 @ X933))))))=>(![X934:$o]:(((X934)=>(in @ emptyset @ (prop2set @ ((X934))))))=>(![X935:$o]:(((X935)=>(set2prop @ (prop2set @ ((X935))))))=>(![X936:$i, X937:$i > $o]:((~(?[X938:$i]:(((in @ X938 @ X936)&(X937 @ X938))))=>![X939:$i]:(((in @ X939 @ X936)=>~((X937 @ X939))))))=>(![X940:$i, X941:$i > $o]:((~(![X942:$i]:(((in @ X942 @ X940)=>(X941 @ X942))))=>?[X943:$i]:(((in @ X943 @ X940)&~((X941 @ X943))))))=>(![X944:$i > $o]:((?[X945:$i]:(((X944 @ X945)&![X946:$i]:(((X944 @ X946)=>((X945)=(X946))))))=>?[X947:$i]:(((X944 @ X947)&![X948:$i]:(((X944 @ X948)=>((X947)=(X948))))))))=>(![X949:$i > $o]:((?[X950:$i]:((X949 @ X950))=>(![X951:$i, X952:$i]:(((X949 @ X951)=>((X949 @ X952)=>((X951)=(X952)))))=>?[X953:$i]:(((X949 @ X953)&![X954:$i]:(((X949 @ X954)=>((X953)=(X954)))))))))=>(![X955:$i > $o]:((?[X956:$i]:(![X957:$i]:(((X955 @ X957)<=>((X957)=(X956)))))=>?[X958:$i]:(((X955 @ X958)&![X959:$i]:(((X955 @ X959)=>((X958)=(X959))))))))=>(![X960:$i, X961:$i]:((((X960)=(X961))=>![X962:$i, X963:$i]:((((X962)=(X963))=>((in @ X962 @ X960)=>(in @ X963 @ X961))))))=>(![X964:$i, X965:$i]:((((X964)=(X965))=>![X966:$i, X967:$i]:((((X966)=(X967))=>((in @ X966 @ X964)<=>(in @ X967 @ X965))))))=>(![X968:$i > $o]:((?[X969:$i]:(((X968 @ X969)&![X970:$i]:(((X968 @ X970)=>((X969)=(X970))))))=>![X971:$i, X972:$i]:(((X968 @ X971)=>((X968 @ X972)=>((X971)=(X972)))))))=>(![X973:$i > $o, X974:$i > $o]:((![X975:$i, X976:$i]:((((X975)=(X976))=>((X973 @ X975)<=>(X974 @ X976))))=>(?[X977:$i]:(((X973 @ X977)&![X978:$i]:(((X973 @ X978)=>((X977)=(X978))))))<=>?[X979:$i]:(((X974 @ X979)&![X980:$i]:(((X974 @ X980)=>((X979)=(X980)))))))))=>(((emptyset)=(emptyset))=>(![X981:$i, X982:$i]:((((X981)=(X982))=>![X983:$i, X984:$i]:((((X983)=(X984))=>((setadjoin @ X981 @ X983)=(setadjoin @ X982 @ X984))))))=>(![X985:$i, X986:$i]:((((X985)=(X986))=>((powerset @ X985)=(powerset @ X986))))=>(![X987:$i, X988:$i]:((((X987)=(X988))=>((setunion @ X987)=(setunion @ X988))))=>(((omega)=(omega))=>(![X989:$i > $o]:((?[X990:$i]:(((X989 @ X990)&![X991:$i]:(((X989 @ X991)=>((X990)=(X991))))))=>![X992:$i, X993:$i]:(((X989 @ X992)=>((X989 @ X993)=>((X992)=(X993)))))))=>(![X994:$i 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X1020:$i, X1021:$i]:(((subset @ X1019 @ X1020)=>((in @ X1021 @ X1019)=>(in @ X1021 @ X1020))))=>(![X1022:$i, X1023:$i, X1024:$i]:(((subset @ X1022 @ X1023)=>(~(in @ X1024 @ X1023)=>~(in @ X1024 @ X1022))))=>(![X1025:$i, X1026:$i, X1027:$i]:(((in @ X1027 @ X1025)=>(~(in @ X1027 @ X1026)=>~(subset @ X1025 @ X1026))))=>(![X1028:$i, X1029:$i]:((~(subset @ X1028 @ X1029)=>((X1028)!=(X1029))))=>(![X1030:$i, X1031:$i, X1032:$i]:(((in @ X1032 @ X1030)=>(~(in @ X1032 @ X1031)=>((X1030)!=(X1031)))))=>(![X1033:$i]:((subset @ X1033 @ X1033))=>(![X1034:$i, X1035:$i, X1036:$i]:(((subset @ X1034 @ X1035)=>((subset @ X1035 @ X1036)=>(subset @ X1034 @ X1036))))=>(![X1037:$i, X1038:$i]:((subset @ X1038 @ (setadjoin @ X1037 @ X1038)))=>(![X1039:$i, X1040:$i, X1041:$i]:(((subset @ X1039 @ X1041)=>(subset @ X1039 @ (setadjoin @ X1040 @ X1041))))=>(![X1042:$i, X1043:$i]:(((subset @ X1042 @ X1043)=>(in @ X1042 @ (powerset @ X1043))))=>(![X1044:$i, X1045:$i]:(((subset @ X1044 @ X1045)=>((subset @ X1045 @ 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c_0_273]), c_0_274]), c_0_275]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_276]), c_0_277]), 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_278]), c_0_279]), c_0_280]), c_0_281]), singletonsuniq]), setukpairinjL1]), c_0_282]), theprop]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_283]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_284]), c_0_285]), c_0_286]), c_0_287]), c_0_288]), c_0_289]), c_0_290]), c_0_291]), c_0_292]), app]), infuncsetfunc]), ap2p]), funcinfuncset]), c_0_293]), c_0_294]), c_0_295]), c_0_296]), c_0_297]), c_0_298]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), c_0_299]), c_0_300]), funcext]), funcext2]), ap2apEq1]), ap2apEq2]), c_0_301]), c_0_302]), c_0_303]), c_0_304]), c_0_305]), c_0_306]), c_0_307]), c_0_308]), c_0_309]), c_0_310]), ifp]), theeq]), iftrue])])]), c_0_311])).
% 222.37/32.32 thf(c_0_313, plain, ![X1484:$i, X1485:$o, X1486:$i, X1487:$i]:(((if @ X1484 @ ((X1485)) @ X1486 @ X1487)=(setunion @ (dsetconstr @ X1484 @ (^[Z0:$i]:((((((X1485))&(((Z0)=(X1486)))))|(((~((X1485)))&(((Z0)=(X1487)))))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[if])])).
% 222.37/32.32 thf(c_0_314, negated_conjecture, ![X1492:$i, X1493:$i, X1495:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i, X1501:$i, X1502:$i, X1503:$i, X1505:$i, X1506:$i, X1508:$i, X1509:$i, X1510:$i, X1511:$i, X1512:$i, X1514:$i, X1515:$i > $i > $o, X1516:$i, X1518:$i, X1521:$i, X1523:$i, X1524:$i, X1525:$i, X1526:$i, X1528:$i, X1529:$i > $o, X1530:$i, X1532:$i, X1533:$i > $o, X1534:$i, X1535:$i, X1536:$i > $o, X1537:$i, X1538:$i, X1539:$i > $o, X1540:$i, X1541:$i > $o, X1542:$i, X1545:$i, X1546:$o, X1547:$i, X1548:$i, X1549:$o, X1550:$i, X1551:$i, X1552:$i > $o, X1553:$i, X1556:$i, X1557:$i, X1560:$i, X1562:$i, X1564:$i, X1565:$i > $o, X1566:$i, X1567:$i, X1569:$i, X1570:$i > $o, X1571:$i, X1572:$i, X1573:$i, X1574:$i, X1575:$i, X1576:$i, X1577:$i, X1578:$i, X1579:$i, X1580:$i, X1581:$i, X1582:$o, X1583:$i, X1584:$i, X1585:$i, X1586:$i, X1587:$i, X1588:$i, X1590:$i, X1591:$i, X1592:$i, X1593:$i, X1594:$i, X1595:$i, X1596:$i, X1597:$i, X1598:$i, X1599:$i, X1600:$o, X1602:$i, X1603:$i, X1604:$i > $o, X1605:$i, X1608:$i, X1609:$i, X1610:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$i, X1616:$i, X1617:$i, X1618:$i, X1619:$i, X1620:$i, X1621:$i, X1622:$i, X1623:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i > $o, X1629:$i, X1630:$i > $o, X1631:$i, X1632:$i, X1633:$i > $o, X1634:$i, X1636:$i, X1637:$i > $o, X1639:$i, X1640:$i, X1641:$i > $o, X1643:$i, X1644:$i, X1645:$i > $o, X1646:$i, X1648:$o, X1649:$o, X1650:$i, X1651:$i > $o, X1653:$i, X1654:$i, X1655:$i > $o, X1656:$i, X1658:$i > $o, X1659:$i, X1662:$i, X1663:$i > $o, X1664:$i, X1668:$i, X1669:$i > $o, X1670:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i, X1679:$i, X1680:$i, X1681:$i, X1682:$i > $o, X1683:$i, X1685:$i, X1686:$i, X1687:$i > $o, X1688:$i > $o, X1691:$i, X1694:$i, X1695:$i, X1698:$i, X1699:$i, X1700:$i, X1701:$i, X1702:$i, X1703:$i, X1704:$i, X1705:$i, X1706:$i, X1707:$i > $o, X1708:$i, X1710:$i, X1711:$i, X1712:$i > $o, X1713:$i > $o, X1716:$i, X1718:$i, X1720:$i, X1721:$i, X1722:$i > $o, X1723:$i > $o, X1726:$i, X1727:$i, X1729:$i, X1730:$i, X1731:$i, X1732:$i, X1733:$i, X1734:$i, X1736:$i, X1737:$i, X1738:$i, X1739:$i, X1740:$i, X1741:$i, X1742:$i, X1743:$i, X1744:$i, X1745:$i, X1746:$i, X1747:$i, X1748:$i, X1749:$i, X1750:$i, X1751:$i, X1752:$i, X1753:$i, X1754:$i, X1755:$i, X1756:$i, X1757:$i, X1758:$i, X1759:$i, X1760:$i, X1761:$i, X1762:$i, X1763:$i, X1764:$i, X1765:$i, X1766:$i, X1767:$i, X1768:$i, X1769:$i, X1770:$i, X1771:$i, X1772:$i, X1773:$i > $o, X1774:$i, X1775:$i > $o, X1776:$i, X1777:$i, X1778:$i, X1779:$i, X1780:$i, X1781:$i, X1782:$i, X1783:$i, X1784:$i, X1785:$i, X1786:$i, X1787:$o, X1788:$i, X1789:$i, X1790:$i, X1791:$i, X1792:$i, X1793:$i, X1794:$i, X1795:$i, X1796:$i, X1797:$i, X1798:$i, X1799:$i, X1800:$i, X1801:$i, X1802:$i, X1803:$i, X1804:$i, X1805:$i, X1806:$i, X1807:$i, X1808:$i, X1809:$i, X1810:$i, X1811:$i, X1812:$i, X1813:$i, X1814:$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:$i, X1835:$i, X1836:$i, X1837:$i, X1838:$i, X1839:$i, X1840:$i, X1841:$i, X1842:$i, X1843:$i, X1844:$i, X1845:$i, X1846:$i, X1847:$i, X1848:$i, X1849:$i, X1850:$i, X1851:$i, X1852:$i, X1853:$i, X1854:$i, X1855:$o, X1856:$i, X1857:$i, X1858:$i, X1859:$i, X1860:$i, X1861:$i, X1862:$i, X1863:$i, X1864:$i, X1865:$i, X1866:$i, X1867:$i, X1868:$i, X1869:$i, X1870:$i, X1871:$i, X1872:$i, X1873:$i, X1874:$i, X1875:$i, X1876:$i, X1877:$i, X1878:$i, X1879:$i, X1880:$i, X1881:$i, X1882:$i, X1883:$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:$i, X1917:$i, X1918:$i, X1919:$i, X1920:$i, X1921:$i, X1923:$i, X1924:$i, X1925:$i, X1926:$i, X1927:$i > $o, X1930:$i, X1931:$i, X1932:$i > $o, X1934:$i, X1935:$i > $o, X1936:$i, X1938:$i, X1939:$i > $o, X1942:$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:$i, X1976:$i, X1977:$i, X1978:$i, X1979:$i, X1980:$i, X1981:$i, X1982:$i, X1983:$i, X1984:$i, X1985:$i, X1986:$i, X1987:$i, X1988:$i, X1989:$i, X1990:$i, X1991:$i, X1992:$i, X1993:$i, X1994:$i, X1995:$i, X1996:$i, X1997:$i, X1998:$i, X1999:$i, X2000:$i, X2001:$i, X2002:$i, X2003:$i, X2004:$i, X2005:$i, X2006:$i, X2007:$i, X2008:$i, X2009:$i, X2010:$i, X2011:$i, X2012:$i, X2013:$i, X2014:$i > $i > $o, X2015:$i, X2016:$i, X2017:$i, X2018:$i, X2019:$i > $i > $o, X2020:$i, X2021:$i, X2022:$i > $i > $o, X2023:$i, X2024:$i, X2025:$i > $i > $o, X2026:$i, X2027:$i, X2028:$i, X2029:$i, X2030:$i > $i > $o, X2031:$i, X2032:$i, X2033:$i, X2034:$i, X2035:$i > $i > $o, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2040:$i > $i > $o, X2041:$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 > $i, X2069:$i, X2070:$i, X2071:$i > $i, X2073:$i, X2074:$i, X2075:$i > $i, X2077:$i, X2078:$i, X2079:$i, X2080:$i > $o, X2083:$i, X2084:$i, X2085:$i, X2086:$i, X2087:$i > $o, X2090:$i, X2091:$i, X2092:$i > $o, X2093:$i, X2094:$i, X2095:$i, X2096:$i, X2097:$i, X2098:$i, X2099:$i, X2100:$i, X2101:$i, X2102:$i, X2103:$i, X2104:$i, X2105:$i, X2106:$i, X2107:$i, X2108:$i, X2109:$i, X2110:$i, X2111:$i, X2113:$i, X2114:$i, X2115:$i, X2116:$i, X2117:$i, X2118:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2126:$i, X2127:$i, X2128:$i, X2129:$i, X2134:$i, X2135:$i, X2136:$i, X2137:$i, X2139:$i, X2140:$i, X2141:$i, X2142:$i, X2144:$i, X2145:$i, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i, X2151:$i, X2152:$i, X2153:$i, X2154:$i > $i, X2156:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$i, X2162:$i > $i, X2164:$i, X2165:$i, X2166:$i > $i, X2168:$i, X2169:$i, X2170:$i, X2171:$i, X2172:$i, X2173:$o, X2174:$i, X2175:$i, X2176:$i, X2177:$o, X2178:$i, X2179:$i, X2180:$i, X2181:$o, X2182:$i, X2183:$i, X2184:$i, X2185:$o, X2186:$i, X2187:$i, X2188:$i, X2189:$o, X2190:$i, X2191:$i, X2192:$i, X2193:$o, X2194:$i, X2195:$i, X2196:$i, X2197:$i, X2198:$i, X2199:$o, X2200:$i, X2201:$i]:((((~(in @ (esk1_2 @ X1492 @ X1493) @ X1492)|~(in @ (esk1_2 @ X1492 @ X1493) @ X1493)|((X1492)=(X1493)))&((in @ (esk1_2 @ X1492 @ X1493) @ X1492)|(in @ (esk1_2 @ X1492 @ X1493) @ X1493)|((X1492)=(X1493))))&(~(in @ X1495 @ emptyset)&(((~(in @ X1498 @ (setadjoin @ X1496 @ X1497))|(((X1498)=(X1496))|(in @ X1498 @ X1497)))&((((X1498)!=(X1496))|(in @ X1498 @ (setadjoin @ X1496 @ X1497)))&(~(in @ X1498 @ X1497)|(in @ X1498 @ (setadjoin @ X1496 @ X1497)))))&(((~(in @ X1500 @ (powerset @ X1499))|(~(in @ X1501 @ X1500)|(in @ X1501 @ X1499)))&(((in @ (esk2_2 @ X1502 @ X1503) @ X1503)|(in @ X1503 @ (powerset @ X1502)))&(~(in @ (esk2_2 @ X1502 @ X1503) @ X1502)|(in @ X1503 @ (powerset @ X1502)))))&(((((in @ X1506 @ (esk3_2 @ X1505 @ X1506))|~(in @ X1506 @ (setunion @ X1505)))&((in @ (esk3_2 @ X1505 @ X1506) @ X1505)|~(in @ X1506 @ (setunion @ X1505))))&(~(in @ X1509 @ X1510)|~(in @ X1510 @ X1508)|(in @ X1509 @ (setunion @ X1508))))&((in @ emptyset @ omega)&((~(in @ X1511 @ omega)|(in @ (setadjoin @ X1511 @ X1511) @ omega))&(((((in @ (esk4_1 @ X1512) @ omega)|~(in @ emptyset @ X1512)|(~(in @ X1514 @ omega)|(in @ X1514 @ X1512)))&((in @ (esk4_1 @ X1512) @ X1512)|~(in @ emptyset @ X1512)|(~(in @ X1514 @ omega)|(in @ X1514 @ X1512))))&(~(in @ (setadjoin @ (esk4_1 @ X1512) @ (esk4_1 @ X1512)) @ X1512)|~(in @ emptyset @ X1512)|(~(in @ X1514 @ omega)|(in @ X1514 @ X1512))))&((((((in @ (esk8_3 @ X1515 @ X1516 @ X1521) @ X1516)|~(in @ X1521 @ (esk7_2 @ X1515 @ X1516))|(in @ (esk5_2 @ X1515 @ X1516) @ X1516))&((X1515 @ (esk8_3 @ X1515 @ X1516 @ X1521) @ X1521)|~(in @ X1521 @ (esk7_2 @ X1515 @ X1516))|(in @ (esk5_2 @ X1515 @ X1516) @ X1516)))&(~(in @ X1524 @ X1516)|~(X1515 @ X1524 @ X1523)|(in @ X1523 @ (esk7_2 @ X1515 @ X1516))|(in @ (esk5_2 @ X1515 @ X1516) @ X1516)))&(((((in @ (esk8_3 @ X1515 @ X1516 @ X1521) @ X1516)|~(in @ X1521 @ (esk7_2 @ X1515 @ X1516))|((X1515 @ (esk5_2 @ X1515 @ X1516) @ (esk6_3 @ X1515 @ X1516 @ X1518))|~(X1515 @ (esk5_2 @ X1515 @ X1516) @ X1518)))&((X1515 @ (esk8_3 @ X1515 @ X1516 @ X1521) @ X1521)|~(in @ X1521 @ (esk7_2 @ X1515 @ X1516))|((X1515 @ (esk5_2 @ X1515 @ X1516) @ (esk6_3 @ X1515 @ X1516 @ X1518))|~(X1515 @ (esk5_2 @ X1515 @ X1516) @ X1518))))&(~(in @ X1524 @ X1516)|~(X1515 @ X1524 @ X1523)|(in @ X1523 @ (esk7_2 @ X1515 @ X1516))|((X1515 @ (esk5_2 @ X1515 @ X1516) @ (esk6_3 @ X1515 @ X1516 @ X1518))|~(X1515 @ (esk5_2 @ X1515 @ X1516) @ X1518))))&((((in @ (esk8_3 @ X1515 @ X1516 @ X1521) @ X1516)|~(in @ X1521 @ (esk7_2 @ X1515 @ X1516))|(((X1518)!=(esk6_3 @ X1515 @ X1516 @ X1518))|~(X1515 @ (esk5_2 @ X1515 @ X1516) @ X1518)))&((X1515 @ (esk8_3 @ X1515 @ X1516 @ X1521) @ X1521)|~(in @ X1521 @ (esk7_2 @ X1515 @ X1516))|(((X1518)!=(esk6_3 @ X1515 @ X1516 @ X1518))|~(X1515 @ (esk5_2 @ X1515 @ X1516) @ X1518))))&(~(in @ X1524 @ X1516)|~(X1515 @ X1524 @ X1523)|(in @ X1523 @ (esk7_2 @ X1515 @ X1516))|(((X1518)!=(esk6_3 @ X1515 @ X1516 @ X1518))|~(X1515 @ (esk5_2 @ X1515 @ X1516) @ X1518))))))&((((in @ (esk9_1 @ X1525) @ X1525)|~(in @ X1526 @ X1525))&(~(in @ X1528 @ (esk9_1 @ X1525))|~(in @ X1528 @ X1525)|~(in @ X1526 @ X1525)))&((epred1_0)&((((X1529 @ (esk10_2 @ X1529 @ X1530))|~(X1529 @ X1530)|(X1529 @ (descr @ X1529)))&(((X1530)!=(esk10_2 @ X1529 @ X1530))|~(X1529 @ X1530)|(X1529 @ (descr @ X1529))))&((~(in @ X1534 @ X1532)|(~(X1533 @ X1534)|(in @ X1534 @ (dsetconstr @ X1532 @ X1533))))&((~(in @ X1537 @ (dsetconstr @ X1535 @ X1536))|(in @ X1537 @ X1535))&((~(in @ X1540 @ (dsetconstr @ X1538 @ X1539))|(X1539 @ X1540))&(((((X1541 @ (esk12_1 @ X1541))|((X1541 @ (esk11_2 @ X1541 @ X1542))|~(X1541 @ X1542)))&(~(X1541 @ X1545)|((esk12_1 @ X1541)=(X1545))|((X1541 @ (esk11_2 @ X1541 @ X1542))|~(X1541 @ X1542))))&(((X1541 @ (esk12_1 @ X1541))|(((X1542)!=(esk11_2 @ X1541 @ X1542))|~(X1541 @ X1542)))&(~(X1541 @ X1545)|((esk12_1 @ X1541)=(X1545))|(((X1542)!=(esk11_2 @ X1541 @ X1542))|~(X1541 @ X1542)))))&((~(in @ X1547 @ (prop2set @ ((X1546))))|(X1546))&((~(in @ X1548 @ emptyset)|(X1549))&((~(in @ X1550 @ emptyset)|~($true))&(~(in @ X1551 @ emptyset)&((((X1552 @ (esk13_2 @ X1552 @ X1553))|~(X1552 @ X1553)|(X1552 @ (esk14_1 @ X1552)))&(((X1553)!=(esk13_2 @ X1552 @ X1553))|~(X1552 @ X1553)|(X1552 @ (esk14_1 @ X1552))))&(((((in @ (esk16_2 @ X1556 @ X1557) @ X1557)|((X1556)=(X1557))|(in @ (esk15_2 @ X1556 @ X1557) @ X1556))&(~(in @ (esk16_2 @ X1556 @ X1557) @ X1556)|((X1556)=(X1557))|(in @ (esk15_2 @ X1556 @ X1557) @ X1556)))&(((in @ (esk16_2 @ X1556 @ X1557) @ X1557)|((X1556)=(X1557))|~(in @ (esk15_2 @ X1556 @ X1557) @ X1557))&(~(in @ (esk16_2 @ X1556 @ X1557) @ X1556)|((X1556)=(X1557))|~(in @ (esk15_2 @ X1556 @ X1557) @ X1557))))&(((in @ (esk17_1 @ X1560) @ X1560)|((X1560)=(emptyset)))&(((in @ (esk18_1 @ X1562) @ X1562)|((X1562)=(emptyset)))&(((~(in @ X1566 @ (dsetconstr @ X1564 @ X1565))|(X1565 @ X1566)|~(in @ X1566 @ X1564))&(~(X1565 @ X1566)|(in @ X1566 @ (dsetconstr @ X1564 @ X1565))|~(in @ X1566 @ X1564)))&((((X1567)=(emptyset))|(in @ (esk19_1 @ X1567) @ X1567))&((~(in @ X1571 @ X1569)|(~(X1570 @ X1571)|((dsetconstr @ X1569 @ X1570)!=(emptyset))))&((~(in @ X1573 @ X1572)|((X1572)!=(emptyset)))&((in @ X1574 @ (setadjoin @ X1574 @ X1575))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1578 @ X1577)|(in @ X1578 @ (setadjoin @ X1576 @ X1577)))&(((((in @ X1581 @ X1580)|(X1582)|((X1581)=(X1579))|~(in @ X1581 @ (setadjoin @ X1579 @ X1580)))&(~(X1582)|(X1582)|((X1581)=(X1579))|~(in @ X1581 @ (setadjoin @ X1579 @ X1580))))&(((in @ X1581 @ X1580)|(X1582)|~(X1582)|~(in @ X1581 @ (setadjoin @ X1579 @ X1580)))&(~(X1582)|(X1582)|~(X1582)|~(in @ X1581 @ (setadjoin @ X1579 @ X1580)))))&((~(in @ X1585 @ (setadjoin @ X1583 @ X1584))|(((X1585)=(X1583))|(in @ X1585 @ X1584)))&(((dsetconstr @ X1586 @ (^[Z0:$i]:($true)))=(X1586))&((((in @ (esk20_2 @ X1587 @ X1588) @ X1588)|(in @ X1588 @ (powerset @ X1587)))&(~(in @ (esk20_2 @ X1587 @ X1588) @ X1587)|(in @ X1588 @ (powerset @ X1587))))&((in @ emptyset @ (powerset @ X1590))&((in @ emptyset @ (powerset @ X1591))&((~(in @ X1593 @ (powerset @ X1592))|(~(in @ X1594 @ X1593)|(in @ X1594 @ X1592)))&((~(in @ X1596 @ X1597)|(~(in @ X1597 @ X1595)|(in @ X1596 @ (setunion @ X1595))))&((((in @ X1599 @ (esk21_3 @ X1598 @ X1599 @ X1600))|(X1600)|~(in @ X1599 @ (setunion @ X1598)))&(((in @ (esk21_3 @ X1598 @ X1599 @ X1600) @ X1598)|(X1600)|~(in @ X1599 @ (setunion @ 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X2079)|(~(in @ X2083 @ X2079)|(X2080 @ X2083))|~(subset @ X2079 @ (cartprod @ X2077 @ X2078)))&(~(X2080 @ (kpair @ (esk67_4 @ X2077 @ X2078 @ X2079 @ X2080) @ (esk68_4 @ X2077 @ X2078 @ X2079 @ X2080)))|(~(in @ X2083 @ X2079)|(X2080 @ X2083))|~(subset @ X2079 @ (cartprod @ X2077 @ X2078))))))&((((in @ (esk69_4 @ X2084 @ X2085 @ X2086 @ X2087) @ X2084)|(~(in @ X2090 @ X2086)|(X2087 @ X2090))|~(subset @ X2086 @ (cartprod @ X2084 @ X2085)))&(((in @ (esk70_4 @ X2084 @ X2085 @ X2086 @ X2087) @ X2085)|(~(in @ X2090 @ X2086)|(X2087 @ X2090))|~(subset @ X2086 @ (cartprod @ X2084 @ X2085)))&(((in @ (kpair @ (esk69_4 @ X2084 @ X2085 @ X2086 @ X2087) @ (esk70_4 @ X2084 @ X2085 @ X2086 @ X2087)) @ X2086)|(~(in @ X2090 @ X2086)|(X2087 @ X2090))|~(subset @ X2086 @ (cartprod @ X2084 @ X2085)))&(~(X2087 @ (kpair @ (esk69_4 @ X2084 @ X2085 @ X2086 @ X2087) @ (esk70_4 @ X2084 @ X2085 @ X2086 @ X2087)))|(~(in @ X2090 @ X2086)|(X2087 @ X2090))|~(subset @ X2086 @ (cartprod @ X2084 @ X2085))))))&((~(singleton @ (dsetconstr @ X2091 @ X2092))|(~(in @ X2093 @ X2091)|(~(in @ X2094 @ X2091)|(~(X2092 @ X2093)|(~(X2092 @ X2094)|((X2093)=(X2094)))))))&((~(func @ X2095 @ X2096 @ X2097)|(~(in @ X2098 @ X2095)|(in @ (kpair @ X2098 @ (ap @ X2095 @ X2096 @ X2097 @ X2098)) @ X2097)))&((~(in @ X2101 @ (funcSet @ X2099 @ X2100))|(~(in @ X2102 @ X2099)|(in @ (kpair @ X2102 @ (ap @ X2099 @ X2100 @ X2101 @ X2102)) @ X2101)))&((~(func @ X2103 @ X2104 @ X2105)|(~(in @ X2106 @ X2103)|(~(in @ X2107 @ X2104)|(~(in @ (kpair @ X2106 @ X2107) @ X2105)|((ap @ X2103 @ X2104 @ X2105 @ X2106)=(X2107))))))&((((in @ (esk71_4 @ X2108 @ X2109 @ X2110 @ X2111) @ X2108)|(~(in @ X2113 @ X2108)|(~(in @ X2114 @ X2109)|(~(in @ (kpair @ X2113 @ X2114) @ X2111)|(in @ (kpair @ X2113 @ X2114) @ X2110))))|~(func @ X2108 @ X2109 @ X2111)|~(func @ X2108 @ X2109 @ X2110))&(((ap @ X2108 @ X2109 @ X2110 @ (esk71_4 @ X2108 @ X2109 @ X2110 @ X2111))!=(ap @ X2108 @ X2109 @ X2111 @ (esk71_4 @ X2108 @ X2109 @ X2110 @ X2111)))|(~(in @ X2113 @ X2108)|(~(in @ X2114 @ X2109)|(~(in @ (kpair @ X2113 @ X2114) @ X2111)|(in @ (kpair @ X2113 @ X2114) @ X2110))))|~(func @ X2108 @ X2109 @ X2111)|~(func @ X2108 @ X2109 @ X2110)))&((~(in @ X2117 @ (funcSet @ X2115 @ X2116))|(~(in @ X2118 @ X2115)|(~(in @ X2119 @ X2116)|(~(in @ (kpair @ X2118 @ X2119) @ X2117)|((ap @ X2115 @ X2116 @ X2117 @ X2118)=(X2119))))))&((((in @ (esk72_4 @ X2120 @ X2121 @ X2122 @ X2123) @ X2120)|(subset @ X2122 @ X2123)|~(subset @ X2123 @ (cartprod @ X2120 @ X2121))|~(subset @ X2122 @ (cartprod @ X2120 @ X2121)))&(((in @ (esk73_4 @ X2120 @ X2121 @ X2122 @ X2123) @ X2121)|(subset @ X2122 @ X2123)|~(subset @ X2123 @ (cartprod @ X2120 @ X2121))|~(subset @ X2122 @ (cartprod @ X2120 @ X2121)))&(((in @ (kpair @ (esk72_4 @ X2120 @ X2121 @ X2122 @ X2123) @ (esk73_4 @ X2120 @ X2121 @ X2122 @ X2123)) @ X2122)|(subset @ X2122 @ X2123)|~(subset @ X2123 @ (cartprod @ X2120 @ X2121))|~(subset @ X2122 @ (cartprod @ X2120 @ X2121)))&(~(in @ (kpair @ (esk72_4 @ X2120 @ X2121 @ X2122 @ X2123) @ (esk73_4 @ X2120 @ X2121 @ X2122 @ X2123)) @ X2123)|(subset @ X2122 @ X2123)|~(subset @ X2123 @ (cartprod @ X2120 @ X2121))|~(subset @ X2122 @ (cartprod @ X2120 @ X2121))))))&(((((in @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2126)|((X2128)=(X2129))|(in @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2126)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(((in @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2127)|((X2128)=(X2129))|(in @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2126)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(((in @ (kpair @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2129)|((X2128)=(X2129))|(in @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2126)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(~(in @ (kpair @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2128)|((X2128)=(X2129))|(in @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2126)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127))))))&((((in @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2126)|((X2128)=(X2129))|(in @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2127)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(((in @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2127)|((X2128)=(X2129))|(in @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2127)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(((in @ (kpair @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2129)|((X2128)=(X2129))|(in @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2127)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(~(in @ (kpair @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2128)|((X2128)=(X2129))|(in @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2127)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127))))))&((((in @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2126)|((X2128)=(X2129))|(in @ (kpair @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2128)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(((in @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2127)|((X2128)=(X2129))|(in @ (kpair @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2128)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(((in @ (kpair @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2129)|((X2128)=(X2129))|(in @ (kpair @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2128)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(~(in @ (kpair @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2128)|((X2128)=(X2129))|(in @ (kpair @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2128)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127))))))&(((in @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2126)|((X2128)=(X2129))|~(in @ (kpair @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2129)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(((in @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129) @ X2127)|((X2128)=(X2129))|~(in @ (kpair @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2129)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(((in @ (kpair @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2129)|((X2128)=(X2129))|~(in @ (kpair @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2129)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))&(~(in @ (kpair @ (esk76_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk77_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2128)|((X2128)=(X2129))|~(in @ (kpair @ (esk74_4 @ X2126 @ X2127 @ X2128 @ X2129) @ (esk75_4 @ X2126 @ X2127 @ X2128 @ X2129)) @ X2129)|~(subset @ X2129 @ (cartprod @ X2126 @ X2127))|~(subset @ X2128 @ (cartprod @ X2126 @ X2127)))))))))&((((in @ (esk78_4 @ X2134 @ X2135 @ X2136 @ X2137) @ X2134)|((X2136)=(X2137))|~(func @ X2134 @ X2135 @ X2137)|~(func @ X2134 @ X2135 @ X2136))&(((ap @ X2134 @ X2135 @ X2136 @ (esk78_4 @ X2134 @ X2135 @ X2136 @ X2137))!=(ap @ X2134 @ X2135 @ X2137 @ (esk78_4 @ X2134 @ X2135 @ X2136 @ X2137)))|((X2136)=(X2137))|~(func @ X2134 @ X2135 @ X2137)|~(func @ X2134 @ X2135 @ X2136)))&((((in @ (esk79_4 @ X2139 @ X2140 @ X2141 @ X2142) @ X2139)|((X2141)=(X2142))|~(in @ X2142 @ (funcSet @ X2139 @ X2140))|~(in @ X2141 @ (funcSet @ X2139 @ X2140)))&(((ap @ X2139 @ X2140 @ X2141 @ (esk79_4 @ X2139 @ X2140 @ X2141 @ X2142))!=(ap @ X2139 @ X2140 @ X2142 @ (esk79_4 @ X2139 @ X2140 @ X2141 @ X2142)))|((X2141)=(X2142))|~(in @ X2142 @ (funcSet @ X2139 @ X2140))|~(in @ X2141 @ (funcSet @ X2139 @ X2140))))&((~(in @ X2146 @ (funcSet @ X2144 @ X2145))|(~(in @ X2147 @ X2144)|((ap @ X2144 @ X2145 @ X2146 @ X2147)=(ap @ X2144 @ X2145 @ X2146 @ X2147))))&((~(func @ X2148 @ X2149 @ X2150)|(~(in @ X2151 @ X2148)|((ap @ X2148 @ X2149 @ X2150 @ X2151)=(ap @ X2148 @ X2149 @ X2150 @ X2151))))&((((in @ (esk80_3 @ X2152 @ X2153 @ X2154) @ X2152)|(~(in @ X2156 @ X2152)|((ap @ X2152 @ X2153 @ (lam @ X2152 @ X2153 @ X2154) @ X2156)=(X2154 @ X2156))))&(~(in @ (X2154 @ (esk80_3 @ X2152 @ X2153 @ X2154)) @ X2153)|(~(in @ X2156 @ X2152)|((ap @ X2152 @ X2153 @ (lam @ X2152 @ X2153 @ X2154) @ X2156)=(X2154 @ X2156)))))&((~(func @ X2157 @ X2158 @ X2159)|((lam @ X2157 @ X2158 @ (ap @ X2157 @ X2158 @ X2159))=(X2159)))&((((in @ (esk81_3 @ X2160 @ X2161 @ X2162) @ X2160)|((lam @ X2160 @ X2161 @ X2162)=(lam @ X2160 @ X2161 @ X2162)))&(~(in @ (X2162 @ (esk81_3 @ X2160 @ X2161 @ X2162)) @ X2161)|((lam @ X2160 @ X2161 @ X2162)=(lam @ X2160 @ X2161 @ X2162))))&((((in @ (esk82_3 @ X2164 @ X2165 @ X2166) @ X2164)|(~(in @ X2168 @ X2164)|((ap @ X2164 @ X2165 @ (lam @ X2164 @ X2165 @ X2166) @ X2168)=(X2166 @ X2168))))&(~(in @ (X2166 @ (esk82_3 @ X2164 @ X2165 @ X2166)) @ X2165)|(~(in @ X2168 @ X2164)|((ap @ X2164 @ X2165 @ (lam @ X2164 @ X2165 @ X2166) @ X2168)=(X2166 @ X2168)))))&((~(in @ X2171 @ (funcSet @ X2169 @ X2170))|((lam @ X2169 @ X2170 @ (ap @ X2169 @ X2170 @ X2171))=(X2171)))&((~(in @ X2174 @ X2172)|(~(in @ X2175 @ X2172)|((X2173)|(in @ X2175 @ (dsetconstr @ X2172 @ (^[Z0:$i]:((((((X2173))&(((Z0)=(X2174)))))|(((~((X2173)))&(((Z0)=(X2175)))))))))))))&((~(in @ X2178 @ X2176)|(~(in @ X2179 @ X2176)|((X2177)|((dsetconstr @ X2176 @ (^[Z0:$i]:((((((X2177))&(((Z0)=(X2178)))))|(((~((X2177)))&(((Z0)=(X2179)))))))))=(setadjoin @ X2179 @ emptyset)))))&((~(in @ X2182 @ X2180)|(~(in @ X2183 @ X2180)|(~(X2181)|(in @ X2182 @ (dsetconstr @ X2180 @ (^[Z0:$i]:((((((X2181))&(((Z0)=(X2182)))))|(((~((X2181)))&(((Z0)=(X2183)))))))))))))&((~(in @ X2186 @ X2184)|(~(in @ X2187 @ X2184)|(~(X2185)|((dsetconstr @ X2184 @ (^[Z0:$i]:((((((X2185))&(((Z0)=(X2186)))))|(((~((X2185)))&(((Z0)=(X2187)))))))))=(setadjoin @ X2186 @ emptyset)))))&((~(in @ X2190 @ X2188)|(~(in @ X2191 @ X2188)|(singleton @ (dsetconstr @ X2188 @ (^[Z0:$i]:((((((X2189))&(((Z0)=(X2190)))))|(((~((X2189)))&(((Z0)=(X2191))))))))))))&((~(in @ X2194 @ X2192)|(~(in @ X2195 @ X2192)|(in @ (if @ X2192 @ ((X2193)) @ X2194 @ X2195) @ X2192)))&((~(singleton @ X2196)|(~(in @ X2197 @ X2196)|((setunion @ X2196)=(X2197))))&((~(in @ X2200 @ X2198)|(~(in @ X2201 @ X2198)|(~(X2199)|((if @ X2198 @ ((X2199)) @ X2200 @ X2201)=(X2200)))))&((in @ esk84_0 @ esk83_0)&((in @ esk85_0 @ esk83_0)&(~(epred2_0)&(((~(epred2_0)|(epred2_0))&(((if @ esk83_0 @ $false @ esk84_0 @ esk85_0)!=(esk85_0))|(epred2_0)))&((~(epred2_0)|((if @ esk83_0 @ $true @ esk84_0 @ esk85_0)!=(esk85_0)))&(((if @ esk83_0 @ $false @ esk84_0 @ esk85_0)!=(esk85_0))|((if @ esk83_0 @ $true @ esk84_0 @ esk85_0)!=(esk85_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_312])])])])])])])])).
% 222.37/32.32 thf(c_0_315, plain, ![X1488:$i, X1489:$o, X1490:$i, X1491:$i]:(((if @ X1488 @ ((X1489)) @ X1490 @ X1491)=(setunion @ (dsetconstr @ X1488 @ (^[Z0:$i]:((((((X1489))&(((Z0)=(X1490)))))|(((~((X1489)))&(((Z0)=(X1491)))))))))))), inference(variable_rename,[status(thm)],[c_0_313])).
% 222.37/32.32 thf(c_0_316, negated_conjecture, ((epred2_0)|((if @ esk83_0 @ (~($true)) @ esk84_0 @ esk85_0)!=(esk85_0))), inference(split_conjunct,[status(thm)],[c_0_314])).
% 222.37/32.32 thf(c_0_317, plain, ![X2:$i, X3:$i, X10:$o, X4:$i]:(((if @ X2 @ ((X10)) @ X3 @ X4)=(setunion @ (dsetconstr @ X2 @ (^[Z0:$i]:((((((X10))&(((Z0)=(X3)))))|(((~((X10)))&(((Z0)=(X4)))))))))))), inference(split_conjunct,[status(thm)],[c_0_315])).
% 222.37/32.32 thf(c_0_318, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:((((if @ X3 @ (($true)) @ X2 @ X4)=(X2))|~((in @ X2 @ X3))|~((in @ X4 @ X3)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_314])])])).
% 222.37/32.32 thf(c_0_319, negated_conjecture, ((epred2_0)|((setunion @ (dsetconstr @ esk83_0 @ (^[Z0:$i]:(((((~($true))&(((Z0)=(esk84_0)))))|(((~(~($true)))&(((Z0)=(esk85_0))))))))))!=(esk85_0))), inference(rw,[status(thm)],[c_0_316, c_0_317])).
% 222.37/32.32 thf(c_0_320, negated_conjecture, ~((epred2_0)), inference(split_conjunct,[status(thm)],[c_0_314])).
% 222.37/32.32 thf(c_0_321, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:((((setunion @ (dsetconstr @ X3 @ (^[Z0:$i]:(((((($true))&(((Z0)=(X2)))))|(((~(($true)))&(((Z0)=(X4))))))))))=(X2))|~((in @ X4 @ X3))|~((in @ X2 @ X3)))), inference(rw,[status(thm)],[c_0_318, c_0_317])).
% 222.37/32.32 thf(c_0_322, negated_conjecture, ((setunion @ (dsetconstr @ esk83_0 @ (^[Z0:$i]:(((Z0)=(esk85_0))))))!=(esk85_0)), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_319, c_0_320])])).
% 222.37/32.32 thf(c_0_323, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:((((setunion @ (dsetconstr @ X2 @ (^[Z0:$i]:(((Z0)=(X3))))))=(X3))|~((in @ X4 @ X2))|~((in @ X3 @ X2)))), inference(cn,[status(thm)],[c_0_321])).
% 222.37/32.32 thf(c_0_324, negated_conjecture, (in @ esk85_0 @ esk83_0), inference(split_conjunct,[status(thm)],[c_0_314])).
% 222.37/32.32 thf(c_0_325, negated_conjecture, (in @ esk84_0 @ esk83_0), inference(split_conjunct,[status(thm)],[c_0_314])).
% 222.37/32.32 thf(c_0_326, plain, ![X2:$i]:(~((in @ X2 @ esk83_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_322, c_0_323])])]), c_0_324])])).
% 222.37/32.32 thf(c_0_327, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_325, c_0_326]), ['proof']).
% 222.37/32.32 % SZS output end CNFRefutation
% 222.37/32.32 % Parsed axioms : 492
% 222.37/32.32 % Removed by relevancy pruning/SinE : 0
% 222.37/32.32 % Initial clauses : 663
% 222.37/32.32 % Removed in clause preprocessing : 293
% 222.37/32.32 % Initial clauses in saturation : 370
% 222.37/32.32 % Processed clauses : 710
% 222.37/32.32 % ...of these trivial : 10
% 222.37/32.32 % ...subsumed : 31
% 222.37/32.32 % ...remaining for further processing : 669
% 222.37/32.32 % Other redundant clauses eliminated : 52
% 222.37/32.32 % Clauses deleted for lack of memory : 0
% 222.37/32.32 % Backward-subsumed : 2
% 222.37/32.32 % Backward-rewritten : 2
% 222.37/32.32 % Generated clauses : 8168
% 222.37/32.32 % ...of the previous two non-redundant : 7941
% 222.37/32.32 % ...aggressively subsumed : 0
% 222.37/32.32 % Contextual simplify-reflections : 0
% 222.37/32.32 % Paramodulations : 8079
% 222.37/32.32 % Factorizations : 2
% 222.37/32.32 % NegExts : 1
% 222.37/32.32 % Equation resolutions : 59
% 222.37/32.32 % Disequality decompositions : 0
% 222.37/32.32 % Total rewrite steps : 199
% 222.37/32.32 % ...of those cached : 136
% 222.37/32.32 % Propositional unsat checks : 0
% 222.37/32.32 % Propositional check models : 0
% 222.37/32.32 % Propositional check unsatisfiable : 0
% 222.37/32.32 % Propositional clauses : 0
% 222.37/32.32 % Propositional clauses after purity: 0
% 222.37/32.32 % Propositional unsat core size : 0
% 222.37/32.32 % Propositional preprocessing time : 0.000
% 222.37/32.32 % Propositional encoding time : 0.000
% 222.37/32.32 % Propositional solver time : 0.000
% 222.37/32.32 % Success case prop preproc time : 0.000
% 222.37/32.32 % Success case prop encoding time : 0.000
% 222.37/32.32 % Success case prop solver time : 0.000
% 222.37/32.32 % Current number of processed clauses : 325
% 222.37/32.32 % Positive orientable unit clauses : 30
% 222.37/32.32 % Positive unorientable unit clauses: 0
% 222.37/32.32 % Negative unit clauses : 4
% 222.37/32.32 % Non-unit-clauses : 291
% 222.37/32.32 % Current number of unprocessed clauses: 7921
% 222.37/32.32 % ...number of literals in the above : 35000
% 222.37/32.32 % Current number of archived formulas : 0
% 222.37/32.32 % Current number of archived clauses : 330
% 222.37/32.32 % Clause-clause subsumption calls (NU) : 46952
% 222.37/32.32 % Rec. Clause-clause subsumption calls : 17801
% 222.37/32.32 % Non-unit clause-clause subsumptions : 25
% 222.37/32.32 % Unit Clause-clause subsumption calls : 90
% 222.37/32.32 % Rewrite failures with RHS unbound : 0
% 222.37/32.32 % BW rewrite match attempts : 23
% 222.37/32.32 % BW rewrite match successes : 2
% 222.37/32.32 % Condensation attempts : 0
% 222.37/32.32 % Condensation successes : 0
% 222.37/32.32 % Termbank termtop insertions : 226104
% 222.37/32.32 % Search garbage collected termcells : 24630
% 222.37/32.32
% 222.37/32.32 % -------------------------------------------------
% 222.37/32.32 % User time : 30.789 s
% 222.37/32.32 % System time : 1.030 s
% 222.37/32.32 % Total time : 31.819 s
% 222.37/32.32 % Maximum resident set size: 9284 pages
% 222.37/32.32
% 222.37/32.32 % -------------------------------------------------
% 222.37/32.32 % User time : 30.812 s
% 222.37/32.32 % System time : 1.043 s
% 222.37/32.32 % Total time : 31.854 s
% 222.37/32.32 % Maximum resident set size: 5376 pages
% 222.37/32.32 % E exiting
%------------------------------------------------------------------------------