0.02/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.10	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.09/0.30	% Computer : n009.cluster.edu
0.09/0.30	% Model    : x86_64 x86_64
0.09/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory   : 8042.1875MB
0.09/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 1920
0.09/0.30	% WCLimit    : 240
0.09/0.30	% DateTime   : Wed Jul 30 03:43:04 EDT 2025
0.09/0.30	% CPUTime    : 
0.14/0.42	Running higher-order theorem proving
0.14/0.48	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p
3.85/1.27	# Version: 3.0.0-ho
3.85/1.27	# Preprocessing class: HSLMSLSSLLLCHFA.
3.85/1.27	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
3.85/1.27	# Starting ehoh_best5 with 240s (1) cores
3.85/1.27	# Starting almost_fo_3_lam with 240s (1) cores
3.85/1.27	# Starting new_bool_5 with 240s (1) cores
3.85/1.27	# Starting pre_casc_3 with 240s (1) cores
3.85/1.27	# Starting ho_unfolding_8 with 240s (1) cores
3.85/1.27	# Starting new_ho_10_cnf2 with 240s (1) cores
3.85/1.27	# Starting new_bool_3 with 240s (1) cores
3.85/1.27	# Starting new_ho_5 with 240s (1) cores
3.85/1.27	# new_bool_3 with pid 4414 completed with status 0
3.85/1.27	# Result found by new_bool_3
3.85/1.27	# Preprocessing class: HSLMSLSSLLLCHFA.
3.85/1.27	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
3.85/1.27	# Starting ehoh_best5 with 240s (1) cores
3.85/1.27	# Starting almost_fo_3_lam with 240s (1) cores
3.85/1.27	# Starting new_bool_5 with 240s (1) cores
3.85/1.27	# Starting pre_casc_3 with 240s (1) cores
3.85/1.27	# Starting ho_unfolding_8 with 240s (1) cores
3.85/1.27	# Starting new_ho_10_cnf2 with 240s (1) cores
3.85/1.27	# Starting new_bool_3 with 240s (1) cores
3.85/1.27	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
3.85/1.27	# Search class: HGHSM-FSLM32-MHFMMSBN
3.85/1.27	# Scheduled 9 strats onto 1 cores with 240 seconds (240 total)
3.85/1.27	# Starting ho_unfolding_8 with 49s (1) cores
3.85/1.27	# ho_unfolding_8 with pid 4417 completed with status 0
3.85/1.27	# Result found by ho_unfolding_8
3.85/1.27	# Preprocessing class: HSLMSLSSLLLCHFA.
3.85/1.27	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
3.85/1.27	# Starting ehoh_best5 with 240s (1) cores
3.85/1.27	# Starting almost_fo_3_lam with 240s (1) cores
3.85/1.27	# Starting new_bool_5 with 240s (1) cores
3.85/1.27	# Starting pre_casc_3 with 240s (1) cores
3.85/1.27	# Starting ho_unfolding_8 with 240s (1) cores
3.85/1.27	# Starting new_ho_10_cnf2 with 240s (1) cores
3.85/1.27	# Starting new_bool_3 with 240s (1) cores
3.85/1.27	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
3.85/1.27	# Search class: HGHSM-FSLM32-MHFMMSBN
3.85/1.27	# Scheduled 9 strats onto 1 cores with 240 seconds (240 total)
3.85/1.27	# Starting ho_unfolding_8 with 49s (1) cores
3.85/1.27	# Preprocessing time       : 0.102 s
3.85/1.27	# Presaturation interreduction done
3.85/1.27	
3.85/1.27	# Proof found!
3.85/1.27	# SZS status Theorem
3.85/1.27	# SZS output start CNFRefutation
3.85/1.27	thf(decl_23, type, in: $i > $i > $o).
3.85/1.27	thf(decl_24, type, exu: ($i > $o) > $o).
3.85/1.27	thf(decl_25, type, setextAx: $o).
3.85/1.27	thf(decl_26, type, emptyset: $i).
3.85/1.27	thf(decl_27, type, emptysetAx: $o).
3.85/1.27	thf(decl_28, type, setadjoin: $i > $i > $i).
3.85/1.27	thf(decl_29, type, setadjoinAx: $o).
3.85/1.27	thf(decl_30, type, powerset: $i > $i).
3.85/1.27	thf(decl_31, type, powersetAx: $o).
3.85/1.27	thf(decl_32, type, setunion: $i > $i).
3.85/1.27	thf(decl_33, type, setunionAx: $o).
3.85/1.27	thf(decl_34, type, omega: $i).
3.85/1.27	thf(decl_35, type, omega0Ax: $o).
3.85/1.27	thf(decl_36, type, omegaSAx: $o).
3.85/1.27	thf(decl_37, type, omegaIndAx: $o).
3.85/1.27	thf(decl_38, type, replAx: $o).
3.85/1.27	thf(decl_39, type, foundationAx: $o).
3.85/1.27	thf(decl_40, type, wellorderingAx: $o).
3.85/1.27	thf(decl_41, type, descr: ($i > $o) > $i).
3.85/1.27	thf(decl_42, type, descrp: $o).
3.85/1.27	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_44, type, dsetconstrI: $o).
3.85/1.27	thf(decl_45, type, dsetconstrEL: $o).
3.85/1.27	thf(decl_46, type, dsetconstrER: $o).
3.85/1.27	thf(decl_47, type, exuE1: $o).
3.85/1.27	thf(decl_48, type, prop2set: $o > $i).
3.85/1.27	thf(decl_49, type, prop2setE: $o).
3.85/1.27	thf(decl_50, type, emptysetE: $o).
3.85/1.27	thf(decl_51, type, emptysetimpfalse: $o).
3.85/1.27	thf(decl_52, type, notinemptyset: $o).
3.85/1.27	thf(decl_53, type, exuE3e: $o).
3.85/1.27	thf(decl_54, type, setext: $o).
3.85/1.27	thf(decl_55, type, emptyI: $o).
3.85/1.27	thf(decl_56, type, noeltsimpempty: $o).
3.85/1.27	thf(decl_57, type, setbeta: $o).
3.85/1.27	thf(decl_58, type, nonempty: $i > $o).
3.85/1.27	thf(decl_59, type, nonemptyE1: $o).
3.85/1.27	thf(decl_60, type, nonemptyI: $o).
3.85/1.27	thf(decl_61, type, nonemptyI1: $o).
3.85/1.27	thf(decl_62, type, setadjoinIL: $o).
3.85/1.27	thf(decl_63, type, emptyinunitempty: $o).
3.85/1.27	thf(decl_64, type, setadjoinIR: $o).
3.85/1.27	thf(decl_65, type, setadjoinE: $o).
3.85/1.27	thf(decl_66, type, setadjoinOr: $o).
3.85/1.27	thf(decl_67, type, setoftrueEq: $o).
3.85/1.27	thf(decl_68, type, powersetI: $o).
3.85/1.27	thf(decl_69, type, emptyinPowerset: $o).
3.85/1.27	thf(decl_70, type, emptyInPowerset: $o).
3.85/1.27	thf(decl_71, type, powersetE: $o).
3.85/1.27	thf(decl_72, type, setunionI: $o).
3.85/1.27	thf(decl_73, type, setunionE: $o).
3.85/1.27	thf(decl_74, type, subPowSU: $o).
3.85/1.27	thf(decl_75, type, exuE2: $o).
3.85/1.27	thf(decl_76, type, nonemptyImpWitness: $o).
3.85/1.27	thf(decl_77, type, uniqinunit: $o).
3.85/1.27	thf(decl_78, type, notinsingleton: $o).
3.85/1.27	thf(decl_79, type, eqinunit: $o).
3.85/1.27	thf(decl_80, type, singletonsswitch: $o).
3.85/1.27	thf(decl_81, type, upairsetE: $o).
3.85/1.27	thf(decl_82, type, upairsetIL: $o).
3.85/1.27	thf(decl_83, type, upairsetIR: $o).
3.85/1.27	thf(decl_84, type, emptyE1: $o).
3.85/1.27	thf(decl_85, type, vacuousDall: $o).
3.85/1.27	thf(decl_86, type, quantDeMorgan1: $o).
3.85/1.27	thf(decl_87, type, quantDeMorgan2: $o).
3.85/1.27	thf(decl_88, type, quantDeMorgan3: $o).
3.85/1.27	thf(decl_89, type, quantDeMorgan4: $o).
3.85/1.27	thf(decl_90, type, prop2setI: $o).
3.85/1.27	thf(decl_92, type, prop2set2propI: $o).
3.85/1.27	thf(decl_93, type, notdexE: $o).
3.85/1.27	thf(decl_94, type, notdallE: $o).
3.85/1.27	thf(decl_95, type, exuI1: $o).
3.85/1.27	thf(decl_96, type, exuI3: $o).
3.85/1.27	thf(decl_97, type, exuI2: $o).
3.85/1.27	thf(decl_98, type, inCongP: $o).
3.85/1.27	thf(decl_99, type, in__Cong: $o).
3.85/1.27	thf(decl_100, type, exuE3u: $o).
3.85/1.27	thf(decl_101, type, exu__Cong: $o).
3.85/1.27	thf(decl_102, type, emptyset__Cong: $o).
3.85/1.27	thf(decl_103, type, setadjoin__Cong: $o).
3.85/1.27	thf(decl_104, type, powerset__Cong: $o).
3.85/1.27	thf(decl_105, type, setunion__Cong: $o).
3.85/1.27	thf(decl_106, type, omega__Cong: $o).
3.85/1.27	thf(decl_107, type, exuEu: $o).
3.85/1.27	thf(decl_108, type, descr__Cong: $o).
3.85/1.27	thf(decl_109, type, dsetconstr__Cong: $o).
3.85/1.27	thf(decl_110, type, subset: $i > $i > $o).
3.85/1.27	thf(decl_113, type, subsetI1: $o).
3.85/1.27	thf(decl_114, type, eqimpsubset2: $o).
3.85/1.27	thf(decl_115, type, eqimpsubset1: $o).
3.85/1.27	thf(decl_116, type, subsetI2: $o).
3.85/1.27	thf(decl_117, type, emptysetsubset: $o).
3.85/1.27	thf(decl_118, type, subsetE: $o).
3.85/1.27	thf(decl_119, type, subsetE2: $o).
3.85/1.27	thf(decl_120, type, notsubsetI: $o).
3.85/1.27	thf(decl_121, type, notequalI1: $o).
3.85/1.27	thf(decl_122, type, notequalI2: $o).
3.85/1.27	thf(decl_123, type, subsetRefl: $o).
3.85/1.27	thf(decl_124, type, subsetTrans: $o).
3.85/1.27	thf(decl_125, type, setadjoinSub: $o).
3.85/1.27	thf(decl_126, type, setadjoinSub2: $o).
3.85/1.27	thf(decl_127, type, subset2powerset: $o).
3.85/1.27	thf(decl_128, type, setextsub: $o).
3.85/1.27	thf(decl_129, type, subsetemptysetimpeq: $o).
3.85/1.27	thf(decl_130, type, powersetI1: $o).
3.85/1.27	thf(decl_131, type, powersetE1: $o).
3.85/1.27	thf(decl_132, type, inPowerset: $o).
3.85/1.27	thf(decl_133, type, powersetsubset: $o).
3.85/1.27	thf(decl_134, type, sepInPowerset: $o).
3.85/1.27	thf(decl_135, type, sepSubset: $o).
3.85/1.27	thf(decl_136, type, binunion: $i > $i > $i).
3.85/1.27	thf(decl_137, type, binunionIL: $o).
3.85/1.27	thf(decl_138, type, upairset2IR: $o).
3.85/1.27	thf(decl_139, type, binunionIR: $o).
3.85/1.27	thf(decl_140, type, binunionEcases: $o).
3.85/1.27	thf(decl_141, type, binunionE: $o).
3.85/1.27	thf(decl_142, type, binunionLsub: $o).
3.85/1.27	thf(decl_143, type, binunionRsub: $o).
3.85/1.27	thf(decl_144, type, binintersect: $i > $i > $i).
3.85/1.27	thf(decl_145, type, binintersectI: $o).
3.85/1.27	thf(decl_146, type, binintersectSubset5: $o).
3.85/1.27	thf(decl_147, type, binintersectEL: $o).
3.85/1.27	thf(decl_148, type, binintersectLsub: $o).
3.85/1.27	thf(decl_149, type, binintersectSubset2: $o).
3.85/1.27	thf(decl_150, type, binintersectSubset3: $o).
3.85/1.27	thf(decl_151, type, binintersectER: $o).
3.85/1.27	thf(decl_152, type, disjointsetsI1: $o).
3.85/1.27	thf(decl_153, type, binintersectRsub: $o).
3.85/1.27	thf(decl_154, type, binintersectSubset4: $o).
3.85/1.27	thf(decl_155, type, binintersectSubset1: $o).
3.85/1.27	thf(decl_156, type, bs114d: $o).
3.85/1.27	thf(decl_158, type, setminus: $i > $i > $i).
3.85/1.27	thf(decl_159, type, setminusI: $o).
3.85/1.27	thf(decl_160, type, setminusEL: $o).
3.85/1.27	thf(decl_161, type, setminusER: $o).
3.85/1.27	thf(decl_162, type, setminusSubset2: $o).
3.85/1.27	thf(decl_163, type, setminusERneg: $o).
3.85/1.27	thf(decl_164, type, setminusELneg: $o).
3.85/1.27	thf(decl_165, type, setminusILneg: $o).
3.85/1.27	thf(decl_166, type, setminusIRneg: $o).
3.85/1.27	thf(decl_167, type, setminusLsub: $o).
3.85/1.27	thf(decl_168, type, setminusSubset1: $o).
3.85/1.27	thf(decl_169, type, symdiff: $i > $i > $i).
3.85/1.27	thf(decl_170, type, symdiffE: $o).
3.85/1.27	thf(decl_171, type, symdiffI1: $o).
3.85/1.27	thf(decl_172, type, symdiffI2: $o).
3.85/1.27	thf(decl_173, type, symdiffIneg1: $o).
3.85/1.27	thf(decl_174, type, symdiffIneg2: $o).
3.85/1.27	thf(decl_175, type, iskpair: $i > $o).
3.85/1.27	thf(decl_176, type, secondinupair: $o).
3.85/1.27	thf(decl_177, type, setukpairIL: $o).
3.85/1.27	thf(decl_178, type, setukpairIR: $o).
3.85/1.27	thf(decl_179, type, kpairiskpair: $o).
3.85/1.27	thf(decl_180, type, kpair: $i > $i > $i).
3.85/1.27	thf(decl_181, type, kpairp: $o).
3.85/1.27	thf(decl_182, type, cartprod: $i > $i > $i).
3.85/1.27	thf(decl_183, type, singletonsubset: $o).
3.85/1.27	thf(decl_184, type, singletoninpowerset: $o).
3.85/1.27	thf(decl_185, type, singletoninpowunion: $o).
3.85/1.27	thf(decl_186, type, upairset2E: $o).
3.85/1.27	thf(decl_187, type, upairsubunion: $o).
3.85/1.27	thf(decl_188, type, upairinpowunion: $o).
3.85/1.27	thf(decl_189, type, ubforcartprodlem1: $o).
3.85/1.27	thf(decl_190, type, ubforcartprodlem2: $o).
3.85/1.27	thf(decl_191, type, ubforcartprodlem3: $o).
3.85/1.27	thf(decl_192, type, cartprodpairin: $o).
3.85/1.27	thf(decl_193, type, cartprodmempair1: $o).
3.85/1.27	thf(decl_194, type, cartprodmempair: $o).
3.85/1.27	thf(decl_195, type, setunionE2: $o).
3.85/1.27	thf(decl_196, type, setunionsingleton1: $o).
3.85/1.27	thf(decl_197, type, setunionsingleton2: $o).
3.85/1.27	thf(decl_198, type, setunionsingleton: $o).
3.85/1.27	thf(decl_199, type, singleton: $i > $o).
3.85/1.27	thf(decl_200, type, singletonprop: $o).
3.85/1.27	thf(decl_201, type, ex1: $i > ($i > $o) > $o).
3.85/1.27	thf(decl_202, type, ex1E1: $o).
3.85/1.27	thf(decl_203, type, ex1I: $o).
3.85/1.27	thf(decl_204, type, ex1I2: $o).
3.85/1.27	thf(decl_205, type, singletonsuniq: $o).
3.85/1.27	thf(decl_210, type, setukpairinjL1: $o).
3.85/1.27	thf(decl_211, type, kfstsingleton: $o).
3.85/1.27	thf(decl_212, type, theprop: $o).
3.85/1.27	thf(decl_213, type, kfst: $i > $i).
3.85/1.27	thf(decl_214, type, kfstpairEq: $o).
3.85/1.27	thf(decl_215, type, cartprodfstin: $o).
3.85/1.27	thf(decl_216, type, setukpairinjL2: $o).
3.85/1.27	thf(decl_217, type, setukpairinjL: $o).
3.85/1.27	thf(decl_218, type, setukpairinjR11: $o).
3.85/1.27	thf(decl_219, type, setukpairinjR12: $o).
3.85/1.27	thf(decl_220, type, setukpairinjR1: $o).
3.85/1.27	thf(decl_221, type, upairequniteq: $o).
3.85/1.27	thf(decl_222, type, setukpairinjR2: $o).
3.85/1.27	thf(decl_223, type, setukpairinjR: $o).
3.85/1.27	thf(decl_224, type, ksndsingleton: $o).
3.85/1.27	thf(decl_225, type, ksnd: $i > $i).
3.85/1.27	thf(decl_226, type, ksndpairEq: $o).
3.85/1.27	thf(decl_227, type, kpairsurjEq: $o).
3.85/1.27	thf(decl_228, type, cartprodsndin: $o).
3.85/1.27	thf(decl_229, type, cartprodpairmemEL: $o).
3.85/1.27	thf(decl_230, type, cartprodpairmemER: $o).
3.85/1.27	thf(decl_231, type, cartprodmempaircEq: $o).
3.85/1.27	thf(decl_232, type, cartprodfstpairEq: $o).
3.85/1.27	thf(decl_233, type, cartprodsndpairEq: $o).
3.85/1.27	thf(decl_234, type, cartprodpairsurjEq: $o).
3.85/1.27	thf(decl_235, type, breln: $i > $i > $i > $o).
3.85/1.27	thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
3.85/1.27	thf(decl_237, type, dpsetconstrI: $o).
3.85/1.27	thf(decl_238, type, dpsetconstrSub: $o).
3.85/1.27	thf(decl_239, type, setOfPairsIsBReln: $o).
3.85/1.27	thf(decl_240, type, dpsetconstrERa: $o).
3.85/1.27	thf(decl_241, type, dpsetconstrEL1: $o).
3.85/1.27	thf(decl_242, type, dpsetconstrEL2: $o).
3.85/1.27	thf(decl_243, type, dpsetconstrER: $o).
3.85/1.27	thf(decl_244, type, func: $i > $i > $i > $o).
3.85/1.27	thf(decl_245, type, funcSet: $i > $i > $i).
3.85/1.27	thf(decl_246, type, funcImageSingleton: $o).
3.85/1.27	thf(decl_247, type, apProp: $o).
3.85/1.27	thf(decl_248, type, ap: $i > $i > $i > $i > $i).
3.85/1.27	thf(decl_249, type, app: $o).
3.85/1.27	thf(decl_250, type, infuncsetfunc: $o).
3.85/1.27	thf(decl_251, type, ap2p: $o).
3.85/1.27	thf(decl_252, type, funcinfuncset: $o).
3.85/1.27	thf(decl_253, type, lamProp: $o).
3.85/1.27	thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
3.85/1.27	thf(decl_255, type, lamp: $o).
3.85/1.27	thf(decl_256, type, lam2p: $o).
3.85/1.27	thf(decl_257, type, brelnall1: $o).
3.85/1.27	thf(decl_258, type, brelnall2: $o).
3.85/1.27	thf(decl_259, type, ex1E2: $o).
3.85/1.27	thf(decl_260, type, funcGraphProp1: $o).
3.85/1.27	thf(decl_261, type, funcGraphProp3: $o).
3.85/1.27	thf(decl_262, type, funcGraphProp2: $o).
3.85/1.27	thf(decl_263, type, funcextLem: $o).
3.85/1.27	thf(decl_264, type, funcGraphProp4: $o).
3.85/1.27	thf(decl_265, type, subbreln: $o).
3.85/1.27	thf(decl_266, type, eqbreln: $o).
3.85/1.27	thf(decl_267, type, funcext: $o).
3.85/1.27	thf(decl_268, type, funcext2: $o).
3.85/1.27	thf(decl_269, type, ap2apEq1: $o).
3.85/1.27	thf(decl_270, type, ap2apEq2: $o).
3.85/1.27	thf(decl_271, type, beta1: $o).
3.85/1.27	thf(decl_272, type, eta1: $o).
3.85/1.27	thf(decl_273, type, lam2lamEq: $o).
3.85/1.27	thf(decl_274, type, beta2: $o).
3.85/1.27	thf(decl_275, type, eta2: $o).
3.85/1.27	thf(decl_276, type, iffalseProp1: $o).
3.85/1.27	thf(decl_277, type, iffalseProp2: $o).
3.85/1.27	thf(decl_278, type, iftrueProp1: $o).
3.85/1.27	thf(decl_279, type, iftrueProp2: $o).
3.85/1.27	thf(decl_280, type, ifSingleton: $o).
3.85/1.27	thf(decl_281, type, if: $i > $o > $i > $i > $i).
3.85/1.27	thf(decl_282, type, ifp: $o).
3.85/1.27	thf(decl_283, type, theeq: $o).
3.85/1.27	thf(decl_284, type, iftrue: $o).
3.85/1.27	thf(decl_285, type, iffalse: $o).
3.85/1.27	thf(decl_286, type, iftrueorfalse: $o).
3.85/1.27	thf(decl_287, type, binintersectT_lem: $o).
3.85/1.27	thf(decl_288, type, binunionT_lem: $o).
3.85/1.27	thf(decl_289, type, powersetT_lem: $o).
3.85/1.27	thf(decl_290, type, setminusT_lem: $o).
3.85/1.27	thf(decl_291, type, complementT_lem: $o).
3.85/1.27	thf(decl_292, type, setextT: $o).
3.85/1.27	thf(decl_293, type, subsetTI: $o).
3.85/1.27	thf(decl_294, type, powersetTI1: $o).
3.85/1.27	thf(decl_295, type, powersetTE1: $o).
3.85/1.27	thf(decl_296, type, complementTI1: $o).
3.85/1.27	thf(decl_297, type, complementTE1: $o).
3.85/1.27	thf(decl_298, type, binintersectTELcontra: $o).
3.85/1.27	thf(decl_299, type, binintersectTERcontra: $o).
3.85/1.27	thf(decl_300, type, contrasubsetT: $o).
3.85/1.27	thf(decl_301, type, contrasubsetT1: $o).
3.85/1.27	thf(decl_302, type, contrasubsetT2: $o).
3.85/1.27	thf(decl_303, type, contrasubsetT3: $o).
3.85/1.27	thf(decl_304, type, doubleComplementI1: $o).
3.85/1.27	thf(decl_305, type, doubleComplementE1: $o).
3.85/1.27	thf(decl_306, type, doubleComplementSub1: $o).
3.85/1.27	thf(decl_307, type, doubleComplementSub2: $o).
3.85/1.27	thf(decl_308, type, doubleComplementEq: $o).
3.85/1.27	thf(decl_309, type, complementTnotintersectT: $o).
3.85/1.27	thf(decl_310, type, complementImpComplementIntersect: $o).
3.85/1.27	thf(decl_311, type, complementSubsetComplementIntersect: $o).
3.85/1.27	thf(decl_312, type, complementInPowersetComplementIntersect: $o).
3.85/1.27	thf(decl_313, type, contraSubsetComplement: $o).
3.85/1.27	thf(decl_314, type, complementTcontraSubset: $o).
3.85/1.27	thf(decl_315, type, binunionTILcontra: $o).
3.85/1.27	thf(decl_316, type, binunionTIRcontra: $o).
3.85/1.27	thf(decl_317, type, inIntersectImpInUnion: $o).
3.85/1.27	thf(decl_318, type, inIntersectImpInUnion2: $o).
3.85/1.27	thf(decl_319, type, inIntersectImpInIntersectUnions: $o).
3.85/1.27	thf(decl_320, type, intersectInPowersetIntersectUnions: $o).
3.85/1.27	thf(decl_321, type, inComplementUnionImpNotIn1: $o).
3.85/1.27	thf(decl_322, type, inComplementUnionImpInComplement1: $o).
3.85/1.27	thf(decl_323, type, binunionTE: $o).
3.85/1.27	thf(decl_324, type, binunionTEcontra: $o).
3.85/1.27	thf(decl_325, type, demorgan2a1: $o).
3.85/1.27	thf(decl_326, type, complementUnionInPowersetComplement: $o).
3.85/1.27	thf(decl_327, type, demorgan2a2: $o).
3.85/1.27	thf(decl_328, type, epred1_0: $o).
3.85/1.27	thf(decl_329, type, esk1_2: $i > $i > $i).
3.85/1.27	thf(decl_330, type, esk2_2: $i > $i > $i).
3.85/1.27	thf(decl_331, type, esk3_2: $i > $i > $i).
3.85/1.27	thf(decl_332, type, esk4_1: $i > $i).
3.85/1.27	thf(decl_333, type, esk5_2: ($i > $i > $o) > $i > $i).
3.85/1.27	thf(decl_334, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
3.85/1.27	thf(decl_335, type, esk7_2: ($i > $i > $o) > $i > $i).
3.85/1.27	thf(decl_336, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
3.85/1.27	thf(decl_337, type, esk9_1: $i > $i).
3.85/1.27	thf(decl_338, type, esk10_2: ($i > $o) > $i > $i).
3.85/1.27	thf(decl_339, type, esk11_2: ($i > $o) > $i > $i).
3.85/1.27	thf(decl_340, type, esk12_1: ($i > $o) > $i).
3.85/1.27	thf(decl_341, type, esk13_2: ($i > $o) > $i > $i).
3.85/1.27	thf(decl_342, type, esk14_1: ($i > $o) > $i).
3.85/1.27	thf(decl_343, type, esk15_2: $i > $i > $i).
3.85/1.27	thf(decl_344, type, esk16_2: $i > $i > $i).
3.85/1.27	thf(decl_345, type, esk17_1: $i > $i).
3.85/1.27	thf(decl_346, type, esk18_1: $i > $i).
3.85/1.27	thf(decl_347, type, esk19_1: $i > $i).
3.85/1.27	thf(decl_348, type, esk20_2: $i > $i > $i).
3.85/1.27	thf(decl_349, type, esk21_3: $i > $i > $o > $i).
3.85/1.27	thf(decl_350, type, esk22_2: ($i > $o) > $i > $i).
3.85/1.27	thf(decl_351, type, esk23_1: ($i > $o) > $i).
3.85/1.27	thf(decl_352, type, esk24_1: $i > $i).
3.85/1.27	thf(decl_353, type, esk25_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_354, type, esk26_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_355, type, esk27_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_356, type, esk28_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_357, type, esk29_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_358, type, esk30_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_359, type, esk31_2: ($i > $o) > $i > $i).
3.85/1.27	thf(decl_360, type, esk32_1: ($i > $o) > $i).
3.85/1.27	thf(decl_361, type, esk33_1: ($i > $o) > $i).
3.85/1.27	thf(decl_362, type, esk34_1: ($i > $o) > $i).
3.85/1.27	thf(decl_363, type, esk35_1: ($i > $o) > $i).
3.85/1.27	thf(decl_364, type, esk36_2: ($i > $o) > $i > $i).
3.85/1.27	thf(decl_365, type, esk37_1: ($i > $o) > $i).
3.85/1.27	thf(decl_366, type, esk38_2: ($i > $o) > $i > $i).
3.85/1.27	thf(decl_367, type, esk39_2: ($i > $o) > ($i > $o) > $i).
3.85/1.27	thf(decl_368, type, esk40_2: ($i > $o) > ($i > $o) > $i).
3.85/1.27	thf(decl_369, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
3.85/1.27	thf(decl_370, type, esk42_2: ($i > $o) > ($i > $o) > $i).
3.85/1.27	thf(decl_371, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
3.85/1.27	thf(decl_372, type, esk44_2: ($i > $o) > ($i > $o) > $i).
3.85/1.27	thf(decl_373, type, esk45_2: ($i > $o) > $i > $i).
3.85/1.27	thf(decl_374, type, esk46_2: ($i > $o) > ($i > $o) > $i).
3.85/1.27	thf(decl_375, type, esk47_2: ($i > $o) > ($i > $o) > $i).
3.85/1.27	thf(decl_376, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
3.85/1.27	thf(decl_377, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
3.85/1.27	thf(decl_378, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
3.85/1.27	thf(decl_379, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
3.85/1.27	thf(decl_380, type, esk52_2: $i > $i > $i).
3.85/1.27	thf(decl_381, type, esk53_2: $i > $i > $i).
3.85/1.27	thf(decl_382, type, esk54_2: $i > $i > $i).
3.85/1.27	thf(decl_383, type, esk55_3: $i > $i > $i > $i).
3.85/1.27	thf(decl_384, type, esk56_3: $i > $i > $i > $i).
3.85/1.27	thf(decl_385, type, esk57_2: $i > $i > $i).
3.85/1.27	thf(decl_386, type, esk58_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_387, type, esk59_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_388, type, esk60_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_389, type, esk61_3: $i > ($i > $o) > $i > $i).
3.85/1.27	thf(decl_390, type, esk62_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_391, type, esk63_2: $i > ($i > $o) > $i).
3.85/1.27	thf(decl_392, type, esk64_3: $i > $i > ($i > $i) > $i).
3.85/1.27	thf(decl_393, type, esk65_3: $i > $i > ($i > $i) > $i).
3.85/1.27	thf(decl_394, type, esk66_3: $i > $i > ($i > $i) > $i).
3.85/1.27	thf(decl_395, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
3.85/1.27	thf(decl_396, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
3.85/1.27	thf(decl_397, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
3.85/1.27	thf(decl_398, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
3.85/1.27	thf(decl_399, type, esk71_4: $i > $i > $i > $i > $i).
3.85/1.27	thf(decl_400, type, esk72_4: $i > $i > $i > $i > $i).
3.85/1.27	thf(decl_401, type, esk73_4: $i > $i > $i > $i > $i).
3.85/1.27	thf(decl_402, type, esk74_4: $i > $i > $i > $i > $i).
3.85/1.27	thf(decl_403, type, esk75_4: $i > $i > $i > $i > $i).
3.85/1.27	thf(decl_404, type, esk76_4: $i > $i > $i > $i > $i).
3.85/1.27	thf(decl_405, type, esk77_4: $i > $i > $i > $i > $i).
3.85/1.27	thf(decl_406, type, esk78_4: $i > $i > $i > $i > $i).
3.85/1.27	thf(decl_407, type, esk79_4: $i > $i > $i > $i > $i).
3.85/1.27	thf(decl_408, type, esk80_3: $i > $i > ($i > $i) > $i).
3.85/1.27	thf(decl_409, type, esk81_3: $i > $i > ($i > $i) > $i).
3.85/1.27	thf(decl_410, type, esk82_3: $i > $i > ($i > $i) > $i).
3.85/1.27	thf(decl_411, type, esk83_3: $i > $i > $i > $i).
3.85/1.27	thf(decl_412, type, esk84_3: $i > $i > $i > $i).
3.85/1.27	thf(decl_413, type, esk85_3: $i > $i > $i > $i).
3.85/1.27	thf(decl_414, type, esk86_3: $i > $i > $i > $i).
3.85/1.27	thf(decl_415, type, esk87_0: $i).
3.85/1.27	thf(decl_416, type, esk88_0: $i).
3.85/1.27	thf(decl_417, type, esk89_0: $i).
3.85/1.27	thf(decl_418, type, esk90_0: $i).
3.85/1.27	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ex1I2)).
3.85/1.27	thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ex1)).
3.85/1.27	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', exuE3u)).
3.85/1.27	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', exu)).
3.85/1.27	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', exuI2)).
3.85/1.27	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', exuI3)).
3.85/1.27	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', exuI1)).
3.85/1.27	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ex1E1)).
3.85/1.27	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', nonempty)).
3.85/1.27	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', exuE2)).
3.85/1.27	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ex1I)).
3.85/1.27	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', nonemptyI)).
3.85/1.27	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', exuE3e)).
3.85/1.27	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', descrp)).
3.85/1.27	thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', breln)).
3.85/1.27	thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ex1E2)).
3.85/1.27	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setOfPairsIsBReln)).
3.85/1.27	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', descr__Cong)).
3.85/1.27	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', exuEu)).
3.85/1.27	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', exu__Cong)).
3.85/1.27	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', exuE1)).
3.85/1.27	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', replAx)).
3.85/1.27	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', dsetconstr__Cong)).
3.85/1.27	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', singletonprop)).
3.85/1.27	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', nonemptyImpWitness)).
3.85/1.27	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', dpsetconstrEL1)).
3.85/1.27	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setbeta)).
3.85/1.27	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', dsetconstrEL)).
3.85/1.27	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', dsetconstrI)).
3.85/1.27	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ksndsingleton)).
3.85/1.27	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', dpsetconstrI)).
3.85/1.27	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', dpsetconstrERa)).
3.85/1.27	thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', apProp)).
3.85/1.27	thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', lamProp)).
3.85/1.27	thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', brelnall1)).
3.85/1.27	thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', brelnall2)).
3.85/1.27	thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subbreln)).
3.85/1.27	thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', beta1)).
3.85/1.27	thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', eta1)).
3.85/1.27	thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', eta2)).
3.85/1.27	thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X39)&((X14)=(X2)))|(~((X39))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', iffalseProp1)).
3.85/1.27	thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((X43)&((X14)=(X2)))|(~((X43))&((X14)=(X3))))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ifSingleton)).
3.85/1.27	thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((X42)&((X14)=(X2)))|(~((X42))&((X14)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', iftrueProp2)).
3.85/1.27	thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X41)&((X14)=(X2)))|(~((X41))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', iftrueProp1)).
3.85/1.27	thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((X40)&((X14)=(X2)))|(~((X40))&((X14)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', iffalseProp2)).
3.85/1.27	thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', beta2)).
3.85/1.27	thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', lam2lamEq)).
3.85/1.27	thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', eqbreln)).
3.85/1.27	thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', lam2p)).
3.85/1.27	thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', lamp)).
3.85/1.27	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', funcImageSingleton)).
3.85/1.27	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', dpsetconstrER)).
3.85/1.27	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', dpsetconstrEL2)).
3.85/1.27	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', dpsetconstrSub)).
3.85/1.27	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', kfstsingleton)).
3.85/1.27	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', sepSubset)).
3.85/1.27	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', sepInPowerset)).
3.85/1.27	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', emptyE1)).
3.85/1.27	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setoftrueEq)).
3.85/1.27	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', nonemptyI1)).
3.85/1.27	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', nonemptyE1)).
3.85/1.27	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', dsetconstrER)).
3.85/1.27	thf(demorgan1a, conjecture, (((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>(((omega0Ax)=>(((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>(((((dsetconstrER)=>((exuE1)=>((((emptysetimpfalse)=>((((((((nonemptyE1)=>(((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>(((setadjoinE)=>(((setoftrueEq)=>((((emptyInPowerset)=>((((setunionE)=>((((((notinsingleton)=>(((singletonsswitch)=>(((upairsetIL)=>(((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>(((notdallE)=>((((((in__Cong)=>(((exu__Cong)=>(((setadjoin__Cong)=>((powerset__Cong)=>(((omega__Cong)=>((exuEu)=>((descr__Cong)=>((((eqimpsubset2)=>((((emptysetsubset)=>(((subsetE2)=>((notsubsetI)=>(((notequalI2)=>((((setadjoinSub)=>(((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>(((powersetE1)=>(((powersetsubset)=>((((binunionIL)=>((upairset2IR)=>((binunionIR)=>((((((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>(((binintersectSubset3)=>((((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>(((((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>(((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>(((symdiffI2)=>(((symdiffIneg2)=>((secondinupair)=>(((((kpairp)=>((((singletoninpowunion)=>(((upairsubunion)=>((((ubforcartprodlem2)=>((ubforcartprodlem3)=>((((((setunionsingleton1)=>((((singletonprop)=>((ex1E1)=>((ex1I)=>((ex1I2)=>((singletonsuniq)=>((((theprop)=>((kfstpairEq)=>(((setukpairinjL2)=>(((setukpairinjR11)=>((setukpairinjR12)=>((((((ksndsingleton)=>((ksndpairEq)=>(((cartprodsndin)=>((cartprodpairmemEL)=>(((cartprodmempaircEq)=>(((cartprodsndpairEq)=>(((dpsetconstrI)=>((((dpsetconstrERa)=>((dpsetconstrEL1)=>(((((apProp)=>((app)=>((infuncsetfunc)=>(((funcinfuncset)=>((lamProp)=>((((brelnall1)=>((brelnall2)=>((((funcGraphProp3)=>((funcGraphProp2)=>(((funcGraphProp4)=>((subbreln)=>((((funcext2)=>((((beta1)=>((eta1)=>((((eta2)=>((iffalseProp1)=>((((((((iftrue)=>(((iftrueorfalse)=>(((binunionT_lem)=>((((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>(((contrasubsetT2)=>((((doubleComplementE1)=>((doubleComplementSub1)=>((((complementTnotintersectT)=>((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>(((contraSubsetComplement)=>(((binunionTILcontra)=>((((inIntersectImpInUnion2)=>(((((inComplementUnionImpInComplement1)=>((binunionTE)=>((((![X4:$i, X21:$i]:((![X48:$i]:((![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))<=(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))<=(in @ X48 @ (powerset @ X4))))<=(in @ X21 @ (powerset @ X4))))<=(demorgan2a2))<=(complementUnionInPowersetComplement))<=(demorgan2a1))<=(binunionTEcontra))))<=(inComplementUnionImpNotIn1))<=(intersectInPowersetIntersectUnions))<=(inIntersectImpInIntersectUnions)))<=(inIntersectImpInUnion))<=(binunionTIRcontra)))<=(complementTcontraSubset)))<=(complementInPowersetComplementIntersect)))))<=(doubleComplementEq))<=(doubleComplementSub2))))<=(doubleComplementI1))<=(contrasubsetT3)))<=(contrasubsetT1)))))<=(complementTE1))<=(complementTI1)))))))<=(setminusT_lem))<=(powersetT_lem)))<=(binintersectT_lem)))<=(iffalse)))<=(theeq))<=(ifp))<=(ifSingleton))<=(iftrueProp2))<=(iftrueProp1))<=(iffalseProp2))))<=(beta2))<=(lam2lamEq))))<=(ap2apEq2))<=(ap2apEq1)))<=(funcext))<=(eqbreln))))<=(funcextLem))))<=(funcGraphProp1))<=(ex1E2))))<=(lam2p))<=(lamp))))<=(ap2p)))))<=(funcImageSingleton))<=(dpsetconstrER))<=(dpsetconstrEL2))))<=(setOfPairsIsBReln))<=(dpsetconstrSub)))<=(cartprodpairsurjEq)))<=(cartprodfstpairEq)))<=(cartprodpairmemER))))<=(kpairsurjEq))))<=(setukpairinjR))<=(setukpairinjR2))<=(upairequniteq))<=(setukpairinjR1))))<=(setukpairinjL)))<=(cartprodfstin))))<=(kfstsingleton))<=(setukpairinjL1)))))))<=(setunionsingleton))<=(setunionsingleton2)))<=(setunionE2))<=(cartprodmempair))<=(cartprodmempair1))<=(cartprodpairin))))<=(ubforcartprodlem1))<=(upairinpowunion)))<=(upairset2E)))<=(singletoninpowerset))<=(singletonsubset)))<=(kpairiskpair))<=(setukpairIR))<=(setukpairIL))))<=(symdiffIneg1)))<=(symdiffI1)))))<=(setminusIRneg)))))<=(setminusSubset2))<=(setminusER))<=(setminusEL)))))))<=(disjointsetsI1))<=(binintersectER)))<=(binintersectSubset2))))))<=(binunionRsub))<=(binunionLsub))<=(binunionE))<=(binunionEcases)))))<=(sepSubset))<=(sepInPowerset)))<=(inPowerset)))<=(powersetI1)))))<=(setadjoinSub2)))<=(subsetTrans))<=(subsetRefl)))<=(notequalI1))))<=(subsetE)))<=(subsetI2))<=(eqimpsubset1)))<=(subsetI1))<=(dsetconstr__Cong)))))<=(setunion__Cong))))<=(emptyset__Cong)))<=(exuE3u)))<=(inCongP))<=(exuI2))<=(exuI3))<=(exuI1)))<=(notdexE))))))))))<=(upairsetIR)))<=(upairsetE)))<=(eqinunit)))<=(uniqinunit))<=(nonemptyImpWitness))<=(exuE2))<=(subPowSU)))<=(setunionI))<=(powersetE)))<=(emptyinPowerset))<=(powersetI)))<=(setadjoinOr)))<=(setadjoinIR)))))<=(nonemptyI)))<=(setbeta))<=(noeltsimpempty))<=(emptyI))<=(setext))<=(exuE3e))<=(notinemptyset)))<=(emptysetE))<=(prop2setE))))<=(dsetconstrEL))<=(dsetconstrI))<=(descrp))))))<=(omegaSAx)))<=(setunionAx)))))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', demorgan1a)).
3.85/1.27	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setextAx)).
3.85/1.27	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setunion__Cong)).
3.85/1.27	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', emptyset__Cong)).
3.85/1.27	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ubforcartprodlem2)).
3.85/1.27	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', inCongP)).
3.85/1.27	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ubforcartprodlem3)).
3.85/1.27	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setunionsingleton1)).
3.85/1.27	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', notdexE)).
3.85/1.27	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', upairsetIR)).
3.85/1.27	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', upairsetE)).
3.85/1.27	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', eqinunit)).
3.85/1.27	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', uniqinunit)).
3.85/1.27	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', secondinupair)).
3.85/1.27	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subPowSU)).
3.85/1.27	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setunionI)).
3.85/1.27	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', powersetE)).
3.85/1.27	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', emptyinPowerset)).
3.85/1.27	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', powersetI)).
3.85/1.27	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setadjoinOr)).
3.85/1.27	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', kpairp)).
3.85/1.27	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setadjoinIR)).
3.85/1.27	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', singletonsuniq)).
3.85/1.27	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', noeltsimpempty)).
3.85/1.27	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', emptyI)).
3.85/1.27	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', theprop)).
3.85/1.27	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setext)).
3.85/1.27	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', kfstpairEq)).
3.85/1.27	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', notinemptyset)).
3.85/1.27	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', emptysetE)).
3.85/1.27	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', prop2setE)).
3.85/1.27	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setukpairinjL2)).
3.85/1.27	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setukpairinjR11)).
3.85/1.27	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', omegaSAx)).
3.85/1.27	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setunionAx)).
3.85/1.27	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setukpairinjR12)).
3.85/1.27	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ksndpairEq)).
3.85/1.27	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', singletoninpowunion)).
3.85/1.27	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodsndin)).
3.85/1.27	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodpairmemEL)).
3.85/1.27	thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodmempaircEq)).
3.85/1.27	thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodsndpairEq)).
3.85/1.27	thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', complementImpComplementIntersect)).
3.85/1.27	thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', complementSubsetComplementIntersect)).
3.85/1.27	thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', app)).
3.85/1.27	thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', infuncsetfunc)).
3.85/1.27	thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', funcinfuncset)).
3.85/1.27	thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', funcGraphProp3)).
3.85/1.27	thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', funcGraphProp2)).
3.85/1.27	thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', funcGraphProp4)).
3.85/1.27	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', upairsubunion)).
3.85/1.27	thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', funcext2)).
3.85/1.27	thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', iftrue)).
3.85/1.27	thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', iftrueorfalse)).
3.85/1.27	thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionT_lem)).
3.85/1.27	thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', complementT_lem)).
3.85/1.27	thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setextT)).
3.85/1.27	thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subsetTI)).
3.85/1.27	thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', powersetTI1)).
3.85/1.27	thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', powersetTE1)).
3.85/1.27	thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectTELcontra)).
3.85/1.27	thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectTERcontra)).
3.85/1.27	thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', contrasubsetT)).
3.85/1.27	thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', contrasubsetT2)).
3.85/1.27	thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', doubleComplementE1)).
3.85/1.27	thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', doubleComplementSub1)).
3.85/1.27	thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', complementTnotintersectT)).
3.85/1.27	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subsetI2)).
3.85/1.27	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', eqimpsubset1)).
3.85/1.27	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subsetI1)).
3.85/1.27	thf(contraSubsetComplement, axiom, ((contraSubsetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ (setminus @ X4 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', contraSubsetComplement)).
3.85/1.27	thf(binunionTILcontra, axiom, ((binunionTILcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionTILcontra)).
3.85/1.27	thf(inIntersectImpInUnion2, axiom, ((inIntersectImpInUnion2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X48 @ X49)))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', inIntersectImpInUnion2)).
3.85/1.27	thf(inComplementUnionImpInComplement1, axiom, ((inComplementUnionImpInComplement1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', inComplementUnionImpInComplement1)).
3.85/1.27	thf(binunionTE, axiom, ((binunionTE)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X50:$o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ X21 @ X48))=>(((in @ X2 @ X21)=>(X50))=>(((in @ X2 @ X48)=>(X50))=>(X50))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionTE)).
3.85/1.27	thf(demorgan2a2, axiom, ((demorgan2a2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', demorgan2a2)).
3.85/1.27	thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', complementUnionInPowersetComplement)).
3.85/1.27	thf(demorgan2a1, axiom, ((demorgan2a1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', demorgan2a1)).
3.85/1.27	thf(binunionTEcontra, axiom, ((binunionTEcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionTEcontra)).
3.85/1.27	thf(inComplementUnionImpNotIn1, axiom, ((inComplementUnionImpNotIn1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', inComplementUnionImpNotIn1)).
3.85/1.27	thf(intersectInPowersetIntersectUnions, axiom, ((intersectInPowersetIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', intersectInPowersetIntersectUnions)).
3.85/1.27	thf(inIntersectImpInIntersectUnions, axiom, ((inIntersectImpInIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', inIntersectImpInIntersectUnions)).
3.85/1.27	thf(inIntersectImpInUnion, axiom, ((inIntersectImpInUnion)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X21 @ X49)))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', inIntersectImpInUnion)).
3.85/1.27	thf(binunionTIRcontra, axiom, ((binunionTIRcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionTIRcontra)).
3.85/1.27	thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', complementTcontraSubset)).
3.85/1.27	thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', complementInPowersetComplementIntersect)).
3.85/1.27	thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', doubleComplementEq)).
3.85/1.27	thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', doubleComplementSub2)).
3.85/1.27	thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', doubleComplementI1)).
3.85/1.27	thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', contrasubsetT3)).
3.85/1.27	thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', contrasubsetT1)).
3.85/1.27	thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', complementTE1)).
3.85/1.27	thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', complementTI1)).
3.85/1.27	thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusT_lem)).
3.85/1.27	thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', powersetT_lem)).
3.85/1.27	thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectT_lem)).
3.85/1.27	thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', iffalse)).
3.85/1.27	thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', theeq)).
3.85/1.27	thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ifp)).
3.85/1.27	thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ap2apEq2)).
3.85/1.27	thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ap2apEq1)).
3.85/1.27	thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', funcext)).
3.85/1.27	thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', funcextLem)).
3.85/1.28	thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', funcGraphProp1)).
3.85/1.28	thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ap2p)).
3.85/1.28	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodpairsurjEq)).
3.85/1.28	thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodfstpairEq)).
3.85/1.28	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodpairmemER)).
3.85/1.28	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', kpairsurjEq)).
3.85/1.28	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setukpairinjR)).
3.85/1.28	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setukpairinjR2)).
3.85/1.28	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', upairequniteq)).
3.85/1.28	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setukpairinjR1)).
3.85/1.28	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setukpairinjL)).
3.85/1.28	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodfstin)).
3.85/1.28	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setukpairinjL1)).
3.85/1.28	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setunionsingleton)).
3.85/1.28	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setunionsingleton2)).
3.85/1.28	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setunionE2)).
3.85/1.28	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodmempair)).
3.85/1.28	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodmempair1)).
3.85/1.28	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', cartprodpairin)).
3.85/1.28	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', ubforcartprodlem1)).
3.85/1.28	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', upairinpowunion)).
3.85/1.28	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', upairset2E)).
3.85/1.28	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', singletoninpowerset)).
3.85/1.28	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', singletonsubset)).
3.85/1.28	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', kpairiskpair)).
3.85/1.28	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setukpairIR)).
3.85/1.28	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setukpairIL)).
3.85/1.28	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', symdiffIneg1)).
3.85/1.28	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', symdiffI1)).
3.85/1.28	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusIRneg)).
3.85/1.28	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusSubset2)).
3.85/1.28	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusER)).
3.85/1.28	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusEL)).
3.85/1.28	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', disjointsetsI1)).
3.85/1.28	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectER)).
3.85/1.28	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectSubset2)).
3.85/1.28	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionRsub)).
3.85/1.28	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionLsub)).
3.85/1.28	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionE)).
3.85/1.28	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionEcases)).
3.85/1.28	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', inPowerset)).
3.85/1.28	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', powersetI1)).
3.85/1.28	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setadjoinSub2)).
3.85/1.28	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subsetTrans)).
3.85/1.28	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subsetRefl)).
3.85/1.28	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', notequalI1)).
3.85/1.28	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subsetE)).
3.85/1.28	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', symdiffIneg2)).
3.85/1.28	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', symdiffI2)).
3.85/1.28	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', symdiffE)).
3.85/1.28	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusSubset1)).
3.85/1.28	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusLsub)).
3.85/1.28	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusILneg)).
3.85/1.28	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusELneg)).
3.85/1.28	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusERneg)).
3.85/1.28	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setminusI)).
3.85/1.28	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', bs114d)).
3.85/1.28	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectSubset1)).
3.85/1.28	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectSubset4)).
3.85/1.28	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectRsub)).
3.85/1.28	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectSubset3)).
3.85/1.28	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectLsub)).
3.85/1.28	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectEL)).
3.85/1.28	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectSubset5)).
3.85/1.28	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binintersectI)).
3.85/1.28	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionIR)).
3.85/1.28	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', upairset2IR)).
3.85/1.28	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', binunionIL)).
3.85/1.28	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', powersetsubset)).
3.85/1.28	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', powersetE1)).
3.85/1.28	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subsetemptysetimpeq)).
3.85/1.28	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setextsub)).
3.85/1.28	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subset2powerset)).
3.85/1.28	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setadjoinSub)).
3.85/1.28	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', notequalI2)).
3.85/1.28	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', notsubsetI)).
3.85/1.28	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', subsetE2)).
3.85/1.28	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', emptysetsubset)).
3.85/1.28	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', eqimpsubset2)).
3.85/1.28	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', omega__Cong)).
3.85/1.28	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', powerset__Cong)).
3.85/1.28	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setadjoin__Cong)).
3.85/1.28	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', in__Cong)).
3.85/1.28	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', notdallE)).
3.85/1.28	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', prop2setI)).
3.85/1.28	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', quantDeMorgan4)).
3.85/1.28	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', quantDeMorgan3)).
3.85/1.28	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', quantDeMorgan2)).
3.85/1.28	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', quantDeMorgan1)).
3.85/1.28	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', vacuousDall)).
3.85/1.28	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', upairsetIL)).
3.85/1.28	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', singletonsswitch)).
3.85/1.28	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', notinsingleton)).
3.85/1.28	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setunionE)).
3.85/1.28	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', emptyInPowerset)).
3.85/1.28	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setadjoinE)).
3.85/1.28	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', emptyinunitempty)).
3.85/1.28	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setadjoinIL)).
3.85/1.28	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', emptysetimpfalse)).
3.85/1.28	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', wellorderingAx)).
3.85/1.28	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', foundationAx)).
3.85/1.28	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', omegaIndAx)).
3.85/1.28	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', omega0Ax)).
3.85/1.28	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', powersetAx)).
3.85/1.28	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', setadjoinAx)).
3.85/1.28	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.FxzrXawiwn/E---3.1_4329.p', emptysetAx)).
3.85/1.28	thf(c_0_271, 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/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
3.85/1.28	thf(c_0_272, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((singleton @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))))), inference(fof_simplification,[status(thm)],[ex1])).
3.85/1.28	thf(c_0_273, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
3.85/1.28	thf(c_0_274, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
3.85/1.28	thf(c_0_275, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
3.85/1.28	thf(c_0_276, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
3.85/1.28	thf(c_0_277, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
3.85/1.28	thf(c_0_278, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
3.85/1.28	thf(c_0_279, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
3.85/1.28	thf(c_0_280, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
3.85/1.28	thf(c_0_281, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
3.85/1.28	thf(c_0_282, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
3.85/1.28	thf(c_0_283, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
3.85/1.28	thf(c_0_284, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
3.85/1.28	thf(c_0_285, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
3.85/1.28	thf(c_0_286, plain, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[ex1E2])).
3.85/1.28	thf(c_0_287, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
3.85/1.28	thf(c_0_288, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
3.85/1.28	thf(c_0_289, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
3.85/1.28	thf(c_0_290, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
3.85/1.28	thf(c_0_291, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
3.85/1.28	thf(c_0_292, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
3.85/1.28	thf(c_0_293, plain, ((ex1I2)=(![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))))))))), inference(apply_def,[status(thm)],[c_0_271, c_0_272])).
3.85/1.28	thf(c_0_294, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
3.85/1.28	thf(c_0_295, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X912:$i]:((((X1 @ X912))&![X913:$i]:((((X1 @ X913))=>((X912)=(X913)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_273, c_0_274])).
3.85/1.28	thf(c_0_296, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X910:$i]:((((X1 @ X910))&![X911:$i]:((((X1 @ X911))=>((X910)=(X911))))))))))), inference(apply_def,[status(thm)],[c_0_275, c_0_274])).
3.85/1.28	thf(c_0_297, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X908:$i]:((((X1 @ X908))&![X909:$i]:((((X1 @ X909))=>((X908)=(X909)))))))))))), inference(apply_def,[status(thm)],[c_0_276, c_0_274])).
3.85/1.28	thf(c_0_298, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X906:$i]:((((X1 @ X906))&![X907:$i]:((((X1 @ X907))=>((X906)=(X907))))))))))), inference(apply_def,[status(thm)],[c_0_277, c_0_274])).
3.85/1.28	thf(c_0_299, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
3.85/1.28	thf(c_0_300, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_278, c_0_272])).
3.85/1.28	thf(c_0_301, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_279])).
3.85/1.28	thf(c_0_302, plain, ((exuE2)=(![X1:$i > $o]:(((?[X904:$i]:((((X1 @ X904))&![X905:$i]:((((X1 @ X905))=>((X904)=(X905)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_280, c_0_274])).
3.85/1.28	thf(c_0_303, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))))))))), inference(apply_def,[status(thm)],[c_0_281, c_0_272])).
3.85/1.28	thf(c_0_304, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
3.85/1.28	thf(c_0_305, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_282, c_0_279])).
3.85/1.28	thf(c_0_306, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
3.85/1.28	thf(c_0_307, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X902:$i]:((((X1 @ X902))&![X903:$i]:((((X1 @ X903))=>((X902)=(X903)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_283, c_0_274])).
3.85/1.28	thf(c_0_308, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
3.85/1.28	thf(c_0_309, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
3.85/1.28	thf(c_0_310, plain, ((descrp)=(![X1:$i > $o]:(((?[X898:$i]:((((X1 @ X898))&![X899:$i]:((((X1 @ X899))=>((X898)=(X899)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_284, c_0_274])).
3.85/1.28	thf(c_0_311, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
3.85/1.28	thf(c_0_312, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
3.85/1.28	thf(c_0_313, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
3.85/1.28	thf(c_0_314, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
3.85/1.28	thf(c_0_315, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
3.85/1.28	thf(c_0_316, axiom, ((brelnall1)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_285])).
3.85/1.28	thf(c_0_317, axiom, ((brelnall2)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_285])).
3.85/1.28	thf(c_0_318, axiom, ((subbreln)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X5)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35)))))))), inference(apply_def,[status(thm)],[subbreln, c_0_285])).
3.85/1.28	thf(c_0_319, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])).
3.85/1.28	thf(c_0_320, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0/* 248 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
3.85/1.28	thf(c_0_321, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0/* 248 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
3.85/1.28	thf(c_0_322, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X39)&((Z0)=(X2)))|(~((X39))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
3.85/1.28	thf(c_0_323, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X43)&((Z0)=(X2)))|(~((X43))&((Z0)=(X3))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
3.85/1.28	thf(c_0_324, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X42)&((Z0)=(X2)))|(~((X42))&((Z0)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
3.85/1.28	thf(c_0_325, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X41)&((Z0)=(X2)))|(~((X41))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
3.85/1.28	thf(c_0_326, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X40)&((Z0)=(X2)))|(~((X40))&((Z0)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
3.85/1.28	thf(c_0_327, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])).
3.85/1.28	thf(c_0_328, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])).
3.85/1.28	thf(c_0_329, axiom, ((eqbreln)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X5)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35)))))))))), inference(apply_def,[status(thm)],[eqbreln, c_0_285])).
3.85/1.28	thf(c_0_330, plain, ((ex1E2)=(![X4:$i, X1:$i > $o]:((((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_286, c_0_272])).
3.85/1.28	thf(c_0_331, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
3.85/1.28	thf(c_0_332, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
3.85/1.28	thf(c_0_333, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
3.85/1.28	thf(c_0_334, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
3.85/1.28	thf(c_0_335, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
3.85/1.28	thf(c_0_336, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_287, c_0_285])).
3.85/1.28	thf(c_0_337, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
3.85/1.28	thf(c_0_338, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
3.85/1.28	thf(c_0_339, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
3.85/1.28	thf(c_0_340, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
3.85/1.28	thf(c_0_341, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X920:$i]:((((X1 @ X920))&![X921:$i]:((((X1 @ X921))=>((X920)=(X921)))))))=>((?[X922:$i]:((((X17 @ X922))&![X923:$i]:((((X17 @ X923))=>((X922)=(X923)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_288, c_0_274])).
3.85/1.28	thf(c_0_342, plain, ((exuEu)=(![X1:$i > $o]:(((?[X918:$i]:((((X1 @ X918))&![X919:$i]:((((X1 @ X919))=>((X918)=(X919)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_289, c_0_274])).
3.85/1.28	thf(c_0_343, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X914:$i]:((((X1 @ X914))&![X915:$i]:((((X1 @ X915))=>((X914)=(X915)))))))<=>(?[X916:$i]:((((X17 @ X916))&![X917:$i]:((((X17 @ X917))=>((X916)=(X917)))))))))))), inference(apply_def,[status(thm)],[c_0_290, c_0_274])).
3.85/1.28	thf(c_0_344, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
3.85/1.28	thf(c_0_345, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
3.85/1.28	thf(c_0_346, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_279])).
3.85/1.28	thf(c_0_347, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_279])).
3.85/1.28	thf(c_0_348, plain, ((exuE1)=(![X1:$i > $o]:(((?[X900:$i]:((((X1 @ X900))&![X901:$i]:((((X1 @ X901))=>((X900)=(X901)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_291, c_0_274])).
3.85/1.28	thf(c_0_349, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
3.85/1.28	thf(c_0_350, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X896:$i]:((((X6 @ X2 @ X896))&![X897:$i]:((((X6 @ X2 @ X897))=>((X896)=(X897)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_292, c_0_274])).
3.85/1.28	thf(c_0_351, plain, ((epred1_0)<=>![X946:$i]:(?[X947:$i]:((((![X948:$i]:(((in @ X948 @ X947)=>![X949:$i]:(((in @ X949 @ X948)=>(in @ X949 @ X946)))))&![X950:$i, X951:$i]:((((in @ X950 @ X946)&(in @ X951 @ X946))=>(![X952:$i]:(((in @ X952 @ X947)=>((in @ X950 @ X952)<=>(in @ X951 @ X952))))=>((X950)=(X951))))))&![X953:$i, X954:$i]:((((in @ X953 @ X947)&(in @ X954 @ X947))=>(![X955:$i]:(((in @ X955 @ X953)=>(in @ X955 @ X954)))|![X956:$i]:(((in @ X956 @ X954)=>(in @ X956 @ X953)))))))&![X957:$i]:(((![X958:$i]:(((in @ X958 @ X957)=>(in @ X958 @ X946)))&?[X959:$i]:((in @ X959 @ X957)))=>?[X960:$i, X961:$i]:(((((in @ X960 @ X947)&(in @ X961 @ X957))&~(?[X962:$i]:(((in @ X962 @ X960)&(in @ X962 @ X957)))))&![X963:$i]:(((in @ X963 @ X947)=>(![X964:$i]:(((in @ X964 @ X963)=>(in @ X964 @ X960)))|(in @ X961 @ X963)))))))))))), introduced(definition)).
3.85/1.28	thf(c_0_352, negated_conjecture, ~((![X1790:$i, X1791:$i]:((![X1792:$i]:(((in @ X1792 @ X1790)<=>(in @ X1792 @ X1791)))=>((X1790)=(X1791))))=>(![X924:$i]:(~(in @ X924 @ emptyset))=>(![X925:$i, X926:$i, X927:$i]:(((in @ X927 @ (setadjoin @ X925 @ X926))<=>(((X927)=(X925))|(in @ X927 @ X926))))=>(![X928:$i, X929:$i]:(((in @ X929 @ (powerset @ X928))<=>![X930:$i]:(((in @ X930 @ X929)=>(in @ X930 @ X928)))))=>(![X1787:$i, X1788:$i]:(((in @ X1788 @ (setunion @ X1787))<=>?[X1789:$i]:(((in @ X1788 @ X1789)&(in @ X1789 @ X1787)))))=>((in @ emptyset @ omega)=>(![X1786:$i]:(((in @ X1786 @ omega)=>(in @ (setadjoin @ X1786 @ X1786) @ omega)))=>(![X931:$i]:((((in @ emptyset @ X931)&![X932:$i]:((((in @ X932 @ omega)&(in @ X932 @ X931))=>(in @ (setadjoin @ X932 @ X932) @ X931))))=>![X933:$i]:(((in @ X933 @ omega)=>(in @ X933 @ X931)))))=>(![X934:$i > $i > $o, X935:$i]:((![X936:$i]:(((in @ X936 @ X935)=>?[X937:$i]:(((X934 @ X936 @ X937)&![X938:$i]:(((X934 @ X936 @ X938)=>((X937)=(X938))))))))=>?[X939:$i]:(![X940:$i]:(((in @ X940 @ X939)<=>?[X941:$i]:(((in @ X941 @ X935)&(X934 @ X941 @ X940))))))))=>(![X942:$i]:((?[X943:$i]:((in @ X943 @ X942))=>?[X944:$i]:(((in @ X944 @ X942)&~(?[X945:$i]:(((in @ X945 @ X944)&(in @ X945 @ X942))))))))=>((epred1_0)=>(![X1783:$i > $o]:((?[X1784:$i]:(((X1783 @ X1784)&![X1785:$i]:(((X1783 @ X1785)=>((X1784)=(X1785))))))=>(X1783 @ (descr @ (^[Z0/* 17 */:$i]:(X1783 @ Z0))))))=>(![X1780:$i, X1781:$i > $o, X1782:$i]:(((in @ X1782 @ X1780)=>((X1781 @ X1782)=>(in @ X1782 @ (dsetconstr @ X1780 @ X1781)))))=>(![X1777:$i, X1778:$i > $o, X1779:$i]:(((in @ X1779 @ (dsetconstr @ X1777 @ X1778))=>(in @ X1779 @ X1777)))=>(![X965:$i, X966:$i > $o, X967:$i]:(((in @ X967 @ (dsetconstr @ X965 @ X966))=>(X966 @ X967)))=>(![X968:$i > $o]:((?[X969:$i]:(((X968 @ X969)&![X970:$i]:(((X968 @ X970)=>((X969)=(X970))))))=>?[X971:$i]:(((X968 @ X971)&![X972:$i]:(((X968 @ X972)=>((X971)=(X972))))))))=>(![X1775:$o, X1776:$i]:(((in @ X1776 @ (prop2set @ ((X1775))))=>(X1775)))=>(![X1773:$i]:(((in @ X1773 @ emptyset)=>![X1774:$o]:((X1774))))=>(![X973:$i]:(((in @ X973 @ emptyset)=>~($true)))=>(![X1772:$i]:(~(in @ X1772 @ emptyset))=>(![X1768:$i > $o]:((?[X1769:$i]:(((X1768 @ X1769)&![X1770:$i]:(((X1768 @ X1770)=>((X1769)=(X1770))))))=>?[X1771:$i]:((X1768 @ X1771))))=>(![X1764:$i, X1765:$i]:((![X1766:$i]:(((in @ X1766 @ X1764)=>(in @ X1766 @ X1765)))=>(![X1767:$i]:(((in @ X1767 @ X1765)=>(in @ X1767 @ X1764)))=>((X1764)=(X1765)))))=>(![X1762:$i]:((![X1763:$i]:(~(in @ X1763 @ X1762))=>((X1762)=(emptyset))))=>(![X1760:$i]:((![X1761:$i]:(~(in @ X1761 @ X1760))=>((X1760)=(emptyset))))=>(![X1757:$i, X1758:$i > $o, X1759:$i]:(((in @ X1759 @ X1757)=>((in @ X1759 @ (dsetconstr @ X1757 @ X1758))<=>(X1758 @ X1759))))=>(![X974:$i]:((((X974)!=(emptyset))=>?[X975:$i]:((in @ X975 @ X974))))=>(![X1754:$i, X1755:$i > $o, X1756:$i]:(((in @ X1756 @ X1754)=>((X1755 @ X1756)=>((dsetconstr @ X1754 @ X1755)!=(emptyset)))))=>(![X976:$i]:((?[X977:$i]:((in @ X977 @ X976))=>((X976)!=(emptyset))))=>(![X978:$i, X979:$i]:((in @ X978 @ (setadjoin @ X978 @ X979)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1751:$i, X1752:$i, X1753:$i]:(((in @ X1753 @ X1752)=>(in @ X1753 @ (setadjoin @ X1751 @ X1752))))=>(![X980:$i, X981:$i, X982:$i]:(((in @ X982 @ (setadjoin @ X980 @ X981))=>![X983:$o]:(((((X982)=(X980))=>(X983))=>(((in @ X982 @ X981)=>(X983))=>(X983))))))=>(![X1748:$i, X1749:$i, X1750:$i]:(((in @ X1750 @ (setadjoin @ X1748 @ X1749))=>(((X1750)=(X1748))|(in @ X1750 @ X1749))))=>(![X984:$i]:(((dsetconstr @ X984 @ (^[Z0/* 1 */:$i]:($true)))=(X984)))=>(![X1745:$i, X1746:$i]:((![X1747:$i]:(((in @ X1747 @ X1746)=>(in @ X1747 @ X1745)))=>(in @ X1746 @ (powerset @ X1745))))=>(![X1744:$i]:((in @ emptyset @ (powerset @ X1744)))=>(![X985:$i]:((in @ emptyset @ (powerset @ X985)))=>(![X1741:$i, X1742:$i, X1743:$i]:(((in @ X1742 @ (powerset @ X1741))=>((in @ X1743 @ X1742)=>(in @ X1743 @ X1741))))=>(![X1738:$i, X1739:$i, X1740:$i]:(((in @ X1739 @ X1740)=>((in @ X1740 @ X1738)=>(in @ X1739 @ (setunion @ X1738)))))=>(![X986:$i, X987:$i]:(((in @ X987 @ (setunion @ X986))=>![X988:$o]:((![X989:$i]:(((in @ X987 @ X989)=>((in @ X989 @ X986)=>(X988))))=>(X988)))))=>(![X1736:$i, X1737:$i]:(((in @ X1737 @ X1736)=>(in @ X1737 @ (powerset @ (setunion @ X1736)))))=>(![X1731:$i > $o]:((?[X1732:$i]:(((X1731 @ X1732)&![X1733:$i]:(((X1731 @ X1733)=>((X1732)=(X1733))))))=>?[X1734:$i]:(![X1735:$i]:(((X1731 @ X1735)<=>((X1735)=(X1734)))))))=>(![X1729:$i]:((((X1729)!=(emptyset))=>?[X1730:$i]:(((in @ X1730 @ X1729)&$true))))=>(![X1727:$i, X1728:$i]:(((in @ X1727 @ (setadjoin @ X1728 @ emptyset))=>((X1727)=(X1728))))=>(![X990:$i, X991:$i]:((((X990)!=(X991))=>~(in @ X991 @ (setadjoin @ X990 @ emptyset))))=>(![X1725:$i, X1726:$i]:((((X1725)=(X1726))=>(in @ X1725 @ (setadjoin @ X1726 @ emptyset))))=>(![X992:$i, X993:$i]:(((in @ X992 @ (setadjoin @ X993 @ emptyset))=>(in @ X993 @ (setadjoin @ X992 @ emptyset))))=>(![X1722:$i, X1723:$i, X1724:$i]:(((in @ X1724 @ (setadjoin @ X1722 @ (setadjoin @ X1723 @ emptyset)))=>(((X1724)=(X1722))|((X1724)=(X1723)))))=>(![X994:$i, X995:$i]:((in @ X994 @ (setadjoin @ X994 @ (setadjoin @ X995 @ emptyset))))=>(![X1720:$i, X1721:$i]:((in @ X1721 @ (setadjoin @ X1720 @ (setadjoin @ X1721 @ emptyset))))=>(![X996:$i, X997:$i > $o]:((?[X998:$i]:(((in @ X998 @ X996)&(X997 @ X998)))=>(((dsetconstr @ X996 @ X997)=(emptyset))=>~($true))))=>(![X999:$i > $o, X1000:$i]:(((in @ X1000 @ emptyset)=>(X999 @ X1000)))=>(![X1001:$i, X1002:$i > $o]:((~(![X1003:$i]:(((in @ X1003 @ X1001)=>(X1002 @ X1003))))=>?[X1004:$i]:(((in @ X1004 @ X1001)&~((X1002 @ X1004))))))=>(![X1005:$i, X1006:$i > $o]:((![X1007:$i]:(((in @ X1007 @ X1005)=>~((X1006 @ X1007))))=>~(?[X1008:$i]:(((in @ X1008 @ X1005)&(X1006 @ X1008))))))=>(![X1009:$i, X1010:$i > $o]:((~(?[X1011:$i]:(((in @ X1011 @ X1009)&(X1010 @ X1011))))=>![X1012:$i]:(((in @ X1012 @ X1009)=>~((X1010 @ X1012))))))=>(![X1013:$i, X1014:$i > $o]:((?[X1015:$i]:(((in @ X1015 @ X1013)&~((X1014 @ X1015))))=>~(![X1016:$i]:(((in @ X1016 @ X1013)=>(X1014 @ X1016))))))=>(![X1017:$o]:(((X1017)=>(in @ emptyset @ (prop2set @ ((X1017))))))=>((prop2set2propI)=>(![X1716:$i, X1717:$i > $o]:((~(?[X1718:$i]:(((in @ X1718 @ X1716)&(X1717 @ X1718))))=>![X1719:$i]:(((in @ X1719 @ X1716)=>~((X1717 @ X1719))))))=>(![X1018:$i, X1019:$i > $o]:((~(![X1020:$i]:(((in @ X1020 @ X1018)=>(X1019 @ X1020))))=>?[X1021:$i]:(((in @ X1021 @ X1018)&~((X1019 @ X1021))))))=>(![X1711:$i > $o]:((?[X1712:$i]:(((X1711 @ X1712)&![X1713:$i]:(((X1711 @ X1713)=>((X1712)=(X1713))))))=>?[X1714:$i]:(((X1711 @ X1714)&![X1715:$i]:(((X1711 @ X1715)=>((X1714)=(X1715))))))))=>(![X1705:$i > $o]:((?[X1706:$i]:((X1705 @ X1706))=>(![X1707:$i, X1708:$i]:(((X1705 @ X1707)=>((X1705 @ X1708)=>((X1707)=(X1708)))))=>?[X1709:$i]:(((X1705 @ X1709)&![X1710:$i]:(((X1705 @ X1710)=>((X1709)=(X1710)))))))))=>(![X1700:$i > $o]:((?[X1701:$i]:(![X1702:$i]:(((X1700 @ X1702)<=>((X1702)=(X1701)))))=>?[X1703:$i]:(((X1700 @ X1703)&![X1704:$i]:(((X1700 @ X1704)=>((X1703)=(X1704))))))))=>(![X1696:$i, X1697:$i]:((((X1696)=(X1697))=>![X1698:$i, X1699:$i]:((((X1698)=(X1699))=>((in @ X1698 @ X1696)=>(in @ X1699 @ X1697))))))=>(![X1022:$i, X1023:$i]:((((X1022)=(X1023))=>![X1024:$i, X1025:$i]:((((X1024)=(X1025))=>((in @ X1024 @ X1022)<=>(in @ X1025 @ X1023))))))=>(![X1691:$i > $o]:((?[X1692:$i]:(((X1691 @ X1692)&![X1693:$i]:(((X1691 @ X1693)=>((X1692)=(X1693))))))=>![X1694:$i, X1695:$i]:(((X1691 @ X1694)=>((X1691 @ X1695)=>((X1694)=(X1695)))))))=>(![X1026:$i > $o, X1027:$i > $o]:((![X1028:$i, X1029:$i]:((((X1028)=(X1029))=>((X1026 @ X1028)<=>(X1027 @ X1029))))=>(?[X1030:$i]:(((X1026 @ X1030)&![X1031:$i]:(((X1026 @ X1031)=>((X1030)=(X1031))))))<=>?[X1032:$i]:(((X1027 @ X1032)&![X1033:$i]:(((X1027 @ X1033)=>((X1032)=(X1033)))))))))=>(((emptyset)=(emptyset))=>(![X1034:$i, X1035:$i]:((((X1034)=(X1035))=>![X1036:$i, X1037:$i]:((((X1036)=(X1037))=>((setadjoin @ X1034 @ X1036)=(setadjoin @ X1035 @ X1037))))))=>(![X1038:$i, X1039:$i]:((((X1038)=(X1039))=>((powerset @ X1038)=(powerset @ X1039))))=>(![X1689:$i, X1690:$i]:((((X1689)=(X1690))=>((setunion @ X1689)=(setunion @ X1690))))=>(((omega)=(omega))=>(![X1040:$i > $o]:((?[X1041:$i]:(((X1040 @ X1041)&![X1042:$i]:(((X1040 @ X1042)=>((X1041)=(X1042))))))=>![X1043:$i, X1044:$i]:(((X1040 @ X1043)=>((X1040 @ X1044)=>((X1043)=(X1044)))))))=>(![X1045:$i > $o, X1046:$i > $o]:((![X1047:$i, X1048:$i]:((((X1047)=(X1048))=>((X1045 @ X1047)<=>(X1046 @ X1048))))=>(?[X1049:$i]:(((X1045 @ X1049)&![X1050:$i]:(((X1045 @ X1050)=>((X1049)=(X1050))))))=>(?[X1051:$i]:(((X1046 @ X1051)&![X1052:$i]:(((X1046 @ X1052)=>((X1051)=(X1052))))))=>((descr @ X1045)=(descr @ X1046))))))=>(![X1683:$i, X1684:$i]:((((X1683)=(X1684))=>![X1685:$i > $o, X1686:$i > $o]:((![X1687:$i]:(((in @ X1687 @ X1683)=>![X1688:$i]:(((in @ X1688 @ X1684)=>(((X1687)=(X1688))=>((X1685 @ X1687)<=>(X1686 @ X1688)))))))=>((dsetconstr @ X1683 @ X1685)=(dsetconstr @ X1684 @ X1686))))))=>(![X1680:$i, X1681:$i]:((![X1682:$i]:(((in @ X1682 @ X1680)=>(in @ X1682 @ X1681)))=>(subset @ X1680 @ X1681)))=>(![X1053:$i, X1054:$i]:((((X1053)=(X1054))=>(subset @ X1054 @ X1053)))=>(![X1678:$i, X1679:$i]:((((X1678)=(X1679))=>(subset @ X1678 @ X1679)))=>(![X1675:$i, X1676:$i]:((![X1677:$i]:(((in @ X1677 @ X1675)=>(in @ X1677 @ X1676)))=>(subset @ X1675 @ X1676)))=>(![X1055:$i]:((subset @ emptyset @ X1055))=>(![X1672:$i, X1673:$i, X1674:$i]:(((subset @ X1672 @ X1673)=>((in @ X1674 @ X1672)=>(in @ X1674 @ X1673))))=>(![X1056:$i, X1057:$i, X1058:$i]:(((subset @ X1056 @ X1057)=>(~(in @ X1058 @ X1057)=>~(in @ X1058 @ X1056))))=>(![X1059:$i, X1060:$i, X1061:$i]:(((in @ X1061 @ X1059)=>(~(in @ X1061 @ X1060)=>~(subset @ X1059 @ X1060))))=>(![X1670:$i, X1671:$i]:((~(subset @ X1670 @ X1671)=>((X1670)!=(X1671))))=>(![X1062:$i, X1063:$i, X1064:$i]:(((in @ X1064 @ X1062)=>(~(in @ X1064 @ X1063)=>((X1062)!=(X1063)))))=>(![X1669:$i]:((subset @ X1669 @ X1669))=>(![X1666:$i, X1667:$i, X1668:$i]:(((subset @ X1666 @ X1667)=>((subset @ X1667 @ X1668)=>(subset @ X1666 @ X1668))))=>(![X1065:$i, X1066:$i]:((subset @ X1066 @ (setadjoin @ X1065 @ X1066)))=>(![X1663:$i, X1664:$i, X1665:$i]:(((subset @ X1663 @ X1665)=>(subset @ X1663 @ (setadjoin @ X1664 @ X1665))))=>(![X1067:$i, X1068:$i]:(((subset @ X1067 @ X1068)=>(in @ X1067 @ (powerset @ X1068))))=>(![X1069:$i, X1070:$i]:(((subset @ X1069 @ X1070)=>((subset @ X1070 @ X1069)=>((X1069)=(X1070)))))=>(![X1071:$i]:(((subset @ X1071 @ emptyset)=>((X1071)=(emptyset))))=>(![X1661:$i, X1662:$i]:(((subset @ X1662 @ X1661)=>(in @ X1662 @ (powerset @ X1661))))=>(![X1072:$i, X1073:$i]:(((in @ X1073 @ (powerset @ X1072))=>(subset @ X1073 @ X1072)))=>(![X1660:$i]:((in @ X1660 @ (powerset @ X1660)))=>(![X1074:$i, X1075:$i]:(((subset @ X1074 @ X1075)=>(subset @ (powerset @ X1074) @ (powerset @ X1075))))=>(![X1658:$i, X1659:$i > $o]:((in @ (dsetconstr @ X1658 @ X1659) @ (powerset @ X1658)))=>(![X1656:$i, X1657:$i > $o]:((subset @ (dsetconstr @ X1656 @ X1657) @ X1656))=>(![X1076:$i, X1077:$i, X1078:$i]:(((in @ X1078 @ X1076)=>(in @ X1078 @ (binunion @ X1076 @ X1077))))=>(![X1079:$i, X1080:$i]:((in @ X1080 @ (setadjoin @ X1079 @ (setadjoin @ X1080 @ emptyset))))=>(![X1081:$i, X1082:$i, X1083:$i]:(((in @ X1083 @ X1082)=>(in @ X1083 @ (binunion @ X1081 @ X1082))))=>(![X1652:$i, X1653:$i, X1654:$i, X1655:$o]:(((in @ X1654 @ (binunion @ X1652 @ X1653))=>(((in @ X1654 @ X1652)=>(X1655))=>(((in @ X1654 @ X1653)=>(X1655))=>(X1655)))))=>(![X1649:$i, X1650:$i, X1651:$i]:(((in @ X1651 @ (binunion @ X1649 @ X1650))=>((in @ X1651 @ X1649)|(in @ X1651 @ X1650))))=>(![X1647:$i, X1648:$i]:((subset @ X1647 @ (binunion @ X1647 @ X1648)))=>(![X1645:$i, X1646:$i]:((subset @ X1646 @ (binunion @ X1645 @ X1646)))=>(![X1084:$i, X1085:$i, X1086:$i]:(((in @ X1086 @ X1084)=>((in @ X1086 @ X1085)=>(in @ X1086 @ (binintersect @ X1084 @ X1085)))))=>(![X1087:$i, X1088:$i, X1089:$i]:(((subset @ X1089 @ X1087)=>((subset @ X1089 @ X1088)=>(subset @ X1089 @ (binintersect @ X1087 @ X1088)))))=>(![X1090:$i, X1091:$i, X1092:$i]:(((in @ X1092 @ (binintersect @ X1090 @ X1091))=>(in @ X1092 @ X1090)))=>(![X1093:$i, X1094:$i]:((subset @ (binintersect @ X1093 @ X1094) @ X1093))=>(![X1643:$i, X1644:$i]:(((subset @ X1643 @ X1644)=>((binintersect @ X1643 @ X1644)=(X1643))))=>(![X1095:$i, X1096:$i]:((((binintersect @ X1095 @ X1096)=(X1096))=>(subset @ X1096 @ X1095)))=>(![X1640:$i, X1641:$i, X1642:$i]:(((in @ X1642 @ (binintersect @ X1640 @ X1641))=>(in @ X1642 @ X1641)))=>(![X1637:$i, X1638:$i]:((~(?[X1639:$i]:(((in @ X1639 @ X1637)&(in @ X1639 @ X1638))))=>((binintersect @ X1637 @ X1638)=(emptyset))))=>(![X1097:$i, X1098:$i]:((subset @ (binintersect @ X1097 @ X1098) @ X1098))=>(![X1099:$i, X1100:$i]:(((subset @ X1100 @ X1099)=>((binintersect @ X1099 @ X1100)=(X1100))))=>(![X1101:$i, X1102:$i]:((((binintersect @ X1101 @ 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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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c_0_293]), setextAx]), c_0_294]), setunion__Cong]), emptyset__Cong]), ubforcartprodlem2]), c_0_295]), inCongP]), ubforcartprodlem3]), c_0_296]), c_0_297]), c_0_298]), setunionsingleton1]), notdexE]), upairsetIR]), c_0_299]), upairsetE]), eqinunit]), uniqinunit]), c_0_300]), c_0_301]), secondinupair]), c_0_302]), subPowSU]), c_0_303]), setunionI]), powersetE]), emptyinPowerset]), c_0_304]), powersetI]), setadjoinOr]), kpairp]), setadjoinIR]), singletonsuniq]), c_0_305]), c_0_306]), noeltsimpempty]), emptyI]), theprop]), setext]), c_0_307]), kfstpairEq]), notinemptyset]), emptysetE]), prop2setE]), setukpairinjL2]), c_0_308]), c_0_309]), setukpairinjR11]), c_0_310]), omegaSAx]), setunionAx]), setukpairinjR12]), c_0_311]), ksndpairEq]), singletoninpowunion]), cartprodsndin]), cartprodpairmemEL]), cartprodmempaircEq]), cartprodsndpairEq]), c_0_312]), c_0_313]), complementImpComplementIntersect]), complementSubsetComplementIntersect]), c_0_314]), app]), infuncsetfunc]), funcinfuncset]), c_0_315]), c_0_316]), c_0_317]), funcGraphProp3]), funcGraphProp2]), funcGraphProp4]), upairsubunion]), c_0_318]), funcext2]), c_0_319]), c_0_320]), c_0_321]), c_0_322]), iftrue]), iftrueorfalse]), binunionT_lem]), complementT_lem]), setextT]), subsetTI]), powersetTI1]), powersetTE1]), binintersectTELcontra]), binintersectTERcontra]), contrasubsetT]), contrasubsetT2]), doubleComplementE1]), doubleComplementSub1]), complementTnotintersectT]), subsetI2]), eqimpsubset1]), subsetI1]), contraSubsetComplement]), binunionTILcontra]), inIntersectImpInUnion2]), inComplementUnionImpInComplement1]), binunionTE]), demorgan2a2]), complementUnionInPowersetComplement]), demorgan2a1]), binunionTEcontra]), inComplementUnionImpNotIn1]), intersectInPowersetIntersectUnions]), inIntersectImpInIntersectUnions]), inIntersectImpInUnion]), binunionTIRcontra]), complementTcontraSubset]), complementInPowersetComplementIntersect]), doubleComplementEq]), doubleComplementSub2]), doubleComplementI1]), contrasubsetT3]), contrasubsetT1]), complementTE1]), complementTI1]), setminusT_lem]), powersetT_lem]), binintersectT_lem]), iffalse]), theeq]), ifp]), c_0_323]), c_0_324]), c_0_325]), c_0_326]), c_0_327]), c_0_328]), ap2apEq2]), ap2apEq1]), funcext]), c_0_329]), funcextLem]), funcGraphProp1]), c_0_330]), c_0_331]), c_0_332]), ap2p]), c_0_333]), c_0_334]), c_0_335]), c_0_336]), c_0_337]), cartprodpairsurjEq]), cartprodfstpairEq]), cartprodpairmemER]), kpairsurjEq]), setukpairinjR]), setukpairinjR2]), upairequniteq]), setukpairinjR1]), setukpairinjL]), cartprodfstin]), c_0_338]), setukpairinjL1]), setunionsingleton]), setunionsingleton2]), setunionE2]), cartprodmempair]), cartprodmempair1]), cartprodpairin]), ubforcartprodlem1]), upairinpowunion]), upairset2E]), singletoninpowerset]), singletonsubset]), kpairiskpair]), setukpairIR]), setukpairIL]), symdiffIneg1]), symdiffI1]), setminusIRneg]), setminusSubset2]), setminusER]), setminusEL]), disjointsetsI1]), binintersectER]), binintersectSubset2]), binunionRsub]), binunionLsub]), binunionE]), binunionEcases]), c_0_339]), c_0_340]), inPowerset]), powersetI1]), setadjoinSub2]), subsetTrans]), subsetRefl]), notequalI1]), subsetE]), symdiffIneg2]), symdiffI2]), symdiffE]), setminusSubset1]), setminusLsub]), setminusILneg]), setminusELneg]), setminusERneg]), setminusI]), bs114d]), binintersectSubset1]), binintersectSubset4]), binintersectRsub]), binintersectSubset3]), binintersectLsub]), binintersectEL]), binintersectSubset5]), binintersectI]), binunionIR]), upairset2IR]), binunionIL]), powersetsubset]), powersetE1]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub]), notequalI2]), notsubsetI]), subsetE2]), emptysetsubset]), eqimpsubset2]), c_0_341]), c_0_342]), omega__Cong]), powerset__Cong]), setadjoin__Cong]), c_0_343]), in__Cong]), notdallE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), c_0_344]), upairsetIL]), singletonsswitch]), notinsingleton]), setunionE]), emptyInPowerset]), c_0_345]), setadjoinE]), emptyinunitempty]), setadjoinIL]), c_0_346]), c_0_347]), emptysetimpfalse]), c_0_348]), c_0_349]), wellorderingAx]), foundationAx]), c_0_350]), omegaIndAx]), omega0Ax]), powersetAx]), setadjoinAx]), emptysetAx])])]), c_0_351])).
3.85/1.28	thf(c_0_353, negated_conjecture, ![X1793:$i, X1794:$i, X1796:$i, X1797:$i, X1798:$i, X1799:$i, X1800:$i, X1801:$i, X1802:$i, X1803:$i, X1804:$i, X1806:$i, X1807:$i, X1809:$i, X1810:$i, X1811:$i, X1812:$i, X1813:$i, X1815:$i, X1816:$i > $i > $o, X1817:$i, X1819:$i, X1822:$i, X1824:$i, X1825:$i, X1826:$i, X1827:$i, X1829:$i, X1830:$i > $o, X1831:$i, X1833:$i, X1834:$i > $o, X1835:$i, X1836:$i, X1837:$i > $o, X1838:$i, X1839:$i, X1840:$i > $o, X1841:$i, X1842:$i > $o, X1843:$i, X1846:$i, X1847:$o, X1848:$i, X1849:$i, X1850:$o, X1851:$i, X1852:$i, X1853:$i > $o, X1854:$i, X1857:$i, X1858:$i, X1861:$i, X1863:$i, X1865:$i, X1866:$i > $o, X1867:$i, X1868:$i, X1870:$i, X1871:$i > $o, X1872:$i, X1873:$i, X1874:$i, X1875:$i, X1876:$i, X1877:$i, X1878:$i, X1879:$i, X1880:$i, X1881:$i, X1882:$i, X1883:$o, X1884:$i, X1885:$i, X1886:$i, X1887:$i, X1888:$i, X1889:$i, X1891:$i, X1892:$i, X1893:$i, X1894:$i, X1895:$i, X1896:$i, X1897:$i, X1898:$i, X1899:$i, X1900:$i, X1901:$o, X1903:$i, X1904:$i, X1905:$i > $o, X1906:$i, X1909:$i, X1910:$i, X1911:$i, X1913:$i, X1914:$i, X1915:$i, X1916:$i, X1917:$i, X1918:$i, X1919:$i, X1920:$i, X1921:$i, X1922:$i, X1923:$i, X1924:$i, X1925:$i, X1926:$i, X1927:$i, X1928:$i, X1929:$i > $o, X1930:$i, X1931:$i > $o, X1932:$i, X1933:$i, X1934:$i > $o, X1935:$i, X1937:$i, X1938:$i > $o, X1940:$i, X1941:$i, X1942:$i > $o, X1944:$i, X1945:$i, X1946:$i > $o, X1947:$i, X1949:$o, X1950:$i, X1951:$i > $o, X1953:$i, X1954:$i, X1955:$i > $o, X1956:$i, X1958:$i > $o, X1959:$i, X1962:$i, X1963:$i > $o, X1964:$i, X1968:$i, X1969:$i > $o, X1970:$i, X1973:$i, X1974:$i, X1975:$i, X1976:$i, X1977:$i, X1978:$i, X1979:$i, X1980:$i, X1981:$i, X1982:$i > $o, X1983:$i, X1985:$i, X1986:$i, X1987:$i > $o, X1988:$i > $o, X1991:$i, X1994:$i, X1995:$i, X1998:$i, X1999:$i, X2000:$i, X2001:$i, X2002:$i, X2003:$i, X2004:$i, X2005:$i, X2006:$i, X2007:$i > $o, X2008:$i, X2010:$i, X2011:$i, X2012:$i > $o, X2013:$i > $o, X2016:$i, X2018:$i, X2020:$i, X2021:$i, X2022:$i > $o, X2023:$i > $o, X2026:$i, X2027:$i, X2029:$i, X2030:$i, X2031:$i, X2032:$i, X2033:$i, X2034:$i, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2040:$i, X2041:$i, X2042:$i, X2043:$i, X2044:$i, X2045:$i, X2046:$i, X2047:$i, X2048:$i, X2049:$i, X2050:$i, X2051:$i, X2052:$i, X2053:$i, X2054:$i, X2055:$i, X2056:$i, X2057:$i, X2058:$i, X2059:$i, X2060:$i, X2061:$i, X2062:$i, X2063:$i, X2064:$i, X2065:$i, X2066:$i, X2067:$i, X2068:$i, X2069:$i, X2070:$i, X2071:$i, X2072:$i, X2073:$i > $o, X2074:$i, X2075:$i > $o, X2076:$i, X2077:$i, X2078:$i, X2079:$i, X2080:$i, X2081:$i, X2082:$i, X2083:$i, X2084:$i, X2085:$i, X2086:$i, X2087:$o, X2088:$i, X2089:$i, X2090:$i, X2091:$i, X2092:$i, X2093:$i, X2094:$i, X2095:$i, X2096:$i, X2097:$i, X2098:$i, X2099:$i, X2100:$i, X2101:$i, X2102:$i, X2103:$i, X2104:$i, X2105:$i, X2106:$i, X2107:$i, X2108:$i, X2109:$i, X2110:$i, X2111:$i, X2112:$i, X2113:$i, X2114:$i, X2116:$i, X2117:$i, X2118:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i, X2127:$i, X2128:$i, X2129:$i, X2130:$i, X2131:$i, X2132:$i, X2133:$i, X2134:$i, X2135:$i, X2136:$i, X2137:$i, X2138:$i, X2139:$i, X2140:$i, X2141:$i, X2142:$i, X2143:$i, X2144:$i, X2145:$i, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i, X2151:$i, X2152:$i, X2153:$i, X2154:$i, X2155:$o, X2156:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$i, X2162:$i, X2163:$i, X2164:$i, X2165:$i, X2166:$i, X2167:$i, X2168:$i, X2169:$i, X2170:$i, X2171:$i, X2172:$i, X2173:$i, X2174:$i, X2175:$i, X2176:$i, X2177:$i, X2178:$i, X2179:$i, X2180:$i, X2181:$i, X2182:$i, X2183:$i, X2184:$i, X2185:$i, X2186:$i, X2187:$i, X2188:$i, X2189:$i, X2190:$i, X2191:$i, X2192:$i, X2193:$i, X2194:$i, X2195:$i, X2196:$i, X2197:$i, X2198:$i, X2199:$i, X2200:$i, X2201:$i, X2202:$i, X2203:$i, X2204:$i, X2205:$i, X2206:$i, X2207:$i, X2208:$i, X2209:$i, X2210:$i, X2211:$i, X2212:$i, X2213:$i, X2214:$i, X2217:$i, X2218:$i, X2219:$i, X2220:$i, X2221:$i, X2223:$i, X2224:$i, X2225:$i, X2226:$i, X2227:$i > $o, X2230:$i, X2231:$i, X2232:$i > $o, X2234:$i, X2235:$i > $o, X2236:$i, X2238:$i, X2239:$i > $o, X2242:$i, X2243:$i, X2244:$i, X2245:$i, X2246:$i, X2247:$i, X2248:$i, X2249:$i, X2250:$i, X2251:$i, X2252:$i, X2253:$i, X2254:$i, X2255:$i, X2256:$i, X2257:$i, X2258:$i, X2259:$i, X2260:$i, X2261:$i, X2262:$i, X2263:$i, X2264:$i, X2265:$i, X2266:$i, X2267:$i, X2268:$i, X2269:$i, X2270:$i, X2271:$i, X2272:$i, X2273:$i, X2274:$i, X2275:$i, X2276:$i, X2277:$i, X2278:$i, X2279:$i, X2280:$i, X2281:$i, X2282:$i, X2283:$i, X2284:$i, X2285:$i, X2286:$i, X2287:$i, X2288:$i, X2289:$i, X2290:$i, X2291:$i, X2292:$i, X2293:$i, X2294:$i, X2295:$i, X2296:$i, X2297:$i, X2298:$i, X2299:$i, X2300:$i, X2301:$i, X2302:$i, X2303:$i, X2304:$i, X2305:$i, X2306:$i, X2307:$i, X2308:$i, X2309:$i, X2310:$i, X2311:$i, X2312:$i, X2313:$i, X2314:$i > $i > $o, X2315:$i, X2316:$i, X2317:$i, X2318:$i, X2319:$i > $i > $o, X2320:$i, X2321:$i, X2322:$i > $i > $o, X2323:$i, X2324:$i, X2325:$i > $i > $o, X2326:$i, X2327:$i, X2328:$i, X2329:$i, X2330:$i > $i > $o, X2331:$i, X2332:$i, X2333:$i, X2334:$i, X2335:$i > $i > $o, X2336:$i, X2337:$i, X2338:$i, X2339:$i, X2340:$i > $i > $o, X2341:$i, X2342:$i, X2343:$i, X2344:$i, X2345:$i, X2346:$i, X2347:$i, X2348:$i, X2349:$i, X2350:$i, X2351:$i, X2352:$i, X2353:$i, X2354:$i, X2355:$i, X2356:$i, X2357:$i, X2358:$i, X2359:$i, X2360:$i, X2361:$i, X2362:$i, X2363:$i, X2364:$i, X2365:$i, X2366:$i, X2367:$i > $i, X2369:$i, X2370:$i, X2371:$i > $i, X2373:$i, X2374:$i, X2375:$i > $i, X2377:$i, X2378:$i, X2379:$i, X2380:$i > $o, X2383:$i, X2384:$i, X2385:$i, X2386:$i, X2387:$i > $o, X2390:$i, X2391:$i, X2392:$i > $o, X2393:$i, X2394:$i, X2395:$i, X2396:$i, X2397:$i, X2398:$i, X2399:$i, X2400:$i, X2401:$i, X2402:$i, X2403:$i, X2404:$i, X2405:$i, X2406:$i, X2407:$i, X2408:$i, X2409:$i, X2410:$i, X2411:$i, X2413:$i, X2414:$i, X2415:$i, X2416:$i, X2417:$i, X2418:$i, X2419:$i, X2420:$i, X2421:$i, X2422:$i, X2423:$i, X2426:$i, X2427:$i, X2428:$i, X2429:$i, X2434:$i, X2435:$i, 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X2614)|(~(in @ X2618 @ (binintersect @ X2615 @ X2616))|(in @ X2618 @ (binunion @ X2616 @ X2617)))))))&((~(in @ X2620 @ (powerset @ X2619))|(~(in @ X2621 @ (powerset @ X2619))|(~(in @ X2622 @ (powerset @ X2619))|(~(in @ X2623 @ X2619)|(~(in @ X2623 @ (binintersect @ X2620 @ X2621))|(in @ X2623 @ (binintersect @ (binunion @ X2620 @ X2622) @ (binunion @ X2621 @ X2622))))))))&((~(in @ X2625 @ (powerset @ X2624))|(~(in @ X2626 @ (powerset @ X2624))|(~(in @ X2627 @ (powerset @ X2624))|(in @ (binintersect @ X2625 @ X2626) @ (powerset @ (binintersect @ (binunion @ X2625 @ X2627) @ (binunion @ X2626 @ X2627)))))))&((~(in @ X2629 @ (powerset @ X2628))|(~(in @ X2630 @ (powerset @ X2628))|(~(in @ X2631 @ X2628)|(~(in @ X2631 @ (setminus @ X2628 @ (binunion @ X2629 @ X2630)))|~(in @ X2631 @ X2629)))))&((~(in @ X2633 @ (powerset @ X2632))|(~(in @ X2634 @ (powerset @ X2632))|(~(in @ X2635 @ X2632)|(~(in @ X2635 @ (setminus @ X2632 @ (binunion @ X2633 @ X2634)))|(in @ X2635 @ (setminus @ X2632 @ X2633))))))&(((((in @ X2640 @ X2638)|(X2639)|(in @ X2640 @ X2637)|~(in @ X2640 @ (binunion @ X2637 @ X2638))|~(in @ X2640 @ X2636)|~(in @ X2638 @ (powerset @ X2636))|~(in @ X2637 @ (powerset @ X2636)))&(~(X2639)|(X2639)|(in @ X2640 @ X2637)|~(in @ X2640 @ (binunion @ X2637 @ X2638))|~(in @ X2640 @ X2636)|~(in @ X2638 @ (powerset @ X2636))|~(in @ X2637 @ (powerset @ X2636))))&(((in @ X2640 @ X2638)|(X2639)|~(X2639)|~(in @ X2640 @ (binunion @ X2637 @ X2638))|~(in @ X2640 @ X2636)|~(in @ X2638 @ (powerset @ X2636))|~(in @ X2637 @ (powerset @ X2636)))&(~(X2639)|(X2639)|~(X2639)|~(in @ X2640 @ (binunion @ X2637 @ X2638))|~(in @ X2640 @ X2636)|~(in @ X2638 @ (powerset @ X2636))|~(in @ X2637 @ (powerset @ X2636)))))&((~(in @ X2642 @ (powerset @ X2641))|(~(in @ X2643 @ (powerset @ X2641))|(~(in @ X2644 @ X2641)|((in @ X2644 @ X2642)|((in @ X2644 @ X2643)|~(in @ X2644 @ (binunion @ X2642 @ X2643)))))))&((~(in @ X2646 @ (powerset @ X2645))|(~(in @ X2647 @ (powerset @ X2645))|(~(in @ X2648 @ X2645)|(~(in @ X2648 @ (setminus @ X2645 @ (binunion @ X2646 @ X2647)))|(in @ X2648 @ (setminus @ X2645 @ X2646))))))&((~(in @ X2650 @ (powerset @ X2649))|(~(in @ X2651 @ (powerset @ X2649))|(in @ (setminus @ X2649 @ (binunion @ X2650 @ X2651)) @ (powerset @ (setminus @ X2649 @ X2650)))))&((~(in @ X2653 @ (powerset @ X2652))|(~(in @ X2654 @ (powerset @ X2652))|(~(in @ X2655 @ X2652)|(~(in @ X2655 @ (setminus @ X2652 @ (binunion @ X2653 @ X2654)))|(in @ X2655 @ (setminus @ X2652 @ X2654))))))&((in @ esk88_0 @ (powerset @ esk87_0))&((in @ esk89_0 @ (powerset @ esk87_0))&((in @ esk90_0 @ esk87_0)&((in @ esk90_0 @ (setminus @ esk87_0 @ (binintersect @ esk88_0 @ esk89_0)))&~(in @ esk90_0 @ (binunion @ (setminus @ esk87_0 @ esk88_0) @ (setminus @ esk87_0 @ esk89_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_352])])])])])])])).
3.85/1.28	thf(c_0_354, negated_conjecture, ~((in @ esk90_0 @ (binunion @ (setminus @ esk87_0 @ esk88_0) @ (setminus @ esk87_0 @ esk89_0)))), inference(split_conjunct,[status(thm)],[c_0_353])).
3.85/1.28	thf(c_0_355, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (binunion @ X4 @ X3))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_353])).
3.85/1.28	thf(c_0_356, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((~((in @ X2 @ (setminus @ X3 @ X4)))|~((in @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_353])).
3.85/1.28	thf(c_0_357, negated_conjecture, (in @ esk90_0 @ (setminus @ esk87_0 @ (binintersect @ esk88_0 @ esk89_0))), inference(split_conjunct,[status(thm)],[c_0_353])).
3.85/1.28	thf(c_0_358, negated_conjecture, ~((in @ esk90_0 @ (setminus @ esk87_0 @ esk89_0))), inference(spm,[status(thm)],[c_0_354, c_0_355])).
3.85/1.28	thf(c_0_359, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setminus @ X3 @ X4))|(in @ X2 @ X4)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_353])).
3.85/1.28	thf(c_0_360, negated_conjecture, (in @ esk90_0 @ esk87_0), inference(split_conjunct,[status(thm)],[c_0_353])).
3.85/1.28	thf(c_0_361, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (binunion @ X3 @ X4))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_353])).
3.85/1.28	thf(c_0_362, negated_conjecture, ~((in @ esk90_0 @ (binintersect @ esk88_0 @ esk89_0))), inference(spm,[status(thm)],[c_0_356, c_0_357])).
3.85/1.28	thf(c_0_363, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ (binintersect @ X3 @ X4))|~((in @ X2 @ X3))|~((in @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_353])).
3.85/1.28	thf(c_0_364, negated_conjecture, (in @ esk90_0 @ esk89_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358, c_0_359]), c_0_360])])).
3.85/1.28	thf(c_0_365, negated_conjecture, ~((in @ esk90_0 @ (setminus @ esk87_0 @ esk88_0))), inference(spm,[status(thm)],[c_0_354, c_0_361])).
3.85/1.28	thf(c_0_366, negated_conjecture, ~((in @ esk90_0 @ esk88_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362, c_0_363]), c_0_364])])).
3.85/1.28	thf(c_0_367, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365, c_0_359]), c_0_360])]), c_0_366]), ['proof']).
3.85/1.28	# SZS output end CNFRefutation
3.85/1.28	# Parsed axioms                        : 577
3.85/1.28	# Removed by relevancy pruning/SinE    : 306
3.85/1.28	# Initial clauses                      : 456
3.85/1.28	# Removed in clause preprocessing      : 32
3.85/1.28	# Initial clauses in saturation        : 424
3.85/1.28	# Processed clauses                    : 831
3.85/1.28	# ...of these trivial                  : 10
3.85/1.28	# ...subsumed                          : 44
3.85/1.28	# ...remaining for further processing  : 776
3.85/1.28	# Other redundant clauses eliminated   : 41
3.85/1.28	# Clauses deleted for lack of memory   : 0
3.85/1.28	# Backward-subsumed                    : 3
3.85/1.28	# Backward-rewritten                   : 3
3.85/1.28	# Generated clauses                    : 10741
3.85/1.28	# ...of the previous two non-redundant : 10528
3.85/1.28	# ...aggressively subsumed             : 0
3.85/1.28	# Contextual simplify-reflections      : 8
3.85/1.28	# Paramodulations                      : 10675
3.85/1.28	# Factorizations                       : 2
3.85/1.28	# NegExts                              : 0
3.85/1.28	# Equation resolutions                 : 48
3.85/1.28	# Disequality decompositions           : 0
3.85/1.28	# Total rewrite steps                  : 238
3.85/1.28	# ...of those cached                   : 162
3.85/1.28	# Propositional unsat checks           : 0
3.85/1.28	#    Propositional check models        : 0
3.85/1.28	#    Propositional check unsatisfiable : 0
3.85/1.28	#    Propositional clauses             : 0
3.85/1.28	#    Propositional clauses after purity: 0
3.85/1.28	#    Propositional unsat core size     : 0
3.85/1.28	#    Propositional preprocessing time  : 0.000
3.85/1.28	#    Propositional encoding time       : 0.000
3.85/1.28	#    Propositional solver time         : 0.000
3.85/1.28	#    Success case prop preproc time    : 0.000
3.85/1.28	#    Success case prop encoding time   : 0.000
3.85/1.28	#    Success case prop solver time     : 0.000
3.85/1.28	# Current number of processed clauses  : 387
3.85/1.28	#    Positive orientable unit clauses  : 35
3.85/1.28	#    Positive unorientable unit clauses: 0
3.85/1.28	#    Negative unit clauses             : 11
3.85/1.28	#    Non-unit-clauses                  : 341
3.85/1.28	# Current number of unprocessed clauses: 10485
3.85/1.28	# ...number of literals in the above   : 48225
3.85/1.28	# Current number of archived formulas  : 0
3.85/1.28	# Current number of archived clauses   : 374
3.85/1.28	# Clause-clause subsumption calls (NU) : 52531
3.85/1.28	# Rec. Clause-clause subsumption calls : 17031
3.85/1.28	# Non-unit clause-clause subsumptions  : 45
3.85/1.28	# Unit Clause-clause subsumption calls : 169
3.85/1.28	# Rewrite failures with RHS unbound    : 0
3.85/1.28	# BW rewrite match attempts            : 29
3.85/1.28	# BW rewrite match successes           : 3
3.85/1.28	# Condensation attempts                : 0
3.85/1.28	# Condensation successes               : 0
3.85/1.28	# Termbank termtop insertions          : 299229
3.85/1.28	# Search garbage collected termcells   : 28323
3.85/1.28	
3.85/1.28	# -------------------------------------------------
3.85/1.28	# User time                : 0.622 s
3.85/1.28	# System time              : 0.027 s
3.85/1.28	# Total time               : 0.649 s
3.85/1.28	# Maximum resident set size: 8868 pages
3.85/1.28	
3.85/1.28	# -------------------------------------------------
3.85/1.28	# User time                : 0.638 s
3.85/1.28	# System time              : 0.032 s
3.85/1.28	# Total time               : 0.669 s
3.85/1.28	# Maximum resident set size: 2764 pages
3.85/1.28	% E exiting
3.85/1.28	% E exiting
3.85/1.28	EOF