%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU690^1 : 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 : n013.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 08:27:14 AM UTC 2026
% Result : Theorem 2.50s 0.64s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU690^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n013.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 14:10:07 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.22/0.26 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p
% 2.50/0.64 % Version: 3.5.1-ho
% 2.50/0.64 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.50/0.64 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.50/0.64 % Starting ehoh_best5 with 300s (1) cores
% 2.50/0.64 % Starting almost_fo_3_lam with 300s (1) cores
% 2.50/0.64 % Starting new_bool_5 with 300s (1) cores
% 2.50/0.64 % Starting pre_casc_3 with 300s (1) cores
% 2.50/0.64 % Starting ho_unfolding_8 with 300s (1) cores
% 2.50/0.64 % Starting new_ho_10_cnf2 with 300s (1) cores
% 2.50/0.64 % Starting new_bool_3 with 300s (1) cores
% 2.50/0.64 % Starting new_ho_5 with 300s (1) cores
% 2.50/0.64 % ho_unfolding_8 with pid 2176199 completed with status 0
% 2.50/0.64 % Result found by ho_unfolding_8
% 2.50/0.64 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.50/0.64 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.50/0.64 % Starting ehoh_best5 with 300s (1) cores
% 2.50/0.64 % Starting almost_fo_3_lam with 300s (1) cores
% 2.50/0.64 % Starting new_bool_5 with 300s (1) cores
% 2.50/0.64 % Starting pre_casc_3 with 300s (1) cores
% 2.50/0.64 % Starting ho_unfolding_8 with 300s (1) cores
% 2.50/0.64 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.50/0.64 % No SInE strategy applied
% 2.50/0.64 % Search class: HGHSM-FSLM32-DHFMMSBN
% 2.50/0.64 % partial match(1): HGHSM-FSLM32-MHFMMSBN
% 2.50/0.64 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 2.50/0.64 % Starting SubtermCWHack with 31s (1) cores
% 2.50/0.64 % SubtermCWHack with pid 2176249 completed with status 0
% 2.50/0.64 % Result found by SubtermCWHack
% 2.50/0.64 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.50/0.64 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.50/0.64 % Starting ehoh_best5 with 300s (1) cores
% 2.50/0.64 % Starting almost_fo_3_lam with 300s (1) cores
% 2.50/0.64 % Starting new_bool_5 with 300s (1) cores
% 2.50/0.64 % Starting pre_casc_3 with 300s (1) cores
% 2.50/0.64 % Starting ho_unfolding_8 with 300s (1) cores
% 2.50/0.64 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.50/0.64 % No SInE strategy applied
% 2.50/0.64 % Search class: HGHSM-FSLM32-DHFMMSBN
% 2.50/0.64 % partial match(1): HGHSM-FSLM32-MHFMMSBN
% 2.50/0.64 % Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 2.50/0.64 % Starting SubtermCWHack with 31s (1) cores
% 2.50/0.64 % Preprocessing time : 0.007 s
% 2.50/0.64
% 2.50/0.64 % Proof found!
% 2.50/0.64 % SZS status Theorem
% 2.50/0.64 % SZS output start CNFRefutation
% 2.50/0.64 thf(decl_23, type, in: $i > $i > $o).
% 2.50/0.64 thf(decl_24, type, exu: ($i > $o) > $o).
% 2.50/0.64 thf(decl_25, type, setextAx: $o).
% 2.50/0.64 thf(decl_26, type, emptyset: $i).
% 2.50/0.64 thf(decl_27, type, emptysetAx: $o).
% 2.50/0.64 thf(decl_28, type, setadjoin: $i > $i > $i).
% 2.50/0.64 thf(decl_29, type, setadjoinAx: $o).
% 2.50/0.64 thf(decl_30, type, powerset: $i > $i).
% 2.50/0.64 thf(decl_31, type, powersetAx: $o).
% 2.50/0.64 thf(decl_32, type, setunion: $i > $i).
% 2.50/0.64 thf(decl_33, type, setunionAx: $o).
% 2.50/0.64 thf(decl_34, type, omega: $i).
% 2.50/0.64 thf(decl_35, type, omega0Ax: $o).
% 2.50/0.64 thf(decl_36, type, omegaSAx: $o).
% 2.50/0.64 thf(decl_37, type, omegaIndAx: $o).
% 2.50/0.64 thf(decl_38, type, replAx: $o).
% 2.50/0.64 thf(decl_39, type, foundationAx: $o).
% 2.50/0.64 thf(decl_40, type, wellorderingAx: $o).
% 2.50/0.64 thf(decl_41, type, descr: ($i > $o) > $i).
% 2.50/0.64 thf(decl_42, type, descrp: $o).
% 2.50/0.64 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_44, type, dsetconstrI: $o).
% 2.50/0.64 thf(decl_45, type, dsetconstrEL: $o).
% 2.50/0.64 thf(decl_46, type, dsetconstrER: $o).
% 2.50/0.64 thf(decl_47, type, exuE1: $o).
% 2.50/0.64 thf(decl_48, type, prop2set: $o > $i).
% 2.50/0.64 thf(decl_49, type, prop2setE: $o).
% 2.50/0.64 thf(decl_50, type, emptysetE: $o).
% 2.50/0.64 thf(decl_51, type, emptysetimpfalse: $o).
% 2.50/0.64 thf(decl_52, type, notinemptyset: $o).
% 2.50/0.64 thf(decl_53, type, exuE3e: $o).
% 2.50/0.64 thf(decl_54, type, setext: $o).
% 2.50/0.64 thf(decl_55, type, emptyI: $o).
% 2.50/0.64 thf(decl_56, type, noeltsimpempty: $o).
% 2.50/0.64 thf(decl_57, type, setbeta: $o).
% 2.50/0.64 thf(decl_58, type, nonempty: $i > $o).
% 2.50/0.64 thf(decl_59, type, nonemptyE1: $o).
% 2.50/0.64 thf(decl_60, type, nonemptyI: $o).
% 2.50/0.64 thf(decl_61, type, nonemptyI1: $o).
% 2.50/0.64 thf(decl_62, type, setadjoinIL: $o).
% 2.50/0.64 thf(decl_63, type, emptyinunitempty: $o).
% 2.50/0.64 thf(decl_64, type, setadjoinIR: $o).
% 2.50/0.64 thf(decl_65, type, setadjoinE: $o).
% 2.50/0.64 thf(decl_66, type, setadjoinOr: $o).
% 2.50/0.64 thf(decl_67, type, setoftrueEq: $o).
% 2.50/0.64 thf(decl_68, type, powersetI: $o).
% 2.50/0.64 thf(decl_69, type, emptyinPowerset: $o).
% 2.50/0.64 thf(decl_70, type, emptyInPowerset: $o).
% 2.50/0.64 thf(decl_71, type, powersetE: $o).
% 2.50/0.64 thf(decl_72, type, setunionI: $o).
% 2.50/0.64 thf(decl_73, type, setunionE: $o).
% 2.50/0.64 thf(decl_74, type, subPowSU: $o).
% 2.50/0.64 thf(decl_75, type, exuE2: $o).
% 2.50/0.64 thf(decl_76, type, nonemptyImpWitness: $o).
% 2.50/0.64 thf(decl_77, type, uniqinunit: $o).
% 2.50/0.64 thf(decl_78, type, notinsingleton: $o).
% 2.50/0.64 thf(decl_79, type, eqinunit: $o).
% 2.50/0.64 thf(decl_80, type, singletonsswitch: $o).
% 2.50/0.64 thf(decl_81, type, upairsetE: $o).
% 2.50/0.64 thf(decl_82, type, upairsetIL: $o).
% 2.50/0.64 thf(decl_83, type, upairsetIR: $o).
% 2.50/0.64 thf(decl_84, type, emptyE1: $o).
% 2.50/0.64 thf(decl_85, type, vacuousDall: $o).
% 2.50/0.64 thf(decl_86, type, quantDeMorgan1: $o).
% 2.50/0.64 thf(decl_87, type, quantDeMorgan2: $o).
% 2.50/0.64 thf(decl_88, type, quantDeMorgan3: $o).
% 2.50/0.64 thf(decl_89, type, quantDeMorgan4: $o).
% 2.50/0.64 thf(decl_90, type, prop2setI: $o).
% 2.50/0.64 thf(decl_91, type, set2prop: $i > $o).
% 2.50/0.64 thf(decl_92, type, prop2set2propI: $o).
% 2.50/0.64 thf(decl_93, type, notdexE: $o).
% 2.50/0.64 thf(decl_94, type, notdallE: $o).
% 2.50/0.64 thf(decl_95, type, exuI1: $o).
% 2.50/0.64 thf(decl_96, type, exuI3: $o).
% 2.50/0.64 thf(decl_97, type, exuI2: $o).
% 2.50/0.64 thf(decl_98, type, inCongP: $o).
% 2.50/0.64 thf(decl_99, type, in__Cong: $o).
% 2.50/0.64 thf(decl_100, type, exuE3u: $o).
% 2.50/0.64 thf(decl_101, type, exu__Cong: $o).
% 2.50/0.64 thf(decl_102, type, emptyset__Cong: $o).
% 2.50/0.64 thf(decl_103, type, setadjoin__Cong: $o).
% 2.50/0.64 thf(decl_104, type, powerset__Cong: $o).
% 2.50/0.64 thf(decl_105, type, setunion__Cong: $o).
% 2.50/0.64 thf(decl_106, type, omega__Cong: $o).
% 2.50/0.64 thf(decl_107, type, exuEu: $o).
% 2.50/0.64 thf(decl_108, type, descr__Cong: $o).
% 2.50/0.64 thf(decl_109, type, dsetconstr__Cong: $o).
% 2.50/0.64 thf(decl_110, type, subset: $i > $i > $o).
% 2.50/0.64 thf(decl_113, type, subsetI1: $o).
% 2.50/0.64 thf(decl_114, type, eqimpsubset2: $o).
% 2.50/0.64 thf(decl_115, type, eqimpsubset1: $o).
% 2.50/0.64 thf(decl_116, type, subsetI2: $o).
% 2.50/0.64 thf(decl_117, type, emptysetsubset: $o).
% 2.50/0.64 thf(decl_118, type, subsetE: $o).
% 2.50/0.64 thf(decl_119, type, subsetE2: $o).
% 2.50/0.64 thf(decl_120, type, notsubsetI: $o).
% 2.50/0.64 thf(decl_121, type, notequalI1: $o).
% 2.50/0.64 thf(decl_122, type, notequalI2: $o).
% 2.50/0.64 thf(decl_123, type, subsetRefl: $o).
% 2.50/0.64 thf(decl_124, type, subsetTrans: $o).
% 2.50/0.64 thf(decl_125, type, setadjoinSub: $o).
% 2.50/0.64 thf(decl_126, type, setadjoinSub2: $o).
% 2.50/0.64 thf(decl_127, type, subset2powerset: $o).
% 2.50/0.64 thf(decl_128, type, setextsub: $o).
% 2.50/0.64 thf(decl_129, type, subsetemptysetimpeq: $o).
% 2.50/0.64 thf(decl_130, type, powersetI1: $o).
% 2.50/0.64 thf(decl_131, type, powersetE1: $o).
% 2.50/0.64 thf(decl_132, type, inPowerset: $o).
% 2.50/0.64 thf(decl_133, type, powersetsubset: $o).
% 2.50/0.64 thf(decl_134, type, sepInPowerset: $o).
% 2.50/0.64 thf(decl_135, type, sepSubset: $o).
% 2.50/0.64 thf(decl_136, type, binunion: $i > $i > $i).
% 2.50/0.64 thf(decl_137, type, binunionIL: $o).
% 2.50/0.64 thf(decl_138, type, upairset2IR: $o).
% 2.50/0.64 thf(decl_139, type, binunionIR: $o).
% 2.50/0.64 thf(decl_140, type, binunionEcases: $o).
% 2.50/0.64 thf(decl_141, type, binunionE: $o).
% 2.50/0.64 thf(decl_142, type, binunionLsub: $o).
% 2.50/0.64 thf(decl_143, type, binunionRsub: $o).
% 2.50/0.64 thf(decl_144, type, binintersect: $i > $i > $i).
% 2.50/0.64 thf(decl_145, type, binintersectI: $o).
% 2.50/0.64 thf(decl_146, type, binintersectSubset5: $o).
% 2.50/0.64 thf(decl_147, type, binintersectEL: $o).
% 2.50/0.64 thf(decl_148, type, binintersectLsub: $o).
% 2.50/0.64 thf(decl_149, type, binintersectSubset2: $o).
% 2.50/0.64 thf(decl_150, type, binintersectSubset3: $o).
% 2.50/0.64 thf(decl_151, type, binintersectER: $o).
% 2.50/0.64 thf(decl_152, type, disjointsetsI1: $o).
% 2.50/0.64 thf(decl_153, type, binintersectRsub: $o).
% 2.50/0.64 thf(decl_154, type, binintersectSubset4: $o).
% 2.50/0.64 thf(decl_155, type, binintersectSubset1: $o).
% 2.50/0.64 thf(decl_156, type, bs114d: $o).
% 2.50/0.64 thf(decl_158, type, setminus: $i > $i > $i).
% 2.50/0.64 thf(decl_159, type, setminusI: $o).
% 2.50/0.64 thf(decl_160, type, setminusEL: $o).
% 2.50/0.64 thf(decl_161, type, setminusER: $o).
% 2.50/0.64 thf(decl_162, type, setminusSubset2: $o).
% 2.50/0.64 thf(decl_163, type, setminusERneg: $o).
% 2.50/0.64 thf(decl_164, type, setminusELneg: $o).
% 2.50/0.64 thf(decl_165, type, setminusILneg: $o).
% 2.50/0.64 thf(decl_166, type, setminusIRneg: $o).
% 2.50/0.64 thf(decl_167, type, setminusLsub: $o).
% 2.50/0.64 thf(decl_168, type, setminusSubset1: $o).
% 2.50/0.64 thf(decl_169, type, symdiff: $i > $i > $i).
% 2.50/0.64 thf(decl_170, type, symdiffE: $o).
% 2.50/0.64 thf(decl_171, type, symdiffI1: $o).
% 2.50/0.64 thf(decl_172, type, symdiffI2: $o).
% 2.50/0.64 thf(decl_173, type, symdiffIneg1: $o).
% 2.50/0.64 thf(decl_174, type, symdiffIneg2: $o).
% 2.50/0.64 thf(decl_175, type, iskpair: $i > $o).
% 2.50/0.64 thf(decl_176, type, secondinupair: $o).
% 2.50/0.64 thf(decl_177, type, setukpairIL: $o).
% 2.50/0.64 thf(decl_178, type, setukpairIR: $o).
% 2.50/0.64 thf(decl_179, type, kpairiskpair: $o).
% 2.50/0.64 thf(decl_180, type, kpair: $i > $i > $i).
% 2.50/0.64 thf(decl_181, type, kpairp: $o).
% 2.50/0.64 thf(decl_182, type, cartprod: $i > $i > $i).
% 2.50/0.64 thf(decl_183, type, singletonsubset: $o).
% 2.50/0.64 thf(decl_184, type, singletoninpowerset: $o).
% 2.50/0.64 thf(decl_185, type, singletoninpowunion: $o).
% 2.50/0.64 thf(decl_186, type, upairset2E: $o).
% 2.50/0.64 thf(decl_187, type, upairsubunion: $o).
% 2.50/0.64 thf(decl_188, type, upairinpowunion: $o).
% 2.50/0.64 thf(decl_189, type, ubforcartprodlem1: $o).
% 2.50/0.64 thf(decl_190, type, ubforcartprodlem2: $o).
% 2.50/0.64 thf(decl_191, type, ubforcartprodlem3: $o).
% 2.50/0.64 thf(decl_192, type, cartprodpairin: $o).
% 2.50/0.64 thf(decl_193, type, cartprodmempair1: $o).
% 2.50/0.64 thf(decl_194, type, cartprodmempair: $o).
% 2.50/0.64 thf(decl_195, type, setunionE2: $o).
% 2.50/0.64 thf(decl_196, type, setunionsingleton1: $o).
% 2.50/0.64 thf(decl_197, type, setunionsingleton2: $o).
% 2.50/0.64 thf(decl_198, type, setunionsingleton: $o).
% 2.50/0.64 thf(decl_199, type, singleton: $i > $o).
% 2.50/0.64 thf(decl_200, type, singletonprop: $o).
% 2.50/0.64 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 2.50/0.64 thf(decl_202, type, ex1E1: $o).
% 2.50/0.64 thf(decl_203, type, ex1I: $o).
% 2.50/0.64 thf(decl_204, type, ex1I2: $o).
% 2.50/0.64 thf(decl_205, type, singletonsuniq: $o).
% 2.50/0.64 thf(decl_210, type, setukpairinjL1: $o).
% 2.50/0.64 thf(decl_211, type, kfstsingleton: $o).
% 2.50/0.64 thf(decl_212, type, theprop: $o).
% 2.50/0.64 thf(decl_213, type, kfst: $i > $i).
% 2.50/0.64 thf(decl_214, type, kfstpairEq: $o).
% 2.50/0.64 thf(decl_215, type, cartprodfstin: $o).
% 2.50/0.64 thf(decl_216, type, setukpairinjL2: $o).
% 2.50/0.64 thf(decl_217, type, setukpairinjL: $o).
% 2.50/0.64 thf(decl_218, type, setukpairinjR11: $o).
% 2.50/0.64 thf(decl_219, type, setukpairinjR12: $o).
% 2.50/0.64 thf(decl_220, type, setukpairinjR1: $o).
% 2.50/0.64 thf(decl_221, type, upairequniteq: $o).
% 2.50/0.64 thf(decl_222, type, setukpairinjR2: $o).
% 2.50/0.64 thf(decl_223, type, setukpairinjR: $o).
% 2.50/0.64 thf(decl_224, type, ksndsingleton: $o).
% 2.50/0.64 thf(decl_225, type, ksnd: $i > $i).
% 2.50/0.64 thf(decl_226, type, ksndpairEq: $o).
% 2.50/0.64 thf(decl_227, type, kpairsurjEq: $o).
% 2.50/0.64 thf(decl_228, type, cartprodsndin: $o).
% 2.50/0.64 thf(decl_229, type, cartprodpairmemEL: $o).
% 2.50/0.64 thf(decl_230, type, cartprodpairmemER: $o).
% 2.50/0.64 thf(decl_231, type, cartprodmempaircEq: $o).
% 2.50/0.64 thf(decl_232, type, cartprodfstpairEq: $o).
% 2.50/0.64 thf(decl_233, type, cartprodsndpairEq: $o).
% 2.50/0.64 thf(decl_234, type, cartprodpairsurjEq: $o).
% 2.50/0.64 thf(decl_235, type, breln: $i > $i > $i > $o).
% 2.50/0.64 thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.50/0.64 thf(decl_237, type, dpsetconstrI: $o).
% 2.50/0.64 thf(decl_238, type, dpsetconstrSub: $o).
% 2.50/0.64 thf(decl_239, type, setOfPairsIsBReln: $o).
% 2.50/0.64 thf(decl_240, type, dpsetconstrERa: $o).
% 2.50/0.64 thf(decl_241, type, dpsetconstrEL1: $o).
% 2.50/0.64 thf(decl_242, type, dpsetconstrEL2: $o).
% 2.50/0.64 thf(decl_243, type, dpsetconstrER: $o).
% 2.50/0.64 thf(decl_244, type, func: $i > $i > $i > $o).
% 2.50/0.64 thf(decl_245, type, funcSet: $i > $i > $i).
% 2.50/0.64 thf(decl_246, type, funcImageSingleton: $o).
% 2.50/0.64 thf(decl_247, type, apProp: $o).
% 2.50/0.64 thf(decl_248, type, ap: $i > $i > $i > $i > $i).
% 2.50/0.64 thf(decl_249, type, app: $o).
% 2.50/0.64 thf(decl_250, type, infuncsetfunc: $o).
% 2.50/0.64 thf(decl_251, type, ap2p: $o).
% 2.50/0.64 thf(decl_252, type, funcinfuncset: $o).
% 2.50/0.64 thf(decl_253, type, lamProp: $o).
% 2.50/0.64 thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
% 2.50/0.64 thf(decl_255, type, lamp: $o).
% 2.50/0.64 thf(decl_256, type, lam2p: $o).
% 2.50/0.64 thf(decl_257, type, brelnall1: $o).
% 2.50/0.64 thf(decl_258, type, brelnall2: $o).
% 2.50/0.64 thf(decl_259, type, ex1E2: $o).
% 2.50/0.64 thf(decl_260, type, funcGraphProp1: $o).
% 2.50/0.64 thf(decl_261, type, funcGraphProp3: $o).
% 2.50/0.64 thf(decl_262, type, funcGraphProp2: $o).
% 2.50/0.64 thf(decl_263, type, funcextLem: $o).
% 2.50/0.64 thf(decl_264, type, funcGraphProp4: $o).
% 2.50/0.64 thf(decl_265, type, subbreln: $o).
% 2.50/0.64 thf(decl_266, type, epred1_0: $o).
% 2.50/0.64 thf(decl_267, type, esk1_2: $i > $i > $i).
% 2.50/0.64 thf(decl_268, type, esk2_2: $i > $i > $i).
% 2.50/0.64 thf(decl_269, type, esk3_2: $i > $i > $i).
% 2.50/0.64 thf(decl_270, type, esk4_1: $i > $i).
% 2.50/0.64 thf(decl_271, type, esk5_2: ($i > $i > $o) > $i > $i).
% 2.50/0.64 thf(decl_272, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 2.50/0.64 thf(decl_273, type, esk7_2: ($i > $i > $o) > $i > $i).
% 2.50/0.64 thf(decl_274, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 2.50/0.64 thf(decl_275, type, esk9_1: $i > $i).
% 2.50/0.64 thf(decl_276, type, esk10_2: ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_277, type, esk11_2: ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_278, type, esk12_1: ($i > $o) > $i).
% 2.50/0.64 thf(decl_279, type, esk13_2: ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_280, type, esk14_1: ($i > $o) > $i).
% 2.50/0.64 thf(decl_281, type, esk15_2: $i > $i > $i).
% 2.50/0.64 thf(decl_282, type, esk16_2: $i > $i > $i).
% 2.50/0.64 thf(decl_283, type, esk17_1: $i > $i).
% 2.50/0.64 thf(decl_284, type, esk18_1: $i > $i).
% 2.50/0.64 thf(decl_285, type, esk19_1: $i > $i).
% 2.50/0.64 thf(decl_286, type, esk20_2: $i > $i > $i).
% 2.50/0.64 thf(decl_287, type, esk21_3: $i > $i > $o > $i).
% 2.50/0.64 thf(decl_288, type, esk22_2: ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_289, type, esk23_1: ($i > $o) > $i).
% 2.50/0.64 thf(decl_290, type, esk24_1: $i > $i).
% 2.50/0.64 thf(decl_291, type, esk25_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_292, type, esk26_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_293, type, esk27_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_294, type, esk28_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_295, type, esk29_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_296, type, esk30_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_297, type, esk31_2: ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_298, type, esk32_1: ($i > $o) > $i).
% 2.50/0.64 thf(decl_299, type, esk33_1: ($i > $o) > $i).
% 2.50/0.64 thf(decl_300, type, esk34_1: ($i > $o) > $i).
% 2.50/0.64 thf(decl_301, type, esk35_1: ($i > $o) > $i).
% 2.50/0.64 thf(decl_302, type, esk36_2: ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_303, type, esk37_1: ($i > $o) > $i).
% 2.50/0.64 thf(decl_304, type, esk38_2: ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_305, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 2.50/0.64 thf(decl_306, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 2.50/0.64 thf(decl_307, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_308, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 2.50/0.64 thf(decl_309, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_310, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 2.50/0.64 thf(decl_311, type, esk45_2: ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_312, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 2.50/0.64 thf(decl_313, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 2.50/0.64 thf(decl_314, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_315, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_316, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.50/0.64 thf(decl_317, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.50/0.64 thf(decl_318, type, esk52_2: $i > $i > $i).
% 2.50/0.64 thf(decl_319, type, esk53_2: $i > $i > $i).
% 2.50/0.64 thf(decl_320, type, esk54_2: $i > $i > $i).
% 2.50/0.64 thf(decl_321, type, esk55_3: $i > $i > $i > $i).
% 2.50/0.64 thf(decl_322, type, esk56_3: $i > $i > $i > $i).
% 2.50/0.64 thf(decl_323, type, esk57_2: $i > $i > $i).
% 2.50/0.64 thf(decl_324, type, esk58_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_325, type, esk59_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_326, type, esk60_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_327, type, esk61_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_328, type, esk62_3: $i > ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_329, type, esk63_3: $i > ($i > $o) > $i > $i).
% 2.50/0.64 thf(decl_330, type, esk64_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_331, type, esk65_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_332, type, esk66_2: $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_333, type, esk67_1: $i > $i).
% 2.50/0.64 thf(decl_334, type, esk68_1: $i > $i).
% 2.50/0.64 thf(decl_335, type, esk69_3: $i > $i > $i > $i).
% 2.50/0.64 thf(decl_336, type, esk70_4: $i > $i > $i > $i > $i).
% 2.50/0.64 thf(decl_337, type, esk71_3: $i > $i > $i > $i).
% 2.50/0.64 thf(decl_338, type, esk72_3: $i > $i > $i > $i).
% 2.50/0.64 thf(decl_339, type, esk73_4: $i > $i > $i > $i > $i).
% 2.50/0.64 thf(decl_340, type, esk74_3: $i > $i > $i > $i).
% 2.50/0.64 thf(decl_341, type, esk75_3: $i > $i > ($i > $i) > $i).
% 2.50/0.64 thf(decl_342, type, esk76_4: $i > $i > ($i > $i) > $i > $i).
% 2.50/0.64 thf(decl_343, type, esk77_3: $i > $i > ($i > $i) > $i).
% 2.50/0.64 thf(decl_344, type, esk78_4: $i > $i > ($i > $i) > $i > $i).
% 2.50/0.64 thf(decl_345, type, esk79_3: $i > $i > ($i > $i) > $i).
% 2.50/0.64 thf(decl_346, type, esk80_4: $i > $i > $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_347, type, esk81_4: $i > $i > $i > ($i > $o) > $i).
% 2.50/0.64 thf(decl_348, type, esk82_4: $i > $i > $i > ($i > $o) > $i).
% 2.86/0.64 thf(decl_349, type, esk83_4: $i > $i > $i > ($i > $o) > $i).
% 2.86/0.64 thf(decl_350, type, esk84_3: $i > $i > $i > $i).
% 2.86/0.64 thf(decl_351, type, esk85_3: $i > $i > $i > $i).
% 2.86/0.64 thf(decl_352, type, esk86_3: $i > $i > $i > $i).
% 2.86/0.64 thf(decl_353, type, esk87_4: $i > $i > $i > $i > $i).
% 2.86/0.64 thf(decl_354, type, esk88_4: $i > $i > $i > $i > $i).
% 2.86/0.64 thf(decl_355, type, esk89_4: $i > $i > $i > $i > $i).
% 2.86/0.64 thf(decl_356, type, esk90_4: $i > $i > $i > $i > $i).
% 2.86/0.64 thf(decl_357, type, esk91_0: $i).
% 2.86/0.64 thf(decl_358, type, esk92_0: $i).
% 2.86/0.64 thf(decl_359, type, esk93_0: $i).
% 2.86/0.64 thf(decl_360, type, esk94_0: $i).
% 2.86/0.64 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', ex1)).
% 2.86/0.64 thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ X4))&(((X4)=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', singleton)).
% 2.86/0.64 thf(func, axiom, ((func)=(^[X4:$i, X5:$i, X29:$i]:((((breln @ X4 @ X5 @ X29))&(![X2:$i]:((((in @ X2 @ X4))=>((ex1 @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', func)).
% 2.86/0.64 thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', breln)).
% 2.86/0.64 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', replAx)).
% 2.86/0.64 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', exu)).
% 2.86/0.64 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', descrp)).
% 2.86/0.64 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', exuE1)).
% 2.86/0.64 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', exuE3e)).
% 2.86/0.64 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', nonempty)).
% 2.86/0.64 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', nonemptyI)).
% 2.86/0.64 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', exuE2)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', exuI1)).
% 2.86/0.64 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', exuI3)).
% 2.86/0.64 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', exuI2)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', exuE3u)).
% 2.86/0.64 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', exu__Cong)).
% 2.86/0.64 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', exuEu)).
% 2.86/0.64 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', descr__Cong)).
% 2.86/0.64 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', singletonprop)).
% 2.86/0.64 thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', ex1E1)).
% 2.86/0.64 thf(ex1I, axiom, ((ex1I)<=>![X4:$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.h4qDX6O35I/E---3.1_2176157.p', ex1I)).
% 2.86/0.64 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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', ex1I2)).
% 2.86/0.64 thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', kfstsingleton)).
% 2.86/0.64 thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', ksndsingleton)).
% 2.86/0.64 thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setOfPairsIsBReln)).
% 2.86/0.64 thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30)))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', funcImageSingleton)).
% 2.86/0.64 thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', apProp)).
% 2.86/0.64 thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X31 @ X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', lamProp)).
% 2.86/0.64 thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X33 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', lamp)).
% 2.86/0.64 thf(ex1E2, axiom, ((ex1E2)<=>![X4:$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.h4qDX6O35I/E---3.1_2176157.p', ex1E2)).
% 2.86/0.64 thf(eqbreln, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X36:$i]:(((breln @ X4 @ X5 @ X36)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(in @ (kpair @ X2 @ X3) @ X36))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X36)=>(in @ (kpair @ X2 @ X3) @ X29))))))=>((X29)=(X36)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', eqbreln)).
% 2.86/0.64 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', dsetconstrI)).
% 2.86/0.64 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', dsetconstrEL)).
% 2.86/0.64 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', dsetconstrER)).
% 2.86/0.64 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setbeta)).
% 2.86/0.64 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', nonemptyE1)).
% 2.86/0.64 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', nonemptyI1)).
% 2.86/0.64 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setoftrueEq)).
% 2.86/0.64 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', nonemptyImpWitness)).
% 2.86/0.64 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.h4qDX6O35I/E---3.1_2176157.p', emptyE1)).
% 2.86/0.64 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', dsetconstr__Cong)).
% 2.86/0.64 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', sepInPowerset)).
% 2.86/0.64 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', sepSubset)).
% 2.86/0.64 thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', theprop)).
% 2.86/0.64 thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', dpsetconstrI)).
% 2.86/0.64 thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', dpsetconstrSub)).
% 2.86/0.64 thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', dpsetconstrERa)).
% 2.86/0.64 thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', dpsetconstrEL1)).
% 2.86/0.64 thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', dpsetconstrEL2)).
% 2.86/0.64 thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', dpsetconstrER)).
% 2.86/0.64 thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', app)).
% 2.86/0.64 thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X30)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', infuncsetfunc)).
% 2.86/0.64 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>(in @ X30 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', funcinfuncset)).
% 2.86/0.64 thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X34:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X34 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X34 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', lam2p)).
% 2.86/0.64 thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', brelnall1)).
% 2.86/0.64 thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', brelnall2)).
% 2.86/0.64 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', funcGraphProp1)).
% 2.86/0.64 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X30)=>((ap @ X4 @ X5 @ X30 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', funcGraphProp2)).
% 2.86/0.64 thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X35:$i]:(((func @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X30 @ X2)=(ap @ X4 @ X5 @ X35 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X30)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', funcextLem)).
% 2.86/0.64 thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X36:$i]:(((breln @ X4 @ X5 @ X36)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(in @ (kpair @ X2 @ X3) @ X36))))))=>(subset @ X29 @ X36))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', subbreln)).
% 2.86/0.64 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setextAx)).
% 2.86/0.64 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', emptysetAx)).
% 2.86/0.64 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setadjoinAx)).
% 2.86/0.64 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', powersetAx)).
% 2.86/0.64 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setunionAx)).
% 2.86/0.64 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', omega0Ax)).
% 2.86/0.64 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', omegaSAx)).
% 2.86/0.64 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', omegaIndAx)).
% 2.86/0.64 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', foundationAx)).
% 2.86/0.64 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.h4qDX6O35I/E---3.1_2176157.p', wellorderingAx)).
% 2.86/0.64 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', prop2setE)).
% 2.86/0.64 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', emptysetE)).
% 2.86/0.64 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', emptysetimpfalse)).
% 2.86/0.64 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', notinemptyset)).
% 2.86/0.64 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setext)).
% 2.86/0.64 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', emptyI)).
% 2.86/0.64 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', noeltsimpempty)).
% 2.86/0.64 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setadjoinIL)).
% 2.86/0.64 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', emptyinunitempty)).
% 2.86/0.64 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setadjoinIR)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', setadjoinE)).
% 2.86/0.64 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setadjoinOr)).
% 2.86/0.64 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', powersetI)).
% 2.86/0.64 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', emptyinPowerset)).
% 2.86/0.64 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', emptyInPowerset)).
% 2.86/0.64 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', powersetE)).
% 2.86/0.64 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setunionI)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', setunionE)).
% 2.86/0.64 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', subPowSU)).
% 2.86/0.64 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', uniqinunit)).
% 2.86/0.64 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', notinsingleton)).
% 2.86/0.64 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', eqinunit)).
% 2.86/0.64 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', singletonsswitch)).
% 2.86/0.64 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', upairsetE)).
% 2.86/0.64 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', upairsetIL)).
% 2.86/0.64 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', upairsetIR)).
% 2.86/0.64 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', vacuousDall)).
% 2.86/0.64 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', quantDeMorgan1)).
% 2.86/0.64 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', quantDeMorgan2)).
% 2.86/0.64 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', quantDeMorgan3)).
% 2.86/0.64 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', quantDeMorgan4)).
% 2.86/0.64 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', prop2setI)).
% 2.86/0.64 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', prop2set2propI)).
% 2.86/0.64 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', notdexE)).
% 2.86/0.64 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', notdallE)).
% 2.86/0.64 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', inCongP)).
% 2.86/0.64 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', in__Cong)).
% 2.86/0.64 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', emptyset__Cong)).
% 2.86/0.64 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setadjoin__Cong)).
% 2.86/0.64 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', powerset__Cong)).
% 2.86/0.64 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setunion__Cong)).
% 2.86/0.64 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', omega__Cong)).
% 2.86/0.64 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', subsetI1)).
% 2.86/0.64 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', eqimpsubset2)).
% 2.86/0.64 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', eqimpsubset1)).
% 2.86/0.64 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', subsetI2)).
% 2.86/0.64 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', emptysetsubset)).
% 2.86/0.64 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', subsetE)).
% 2.86/0.64 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', subsetE2)).
% 2.86/0.64 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', notsubsetI)).
% 2.86/0.64 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', notequalI1)).
% 2.86/0.64 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', notequalI2)).
% 2.86/0.64 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', subsetRefl)).
% 2.86/0.64 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', subsetTrans)).
% 2.86/0.64 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setadjoinSub)).
% 2.86/0.64 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setadjoinSub2)).
% 2.86/0.64 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', subset2powerset)).
% 2.86/0.64 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setextsub)).
% 2.86/0.64 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', subsetemptysetimpeq)).
% 2.86/0.64 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', powersetI1)).
% 2.86/0.64 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', powersetE1)).
% 2.86/0.64 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', inPowerset)).
% 2.86/0.64 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', powersetsubset)).
% 2.86/0.64 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binunionIL)).
% 2.86/0.64 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', upairset2IR)).
% 2.86/0.64 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binunionIR)).
% 2.86/0.64 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binunionEcases)).
% 2.86/0.64 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binunionE)).
% 2.86/0.64 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binunionLsub)).
% 2.86/0.64 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binunionRsub)).
% 2.86/0.64 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binintersectI)).
% 2.86/0.64 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binintersectSubset5)).
% 2.86/0.64 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binintersectEL)).
% 2.86/0.64 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binintersectLsub)).
% 2.86/0.64 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binintersectSubset2)).
% 2.86/0.64 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binintersectSubset3)).
% 2.86/0.64 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binintersectER)).
% 2.86/0.64 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', disjointsetsI1)).
% 2.86/0.64 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binintersectRsub)).
% 2.86/0.64 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binintersectSubset4)).
% 2.86/0.64 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', binintersectSubset1)).
% 2.86/0.64 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', bs114d)).
% 2.86/0.64 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setminusI)).
% 2.86/0.64 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setminusEL)).
% 2.86/0.64 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setminusER)).
% 2.86/0.64 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setminusSubset2)).
% 2.86/0.64 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setminusERneg)).
% 2.86/0.64 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setminusELneg)).
% 2.86/0.64 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setminusILneg)).
% 2.86/0.64 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setminusIRneg)).
% 2.86/0.64 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setminusLsub)).
% 2.86/0.64 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setminusSubset1)).
% 2.86/0.64 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', symdiffE)).
% 2.86/0.64 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', symdiffI1)).
% 2.86/0.64 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', symdiffI2)).
% 2.86/0.64 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', symdiffIneg1)).
% 2.86/0.64 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', symdiffIneg2)).
% 2.86/0.64 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', secondinupair)).
% 2.86/0.64 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setukpairIL)).
% 2.86/0.64 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setukpairIR)).
% 2.86/0.64 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', kpairiskpair)).
% 2.86/0.64 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', kpairp)).
% 2.86/0.64 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', singletonsubset)).
% 2.86/0.64 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', singletoninpowerset)).
% 2.86/0.64 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', singletoninpowunion)).
% 2.86/0.64 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', upairset2E)).
% 2.86/0.64 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', upairsubunion)).
% 2.86/0.64 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', upairinpowunion)).
% 2.86/0.64 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', ubforcartprodlem1)).
% 2.86/0.64 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', ubforcartprodlem2)).
% 2.86/0.64 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', ubforcartprodlem3)).
% 2.86/0.64 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', cartprodpairin)).
% 2.86/0.64 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$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.h4qDX6O35I/E---3.1_2176157.p', cartprodmempair1)).
% 2.86/0.64 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', cartprodmempair)).
% 2.86/0.64 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setunionE2)).
% 2.86/0.64 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setunionsingleton1)).
% 2.86/0.64 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setunionsingleton2)).
% 2.86/0.64 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setunionsingleton)).
% 2.86/0.64 thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', singletonsuniq)).
% 2.86/0.64 thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$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.h4qDX6O35I/E---3.1_2176157.p', setukpairinjL1)).
% 2.86/0.64 thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', kfstpairEq)).
% 2.86/0.64 thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', cartprodfstin)).
% 2.86/0.64 thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setukpairinjL2)).
% 2.86/0.64 thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setukpairinjL)).
% 2.86/0.64 thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setukpairinjR11)).
% 2.86/0.64 thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setukpairinjR12)).
% 2.86/0.64 thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', setukpairinjR1)).
% 2.86/0.64 thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', upairequniteq)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', setukpairinjR2)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', setukpairinjR)).
% 2.86/0.64 thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', ksndpairEq)).
% 2.86/0.64 thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', kpairsurjEq)).
% 2.86/0.64 thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', cartprodsndin)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', cartprodpairmemEL)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', cartprodpairmemER)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', cartprodmempaircEq)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', cartprodfstpairEq)).
% 2.86/0.64 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.h4qDX6O35I/E---3.1_2176157.p', cartprodsndpairEq)).
% 2.86/0.64 thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', cartprodpairsurjEq)).
% 2.86/0.64 thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', ap2p)).
% 2.86/0.64 thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30)))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', funcGraphProp3)).
% 2.86/0.64 thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X30)=>((ap @ X4 @ X5 @ X30 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4qDX6O35I/E---3.1_2176157.p', funcGraphProp4)).
% 2.86/0.64 thf(c_0_213, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X686:$i]:((((in @ X686 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X686 @ emptyset))))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 2.86/0.64 thf(c_0_214, plain, ((singleton)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ Z0))&(((Z0)=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[singleton])).
% 2.86/0.64 thf(c_0_215, plain, ((func)=(^[Z0:$i, Z1:$i, Z2:$i]:(((((subset @ Z2 @ (cartprod @ Z0 @ Z1))))&(![X2:$i]:((((in @ X2 @ Z0))=>((?[X693:$i]:((((in @ X693 @ (dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))))&(((dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X693 @ emptyset)))))))))))))), inference(fof_simplification,[status(thm)],[func])).
% 2.86/0.64 thf(c_0_216, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X686:$i]:((((in @ X686 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X686 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_213, c_0_214])).
% 2.86/0.64 thf(c_0_217, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
% 2.86/0.64 thf(c_0_218, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 2.86/0.64 thf(c_0_219, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 2.86/0.64 thf(c_0_220, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 2.86/0.64 thf(c_0_221, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 2.86/0.64 thf(c_0_222, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 2.86/0.64 thf(c_0_223, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 2.86/0.64 thf(c_0_224, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 2.86/0.64 thf(c_0_225, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 2.86/0.64 thf(c_0_226, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 2.86/0.64 thf(c_0_227, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 2.86/0.64 thf(c_0_228, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 2.86/0.65 thf(c_0_229, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 2.86/0.65 thf(c_0_230, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 2.86/0.65 thf(c_0_231, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 2.86/0.65 thf(c_0_232, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 2.86/0.65 thf(c_0_233, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 2.86/0.65 thf(c_0_234, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
% 2.86/0.65 thf(c_0_235, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
% 2.86/0.65 thf(c_0_236, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
% 2.86/0.65 thf(c_0_237, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
% 2.86/0.65 thf(c_0_238, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
% 2.86/0.65 thf(c_0_239, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
% 2.86/0.65 thf(c_0_240, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X30)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
% 2.86/0.65 thf(c_0_241, plain, ((func)=(^[Z0:$i, Z1:$i, Z2:$i]:(((((subset @ Z2 @ (cartprod @ Z0 @ Z1))))&(![X2:$i]:((((in @ X2 @ Z0))=>((?[X693:$i]:((((in @ X693 @ (dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))))&(((dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X693 @ emptyset)))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_215, c_0_216]), c_0_217])).
% 2.86/0.65 thf(c_0_242, plain, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
% 2.86/0.65 thf(c_0_243, plain, ((lamProp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X31 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
% 2.86/0.65 thf(c_0_244, plain, ((lamp)<=>![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X33 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
% 2.86/0.65 thf(c_0_245, plain, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[ex1E2])).
% 2.86/0.65 thf(c_0_246, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>((apProp)=>((app)=>((infuncsetfunc)=>((ap2p)=>((funcinfuncset)=>((lamProp)=>((lamp)=>((lam2p)=>((brelnall1)=>((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X36:$i]:(((breln @ X4 @ X5 @ X36)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(in @ (kpair @ X2 @ X3) @ X36))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X36)=>(in @ (kpair @ X2 @ X3) @ X29))))))=>((X29)=(X36))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[eqbreln])).
% 2.86/0.65 thf(c_0_247, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X657:$i]:(((((X6 @ X2 @ X657)))&(![X658:$i]:(((((X6 @ X2 @ X658)))=>(((X657)=(X658)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_218, c_0_219])).
% 2.86/0.65 thf(c_0_248, plain, ((descrp)=(![X1:$i > $o]:((((?[X659:$i]:(((((X1 @ X659)))&(![X660:$i]:(((((X1 @ X660)))=>(((X659)=(X660))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_220, c_0_219])).
% 2.86/0.65 thf(c_0_249, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 2.86/0.65 thf(c_0_250, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 2.86/0.65 thf(c_0_251, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 2.86/0.65 thf(c_0_252, plain, ((exuE1)=(![X1:$i > $o]:((((?[X661:$i]:(((((X1 @ X661)))&(![X662:$i]:(((((X1 @ X662)))=>(((X661)=(X662))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_221, c_0_219])).
% 2.86/0.65 thf(c_0_253, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X663:$i]:(((((X1 @ X663)))&(![X664:$i]:(((((X1 @ X664)))=>(((X663)=(X664))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_222, c_0_219])).
% 2.86/0.65 thf(c_0_254, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 2.86/0.65 thf(c_0_255, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_223])).
% 2.86/0.65 thf(c_0_256, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_224, c_0_223])).
% 2.86/0.65 thf(c_0_257, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_223])).
% 2.86/0.65 thf(c_0_258, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 2.86/0.65 thf(c_0_259, plain, ((exuE2)=(![X1:$i > $o]:((((?[X665:$i]:(((((X1 @ X665)))&(![X666:$i]:(((((X1 @ X666)))=>(((X665)=(X666))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_225, c_0_219])).
% 2.86/0.65 thf(c_0_260, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_223])).
% 2.86/0.65 thf(c_0_261, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 2.86/0.65 thf(c_0_262, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X667:$i]:(((((X1 @ X667)))&(![X668:$i]:(((((X1 @ X668)))=>(((X667)=(X668)))))))))))))), inference(apply_def,[status(thm)],[c_0_226, c_0_219])).
% 2.86/0.65 thf(c_0_263, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X669:$i]:(((((X1 @ X669)))&(![X670:$i]:(((((X1 @ X670)))=>(((X669)=(X670)))))))))))))))), inference(apply_def,[status(thm)],[c_0_227, c_0_219])).
% 2.86/0.65 thf(c_0_264, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X671:$i]:(((((X1 @ X671)))&(![X672:$i]:(((((X1 @ X672)))=>(((X671)=(X672)))))))))))))), inference(apply_def,[status(thm)],[c_0_228, c_0_219])).
% 2.86/0.65 thf(c_0_265, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X673:$i]:(((((X1 @ X673)))&(![X674:$i]:(((((X1 @ X674)))=>(((X673)=(X674))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_229, c_0_219])).
% 2.86/0.65 thf(c_0_266, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X675:$i]:(((((X1 @ X675)))&(![X676:$i]:(((((X1 @ X676)))=>(((X675)=(X676))))))))))<=>((?[X677:$i]:(((((X17 @ X677)))&(![X678:$i]:(((((X17 @ X678)))=>(((X677)=(X678)))))))))))))))), inference(apply_def,[status(thm)],[c_0_230, c_0_219])).
% 2.86/0.65 thf(c_0_267, plain, ((exuEu)=(![X1:$i > $o]:((((?[X679:$i]:(((((X1 @ X679)))&(![X680:$i]:(((((X1 @ X680)))=>(((X679)=(X680))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_231, c_0_219])).
% 2.86/0.65 thf(c_0_268, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X681:$i]:(((((X1 @ X681)))&(![X682:$i]:(((((X1 @ X682)))=>(((X681)=(X682))))))))))=>((((?[X683:$i]:(((((X17 @ X683)))&(![X684:$i]:(((((X17 @ X684)))=>(((X683)=(X684))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_232, c_0_219])).
% 2.86/0.65 thf(c_0_269, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 2.86/0.65 thf(c_0_270, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 2.86/0.65 thf(c_0_271, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 2.86/0.65 thf(c_0_272, 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)))))=>((?[X685:$i]:((((in @ X685 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(setadjoin @ X685 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_233, c_0_214])).
% 2.86/0.65 thf(c_0_273, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((?[X687:$i]:((((in @ X687 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X687 @ emptyset)))))))=>(?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2))))))))), inference(apply_def,[status(thm)],[c_0_234, c_0_216])).
% 2.86/0.65 thf(c_0_274, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>(((![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X3))=>(((X3)=(X2))))))))=>((?[X688:$i]:((((in @ X688 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X688 @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[c_0_235, c_0_216])).
% 2.86/0.65 thf(c_0_275, 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)))))=>((?[X689:$i]:((((in @ X689 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X689 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_236, c_0_216])).
% 2.86/0.65 thf(c_0_276, plain, ((kfstsingleton)=(![X18:$i]:((((iskpair @ X18))=>((?[X690:$i]:((((in @ X690 @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))))&(((dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X690 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_237, c_0_214])).
% 2.86/0.65 thf(c_0_277, axiom, ((theprop)=(![X21:$i]:((((?[X691:$i]:((((in @ X691 @ X21))&(((X21)=(setadjoin @ X691 @ emptyset)))))))=>((in @ (setunion @ X21) @ X21)))))), inference(apply_def,[status(thm)],[theprop, c_0_214])).
% 2.86/0.65 thf(c_0_278, plain, ((ksndsingleton)=(![X18:$i]:((((iskpair @ X18))=>((?[X692:$i]:((((in @ X692 @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))))&(((dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))=(setadjoin @ X692 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_238, c_0_214])).
% 2.86/0.65 thf(c_0_279, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
% 2.86/0.65 thf(c_0_280, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
% 2.86/0.65 thf(c_0_281, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_239, c_0_217])).
% 2.86/0.65 thf(c_0_282, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
% 2.86/0.65 thf(c_0_283, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
% 2.86/0.65 thf(c_0_284, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
% 2.86/0.65 thf(c_0_285, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
% 2.86/0.65 thf(c_0_286, plain, ((funcImageSingleton)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X694:$i]:((((in @ X694 @ X4))=>((?[X695:$i]:((((in @ X695 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X694 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X694 @ Z0) @ X30)))))=(setadjoin @ X695 @ emptyset)))))))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>((?[X696:$i]:((((in @ X696 @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))=(setadjoin @ X696 @ emptyset)))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_240, c_0_214]), c_0_241])).
% 2.86/0.65 thf(c_0_287, plain, ((apProp)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X697:$i]:((((in @ X697 @ X4))=>((?[X698:$i]:((((in @ X698 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X697 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X697 @ Z0) @ X30)))))=(setadjoin @ X698 @ emptyset)))))))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>((in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))) @ X5))))))))), inference(apply_def,[status(thm)],[c_0_242, c_0_241])).
% 2.86/0.65 thf(c_0_288, axiom, ((app)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X699:$i]:((((in @ X699 @ X4))=>((?[X700:$i]:((((in @ X700 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X699 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X699 @ Z0) @ X30)))))=(setadjoin @ X700 @ emptyset)))))))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>((in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5))))))))), inference(apply_def,[status(thm)],[app, c_0_241])).
% 2.86/0.65 thf(c_0_289, axiom, ((infuncsetfunc)=(![X4:$i, X5:$i, X30:$i]:((((in @ X30 @ (funcSet @ X4 @ X5)))=>((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X701:$i]:((((in @ X701 @ X4))=>((?[X702:$i]:((((in @ X702 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X701 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X701 @ Z0) @ X30)))))=(setadjoin @ X702 @ emptyset))))))))))))))))), inference(apply_def,[status(thm)],[infuncsetfunc, c_0_241])).
% 2.86/0.65 thf(c_0_290, axiom, ((funcinfuncset)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X703:$i]:((((in @ X703 @ X4))=>((?[X704:$i]:((((in @ X704 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X703 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X703 @ Z0) @ X30)))))=(setadjoin @ X704 @ emptyset)))))))))))))=>((in @ X30 @ (funcSet @ X4 @ X5))))))), inference(apply_def,[status(thm)],[funcinfuncset, c_0_241])).
% 2.86/0.65 thf(c_0_291, plain, ((lamProp)=(![X4:$i, X5:$i, X31:$i > $i]:(((![X2:$i]:((((in @ X2 @ X4))=>((in @ (X31 @ X2) @ X5)))))=>((((((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X31 @ Z0)=(Z1))))) @ (cartprod @ X4 @ X5))))&(![X705:$i]:((((in @ X705 @ X4))=>((?[X706:$i]:((((in @ X706 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X705 @ Z0) @ (dpsetconstr @ X4 @ X5 @ (^[Z1:$i, Z2:$i]:(((X31 @ Z1)=(Z2))))))))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X705 @ Z0) @ (dpsetconstr @ X4 @ X5 @ (^[Z1:$i, Z2:$i]:(((X31 @ Z1)=(Z2))))))))))=(setadjoin @ X706 @ emptyset))))))))))))))))), inference(apply_def,[status(thm)],[c_0_243, c_0_241])).
% 2.86/0.65 thf(c_0_292, plain, ((lamp)=(![X4:$i, X5:$i, X33:$i > $i]:(((![X2:$i]:((((in @ X2 @ X4))=>((in @ (X33 @ X2) @ X5)))))=>((((((subset @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X33 @ Z0))) @ (cartprod @ X4 @ X5))))&(![X707:$i]:((((in @ X707 @ X4))=>((?[X708:$i]:((((in @ X708 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X707 @ Z0) @ (lam @ X4 @ X5 @ (^[Z1:$i]:(X33 @ Z1))))))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X707 @ Z0) @ (lam @ X4 @ X5 @ (^[Z1:$i]:(X33 @ Z1))))))))=(setadjoin @ X708 @ emptyset))))))))))))))))), inference(apply_def,[status(thm)],[c_0_244, c_0_241])).
% 2.86/0.65 thf(c_0_293, plain, ((lam2p)<=>![X4:$i, X5:$i, X34:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X34 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X34 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
% 2.86/0.65 thf(c_0_294, axiom, ((brelnall1)=(![X4:$i, X5:$i, X29:$i]:(((((subset @ X29 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X29))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X29))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_217])).
% 2.86/0.65 thf(c_0_295, axiom, ((brelnall2)=(![X4:$i, X5:$i, X29:$i]:(((((subset @ X29 @ (cartprod @ X4 @ X5))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X29))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X29))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_217])).
% 2.86/0.65 thf(c_0_296, plain, ((ex1E2)=(![X4:$i, X1:$i > $o]:((((?[X709:$i]:((((in @ X709 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:(((X1 @ Z0)))))=(setadjoin @ X709 @ emptyset)))))))=>(![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))))))))))), inference(apply_def,[status(thm)],[c_0_245, c_0_216])).
% 2.86/0.65 thf(c_0_297, axiom, ((funcGraphProp1)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X710:$i]:((((in @ X710 @ X4))=>((?[X711:$i]:((((in @ X711 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X710 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X710 @ Z0) @ X30)))))=(setadjoin @ X711 @ emptyset)))))))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>((in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30))))))))), inference(apply_def,[status(thm)],[funcGraphProp1, c_0_241])).
% 2.86/0.65 thf(c_0_298, axiom, ((funcGraphProp2)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X712:$i]:((((in @ X712 @ X4))=>((?[X713:$i]:((((in @ X713 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X712 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X712 @ Z0) @ X30)))))=(setadjoin @ X713 @ emptyset)))))))))))))=>(![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X30))=>(((ap @ X4 @ X5 @ X30 @ X2)=(X3))))))))))))))), inference(apply_def,[status(thm)],[funcGraphProp2, c_0_241])).
% 2.86/0.65 thf(c_0_299, axiom, ((funcextLem)=(![X4:$i, X5:$i, X30:$i]:((((((((subset @ X30 @ (cartprod @ X4 @ X5))))&(![X714:$i]:((((in @ X714 @ X4))=>((?[X715:$i]:((((in @ X715 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X714 @ Z0) @ X30)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X714 @ Z0) @ X30)))))=(setadjoin @ X715 @ emptyset)))))))))))))=>(![X35:$i]:((((((((subset @ X35 @ (cartprod @ X4 @ X5))))&(![X716:$i]:((((in @ X716 @ X4))=>((?[X717:$i]:((((in @ X717 @ (dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X716 @ Z0) @ X35)))))))&(((dsetconstr @ X5 @ (^[Z0:$i]:(((in @ (kpair @ X716 @ Z0) @ X35)))))=(setadjoin @ X717 @ emptyset)))))))))))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(((ap @ X4 @ X5 @ X30 @ X2)=(ap @ X4 @ X5 @ X35 @ X2))))))=>(![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X35))=>((in @ (kpair @ X2 @ X3) @ X30))))))))))))))))))), inference(apply_def,[status(thm)],[funcextLem, c_0_241])).
% 2.86/0.65 thf(c_0_300, axiom, ((subbreln)=(![X4:$i, X5:$i, X29:$i]:(((((subset @ X29 @ (cartprod @ X4 @ X5))))=>(![X36:$i]:(((((subset @ X36 @ (cartprod @ X4 @ X5))))=>(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((((in @ (kpair @ X2 @ X3) @ X29))=>((in @ (kpair @ X2 @ X3) @ X36))))))))))=>((subset @ X29 @ X36))))))))))), inference(apply_def,[status(thm)],[subbreln, c_0_217])).
% 2.86/0.65 thf(c_0_301, plain, ((epred1_0)<=>![X747:$i]:(?[X748:$i]:((((![X749:$i]:(((in @ X749 @ X748)=>![X750:$i]:(((in @ X750 @ X749)=>(in @ X750 @ X747)))))&![X751:$i, X752:$i]:((((in @ X751 @ X747)&(in @ X752 @ X747))=>(![X753:$i]:(((in @ X753 @ X748)=>((in @ X751 @ X753)<=>(in @ X752 @ X753))))=>((X751)=(X752))))))&![X754:$i, X755:$i]:((((in @ X754 @ X748)&(in @ X755 @ X748))=>(![X756:$i]:(((in @ X756 @ X754)=>(in @ X756 @ X755)))|![X757:$i]:(((in @ X757 @ X755)=>(in @ X757 @ X754)))))))&![X758:$i]:(((![X759:$i]:(((in @ X759 @ X758)=>(in @ X759 @ X747)))&?[X760:$i]:((in @ X760 @ X758)))=>?[X761:$i, X762:$i]:(((((in @ X761 @ X748)&(in @ X762 @ X758))&~(?[X763:$i]:(((in @ X763 @ X761)&(in @ X763 @ X758)))))&![X764:$i]:(((in @ X764 @ X748)=>(![X765:$i]:(((in @ X765 @ X764)=>(in @ X765 @ X761)))|(in @ X762 @ X764)))))))))))), introduced(definition)).
% 2.86/0.65 thf(c_0_302, negated_conjecture, ~((![X718:$i, X719:$i]:((![X720:$i]:(((in @ X720 @ X718)<=>(in @ X720 @ X719)))=>((X718)=(X719))))=>(![X721:$i]:(~(in @ X721 @ emptyset))=>(![X722:$i, X723:$i, X724:$i]:(((in @ X724 @ (setadjoin @ X722 @ X723))<=>(((X724)=(X722))|(in @ X724 @ X723))))=>(![X725:$i, X726:$i]:(((in @ X726 @ (powerset @ X725))<=>![X727:$i]:(((in @ X727 @ X726)=>(in @ X727 @ X725)))))=>(![X728:$i, X729:$i]:(((in @ X729 @ (setunion @ X728))<=>?[X730:$i]:(((in @ X729 @ X730)&(in @ X730 @ X728)))))=>((in @ emptyset @ omega)=>(![X731:$i]:(((in @ X731 @ omega)=>(in @ (setadjoin @ X731 @ X731) @ omega)))=>(![X732:$i]:((((in @ emptyset @ X732)&![X733:$i]:((((in @ X733 @ omega)&(in @ X733 @ X732))=>(in @ (setadjoin @ X733 @ X733) @ X732))))=>![X734:$i]:(((in @ X734 @ omega)=>(in @ X734 @ X732)))))=>(![X735:$i > $i > $o, X736:$i]:((![X737:$i]:(((in @ X737 @ X736)=>?[X738:$i]:(((X735 @ X737 @ X738)&![X739:$i]:(((X735 @ X737 @ X739)=>((X738)=(X739))))))))=>?[X740:$i]:(![X741:$i]:(((in @ X741 @ X740)<=>?[X742:$i]:(((in @ X742 @ X736)&(X735 @ X742 @ X741))))))))=>(![X743:$i]:((?[X744:$i]:((in @ X744 @ X743))=>?[X745:$i]:(((in @ X745 @ X743)&~(?[X746:$i]:(((in @ X746 @ X745)&(in @ X746 @ X743))))))))=>((epred1_0)=>(![X766:$i > $o]:((?[X767:$i]:(((X766 @ X767)&![X768:$i]:(((X766 @ X768)=>((X767)=(X768))))))=>(X766 @ (descr @ (^[Z0:$i]:(X766 @ Z0))))))=>(![X769:$i, X770:$i > $o, X771:$i]:(((in @ X771 @ X769)=>((X770 @ X771)=>(in @ X771 @ (dsetconstr @ X769 @ X770)))))=>(![X772:$i, X773:$i > $o, X774:$i]:(((in @ X774 @ (dsetconstr @ X772 @ X773))=>(in @ X774 @ X772)))=>(![X775:$i, X776:$i > $o, X777:$i]:(((in @ X777 @ (dsetconstr @ X775 @ X776))=>(X776 @ X777)))=>(![X778:$i > $o]:((?[X779:$i]:(((X778 @ X779)&![X780:$i]:(((X778 @ X780)=>((X779)=(X780))))))=>?[X781:$i]:(((X778 @ X781)&![X782:$i]:(((X778 @ X782)=>((X781)=(X782))))))))=>(![X783:$o, X784:$i]:(((in @ X784 @ (prop2set @ ((X783))))=>(X783)))=>(![X785:$i]:(((in @ X785 @ emptyset)=>![X786:$o]:((X786))))=>(![X787:$i]:(((in @ X787 @ emptyset)=>~($true)))=>(![X788:$i]:(~(in @ X788 @ emptyset))=>(![X789:$i > $o]:((?[X790:$i]:(((X789 @ X790)&![X791:$i]:(((X789 @ X791)=>((X790)=(X791))))))=>?[X792:$i]:((X789 @ X792))))=>(![X793:$i, X794:$i]:((![X795:$i]:(((in @ X795 @ X793)=>(in @ X795 @ X794)))=>(![X796:$i]:(((in @ X796 @ X794)=>(in @ X796 @ X793)))=>((X793)=(X794)))))=>(![X797:$i]:((![X798:$i]:(~(in @ X798 @ X797))=>((X797)=(emptyset))))=>(![X799:$i]:((![X800:$i]:(~(in @ X800 @ X799))=>((X799)=(emptyset))))=>(![X801:$i, X802:$i > $o, X803:$i]:(((in @ X803 @ X801)=>((in @ X803 @ (dsetconstr @ X801 @ X802))<=>(X802 @ X803))))=>(![X804:$i]:((((X804)!=(emptyset))=>?[X805:$i]:((in @ X805 @ X804))))=>(![X806:$i, X807:$i > $o, X808:$i]:(((in @ X808 @ X806)=>((X807 @ X808)=>((dsetconstr @ X806 @ X807)!=(emptyset)))))=>(![X809:$i]:((?[X810:$i]:((in @ X810 @ X809))=>((X809)!=(emptyset))))=>(![X811:$i, X812:$i]:((in @ X811 @ (setadjoin @ X811 @ X812)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X813:$i, X814:$i, X815:$i]:(((in @ X815 @ X814)=>(in @ X815 @ (setadjoin @ X813 @ X814))))=>(![X816:$i, X817:$i, X818:$i]:(((in @ X818 @ (setadjoin @ X816 @ X817))=>![X819:$o]:(((((X818)=(X816))=>(X819))=>(((in @ X818 @ X817)=>(X819))=>(X819))))))=>(![X820:$i, X821:$i, X822:$i]:(((in @ X822 @ (setadjoin @ X820 @ X821))=>(((X822)=(X820))|(in @ X822 @ X821))))=>(![X823:$i]:(((dsetconstr @ X823 @ (^[Z0:$i]:($true)))=(X823)))=>(![X824:$i, X825:$i]:((![X826:$i]:(((in @ X826 @ X825)=>(in @ X826 @ X824)))=>(in @ X825 @ (powerset @ X824))))=>(![X827:$i]:((in @ emptyset @ (powerset @ X827)))=>(![X828:$i]:((in @ emptyset @ (powerset @ X828)))=>(![X829:$i, X830:$i, X831:$i]:(((in @ X830 @ (powerset @ X829))=>((in @ X831 @ X830)=>(in @ X831 @ X829))))=>(![X832:$i, X833:$i, X834:$i]:(((in @ X833 @ X834)=>((in @ X834 @ X832)=>(in @ X833 @ (setunion @ X832)))))=>(![X835:$i, X836:$i]:(((in @ X836 @ (setunion @ X835))=>![X837:$o]:((![X838:$i]:(((in @ X836 @ X838)=>((in @ X838 @ X835)=>(X837))))=>(X837)))))=>(![X839:$i, X840:$i]:(((in @ X840 @ X839)=>(in @ X840 @ (powerset @ (setunion @ X839)))))=>(![X841:$i > $o]:((?[X842:$i]:(((X841 @ X842)&![X843:$i]:(((X841 @ X843)=>((X842)=(X843))))))=>?[X844:$i]:(![X845:$i]:(((X841 @ X845)<=>((X845)=(X844)))))))=>(![X846:$i]:((((X846)!=(emptyset))=>?[X847:$i]:(((in @ X847 @ X846)&$true))))=>(![X848:$i, X849:$i]:(((in @ X848 @ (setadjoin @ X849 @ emptyset))=>((X848)=(X849))))=>(![X850:$i, X851:$i]:((((X850)!=(X851))=>~(in @ X851 @ (setadjoin @ X850 @ emptyset))))=>(![X852:$i, X853:$i]:((((X852)=(X853))=>(in @ X852 @ (setadjoin @ X853 @ emptyset))))=>(![X854:$i, X855:$i]:(((in @ X854 @ (setadjoin @ X855 @ emptyset))=>(in @ X855 @ (setadjoin @ X854 @ emptyset))))=>(![X856:$i, X857:$i, X858:$i]:(((in @ X858 @ (setadjoin @ X856 @ (setadjoin @ X857 @ emptyset)))=>(((X858)=(X856))|((X858)=(X857)))))=>(![X859:$i, X860:$i]:((in @ X859 @ (setadjoin @ X859 @ (setadjoin @ X860 @ emptyset))))=>(![X861:$i, X862:$i]:((in @ X862 @ (setadjoin @ X861 @ (setadjoin @ X862 @ emptyset))))=>(![X863:$i, X864:$i > $o]:((?[X865:$i]:(((in @ X865 @ X863)&(X864 @ X865)))=>(((dsetconstr @ X863 @ X864)=(emptyset))=>~($true))))=>(![X866:$i > $o, X867:$i]:(((in @ X867 @ emptyset)=>(X866 @ X867)))=>(![X868:$i, X869:$i > $o]:((~(![X870:$i]:(((in @ X870 @ X868)=>(X869 @ X870))))=>?[X871:$i]:(((in @ X871 @ X868)&~((X869 @ X871))))))=>(![X872:$i, X873:$i > $o]:((![X874:$i]:(((in @ X874 @ X872)=>~((X873 @ X874))))=>~(?[X875:$i]:(((in @ X875 @ X872)&(X873 @ X875))))))=>(![X876:$i, X877:$i > $o]:((~(?[X878:$i]:(((in @ X878 @ X876)&(X877 @ X878))))=>![X879:$i]:(((in @ X879 @ X876)=>~((X877 @ X879))))))=>(![X880:$i, X881:$i > $o]:((?[X882:$i]:(((in @ X882 @ X880)&~((X881 @ X882))))=>~(![X883:$i]:(((in @ X883 @ X880)=>(X881 @ X883))))))=>(![X884:$o]:(((X884)=>(in @ emptyset @ (prop2set @ ((X884))))))=>(![X885:$o]:(((X885)=>(set2prop @ (prop2set @ ((X885))))))=>(![X886:$i, X887:$i > $o]:((~(?[X888:$i]:(((in @ X888 @ X886)&(X887 @ X888))))=>![X889:$i]:(((in @ X889 @ X886)=>~((X887 @ X889))))))=>(![X890:$i, X891:$i > $o]:((~(![X892:$i]:(((in @ X892 @ X890)=>(X891 @ X892))))=>?[X893:$i]:(((in @ X893 @ X890)&~((X891 @ X893))))))=>(![X894:$i > $o]:((?[X895:$i]:(((X894 @ X895)&![X896:$i]:(((X894 @ X896)=>((X895)=(X896))))))=>?[X897:$i]:(((X894 @ X897)&![X898:$i]:(((X894 @ X898)=>((X897)=(X898))))))))=>(![X899:$i > $o]:((?[X900:$i]:((X899 @ X900))=>(![X901:$i, X902:$i]:(((X899 @ X901)=>((X899 @ X902)=>((X901)=(X902)))))=>?[X903:$i]:(((X899 @ X903)&![X904:$i]:(((X899 @ X904)=>((X903)=(X904)))))))))=>(![X905:$i > $o]:((?[X906:$i]:(![X907:$i]:(((X905 @ X907)<=>((X907)=(X906)))))=>?[X908:$i]:(((X905 @ X908)&![X909:$i]:(((X905 @ X909)=>((X908)=(X909))))))))=>(![X910:$i, X911:$i]:((((X910)=(X911))=>![X912:$i, X913:$i]:((((X912)=(X913))=>((in @ X912 @ X910)=>(in @ X913 @ X911))))))=>(![X914:$i, X915:$i]:((((X914)=(X915))=>![X916:$i, X917:$i]:((((X916)=(X917))=>((in @ X916 @ X914)<=>(in @ X917 @ X915))))))=>(![X918:$i > $o]:((?[X919:$i]:(((X918 @ X919)&![X920:$i]:(((X918 @ X920)=>((X919)=(X920))))))=>![X921:$i, X922:$i]:(((X918 @ X921)=>((X918 @ X922)=>((X921)=(X922)))))))=>(![X923:$i > $o, X924:$i > $o]:((![X925:$i, X926:$i]:((((X925)=(X926))=>((X923 @ X925)<=>(X924 @ X926))))=>(?[X927:$i]:(((X923 @ X927)&![X928:$i]:(((X923 @ X928)=>((X927)=(X928))))))<=>?[X929:$i]:(((X924 @ X929)&![X930:$i]:(((X924 @ X930)=>((X929)=(X930)))))))))=>(((emptyset)=(emptyset))=>(![X931:$i, X932:$i]:((((X931)=(X932))=>![X933:$i, X934:$i]:((((X933)=(X934))=>((setadjoin @ X931 @ X933)=(setadjoin @ X932 @ X934))))))=>(![X935:$i, X936:$i]:((((X935)=(X936))=>((powerset @ X935)=(powerset @ X936))))=>(![X937:$i, X938:$i]:((((X937)=(X938))=>((setunion @ X937)=(setunion @ X938))))=>(((omega)=(omega))=>(![X939:$i > $o]:((?[X940:$i]:(((X939 @ X940)&![X941:$i]:(((X939 @ X941)=>((X940)=(X941))))))=>![X942:$i, X943:$i]:(((X939 @ X942)=>((X939 @ X943)=>((X942)=(X943)))))))=>(![X944:$i > $o, X945:$i > $o]:((![X946:$i, X947:$i]:((((X946)=(X947))=>((X944 @ X946)<=>(X945 @ X947))))=>(?[X948:$i]:(((X944 @ X948)&![X949:$i]:(((X944 @ X949)=>((X948)=(X949))))))=>(?[X950:$i]:(((X945 @ X950)&![X951:$i]:(((X945 @ X951)=>((X950)=(X951))))))=>((descr @ X944)=(descr @ X945))))))=>(![X952:$i, X953:$i]:((((X952)=(X953))=>![X954:$i > $o, X955:$i > $o]:((![X956:$i]:(((in @ X956 @ X952)=>![X957:$i]:(((in @ X957 @ X953)=>(((X956)=(X957))=>((X954 @ X956)<=>(X955 @ X957)))))))=>((dsetconstr @ X952 @ X954)=(dsetconstr @ X953 @ X955))))))=>(![X958:$i, X959:$i]:((![X960:$i]:(((in @ X960 @ X958)=>(in @ X960 @ X959)))=>(subset @ X958 @ X959)))=>(![X961:$i, X962:$i]:((((X961)=(X962))=>(subset @ X962 @ X961)))=>(![X963:$i, X964:$i]:((((X963)=(X964))=>(subset @ X963 @ X964)))=>(![X965:$i, X966:$i]:((![X967:$i]:(((in @ X967 @ X965)=>(in @ X967 @ X966)))=>(subset @ X965 @ X966)))=>(![X968:$i]:((subset @ emptyset @ X968))=>(![X969:$i, X970:$i, X971:$i]:(((subset @ X969 @ X970)=>((in @ X971 @ X969)=>(in @ X971 @ X970))))=>(![X972:$i, X973:$i, X974:$i]:(((subset @ X972 @ X973)=>(~(in @ X974 @ X973)=>~(in @ X974 @ X972))))=>(![X975:$i, X976:$i, X977:$i]:(((in @ X977 @ X975)=>(~(in @ X977 @ X976)=>~(subset @ X975 @ X976))))=>(![X978:$i, X979:$i]:((~(subset @ X978 @ X979)=>((X978)!=(X979))))=>(![X980:$i, X981:$i, X982:$i]:(((in @ X982 @ X980)=>(~(in @ X982 @ X981)=>((X980)!=(X981)))))=>(![X983:$i]:((subset @ X983 @ X983))=>(![X984:$i, X985:$i, X986:$i]:(((subset @ X984 @ X985)=>((subset @ X985 @ X986)=>(subset @ X984 @ X986))))=>(![X987:$i, X988:$i]:((subset @ X988 @ (setadjoin @ X987 @ X988)))=>(![X989:$i, X990:$i, X991:$i]:(((subset @ X989 @ X991)=>(subset @ X989 @ (setadjoin @ X990 @ X991))))=>(![X992:$i, X993:$i]:(((subset @ X992 @ X993)=>(in @ X992 @ (powerset @ X993))))=>(![X994:$i, X995:$i]:(((subset @ X994 @ X995)=>((subset @ X995 @ X994)=>((X994)=(X995)))))=>(![X996:$i]:(((subset @ X996 @ emptyset)=>((X996)=(emptyset))))=>(![X997:$i, X998:$i]:(((subset @ X998 @ X997)=>(in @ X998 @ (powerset @ X997))))=>(![X999:$i, X1000:$i]:(((in @ X1000 @ (powerset @ X999))=>(subset @ X1000 @ X999)))=>(![X1001:$i]:((in @ X1001 @ (powerset @ X1001)))=>(![X1002:$i, X1003:$i]:(((subset @ X1002 @ X1003)=>(subset @ (powerset @ X1002) @ (powerset @ X1003))))=>(![X1004:$i, X1005:$i > $o]:((in @ (dsetconstr @ X1004 @ X1005) @ (powerset @ X1004)))=>(![X1006:$i, X1007:$i > $o]:((subset @ (dsetconstr @ X1006 @ X1007) @ X1006))=>(![X1008:$i, X1009:$i, X1010:$i]:(((in @ X1010 @ X1008)=>(in @ X1010 @ (binunion @ X1008 @ X1009))))=>(![X1011:$i, X1012:$i]:((in @ X1012 @ (setadjoin @ X1011 @ (setadjoin @ X1012 @ emptyset))))=>(![X1013:$i, X1014:$i, X1015:$i]:(((in @ X1015 @ X1014)=>(in @ X1015 @ (binunion @ X1013 @ X1014))))=>(![X1016:$i, X1017:$i, X1018:$i, X1019:$o]:(((in @ X1018 @ (binunion @ X1016 @ X1017))=>(((in @ X1018 @ X1016)=>(X1019))=>(((in @ X1018 @ X1017)=>(X1019))=>(X1019)))))=>(![X1020:$i, X1021:$i, X1022:$i]:(((in @ X1022 @ (binunion @ X1020 @ X1021))=>((in @ 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@ X1340)=>(X1341 @ (kpair @ X1342 @ X1343)))))))=>![X1344:$i]:(((in @ X1344 @ X1340)=>(X1341 @ X1344)))))))=>(![X1345:$i, X1346:$i > $o]:((?[X1347:$i]:(((in @ X1347 @ (dsetconstr @ X1345 @ X1346))&((dsetconstr @ X1345 @ X1346)=(setadjoin @ X1347 @ emptyset))))=>![X1348:$i]:(((in @ X1348 @ X1345)=>![X1349:$i]:(((in @ X1349 @ X1345)=>((X1346 @ X1348)=>((X1346 @ X1349)=>((X1348)=(X1349))))))))))=>(![X1350:$i, X1351:$i, X1352:$i]:((((subset @ X1352 @ (cartprod @ X1350 @ X1351))&![X1353:$i]:(((in @ X1353 @ X1350)=>?[X1354:$i]:(((in @ X1354 @ (dsetconstr @ X1351 @ (^[Z0:$i]:((in @ (kpair @ X1353 @ Z0) @ X1352)))))&((dsetconstr @ X1351 @ (^[Z0:$i]:((in @ (kpair @ X1353 @ Z0) @ X1352))))=(setadjoin @ X1354 @ emptyset)))))))=>![X1355:$i]:(((in @ X1355 @ X1350)=>(in @ (kpair @ X1355 @ (ap @ X1350 @ X1351 @ X1352 @ X1355)) @ X1352)))))=>(![X1356:$i, X1357:$i, X1358:$i]:(((in @ X1358 @ (funcSet @ X1356 @ X1357))=>![X1359:$i]:(((in @ X1359 @ X1356)=>(in @ (kpair @ X1359 @ (ap @ X1356 @ X1357 @ X1358 @ X1359)) @ X1358)))))=>(![X1360:$i, X1361:$i, X1362:$i]:((((subset @ X1362 @ (cartprod @ X1360 @ X1361))&![X1363:$i]:(((in @ X1363 @ X1360)=>?[X1364:$i]:(((in @ X1364 @ (dsetconstr @ X1361 @ (^[Z0:$i]:((in @ (kpair @ X1363 @ Z0) @ X1362)))))&((dsetconstr @ X1361 @ (^[Z0:$i]:((in @ (kpair @ X1363 @ Z0) @ X1362))))=(setadjoin @ X1364 @ emptyset)))))))=>![X1365:$i]:(((in @ X1365 @ X1360)=>![X1366:$i]:(((in @ X1366 @ X1361)=>((in @ (kpair @ X1365 @ X1366) @ X1362)=>((ap @ X1360 @ X1361 @ X1362 @ X1365)=(X1366)))))))))=>(![X1367:$i, X1368:$i, X1369:$i]:((((subset @ X1369 @ (cartprod @ X1367 @ X1368))&![X1370:$i]:(((in @ X1370 @ X1367)=>?[X1371:$i]:(((in @ X1371 @ (dsetconstr @ X1368 @ (^[Z0:$i]:((in @ (kpair @ X1370 @ Z0) @ X1369)))))&((dsetconstr @ X1368 @ (^[Z0:$i]:((in @ (kpair @ X1370 @ Z0) @ X1369))))=(setadjoin @ X1371 @ emptyset)))))))=>![X1372:$i]:((((subset @ X1372 @ (cartprod @ X1367 @ X1368))&![X1373:$i]:(((in @ X1373 @ X1367)=>?[X1374:$i]:(((in @ X1374 @ (dsetconstr @ X1368 @ (^[Z0:$i]:((in @ (kpair @ X1373 @ Z0) @ X1372)))))&((dsetconstr @ X1368 @ (^[Z0:$i]:((in @ (kpair @ X1373 @ Z0) @ X1372))))=(setadjoin @ X1374 @ emptyset)))))))=>(![X1375:$i]:(((in @ X1375 @ X1367)=>((ap @ X1367 @ X1368 @ X1369 @ X1375)=(ap @ X1367 @ X1368 @ X1372 @ X1375))))=>![X1376:$i]:(((in @ X1376 @ X1367)=>![X1377:$i]:(((in @ X1377 @ X1368)=>((in @ (kpair @ X1376 @ X1377) @ X1372)=>(in @ (kpair @ X1376 @ X1377) @ X1369)))))))))))=>(![X1378:$i, X1379:$i, X1380:$i]:(((in @ X1380 @ (funcSet @ X1378 @ X1379))=>![X1381:$i]:(((in @ X1381 @ X1378)=>![X1382:$i]:(((in @ X1382 @ X1379)=>((in @ (kpair @ X1381 @ X1382) @ X1380)=>((ap @ X1378 @ X1379 @ X1380 @ X1381)=(X1382)))))))))=>(![X1383:$i, X1384:$i, X1385:$i]:(((subset @ X1385 @ (cartprod @ X1383 @ X1384))=>![X1386:$i]:(((subset @ X1386 @ (cartprod @ X1383 @ X1384))=>(![X1387:$i]:(((in @ X1387 @ X1383)=>![X1388:$i]:(((in @ X1388 @ X1384)=>((in @ (kpair @ X1387 @ X1388) @ X1385)=>(in @ (kpair @ X1387 @ X1388) @ X1386))))))=>(subset @ X1385 @ X1386))))))=>![X4:$i, X5:$i, X29:$i]:(((subset @ X29 @ (cartprod @ X4 @ X5))=>![X36:$i]:(((subset @ X36 @ (cartprod @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(in @ (kpair @ X2 @ X3) @ X36))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X36)=>(in @ (kpair @ X2 @ X3) @ X29))))))=>((X29)=(X36))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_246, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_247]), foundationAx]), wellorderingAx]), c_0_248]), c_0_249]), c_0_250]), c_0_251]), c_0_252]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_253]), setext]), emptyI]), noeltsimpempty]), c_0_254]), c_0_255]), c_0_256]), c_0_257]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_258]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_259]), c_0_260]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_261]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_262]), c_0_263]), c_0_264]), inCongP]), in__Cong]), c_0_265]), c_0_266]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_267]), c_0_268]), c_0_269]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_270]), c_0_271]), 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_272]), c_0_273]), c_0_274]), c_0_275]), singletonsuniq]), setukpairinjL1]), c_0_276]), c_0_277]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_278]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_217]), c_0_279]), c_0_280]), c_0_281]), c_0_282]), c_0_283]), c_0_284]), c_0_285]), c_0_286]), c_0_287]), c_0_288]), c_0_289]), ap2p]), c_0_290]), c_0_291]), c_0_292]), c_0_293]), c_0_294]), c_0_295]), c_0_296]), c_0_297]), funcGraphProp3]), c_0_298]), c_0_299]), funcGraphProp4]), c_0_300])])]), c_0_301])).
% 2.86/0.65 thf(c_0_303, negated_conjecture, ![X1395:$i, X1396:$i, X1398:$i, X1399:$i, X1400:$i, X1401:$i, X1402:$i, X1403:$i, X1404:$i, X1405:$i, X1406:$i, X1408:$i, X1409:$i, X1411:$i, X1412:$i, X1413:$i, X1414:$i, X1415:$i, X1417:$i, X1418:$i > $i > $o, X1419:$i, X1421:$i, X1424:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$i, X1431:$i, X1432:$i > $o, X1433:$i, X1435:$i, X1436:$i > $o, X1437:$i, X1438:$i, X1439:$i > $o, X1440:$i, X1441:$i, X1442:$i > $o, X1443:$i, X1444:$i > $o, X1445:$i, X1448:$i, X1449:$o, X1450:$i, X1451:$i, X1452:$o, X1453:$i, X1454:$i, X1455:$i > $o, X1456:$i, X1459:$i, X1460:$i, X1463:$i, X1465:$i, X1467:$i, X1468:$i > $o, X1469:$i, X1470:$i, X1472:$i, X1473:$i > $o, X1474:$i, X1475:$i, X1476:$i, X1477:$i, X1478:$i, X1479:$i, X1480:$i, X1481:$i, X1482:$i, X1483:$i, X1484:$i, X1485:$o, X1486:$i, X1487:$i, X1488:$i, X1489:$i, X1490:$i, X1491:$i, X1493:$i, X1494:$i, X1495:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i, X1501:$i, X1502:$i, X1503:$o, X1505:$i, X1506:$i, X1507:$i > $o, X1508:$i, X1511:$i, X1512:$i, X1513:$i, X1515:$i, X1516:$i, X1517:$i, X1518:$i, X1519:$i, X1520:$i, X1521:$i, X1522:$i, X1523:$i, X1524:$i, X1525:$i, X1526:$i, X1527:$i, X1528:$i, X1529:$i, X1530:$i, X1531:$i > $o, X1532:$i, X1533:$i > $o, X1534:$i, X1535:$i, X1536:$i > $o, X1537:$i, X1539:$i, X1540:$i > $o, X1542:$i, X1543:$i, X1544:$i > $o, X1546:$i, X1547:$i, X1548:$i > $o, X1549:$i, X1551:$o, X1552:$o, X1553:$i, X1554:$i > $o, X1556:$i, X1557:$i, X1558:$i > $o, X1559:$i, X1561:$i > $o, X1562:$i, X1565:$i, X1566:$i > $o, X1567:$i, X1571:$i, X1572:$i > $o, X1573:$i, X1576:$i, X1577:$i, X1578:$i, X1579:$i, X1580:$i, X1581:$i, X1582:$i, X1583:$i, X1584:$i, X1585:$i > $o, X1586:$i, X1588:$i, X1589:$i, X1590:$i > $o, X1591:$i > $o, X1594:$i, X1597:$i, X1598:$i, X1601:$i, X1602:$i, X1603:$i, X1604:$i, X1605:$i, X1606:$i, X1607:$i, X1608:$i, X1609:$i, X1610:$i > $o, X1611:$i, X1613:$i, X1614:$i, X1615:$i > $o, X1616:$i > $o, X1619:$i, X1621:$i, X1623:$i, X1624:$i, X1625:$i > $o, X1626:$i > $o, X1629:$i, X1630:$i, X1632:$i, X1633:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$i, X1644:$i, X1645:$i, X1646:$i, X1647:$i, X1648:$i, X1649:$i, X1650:$i, X1651:$i, X1652:$i, X1653:$i, X1654:$i, X1655:$i, X1656:$i, X1657:$i, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$i, X1665:$i, X1666:$i, X1667:$i, X1668:$i, X1669:$i, X1670:$i, X1671:$i, X1672:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i > $o, X1677:$i, X1678:$i > $o, X1679:$i, X1680:$i, X1681:$i, X1682:$i, X1683:$i, X1684:$i, X1685:$i, X1686:$i, X1687:$i, X1688:$i, X1689:$i, X1690:$o, X1691:$i, X1692:$i, X1693:$i, X1694:$i, X1695:$i, X1696:$i, X1697:$i, X1698:$i, X1699:$i, X1700:$i, X1701:$i, X1702:$i, X1703:$i, X1704:$i, X1705:$i, X1706:$i, X1707:$i, X1708:$i, X1709:$i, X1710:$i, X1711:$i, X1712:$i, X1713:$i, X1714:$i, X1715:$i, X1716:$i, X1717:$i, X1719:$i, X1720:$i, X1721:$i, X1722:$i, X1723:$i, X1724:$i, X1725:$i, X1726:$i, X1727:$i, X1728:$i, X1729:$i, X1730:$i, X1731:$i, X1732:$i, X1733:$i, X1734:$i, X1735:$i, X1736:$i, X1737:$i, X1738:$i, X1739:$i, X1740:$i, X1741:$i, X1742:$i, X1743:$i, X1744:$i, X1745:$i, X1746:$i, X1747:$i, X1748:$i, X1749:$i, X1750:$i, X1751:$i, X1752:$i, X1753:$i, X1754:$i, X1755:$i, X1756:$i, X1757:$i, X1758:$o, X1759:$i, X1760:$i, X1761:$i, X1762:$i, X1763:$i, X1764:$i, X1765:$i, X1766:$i, X1767:$i, X1768:$i, X1769:$i, X1770:$i, X1771:$i, X1772:$i, X1773:$i, X1774:$i, X1775:$i, X1776:$i, X1777:$i, X1778:$i, X1779:$i, X1780:$i, X1781:$i, X1782:$i, X1783:$i, X1784:$i, X1785:$i, X1786:$i, X1787:$i, X1788:$i, X1789:$i, X1790:$i, X1791:$i, X1792:$i, X1793:$i, X1794:$i, X1795:$i, X1796:$i, X1797:$i, X1798:$i, X1799:$i, X1800:$i, X1801:$i, X1802:$i, X1803:$i, X1804:$i, X1805:$i, X1806:$i, X1807:$i, X1808:$i, X1809:$i, X1810:$i, X1811:$i, X1812:$i, X1813:$i, X1814:$i, X1815:$i, X1816:$i, X1817:$i, X1820:$i, X1821:$i, X1822:$i, X1823:$i, X1824:$i, X1826:$i, X1827:$i, X1828:$i, X1829:$i, X1830:$i > $o, X1833:$i, X1835:$i, X1836:$i > $o, X1837:$i, X1839:$i, X1840:$i > $o, X1841:$i, X1844:$i, X1845:$i > $o, X1848:$i, X1850:$i, X1851:$i, X1852:$i, X1853:$i, X1854:$i, X1855:$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:$i, X1893:$i, X1894:$i, X1895:$i, X1896:$i, X1897:$i, X1898:$i, X1899:$i, X1900:$i, X1901:$i, X1902:$i, X1903:$i, X1904:$i, X1905:$i, X1906:$i, X1907:$i, X1908:$i, X1909:$i, X1910:$i, X1911:$i, X1912:$i, X1913:$i, X1914:$i, X1915:$i, X1916:$i, X1917:$i, X1918:$i, X1919:$i, X1920:$i, X1921:$i, X1922:$i, X1923:$i, X1924:$i > $i > $o, X1925:$i, X1926:$i, X1927:$i, X1928:$i, X1929:$i > $i > $o, X1930:$i, X1931:$i, X1932:$i > $i > $o, X1933:$i, X1934:$i, X1935:$i > $i > $o, X1936:$i, X1937:$i, X1938:$i, X1939:$i, X1940:$i > $i > $o, X1941:$i, X1942:$i, X1943:$i, X1944:$i, X1945:$i > $i > $o, X1946:$i, X1947:$i, X1948:$i, X1949:$i, X1950:$i > $i > $o, X1951:$i, X1952:$i, X1953:$i, X1954:$i, X1955:$i, X1957:$i, X1958:$i, X1960:$i, X1961:$i, X1962:$i, X1964:$i, X1965:$i, X1966:$i, X1967:$i, X1968:$i, X1970:$i, X1971:$i, X1972:$i, X1973:$i, X1974:$i, X1975:$i, X1977:$i, X1978:$i, X1979:$i, X1980:$i, X1981:$i, X1982:$i, X1983:$i, X1985:$i, X1986:$i, X1987:$i, X1988:$i > $i, X1990:$i, X1992:$i, X1993:$i, X1994:$i > $i, X1996:$i, X1998:$i, X1999:$i, X2000:$i > $i, X2002:$i, X2003:$i, X2004:$i, X2005:$i > $o, X2008:$i, X2009:$i, X2010:$i, X2011:$i, X2012:$i > $o, X2015:$i, X2016:$i, X2017:$i > $o, X2018:$i, X2019:$i, X2020:$i, X2021:$i, X2022:$i, X2023:$i, X2025:$i, X2026:$i, X2027:$i, X2028:$i, X2029:$i, X2030:$i, X2031:$i, X2032:$i, X2033:$i, X2035:$i, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2040:$i, X2042:$i, X2043:$i, X2045:$i, X2047:$i, X2048:$i, X2049:$i, X2050:$i, X2051:$i, X2052:$i, X2053:$i, X2054:$i, X2055:$i, X2056:$i, X2057:$i, X2064:$i, X2065:$i, X2066:$i, X2067:$i]:((((~(in @ (esk1_2 @ X1395 @ X1396) @ X1395)|~(in @ (esk1_2 @ X1395 @ X1396) @ X1396)|((X1395)=(X1396)))&((in @ (esk1_2 @ X1395 @ X1396) @ X1395)|(in @ (esk1_2 @ X1395 @ X1396) @ X1396)|((X1395)=(X1396))))&(~(in @ X1398 @ emptyset)&(((~(in @ X1401 @ (setadjoin @ X1399 @ X1400))|(((X1401)=(X1399))|(in @ X1401 @ X1400)))&((((X1401)!=(X1399))|(in @ X1401 @ (setadjoin @ X1399 @ X1400)))&(~(in @ X1401 @ X1400)|(in @ X1401 @ (setadjoin @ X1399 @ X1400)))))&(((~(in @ X1403 @ (powerset @ X1402))|(~(in @ X1404 @ X1403)|(in @ X1404 @ X1402)))&(((in @ (esk2_2 @ X1405 @ X1406) @ X1406)|(in @ X1406 @ (powerset @ X1405)))&(~(in @ (esk2_2 @ X1405 @ X1406) @ X1405)|(in @ X1406 @ (powerset @ X1405)))))&(((((in @ X1409 @ (esk3_2 @ X1408 @ X1409))|~(in @ X1409 @ (setunion @ X1408)))&((in @ (esk3_2 @ X1408 @ X1409) @ X1408)|~(in @ X1409 @ (setunion @ X1408))))&(~(in @ X1412 @ X1413)|~(in @ X1413 @ X1411)|(in @ X1412 @ (setunion @ X1411))))&((in @ emptyset @ omega)&((~(in @ X1414 @ omega)|(in @ (setadjoin @ X1414 @ X1414) @ omega))&(((((in @ (esk4_1 @ X1415) @ omega)|~(in @ emptyset @ X1415)|(~(in @ X1417 @ omega)|(in @ X1417 @ X1415)))&((in @ (esk4_1 @ X1415) @ X1415)|~(in @ emptyset @ X1415)|(~(in @ X1417 @ omega)|(in @ X1417 @ X1415))))&(~(in @ (setadjoin @ (esk4_1 @ X1415) @ (esk4_1 @ X1415)) @ X1415)|~(in @ emptyset @ X1415)|(~(in @ X1417 @ omega)|(in @ X1417 @ X1415))))&((((((in @ (esk8_3 @ X1418 @ X1419 @ X1424) @ X1419)|~(in @ X1424 @ (esk7_2 @ X1418 @ X1419))|(in @ (esk5_2 @ X1418 @ X1419) @ X1419))&((X1418 @ (esk8_3 @ X1418 @ X1419 @ X1424) @ X1424)|~(in @ X1424 @ (esk7_2 @ X1418 @ X1419))|(in @ (esk5_2 @ X1418 @ X1419) @ X1419)))&(~(in @ X1427 @ X1419)|~(X1418 @ X1427 @ X1426)|(in @ X1426 @ (esk7_2 @ X1418 @ X1419))|(in @ (esk5_2 @ X1418 @ X1419) @ X1419)))&(((((in @ (esk8_3 @ X1418 @ X1419 @ X1424) @ X1419)|~(in @ X1424 @ (esk7_2 @ X1418 @ X1419))|((X1418 @ (esk5_2 @ X1418 @ X1419) @ (esk6_3 @ X1418 @ X1419 @ X1421))|~(X1418 @ (esk5_2 @ X1418 @ X1419) @ X1421)))&((X1418 @ (esk8_3 @ X1418 @ X1419 @ X1424) @ X1424)|~(in @ X1424 @ (esk7_2 @ X1418 @ X1419))|((X1418 @ (esk5_2 @ X1418 @ X1419) @ (esk6_3 @ X1418 @ X1419 @ X1421))|~(X1418 @ (esk5_2 @ X1418 @ X1419) @ X1421))))&(~(in @ X1427 @ X1419)|~(X1418 @ X1427 @ X1426)|(in @ X1426 @ (esk7_2 @ X1418 @ X1419))|((X1418 @ (esk5_2 @ X1418 @ X1419) @ (esk6_3 @ X1418 @ X1419 @ X1421))|~(X1418 @ (esk5_2 @ X1418 @ X1419) @ X1421))))&((((in @ (esk8_3 @ X1418 @ X1419 @ X1424) @ X1419)|~(in @ X1424 @ (esk7_2 @ X1418 @ X1419))|(((X1421)!=(esk6_3 @ X1418 @ X1419 @ X1421))|~(X1418 @ (esk5_2 @ X1418 @ X1419) @ X1421)))&((X1418 @ (esk8_3 @ X1418 @ X1419 @ X1424) @ X1424)|~(in @ X1424 @ (esk7_2 @ X1418 @ X1419))|(((X1421)!=(esk6_3 @ X1418 @ X1419 @ X1421))|~(X1418 @ (esk5_2 @ X1418 @ X1419) @ X1421))))&(~(in @ X1427 @ X1419)|~(X1418 @ X1427 @ X1426)|(in @ X1426 @ (esk7_2 @ X1418 @ X1419))|(((X1421)!=(esk6_3 @ X1418 @ X1419 @ X1421))|~(X1418 @ (esk5_2 @ X1418 @ X1419) @ X1421))))))&((((in @ (esk9_1 @ X1428) @ X1428)|~(in @ X1429 @ X1428))&(~(in @ X1431 @ (esk9_1 @ X1428))|~(in @ X1431 @ X1428)|~(in @ X1429 @ X1428)))&((epred1_0)&((((X1432 @ (esk10_2 @ X1432 @ X1433))|~(X1432 @ X1433)|(X1432 @ (descr @ X1432)))&(((X1433)!=(esk10_2 @ X1432 @ X1433))|~(X1432 @ X1433)|(X1432 @ (descr @ X1432))))&((~(in @ X1437 @ X1435)|(~(X1436 @ X1437)|(in @ X1437 @ (dsetconstr @ X1435 @ X1436))))&((~(in @ X1440 @ (dsetconstr @ X1438 @ X1439))|(in @ X1440 @ X1438))&((~(in @ X1443 @ (dsetconstr @ X1441 @ X1442))|(X1442 @ X1443))&(((((X1444 @ (esk12_1 @ X1444))|((X1444 @ (esk11_2 @ X1444 @ X1445))|~(X1444 @ X1445)))&(~(X1444 @ X1448)|((esk12_1 @ X1444)=(X1448))|((X1444 @ (esk11_2 @ X1444 @ X1445))|~(X1444 @ X1445))))&(((X1444 @ (esk12_1 @ X1444))|(((X1445)!=(esk11_2 @ X1444 @ X1445))|~(X1444 @ X1445)))&(~(X1444 @ X1448)|((esk12_1 @ X1444)=(X1448))|(((X1445)!=(esk11_2 @ X1444 @ X1445))|~(X1444 @ X1445)))))&((~(in @ X1450 @ (prop2set @ ((X1449))))|(X1449))&((~(in @ X1451 @ emptyset)|(X1452))&((~(in @ X1453 @ emptyset)|~($true))&(~(in @ X1454 @ emptyset)&((((X1455 @ (esk13_2 @ X1455 @ X1456))|~(X1455 @ X1456)|(X1455 @ (esk14_1 @ X1455)))&(((X1456)!=(esk13_2 @ X1455 @ X1456))|~(X1455 @ X1456)|(X1455 @ (esk14_1 @ X1455))))&(((((in @ (esk16_2 @ X1459 @ X1460) @ X1460)|((X1459)=(X1460))|(in @ (esk15_2 @ X1459 @ X1460) @ X1459))&(~(in @ (esk16_2 @ X1459 @ X1460) @ X1459)|((X1459)=(X1460))|(in @ (esk15_2 @ X1459 @ X1460) @ X1459)))&(((in @ (esk16_2 @ X1459 @ X1460) @ X1460)|((X1459)=(X1460))|~(in @ (esk15_2 @ X1459 @ X1460) @ X1460))&(~(in @ (esk16_2 @ X1459 @ X1460) @ X1459)|((X1459)=(X1460))|~(in @ (esk15_2 @ X1459 @ X1460) @ X1460))))&(((in @ (esk17_1 @ X1463) @ X1463)|((X1463)=(emptyset)))&(((in @ (esk18_1 @ X1465) @ X1465)|((X1465)=(emptyset)))&(((~(in @ X1469 @ (dsetconstr @ X1467 @ X1468))|(X1468 @ X1469)|~(in @ X1469 @ X1467))&(~(X1468 @ X1469)|(in @ X1469 @ (dsetconstr @ X1467 @ X1468))|~(in @ X1469 @ X1467)))&((((X1470)=(emptyset))|(in @ (esk19_1 @ X1470) @ X1470))&((~(in @ X1474 @ X1472)|(~(X1473 @ X1474)|((dsetconstr @ X1472 @ X1473)!=(emptyset))))&((~(in @ X1476 @ X1475)|((X1475)!=(emptyset)))&((in @ X1477 @ (setadjoin @ X1477 @ X1478))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1481 @ X1480)|(in @ X1481 @ (setadjoin @ X1479 @ X1480)))&(((((in @ X1484 @ X1483)|(X1485)|((X1484)=(X1482))|~(in @ X1484 @ (setadjoin @ X1482 @ X1483)))&(~(X1485)|(X1485)|((X1484)=(X1482))|~(in @ X1484 @ (setadjoin @ X1482 @ X1483))))&(((in @ X1484 @ X1483)|(X1485)|~(X1485)|~(in @ X1484 @ (setadjoin @ X1482 @ X1483)))&(~(X1485)|(X1485)|~(X1485)|~(in @ X1484 @ (setadjoin @ X1482 @ X1483)))))&((~(in @ X1488 @ (setadjoin @ X1486 @ X1487))|(((X1488)=(X1486))|(in @ X1488 @ X1487)))&(((dsetconstr @ X1489 @ (^[Z0:$i]:($true)))=(X1489))&((((in @ (esk20_2 @ X1490 @ X1491) @ X1491)|(in @ X1491 @ (powerset @ X1490)))&(~(in @ (esk20_2 @ X1490 @ X1491) @ X1490)|(in @ X1491 @ (powerset @ X1490))))&((in @ emptyset @ (powerset @ X1493))&((in @ emptyset @ (powerset @ X1494))&((~(in @ X1496 @ (powerset @ X1495))|(~(in @ X1497 @ X1496)|(in @ X1497 @ X1495)))&((~(in @ X1499 @ X1500)|(~(in @ X1500 @ X1498)|(in @ X1499 @ (setunion @ X1498))))&((((in @ X1502 @ (esk21_3 @ X1501 @ X1502 @ X1503))|(X1503)|~(in @ X1502 @ (setunion @ X1501)))&(((in @ (esk21_3 @ X1501 @ X1502 @ X1503) @ X1501)|(X1503)|~(in @ X1502 @ (setunion @ X1501)))&(~(X1503)|(X1503)|~(in @ X1502 @ (setunion @ X1501)))))&((~(in @ X1506 @ X1505)|(in @ X1506 @ (powerset @ (setunion @ X1505))))&((((~(X1507 @ X1511)|((X1511)=(esk23_1 @ X1507))|((X1507 @ (esk22_2 @ X1507 @ X1508))|~(X1507 @ X1508)))&(((X1512)!=(esk23_1 @ X1507))|(X1507 @ X1512)|((X1507 @ (esk22_2 @ X1507 @ X1508))|~(X1507 @ X1508))))&((~(X1507 @ X1511)|((X1511)=(esk23_1 @ X1507))|(((X1508)!=(esk22_2 @ X1507 @ X1508))|~(X1507 @ X1508)))&(((X1512)!=(esk23_1 @ X1507))|(X1507 @ X1512)|(((X1508)!=(esk22_2 @ X1507 @ X1508))|~(X1507 @ X1508)))))&((((in @ (esk24_1 @ X1513) @ X1513)|((X1513)=(emptyset)))&(($true)|((X1513)=(emptyset))))&((~(in @ X1515 @ (setadjoin @ X1516 @ emptyset))|((X1515)=(X1516)))&((((X1517)=(X1518))|~(in @ X1518 @ (setadjoin @ X1517 @ emptyset)))&((((X1519)!=(X1520))|(in @ X1519 @ (setadjoin @ X1520 @ emptyset)))&((~(in @ X1521 @ (setadjoin @ X1522 @ emptyset))|(in @ X1522 @ (setadjoin @ X1521 @ emptyset)))&((~(in @ X1525 @ (setadjoin @ X1523 @ (setadjoin @ X1524 @ emptyset)))|(((X1525)=(X1523))|((X1525)=(X1524))))&((in @ X1526 @ (setadjoin @ X1526 @ (setadjoin @ X1527 @ emptyset)))&((in @ X1529 @ (setadjoin @ X1528 @ (setadjoin @ X1529 @ emptyset)))&((~(in @ X1532 @ X1530)|~(X1531 @ X1532)|(((dsetconstr @ X1530 @ X1531)!=(emptyset))|~($true)))&((~(in @ X1534 @ emptyset)|(X1533 @ X1534))&((((in @ (esk25_2 @ X1535 @ X1536) @ X1535)|(~(in @ X1537 @ X1535)|(X1536 @ X1537)))&(~(X1536 @ (esk25_2 @ X1535 @ X1536))|(~(in @ X1537 @ X1535)|(X1536 @ X1537))))&((((in @ (esk26_2 @ X1539 @ X1540) @ X1539)|(~(in @ X1542 @ X1539)|~(X1540 @ X1542)))&((X1540 @ (esk26_2 @ X1539 @ X1540))|(~(in @ X1542 @ X1539)|~(X1540 @ X1542))))&((((in @ (esk27_2 @ X1543 @ X1544) @ X1543)|(~(in @ X1546 @ X1543)|~(X1544 @ X1546)))&((X1544 @ (esk27_2 @ X1543 @ X1544))|(~(in @ X1546 @ X1543)|~(X1544 @ X1546))))&((((in @ (esk28_2 @ X1547 @ X1548) @ X1547)|(~(in @ X1549 @ X1547)|(X1548 @ X1549)))&(~(X1548 @ (esk28_2 @ X1547 @ X1548))|(~(in @ X1549 @ X1547)|(X1548 @ X1549))))&((~(X1551)|(in @ emptyset @ (prop2set @ ((X1551)))))&((~(X1552)|(set2prop @ (prop2set @ ((X1552)))))&((((in @ (esk29_2 @ X1553 @ X1554) @ X1553)|(~(in @ X1556 @ X1553)|~(X1554 @ X1556)))&((X1554 @ (esk29_2 @ X1553 @ X1554))|(~(in @ X1556 @ X1553)|~(X1554 @ X1556))))&((((in @ (esk30_2 @ X1557 @ X1558) @ X1557)|(~(in @ X1559 @ X1557)|(X1558 @ X1559)))&(~(X1558 @ (esk30_2 @ X1557 @ X1558))|(~(in @ X1559 @ X1557)|(X1558 @ X1559))))&(((((X1561 @ (esk32_1 @ X1561))|((X1561 @ (esk31_2 @ X1561 @ X1562))|~(X1561 @ X1562)))&(~(X1561 @ X1565)|((esk32_1 @ 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X1968)))))|((dsetconstr @ X1967 @ (^[Z0:$i]:((in @ (kpair @ (esk72_3 @ X1966 @ X1967 @ X1968) @ Z0) @ X1968))))!=(setadjoin @ X1970 @ emptyset))|~(subset @ X1968 @ (cartprod @ X1966 @ X1967))|(~(in @ X1971 @ X1966)|(in @ (ap @ X1966 @ X1967 @ X1968 @ X1971) @ X1967))))&((((subset @ X1974 @ (cartprod @ X1972 @ X1973))|~(in @ X1974 @ (funcSet @ X1972 @ X1973)))&(((in @ (esk73_4 @ X1972 @ X1973 @ X1974 @ X1975) @ (dsetconstr @ X1973 @ (^[Z0:$i]:((in @ (kpair @ X1975 @ Z0) @ X1974)))))|~(in @ X1975 @ X1972)|~(in @ X1974 @ (funcSet @ X1972 @ X1973)))&(((dsetconstr @ X1973 @ (^[Z0:$i]:((in @ (kpair @ X1975 @ Z0) @ X1974))))=(setadjoin @ (esk73_4 @ X1972 @ X1973 @ X1974 @ X1975) @ emptyset))|~(in @ X1975 @ X1972)|~(in @ X1974 @ (funcSet @ X1972 @ X1973)))))&((~(in @ X1979 @ (funcSet @ X1977 @ X1978))|(~(in @ X1980 @ X1977)|(in @ (ap @ X1977 @ X1978 @ X1979 @ X1980) @ X1978)))&((((in @ (esk74_3 @ X1981 @ X1982 @ X1983) @ X1981)|~(subset @ X1983 @ (cartprod @ X1981 @ X1982))|(in @ X1983 @ (funcSet @ X1981 @ X1982)))&(~(in @ X1985 @ (dsetconstr @ X1982 @ (^[Z0:$i]:((in @ (kpair @ (esk74_3 @ X1981 @ X1982 @ X1983) @ Z0) @ X1983)))))|((dsetconstr @ X1982 @ (^[Z0:$i]:((in @ (kpair @ (esk74_3 @ X1981 @ X1982 @ X1983) @ Z0) @ X1983))))!=(setadjoin @ X1985 @ emptyset))|~(subset @ X1983 @ (cartprod @ X1981 @ X1982))|(in @ X1983 @ (funcSet @ X1981 @ X1982))))&(((((subset @ (dpsetconstr @ X1986 @ X1987 @ (^[Z0:$i]:($eq @ (X1988 @ Z0)))) @ (cartprod @ X1986 @ X1987))|(in @ (esk75_3 @ X1986 @ X1987 @ X1988) @ X1986))&(((in @ (esk76_4 @ X1986 @ X1987 @ X1988 @ X1990) @ (dsetconstr @ X1987 @ (^[Z0:$i]:((in @ (kpair @ X1990 @ Z0) @ (dpsetconstr @ X1986 @ X1987 @ (^[Z1:$i]:($eq @ (X1988 @ Z1)))))))))|~(in @ X1990 @ X1986)|(in @ (esk75_3 @ X1986 @ X1987 @ X1988) @ X1986))&(((dsetconstr @ X1987 @ (^[Z0:$i]:((in @ (kpair @ X1990 @ Z0) @ (dpsetconstr @ X1986 @ X1987 @ (^[Z1:$i]:($eq @ (X1988 @ Z1))))))))=(setadjoin @ (esk76_4 @ X1986 @ X1987 @ X1988 @ X1990) @ emptyset))|~(in @ X1990 @ X1986)|(in @ (esk75_3 @ X1986 @ X1987 @ X1988) @ X1986))))&(((subset @ (dpsetconstr @ X1986 @ X1987 @ (^[Z0:$i]:($eq @ (X1988 @ Z0)))) @ (cartprod @ X1986 @ X1987))|~(in @ (X1988 @ (esk75_3 @ X1986 @ X1987 @ X1988)) @ X1987))&(((in @ (esk76_4 @ X1986 @ X1987 @ X1988 @ X1990) @ (dsetconstr @ X1987 @ (^[Z0:$i]:((in @ (kpair @ X1990 @ Z0) @ (dpsetconstr @ X1986 @ X1987 @ (^[Z1:$i]:($eq @ (X1988 @ Z1)))))))))|~(in @ X1990 @ X1986)|~(in @ (X1988 @ (esk75_3 @ X1986 @ X1987 @ X1988)) @ X1987))&(((dsetconstr @ X1987 @ (^[Z0:$i]:((in @ (kpair @ X1990 @ Z0) @ (dpsetconstr @ X1986 @ X1987 @ (^[Z1:$i]:($eq @ (X1988 @ Z1))))))))=(setadjoin @ (esk76_4 @ X1986 @ X1987 @ X1988 @ X1990) @ emptyset))|~(in @ X1990 @ X1986)|~(in @ (X1988 @ (esk75_3 @ X1986 @ X1987 @ X1988)) @ X1987)))))&(((((subset @ (lam @ X1992 @ X1993 @ X1994) @ (cartprod @ X1992 @ X1993))|(in @ (esk77_3 @ X1992 @ X1993 @ X1994) @ X1992))&(((in @ (esk78_4 @ X1992 @ X1993 @ X1994 @ X1996) @ (dsetconstr @ X1993 @ (^[Z0:$i]:((in @ (kpair @ X1996 @ Z0) @ (lam @ X1992 @ X1993 @ X1994))))))|~(in @ X1996 @ X1992)|(in @ (esk77_3 @ X1992 @ X1993 @ X1994) @ X1992))&(((dsetconstr @ X1993 @ (^[Z0:$i]:((in @ (kpair @ X1996 @ Z0) @ (lam @ X1992 @ X1993 @ X1994)))))=(setadjoin @ (esk78_4 @ X1992 @ X1993 @ X1994 @ X1996) @ emptyset))|~(in @ X1996 @ X1992)|(in @ (esk77_3 @ X1992 @ X1993 @ X1994) @ X1992))))&(((subset @ (lam @ X1992 @ X1993 @ X1994) @ (cartprod @ X1992 @ X1993))|~(in @ (X1994 @ (esk77_3 @ X1992 @ X1993 @ X1994)) @ X1993))&(((in @ (esk78_4 @ X1992 @ X1993 @ X1994 @ X1996) @ (dsetconstr @ X1993 @ (^[Z0:$i]:((in @ (kpair @ X1996 @ Z0) @ (lam @ X1992 @ X1993 @ X1994))))))|~(in @ X1996 @ X1992)|~(in @ (X1994 @ (esk77_3 @ X1992 @ X1993 @ X1994)) @ X1993))&(((dsetconstr @ X1993 @ (^[Z0:$i]:((in @ (kpair @ X1996 @ Z0) @ (lam @ X1992 @ X1993 @ X1994)))))=(setadjoin @ (esk78_4 @ X1992 @ X1993 @ X1994 @ X1996) @ emptyset))|~(in @ X1996 @ X1992)|~(in @ (X1994 @ (esk77_3 @ X1992 @ X1993 @ X1994)) @ X1993)))))&((((in @ (esk79_3 @ X1998 @ X1999 @ X2000) @ X1998)|(in @ (lam @ X1998 @ X1999 @ X2000) @ (funcSet @ X1998 @ X1999)))&(~(in @ (X2000 @ (esk79_3 @ X1998 @ X1999 @ X2000)) @ X1999)|(in @ (lam @ X1998 @ X1999 @ X2000) @ (funcSet @ X1998 @ X1999))))&((((in @ (esk80_4 @ X2002 @ X2003 @ X2004 @ X2005) @ X2002)|(~(in @ X2008 @ X2004)|(X2005 @ X2008))|~(subset @ X2004 @ (cartprod @ X2002 @ X2003)))&(((in @ (esk81_4 @ X2002 @ X2003 @ X2004 @ X2005) @ X2003)|(~(in @ X2008 @ X2004)|(X2005 @ X2008))|~(subset @ X2004 @ (cartprod @ X2002 @ X2003)))&(((in @ (kpair @ (esk80_4 @ X2002 @ X2003 @ X2004 @ X2005) @ (esk81_4 @ X2002 @ X2003 @ X2004 @ X2005)) @ X2004)|(~(in @ X2008 @ X2004)|(X2005 @ X2008))|~(subset @ X2004 @ (cartprod @ X2002 @ X2003)))&(~(X2005 @ (kpair @ (esk80_4 @ X2002 @ X2003 @ X2004 @ X2005) @ (esk81_4 @ X2002 @ X2003 @ X2004 @ X2005)))|(~(in @ X2008 @ X2004)|(X2005 @ X2008))|~(subset @ X2004 @ (cartprod @ X2002 @ X2003))))))&((((in @ (esk82_4 @ X2009 @ X2010 @ X2011 @ X2012) @ X2009)|(~(in @ X2015 @ X2011)|(X2012 @ X2015))|~(subset @ X2011 @ (cartprod @ X2009 @ X2010)))&(((in @ (esk83_4 @ X2009 @ X2010 @ X2011 @ X2012) @ X2010)|(~(in @ X2015 @ X2011)|(X2012 @ X2015))|~(subset @ X2011 @ (cartprod @ X2009 @ X2010)))&(((in @ (kpair @ (esk82_4 @ X2009 @ X2010 @ X2011 @ X2012) @ (esk83_4 @ X2009 @ X2010 @ X2011 @ X2012)) @ X2011)|(~(in @ X2015 @ X2011)|(X2012 @ X2015))|~(subset @ X2011 @ (cartprod @ X2009 @ X2010)))&(~(X2012 @ (kpair @ (esk82_4 @ X2009 @ X2010 @ X2011 @ X2012) @ (esk83_4 @ X2009 @ X2010 @ X2011 @ X2012)))|(~(in @ X2015 @ X2011)|(X2012 @ X2015))|~(subset @ X2011 @ (cartprod @ X2009 @ X2010))))))&((~(in @ X2018 @ (dsetconstr @ X2016 @ X2017))|((dsetconstr @ X2016 @ X2017)!=(setadjoin @ X2018 @ emptyset))|(~(in @ X2019 @ X2016)|(~(in @ X2020 @ X2016)|(~(X2017 @ X2019)|(~(X2017 @ X2020)|((X2019)=(X2020)))))))&((((in @ (esk84_3 @ X2021 @ X2022 @ X2023) @ X2021)|~(subset @ X2023 @ (cartprod @ X2021 @ X2022))|(~(in @ X2026 @ X2021)|(in @ (kpair @ X2026 @ (ap @ X2021 @ X2022 @ X2023 @ X2026)) @ X2023)))&(~(in @ X2025 @ (dsetconstr @ X2022 @ (^[Z0:$i]:((in @ (kpair @ (esk84_3 @ X2021 @ X2022 @ X2023) @ Z0) @ X2023)))))|((dsetconstr @ X2022 @ (^[Z0:$i]:((in @ (kpair @ (esk84_3 @ X2021 @ X2022 @ X2023) @ Z0) @ X2023))))!=(setadjoin @ X2025 @ emptyset))|~(subset @ X2023 @ (cartprod @ X2021 @ X2022))|(~(in @ X2026 @ X2021)|(in @ (kpair @ X2026 @ (ap @ X2021 @ X2022 @ X2023 @ X2026)) @ X2023))))&((~(in @ X2029 @ (funcSet @ X2027 @ X2028))|(~(in @ X2030 @ X2027)|(in @ (kpair @ X2030 @ (ap @ X2027 @ X2028 @ X2029 @ X2030)) @ X2029)))&((((in @ (esk85_3 @ X2031 @ X2032 @ X2033) @ X2031)|~(subset @ X2033 @ (cartprod @ X2031 @ X2032))|(~(in @ X2036 @ X2031)|(~(in @ X2037 @ X2032)|(~(in @ (kpair @ X2036 @ X2037) @ X2033)|((ap @ X2031 @ X2032 @ X2033 @ X2036)=(X2037))))))&(~(in @ X2035 @ (dsetconstr @ X2032 @ (^[Z0:$i]:((in @ (kpair @ (esk85_3 @ X2031 @ X2032 @ X2033) @ Z0) @ X2033)))))|((dsetconstr @ X2032 @ (^[Z0:$i]:((in @ (kpair @ (esk85_3 @ X2031 @ X2032 @ X2033) @ Z0) @ X2033))))!=(setadjoin @ X2035 @ emptyset))|~(subset @ X2033 @ (cartprod @ X2031 @ X2032))|(~(in @ X2036 @ X2031)|(~(in @ X2037 @ X2032)|(~(in @ (kpair @ X2036 @ X2037) @ X2033)|((ap @ X2031 @ X2032 @ X2033 @ X2036)=(X2037)))))))&((((((in @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043) @ X2038)|(~(in @ X2047 @ X2038)|(~(in @ X2048 @ X2039)|(~(in @ (kpair @ X2047 @ X2048) @ X2043)|(in @ (kpair @ X2047 @ X2048) @ X2040))))|((in @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ X2038)|~(subset @ X2043 @ (cartprod @ X2038 @ X2039)))|((in @ (esk86_3 @ X2038 @ X2039 @ X2040) @ X2038)|~(subset @ X2040 @ (cartprod @ X2038 @ X2039))))&(((ap @ X2038 @ X2039 @ X2040 @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043))!=(ap @ X2038 @ X2039 @ X2043 @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043)))|(~(in @ X2047 @ X2038)|(~(in @ X2048 @ X2039)|(~(in @ (kpair @ X2047 @ X2048) @ X2043)|(in @ (kpair @ X2047 @ X2048) @ X2040))))|((in @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ X2038)|~(subset @ X2043 @ (cartprod @ X2038 @ X2039)))|((in @ (esk86_3 @ X2038 @ X2039 @ X2040) @ X2038)|~(subset @ X2040 @ (cartprod @ X2038 @ X2039)))))&(((in @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043) @ X2038)|(~(in @ X2047 @ X2038)|(~(in @ X2048 @ X2039)|(~(in @ (kpair @ X2047 @ X2048) @ X2043)|(in @ (kpair @ X2047 @ X2048) @ X2040))))|(~(in @ X2045 @ (dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ Z0) @ X2043)))))|((dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ Z0) @ X2043))))!=(setadjoin @ X2045 @ emptyset))|~(subset @ X2043 @ (cartprod @ X2038 @ X2039)))|((in @ (esk86_3 @ X2038 @ X2039 @ X2040) @ X2038)|~(subset @ X2040 @ (cartprod @ X2038 @ X2039))))&(((ap @ X2038 @ X2039 @ X2040 @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043))!=(ap @ X2038 @ X2039 @ X2043 @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043)))|(~(in @ X2047 @ X2038)|(~(in @ X2048 @ X2039)|(~(in @ (kpair @ X2047 @ X2048) @ X2043)|(in @ (kpair @ X2047 @ X2048) @ X2040))))|(~(in @ X2045 @ (dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ Z0) @ X2043)))))|((dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ Z0) @ X2043))))!=(setadjoin @ X2045 @ emptyset))|~(subset @ X2043 @ (cartprod @ X2038 @ X2039)))|((in @ (esk86_3 @ X2038 @ X2039 @ X2040) @ X2038)|~(subset @ X2040 @ (cartprod @ X2038 @ X2039))))))&((((in @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043) @ X2038)|(~(in @ X2047 @ X2038)|(~(in @ X2048 @ X2039)|(~(in @ (kpair @ X2047 @ X2048) @ X2043)|(in @ (kpair @ X2047 @ X2048) @ X2040))))|((in @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ X2038)|~(subset @ X2043 @ (cartprod @ X2038 @ X2039)))|(~(in @ X2042 @ (dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2038 @ X2039 @ X2040) @ Z0) @ X2040)))))|((dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2038 @ X2039 @ X2040) @ Z0) @ X2040))))!=(setadjoin @ X2042 @ emptyset))|~(subset @ X2040 @ (cartprod @ X2038 @ X2039))))&(((ap @ X2038 @ X2039 @ X2040 @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043))!=(ap @ X2038 @ X2039 @ X2043 @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043)))|(~(in @ X2047 @ X2038)|(~(in @ X2048 @ X2039)|(~(in @ (kpair @ X2047 @ X2048) @ X2043)|(in @ (kpair @ X2047 @ X2048) @ X2040))))|((in @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ X2038)|~(subset @ X2043 @ (cartprod @ X2038 @ X2039)))|(~(in @ X2042 @ (dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2038 @ X2039 @ X2040) @ Z0) @ X2040)))))|((dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2038 @ X2039 @ X2040) @ Z0) @ X2040))))!=(setadjoin @ X2042 @ emptyset))|~(subset @ X2040 @ (cartprod @ X2038 @ X2039)))))&(((in @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043) @ X2038)|(~(in @ X2047 @ X2038)|(~(in @ X2048 @ X2039)|(~(in @ (kpair @ X2047 @ X2048) @ X2043)|(in @ (kpair @ X2047 @ X2048) @ X2040))))|(~(in @ X2045 @ (dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ Z0) @ X2043)))))|((dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ Z0) @ X2043))))!=(setadjoin @ X2045 @ emptyset))|~(subset @ X2043 @ (cartprod @ X2038 @ X2039)))|(~(in @ X2042 @ (dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2038 @ X2039 @ X2040) @ Z0) @ X2040)))))|((dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2038 @ X2039 @ X2040) @ Z0) @ X2040))))!=(setadjoin @ X2042 @ emptyset))|~(subset @ X2040 @ (cartprod @ X2038 @ X2039))))&(((ap @ X2038 @ X2039 @ X2040 @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043))!=(ap @ X2038 @ X2039 @ X2043 @ (esk88_4 @ X2038 @ X2039 @ X2040 @ X2043)))|(~(in @ X2047 @ X2038)|(~(in @ X2048 @ X2039)|(~(in @ (kpair @ X2047 @ X2048) @ X2043)|(in @ (kpair @ X2047 @ X2048) @ X2040))))|(~(in @ X2045 @ (dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ Z0) @ X2043)))))|((dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk87_4 @ X2038 @ X2039 @ X2040 @ X2043) @ Z0) @ X2043))))!=(setadjoin @ X2045 @ emptyset))|~(subset @ X2043 @ (cartprod @ X2038 @ X2039)))|(~(in @ X2042 @ (dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2038 @ X2039 @ X2040) @ Z0) @ X2040)))))|((dsetconstr @ X2039 @ (^[Z0:$i]:((in @ (kpair @ (esk86_3 @ X2038 @ X2039 @ X2040) @ Z0) @ X2040))))!=(setadjoin @ X2042 @ emptyset))|~(subset @ X2040 @ (cartprod @ X2038 @ X2039)))))))&((~(in @ X2051 @ (funcSet @ X2049 @ X2050))|(~(in @ X2052 @ X2049)|(~(in @ X2053 @ X2050)|(~(in @ (kpair @ X2052 @ X2053) @ X2051)|((ap @ X2049 @ X2050 @ X2051 @ X2052)=(X2053))))))&((((in @ (esk89_4 @ X2054 @ X2055 @ X2056 @ X2057) @ X2054)|(subset @ X2056 @ X2057)|~(subset @ X2057 @ (cartprod @ X2054 @ X2055))|~(subset @ X2056 @ (cartprod @ X2054 @ X2055)))&(((in @ (esk90_4 @ X2054 @ X2055 @ X2056 @ X2057) @ X2055)|(subset @ X2056 @ X2057)|~(subset @ X2057 @ (cartprod @ X2054 @ X2055))|~(subset @ X2056 @ (cartprod @ X2054 @ X2055)))&(((in @ (kpair @ (esk89_4 @ X2054 @ X2055 @ X2056 @ X2057) @ (esk90_4 @ X2054 @ X2055 @ X2056 @ X2057)) @ X2056)|(subset @ X2056 @ X2057)|~(subset @ X2057 @ (cartprod @ X2054 @ X2055))|~(subset @ X2056 @ (cartprod @ X2054 @ X2055)))&(~(in @ (kpair @ (esk89_4 @ X2054 @ X2055 @ X2056 @ X2057) @ (esk90_4 @ X2054 @ X2055 @ X2056 @ X2057)) @ X2057)|(subset @ X2056 @ X2057)|~(subset @ X2057 @ (cartprod @ X2054 @ X2055))|~(subset @ X2056 @ (cartprod @ X2054 @ X2055))))))&((subset @ esk93_0 @ (cartprod @ esk91_0 @ esk92_0))&((subset @ esk94_0 @ (cartprod @ esk91_0 @ esk92_0))&((~(in @ X2064 @ esk91_0)|(~(in @ X2065 @ esk92_0)|(~(in @ (kpair @ X2064 @ X2065) @ esk93_0)|(in @ (kpair @ X2064 @ X2065) @ esk94_0))))&((~(in @ X2066 @ esk91_0)|(~(in @ X2067 @ esk92_0)|(~(in @ (kpair @ X2066 @ X2067) @ esk94_0)|(in @ (kpair @ X2066 @ X2067) @ esk93_0))))&((esk93_0)!=(esk94_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_302])])])])])])])).
% 2.86/0.65 thf(c_0_304, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_305, negated_conjecture, (subset @ esk94_0 @ (cartprod @ esk91_0 @ esk92_0)), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_306, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ (kfst @ X2) @ X3)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_307, negated_conjecture, ![X2:$i]:(((in @ X2 @ (cartprod @ esk91_0 @ esk92_0))|~((in @ X2 @ esk94_0)))), inference(spm,[status(thm)],[c_0_304, c_0_305])).
% 2.86/0.65 thf(c_0_308, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ (ksnd @ X2) @ X4)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_309, negated_conjecture, (subset @ esk93_0 @ (cartprod @ esk91_0 @ esk92_0)), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_310, negated_conjecture, ![X2:$i]:(((in @ (kfst @ X2) @ esk91_0)|~((in @ X2 @ esk94_0)))), inference(spm,[status(thm)],[c_0_306, c_0_307])).
% 2.86/0.65 thf(c_0_311, negated_conjecture, ![X3:$i, X2:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_312, negated_conjecture, ![X2:$i]:(((in @ (ksnd @ X2) @ esk92_0)|~((in @ X2 @ esk94_0)))), inference(spm,[status(thm)],[c_0_308, c_0_307])).
% 2.86/0.65 thf(c_0_313, negated_conjecture, ![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_314, negated_conjecture, ![X2:$i]:(((in @ X2 @ (cartprod @ esk91_0 @ esk92_0))|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_304, c_0_309])).
% 2.86/0.65 thf(c_0_315, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ esk93_0)|~((in @ X2 @ esk91_0))|~((in @ X3 @ esk92_0))|~((in @ (kpair @ X2 @ X3) @ esk94_0)))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_316, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ esk91_0)|~((in @ (kpair @ X2 @ X3) @ esk94_0)))), inference(spm,[status(thm)],[c_0_310, c_0_311])).
% 2.86/0.65 thf(c_0_317, negated_conjecture, ![X3:$i, X2:$i]:(((in @ X2 @ esk92_0)|~((in @ (kpair @ X3 @ X2) @ esk94_0)))), inference(spm,[status(thm)],[c_0_312, c_0_313])).
% 2.86/0.65 thf(c_0_318, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((iskpair @ X2)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_319, negated_conjecture, ![X2:$i]:(((in @ (kfst @ X2) @ esk91_0)|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_306, c_0_314])).
% 2.86/0.65 thf(c_0_320, negated_conjecture, ![X2:$i]:(((in @ (ksnd @ X2) @ esk92_0)|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_308, c_0_314])).
% 2.86/0.65 thf(c_0_321, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ esk93_0)|~((in @ (kpair @ X2 @ X3) @ esk94_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_315, c_0_316]), c_0_317])).
% 2.86/0.65 thf(c_0_322, negated_conjecture, ![X2:$i]:((((kpair @ (kfst @ X2) @ (ksnd @ X2))=(X2))|~((iskpair @ X2)))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_323, negated_conjecture, ![X2:$i]:(((iskpair @ X2)|~((in @ X2 @ esk94_0)))), inference(spm,[status(thm)],[c_0_318, c_0_307])).
% 2.86/0.65 thf(c_0_324, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ esk94_0)|~((in @ X2 @ esk91_0))|~((in @ X3 @ esk92_0))|~((in @ (kpair @ X2 @ X3) @ esk93_0)))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_325, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ esk91_0)|~((in @ (kpair @ X2 @ X3) @ esk93_0)))), inference(spm,[status(thm)],[c_0_319, c_0_311])).
% 2.86/0.65 thf(c_0_326, negated_conjecture, ![X3:$i, X2:$i]:(((in @ X2 @ esk92_0)|~((in @ (kpair @ X3 @ X2) @ esk93_0)))), inference(spm,[status(thm)],[c_0_320, c_0_313])).
% 2.86/0.65 thf(c_0_327, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk93_0)|~((in @ X2 @ esk94_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321, c_0_322]), c_0_323])).
% 2.86/0.65 thf(c_0_328, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_329, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ esk94_0)|~((in @ (kpair @ X2 @ X3) @ esk93_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_324, c_0_325]), c_0_326])).
% 2.86/0.65 thf(c_0_330, negated_conjecture, ![X2:$i]:(((iskpair @ X2)|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_318, c_0_314])).
% 2.86/0.65 thf(c_0_331, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk53_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_332, negated_conjecture, ![X2:$i]:(((in @ (esk53_2 @ esk94_0 @ X2) @ esk93_0)|(subset @ esk94_0 @ X2))), inference(spm,[status(thm)],[c_0_327, c_0_328])).
% 2.86/0.65 thf(c_0_333, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk94_0)|~((in @ X2 @ esk93_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329, c_0_322]), c_0_330])).
% 2.86/0.65 thf(c_0_334, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((subset @ X2 @ X3))|~((subset @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_335, negated_conjecture, (subset @ esk94_0 @ esk93_0), inference(spm,[status(thm)],[c_0_331, c_0_332])).
% 2.86/0.65 thf(c_0_336, negated_conjecture, ((esk93_0)!=(esk94_0)), inference(split_conjunct,[status(thm)],[c_0_303])).
% 2.86/0.65 thf(c_0_337, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk94_0)|~((in @ (esk53_2 @ X2 @ esk94_0) @ esk93_0)))), inference(spm,[status(thm)],[c_0_331, c_0_333])).
% 2.86/0.65 thf(c_0_338, negated_conjecture, ~((subset @ esk93_0 @ esk94_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334, c_0_335]), c_0_336])).
% 2.86/0.65 thf(c_0_339, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337, c_0_328]), c_0_338]), ['proof']).
% 2.86/0.65 % SZS output end CNFRefutation
% 2.86/0.65 % Parsed axioms : 457
% 2.86/0.65 % Removed by relevancy pruning/SinE : 0
% 2.86/0.65 % Initial clauses : 643
% 2.86/0.65 % Removed in clause preprocessing : 269
% 2.86/0.65 % Initial clauses in saturation : 374
% 2.86/0.65 % Processed clauses : 1577
% 2.86/0.65 % ...of these trivial : 16
% 2.86/0.65 % ...subsumed : 985
% 2.86/0.65 % ...remaining for further processing : 576
% 2.86/0.65 % Other redundant clauses eliminated : 29
% 2.86/0.65 % Clauses deleted for lack of memory : 0
% 2.86/0.65 % Backward-subsumed : 2
% 2.86/0.65 % Backward-rewritten : 12
% 2.86/0.65 % Generated clauses : 16479
% 2.86/0.65 % ...of the previous two non-redundant : 14027
% 2.86/0.65 % ...aggressively subsumed : 0
% 2.86/0.65 % Contextual simplify-reflections : 6
% 2.86/0.65 % Paramodulations : 16445
% 2.86/0.65 % Factorizations : 2
% 2.86/0.65 % NegExts : 0
% 2.86/0.65 % Equation resolutions : 32
% 2.86/0.65 % Disequality decompositions : 0
% 2.86/0.65 % Total rewrite steps : 5952
% 2.86/0.65 % ...of those cached : 5731
% 2.86/0.65 % Propositional unsat checks : 0
% 2.86/0.65 % Propositional check models : 0
% 2.86/0.65 % Propositional check unsatisfiable : 0
% 2.86/0.65 % Propositional clauses : 0
% 2.86/0.65 % Propositional clauses after purity: 0
% 2.86/0.65 % Propositional unsat core size : 0
% 2.86/0.65 % Propositional preprocessing time : 0.000
% 2.86/0.65 % Propositional encoding time : 0.000
% 2.86/0.65 % Propositional solver time : 0.000
% 2.86/0.65 % Success case prop preproc time : 0.000
% 2.86/0.65 % Success case prop encoding time : 0.000
% 2.86/0.65 % Success case prop solver time : 0.000
% 2.86/0.65 % Current number of processed clauses : 552
% 2.86/0.65 % Positive orientable unit clauses : 227
% 2.86/0.65 % Positive unorientable unit clauses: 0
% 2.86/0.65 % Negative unit clauses : 5
% 2.86/0.65 % Non-unit-clauses : 320
% 2.86/0.65 % Current number of unprocessed clauses: 12717
% 2.86/0.65 % ...number of literals in the above : 41539
% 2.86/0.65 % Current number of archived formulas : 0
% 2.86/0.65 % Current number of archived clauses : 15
% 2.86/0.65 % Clause-clause subsumption calls (NU) : 26443
% 2.86/0.65 % Rec. Clause-clause subsumption calls : 16683
% 2.86/0.65 % Non-unit clause-clause subsumptions : 780
% 2.86/0.65 % Unit Clause-clause subsumption calls : 1113
% 2.86/0.65 % Rewrite failures with RHS unbound : 0
% 2.86/0.65 % BW rewrite match attempts : 970
% 2.86/0.65 % BW rewrite match successes : 11
% 2.86/0.65 % Condensation attempts : 0
% 2.86/0.65 % Condensation successes : 0
% 2.86/0.65 % Termbank termtop insertions : 299220
% 2.86/0.65 % Search garbage collected termcells : 22401
% 2.86/0.65
% 2.86/0.65 % -------------------------------------------------
% 2.86/0.65 % User time : 0.291 s
% 2.86/0.65 % System time : 0.018 s
% 2.86/0.65 % Total time : 0.309 s
% 2.86/0.65 % Maximum resident set size: 8980 pages
% 2.86/0.65
% 2.86/0.65 % -------------------------------------------------
% 2.86/0.65 % User time : 0.303 s
% 2.86/0.65 % System time : 0.025 s
% 2.86/0.65 % Total time : 0.328 s
% 2.86/0.65 % Maximum resident set size: 5376 pages
% 2.86/0.65 % E exiting
%------------------------------------------------------------------------------