0.09/0.16	% Problem    : Vampire---4.8_4567 : TPTP v0.0.0. Released v0.0.0.
0.09/0.16	% Command    : run_E %s %d THM
0.17/0.36	% Computer : n016.cluster.edu
0.17/0.36	% Model    : x86_64 x86_64
0.17/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.17/0.36	% Memory   : 8042.1875MB
0.17/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.17/0.36	% CPULimit   : 1440
0.17/0.36	% WCLimit    : 180
0.17/0.36	% DateTime   : Mon Jul  3 13:24:35 EDT 2023
0.17/0.36	% CPUTime    : 
0.22/0.53	Running higher-order theorem provingRunning: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567
0.22/0.53	# Version: 3.1pre001-ho
0.39/0.91	# Preprocessing class: HSLMSLSSLLLCHFA.
0.39/0.91	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.39/0.91	# Starting ehoh_best5 with 180s (1) cores
0.39/0.91	# Starting almost_fo_3_lam with 180s (1) cores
0.39/0.91	# Starting new_bool_5 with 180s (1) cores
0.39/0.91	# Starting pre_casc_3 with 180s (1) cores
0.39/0.91	# Starting ho_unfolding_8 with 180s (1) cores
0.39/0.91	# Starting new_ho_10_cnf2 with 180s (1) cores
0.39/0.91	# Starting new_bool_3 with 180s (1) cores
0.39/0.91	# Starting new_ho_5 with 180s (1) cores
0.39/0.91	# new_bool_3 with pid 4751 completed with status 0
0.39/0.91	# Result found by new_bool_3
0.39/0.91	# Preprocessing class: HSLMSLSSLLLCHFA.
0.39/0.91	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.39/0.91	# Starting ehoh_best5 with 180s (1) cores
0.39/0.91	# Starting almost_fo_3_lam with 180s (1) cores
0.39/0.91	# Starting new_bool_5 with 180s (1) cores
0.39/0.91	# Starting pre_casc_3 with 180s (1) cores
0.39/0.91	# Starting ho_unfolding_8 with 180s (1) cores
0.39/0.91	# Starting new_ho_10_cnf2 with 180s (1) cores
0.39/0.91	# Starting new_bool_3 with 180s (1) cores
0.39/0.91	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.39/0.91	# Search class: HGHSM-FSLM32-MHFMMSBN
0.39/0.91	# Scheduled 9 strats onto 1 cores with 180 seconds (180 total)
0.39/0.91	# Starting ho_unfolding_8 with 37s (1) cores
0.39/0.91	# ho_unfolding_8 with pid 4753 completed with status 0
0.39/0.91	# Result found by ho_unfolding_8
0.39/0.91	# Preprocessing class: HSLMSLSSLLLCHFA.
0.39/0.91	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.39/0.91	# Starting ehoh_best5 with 180s (1) cores
0.39/0.91	# Starting almost_fo_3_lam with 180s (1) cores
0.39/0.91	# Starting new_bool_5 with 180s (1) cores
0.39/0.91	# Starting pre_casc_3 with 180s (1) cores
0.39/0.91	# Starting ho_unfolding_8 with 180s (1) cores
0.39/0.91	# Starting new_ho_10_cnf2 with 180s (1) cores
0.39/0.91	# Starting new_bool_3 with 180s (1) cores
0.39/0.91	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
0.39/0.91	# Search class: HGHSM-FSLM32-MHFMMSBN
0.39/0.91	# Scheduled 9 strats onto 1 cores with 180 seconds (180 total)
0.39/0.91	# Starting ho_unfolding_8 with 37s (1) cores
0.39/0.91	# Preprocessing time       : 0.129 s
0.39/0.91	# Presaturation interreduction done
0.39/0.91	
0.39/0.91	# Proof found!
0.39/0.91	# SZS status Theorem
0.39/0.91	# SZS output start CNFRefutation
0.39/0.91	thf(decl_22, type, in: $i > $i > $o).
0.39/0.91	thf(decl_23, type, exu: ($i > $o) > $o).
0.39/0.91	thf(decl_24, type, setextAx: $o).
0.39/0.91	thf(decl_25, type, emptyset: $i).
0.39/0.91	thf(decl_26, type, emptysetAx: $o).
0.39/0.91	thf(decl_27, type, setadjoin: $i > $i > $i).
0.39/0.91	thf(decl_28, type, setadjoinAx: $o).
0.39/0.91	thf(decl_29, type, powerset: $i > $i).
0.39/0.91	thf(decl_30, type, powersetAx: $o).
0.39/0.91	thf(decl_31, type, setunion: $i > $i).
0.39/0.91	thf(decl_32, type, setunionAx: $o).
0.39/0.91	thf(decl_33, type, omega: $i).
0.39/0.91	thf(decl_34, type, omega0Ax: $o).
0.39/0.91	thf(decl_35, type, omegaSAx: $o).
0.39/0.91	thf(decl_36, type, omegaIndAx: $o).
0.39/0.91	thf(decl_37, type, replAx: $o).
0.39/0.91	thf(decl_38, type, foundationAx: $o).
0.39/0.91	thf(decl_39, type, wellorderingAx: $o).
0.39/0.91	thf(decl_40, type, descr: ($i > $o) > $i).
0.39/0.91	thf(decl_41, type, descrp: $o).
0.39/0.91	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_43, type, dsetconstrI: $o).
0.39/0.91	thf(decl_44, type, dsetconstrEL: $o).
0.39/0.91	thf(decl_45, type, dsetconstrER: $o).
0.39/0.91	thf(decl_46, type, exuE1: $o).
0.39/0.91	thf(decl_47, type, prop2set: $o > $i).
0.39/0.91	thf(decl_48, type, prop2setE: $o).
0.39/0.91	thf(decl_49, type, emptysetE: $o).
0.39/0.91	thf(decl_50, type, emptysetimpfalse: $o).
0.39/0.91	thf(decl_51, type, notinemptyset: $o).
0.39/0.91	thf(decl_52, type, exuE3e: $o).
0.39/0.91	thf(decl_53, type, setext: $o).
0.39/0.91	thf(decl_54, type, emptyI: $o).
0.39/0.91	thf(decl_55, type, noeltsimpempty: $o).
0.39/0.91	thf(decl_56, type, setbeta: $o).
0.39/0.91	thf(decl_57, type, nonempty: $i > $o).
0.39/0.91	thf(decl_58, type, nonemptyE1: $o).
0.39/0.91	thf(decl_59, type, nonemptyI: $o).
0.39/0.91	thf(decl_60, type, nonemptyI1: $o).
0.39/0.91	thf(decl_61, type, setadjoinIL: $o).
0.39/0.91	thf(decl_62, type, emptyinunitempty: $o).
0.39/0.91	thf(decl_63, type, setadjoinIR: $o).
0.39/0.91	thf(decl_64, type, setadjoinE: $o).
0.39/0.91	thf(decl_65, type, setadjoinOr: $o).
0.39/0.91	thf(decl_66, type, setoftrueEq: $o).
0.39/0.91	thf(decl_67, type, powersetI: $o).
0.39/0.91	thf(decl_68, type, emptyinPowerset: $o).
0.39/0.91	thf(decl_69, type, emptyInPowerset: $o).
0.39/0.91	thf(decl_70, type, powersetE: $o).
0.39/0.91	thf(decl_71, type, setunionI: $o).
0.39/0.91	thf(decl_72, type, setunionE: $o).
0.39/0.91	thf(decl_73, type, subPowSU: $o).
0.39/0.91	thf(decl_74, type, exuE2: $o).
0.39/0.91	thf(decl_75, type, nonemptyImpWitness: $o).
0.39/0.91	thf(decl_76, type, uniqinunit: $o).
0.39/0.91	thf(decl_77, type, notinsingleton: $o).
0.39/0.91	thf(decl_78, type, eqinunit: $o).
0.39/0.91	thf(decl_79, type, singletonsswitch: $o).
0.39/0.91	thf(decl_80, type, upairsetE: $o).
0.39/0.91	thf(decl_81, type, upairsetIL: $o).
0.39/0.91	thf(decl_82, type, upairsetIR: $o).
0.39/0.91	thf(decl_83, type, emptyE1: $o).
0.39/0.91	thf(decl_84, type, vacuousDall: $o).
0.39/0.91	thf(decl_85, type, quantDeMorgan1: $o).
0.39/0.91	thf(decl_86, type, quantDeMorgan2: $o).
0.39/0.91	thf(decl_87, type, quantDeMorgan3: $o).
0.39/0.91	thf(decl_88, type, quantDeMorgan4: $o).
0.39/0.91	thf(decl_89, type, prop2setI: $o).
0.39/0.91	thf(decl_91, type, prop2set2propI: $o).
0.39/0.91	thf(decl_92, type, notdexE: $o).
0.39/0.91	thf(decl_93, type, notdallE: $o).
0.39/0.91	thf(decl_94, type, exuI1: $o).
0.39/0.91	thf(decl_95, type, exuI3: $o).
0.39/0.91	thf(decl_96, type, exuI2: $o).
0.39/0.91	thf(decl_97, type, inCongP: $o).
0.39/0.91	thf(decl_98, type, in__Cong: $o).
0.39/0.91	thf(decl_99, type, exuE3u: $o).
0.39/0.91	thf(decl_100, type, exu__Cong: $o).
0.39/0.91	thf(decl_101, type, emptyset__Cong: $o).
0.39/0.91	thf(decl_102, type, setadjoin__Cong: $o).
0.39/0.91	thf(decl_103, type, powerset__Cong: $o).
0.39/0.91	thf(decl_104, type, setunion__Cong: $o).
0.39/0.91	thf(decl_105, type, omega__Cong: $o).
0.39/0.91	thf(decl_106, type, exuEu: $o).
0.39/0.91	thf(decl_107, type, descr__Cong: $o).
0.39/0.91	thf(decl_108, type, dsetconstr__Cong: $o).
0.39/0.91	thf(decl_109, type, subset: $i > $i > $o).
0.39/0.91	thf(decl_112, type, subsetI1: $o).
0.39/0.91	thf(decl_113, type, eqimpsubset2: $o).
0.39/0.91	thf(decl_114, type, eqimpsubset1: $o).
0.39/0.91	thf(decl_115, type, subsetI2: $o).
0.39/0.91	thf(decl_116, type, emptysetsubset: $o).
0.39/0.91	thf(decl_117, type, subsetE: $o).
0.39/0.91	thf(decl_118, type, subsetE2: $o).
0.39/0.91	thf(decl_119, type, notsubsetI: $o).
0.39/0.91	thf(decl_120, type, notequalI1: $o).
0.39/0.91	thf(decl_121, type, notequalI2: $o).
0.39/0.91	thf(decl_122, type, subsetRefl: $o).
0.39/0.91	thf(decl_123, type, subsetTrans: $o).
0.39/0.91	thf(decl_124, type, setadjoinSub: $o).
0.39/0.91	thf(decl_125, type, setadjoinSub2: $o).
0.39/0.91	thf(decl_126, type, subset2powerset: $o).
0.39/0.91	thf(decl_127, type, setextsub: $o).
0.39/0.91	thf(decl_128, type, subsetemptysetimpeq: $o).
0.39/0.91	thf(decl_129, type, powersetI1: $o).
0.39/0.91	thf(decl_130, type, powersetE1: $o).
0.39/0.91	thf(decl_131, type, inPowerset: $o).
0.39/0.91	thf(decl_132, type, powersetsubset: $o).
0.39/0.91	thf(decl_133, type, sepInPowerset: $o).
0.39/0.91	thf(decl_134, type, sepSubset: $o).
0.39/0.91	thf(decl_135, type, binunion: $i > $i > $i).
0.39/0.91	thf(decl_136, type, binunionIL: $o).
0.39/0.91	thf(decl_137, type, upairset2IR: $o).
0.39/0.91	thf(decl_138, type, binunionIR: $o).
0.39/0.91	thf(decl_139, type, binunionEcases: $o).
0.39/0.91	thf(decl_140, type, binunionE: $o).
0.39/0.91	thf(decl_141, type, binunionLsub: $o).
0.39/0.91	thf(decl_142, type, binunionRsub: $o).
0.39/0.91	thf(decl_143, type, binintersect: $i > $i > $i).
0.39/0.91	thf(decl_144, type, binintersectI: $o).
0.39/0.91	thf(decl_145, type, binintersectSubset5: $o).
0.39/0.91	thf(decl_146, type, binintersectEL: $o).
0.39/0.91	thf(decl_147, type, binintersectLsub: $o).
0.39/0.91	thf(decl_148, type, binintersectSubset2: $o).
0.39/0.91	thf(decl_149, type, binintersectSubset3: $o).
0.39/0.91	thf(decl_150, type, binintersectER: $o).
0.39/0.91	thf(decl_151, type, disjointsetsI1: $o).
0.39/0.91	thf(decl_152, type, binintersectRsub: $o).
0.39/0.91	thf(decl_153, type, binintersectSubset4: $o).
0.39/0.91	thf(decl_154, type, binintersectSubset1: $o).
0.39/0.91	thf(decl_155, type, bs114d: $o).
0.39/0.91	thf(decl_157, type, setminus: $i > $i > $i).
0.39/0.91	thf(decl_158, type, setminusI: $o).
0.39/0.91	thf(decl_159, type, setminusEL: $o).
0.39/0.91	thf(decl_160, type, setminusER: $o).
0.39/0.91	thf(decl_161, type, setminusSubset2: $o).
0.39/0.91	thf(decl_162, type, setminusERneg: $o).
0.39/0.91	thf(decl_163, type, setminusELneg: $o).
0.39/0.91	thf(decl_164, type, setminusILneg: $o).
0.39/0.91	thf(decl_165, type, setminusIRneg: $o).
0.39/0.91	thf(decl_166, type, setminusLsub: $o).
0.39/0.91	thf(decl_167, type, setminusSubset1: $o).
0.39/0.91	thf(decl_168, type, symdiff: $i > $i > $i).
0.39/0.91	thf(decl_169, type, symdiffE: $o).
0.39/0.91	thf(decl_170, type, symdiffI1: $o).
0.39/0.91	thf(decl_171, type, symdiffI2: $o).
0.39/0.91	thf(decl_172, type, symdiffIneg1: $o).
0.39/0.91	thf(decl_173, type, symdiffIneg2: $o).
0.39/0.91	thf(decl_174, type, iskpair: $i > $o).
0.39/0.91	thf(decl_175, type, secondinupair: $o).
0.39/0.91	thf(decl_176, type, setukpairIL: $o).
0.39/0.91	thf(decl_177, type, setukpairIR: $o).
0.39/0.91	thf(decl_178, type, kpairiskpair: $o).
0.39/0.91	thf(decl_179, type, kpair: $i > $i > $i).
0.39/0.91	thf(decl_180, type, kpairp: $o).
0.39/0.91	thf(decl_181, type, cartprod: $i > $i > $i).
0.39/0.91	thf(decl_182, type, singletonsubset: $o).
0.39/0.91	thf(decl_183, type, singletoninpowerset: $o).
0.39/0.91	thf(decl_184, type, singletoninpowunion: $o).
0.39/0.91	thf(decl_185, type, upairset2E: $o).
0.39/0.91	thf(decl_186, type, upairsubunion: $o).
0.39/0.91	thf(decl_187, type, upairinpowunion: $o).
0.39/0.91	thf(decl_188, type, ubforcartprodlem1: $o).
0.39/0.91	thf(decl_189, type, ubforcartprodlem2: $o).
0.39/0.91	thf(decl_190, type, ubforcartprodlem3: $o).
0.39/0.91	thf(decl_191, type, cartprodpairin: $o).
0.39/0.91	thf(decl_192, type, cartprodmempair1: $o).
0.39/0.91	thf(decl_193, type, cartprodmempair: $o).
0.39/0.91	thf(decl_194, type, setunionE2: $o).
0.39/0.91	thf(decl_195, type, setunionsingleton1: $o).
0.39/0.91	thf(decl_196, type, setunionsingleton2: $o).
0.39/0.91	thf(decl_197, type, setunionsingleton: $o).
0.39/0.91	thf(decl_198, type, singleton: $i > $o).
0.39/0.91	thf(decl_199, type, singletonprop: $o).
0.39/0.91	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
0.39/0.91	thf(decl_201, type, ex1E1: $o).
0.39/0.91	thf(decl_202, type, ex1I: $o).
0.39/0.91	thf(decl_203, type, ex1I2: $o).
0.39/0.91	thf(decl_204, type, singletonsuniq: $o).
0.39/0.91	thf(decl_209, type, setukpairinjL1: $o).
0.39/0.91	thf(decl_210, type, kfstsingleton: $o).
0.39/0.91	thf(decl_211, type, theprop: $o).
0.39/0.91	thf(decl_212, type, kfst: $i > $i).
0.39/0.91	thf(decl_213, type, kfstpairEq: $o).
0.39/0.91	thf(decl_214, type, cartprodfstin: $o).
0.39/0.91	thf(decl_215, type, setukpairinjL2: $o).
0.39/0.91	thf(decl_216, type, setukpairinjL: $o).
0.39/0.91	thf(decl_217, type, setukpairinjR11: $o).
0.39/0.91	thf(decl_218, type, setukpairinjR12: $o).
0.39/0.91	thf(decl_219, type, setukpairinjR1: $o).
0.39/0.91	thf(decl_220, type, upairequniteq: $o).
0.39/0.91	thf(decl_221, type, setukpairinjR2: $o).
0.39/0.91	thf(decl_222, type, setukpairinjR: $o).
0.39/0.91	thf(decl_223, type, ksndsingleton: $o).
0.39/0.91	thf(decl_224, type, ksnd: $i > $i).
0.39/0.91	thf(decl_225, type, ksndpairEq: $o).
0.39/0.91	thf(decl_226, type, kpairsurjEq: $o).
0.39/0.91	thf(decl_227, type, cartprodsndin: $o).
0.39/0.91	thf(decl_228, type, cartprodpairmemEL: $o).
0.39/0.91	thf(decl_229, type, cartprodpairmemER: $o).
0.39/0.91	thf(decl_230, type, cartprodmempaircEq: $o).
0.39/0.91	thf(decl_231, type, cartprodfstpairEq: $o).
0.39/0.91	thf(decl_232, type, cartprodsndpairEq: $o).
0.39/0.91	thf(decl_233, type, cartprodpairsurjEq: $o).
0.39/0.91	thf(decl_234, type, breln: $i > $i > $i > $o).
0.39/0.91	thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
0.39/0.91	thf(decl_236, type, dpsetconstrI: $o).
0.39/0.91	thf(decl_237, type, dpsetconstrSub: $o).
0.39/0.91	thf(decl_238, type, setOfPairsIsBReln: $o).
0.39/0.91	thf(decl_239, type, dpsetconstrERa: $o).
0.39/0.91	thf(decl_240, type, dpsetconstrEL1: $o).
0.39/0.91	thf(decl_241, type, dpsetconstrEL2: $o).
0.39/0.91	thf(decl_242, type, dpsetconstrER: $o).
0.39/0.91	thf(decl_243, type, func: $i > $i > $i > $o).
0.39/0.91	thf(decl_244, type, funcSet: $i > $i > $i).
0.39/0.91	thf(decl_245, type, funcImageSingleton: $o).
0.39/0.91	thf(decl_246, type, apProp: $o).
0.39/0.91	thf(decl_247, type, ap: $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_248, type, app: $o).
0.39/0.91	thf(decl_249, type, infuncsetfunc: $o).
0.39/0.91	thf(decl_250, type, ap2p: $o).
0.39/0.91	thf(decl_251, type, funcinfuncset: $o).
0.39/0.91	thf(decl_252, type, lamProp: $o).
0.39/0.91	thf(decl_253, type, lam: $i > $i > ($i > $i) > $i).
0.39/0.91	thf(decl_254, type, lamp: $o).
0.39/0.91	thf(decl_255, type, lam2p: $o).
0.39/0.91	thf(decl_256, type, brelnall1: $o).
0.39/0.91	thf(decl_257, type, brelnall2: $o).
0.39/0.91	thf(decl_258, type, ex1E2: $o).
0.39/0.91	thf(decl_259, type, funcGraphProp1: $o).
0.39/0.91	thf(decl_260, type, funcGraphProp3: $o).
0.39/0.91	thf(decl_261, type, funcGraphProp2: $o).
0.39/0.91	thf(decl_262, type, funcextLem: $o).
0.39/0.91	thf(decl_263, type, funcGraphProp4: $o).
0.39/0.91	thf(decl_264, type, subbreln: $o).
0.39/0.91	thf(decl_265, type, eqbreln: $o).
0.39/0.91	thf(decl_266, type, funcext: $o).
0.39/0.91	thf(decl_267, type, funcext2: $o).
0.39/0.91	thf(decl_268, type, ap2apEq1: $o).
0.39/0.91	thf(decl_269, type, ap2apEq2: $o).
0.39/0.91	thf(decl_270, type, beta1: $o).
0.39/0.91	thf(decl_271, type, eta1: $o).
0.39/0.91	thf(decl_272, type, lam2lamEq: $o).
0.39/0.91	thf(decl_273, type, beta2: $o).
0.39/0.91	thf(decl_274, type, eta2: $o).
0.39/0.91	thf(decl_275, type, iffalseProp1: $o).
0.39/0.91	thf(decl_276, type, iffalseProp2: $o).
0.39/0.91	thf(decl_277, type, iftrueProp1: $o).
0.39/0.91	thf(decl_278, type, iftrueProp2: $o).
0.39/0.91	thf(decl_279, type, ifSingleton: $o).
0.39/0.91	thf(decl_280, type, if: $i > $o > $i > $i > $i).
0.39/0.91	thf(decl_281, type, ifp: $o).
0.39/0.91	thf(decl_282, type, theeq: $o).
0.39/0.91	thf(decl_283, type, iftrue: $o).
0.39/0.91	thf(decl_284, type, iffalse: $o).
0.39/0.91	thf(decl_285, type, iftrueorfalse: $o).
0.39/0.91	thf(decl_286, type, binintersectT_lem: $o).
0.39/0.91	thf(decl_287, type, binunionT_lem: $o).
0.39/0.91	thf(decl_288, type, powersetT_lem: $o).
0.39/0.91	thf(decl_289, type, setminusT_lem: $o).
0.39/0.91	thf(decl_290, type, complementT_lem: $o).
0.39/0.91	thf(decl_291, type, setextT: $o).
0.39/0.91	thf(decl_292, type, subsetTI: $o).
0.39/0.91	thf(decl_293, type, powersetTI1: $o).
0.39/0.91	thf(decl_294, type, powersetTE1: $o).
0.39/0.91	thf(decl_295, type, complementTI1: $o).
0.39/0.91	thf(decl_296, type, complementTE1: $o).
0.39/0.91	thf(decl_297, type, binintersectTELcontra: $o).
0.39/0.91	thf(decl_298, type, binintersectTERcontra: $o).
0.39/0.91	thf(decl_299, type, contrasubsetT: $o).
0.39/0.91	thf(decl_300, type, contrasubsetT1: $o).
0.39/0.91	thf(decl_301, type, contrasubsetT2: $o).
0.39/0.91	thf(decl_302, type, contrasubsetT3: $o).
0.39/0.91	thf(decl_303, type, doubleComplementI1: $o).
0.39/0.91	thf(decl_304, type, doubleComplementE1: $o).
0.39/0.91	thf(decl_305, type, doubleComplementSub1: $o).
0.39/0.91	thf(decl_306, type, doubleComplementSub2: $o).
0.39/0.91	thf(decl_307, type, doubleComplementEq: $o).
0.39/0.91	thf(decl_308, type, complementTnotintersectT: $o).
0.39/0.91	thf(decl_309, type, complementImpComplementIntersect: $o).
0.39/0.91	thf(decl_310, type, complementSubsetComplementIntersect: $o).
0.39/0.91	thf(decl_311, type, complementInPowersetComplementIntersect: $o).
0.39/0.91	thf(decl_312, type, contraSubsetComplement: $o).
0.39/0.91	thf(decl_313, type, complementTcontraSubset: $o).
0.39/0.91	thf(decl_314, type, binunionTILcontra: $o).
0.39/0.91	thf(decl_315, type, binunionTIRcontra: $o).
0.39/0.91	thf(decl_316, type, inIntersectImpInUnion: $o).
0.39/0.91	thf(decl_317, type, inIntersectImpInUnion2: $o).
0.39/0.91	thf(decl_318, type, inIntersectImpInIntersectUnions: $o).
0.39/0.91	thf(decl_319, type, intersectInPowersetIntersectUnions: $o).
0.39/0.91	thf(decl_320, type, inComplementUnionImpNotIn1: $o).
0.39/0.91	thf(decl_321, type, inComplementUnionImpInComplement1: $o).
0.39/0.91	thf(decl_322, type, binunionTE: $o).
0.39/0.91	thf(decl_323, type, binunionTEcontra: $o).
0.39/0.91	thf(decl_324, type, demorgan2a1: $o).
0.39/0.91	thf(decl_325, type, complementUnionInPowersetComplement: $o).
0.39/0.91	thf(decl_326, type, demorgan2a2: $o).
0.39/0.91	thf(decl_327, type, demorgan1a: $o).
0.39/0.91	thf(decl_328, type, demorgan1b: $o).
0.39/0.91	thf(decl_329, type, demorgan1: $o).
0.39/0.91	thf(decl_330, type, demorgan2a: $o).
0.39/0.91	thf(decl_331, type, demorgan2b2: $o).
0.39/0.91	thf(decl_332, type, demorgan2b: $o).
0.39/0.91	thf(decl_333, type, demorgan2: $o).
0.39/0.91	thf(decl_334, type, woz13rule0: $o).
0.39/0.91	thf(decl_335, type, woz13rule1: $o).
0.39/0.91	thf(decl_336, type, woz13rule2: $o).
0.39/0.91	thf(decl_337, type, woz13rule3: $o).
0.39/0.91	thf(decl_338, type, woz13rule4: $o).
0.39/0.91	thf(decl_339, type, woz1_1: $o).
0.39/0.91	thf(decl_340, type, woz1_2: $o).
0.39/0.91	thf(decl_341, type, woz1_3: $o).
0.39/0.91	thf(decl_342, type, woz1_4: $o).
0.39/0.91	thf(decl_343, type, woz1_5: $o).
0.39/0.91	thf(decl_344, type, breln1: $i > $i > $o).
0.39/0.91	thf(decl_345, type, breln1all2: $o).
0.39/0.91	thf(decl_346, type, breln1Set: $i > $i).
0.39/0.91	thf(decl_347, type, breln1SetBreln1: $o).
0.39/0.91	thf(decl_354, type, choice2fnsingleton: $o).
0.39/0.91	thf(decl_355, type, setOfPairsIsBReln1: $o).
0.39/0.91	thf(decl_356, type, breln1all1: $o).
0.39/0.91	thf(decl_357, type, subbreln1: $o).
0.39/0.91	thf(decl_358, type, eqbreln1: $o).
0.39/0.91	thf(decl_359, type, breln1invset: $i > $i > $i).
0.39/0.91	thf(decl_360, type, breln1invprop: $o).
0.39/0.91	thf(decl_361, type, breln1invI: $o).
0.39/0.91	thf(decl_362, type, breln1invE: $o).
0.39/0.91	thf(decl_363, type, breln1compset: $i > $i > $i > $i).
0.39/0.91	thf(decl_364, type, breln1compprop: $o).
0.39/0.91	thf(decl_365, type, breln1compI: $o).
0.39/0.91	thf(decl_366, type, breln1compE: $o).
0.39/0.91	thf(decl_367, type, breln1compEex: $o).
0.39/0.91	thf(decl_368, type, breln1unionprop: $o).
0.39/0.91	thf(decl_369, type, breln1unionIL: $o).
0.39/0.91	thf(decl_370, type, breln1unionIR: $o).
0.39/0.91	thf(decl_371, type, breln1unionI: $o).
0.39/0.91	thf(decl_372, type, breln1unionE: $o).
0.39/0.91	thf(decl_373, type, breln1unionEcases: $o).
0.39/0.91	thf(decl_374, type, breln1unionCommutes: $o).
0.39/0.91	thf(decl_375, type, woz2Ex: $o).
0.39/0.91	thf(decl_376, type, woz2W: $o).
0.39/0.91	thf(decl_377, type, woz2A: $o).
0.39/0.91	thf(decl_378, type, woz2B: $o).
0.39/0.91	thf(decl_379, type, image1Ex: $o).
0.39/0.91	thf(decl_380, type, image1Ex1: $o).
0.39/0.91	thf(decl_381, type, image1: $i > ($i > $i) > $i).
0.39/0.91	thf(decl_382, type, image1Equiv: $o).
0.39/0.91	thf(decl_383, type, image1E: $o).
0.39/0.91	thf(decl_384, type, image1I: $o).
0.39/0.91	thf(decl_385, type, injective: $i > $i > $i > $o).
0.39/0.91	thf(decl_386, type, injFuncSet: $i > $i > $i).
0.39/0.91	thf(decl_387, type, epred1_0: $o).
0.39/0.91	thf(decl_388, type, esk1_2: $i > $i > $i).
0.39/0.91	thf(decl_389, type, esk2_2: $i > $i > $i).
0.39/0.91	thf(decl_390, type, esk3_2: $i > $i > $i).
0.39/0.91	thf(decl_391, type, esk4_1: $i > $i).
0.39/0.91	thf(decl_392, type, esk5_2: ($i > $i > $o) > $i > $i).
0.39/0.91	thf(decl_393, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.39/0.91	thf(decl_394, type, esk7_2: ($i > $i > $o) > $i > $i).
0.39/0.91	thf(decl_395, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.39/0.91	thf(decl_396, type, esk9_1: $i > $i).
0.39/0.91	thf(decl_397, type, esk10_2: ($i > $o) > $i > $i).
0.39/0.91	thf(decl_398, type, esk11_2: ($i > $o) > $i > $i).
0.39/0.91	thf(decl_399, type, esk12_1: ($i > $o) > $i).
0.39/0.91	thf(decl_400, type, esk13_2: ($i > $o) > $i > $i).
0.39/0.91	thf(decl_401, type, esk14_1: ($i > $o) > $i).
0.39/0.91	thf(decl_402, type, esk15_2: $i > $i > $i).
0.39/0.91	thf(decl_403, type, esk16_2: $i > $i > $i).
0.39/0.91	thf(decl_404, type, esk17_1: $i > $i).
0.39/0.91	thf(decl_405, type, esk18_1: $i > $i).
0.39/0.91	thf(decl_406, type, esk19_1: $i > $i).
0.39/0.91	thf(decl_407, type, esk20_2: $i > $i > $i).
0.39/0.91	thf(decl_408, type, esk21_3: $i > $i > $o > $i).
0.39/0.91	thf(decl_409, type, esk22_2: ($i > $o) > $i > $i).
0.39/0.91	thf(decl_410, type, esk23_1: ($i > $o) > $i).
0.39/0.91	thf(decl_411, type, esk24_1: $i > $i).
0.39/0.91	thf(decl_412, type, esk25_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_413, type, esk26_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_414, type, esk27_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_415, type, esk28_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_416, type, esk29_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_417, type, esk30_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_418, type, esk31_2: ($i > $o) > $i > $i).
0.39/0.91	thf(decl_419, type, esk32_1: ($i > $o) > $i).
0.39/0.91	thf(decl_420, type, esk33_1: ($i > $o) > $i).
0.39/0.91	thf(decl_421, type, esk34_1: ($i > $o) > $i).
0.39/0.91	thf(decl_422, type, esk35_1: ($i > $o) > $i).
0.39/0.91	thf(decl_423, type, esk36_2: ($i > $o) > $i > $i).
0.39/0.91	thf(decl_424, type, esk37_1: ($i > $o) > $i).
0.39/0.91	thf(decl_425, type, esk38_2: ($i > $o) > $i > $i).
0.39/0.91	thf(decl_426, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.39/0.91	thf(decl_427, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.39/0.91	thf(decl_428, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.39/0.91	thf(decl_429, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.39/0.91	thf(decl_430, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.39/0.91	thf(decl_431, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.39/0.91	thf(decl_432, type, esk45_2: ($i > $o) > $i > $i).
0.39/0.91	thf(decl_433, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.39/0.91	thf(decl_434, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.39/0.91	thf(decl_435, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.39/0.91	thf(decl_436, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.39/0.91	thf(decl_437, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.39/0.91	thf(decl_438, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.39/0.91	thf(decl_439, type, esk52_2: $i > $i > $i).
0.39/0.91	thf(decl_440, type, esk53_2: $i > $i > $i).
0.39/0.91	thf(decl_441, type, esk54_2: $i > $i > $i).
0.39/0.91	thf(decl_442, type, esk55_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_443, type, esk56_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_444, type, esk57_2: $i > $i > $i).
0.39/0.91	thf(decl_445, type, esk58_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_446, type, esk59_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_447, type, esk60_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_448, type, esk61_3: $i > ($i > $o) > $i > $i).
0.39/0.91	thf(decl_449, type, esk62_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_450, type, esk63_2: $i > ($i > $o) > $i).
0.39/0.91	thf(decl_451, type, esk64_3: $i > $i > ($i > $i) > $i).
0.39/0.91	thf(decl_452, type, esk65_3: $i > $i > ($i > $i) > $i).
0.39/0.91	thf(decl_453, type, esk66_3: $i > $i > ($i > $i) > $i).
0.39/0.91	thf(decl_454, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
0.39/0.91	thf(decl_455, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
0.39/0.91	thf(decl_456, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
0.39/0.91	thf(decl_457, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
0.39/0.91	thf(decl_458, type, esk71_4: $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_459, type, esk72_4: $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_460, type, esk73_4: $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_461, type, esk74_4: $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_462, type, esk75_4: $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_463, type, esk76_4: $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_464, type, esk77_4: $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_465, type, esk78_4: $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_466, type, esk79_4: $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_467, type, esk80_3: $i > $i > ($i > $i) > $i).
0.39/0.91	thf(decl_468, type, esk81_3: $i > $i > ($i > $i) > $i).
0.39/0.91	thf(decl_469, type, esk82_3: $i > $i > ($i > $i) > $i).
0.39/0.91	thf(decl_470, type, esk83_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_471, type, esk84_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_472, type, esk85_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_473, type, esk86_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_474, type, esk87_3: $i > $i > ($i > $o) > $i).
0.39/0.91	thf(decl_475, type, esk88_3: $i > $i > ($i > $o) > $i).
0.39/0.91	thf(decl_476, type, esk89_3: $i > $i > ($i > $o) > $i).
0.39/0.91	thf(decl_477, type, esk90_3: $i > $i > ($i > $o) > $i).
0.39/0.91	thf(decl_478, type, esk91_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_479, type, esk92_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_480, type, esk93_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_481, type, esk94_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_482, type, esk95_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_483, type, esk96_3: $i > $i > $i > $i).
0.39/0.91	thf(decl_484, type, esk97_5: $i > $i > $i > $i > $i > $i).
0.39/0.91	thf(decl_485, type, esk98_6: $i > $i > $i > $i > $i > $o > $i).
0.39/0.91	thf(decl_486, type, esk99_2: $i > ($i > $i) > $i).
0.39/0.91	thf(decl_487, type, esk100_3: $i > ($i > $i) > $i > $i).
0.39/0.91	thf(decl_488, type, esk101_2: $i > ($i > $i) > $i).
0.39/0.91	thf(decl_489, type, esk102_3: $i > ($i > $i) > $i > $i).
0.39/0.91	thf(decl_490, type, esk103_3: $i > ($i > $i) > $i > $i).
0.39/0.91	thf(decl_491, type, esk104_3: $i > ($i > $i) > $i > $i).
0.39/0.91	thf(decl_492, type, esk105_3: $i > ($i > $i) > $i > $i).
0.39/0.91	thf(decl_493, type, esk106_3: $i > ($i > $i) > $i > $i).
0.39/0.91	thf(decl_494, type, esk107_0: $i).
0.39/0.91	thf(decl_495, type, esk108_0: $i).
0.39/0.91	thf(decl_496, type, esk109_0: $i).
0.39/0.91	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', descr__Cong)).
0.39/0.91	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', exu)).
0.39/0.91	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', nonempty)).
0.39/0.91	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', exuE2)).
0.39/0.91	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', nonemptyI)).
0.39/0.91	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', exuE3e)).
0.39/0.91	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', exuE1)).
0.39/0.91	thf(image1Ex1, axiom, ((image1Ex1)<=>![X4:$i, X58:$i > $i]:((exu @ (^[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X58 @ X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', image1Ex1)).
0.39/0.91	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', exuEu)).
0.39/0.91	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', exu__Cong)).
0.39/0.91	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', exuE3u)).
0.39/0.91	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', exuI2)).
0.39/0.91	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', exuI3)).
0.39/0.91	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', exuI1)).
0.39/0.91	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', descrp)).
0.39/0.91	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', replAx)).
0.39/0.91	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', dsetconstr__Cong)).
0.39/0.91	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', sepInPowerset)).
0.39/0.91	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ksndsingleton)).
0.39/0.91	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', dpsetconstrERa)).
0.39/0.91	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', dpsetconstrEL1)).
0.39/0.91	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', nonemptyImpWitness)).
0.39/0.91	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', dpsetconstrER)).
0.39/0.91	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', funcImageSingleton)).
0.39/0.91	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setoftrueEq)).
0.39/0.91	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', nonemptyE1)).
0.39/0.91	thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', lamProp)).
0.39/0.91	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', dsetconstrER)).
0.39/0.91	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', dsetconstrEL)).
0.39/0.91	thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', lam2p)).
0.39/0.91	thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', beta1)).
0.39/0.91	thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X39)&((X14)=(X2)))|(~((X39))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', iffalseProp1)).
0.39/0.91	thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((X40)&((X14)=(X2)))|(~((X40))&((X14)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', iffalseProp2)).
0.39/0.91	thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X41)&((X14)=(X2)))|(~((X41))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', iftrueProp1)).
0.39/0.91	thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((X42)&((X14)=(X2)))|(~((X42))&((X14)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', iftrueProp2)).
0.39/0.91	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ex1E1)).
0.39/0.91	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ex1I)).
0.39/0.91	thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', eta2)).
0.39/0.91	thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', beta2)).
0.39/0.91	thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', lam2lamEq)).
0.39/0.91	thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', eta1)).
0.39/0.91	thf(image1E, axiom, ((image1E)<=>![X4:$i, X60:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[X3:$i]:(X60 @ X3))))=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X60 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', image1E)).
0.39/0.91	thf(injFuncSet, axiom, ((injFuncSet)=(^[X4:$i, X5:$i]:(dsetconstr @ (funcSet @ X4 @ X5) @ (^[X29:$i]:((injective @ X4 @ X5 @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', injFuncSet)).
0.39/0.91	thf(image1I, axiom, ((image1I)<=>![X4:$i, X61:$i > $i, X2:$i]:((?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X61 @ X3))))=>(in @ X2 @ (image1 @ X4 @ (^[X3:$i]:(X61 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', image1I)).
0.39/0.91	thf(image1Equiv, axiom, ((image1Equiv)<=>![X4:$i, X59:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[X3:$i]:(X59 @ X3))))<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X59 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', image1Equiv)).
0.39/0.91	thf(setOfPairsIsBReln1, axiom, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((X53 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setOfPairsIsBReln1)).
0.39/0.91	thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((X43)&((X14)=(X2)))|(~((X43))&((X14)=(X3))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ifSingleton)).
0.39/0.91	thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ex1E2)).
0.39/0.91	thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', lamp)).
0.39/0.91	thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', apProp)).
0.39/0.91	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', dpsetconstrEL2)).
0.39/0.91	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setOfPairsIsBReln)).
0.39/0.91	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', dpsetconstrSub)).
0.39/0.91	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', dpsetconstrI)).
0.39/0.91	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', kfstsingleton)).
0.39/0.91	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ex1I2)).
0.39/0.91	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', singletonprop)).
0.39/0.91	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', sepSubset)).
0.39/0.91	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', emptyE1)).
0.39/0.91	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', nonemptyI1)).
0.39/0.91	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setbeta)).
0.39/0.91	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', dsetconstrI)).
0.39/0.91	thf(injFuncInInjFuncSet, conjecture, ((((setadjoinAx)=>((powersetAx)=>((((omegaSAx)=>(((replAx)=>(((wellorderingAx)=>((descrp)=>((dsetconstrI)=>(((((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((((setext)=>(((noeltsimpempty)=>((setbeta)=>((((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>(((setadjoinE)=>((setadjoinOr)=>(((powersetI)=>((emptyinPowerset)=>(((powersetE)=>(((((((uniqinunit)=>((notinsingleton)=>(((((upairsetIL)=>((upairsetIR)=>((emptyE1)=>(((quantDeMorgan1)=>((quantDeMorgan2)=>(((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>(((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((((powerset__Cong)=>((setunion__Cong)=>(((exuEu)=>((((((((((((notequalI1)=>((notequalI2)=>((((setadjoinSub)=>((setadjoinSub2)=>(((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>(((powersetsubset)=>(((sepSubset)=>(((upairset2IR)=>((binunionIR)=>(((((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>(((((binintersectSubset3)=>((((binintersectRsub)=>(((((setminusI)=>((setminusEL)=>((((setminusERneg)=>((((((((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>(((secondinupair)=>(((setukpairIR)=>((((((singletoninpowunion)=>((upairset2E)=>((((ubforcartprodlem1)=>(((((((setunionE2)=>((setunionsingleton1)=>(((((ex1E1)=>((ex1I)=>((((setukpairinjL1)=>(((((cartprodfstin)=>(((setukpairinjL)=>((((setukpairinjR1)=>(((setukpairinjR2)=>(((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>(((cartprodpairmemEL)=>((cartprodpairmemER)=>((cartprodmempaircEq)=>((((((((dpsetconstrERa)=>((dpsetconstrEL1)=>(((dpsetconstrER)=>((funcImageSingleton)=>(((app)=>((infuncsetfunc)=>((((lamProp)=>(((lam2p)=>(((((funcGraphProp1)=>((((funcextLem)=>(((subbreln)=>(((((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((((((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>((iftrueProp2)=>((((theeq)=>((iftrue)=>((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((((setminusT_lem)=>((complementT_lem)=>((setextT)=>(((powersetTI1)=>(((complementTI1)=>(((((contrasubsetT)=>((((((doubleComplementE1)=>((((doubleComplementEq)=>(((complementImpComplementIntersect)=>((complementSubsetComplementIntersect)=>(((((binunionTILcontra)=>((((((((((((complementUnionInPowersetComplement)=>((((demorgan1b)=>((demorgan1)=>((((demorgan2b)=>((demorgan2)=>((woz13rule0)=>((woz13rule1)=>((woz13rule2)=>(((woz13rule4)=>((((woz1_3)=>(((woz1_5)=>((breln1all2)=>((breln1SetBreln1)=>((((breln1all1)=>((subbreln1)=>((eqbreln1)=>((breln1invprop)=>((breln1invI)=>((((breln1compI)=>((breln1compE)=>((((breln1unionIL)=>(((((breln1unionEcases)=>((breln1unionCommutes)=>((((woz2A)=>(((image1Ex)=>((image1Ex1)=>(((image1E)=>(![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((in @ X29 @ (injFuncSet @ X4 @ X5))<=(injective @ X4 @ X5 @ X29))))<=(image1I)))<=(image1Equiv))))<=(woz2B)))<=(woz2W))<=(woz2Ex))))<=(breln1unionE))<=(breln1unionI))<=(breln1unionIR)))<=(breln1unionprop))<=(breln1compEex))))<=(breln1compprop))<=(breln1invE)))))))<=(setOfPairsIsBReln1))<=(choice2fnsingleton)))))<=(woz1_4)))<=(woz1_2))<=(woz1_1)))<=(woz13rule3)))))))<=(demorgan2b2))<=(demorgan2a))))<=(demorgan1a))<=(demorgan2a2)))<=(demorgan2a1))<=(binunionTEcontra))<=(binunionTE))<=(inComplementUnionImpInComplement1))<=(inComplementUnionImpNotIn1))<=(intersectInPowersetIntersectUnions))<=(inIntersectImpInIntersectUnions))<=(inIntersectImpInUnion2))<=(inIntersectImpInUnion))<=(binunionTIRcontra)))<=(complementTcontraSubset))<=(contraSubsetComplement))<=(complementInPowersetComplementIntersect))))<=(complementTnotintersectT)))<=(doubleComplementSub2))<=(doubleComplementSub1)))<=(doubleComplementI1))<=(contrasubsetT3))<=(contrasubsetT2))<=(contrasubsetT1)))<=(binintersectTERcontra))<=(binintersectTELcontra))<=(complementTE1)))<=(powersetTE1)))<=(subsetTI)))))<=(powersetT_lem))<=(binunionT_lem)))))))<=(ifp))<=(ifSingleton))))))<=(eta2))<=(beta2))<=(lam2lamEq))<=(eta1)))))<=(funcext2))<=(funcext))<=(eqbreln)))<=(funcGraphProp4)))<=(funcGraphProp2))<=(funcGraphProp3)))<=(ex1E2))<=(brelnall2))<=(brelnall1)))<=(lamp)))<=(funcinfuncset))<=(ap2p))))<=(apProp))))<=(dpsetconstrEL2))))<=(setOfPairsIsBReln))<=(dpsetconstrSub))<=(dpsetconstrI))<=(cartprodpairsurjEq))<=(cartprodsndpairEq))<=(cartprodfstpairEq)))))<=(cartprodsndin)))))<=(setukpairinjR)))<=(upairequniteq)))<=(setukpairinjR12))<=(setukpairinjR11)))<=(setukpairinjL2)))<=(kfstpairEq))<=(theprop))<=(kfstsingleton)))<=(singletonsuniq))<=(ex1I2))))<=(singletonprop))<=(setunionsingleton))<=(setunionsingleton2))))<=(cartprodmempair))<=(cartprodmempair1))<=(cartprodpairin))<=(ubforcartprodlem3))<=(ubforcartprodlem2)))<=(upairinpowunion))<=(upairsubunion))))<=(singletoninpowerset))<=(singletonsubset))<=(kpairp))<=(kpairiskpair)))<=(setukpairIL)))<=(symdiffIneg2)))))<=(symdiffE))<=(setminusSubset1))<=(setminusLsub))<=(setminusIRneg))<=(setminusILneg))<=(setminusELneg)))<=(setminusSubset2))<=(setminusER))))<=(bs114d))<=(binintersectSubset1))<=(binintersectSubset4)))<=(disjointsetsI1))<=(binintersectER)))<=(binintersectSubset2))<=(binintersectLsub))<=(binintersectEL)))))<=(binunionLsub))<=(binunionE))<=(binunionEcases))))<=(binunionIL)))<=(sepInPowerset)))<=(inPowerset))))))<=(subset2powerset))))<=(subsetTrans))<=(subsetRefl))))<=(notsubsetI))<=(subsetE2))<=(subsetE))<=(emptysetsubset))<=(subsetI2))<=(eqimpsubset1))<=(eqimpsubset2))<=(subsetI1))<=(dsetconstr__Cong))<=(descr__Cong)))<=(omega__Cong))))<=(setadjoin__Cong))<=(emptyset__Cong))))))))))<=(notdexE)))))<=(quantDeMorgan3))))<=(vacuousDall)))))<=(upairsetE))<=(singletonsswitch))<=(eqinunit))))<=(nonemptyImpWitness))<=(exuE2))<=(subPowSU))<=(setunionE))<=(setunionI)))<=(emptyInPowerset))))<=(setoftrueEq))))<=(setadjoinIR)))))<=(nonemptyI))<=(nonemptyE1))))<=(emptyI)))<=(exuE3e))<=(notinemptyset)))))<=(exuE1))<=(dsetconstrER))<=(dsetconstrEL)))))<=(foundationAx)))<=(omegaIndAx)))<=(omega0Ax))<=(setunionAx))))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', injFuncInInjFuncSet)).
0.39/0.91	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setextAx)).
0.39/0.91	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectSubset2)).
0.39/0.91	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ubforcartprodlem1)).
0.39/0.91	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectLsub)).
0.39/0.91	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectEL)).
0.39/0.91	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setukpairinjL)).
0.39/0.91	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionLsub)).
0.39/0.91	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionE)).
0.39/0.91	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionEcases)).
0.39/0.91	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setukpairinjR1)).
0.39/0.91	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionIL)).
0.39/0.91	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setukpairinjR2)).
0.39/0.91	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', inPowerset)).
0.39/0.91	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subset2powerset)).
0.39/0.91	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subsetTrans)).
0.39/0.91	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subsetRefl)).
0.39/0.91	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', notsubsetI)).
0.39/0.91	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ksndpairEq)).
0.39/0.91	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subsetE2)).
0.39/0.91	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setunionE2)).
0.39/0.91	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subsetE)).
0.39/0.91	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', emptysetsubset)).
0.39/0.91	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subsetI2)).
0.39/0.91	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', kpairsurjEq)).
0.39/0.91	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', eqimpsubset1)).
0.39/0.91	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', eqimpsubset2)).
0.39/0.91	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodpairmemEL)).
0.39/0.91	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subsetI1)).
0.39/0.91	thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ap2apEq2)).
0.39/0.91	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setunionsingleton1)).
0.39/0.91	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', omega__Cong)).
0.39/0.91	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setadjoin__Cong)).
0.39/0.91	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodpairmemER)).
0.39/0.91	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', emptyset__Cong)).
0.39/0.91	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', notdexE)).
0.39/0.91	thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodmempaircEq)).
0.39/0.91	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', quantDeMorgan3)).
0.39/0.91	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', vacuousDall)).
0.39/0.91	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', upairsetE)).
0.39/0.91	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', singletonsswitch)).
0.39/0.91	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', eqinunit)).
0.39/0.91	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subPowSU)).
0.39/0.91	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setunionE)).
0.39/0.91	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setunionI)).
0.39/0.91	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', emptyInPowerset)).
0.39/0.91	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setadjoinIR)).
0.39/0.91	thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', app)).
0.39/0.91	thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', infuncsetfunc)).
0.39/0.91	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', emptyI)).
0.39/0.91	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', notinemptyset)).
0.39/0.91	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', foundationAx)).
0.39/0.91	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', omegaIndAx)).
0.39/0.91	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', omega0Ax)).
0.39/0.91	thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', funcGraphProp1)).
0.39/0.91	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setunionAx)).
0.39/0.91	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', emptysetAx)).
0.39/0.91	thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', funcextLem)).
0.39/0.91	thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subbreln)).
0.39/0.91	thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ap2apEq1)).
0.39/0.91	thf(woz1_5, axiom, ((woz1_5)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz1_5)).
0.39/0.91	thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', theeq)).
0.39/0.91	thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', iftrue)).
0.39/0.91	thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', iffalse)).
0.39/0.91	thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', iftrueorfalse)).
0.39/0.91	thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectT_lem)).
0.39/0.91	thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusT_lem)).
0.39/0.91	thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', complementT_lem)).
0.39/0.91	thf(setextT, axiom, ((setextT)<=>![X4:$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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setextT)).
0.39/0.91	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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', powersetTI1)).
0.39/0.91	thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', complementTI1)).
0.39/0.91	thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', contrasubsetT)).
0.39/0.91	thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', doubleComplementE1)).
0.39/0.91	thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', doubleComplementEq)).
0.39/0.91	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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', complementImpComplementIntersect)).
0.39/0.91	thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', complementSubsetComplementIntersect)).
0.39/0.91	thf(binunionTILcontra, axiom, ((binunionTILcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionTILcontra)).
0.39/0.91	thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', complementUnionInPowersetComplement)).
0.39/0.91	thf(demorgan1b, axiom, ((demorgan1b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', demorgan1b)).
0.39/0.91	thf(demorgan1, axiom, ((demorgan1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ X21 @ X48))=(binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', demorgan1)).
0.39/0.91	thf(demorgan2b, axiom, ((demorgan2b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', demorgan2b)).
0.39/0.91	thf(demorgan2, axiom, ((demorgan2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binunion @ X21 @ X48))=(binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', demorgan2)).
0.39/0.91	thf(woz13rule0, axiom, ((woz13rule0)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ X4)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz13rule0)).
0.39/0.91	thf(woz13rule1, axiom, ((woz13rule1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz13rule1)).
0.39/0.91	thf(woz13rule2, axiom, ((woz13rule2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X48 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz13rule2)).
0.39/0.91	thf(woz13rule4, axiom, ((woz13rule4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((subset @ X21 @ X49)=>((subset @ X48 @ X51)=>(subset @ (binintersect @ X21 @ X48) @ (binintersect @ X49 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz13rule4)).
0.39/0.91	thf(woz1_3, axiom, ((woz1_3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz1_3)).
0.39/0.91	thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', funcext2)).
0.39/0.91	thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', funcext)).
0.39/0.91	thf(breln1all2, axiom, ((breln1all2)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1all2)).
0.39/0.91	thf(breln1SetBreln1, axiom, ((breln1SetBreln1)<=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1SetBreln1)).
0.39/0.91	thf(breln1all1, axiom, ((breln1all1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1all1)).
0.39/0.91	thf(subbreln1, axiom, ((subbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subbreln1)).
0.39/0.91	thf(eqbreln1, axiom, ((eqbreln1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', eqbreln1)).
0.39/0.91	thf(breln1invprop, axiom, ((breln1invprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>(breln1 @ X4 @ (breln1invset @ X4 @ X33))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1invprop)).
0.39/0.91	thf(breln1invI, axiom, ((breln1invI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1invI)).
0.39/0.91	thf(breln1compI, axiom, ((breln1compI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1compI)).
0.39/0.91	thf(breln1compE, axiom, ((breln1compE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))=>?[X14:$i]:((((in @ X14 @ X4)&(in @ (kpair @ X2 @ X14) @ X33))&(in @ (kpair @ X14 @ X3) @ X35))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1compE)).
0.39/0.91	thf(breln1unionIL, axiom, ((breln1unionIL)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1unionIL)).
0.39/0.91	thf(breln1unionEcases, axiom, ((breln1unionEcases)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))=>![X55:$o]:((((in @ (kpair @ X2 @ X3) @ X33)=>(X55))=>(((in @ (kpair @ X2 @ X3) @ X35)=>(X55))=>(X55)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1unionEcases)).
0.39/0.91	thf(breln1unionCommutes, axiom, ((breln1unionCommutes)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>((binunion @ X33 @ X35)=(binunion @ X35 @ X33))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1unionCommutes)).
0.39/0.91	thf(woz2A, axiom, ((woz2A)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X56:$i]:(((breln1 @ X4 @ X56)=>((breln1compset @ X4 @ (binunion @ X33 @ X35) @ X56)=(binunion @ (breln1compset @ X4 @ X33 @ X56) @ (breln1compset @ X4 @ X35 @ X56)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz2A)).
0.39/0.91	thf(image1Ex, axiom, ((image1Ex)<=>![X4:$i, X57:$i > $i]:(?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X57 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', image1Ex)).
0.39/0.91	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setukpairinjL1)).
0.39/0.91	thf(woz2B, axiom, ((woz2B)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X56:$i]:(((breln1 @ X4 @ X56)=>((breln1compset @ X4 @ (binunion @ X33 @ X35) @ X56)=(binunion @ (breln1invset @ X4 @ (breln1compset @ X4 @ (breln1invset @ X4 @ X56) @ (breln1invset @ X4 @ X35))) @ (breln1invset @ X4 @ (breln1compset @ X4 @ (breln1invset @ X4 @ X56) @ (breln1invset @ X4 @ X33)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz2B)).
0.39/0.91	thf(woz2W, axiom, ((woz2W)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>((breln1invset @ X4 @ (breln1compset @ X4 @ X33 @ X35))=(breln1compset @ X4 @ (breln1invset @ X4 @ X35) @ (breln1invset @ X4 @ X33)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz2W)).
0.39/0.91	thf(woz2Ex, axiom, ((woz2Ex)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>((X33)=(breln1invset @ X4 @ (breln1invset @ X4 @ X33)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz2Ex)).
0.39/0.91	thf(breln1unionE, axiom, ((breln1unionE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35))=>((in @ (kpair @ X2 @ X3) @ X33)|(in @ (kpair @ X2 @ X3) @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1unionE)).
0.39/0.91	thf(breln1unionI, axiom, ((breln1unionI)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(((in @ (kpair @ X2 @ X3) @ X33)|(in @ (kpair @ X2 @ X3) @ X35))=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1unionI)).
0.39/0.91	thf(breln1unionIR, axiom, ((breln1unionIR)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ (binunion @ X33 @ X35)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1unionIR)).
0.39/0.91	thf(breln1unionprop, axiom, ((breln1unionprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (binunion @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1unionprop)).
0.39/0.91	thf(breln1compEex, axiom, ((breln1compEex)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ (breln1compset @ X4 @ X33 @ X35))=>![X54:$o]:((![X14:$i]:(((in @ X14 @ X4)=>((in @ (kpair @ X2 @ X14) @ X33)=>((in @ (kpair @ X14 @ X3) @ X35)=>(X54)))))=>(X54))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1compEex)).
0.39/0.91	thf(breln1compprop, axiom, ((breln1compprop)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>(breln1 @ X4 @ (breln1compset @ X4 @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1compprop)).
0.39/0.91	thf(breln1invE, axiom, ((breln1invE)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X3 @ X2) @ (breln1invset @ X4 @ X33))=>(in @ (kpair @ X2 @ X3) @ X33))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', breln1invE)).
0.39/0.91	thf(woz1_4, axiom, ((woz1_4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz1_4)).
0.39/0.91	thf(woz1_2, axiom, ((woz1_2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ (binunion @ X21 @ X48) @ (binunion @ X49 @ X51)))=(binunion @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)) @ (binintersect @ (setminus @ X4 @ X49) @ (setminus @ X4 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz1_2)).
0.39/0.91	thf(woz1_1, axiom, ((woz1_1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz1_1)).
0.39/0.91	thf(woz13rule3, axiom, ((woz13rule3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', woz13rule3)).
0.39/0.91	thf(demorgan2b2, axiom, ((demorgan2b2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>((in @ X2 @ (setminus @ X4 @ X48))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', demorgan2b2)).
0.39/0.91	thf(demorgan2a, axiom, ((demorgan2a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', demorgan2a)).
0.39/0.91	thf(demorgan1a, axiom, ((demorgan1a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48)))=>(in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', demorgan1a)).
0.39/0.91	thf(demorgan2a2, axiom, ((demorgan2a2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', demorgan2a2)).
0.39/0.91	thf(demorgan2a1, axiom, ((demorgan2a1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', demorgan2a1)).
0.39/0.91	thf(binunionTEcontra, axiom, ((binunionTEcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionTEcontra)).
0.39/0.91	thf(binunionTE, axiom, ((binunionTE)<=>![X4:$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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionTE)).
0.39/0.91	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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', inComplementUnionImpInComplement1)).
0.39/0.91	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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', inComplementUnionImpNotIn1)).
0.39/0.91	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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', intersectInPowersetIntersectUnions)).
0.39/0.91	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:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', inIntersectImpInIntersectUnions)).
0.39/0.91	thf(inIntersectImpInUnion2, axiom, ((inIntersectImpInUnion2)<=>![X4:$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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', inIntersectImpInUnion2)).
0.39/0.91	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:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X21 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', inIntersectImpInUnion)).
0.39/0.91	thf(binunionTIRcontra, axiom, ((binunionTIRcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionTIRcontra)).
0.39/0.91	thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', complementTcontraSubset)).
0.39/0.91	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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', contraSubsetComplement)).
0.39/0.91	thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', complementInPowersetComplementIntersect)).
0.39/0.91	thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', complementTnotintersectT)).
0.39/0.91	thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', doubleComplementSub2)).
0.39/0.91	thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', doubleComplementSub1)).
0.39/0.91	thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', doubleComplementI1)).
0.39/0.91	thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', contrasubsetT3)).
0.39/0.91	thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', contrasubsetT2)).
0.39/0.91	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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', contrasubsetT1)).
0.39/0.91	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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectTERcontra)).
0.39/0.91	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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectTELcontra)).
0.39/0.91	thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', complementTE1)).
0.39/0.91	thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', powersetTE1)).
0.39/0.91	thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subsetTI)).
0.39/0.91	thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', powersetT_lem)).
0.39/0.91	thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionT_lem)).
0.39/0.91	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/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ifp)).
0.39/0.91	thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', eqbreln)).
0.39/0.91	thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', funcGraphProp4)).
0.39/0.91	thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', funcGraphProp2)).
0.39/0.91	thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', funcGraphProp3)).
0.39/0.91	thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', brelnall2)).
0.39/0.91	thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', brelnall1)).
0.39/0.91	thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', funcinfuncset)).
0.39/0.91	thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ap2p)).
0.39/0.91	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodpairsurjEq)).
0.39/0.91	thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodsndpairEq)).
0.39/0.91	thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodfstpairEq)).
0.39/0.91	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodsndin)).
0.39/0.91	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setukpairinjR)).
0.39/0.91	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', upairequniteq)).
0.39/0.91	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setukpairinjR12)).
0.39/0.91	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setukpairinjR11)).
0.39/0.91	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setukpairinjL2)).
0.39/0.91	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', kfstpairEq)).
0.39/0.91	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', theprop)).
0.39/0.91	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', singletonsuniq)).
0.39/0.91	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setunionsingleton)).
0.39/0.91	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setunionsingleton2)).
0.39/0.91	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodmempair)).
0.39/0.91	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodmempair1)).
0.39/0.91	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodpairin)).
0.39/0.91	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ubforcartprodlem3)).
0.39/0.91	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', ubforcartprodlem2)).
0.39/0.91	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', upairinpowunion)).
0.39/0.91	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', upairsubunion)).
0.39/0.91	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', singletoninpowerset)).
0.39/0.91	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', singletonsubset)).
0.39/0.91	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', kpairp)).
0.39/0.91	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', kpairiskpair)).
0.39/0.91	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setukpairIL)).
0.39/0.91	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', symdiffIneg2)).
0.39/0.91	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', symdiffE)).
0.39/0.91	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusSubset1)).
0.39/0.91	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusLsub)).
0.39/0.91	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusIRneg)).
0.39/0.91	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusILneg)).
0.39/0.91	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusELneg)).
0.39/0.91	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusSubset2)).
0.39/0.91	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusER)).
0.39/0.91	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', bs114d)).
0.39/0.91	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectSubset1)).
0.39/0.91	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectSubset4)).
0.39/0.91	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', disjointsetsI1)).
0.39/0.91	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectER)).
0.39/0.91	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', cartprodfstin)).
0.39/0.91	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', upairset2E)).
0.39/0.91	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', singletoninpowunion)).
0.39/0.91	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setukpairIR)).
0.39/0.91	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', secondinupair)).
0.39/0.91	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', symdiffIneg1)).
0.39/0.91	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', symdiffI2)).
0.39/0.91	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', symdiffI1)).
0.39/0.91	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusERneg)).
0.39/0.91	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusEL)).
0.39/0.91	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setminusI)).
0.39/0.91	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectRsub)).
0.39/0.91	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectSubset3)).
0.39/0.91	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectSubset5)).
0.39/0.91	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binintersectI)).
0.39/0.91	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionRsub)).
0.39/0.91	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', binunionIR)).
0.39/0.91	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', upairset2IR)).
0.39/0.91	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', powersetsubset)).
0.39/0.91	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', powersetE1)).
0.39/0.91	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', powersetI1)).
0.39/0.91	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', subsetemptysetimpeq)).
0.39/0.91	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setextsub)).
0.39/0.91	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setadjoinSub2)).
0.39/0.91	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setadjoinSub)).
0.39/0.91	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', notequalI2)).
0.39/0.91	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', notequalI1)).
0.39/0.91	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setunion__Cong)).
0.39/0.91	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', powerset__Cong)).
0.39/0.91	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', in__Cong)).
0.39/0.91	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', inCongP)).
0.39/0.91	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', notdallE)).
0.39/0.91	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', prop2setI)).
0.39/0.91	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', quantDeMorgan4)).
0.39/0.91	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', quantDeMorgan2)).
0.39/0.91	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', quantDeMorgan1)).
0.39/0.91	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', upairsetIR)).
0.39/0.91	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', upairsetIL)).
0.39/0.91	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', notinsingleton)).
0.39/0.91	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', uniqinunit)).
0.39/0.91	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', powersetE)).
0.39/0.91	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', emptyinPowerset)).
0.39/0.91	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', powersetI)).
0.39/0.91	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setadjoinOr)).
0.39/0.91	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setadjoinE)).
0.39/0.91	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', emptyinunitempty)).
0.39/0.91	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setadjoinIL)).
0.39/0.91	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', noeltsimpempty)).
0.39/0.91	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setext)).
0.39/0.91	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', emptysetimpfalse)).
0.39/0.91	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', emptysetE)).
0.39/0.91	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', prop2setE)).
0.39/0.91	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', wellorderingAx)).
0.39/0.91	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', omegaSAx)).
0.39/0.91	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', powersetAx)).
0.39/0.91	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.WTM760eGbU/Vampire---4.8_4567', setadjoinAx)).
0.39/0.91	thf(c_0_316, plain, ((descr__Cong)<=>![X1:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.39/0.91	thf(c_0_317, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.39/0.91	thf(c_0_318, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.39/0.91	thf(c_0_319, 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])).
0.39/0.91	thf(c_0_320, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.39/0.91	thf(c_0_321, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.39/0.91	thf(c_0_322, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.39/0.91	thf(c_0_323, plain, ((image1Ex1)<=>![X4:$i, X58:$i > $i]:((exu @ (^[Z0/* 6 */:$i]:(![X2:$i]:(((in @ X2 @ Z0)<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X58 @ X3))))))))))), inference(fof_simplification,[status(thm)],[image1Ex1])).
0.39/0.91	thf(c_0_324, 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])).
0.39/0.91	thf(c_0_325, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.39/0.91	thf(c_0_326, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.39/0.91	thf(c_0_327, 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])).
0.39/0.91	thf(c_0_328, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.39/0.91	thf(c_0_329, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.39/0.91	thf(c_0_330, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.39/0.91	thf(c_0_331, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.39/0.91	thf(c_0_332, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.39/0.91	thf(c_0_333, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.39/0.91	thf(c_0_334, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
0.39/0.91	thf(c_0_335, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X1119:$i]:((((X1 @ X1119))&![X1120:$i]:((((X1 @ X1120))=>((X1119)=(X1120)))))))=>((?[X1121:$i]:((((X17 @ X1121))&![X1122:$i]:((((X17 @ X1122))=>((X1121)=(X1122)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_316, c_0_317])).
0.39/0.91	thf(c_0_336, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
0.39/0.91	thf(c_0_337, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
0.39/0.91	thf(c_0_338, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_318])).
0.39/0.91	thf(c_0_339, plain, ((exuE2)=(![X1:$i > $o]:(((?[X1103:$i]:((((X1 @ X1103))&![X1104:$i]:((((X1 @ X1104))=>((X1103)=(X1104)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_319, c_0_317])).
0.39/0.91	thf(c_0_340, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
0.39/0.91	thf(c_0_341, plain, ((funcImageSingleton)<=>![X4:$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])).
0.39/0.91	thf(c_0_342, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.39/0.91	thf(c_0_343, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_320, c_0_318])).
0.39/0.91	thf(c_0_344, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_318])).
0.39/0.91	thf(c_0_345, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X1101:$i]:((((X1 @ X1101))&![X1102:$i]:((((X1 @ X1102))=>((X1101)=(X1102)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_321, c_0_317])).
0.39/0.91	thf(c_0_346, plain, ((exuE1)=(![X1:$i > $o]:(((?[X1099:$i]:((((X1 @ X1099))&![X1100:$i]:((((X1 @ X1100))=>((X1099)=(X1100)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_322, c_0_317])).
0.39/0.91	thf(c_0_347, plain, ((lamProp)<=>![X4:$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])).
0.39/0.91	thf(c_0_348, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.39/0.91	thf(c_0_349, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.39/0.91	thf(c_0_350, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
0.39/0.91	thf(c_0_351, plain, ((beta1)<=>![X4:$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])).
0.39/0.91	thf(c_0_352, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X39)&((Z0)=(X2)))|(~((X39))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
0.39/0.91	thf(c_0_353, plain, ((iffalseProp2)<=>![X4:$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])).
0.39/0.91	thf(c_0_354, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X41)&((Z0)=(X2)))|(~((X41))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
0.39/0.91	thf(c_0_355, plain, ((iftrueProp2)<=>![X4:$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])).
0.39/0.91	thf(c_0_356, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
0.39/0.91	thf(c_0_357, plain, ((ex1I)<=>![X4:$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])).
0.39/0.91	thf(c_0_358, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
0.39/0.91	thf(c_0_359, 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])).
0.39/0.91	thf(c_0_360, 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])).
0.39/0.91	thf(c_0_361, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
0.39/0.91	thf(c_0_362, plain, ((image1Ex1)=(![X4:$i, X58:$i > $i]:((?[X1123:$i]:(((![X2:$i]:(((in @ X2 @ X1123)<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X58 @ X3)))))))&![X1124:$i]:(((![X2:$i]:(((in @ X2 @ X1124)<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X58 @ X3)))))))=>((X1123)=(X1124)))))))))), inference(apply_def,[status(thm)],[c_0_323, c_0_317])).
0.39/0.91	thf(c_0_363, plain, ((image1E)<=>![X4:$i, X60:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[Z0/* 17 */:$i]:(X60 @ Z0))))=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X60 @ X3))))))), inference(fof_simplification,[status(thm)],[image1E])).
0.39/0.91	thf(c_0_364, plain, ((injFuncSet)=(^[Z0/* 19 */:$i, Z1:$i]:(dsetconstr @ (funcSet @ Z0 @ Z1) @ (^[Z2/* 3 */:$i]:((injective @ Z0 @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[injFuncSet])).
0.39/0.91	thf(c_0_365, plain, ((image1I)<=>![X4:$i, X61:$i > $i, X2:$i]:((?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X61 @ X3))))=>(in @ X2 @ (image1 @ X4 @ (^[Z0/* 17 */:$i]:(X61 @ Z0))))))), inference(fof_simplification,[status(thm)],[image1I])).
0.39/0.91	thf(c_0_366, plain, ((image1Equiv)<=>![X4:$i, X59:$i > $i, X2:$i]:(((in @ X2 @ (image1 @ X4 @ (^[Z0/* 17 */:$i]:(X59 @ Z0))))<=>?[X3:$i]:(((in @ X3 @ X4)&((X2)=(X59 @ X3))))))), inference(fof_simplification,[status(thm)],[image1Equiv])).
0.39/0.91	thf(c_0_367, plain, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[Z0/* 19 */:$i, Z1:$i]:((X53 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln1])).
0.39/0.91	thf(c_0_368, plain, ((ifSingleton)<=>![X4:$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])).
0.39/0.91	thf(c_0_369, 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])).
0.39/0.91	thf(c_0_370, 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 */:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
0.39/0.91	thf(c_0_371, plain, ((apProp)<=>![X4:$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])).
0.39/0.91	thf(c_0_372, 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:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
0.39/0.91	thf(c_0_373, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
0.39/0.91	thf(c_0_374, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
0.39/0.91	thf(c_0_375, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
0.39/0.91	thf(c_0_376, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
0.39/0.91	thf(c_0_377, plain, ((ex1I2)<=>![X4:$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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
0.39/0.91	thf(c_0_378, plain, ((singletonprop)<=>![X4:$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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
0.39/0.91	thf(c_0_379, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.39/0.91	thf(c_0_380, plain, ((exuEu)=(![X1:$i > $o]:(((?[X1117:$i]:((((X1 @ X1117))&![X1118:$i]:((((X1 @ X1118))=>((X1117)=(X1118)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_324, c_0_317])).
0.39/0.91	thf(c_0_381, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X1113:$i]:((((X1 @ X1113))&![X1114:$i]:((((X1 @ X1114))=>((X1113)=(X1114)))))))<=>(?[X1115:$i]:((((X17 @ X1115))&![X1116:$i]:((((X17 @ X1116))=>((X1115)=(X1116)))))))))))), inference(apply_def,[status(thm)],[c_0_325, c_0_317])).
0.39/0.91	thf(c_0_382, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X1111:$i]:((((X1 @ X1111))&![X1112:$i]:((((X1 @ X1112))=>((X1111)=(X1112)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_326, c_0_317])).
0.39/0.91	thf(c_0_383, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X1109:$i]:((((X1 @ X1109))&![X1110:$i]:((((X1 @ X1110))=>((X1109)=(X1110))))))))))), inference(apply_def,[status(thm)],[c_0_327, c_0_317])).
0.39/0.91	thf(c_0_384, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X1107:$i]:((((X1 @ X1107))&![X1108:$i]:((((X1 @ X1108))=>((X1107)=(X1108)))))))))))), inference(apply_def,[status(thm)],[c_0_328, c_0_317])).
0.39/0.91	thf(c_0_385, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X1105:$i]:((((X1 @ X1105))&![X1106:$i]:((((X1 @ X1106))=>((X1105)=(X1106))))))))))), inference(apply_def,[status(thm)],[c_0_329, c_0_317])).
0.39/0.91	thf(c_0_386, plain, ((emptyE1)<=>![X4:$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])).
0.39/0.91	thf(c_0_387, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_318])).
0.39/0.91	thf(c_0_388, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.39/0.91	thf(c_0_389, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.39/0.91	thf(c_0_390, plain, ((descrp)=(![X1:$i > $o]:(((?[X1097:$i]:((((X1 @ X1097))&![X1098:$i]:((((X1 @ X1098))=>((X1097)=(X1098)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_330, c_0_317])).
0.39/0.91	thf(c_0_391, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X1095:$i]:((((X6 @ X2 @ X1095))&![X1096:$i]:((((X6 @ X2 @ X1096))=>((X1095)=(X1096)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_331, c_0_317])).
0.39/0.91	thf(c_0_392, plain, ((epred1_0)<=>![X1140:$i]:(?[X1141:$i]:((((![X1142:$i]:(((in @ X1142 @ X1141)=>![X1143:$i]:(((in @ X1143 @ X1142)=>(in @ X1143 @ X1140)))))&![X1144:$i, X1145:$i]:((((in @ X1144 @ X1140)&(in @ X1145 @ X1140))=>(![X1146:$i]:(((in @ X1146 @ X1141)=>((in @ X1144 @ X1146)<=>(in @ X1145 @ X1146))))=>((X1144)=(X1145))))))&![X1147:$i, X1148:$i]:((((in @ X1147 @ X1141)&(in @ X1148 @ X1141))=>(![X1149:$i]:(((in @ X1149 @ X1147)=>(in @ X1149 @ X1148)))|![X1150:$i]:(((in @ X1150 @ X1148)=>(in @ X1150 @ X1147)))))))&![X1151:$i]:(((![X1152:$i]:(((in @ X1152 @ X1151)=>(in @ X1152 @ X1140)))&?[X1153:$i]:((in @ X1153 @ X1151)))=>?[X1154:$i, X1155:$i]:(((((in @ X1154 @ X1141)&(in @ X1155 @ X1151))&~(?[X1156:$i]:(((in @ X1156 @ X1154)&(in @ X1156 @ X1151)))))&![X1157:$i]:(((in @ X1157 @ X1141)=>(![X1158:$i]:(((in @ X1158 @ X1157)=>(in @ X1158 @ X1154)))|(in @ X1155 @ X1157)))))))))))), introduced(definition)).
0.39/0.91	thf(c_0_393, negated_conjecture, ~((![X2186:$i, X2187:$i]:((![X2188:$i]:(((in @ X2188 @ X2186)<=>(in @ X2188 @ X2187)))=>((X2186)=(X2187))))=>(![X2185:$i]:(~(in @ X2185 @ emptyset))=>(![X1125:$i, X1126:$i, X1127:$i]:(((in @ X1127 @ (setadjoin @ X1125 @ X1126))<=>(((X1127)=(X1125))|(in @ X1127 @ X1126))))=>(![X1128:$i, X1129:$i]:(((in @ X1129 @ (powerset @ X1128))<=>![X1130:$i]:(((in @ X1130 @ X1129)=>(in @ X1130 @ X1128)))))=>(![X2182:$i, X2183:$i]:(((in @ X2183 @ (setunion @ X2182))<=>?[X2184:$i]:(((in @ X2183 @ X2184)&(in @ X2184 @ X2182)))))=>((in @ emptyset @ omega)=>(![X1131:$i]:(((in @ X1131 @ omega)=>(in @ (setadjoin @ X1131 @ X1131) @ omega)))=>(![X2179:$i]:((((in @ emptyset @ X2179)&![X2180:$i]:((((in @ X2180 @ omega)&(in @ X2180 @ X2179))=>(in @ (setadjoin @ X2180 @ X2180) @ X2179))))=>![X2181:$i]:(((in @ X2181 @ omega)=>(in @ X2181 @ X2179)))))=>(![X1132:$i > $i > $o, X1133:$i]:((![X1134:$i]:(((in @ X1134 @ X1133)=>?[X1135:$i]:(((X1132 @ X1134 @ X1135)&![X1136:$i]:(((X1132 @ X1134 @ X1136)=>((X1135)=(X1136))))))))=>?[X1137:$i]:(![X1138:$i]:(((in @ X1138 @ X1137)<=>?[X1139:$i]:(((in @ X1139 @ X1133)&(X1132 @ X1139 @ X1138))))))))=>(![X2175:$i]:((?[X2176:$i]:((in @ X2176 @ X2175))=>?[X2177:$i]:(((in @ X2177 @ X2175)&~(?[X2178:$i]:(((in @ X2178 @ X2177)&(in @ X2178 @ X2175))))))))=>((epred1_0)=>(![X1159:$i > $o]:((?[X1160:$i]:(((X1159 @ X1160)&![X1161:$i]:(((X1159 @ X1161)=>((X1160)=(X1161))))))=>(X1159 @ (descr @ (^[Z0/* 3 */:$i]:((X1159 @ Z0)))))))=>(![X1162:$i, X1163:$i > $o, X1164:$i]:(((in @ X1164 @ X1162)=>((X1163 @ X1164)=>(in @ X1164 @ (dsetconstr @ X1162 @ (^[Z0/* 3 */:$i]:((X1163 @ Z0))))))))=>(![X2172:$i, X2173:$i > $o, X2174:$i]:(((in @ X2174 @ (dsetconstr @ X2172 @ (^[Z0/* 3 */:$i]:((X2173 @ Z0)))))=>(in @ X2174 @ X2172)))=>(![X2169:$i, X2170:$i > $o, X2171:$i]:(((in @ X2171 @ (dsetconstr @ X2169 @ (^[Z0/* 3 */:$i]:((X2170 @ Z0)))))=>(X2170 @ X2171)))=>(![X2164:$i > $o]:((?[X2165:$i]:(((X2164 @ X2165)&![X2166:$i]:(((X2164 @ X2166)=>((X2165)=(X2166))))))=>?[X2167:$i]:(((X2164 @ X2167)&![X2168:$i]:(((X2164 @ X2168)=>((X2167)=(X2168))))))))=>(![X1165:$o, X1166:$i]:(((in @ X1166 @ (prop2set @ ((X1165))))=>(X1165)))=>(![X1167:$i]:(((in @ X1167 @ emptyset)=>![X1168:$o]:((X1168))))=>(![X1169:$i]:(~(in @ X1169 @ emptyset))=>(![X2163:$i]:(~(in @ X2163 @ emptyset))=>(![X2159:$i > $o]:((?[X2160:$i]:(((X2159 @ X2160)&![X2161:$i]:(((X2159 @ X2161)=>((X2160)=(X2161))))))=>?[X2162:$i]:((X2159 @ X2162))))=>(![X1170:$i, X1171:$i]:((![X1172:$i]:(((in @ X1172 @ X1170)=>(in @ X1172 @ X1171)))=>(![X1173:$i]:(((in @ X1173 @ X1171)=>(in @ X1173 @ X1170)))=>((X1170)=(X1171)))))=>(![X2157:$i]:((![X2158:$i]:(~(in @ X2158 @ X2157))=>((X2157)=(emptyset))))=>(![X1174:$i]:((![X1175:$i]:(~(in @ X1175 @ X1174))=>((X1174)=(emptyset))))=>(![X1176:$i, X1177:$i > $o, X1178:$i]:(((in @ X1178 @ X1176)=>((in @ X1178 @ (dsetconstr @ X1176 @ (^[Z0/* 3 */:$i]:((X1177 @ Z0)))))<=>(X1177 @ X1178))))=>(![X2155:$i]:((((X2155)!=(emptyset))=>?[X2156:$i]:((in @ X2156 @ X2155))))=>(![X2152:$i, X2153:$i > $o, X2154:$i]:(((in @ X2154 @ X2152)=>((X2153 @ X2154)=>((dsetconstr @ X2152 @ (^[Z0/* 3 */:$i]:((X2153 @ Z0))))!=(emptyset)))))=>(![X1179:$i]:((?[X1180:$i]:((in @ X1180 @ X1179))=>((X1179)!=(emptyset))))=>(![X1181:$i, X1182:$i]:((in @ X1181 @ (setadjoin @ X1181 @ X1182)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X2149:$i, X2150:$i, X2151:$i]:(((in @ X2151 @ X2150)=>(in @ X2151 @ (setadjoin @ X2149 @ X2150))))=>(![X1183:$i, X1184:$i, X1185:$i]:(((in @ X1185 @ (setadjoin @ X1183 @ X1184))=>![X1186:$o]:(((((X1185)=(X1183))=>(X1186))=>(((in @ X1185 @ X1184)=>(X1186))=>(X1186))))))=>(![X1187:$i, X1188:$i, X1189:$i]:(((in @ X1189 @ (setadjoin @ X1187 @ X1188))=>(((X1189)=(X1187))|(in @ X1189 @ X1188))))=>(![X2148:$i]:(((dsetconstr @ X2148 @ (^[Z0/* 3 */:$i]:(($true))))=(X2148)))=>(![X1190:$i, X1191:$i]:((![X1192:$i]:(((in @ X1192 @ X1191)=>(in @ X1192 @ X1190)))=>(in @ X1191 @ (powerset @ X1190))))=>(![X1193:$i]:((in @ emptyset @ (powerset @ X1193)))=>(![X2147:$i]:((in @ emptyset @ (powerset @ X2147)))=>(![X1194:$i, X1195:$i, X1196:$i]:(((in @ X1195 @ (powerset @ X1194))=>((in @ X1196 @ X1195)=>(in @ X1196 @ X1194))))=>(![X2144:$i, X2145:$i, X2146:$i]:(((in @ X2145 @ X2146)=>((in @ X2146 @ X2144)=>(in @ X2145 @ (setunion @ X2144)))))=>(![X2140:$i, X2141:$i]:(((in @ X2141 @ (setunion @ X2140))=>![X2142:$o]:((![X2143:$i]:(((in @ X2141 @ X2143)=>((in @ X2143 @ X2140)=>(X2142))))=>(X2142)))))=>(![X2138:$i, X2139:$i]:(((in @ X2139 @ X2138)=>(in @ X2139 @ (powerset @ (setunion @ X2138)))))=>(![X2133:$i > $o]:((?[X2134:$i]:(((X2133 @ X2134)&![X2135:$i]:(((X2133 @ X2135)=>((X2134)=(X2135))))))=>?[X2136:$i]:(![X2137:$i]:(((X2133 @ X2137)<=>((X2137)=(X2136)))))))=>(![X2131:$i]:((((X2131)!=(emptyset))=>?[X2132:$i]:((in @ X2132 @ X2131))))=>(![X1197:$i, X1198:$i]:(((in @ X1197 @ (setadjoin @ X1198 @ emptyset))=>((X1197)=(X1198))))=>(![X1199:$i, X1200:$i]:((((X1199)!=(X1200))=>~(in @ X1200 @ (setadjoin @ X1199 @ emptyset))))=>(![X2129:$i, X2130:$i]:((((X2129)=(X2130))=>(in @ X2129 @ (setadjoin @ X2130 @ emptyset))))=>(![X2127:$i, X2128:$i]:(((in @ X2127 @ (setadjoin @ X2128 @ emptyset))=>(in @ X2128 @ (setadjoin @ X2127 @ emptyset))))=>(![X2124:$i, X2125:$i, X2126:$i]:(((in @ X2126 @ (setadjoin @ X2124 @ (setadjoin @ X2125 @ emptyset)))=>(((X2126)=(X2124))|((X2126)=(X2125)))))=>(![X1201:$i, X1202:$i]:((in @ X1201 @ (setadjoin @ X1201 @ (setadjoin @ X1202 @ emptyset))))=>(![X1203:$i, X1204:$i]:((in @ X1204 @ (setadjoin @ X1203 @ (setadjoin @ X1204 @ emptyset))))=>(![X1205:$i, X1206:$i > $o]:((?[X1207:$i]:(((in @ X1207 @ X1205)&(X1206 @ X1207)))=>((dsetconstr @ X1205 @ (^[Z0/* 3 */:$i]:((X1206 @ Z0))))!=(emptyset))))=>(![X2122:$i > $o, X2123:$i]:(((in @ X2123 @ emptyset)=>(X2122 @ X2123)))=>(![X1208:$i, X1209:$i > $o]:((~(![X1210:$i]:(((in @ X1210 @ X1208)=>(X1209 @ X1210))))=>?[X1211:$i]:(((in @ X1211 @ X1208)&~(X1209 @ X1211)))))=>(![X1212:$i, X1213:$i > $o]:((![X1214:$i]:(((in @ X1214 @ X1212)=>~(X1213 @ X1214)))=>~(?[X1215:$i]:(((in @ X1215 @ X1212)&(X1213 @ X1215))))))=>(![X2118:$i, X2119:$i > $o]:((~(?[X2120:$i]:(((in @ X2120 @ X2118)&(X2119 @ X2120))))=>![X2121:$i]:(((in @ X2121 @ X2118)=>~(X2119 @ X2121)))))=>(![X1216:$i, X1217:$i > $o]:((?[X1218:$i]:(((in @ X1218 @ X1216)&~(X1217 @ X1218)))=>~(![X1219:$i]:(((in @ X1219 @ X1216)=>(X1217 @ X1219))))))=>(![X1220:$o]:(((X1220)=>(in @ emptyset @ (prop2set @ ((X1220))))))=>((prop2set2propI)=>(![X2114:$i, X2115:$i > $o]:((~(?[X2116:$i]:(((in @ X2116 @ X2114)&(X2115 @ X2116))))=>![X2117:$i]:(((in @ X2117 @ X2114)=>~(X2115 @ X2117)))))=>(![X1221:$i, X1222:$i > $o]:((~(![X1223:$i]:(((in @ X1223 @ X1221)=>(X1222 @ X1223))))=>?[X1224:$i]:(((in @ X1224 @ X1221)&~(X1222 @ X1224)))))=>(![X1225:$i > $o]:((?[X1226:$i]:(((X1225 @ X1226)&![X1227:$i]:(((X1225 @ X1227)=>((X1226)=(X1227))))))=>?[X1228:$i]:(((X1225 @ X1228)&![X1229:$i]:(((X1225 @ X1229)=>((X1228)=(X1229))))))))=>(![X1230:$i > $o]:((?[X1231:$i]:((X1230 @ X1231))=>(![X1232:$i, X1233:$i]:(((X1230 @ X1232)=>((X1230 @ X1233)=>((X1232)=(X1233)))))=>?[X1234:$i]:(((X1230 @ X1234)&![X1235:$i]:(((X1230 @ X1235)=>((X1234)=(X1235)))))))))=>(![X1236:$i > $o]:((?[X1237:$i]:(![X1238:$i]:(((X1236 @ X1238)<=>((X1238)=(X1237)))))=>?[X1239:$i]:(((X1236 @ X1239)&![X1240:$i]:(((X1236 @ X1240)=>((X1239)=(X1240))))))))=>(![X1241:$i, X1242:$i]:((((X1241)=(X1242))=>![X1243:$i, X1244:$i]:((((X1243)=(X1244))=>((in @ X1243 @ X1241)=>(in @ X1244 @ X1242))))))=>(![X1245:$i, X1246:$i]:((((X1245)=(X1246))=>![X1247:$i, X1248:$i]:((((X1247)=(X1248))=>((in @ X1247 @ X1245)<=>(in @ X1248 @ X1246))))))=>(![X1249:$i > $o]:((?[X1250:$i]:(((X1249 @ X1250)&![X1251:$i]:(((X1249 @ X1251)=>((X1250)=(X1251))))))=>![X1252:$i, X1253:$i]:(((X1249 @ X1252)=>((X1249 @ X1253)=>((X1252)=(X1253)))))))=>(![X1254:$i > $o, X1255:$i > $o]:((![X1256:$i, X1257:$i]:((((X1256)=(X1257))=>((X1254 @ X1256)<=>(X1255 @ X1257))))=>(?[X1258:$i]:(((X1254 @ X1258)&![X1259:$i]:(((X1254 @ X1259)=>((X1258)=(X1259))))))<=>?[X1260:$i]:(((X1255 @ X1260)&![X1261:$i]:(((X1255 @ X1261)=>((X1260)=(X1261)))))))))=>(((emptyset)=(emptyset))=>(![X2110:$i, X2111:$i]:((((X2110)=(X2111))=>![X2112:$i, X2113:$i]:((((X2112)=(X2113))=>((setadjoin @ X2110 @ X2112)=(setadjoin @ X2111 @ X2113))))))=>(![X1262:$i, X1263:$i]:((((X1262)=(X1263))=>((powerset @ X1262)=(powerset @ X1263))))=>(![X1264:$i, X1265:$i]:((((X1264)=(X1265))=>((setunion @ X1264)=(setunion @ X1265))))=>(((omega)=(omega))=>(![X1266:$i > $o]:((?[X1267:$i]:(((X1266 @ X1267)&![X1268:$i]:(((X1266 @ X1268)=>((X1267)=(X1268))))))=>![X1269:$i, X1270:$i]:(((X1266 @ X1269)=>((X1266 @ X1270)=>((X1269)=(X1270)))))))=>(![X2102:$i > $o, X2103:$i > $o]:((![X2104:$i, X2105:$i]:((((X2104)=(X2105))=>((X2102 @ X2104)<=>(X2103 @ X2105))))=>(?[X2106:$i]:(((X2102 @ X2106)&![X2107:$i]:(((X2102 @ X2107)=>((X2106)=(X2107))))))=>(?[X2108:$i]:(((X2103 @ X2108)&![X2109:$i]:(((X2103 @ X2109)=>((X2108)=(X2109))))))=>((descr @ (^[Z0/* 3 */:$i]:((X2102 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2103 @ Z0)))))))))=>(![X2096:$i, X2097:$i]:((((X2096)=(X2097))=>![X2098:$i > $o, X2099:$i > $o]:((![X2100:$i]:(((in @ X2100 @ X2096)=>![X2101:$i]:(((in @ X2101 @ X2097)=>(((X2100)=(X2101))=>((X2098 @ X2100)<=>(X2099 @ X2101)))))))=>((dsetconstr @ X2096 @ (^[Z0/* 3 */:$i]:((X2098 @ Z0))))=(dsetconstr @ X2097 @ (^[Z0/* 3 */:$i]:((X2099 @ Z0)))))))))=>(![X2093:$i, X2094:$i]:((![X2095:$i]:(((in @ X2095 @ X2093)=>(in @ X2095 @ X2094)))=>(subset @ X2093 @ X2094)))=>(![X2091:$i, X2092:$i]:((((X2091)=(X2092))=>(subset @ X2092 @ X2091)))=>(![X2089:$i, X2090:$i]:((((X2089)=(X2090))=>(subset @ X2089 @ X2090)))=>(![X2086:$i, X2087:$i]:((![X2088:$i]:(((in @ X2088 @ X2086)=>(in @ X2088 @ X2087)))=>(subset @ X2086 @ X2087)))=>(![X2085:$i]:((subset @ emptyset @ X2085))=>(![X2082:$i, X2083:$i, X2084:$i]:(((subset @ X2082 @ X2083)=>((in @ X2084 @ X2082)=>(in @ X2084 @ X2083))))=>(![X2079:$i, X2080:$i, X2081:$i]:(((subset @ X2079 @ X2080)=>(~(in @ X2081 @ X2080)=>~(in @ X2081 @ X2079))))=>(![X2076:$i, X2077:$i, X2078:$i]:(((in @ X2078 @ X2076)=>(~(in @ X2078 @ X2077)=>~(subset @ X2076 @ X2077))))=>(![X1271:$i, X1272:$i]:((~(subset @ X1271 @ X1272)=>((X1271)!=(X1272))))=>(![X1273:$i, X1274:$i, X1275:$i]:(((in @ X1275 @ X1273)=>(~(in @ X1275 @ X1274)=>((X1273)!=(X1274)))))=>(![X2075:$i]:((subset @ X2075 @ X2075))=>(![X2072:$i, X2073:$i, X2074:$i]:(((subset @ X2072 @ X2073)=>((subset @ X2073 @ X2074)=>(subset @ X2072 @ X2074))))=>(![X1276:$i, X1277:$i]:((subset @ X1277 @ (setadjoin @ X1276 @ X1277)))=>(![X1278:$i, X1279:$i, X1280:$i]:(((subset @ X1278 @ X1280)=>(subset @ X1278 @ (setadjoin @ X1279 @ X1280))))=>(![X2070:$i, X2071:$i]:(((subset @ X2070 @ X2071)=>(in @ X2070 @ (powerset @ X2071))))=>(![X1281:$i, X1282:$i]:(((subset @ X1281 @ X1282)=>((subset @ X1282 @ X1281)=>((X1281)=(X1282)))))=>(![X1283:$i]:(((subset @ X1283 @ emptyset)=>((X1283)=(emptyset))))=>(![X1284:$i, X1285:$i]:(((subset @ X1285 @ X1284)=>(in @ X1285 @ (powerset @ X1284))))=>(![X1286:$i, X1287:$i]:(((in @ X1287 @ (powerset @ X1286))=>(subset @ X1287 @ X1286)))=>(![X2069:$i]:((in @ X2069 @ (powerset @ X2069)))=>(![X1288:$i, X1289:$i]:(((subset @ X1288 @ X1289)=>(subset @ (powerset @ X1288) @ (powerset @ X1289))))=>(![X2067:$i, X2068:$i > $o]:((in @ (dsetconstr @ X2067 @ (^[Z0/* 3 */:$i]:((X2068 @ Z0)))) @ (powerset @ X2067)))=>(![X1290:$i, X1291:$i > $o]:((subset @ (dsetconstr @ X1290 @ (^[Z0/* 3 */:$i]:((X1291 @ Z0)))) @ X1290))=>(![X2064:$i, X2065:$i, X2066:$i]:(((in @ X2066 @ X2064)=>(in @ X2066 @ (binunion @ X2064 @ X2065))))=>(![X1292:$i, X1293:$i]:((in @ X1293 @ (setadjoin @ X1292 @ (setadjoin @ X1293 @ emptyset))))=>(![X1294:$i, X1295:$i, X1296:$i]:(((in @ X1296 @ X1295)=>(in @ X1296 @ (binunion @ X1294 @ X1295))))=>(![X2060:$i, X2061:$i, X2062:$i, X2063:$o]:(((in @ X2062 @ (binunion @ X2060 @ X2061))=>(((in @ X2062 @ X2060)=>(X2063))=>(((in @ X2062 @ X2061)=>(X2063))=>(X2063)))))=>(![X2057:$i, X2058:$i, X2059:$i]:(((in @ X2059 @ (binunion @ X2057 @ X2058))=>((in @ X2059 @ X2057)|(in @ X2059 @ X2058))))=>(![X2055:$i, X2056:$i]:((subset @ X2055 @ (binunion @ X2055 @ X2056)))=>(![X1297:$i, X1298:$i]:((subset @ X1298 @ (binunion @ X1297 @ X1298)))=>(![X1299:$i, X1300:$i, X1301:$i]:(((in @ X1301 @ X1299)=>((in @ X1301 @ X1300)=>(in @ X1301 @ (binintersect @ X1299 @ X1300)))))=>(![X1302:$i, X1303:$i, X1304:$i]:(((subset @ X1304 @ X1302)=>((subset @ X1304 @ X1303)=>(subset @ X1304 @ (binintersect @ X1302 @ X1303)))))=>(![X2052:$i, X2053:$i, X2054:$i]:(((in @ X2054 @ (binintersect @ X2052 @ X2053))=>(in @ X2054 @ X2052)))=>(![X2050:$i, X2051:$i]:((subset @ (binintersect @ X2050 @ X2051) @ X2050))=>(![X2048:$i, X2049:$i]:(((subset @ X2048 @ X2049)=>((binintersect @ X2048 @ X2049)=(X2048))))=>(![X1305:$i, X1306:$i]:((((binintersect @ X1305 @ X1306)=(X1306))=>(subset @ X1306 @ X1305)))=>(![X2045:$i, X2046:$i, X2047:$i]:(((in @ X2047 @ (binintersect @ X2045 @ X2046))=>(in @ X2047 @ X2046)))=>(![X2042:$i, X2043:$i]:((~(?[X2044:$i]:(((in @ X2044 @ X2042)&(in @ X2044 @ X2043))))=>((binintersect @ X2042 @ X2043)=(emptyset))))=>(![X1307:$i, X1308:$i]:((subset @ (binintersect @ X1307 @ X1308) @ X1308))=>(![X2040:$i, X2041:$i]:(((subset @ X2041 @ X2040)=>((binintersect @ X2040 @ X2041)=(X2041))))=>(![X2038:$i, X2039:$i]:((((binintersect @ X2038 @ X2039)=(X2038))=>(subset @ X2038 @ X2039)))=>(![X2035:$i, X2036:$i, X2037:$i]:(((binintersect @ X2035 @ (binunion @ X2036 @ X2037))=(binunion @ (binintersect @ X2035 @ X2036) @ (binintersect @ X2035 @ X2037))))=>(![X1309:$i, X1310:$i, X1311:$i]:(((in @ X1311 @ X1309)=>(~(in @ X1311 @ X1310)=>(in @ X1311 @ (setminus @ X1309 @ X1310)))))=>(![X1312:$i, X1313:$i, X1314:$i]:(((in @ X1314 @ (setminus @ X1312 @ X1313))=>(in @ X1314 @ X1312)))=>(![X2032:$i, X2033:$i, X2034:$i]:(((in @ X2034 @ (setminus @ X2032 @ X2033))=>~(in @ X2034 @ X2033)))=>(![X2030:$i, X2031:$i]:(((subset @ X2030 @ X2031)=>((setminus @ X2030 @ X2031)=(emptyset))))=>(![X1315:$i, X1316:$i, X1317:$i]:((~(in @ X1317 @ (setminus @ X1315 @ X1316))=>((in @ X1317 @ X1315)=>(in @ X1317 @ X1316))))=>(![X2027:$i, X2028:$i, X2029:$i]:((~(in @ X2029 @ (setminus @ X2027 @ X2028))=>(~(in @ X2029 @ X2028)=>~(in @ X2029 @ X2027))))=>(![X2024:$i, X2025:$i, X2026:$i]:((~(in @ X2026 @ X2024)=>~(in @ X2026 @ (setminus @ X2024 @ X2025))))=>(![X2021:$i, X2022:$i, X2023:$i]:(((in @ X2023 @ X2022)=>~(in @ X2023 @ (setminus @ X2021 @ X2022))))=>(![X2019:$i, X2020:$i]:((subset @ (setminus @ X2019 @ X2020) @ X2019))=>(![X2017:$i, X2018:$i]:((((setminus @ X2017 @ X2018)=(emptyset))=>(subset @ X2017 @ X2018)))=>(![X2013:$i, X2014:$i, X2015:$i]:(((in @ X2015 @ (symdiff @ X2013 @ X2014))=>![X2016:$o]:((((in @ X2015 @ X2013)=>(~(in @ X2015 @ X2014)=>(X2016)))=>((~(in @ X2015 @ X2013)=>((in @ X2015 @ X2014)=>(X2016)))=>(X2016))))))=>(![X1318:$i, X1319:$i, X1320:$i]:(((in @ X1320 @ X1318)=>(~(in @ X1320 @ X1319)=>(in @ X1320 @ (symdiff @ X1318 @ X1319)))))=>(![X1321:$i, X1322:$i, X1323:$i]:((~(in @ X1323 @ X1321)=>((in @ X1323 @ X1322)=>(in @ X1323 @ (symdiff @ X1321 @ X1322)))))=>(![X1324:$i, X1325:$i, X1326:$i]:(((in @ X1326 @ X1324)=>((in @ X1326 @ X1325)=>~(in @ X1326 @ (symdiff @ X1324 @ X1325)))))=>(![X2010:$i, X2011:$i, X2012:$i]:((~(in @ X2012 @ X2010)=>(~(in @ X2012 @ X2011)=>~(in @ X2012 @ (symdiff @ X2010 @ X2011)))))=>(![X1327:$i, X1328:$i]:((in @ X1328 @ (setadjoin @ X1327 @ (setadjoin @ X1328 @ emptyset))))=>(![X2008:$i, X2009:$i]:((in @ X2008 @ (setunion @ (setadjoin @ (setadjoin @ X2008 @ emptyset) @ (setadjoin @ (setadjoin @ X2008 @ (setadjoin @ X2009 @ emptyset)) @ emptyset)))))=>(![X1329:$i, X1330:$i]:((in @ X1330 @ (setunion @ (setadjoin @ (setadjoin @ X1329 @ emptyset) @ (setadjoin @ (setadjoin @ X1329 @ (setadjoin @ X1330 @ emptyset)) @ emptyset)))))=>(![X2006:$i, X2007:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2006 @ emptyset) @ (setadjoin @ (setadjoin @ X2006 @ (setadjoin @ X2007 @ emptyset)) @ emptyset))))=>(![X2004:$i, X2005:$i]:((iskpair @ (kpair @ X2004 @ X2005)))=>(![X2002:$i, X2003:$i]:(((in @ X2003 @ X2002)=>(subset @ (setadjoin @ X2003 @ emptyset) @ X2002)))=>(![X2000:$i, X2001:$i]:(((in @ X2001 @ X2000)=>(in @ (setadjoin @ X2001 @ emptyset) @ (powerset @ X2000))))=>(![X1331:$i, X1332:$i, X1333:$i]:(((in @ X1333 @ X1331)=>(in @ (setadjoin @ X1333 @ emptyset) @ (powerset @ (binunion @ X1331 @ X1332)))))=>(![X1334:$i, X1335:$i, X1336:$i]:(((in @ X1336 @ (setadjoin @ X1334 @ (setadjoin @ X1335 @ emptyset)))=>(((X1336)=(X1334))|((X1336)=(X1335)))))=>(![X1996:$i, X1997:$i, X1998:$i]:(((in @ X1998 @ X1996)=>![X1999:$i]:(((in @ X1999 @ X1997)=>(subset @ (setadjoin @ X1998 @ (setadjoin @ X1999 @ emptyset)) @ (binunion @ X1996 @ X1997))))))=>(![X1992:$i, X1993:$i, X1994:$i]:(((in @ X1994 @ X1992)=>![X1995:$i]:(((in @ X1995 @ X1993)=>(in @ (setadjoin @ X1994 @ (setadjoin @ X1995 @ emptyset)) @ (powerset @ (binunion @ X1992 @ X1993)))))))=>(![X1337:$i, X1338:$i, X1339:$i]:(((in @ X1339 @ X1337)=>![X1340:$i]:(((in @ X1340 @ X1338)=>(subset @ (setadjoin @ (setadjoin @ X1339 @ emptyset) @ (setadjoin @ (setadjoin @ X1339 @ (setadjoin @ X1340 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1337 @ X1338)))))))=>(![X1988:$i, X1989:$i, X1990:$i]:(((in @ X1990 @ X1988)=>![X1991:$i]:(((in @ X1991 @ X1989)=>(in @ (setadjoin @ (setadjoin @ X1990 @ emptyset) @ (setadjoin @ (setadjoin @ X1990 @ (setadjoin @ X1991 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1988 @ X1989))))))))=>(![X1984:$i, X1985:$i, X1986:$i]:(((in @ X1986 @ X1984)=>![X1987:$i]:(((in @ X1987 @ X1985)=>(in @ (kpair @ X1986 @ X1987) @ (powerset @ (powerset @ (binunion @ X1984 @ X1985))))))))=>(![X1980:$i, X1981:$i, X1982:$i]:(((in @ X1982 @ X1980)=>![X1983:$i]:(((in @ X1983 @ X1981)=>(in @ (kpair @ X1982 @ X1983) @ (cartprod @ X1980 @ X1981))))))=>(![X1975:$i, X1976:$i, X1977:$i]:(((in @ X1977 @ (cartprod @ X1975 @ X1976))=>?[X1978:$i]:(((in @ X1978 @ X1975)&?[X1979:$i]:(((in @ X1979 @ X1976)&((X1977)=(kpair @ X1978 @ X1979))))))))=>(![X1972:$i, X1973:$i, X1974:$i]:(((in @ X1974 @ (cartprod @ X1972 @ X1973))=>(iskpair @ X1974)))=>(![X1341:$i, X1342:$i]:(((in @ X1342 @ (setunion @ X1341))=>?[X1343:$i]:(((in @ X1343 @ X1341)&(in @ X1342 @ X1343)))))=>(![X1344:$i]:((subset @ (setunion @ (setadjoin @ X1344 @ emptyset)) @ X1344))=>(![X1971:$i]:((subset @ X1971 @ (setunion @ (setadjoin @ X1971 @ emptyset))))=>(![X1970:$i]:(((setunion @ (setadjoin @ X1970 @ emptyset))=(X1970)))=>(![X1965:$i, X1966:$i > $o]:((![X1967:$i]:(((in @ X1967 @ X1965)=>![X1968:$i]:(((in @ X1968 @ X1965)=>((X1966 @ X1967)=>((X1966 @ X1968)=>((X1967)=(X1968))))))))=>(?[X1969:$i]:(((in @ X1969 @ X1965)&(X1966 @ X1969)))=>(singleton @ (dsetconstr @ X1965 @ (^[Z0/* 3 */:$i]:((X1966 @ Z0))))))))=>(![X1345:$i, X1346:$i > $o]:(((ex1 @ X1345 @ (^[Z0/* 3 */:$i]:((X1346 @ Z0))))=>?[X1347:$i]:(((in @ X1347 @ X1345)&(X1346 @ X1347)))))=>(![X1348:$i, X1349:$i > $o, X1350:$i]:(((in @ X1350 @ X1348)=>((X1349 @ X1350)=>(![X1351:$i]:(((in @ X1351 @ X1348)=>((X1349 @ X1351)=>((X1351)=(X1350)))))=>(ex1 @ X1348 @ (^[Z0/* 3 */:$i]:((X1349 @ Z0))))))))=>(![X1960:$i, X1961:$i > $o]:((![X1962:$i]:(((in @ X1962 @ X1960)=>![X1963:$i]:(((in @ X1963 @ X1960)=>((X1961 @ X1962)=>((X1961 @ X1963)=>((X1962)=(X1963))))))))=>(?[X1964:$i]:(((in @ X1964 @ X1960)&(X1961 @ X1964)))=>(ex1 @ X1960 @ (^[Z0/* 3 */:$i]:((X1961 @ Z0)))))))=>(![X1958:$i, X1959:$i]:((((setadjoin @ X1958 @ emptyset)=(setadjoin @ X1959 @ emptyset))=>((X1958)=(X1959))))=>(![X1352:$i, X1353:$i, X1354:$i]:(((in @ (setadjoin @ X1354 @ emptyset) @ (setadjoin @ (setadjoin @ X1352 @ emptyset) @ (setadjoin @ (setadjoin @ X1352 @ (setadjoin @ X1353 @ emptyset)) @ emptyset)))=>((X1352)=(X1354))))=>(![X1957:$i]:(((iskpair @ X1957)=>(singleton @ (dsetconstr @ (setunion @ X1957) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1957)))))))=>(![X1956:$i]:(((singleton @ X1956)=>(in @ (setunion @ X1956) @ X1956)))=>(![X1954:$i, X1955:$i]:(((kfst @ (kpair @ X1954 @ X1955))=(X1954)))=>(![X1355:$i, X1356:$i, X1357:$i]:(((in @ X1357 @ (cartprod @ X1355 @ X1356))=>(in @ (kfst @ X1357) @ X1355)))=>(![X1950:$i, X1951:$i, X1952:$i, X1953:$i]:((((setadjoin @ (setadjoin @ X1950 @ emptyset) @ (setadjoin @ (setadjoin @ X1950 @ (setadjoin @ X1951 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1952 @ emptyset) @ (setadjoin @ (setadjoin @ X1952 @ (setadjoin @ X1953 @ emptyset)) @ emptyset)))=>((X1950)=(X1952))))=>(![X1358:$i, X1359:$i, X1360:$i, X1361:$i]:((((kpair @ X1358 @ X1359)=(kpair @ X1360 @ X1361))=>((X1358)=(X1360))))=>(![X1948:$i, X1949:$i]:((((X1948)=(X1949))=>((setadjoin @ X1948 @ (setadjoin @ X1949 @ emptyset))=(setadjoin @ X1948 @ emptyset))))=>(![X1946:$i, X1947:$i]:((((X1946)=(X1947))=>((setadjoin @ (setadjoin @ X1946 @ emptyset) @ (setadjoin @ (setadjoin @ X1946 @ (setadjoin @ X1947 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1946 @ emptyset) @ emptyset))))=>(![X1362:$i, X1363:$i, X1364:$i, X1365:$i]:((((setadjoin @ (setadjoin @ X1362 @ emptyset) @ (setadjoin @ (setadjoin @ X1362 @ (setadjoin @ X1363 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1364 @ emptyset) @ (setadjoin @ (setadjoin @ X1364 @ (setadjoin @ X1365 @ emptyset)) @ emptyset)))=>(((X1364)=(X1365))=>((X1363)=(X1365)))))=>(![X1943:$i, X1944:$i, X1945:$i]:((((setadjoin @ X1943 @ (setadjoin @ X1944 @ emptyset))=(setadjoin @ X1945 @ emptyset))=>((X1943)=(X1944))))=>(![X1366:$i, X1367:$i, X1368:$i, X1369:$i]:((((setadjoin @ (setadjoin @ X1366 @ emptyset) @ (setadjoin @ (setadjoin @ X1366 @ (setadjoin @ X1367 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1368 @ emptyset) @ (setadjoin @ (setadjoin @ X1368 @ (setadjoin @ X1369 @ emptyset)) @ emptyset)))=>((X1367)=(X1369))))=>(![X1939:$i, X1940:$i, X1941:$i, X1942:$i]:((((kpair @ X1939 @ X1940)=(kpair @ X1941 @ X1942))=>((X1940)=(X1942))))=>(![X1370:$i]:(((iskpair @ X1370)=>(singleton @ (dsetconstr @ (setunion @ X1370) @ (^[Z0/* 3 */:$i]:(((X1370)=(kpair @ (kfst @ X1370) @ Z0))))))))=>(![X1371:$i, X1372:$i]:(((ksnd @ (kpair @ X1371 @ X1372))=(X1372)))=>(![X1373:$i]:(((iskpair @ X1373)=>((kpair @ (kfst @ X1373) @ (ksnd @ X1373))=(X1373))))=>(![X1936:$i, X1937:$i, X1938:$i]:(((in @ X1938 @ (cartprod @ X1936 @ X1937))=>(in @ (ksnd @ X1938) @ X1937)))=>(![X1374:$i, X1375:$i, X1376:$i, X1377:$i]:(((in @ (kpair @ X1376 @ X1377) @ (cartprod @ X1374 @ X1375))=>(in @ X1376 @ X1374)))=>(![X1378:$i, X1379:$i, X1380:$i, X1381:$i]:(((in @ (kpair @ X1380 @ X1381) @ (cartprod @ X1378 @ X1379))=>(in @ X1381 @ X1379)))=>(![X1382:$i, X1383:$i, X1384:$i]:(((in @ X1384 @ X1382)=>![X1385:$i]:(((in @ X1385 @ X1383)=>((kpair @ X1384 @ X1385)=(kpair @ X1384 @ X1385))))))=>(![X1932:$i, X1933:$i, X1934:$i]:(((in @ X1934 @ X1932)=>![X1935:$i]:(((in @ X1935 @ X1933)=>((kfst @ (kpair @ X1934 @ X1935))=(X1934))))))=>(![X1928:$i, X1929:$i, X1930:$i]:(((in @ X1930 @ X1928)=>![X1931:$i]:(((in @ X1931 @ X1929)=>((ksnd @ (kpair @ X1930 @ X1931))=(X1931))))))=>(![X1925:$i, X1926:$i, X1927:$i]:(((in @ X1927 @ (cartprod @ X1925 @ X1926))=>((kpair @ (kfst @ X1927) @ (ksnd @ X1927))=(X1927))))=>(![X1920:$i, X1921:$i, X1922:$i > $i > $o, X1923:$i]:(((in @ X1923 @ X1920)=>![X1924:$i]:(((in @ X1924 @ X1921)=>((X1922 @ X1923 @ X1924)=>(in @ (kpair @ X1923 @ X1924) @ (dpsetconstr @ X1920 @ X1921 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1922 @ Z0 @ Z1))))))))))=>(![X1917:$i, X1918:$i, X1919:$i > $i > $o]:((subset @ (dpsetconstr @ X1917 @ X1918 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1919 @ Z0 @ Z1)))) @ (cartprod @ X1917 @ X1918)))=>(![X1914:$i, X1915:$i, X1916:$i > $i > $o]:((breln @ X1914 @ X1915 @ (dpsetconstr @ X1914 @ X1915 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1916 @ Z0 @ Z1))))))=>(![X1386:$i, X1387:$i, X1388:$i > $i > $o, X1389:$i]:(((in @ X1389 @ X1386)=>![X1390:$i]:(((in @ X1390 @ X1387)=>((in @ (kpair @ X1389 @ X1390) @ (dpsetconstr @ X1386 @ X1387 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1388 @ Z0 @ Z1)))))=>(X1388 @ X1389 @ X1390))))))=>(![X1391:$i, X1392:$i, X1393:$i > $i > $o, X1394:$i, X1395:$i]:(((in @ (kpair @ X1394 @ X1395) @ (dpsetconstr @ X1391 @ X1392 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1393 @ Z0 @ Z1)))))=>(in @ X1394 @ X1391)))=>(![X1909:$i, X1910:$i, X1911:$i > $i > $o, X1912:$i, X1913:$i]:(((in @ (kpair @ X1912 @ X1913) @ (dpsetconstr @ X1909 @ X1910 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1911 @ Z0 @ Z1)))))=>(in @ X1913 @ X1910)))=>(![X1396:$i, X1397:$i, X1398:$i > $i > $o, X1399:$i, X1400:$i]:(((in @ (kpair @ X1399 @ X1400) @ (dpsetconstr @ X1396 @ X1397 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1398 @ Z0 @ Z1)))))=>(X1398 @ X1399 @ X1400)))=>(![X1401:$i, X1402:$i, X1403:$i]:(((func @ X1401 @ X1402 @ X1403)=>![X1404:$i]:(((in @ X1404 @ X1401)=>(singleton @ (dsetconstr @ X1402 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1404 @ Z0) @ X1403)))))))))=>(![X1905:$i, X1906:$i, X1907:$i]:(((func @ X1905 @ X1906 @ X1907)=>![X1908:$i]:(((in @ X1908 @ X1905)=>(in @ (setunion @ (dsetconstr @ X1906 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1908 @ Z0) @ X1907))))) @ X1906)))))=>(![X1405:$i, X1406:$i, X1407:$i]:(((func @ X1405 @ X1406 @ X1407)=>![X1408:$i]:(((in @ X1408 @ X1405)=>(in @ (ap @ X1405 @ X1406 @ X1407 @ X1408) @ X1406)))))=>(![X1409:$i, X1410:$i, X1411:$i]:(((in @ X1411 @ (funcSet @ X1409 @ X1410))=>(func @ X1409 @ X1410 @ X1411)))=>(![X1901:$i, X1902:$i, X1903:$i]:(((in @ X1903 @ (funcSet @ X1901 @ X1902))=>![X1904:$i]:(((in @ X1904 @ X1901)=>(in @ (ap @ X1901 @ X1902 @ X1903 @ X1904) @ X1902)))))=>(![X1898:$i, X1899:$i, X1900:$i]:(((func @ X1898 @ X1899 @ X1900)=>(in @ X1900 @ (funcSet @ X1898 @ X1899))))=>(![X1412:$i, X1413:$i, X1414:$i > $i]:((![X1415:$i]:(((in @ X1415 @ X1412)=>(in @ (X1414 @ X1415) @ X1413)))=>(func @ X1412 @ X1413 @ (dpsetconstr @ X1412 @ X1413 @ (^[Z0/* 3 */:$i]:($eq @ (X1414 @ Z0)))))))=>(![X1894:$i, X1895:$i, X1896:$i > $i]:((![X1897:$i]:(((in @ X1897 @ X1894)=>(in @ (X1896 @ X1897) @ X1895)))=>(func @ X1894 @ X1895 @ (lam @ X1894 @ X1895 @ X1896))))=>(![X1416:$i, X1417:$i, X1418:$i > $i]:((![X1419:$i]:(((in @ X1419 @ X1416)=>(in @ (X1418 @ X1419) @ X1417)))=>(in @ (lam @ X1416 @ X1417 @ X1418) @ (funcSet @ X1416 @ X1417))))=>(![X1887:$i, X1888:$i, X1889:$i]:(((breln @ X1887 @ X1888 @ X1889)=>![X1890:$i > $o]:((![X1891:$i]:(((in @ X1891 @ X1887)=>![X1892:$i]:(((in @ X1892 @ X1888)=>((in @ (kpair @ X1891 @ X1892) @ X1889)=>(X1890 @ (kpair @ X1891 @ X1892)))))))=>![X1893:$i]:(((in @ X1893 @ X1889)=>(X1890 @ X1893)))))))=>(![X1880:$i, X1881:$i, X1882:$i]:(((breln @ X1880 @ X1881 @ X1882)=>![X1883:$i > $o]:((![X1884:$i]:(((in @ X1884 @ X1880)=>![X1885:$i]:(((in @ X1885 @ X1881)=>((in @ (kpair @ X1884 @ X1885) @ X1882)=>(X1883 @ (kpair @ X1884 @ X1885)))))))=>![X1886:$i]:(((in @ X1886 @ X1882)=>(X1883 @ X1886)))))))=>(![X1876:$i, X1877:$i > $o]:(((ex1 @ X1876 @ (^[Z0/* 3 */:$i]:((X1877 @ Z0))))=>![X1878:$i]:(((in @ X1878 @ X1876)=>![X1879:$i]:(((in @ X1879 @ X1876)=>((X1877 @ X1878)=>((X1877 @ X1879)=>((X1878)=(X1879))))))))))=>(![X1420:$i, X1421:$i, X1422:$i]:(((func @ X1420 @ X1421 @ X1422)=>![X1423:$i]:(((in @ X1423 @ X1420)=>(in @ (kpair @ X1423 @ (ap @ X1420 @ X1421 @ X1422 @ X1423)) @ X1422)))))=>(![X1872:$i, X1873:$i, X1874:$i]:(((in @ X1874 @ (funcSet @ X1872 @ X1873))=>![X1875:$i]:(((in @ X1875 @ X1872)=>(in @ (kpair @ X1875 @ (ap @ X1872 @ X1873 @ X1874 @ X1875)) @ X1874)))))=>(![X1867:$i, X1868:$i, X1869:$i]:(((func @ X1867 @ X1868 @ X1869)=>![X1870:$i]:(((in @ X1870 @ X1867)=>![X1871:$i]:(((in @ X1871 @ X1868)=>((in @ (kpair @ X1870 @ X1871) @ X1869)=>((ap @ X1867 @ X1868 @ X1869 @ X1870)=(X1871)))))))))=>(![X1424:$i, X1425:$i, X1426:$i]:(((func @ X1424 @ X1425 @ X1426)=>![X1427:$i]:(((func @ X1424 @ X1425 @ X1427)=>(![X1428:$i]:(((in @ X1428 @ X1424)=>((ap @ X1424 @ X1425 @ X1426 @ X1428)=(ap @ X1424 @ X1425 @ X1427 @ X1428))))=>![X1429:$i]:(((in @ X1429 @ X1424)=>![X1430:$i]:(((in @ X1430 @ X1425)=>((in @ (kpair @ X1429 @ X1430) @ X1427)=>(in @ (kpair @ X1429 @ X1430) @ X1426)))))))))))=>(![X1862:$i, X1863:$i, X1864:$i]:(((in @ X1864 @ (funcSet @ X1862 @ X1863))=>![X1865:$i]:(((in @ X1865 @ X1862)=>![X1866:$i]:(((in @ X1866 @ X1863)=>((in @ (kpair @ X1865 @ X1866) @ X1864)=>((ap @ X1862 @ X1863 @ X1864 @ X1865)=(X1866)))))))))=>(![X1431:$i, X1432:$i, X1433:$i]:(((breln @ X1431 @ X1432 @ X1433)=>![X1434:$i]:(((breln @ X1431 @ X1432 @ X1434)=>(![X1435:$i]:(((in @ X1435 @ X1431)=>![X1436:$i]:(((in @ X1436 @ X1432)=>((in @ (kpair @ X1435 @ X1436) @ X1433)=>(in @ (kpair @ X1435 @ X1436) @ X1434))))))=>(subset @ X1433 @ X1434))))))=>(![X1854:$i, X1855:$i, X1856:$i]:(((breln @ X1854 @ X1855 @ X1856)=>![X1857:$i]:(((breln @ X1854 @ X1855 @ X1857)=>(![X1858:$i]:(((in @ X1858 @ X1854)=>![X1859:$i]:(((in @ X1859 @ X1855)=>((in @ (kpair @ X1858 @ X1859) @ X1856)=>(in @ (kpair @ X1858 @ X1859) @ X1857))))))=>(![X1860:$i]:(((in @ X1860 @ X1854)=>![X1861:$i]:(((in @ X1861 @ X1855)=>((in @ (kpair @ X1860 @ X1861) @ X1857)=>(in @ (kpair @ X1860 @ X1861) @ X1856))))))=>((X1856)=(X1857))))))))=>(![X1849:$i, X1850:$i, X1851:$i]:(((func @ X1849 @ X1850 @ X1851)=>![X1852:$i]:(((func @ X1849 @ X1850 @ X1852)=>(![X1853:$i]:(((in @ X1853 @ X1849)=>((ap @ X1849 @ X1850 @ X1851 @ X1853)=(ap @ X1849 @ X1850 @ X1852 @ X1853))))=>((X1851)=(X1852)))))))=>(![X1844:$i, X1845:$i, X1846:$i]:(((in @ X1846 @ (funcSet @ X1844 @ X1845))=>![X1847:$i]:(((in @ X1847 @ (funcSet @ X1844 @ X1845))=>(![X1848:$i]:(((in @ X1848 @ X1844)=>((ap @ X1844 @ X1845 @ X1846 @ X1848)=(ap @ X1844 @ X1845 @ X1847 @ X1848))))=>((X1846)=(X1847)))))))=>(![X1437:$i, X1438:$i, X1439:$i]:(((in @ X1439 @ (funcSet @ X1437 @ X1438))=>![X1440:$i]:(((in @ X1440 @ X1437)=>((ap @ X1437 @ X1438 @ X1439 @ X1440)=(ap @ X1437 @ X1438 @ X1439 @ X1440))))))=>(![X1441:$i, X1442:$i, X1443:$i]:(((func @ X1441 @ X1442 @ X1443)=>![X1444:$i]:(((in @ X1444 @ X1441)=>((ap @ X1441 @ X1442 @ X1443 @ X1444)=(ap @ X1441 @ X1442 @ X1443 @ X1444))))))=>(![X1445:$i, X1446:$i, X1447:$i > $i]:((![X1448:$i]:(((in @ X1448 @ X1445)=>(in @ (X1447 @ X1448) @ X1446)))=>![X1449:$i]:(((in @ X1449 @ X1445)=>((ap @ X1445 @ X1446 @ (lam @ X1445 @ X1446 @ X1447) @ X1449)=(X1447 @ X1449))))))=>(![X1841:$i, X1842:$i, X1843:$i]:(((func @ X1841 @ X1842 @ X1843)=>((lam @ X1841 @ X1842 @ (ap @ X1841 @ X1842 @ X1843))=(X1843))))=>(![X1837:$i, X1838:$i, X1839:$i > $i]:((![X1840:$i]:(((in @ X1840 @ X1837)=>(in @ (X1839 @ X1840) @ X1838)))=>((lam @ X1837 @ X1838 @ X1839)=(lam @ X1837 @ X1838 @ X1839))))=>(![X1832:$i, X1833:$i, X1834:$i > $i]:((![X1835:$i]:(((in @ X1835 @ X1832)=>(in @ (X1834 @ X1835) @ X1833)))=>![X1836:$i]:(((in @ X1836 @ X1832)=>((ap @ X1832 @ X1833 @ (lam @ X1832 @ X1833 @ X1834) @ X1836)=(X1834 @ X1836))))))=>(![X1829:$i, X1830:$i, X1831:$i]:(((in @ X1831 @ (funcSet @ X1829 @ X1830))=>((lam @ X1829 @ X1830 @ (ap @ X1829 @ X1830 @ X1831))=(X1831))))=>(![X1450:$i, X1451:$o, X1452:$i]:(((in @ X1452 @ X1450)=>![X1453:$i]:(((in @ X1453 @ X1450)=>(~(X1451)=>(in @ X1453 @ (dsetconstr @ X1450 @ (^[Z0/* 9 */:$i]:((((X1451)&((Z0)=(X1452)))|(~((X1451))&((Z0)=(X1453)))))))))))))=>(![X1454:$i, X1455:$o, X1456:$i]:(((in @ X1456 @ X1454)=>![X1457:$i]:(((in @ X1457 @ X1454)=>(~(X1455)=>((dsetconstr @ X1454 @ (^[Z0/* 9 */:$i]:((((X1455)&((Z0)=(X1456)))|(~((X1455))&((Z0)=(X1457)))))))=(setadjoin @ X1457 @ emptyset)))))))=>(![X1458:$i, X1459:$o, X1460:$i]:(((in @ X1460 @ X1458)=>![X1461:$i]:(((in @ X1461 @ X1458)=>((X1459)=>(in @ X1460 @ (dsetconstr @ X1458 @ (^[Z0/* 9 */:$i]:((((X1459)&((Z0)=(X1460)))|(~((X1459))&((Z0)=(X1461)))))))))))))=>(![X1462:$i, X1463:$o, X1464:$i]:(((in @ X1464 @ X1462)=>![X1465:$i]:(((in @ X1465 @ X1462)=>((X1463)=>((dsetconstr @ X1462 @ (^[Z0/* 9 */:$i]:((((X1463)&((Z0)=(X1464)))|(~((X1463))&((Z0)=(X1465)))))))=(setadjoin @ X1464 @ emptyset)))))))=>(![X1825:$i, X1826:$o, X1827:$i]:(((in @ X1827 @ X1825)=>![X1828:$i]:(((in @ X1828 @ X1825)=>(singleton @ (dsetconstr @ X1825 @ (^[Z0/* 9 */:$i]:((((X1826)&((Z0)=(X1827)))|(~((X1826))&((Z0)=(X1828))))))))))))=>(![X1821:$i, X1822:$o, X1823:$i]:(((in @ X1823 @ X1821)=>![X1824:$i]:(((in @ X1824 @ X1821)=>(in @ (if @ X1821 @ ((X1822)) @ X1823 @ X1824) @ X1821)))))=>(![X1466:$i]:(((singleton @ X1466)=>![X1467:$i]:(((in @ X1467 @ X1466)=>((setunion @ X1466)=(X1467))))))=>(![X1468:$i, X1469:$o, X1470:$i]:(((in @ X1470 @ X1468)=>![X1471:$i]:(((in @ X1471 @ X1468)=>((X1469)=>((if @ X1468 @ ((X1469)) @ X1470 @ X1471)=(X1470)))))))=>(![X1472:$i, X1473:$o, X1474:$i]:(((in @ X1474 @ X1472)=>![X1475:$i]:(((in @ X1475 @ X1472)=>(~(X1473)=>((if @ X1472 @ ((X1473)) @ X1474 @ X1475)=(X1475)))))))=>(![X1476:$i, X1477:$o, X1478:$i]:(((in @ X1478 @ X1476)=>![X1479:$i]:(((in @ X1479 @ X1476)=>(in @ (if @ X1476 @ ((X1477)) @ X1478 @ X1479) @ (setadjoin @ X1478 @ (setadjoin @ X1479 @ emptyset)))))))=>(![X1480:$i, X1481:$i]:(((in @ X1481 @ (powerset @ X1480))=>![X1482:$i]:(((in @ X1482 @ (powerset @ X1480))=>(in @ (binintersect @ X1481 @ X1482) @ (powerset @ X1480))))))=>(![X1818:$i, X1819:$i]:(((in @ X1819 @ (powerset @ X1818))=>![X1820:$i]:(((in @ X1820 @ (powerset @ X1818))=>(in @ (binunion @ X1819 @ X1820) @ (powerset @ X1818))))))=>(![X1816:$i, X1817:$i]:(((in @ X1817 @ (powerset @ X1816))=>(in @ (powerset @ X1817) @ (powerset @ (powerset @ X1816)))))=>(![X1483:$i, X1484:$i]:(((in @ X1484 @ (powerset @ X1483))=>![X1485:$i]:(((in @ X1485 @ (powerset @ X1483))=>(in @ (setminus @ X1484 @ X1485) @ (powerset @ X1483))))))=>(![X1486:$i, X1487:$i]:(((in @ X1487 @ (powerset @ X1486))=>(in @ (setminus @ X1486 @ X1487) @ (powerset @ X1486))))=>(![X1488:$i, X1489:$i]:(((in @ X1489 @ (powerset @ X1488))=>![X1490:$i]:(((in @ X1490 @ (powerset @ X1488))=>(![X1491:$i]:(((in @ X1491 @ X1488)=>((in @ X1491 @ X1489)=>(in @ X1491 @ X1490))))=>(![X1492:$i]:(((in @ X1492 @ X1488)=>((in @ X1492 @ X1490)=>(in @ X1492 @ X1489))))=>((X1489)=(X1490))))))))=>(![X1812:$i, X1813:$i]:(((in @ X1813 @ (powerset @ X1812))=>![X1814:$i]:(((in @ X1814 @ (powerset @ X1812))=>(![X1815:$i]:(((in @ X1815 @ X1812)=>((in @ X1815 @ X1813)=>(in @ X1815 @ X1814))))=>(subset @ X1813 @ X1814))))))=>(![X1493:$i, X1494:$i]:(((in @ X1494 @ (powerset @ X1493))=>![X1495:$i]:(((in @ X1495 @ (powerset @ X1493))=>(![X1496:$i]:(((in @ X1496 @ X1493)=>((in @ X1496 @ X1494)=>(in @ X1496 @ X1495))))=>(in @ X1494 @ (powerset @ X1495)))))))=>(![X1808:$i, X1809:$i]:(((in @ X1809 @ (powerset @ X1808))=>![X1810:$i]:(((in @ X1810 @ (powerset @ X1808))=>![X1811:$i]:(((in @ X1811 @ X1808)=>((in @ X1809 @ (powerset @ X1810))=>((in @ X1811 @ X1809)=>(in @ X1811 @ X1810)))))))))=>(![X1497:$i, X1498:$i]:(((in @ X1498 @ (powerset @ X1497))=>![X1499:$i]:(((in @ X1499 @ X1497)=>((in @ X1499 @ X1498)=>~(in @ X1499 @ (setminus @ X1497 @ X1498)))))))=>(![X1805:$i, X1806:$i]:(((in @ X1806 @ (powerset @ X1805))=>![X1807:$i]:(((in @ X1807 @ X1805)=>(~(in @ X1807 @ (setminus @ X1805 @ X1806))=>(in @ X1807 @ X1806))))))=>(![X1801:$i, X1802:$i]:(((in @ X1802 @ (powerset @ X1801))=>![X1803:$i]:(((in @ X1803 @ (powerset @ X1801))=>![X1804:$i]:(((in @ X1804 @ X1801)=>(~(in @ X1804 @ X1802)=>~(in @ X1804 @ (binintersect @ X1802 @ X1803)))))))))=>(![X1797:$i, X1798:$i]:(((in @ X1798 @ (powerset @ X1797))=>![X1799:$i]:(((in @ X1799 @ (powerset @ X1797))=>![X1800:$i]:(((in @ X1800 @ X1797)=>(~(in @ X1800 @ X1799)=>~(in @ X1800 @ (binintersect @ X1798 @ X1799)))))))))=>(![X1500:$i, X1501:$i]:(((in @ X1501 @ (powerset @ X1500))=>![X1502:$i]:(((in @ X1502 @ (powerset @ X1500))=>![X1503:$i]:(((in @ X1503 @ X1500)=>((subset @ X1501 @ (setminus @ X1500 @ X1502))=>((in @ X1503 @ X1502)=>~(in @ X1503 @ X1501)))))))))=>(![X1793:$i, X1794:$i]:(((in @ X1794 @ (powerset @ X1793))=>![X1795:$i]:(((in @ X1795 @ (powerset @ X1793))=>![X1796:$i]:(((in @ X1796 @ X1793)=>((subset @ X1794 @ X1795)=>(~(in @ X1796 @ X1795)=>~(in @ X1796 @ X1794)))))))))=>(![X1790:$i, X1791:$i]:(((in @ X1791 @ (powerset @ X1790))=>![X1792:$i]:(((in @ X1792 @ (powerset @ X1790))=>((subset @ X1791 @ X1792)=>(subset @ (setminus @ X1790 @ X1792) @ (setminus @ X1790 @ X1791)))))))=>(![X1787:$i, X1788:$i]:(((in @ X1788 @ (powerset @ X1787))=>![X1789:$i]:(((in @ X1789 @ (powerset @ X1787))=>((subset @ (setminus @ X1787 @ X1789) @ (setminus @ X1787 @ X1788))=>(subset @ X1788 @ X1789))))))=>(![X1784:$i, X1785:$i]:(((in @ X1785 @ (powerset @ X1784))=>![X1786:$i]:(((in @ X1786 @ X1784)=>((in @ X1786 @ X1785)=>(in @ X1786 @ (setminus @ X1784 @ (setminus @ X1784 @ X1785))))))))=>(![X1504:$i, X1505:$i]:(((in @ X1505 @ (powerset @ X1504))=>![X1506:$i]:(((in @ X1506 @ X1504)=>((in @ X1506 @ (setminus @ X1504 @ (setminus @ X1504 @ X1505)))=>(in @ X1506 @ X1505))))))=>(![X1782:$i, X1783:$i]:(((in @ X1783 @ (powerset @ X1782))=>(subset @ X1783 @ (setminus @ X1782 @ (setminus @ X1782 @ X1783)))))=>(![X1780:$i, X1781:$i]:(((in @ X1781 @ (powerset @ X1780))=>(subset @ (setminus @ X1780 @ (setminus @ X1780 @ X1781)) @ X1781)))=>(![X1507:$i, X1508:$i]:(((in @ X1508 @ (powerset @ X1507))=>((X1508)=(setminus @ X1507 @ (setminus @ X1507 @ X1508)))))=>(![X1776:$i, X1777:$i]:(((in @ X1777 @ (powerset @ X1776))=>![X1778:$i]:(((in @ X1778 @ (powerset @ X1776))=>![X1779:$i]:(((in @ X1779 @ X1776)=>((in @ X1779 @ (setminus @ X1776 @ X1777))=>~(in @ X1779 @ (binintersect @ X1777 @ X1778)))))))))=>(![X1509:$i, X1510:$i]:(((in @ X1510 @ (powerset @ X1509))=>![X1511:$i]:(((in @ X1511 @ (powerset @ X1509))=>![X1512:$i]:(((in @ X1512 @ X1509)=>((in @ X1512 @ (setminus @ X1509 @ X1510))=>(in @ X1512 @ (setminus @ X1509 @ (binintersect @ X1510 @ X1511))))))))))=>(![X1513:$i, X1514:$i]:(((in @ X1514 @ (powerset @ X1513))=>![X1515:$i]:(((in @ X1515 @ (powerset @ X1513))=>(subset @ (setminus @ X1513 @ X1514) @ (setminus @ X1513 @ (binintersect @ X1514 @ X1515)))))))=>(![X1773:$i, X1774:$i]:(((in @ X1774 @ (powerset @ X1773))=>![X1775:$i]:(((in @ X1775 @ (powerset @ X1773))=>(in @ (setminus @ X1773 @ X1774) @ (powerset @ (setminus @ X1773 @ (binintersect @ X1774 @ X1775))))))))=>(![X1769:$i, X1770:$i]:(((in @ X1770 @ (powerset @ X1769))=>![X1771:$i]:(((in @ X1771 @ (powerset @ X1769))=>((subset @ X1770 @ (setminus @ X1769 @ X1771))=>![X1772:$i]:(((in @ X1772 @ X1769)=>((in @ X1772 @ X1771)=>(in @ X1772 @ (setminus @ X1769 @ X1770))))))))))=>(![X1766:$i, X1767:$i]:(((in @ X1767 @ (powerset @ X1766))=>![X1768:$i]:(((in @ X1768 @ (powerset @ X1766))=>((subset @ X1767 @ (setminus @ X1766 @ X1768))=>(subset @ X1768 @ (setminus @ X1766 @ X1767)))))))=>(![X1516:$i, X1517:$i]:(((in @ X1517 @ (powerset @ X1516))=>![X1518:$i]:(((in @ X1518 @ (powerset @ X1516))=>![X1519:$i]:(((in @ X1519 @ X1516)=>(~(in @ X1519 @ (binunion @ X1517 @ X1518))=>~(in @ X1519 @ X1517))))))))=>(![X1762:$i, X1763:$i]:(((in @ X1763 @ (powerset @ X1762))=>![X1764:$i]:(((in @ X1764 @ (powerset @ X1762))=>![X1765:$i]:(((in @ X1765 @ X1762)=>(~(in @ X1765 @ (binunion @ X1763 @ X1764))=>~(in @ X1765 @ X1764))))))))=>(![X1757:$i, X1758:$i]:(((in @ X1758 @ (powerset @ X1757))=>![X1759:$i]:(((in @ X1759 @ (powerset @ X1757))=>![X1760:$i]:(((in @ X1760 @ (powerset @ X1757))=>![X1761:$i]:(((in @ X1761 @ X1757)=>((in @ X1761 @ (binintersect @ X1758 @ X1759))=>(in @ X1761 @ (binunion @ X1758 @ X1760)))))))))))=>(![X1752:$i, X1753:$i]:(((in @ X1753 @ (powerset @ X1752))=>![X1754:$i]:(((in @ X1754 @ (powerset @ X1752))=>![X1755:$i]:(((in @ X1755 @ (powerset @ X1752))=>![X1756:$i]:(((in @ X1756 @ X1752)=>((in @ X1756 @ (binintersect @ X1753 @ X1754))=>(in @ X1756 @ (binunion @ X1754 @ X1755)))))))))))=>(![X1747:$i, X1748:$i]:(((in @ X1748 @ (powerset @ X1747))=>![X1749:$i]:(((in @ X1749 @ (powerset @ X1747))=>![X1750:$i]:(((in @ X1750 @ (powerset @ X1747))=>![X1751:$i]:(((in @ X1751 @ X1747)=>((in @ X1751 @ (binintersect @ X1748 @ X1749))=>(in @ X1751 @ (binintersect @ (binunion @ X1748 @ X1750) @ (binunion @ X1749 @ X1750))))))))))))=>(![X1743:$i, X1744:$i]:(((in @ X1744 @ (powerset @ X1743))=>![X1745:$i]:(((in @ X1745 @ (powerset @ X1743))=>![X1746:$i]:(((in @ X1746 @ (powerset @ X1743))=>(in @ (binintersect @ X1744 @ X1745) @ (powerset @ (binintersect @ (binunion @ X1744 @ X1746) @ (binunion @ X1745 @ X1746))))))))))=>(![X1739:$i, X1740:$i]:(((in @ X1740 @ (powerset @ X1739))=>![X1741:$i]:(((in @ X1741 @ (powerset @ X1739))=>![X1742:$i]:(((in @ X1742 @ X1739)=>((in @ X1742 @ (setminus @ X1739 @ (binunion @ X1740 @ X1741)))=>~(in @ X1742 @ X1740))))))))=>(![X1735:$i, X1736:$i]:(((in @ X1736 @ (powerset @ X1735))=>![X1737:$i]:(((in @ X1737 @ (powerset @ X1735))=>![X1738:$i]:(((in @ X1738 @ X1735)=>((in @ X1738 @ (setminus @ X1735 @ (binunion @ X1736 @ X1737)))=>(in @ X1738 @ (setminus @ X1735 @ X1736)))))))))=>(![X1730:$i, X1731:$i]:(((in @ X1731 @ (powerset @ X1730))=>![X1732:$i]:(((in @ X1732 @ (powerset @ X1730))=>![X1733:$o, X1734:$i]:(((in @ X1734 @ X1730)=>((in @ X1734 @ (binunion @ X1731 @ X1732))=>(((in @ X1734 @ X1731)=>(X1733))=>(((in @ X1734 @ X1732)=>(X1733))=>(X1733))))))))))=>(![X1726:$i, X1727:$i]:(((in @ X1727 @ (powerset @ X1726))=>![X1728:$i]:(((in @ X1728 @ (powerset @ X1726))=>![X1729:$i]:(((in @ X1729 @ X1726)=>(~(in @ X1729 @ X1727)=>(~(in @ X1729 @ X1728)=>~(in @ X1729 @ (binunion @ X1727 @ X1728))))))))))=>(![X1722:$i, X1723:$i]:(((in @ X1723 @ (powerset @ X1722))=>![X1724:$i]:(((in @ X1724 @ (powerset @ X1722))=>![X1725:$i]:(((in @ X1725 @ X1722)=>((in @ X1725 @ (setminus @ X1722 @ (binunion @ X1723 @ X1724)))=>(in @ X1725 @ (setminus @ X1722 @ X1723)))))))))=>(![X1520:$i, X1521:$i]:(((in @ X1521 @ (powerset @ X1520))=>![X1522:$i]:(((in @ X1522 @ (powerset @ X1520))=>(in @ (setminus @ X1520 @ (binunion @ X1521 @ X1522)) @ (powerset @ (setminus @ X1520 @ X1521)))))))=>(![X1718:$i, X1719:$i]:(((in @ X1719 @ (powerset @ X1718))=>![X1720:$i]:(((in @ X1720 @ (powerset @ X1718))=>![X1721:$i]:(((in @ X1721 @ X1718)=>((in @ X1721 @ (setminus @ X1718 @ (binunion @ X1719 @ X1720)))=>(in @ X1721 @ (setminus @ X1718 @ X1720)))))))))=>(![X1714:$i, X1715:$i]:(((in @ X1715 @ (powerset @ X1714))=>![X1716:$i]:(((in @ X1716 @ (powerset @ X1714))=>![X1717:$i]:(((in @ X1717 @ X1714)=>((in @ X1717 @ (setminus @ X1714 @ (binintersect @ X1715 @ X1716)))=>(in @ X1717 @ (binunion @ (setminus @ X1714 @ X1715) @ (setminus @ X1714 @ X1716))))))))))=>(![X1523:$i, X1524:$i]:(((in @ X1524 @ (powerset @ X1523))=>![X1525:$i]:(((in @ X1525 @ (powerset @ X1523))=>![X1526:$i]:(((in @ X1526 @ X1523)=>((in @ X1526 @ (binunion @ (setminus @ X1523 @ X1524) @ (setminus @ X1523 @ X1525)))=>(in @ X1526 @ (setminus @ X1523 @ (binintersect @ X1524 @ X1525))))))))))=>(![X1527:$i, X1528:$i]:(((in @ X1528 @ (powerset @ X1527))=>![X1529:$i]:(((in @ X1529 @ (powerset @ X1527))=>((setminus @ X1527 @ (binintersect @ X1528 @ X1529))=(binunion @ (setminus @ X1527 @ X1528) @ (setminus @ X1527 @ X1529)))))))=>(![X1710:$i, X1711:$i]:(((in @ X1711 @ (powerset @ X1710))=>![X1712:$i]:(((in @ X1712 @ (powerset @ X1710))=>![X1713:$i]:(((in @ X1713 @ X1710)=>((in @ X1713 @ (setminus @ X1710 @ (binunion @ X1711 @ X1712)))=>(in @ X1713 @ (binintersect @ (setminus @ X1710 @ X1711) @ (setminus @ X1710 @ X1712))))))))))=>(![X1706:$i, X1707:$i]:(((in @ X1707 @ (powerset @ X1706))=>![X1708:$i]:(((in @ X1708 @ (powerset @ X1706))=>![X1709:$i]:(((in @ X1709 @ X1706)=>((in @ X1709 @ (setminus @ X1706 @ X1707))=>((in @ X1709 @ (setminus @ X1706 @ X1708))=>(in @ X1709 @ (setminus @ X1706 @ (binunion @ X1707 @ X1708)))))))))))=>(![X1530:$i, X1531:$i]:(((in @ X1531 @ (powerset @ X1530))=>![X1532:$i]:(((in @ X1532 @ (powerset @ X1530))=>![X1533:$i]:(((in @ X1533 @ X1530)=>((in @ X1533 @ (binintersect @ (setminus @ X1530 @ X1531) @ (setminus @ X1530 @ X1532)))=>(in @ X1533 @ (setminus @ X1530 @ (binunion @ X1531 @ X1532))))))))))=>(![X1534:$i, X1535:$i]:(((in @ X1535 @ (powerset @ X1534))=>![X1536:$i]:(((in @ X1536 @ (powerset @ X1534))=>((setminus @ X1534 @ (binunion @ X1535 @ X1536))=(binintersect @ (setminus @ X1534 @ X1535) @ (setminus @ X1534 @ X1536)))))))=>(![X1537:$i, X1538:$i]:(((in @ X1538 @ (powerset @ X1537))=>![X1539:$i]:(((in @ X1539 @ (powerset @ X1537))=>![X1540:$i]:(((in @ X1540 @ (binintersect @ X1538 @ X1539))=>(in @ X1540 @ X1537)))))))=>(![X1541:$i, X1542:$i]:(((in @ X1542 @ (powerset @ X1541))=>![X1543:$i]:(((in @ X1543 @ (powerset @ X1541))=>![X1544:$i]:(((in @ X1544 @ (powerset @ X1541))=>((subset @ X1542 @ X1544)=>(subset @ (binintersect @ X1542 @ X1543) @ X1544))))))))=>(![X1545:$i, X1546:$i]:(((in @ X1546 @ (powerset @ X1545))=>![X1547:$i]:(((in @ X1547 @ (powerset @ X1545))=>![X1548:$i]:(((in @ X1548 @ (powerset @ X1545))=>((subset @ X1547 @ X1548)=>(subset @ (binintersect @ X1546 @ X1547) @ X1548))))))))=>(![X1702:$i, X1703:$i]:(((in @ X1703 @ (powerset @ X1702))=>![X1704:$i]:(((in @ X1704 @ (powerset @ X1702))=>![X1705:$i]:(((in @ X1705 @ (powerset @ X1702))=>((subset @ X1703 @ X1704)=>((subset @ X1703 @ X1705)=>(subset @ X1703 @ (binintersect @ X1704 @ X1705))))))))))=>(![X1549:$i, X1550:$i]:(((in @ X1550 @ (powerset @ X1549))=>![X1551:$i]:(((in @ X1551 @ (powerset @ X1549))=>![X1552:$i]:(((in @ X1552 @ (powerset @ X1549))=>![X1553:$i]:(((in @ X1553 @ (powerset @ X1549))=>((subset @ X1550 @ X1552)=>((subset @ X1551 @ X1553)=>(subset @ (binintersect @ X1550 @ X1551) @ (binintersect @ X1552 @ X1553))))))))))))=>(![X1699:$i, X1700:$i]:(((in @ X1700 @ (powerset @ X1699))=>![X1701:$i]:(((in @ X1701 @ (powerset @ X1699))=>(in @ (setminus @ X1699 @ X1700) @ (powerset @ (setminus @ X1699 @ (binintersect @ X1700 @ X1701))))))))=>(![X1694:$i, X1695:$i]:(((in @ X1695 @ (powerset @ X1694))=>![X1696:$i]:(((in @ X1696 @ (powerset @ X1694))=>![X1697:$i]:(((in @ X1697 @ (powerset @ X1694))=>![X1698:$i]:(((in @ X1698 @ (powerset @ X1694))=>((setminus @ X1694 @ (binintersect @ (binunion @ X1695 @ X1696) @ (binunion @ X1697 @ X1698)))=(binunion @ (binintersect @ (setminus @ X1694 @ X1695) @ (setminus @ X1694 @ X1696)) @ (binintersect @ (setminus @ X1694 @ X1697) @ (setminus @ X1694 @ X1698))))))))))))=>(![X1554:$i, X1555:$i]:(((in @ X1555 @ (powerset @ X1554))=>![X1556:$i]:(((in @ X1556 @ (powerset @ X1554))=>![X1557:$i]:(((in @ X1557 @ (powerset @ X1554))=>(in @ (binintersect @ X1555 @ X1556) @ (powerset @ (binintersect @ (binunion @ X1555 @ X1557) @ (binunion @ X1556 @ X1557))))))))))=>(![X1691:$i, X1692:$i]:(((in @ X1692 @ (powerset @ X1691))=>![X1693:$i]:(((in @ X1693 @ (powerset @ X1691))=>((subset @ X1692 @ (setminus @ X1691 @ X1693))=>(subset @ X1693 @ (setminus @ X1691 @ X1692)))))))=>(![X1558:$i, X1559:$i]:(((in @ X1559 @ (powerset @ X1558))=>![X1560:$i]:(((in @ X1560 @ (powerset @ X1558))=>(in @ (setminus @ X1558 @ (binunion @ X1559 @ X1560)) @ (powerset @ (setminus @ X1558 @ X1559)))))))=>(![X1561:$i, X1562:$i]:(((breln1 @ X1561 @ X1562)=>![X1563:$i > $o]:((![X1564:$i]:(((in @ X1564 @ X1561)=>![X1565:$i]:(((in @ X1565 @ X1561)=>((in @ (kpair @ X1564 @ X1565) @ X1562)=>(X1563 @ (kpair @ X1564 @ X1565)))))))=>![X1566:$i]:(((in @ X1566 @ X1562)=>(X1563 @ X1566)))))))=>(![X1567:$i, X1568:$i]:(((in @ X1568 @ (breln1Set @ X1567))=>(breln1 @ X1567 @ X1568)))=>((choice2fnsingleton)=>(![X1689:$i, X1690:$i > $i > $o]:((breln1 @ X1689 @ (dpsetconstr @ X1689 @ X1689 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1690 @ Z0 @ Z1))))))=>(![X1569:$i, X1570:$i]:(((breln1 @ X1569 @ X1570)=>![X1571:$i > $o]:((![X1572:$i]:(((in @ X1572 @ X1569)=>![X1573:$i]:(((in @ X1573 @ X1569)=>((in @ (kpair @ X1572 @ X1573) @ X1570)=>(X1571 @ (kpair @ X1572 @ X1573)))))))=>![X1574:$i]:(((in @ X1574 @ X1570)=>(X1571 @ X1574)))))))=>(![X1575:$i, X1576:$i]:(((breln1 @ X1575 @ X1576)=>![X1577:$i]:(((breln1 @ X1575 @ X1577)=>(![X1578:$i]:(((in @ X1578 @ X1575)=>![X1579:$i]:(((in @ X1579 @ X1575)=>((in @ (kpair @ X1578 @ X1579) @ X1576)=>(in @ (kpair @ X1578 @ X1579) @ X1577))))))=>(subset @ X1576 @ X1577))))))=>(![X1580:$i, X1581:$i]:(((breln1 @ X1580 @ X1581)=>![X1582:$i]:(((breln1 @ X1580 @ X1582)=>(![X1583:$i]:(((in @ X1583 @ X1580)=>![X1584:$i]:(((in @ X1584 @ X1580)=>((in @ (kpair @ X1583 @ X1584) @ X1581)=>(in @ (kpair @ X1583 @ X1584) @ X1582))))))=>(![X1585:$i]:(((in @ X1585 @ X1580)=>![X1586:$i]:(((in @ X1586 @ X1580)=>((in @ (kpair @ X1585 @ X1586) @ X1582)=>(in @ (kpair @ X1585 @ X1586) @ X1581))))))=>((X1581)=(X1582))))))))=>(![X1587:$i, X1588:$i]:(((breln1 @ X1587 @ X1588)=>(breln1 @ X1587 @ (breln1invset @ X1587 @ X1588))))=>(![X1589:$i, X1590:$i]:(((breln1 @ X1589 @ X1590)=>![X1591:$i]:(((in @ X1591 @ X1589)=>![X1592:$i]:(((in @ X1592 @ X1589)=>((in @ (kpair @ X1591 @ X1592) @ X1590)=>(in @ (kpair @ X1592 @ X1591) @ (breln1invset @ X1589 @ X1590)))))))))=>(![X1685:$i, X1686:$i]:(((breln1 @ X1685 @ X1686)=>![X1687:$i]:(((in @ X1687 @ X1685)=>![X1688:$i]:(((in @ X1688 @ X1685)=>((in @ (kpair @ X1688 @ X1687) @ (breln1invset @ X1685 @ X1686))=>(in @ (kpair @ X1687 @ X1688) @ X1686))))))))=>(![X1682:$i, X1683:$i]:(((breln1 @ X1682 @ X1683)=>![X1684:$i]:(((breln1 @ X1682 @ X1684)=>(breln1 @ X1682 @ (breln1compset @ X1682 @ X1683 @ X1684))))))=>(![X1593:$i, X1594:$i]:(((breln1 @ X1593 @ X1594)=>![X1595:$i]:(((breln1 @ X1593 @ X1595)=>![X1596:$i]:(((in @ X1596 @ X1593)=>![X1597:$i]:(((in @ X1597 @ X1593)=>![X1598:$i]:(((in @ X1598 @ X1593)=>((in @ (kpair @ X1596 @ X1598) @ X1594)=>((in @ (kpair @ X1598 @ X1597) @ X1595)=>(in @ (kpair @ X1596 @ X1597) @ (breln1compset @ X1593 @ X1594 @ X1595))))))))))))))=>(![X1599:$i, X1600:$i]:(((breln1 @ X1599 @ X1600)=>![X1601:$i]:(((breln1 @ X1599 @ X1601)=>![X1602:$i]:(((in @ X1602 @ X1599)=>![X1603:$i]:(((in @ X1603 @ X1599)=>((in @ (kpair @ X1602 @ X1603) @ (breln1compset @ X1599 @ X1600 @ X1601))=>?[X1604:$i]:((((in @ X1604 @ X1599)&(in @ (kpair @ X1602 @ X1604) @ X1600))&(in @ (kpair @ X1604 @ X1603) @ X1601))))))))))))=>(![X1675:$i, X1676:$i]:(((breln1 @ X1675 @ X1676)=>![X1677:$i]:(((breln1 @ X1675 @ X1677)=>![X1678:$i]:(((in @ X1678 @ X1675)=>![X1679:$i]:(((in @ X1679 @ X1675)=>((in @ (kpair @ X1678 @ X1679) @ (breln1compset @ X1675 @ X1676 @ X1677))=>![X1680:$o]:((![X1681:$i]:(((in @ X1681 @ X1675)=>((in @ (kpair @ X1678 @ X1681) @ X1676)=>((in @ (kpair @ X1681 @ X1679) @ X1677)=>(X1680)))))=>(X1680))))))))))))=>(![X1672:$i, X1673:$i]:(((breln1 @ X1672 @ X1673)=>![X1674:$i]:(((breln1 @ X1672 @ X1674)=>(breln1 @ X1672 @ (binunion @ X1673 @ X1674))))))=>(![X1605:$i, X1606:$i]:(((breln1 @ X1605 @ X1606)=>![X1607:$i]:(((breln1 @ X1605 @ X1607)=>![X1608:$i]:(((in @ X1608 @ X1605)=>![X1609:$i]:(((in @ X1609 @ X1605)=>((in @ (kpair @ X1608 @ X1609) @ X1606)=>(in @ (kpair @ X1608 @ X1609) @ (binunion @ X1606 @ X1607)))))))))))=>(![X1667:$i, X1668:$i]:(((breln1 @ X1667 @ X1668)=>![X1669:$i]:(((breln1 @ X1667 @ X1669)=>![X1670:$i]:(((in @ X1670 @ X1667)=>![X1671:$i]:(((in @ X1671 @ X1667)=>((in @ (kpair @ X1670 @ X1671) @ X1669)=>(in @ (kpair @ X1670 @ X1671) @ (binunion @ X1668 @ X1669)))))))))))=>(![X1662:$i, X1663:$i]:(((breln1 @ X1662 @ X1663)=>![X1664:$i]:(((breln1 @ X1662 @ X1664)=>![X1665:$i]:(((in @ X1665 @ X1662)=>![X1666:$i]:(((in @ X1666 @ X1662)=>(((in @ (kpair @ X1665 @ X1666) @ X1663)|(in @ (kpair @ X1665 @ X1666) @ X1664))=>(in @ (kpair @ X1665 @ X1666) @ (binunion @ X1663 @ X1664)))))))))))=>(![X1657:$i, X1658:$i]:(((breln1 @ X1657 @ X1658)=>![X1659:$i]:(((breln1 @ X1657 @ X1659)=>![X1660:$i]:(((in @ X1660 @ X1657)=>![X1661:$i]:(((in @ X1661 @ X1657)=>((in @ (kpair @ X1660 @ X1661) @ (binunion @ X1658 @ X1659))=>((in @ (kpair @ X1660 @ X1661) @ X1658)|(in @ (kpair @ X1660 @ X1661) @ X1659)))))))))))=>(![X1610:$i, X1611:$i]:(((breln1 @ X1610 @ X1611)=>![X1612:$i]:(((breln1 @ X1610 @ X1612)=>![X1613:$i]:(((in @ X1613 @ X1610)=>![X1614:$i]:(((in @ X1614 @ X1610)=>((in @ (kpair @ X1613 @ X1614) @ (binunion @ X1611 @ X1612))=>![X1615:$o]:((((in @ (kpair @ X1613 @ X1614) @ X1611)=>(X1615))=>(((in @ (kpair @ X1613 @ X1614) @ X1612)=>(X1615))=>(X1615)))))))))))))=>(![X1616:$i, X1617:$i]:(((breln1 @ X1616 @ X1617)=>![X1618:$i]:(((breln1 @ X1616 @ X1618)=>((binunion @ X1617 @ X1618)=(binunion @ X1618 @ X1617))))))=>(![X1655:$i, X1656:$i]:(((breln1 @ X1655 @ X1656)=>((X1656)=(breln1invset @ X1655 @ (breln1invset @ X1655 @ X1656)))))=>(![X1652:$i, X1653:$i]:(((breln1 @ X1652 @ X1653)=>![X1654:$i]:(((breln1 @ X1652 @ X1654)=>((breln1invset @ X1652 @ (breln1compset @ X1652 @ X1653 @ X1654))=(breln1compset @ X1652 @ (breln1invset @ X1652 @ X1654) @ (breln1invset @ X1652 @ X1653)))))))=>(![X1619:$i, X1620:$i]:(((breln1 @ X1619 @ X1620)=>![X1621:$i]:(((breln1 @ X1619 @ X1621)=>![X1622:$i]:(((breln1 @ X1619 @ X1622)=>((breln1compset @ X1619 @ (binunion @ X1620 @ X1621) @ X1622)=(binunion @ (breln1compset @ X1619 @ X1620 @ X1622) @ (breln1compset @ X1619 @ X1621 @ X1622)))))))))=>(![X1648:$i, X1649:$i]:(((breln1 @ X1648 @ X1649)=>![X1650:$i]:(((breln1 @ X1648 @ X1650)=>![X1651:$i]:(((breln1 @ X1648 @ X1651)=>((breln1compset @ X1648 @ (binunion @ X1649 @ X1650) @ X1651)=(binunion @ (breln1invset @ X1648 @ (breln1compset @ X1648 @ (breln1invset @ X1648 @ X1651) @ (breln1invset @ X1648 @ X1650))) @ (breln1invset @ X1648 @ (breln1compset @ X1648 @ (breln1invset @ X1648 @ X1651) @ (breln1invset @ X1648 @ X1649)))))))))))=>(![X1623:$i, X1624:$i > $i]:(?[X1625:$i]:(![X1626:$i]:(((in @ X1626 @ X1625)<=>?[X1627:$i]:(((in @ X1627 @ X1623)&((X1626)=(X1624 @ X1627))))))))=>(![X1628:$i, X1629:$i > $i]:(?[X1630:$i]:((![X1631:$i]:(((in @ X1631 @ X1630)<=>?[X1632:$i]:(((in @ X1632 @ X1628)&((X1631)=(X1629 @ X1632))))))&![X1633:$i]:((![X1634:$i]:(((in @ X1634 @ X1633)<=>?[X1635:$i]:(((in @ X1635 @ X1628)&((X1634)=(X1629 @ X1635))))))=>((X1630)=(X1633)))))))=>(![X1644:$i, X1645:$i > $i, X1646:$i]:(((in @ X1646 @ (image1 @ X1644 @ X1645))<=>?[X1647:$i]:(((in @ X1647 @ X1644)&((X1646)=(X1645 @ X1647))))))=>(![X1636:$i, X1637:$i > $i, X1638:$i]:(((in @ X1638 @ (image1 @ X1636 @ X1637))=>?[X1639:$i]:(((in @ X1639 @ X1636)&((X1638)=(X1637 @ X1639))))))=>(![X1640:$i, X1641:$i > $i, X1642:$i]:((?[X1643:$i]:(((in @ X1643 @ X1640)&((X1642)=(X1641 @ X1643))))=>(in @ X1642 @ (image1 @ X1640 @ X1641))))=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((injective @ X4 @ X5 @ X29)=>(in @ X29 @ (dsetconstr @ (funcSet @ X4 @ X5) @ (^[Z0/* 3 */:$i]:((injective @ X4 @ X5 @ Z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[injFuncInInjFuncSet]), c_0_332]), setextAx]), binintersectSubset2]), ubforcartprodlem1]), binintersectLsub]), binintersectEL]), setukpairinjL]), binunionLsub]), binunionE]), binunionEcases]), setukpairinjR1]), binunionIL]), c_0_333]), setukpairinjR2]), inPowerset]), subset2powerset]), subsetTrans]), c_0_334]), subsetRefl]), notsubsetI]), ksndpairEq]), subsetE2]), setunionE2]), subsetE]), emptysetsubset]), subsetI2]), kpairsurjEq]), eqimpsubset1]), eqimpsubset2]), cartprodpairmemEL]), subsetI1]), ap2apEq2]), setunionsingleton1]), c_0_335]), omega__Cong]), setadjoin__Cong]), cartprodpairmemER]), emptyset__Cong]), notdexE]), cartprodmempaircEq]), quantDeMorgan3]), vacuousDall]), upairsetE]), c_0_336]), singletonsswitch]), eqinunit]), c_0_337]), c_0_338]), c_0_339]), subPowSU]), c_0_340]), setunionE]), setunionI]), c_0_341]), emptyInPowerset]), c_0_342]), setadjoinIR]), app]), c_0_343]), c_0_344]), infuncsetfunc]), emptyI]), c_0_345]), notinemptyset]), c_0_346]), c_0_347]), c_0_348]), c_0_349]), c_0_350]), foundationAx]), omegaIndAx]), omega0Ax]), funcGraphProp1]), setunionAx]), emptysetAx]), funcextLem]), subbreln]), ap2apEq1]), woz1_5]), c_0_351]), c_0_352]), c_0_353]), c_0_354]), c_0_355]), theeq]), iftrue]), iffalse]), c_0_356]), iftrueorfalse]), c_0_357]), binintersectT_lem]), setminusT_lem]), complementT_lem]), setextT]), powersetTI1]), complementTI1]), contrasubsetT]), doubleComplementE1]), doubleComplementEq]), complementImpComplementIntersect]), complementSubsetComplementIntersect]), binunionTILcontra]), complementUnionInPowersetComplement]), demorgan1b]), demorgan1]), demorgan2b]), demorgan2]), woz13rule0]), woz13rule1]), woz13rule2]), woz13rule4]), woz1_3]), c_0_358]), c_0_359]), c_0_360]), c_0_361]), funcext2]), funcext]), breln1all2]), breln1SetBreln1]), breln1all1]), subbreln1]), eqbreln1]), breln1invprop]), breln1invI]), breln1compI]), breln1compE]), breln1unionIL]), breln1unionEcases]), breln1unionCommutes]), woz2A]), image1Ex]), c_0_362]), c_0_363]), c_0_364]), c_0_365]), c_0_366]), setukpairinjL1]), woz2B]), woz2W]), woz2Ex]), breln1unionE]), breln1unionI]), breln1unionIR]), breln1unionprop]), breln1compEex]), breln1compprop]), breln1invE]), c_0_367]), woz1_4]), woz1_2]), woz1_1]), woz13rule3]), demorgan2b2]), demorgan2a]), demorgan1a]), demorgan2a2]), demorgan2a1]), binunionTEcontra]), binunionTE]), inComplementUnionImpInComplement1]), inComplementUnionImpNotIn1]), intersectInPowersetIntersectUnions]), inIntersectImpInIntersectUnions]), inIntersectImpInUnion2]), inIntersectImpInUnion]), binunionTIRcontra]), complementTcontraSubset]), contraSubsetComplement]), complementInPowersetComplementIntersect]), complementTnotintersectT]), doubleComplementSub2]), doubleComplementSub1]), doubleComplementI1]), contrasubsetT3]), contrasubsetT2]), contrasubsetT1]), binintersectTERcontra]), binintersectTELcontra]), complementTE1]), powersetTE1]), subsetTI]), powersetT_lem]), binunionT_lem]), ifp]), c_0_368]), eqbreln]), funcGraphProp4]), funcGraphProp2]), funcGraphProp3]), c_0_369]), brelnall2]), brelnall1]), c_0_370]), funcinfuncset]), ap2p]), c_0_371]), c_0_372]), c_0_373]), c_0_374]), c_0_375]), cartprodpairsurjEq]), cartprodsndpairEq]), cartprodfstpairEq]), cartprodsndin]), setukpairinjR]), upairequniteq]), setukpairinjR12]), setukpairinjR11]), setukpairinjL2]), kfstpairEq]), theprop]), c_0_376]), singletonsuniq]), c_0_377]), c_0_378]), setunionsingleton]), setunionsingleton2]), cartprodmempair]), cartprodmempair1]), cartprodpairin]), ubforcartprodlem3]), ubforcartprodlem2]), upairinpowunion]), upairsubunion]), singletoninpowerset]), singletonsubset]), kpairp]), kpairiskpair]), setukpairIL]), symdiffIneg2]), symdiffE]), setminusSubset1]), setminusLsub]), setminusIRneg]), setminusILneg]), setminusELneg]), setminusSubset2]), setminusER]), bs114d]), binintersectSubset1]), binintersectSubset4]), disjointsetsI1]), binintersectER]), cartprodfstin]), upairset2E]), singletoninpowunion]), setukpairIR]), secondinupair]), symdiffIneg1]), symdiffI2]), symdiffI1]), setminusERneg]), setminusEL]), setminusI]), binintersectRsub]), binintersectSubset3]), binintersectSubset5]), binintersectI]), binunionRsub]), binunionIR]), upairset2IR]), c_0_379]), powersetsubset]), powersetE1]), powersetI1]), subsetemptysetimpeq]), setextsub]), setadjoinSub2]), setadjoinSub]), notequalI2]), notequalI1]), c_0_380]), setunion__Cong]), powerset__Cong]), c_0_381]), c_0_382]), in__Cong]), inCongP]), c_0_383]), c_0_384]), c_0_385]), notdallE]), prop2setI]), quantDeMorgan4]), quantDeMorgan2]), quantDeMorgan1]), c_0_386]), upairsetIR]), upairsetIL]), notinsingleton]), uniqinunit]), powersetE]), emptyinPowerset]), powersetI]), setadjoinOr]), setadjoinE]), emptyinunitempty]), setadjoinIL]), c_0_387]), c_0_388]), noeltsimpempty]), setext]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_389]), c_0_390]), wellorderingAx]), c_0_391]), omegaSAx]), powersetAx]), setadjoinAx])])]), c_0_392])).
0.39/0.91	thf(c_0_394, negated_conjecture, ![X2189:$i, X2190:$i, X2192:$i, X2193:$i, X2194:$i, X2195:$i, X2196:$i, X2197:$i, X2198:$i, X2199:$i, X2200:$i, X2202:$i, X2203:$i, X2205:$i, X2206:$i, X2207:$i, X2208:$i, X2209:$i, X2211:$i, X2212:$i > $i > $o, X2213:$i, X2215:$i, X2218:$i, X2220:$i, X2221:$i, X2222:$i, X2223:$i, X2225:$i, X2226:$i > $o, X2227:$i, X2229:$i, X2230:$i > $o, X2231:$i, X2232:$i, X2233:$i > $o, X2234:$i, X2235:$i, X2236:$i > $o, X2237:$i, X2238:$i > $o, X2239:$i, X2242:$i, X2243:$o, X2244:$i, X2245:$i, X2246:$o, X2247:$i, X2248:$i, X2249:$i > $o, X2250:$i, X2253:$i, X2254:$i, X2257:$i, X2259:$i, X2261:$i, X2262:$i > $o, X2263:$i, X2264:$i, X2266:$i, X2267:$i > $o, X2268:$i, X2269:$i, X2270:$i, X2271:$i, X2272:$i, X2273:$i, X2274:$i, X2275:$i, X2276:$i, X2277:$i, X2278:$i, X2279:$o, X2280:$i, X2281:$i, X2282:$i, X2283:$i, X2284:$i, X2285:$i, X2287:$i, X2288:$i, X2289:$i, X2290:$i, X2291:$i, X2292:$i, X2293:$i, X2294:$i, X2295:$i, X2296:$i, X2297:$o, X2299:$i, X2300:$i, X2301:$i > $o, X2302:$i, X2305:$i, X2306:$i, X2307:$i, X2309:$i, X2310:$i, X2311:$i, X2312:$i, X2313:$i, X2314:$i, X2315:$i, X2316:$i, X2317:$i, X2318:$i, X2319:$i, X2320:$i, X2321:$i, X2322:$i, X2323:$i, X2324:$i, X2325:$i > $o, X2326:$i, X2327:$i > $o, X2328:$i, X2329:$i, X2330:$i > $o, X2331:$i, X2333:$i, X2334:$i > $o, X2336:$i, X2337:$i, X2338:$i > $o, X2340:$i, X2341:$i, X2342:$i > $o, X2343:$i, X2345:$o, X2346:$i, X2347:$i > $o, X2349:$i, X2350:$i, X2351:$i > $o, X2352:$i, X2354:$i > $o, X2355:$i, X2358:$i, X2359:$i > $o, X2360:$i, X2364:$i, X2365:$i > $o, X2366:$i, X2369:$i, X2370:$i, X2371:$i, X2372:$i, X2373:$i, X2374:$i, X2375:$i, X2376:$i, X2377:$i, X2378:$i > $o, X2379:$i, X2381:$i, X2382:$i, X2383:$i > $o, X2384:$i > $o, X2387:$i, X2390:$i, X2391:$i, X2394:$i, X2395:$i, X2396:$i, X2397:$i, X2398:$i, X2399:$i, X2400:$i, X2401:$i, X2402:$i, X2403:$i > $o, X2404:$i, X2406:$i, X2407:$i, X2408:$i > $o, X2409:$i > $o, X2412:$i, X2414:$i, X2416:$i, X2417:$i, X2418:$i > $o, X2419:$i > $o, X2422:$i, X2423:$i, X2425:$i, X2426:$i, X2427:$i, X2428:$i, X2429:$i, X2430:$i, X2432:$i, X2433:$i, X2434:$i, X2435:$i, X2436:$i, X2437:$i, X2438:$i, X2439:$i, X2440:$i, X2441:$i, X2442:$i, X2443:$i, X2444:$i, X2445:$i, X2446:$i, X2447:$i, X2448:$i, X2449:$i, X2450:$i, X2451:$i, X2452:$i, X2453:$i, X2454:$i, X2455:$i, X2456:$i, X2457:$i, X2458:$i, X2459:$i, X2460:$i, X2461:$i, X2462:$i, X2463:$i, X2464:$i, X2465:$i, X2466:$i, X2467:$i, X2468:$i, X2469:$i > $o, X2470:$i, X2471:$i > $o, X2472:$i, X2473:$i, X2474:$i, X2475:$i, X2476:$i, X2477:$i, X2478:$i, X2479:$i, X2480:$i, X2481:$i, X2482:$i, X2483:$o, X2484:$i, X2485:$i, X2486:$i, X2487:$i, X2488:$i, X2489:$i, X2490:$i, X2491:$i, X2492:$i, X2493:$i, X2494:$i, X2495:$i, X2496:$i, X2497:$i, X2498:$i, X2499:$i, X2500:$i, X2501:$i, X2502:$i, X2503:$i, X2504:$i, X2505:$i, X2506:$i, X2507:$i, X2508:$i, X2509:$i, X2510:$i, X2512:$i, X2513:$i, X2514:$i, X2515:$i, X2516:$i, X2517:$i, X2518:$i, X2519:$i, X2520:$i, X2521:$i, X2522:$i, X2523:$i, X2524:$i, X2525:$i, X2526:$i, X2527:$i, X2528:$i, X2529:$i, X2530:$i, X2531:$i, X2532:$i, X2533:$i, X2534:$i, X2535:$i, X2536:$i, X2537:$i, X2538:$i, X2539:$i, X2540:$i, X2541:$i, X2542:$i, X2543:$i, X2544:$i, X2545:$i, X2546:$i, X2547:$i, X2548:$i, X2549:$i, X2550:$i, X2551:$o, X2552:$i, X2553:$i, X2554:$i, X2555:$i, X2556:$i, X2557:$i, X2558:$i, X2559:$i, X2560:$i, X2561:$i, X2562:$i, X2563:$i, X2564:$i, X2565:$i, X2566:$i, X2567:$i, X2568:$i, X2569:$i, X2570:$i, X2571:$i, X2572:$i, X2573:$i, X2574:$i, X2575:$i, X2576:$i, X2577:$i, X2578:$i, X2579:$i, X2580:$i, X2581:$i, X2582:$i, X2583:$i, X2584:$i, X2585:$i, X2586:$i, X2587:$i, X2588:$i, X2589:$i, X2590:$i, X2591:$i, X2592:$i, X2593:$i, X2594:$i, X2595:$i, X2596:$i, X2597:$i, X2598:$i, X2599:$i, X2600:$i, X2601:$i, X2602:$i, X2603:$i, X2604:$i, X2605:$i, X2606:$i, X2607:$i, X2608:$i, X2609:$i, X2610:$i, X2613:$i, X2614:$i, X2615:$i, X2616:$i, X2617:$i, X2619:$i, X2620:$i, X2621:$i, X2622:$i, X2623:$i > $o, X2626:$i, X2627:$i, X2628:$i > $o, X2630:$i, X2631:$i > $o, X2632:$i, X2634:$i, X2635:$i > $o, X2638:$i, X2639:$i, X2640:$i, X2641:$i, X2642:$i, X2643:$i, X2644:$i, X2645:$i, X2646:$i, X2647:$i, X2648:$i, X2649:$i, X2650:$i, X2651:$i, X2652:$i, X2653:$i, X2654:$i, X2655:$i, X2656:$i, X2657:$i, X2658:$i, X2659:$i, X2660:$i, X2661:$i, X2662:$i, X2663:$i, X2664:$i, X2665:$i, X2666:$i, X2667:$i, X2668:$i, X2669:$i, X2670:$i, X2671:$i, X2672:$i, X2673:$i, X2674:$i, X2675:$i, X2676:$i, X2677:$i, X2678:$i, X2679:$i, X2680:$i, X2681:$i, X2682:$i, X2683:$i, X2684:$i, X2685:$i, X2686:$i, X2687:$i, X2688:$i, X2689:$i, X2690:$i, X2691:$i, X2692:$i, X2693:$i, X2694:$i, X2695:$i, X2696:$i, X2697:$i, X2698:$i, X2699:$i, X2700:$i, X2701:$i, X2702:$i, X2703:$i, X2704:$i, X2705:$i, X2706:$i, X2707:$i, X2708:$i, X2709:$i, X2710:$i > $i > $o, X2711:$i, X2712:$i, X2713:$i, X2714:$i, X2715:$i > $i > $o, X2716:$i, X2717:$i, X2718:$i > $i > $o, X2719:$i, X2720:$i, X2721:$i > $i > $o, X2722:$i, X2723:$i, X2724:$i, X2725:$i, X2726:$i > $i > $o, X2727:$i, X2728:$i, X2729:$i, X2730:$i, X2731:$i > $i > $o, X2732:$i, X2733:$i, X2734:$i, X2735:$i, X2736:$i > $i > $o, X2737:$i, X2738:$i, X2739:$i, X2740:$i, X2741:$i, X2742:$i, X2743:$i, X2744:$i, X2745:$i, X2746:$i, X2747:$i, X2748:$i, X2749:$i, X2750:$i, X2751:$i, X2752:$i, X2753:$i, X2754:$i, X2755:$i, X2756:$i, X2757:$i, X2758:$i, X2759:$i, X2760:$i, X2761:$i, X2762:$i, X2763:$i > $i, X2765:$i, X2766:$i, X2767:$i > $i, X2769:$i, X2770:$i, X2771:$i > $i, X2773:$i, X2774:$i, X2775:$i, X2776:$i > $o, X2779:$i, X2780:$i, X2781:$i, X2782:$i, X2783:$i > $o, X2786:$i, X2787:$i, X2788:$i > $o, X2789:$i, X2790:$i, X2791:$i, X2792:$i, X2793:$i, X2794:$i, X2795:$i, X2796:$i, X2797:$i, X2798:$i, X2799:$i, X2800:$i, X2801:$i, X2802:$i, X2803:$i, X2804:$i, X2805:$i, X2806:$i, X2807:$i, X2809:$i, X2810:$i, X2811:$i, X2812:$i, X2813:$i, X2814:$i, X2815:$i, X2816:$i, X2817:$i, X2818:$i, X2819:$i, X2822:$i, X2823:$i, X2824:$i, X2825:$i, X2830:$i, X2831:$i, X2832:$i, X2833:$i, X2835:$i, X2836:$i, X2837:$i, X2838:$i, X2840:$i, X2841:$i, X2842:$i, X2843:$i, X2844:$i, X2845:$i, X2846:$i, X2847:$i, X2848:$i, X2849:$i, X2850:$i > $i, X2852:$i, X2853:$i, X2854:$i, X2855:$i, X2856:$i, X2857:$i, X2858:$i > $i, X2860:$i, X2861:$i, X2862:$i > $i, X2864:$i, X2865:$i, X2866:$i, X2867:$i, X2868:$i, X2869:$o, X2870:$i, X2871:$i, X2872:$i, X2873:$o, X2874:$i, X2875:$i, X2876:$i, X2877:$o, X2878:$i, X2879:$i, X2880:$i, X2881:$o, X2882:$i, X2883:$i, X2884:$i, X2885:$o, X2886:$i, X2887:$i, X2888:$i, X2889:$o, X2890:$i, X2891:$i, X2892:$i, X2893:$i, X2894:$i, X2895:$o, X2896:$i, X2897:$i, X2898:$i, X2899:$o, X2900:$i, X2901:$i, X2902:$i, X2903:$o, X2904:$i, X2905:$i, X2906:$i, X2907:$i, X2908:$i, X2909:$i, X2910:$i, X2911:$i, X2912:$i, X2913:$i, X2914:$i, X2915:$i, X2916:$i, X2917:$i, X2918:$i, X2919:$i, X2920:$i, X2921:$i, X2924:$i, X2925:$i, X2926:$i, X2928:$i, X2929:$i, X2930:$i, X2932:$i, X2933:$i, X2934:$i, X2935:$i, X2936:$i, X2937:$i, X2938:$i, X2939:$i, X2940:$i, X2941:$i, X2942:$i, X2943:$i, X2944:$i, X2945:$i, X2946:$i, X2947:$i, X2948:$i, X2949:$i, X2950:$i, X2951:$i, X2952:$i, X2953:$i, X2954:$i, X2955:$i, X2956:$i, X2957:$i, X2958:$i, X2959:$i, X2960:$i, X2961:$i, X2962:$i, X2963:$i, X2964:$i, X2965:$i, X2966:$i, X2967:$i, X2968:$i, X2969:$i, X2970:$i, X2971:$i, X2972:$i, X2973:$i, X2974:$i, X2975:$i, X2976:$i, X2977:$i, X2978:$i, X2979:$i, X2980:$i, X2981:$i, X2982:$i, X2983:$i, X2984:$i, X2985:$i, X2986:$i, X2987:$i, X2988:$i, X2989:$i, X2990:$i, X2991:$i, X2992:$i, X2993:$i, X2994:$i, X2995:$i, X2996:$i, X2997:$i, X2998:$i, X2999:$i, X3000:$i, X3001:$i, X3002:$i, X3003:$i, X3004:$i, X3005:$i, X3006:$i, X3007:$i, X3008:$i, X3009:$i, X3010:$i, X3011:$i, X3012:$i, X3013:$i, X3014:$i, X3015:$i, X3016:$i, X3017:$i, X3018:$i, X3019:$i, X3020:$i, X3021:$i, X3022:$i, X3023:$i, X3024:$i, X3025:$i, X3026:$i, X3027:$i, X3028:$i, X3029:$i, X3030:$i, X3031:$i, X3032:$i, X3033:$i, X3034:$i, X3035:$o, X3036:$i, X3037:$i, X3038:$i, X3039:$i, X3040:$i, X3041:$i, X3042:$i, X3043:$i, X3044:$i, X3045:$i, X3046:$i, X3047:$i, X3048:$i, X3049:$i, X3050:$i, X3051:$i, X3052:$i, X3053:$i, X3054:$i, X3055:$i, X3056:$i, X3057:$i, X3058:$i, X3059:$i, X3060:$i, X3061:$i, X3062:$i, X3063:$i, X3064:$i, X3065:$i, X3066:$i, X3067:$i, X3068:$i, X3069:$i, X3070:$i, X3071:$i, X3072:$i, X3073:$i, X3074:$i, X3075:$i, X3076:$i, X3077:$i, X3078:$i, X3079:$i, X3080:$i, X3081:$i, X3082:$i, X3083:$i, X3084:$i, X3085:$i, X3086:$i, X3087:$i, X3088:$i, X3089:$i, X3090:$i, X3091:$i, X3092:$i, X3093:$i, X3094:$i, X3095:$i, X3096:$i, X3097:$i, X3098:$i, X3099:$i, X3100:$i, X3101:$i, X3102:$i, X3103:$i, X3104:$i, X3105:$i, X3106:$i, X3107:$i, X3108:$i, X3109:$i, X3110:$i, X3111:$i, X3112:$i, X3113:$i, X3114:$i, X3115:$i, X3116:$i, X3117:$i, X3118:$i, X3119:$i > $o, X3122:$i, X3123:$i, X3124:$i, X3125:$i, X3126:$i > $i > $o, X3127:$i, X3128:$i, X3129:$i > $o, X3132:$i, X3133:$i, X3134:$i, X3135:$i, X3138:$i, X3139:$i, X3140:$i, X3145:$i, X3146:$i, X3147:$i, X3148:$i, X3149:$i, X3150:$i, X3151:$i, X3152:$i, X3153:$i, X3154:$i, X3155:$i, X3156:$i, X3157:$i, X3158:$i, X3159:$i, X3160:$i, X3161:$i, X3162:$i, X3163:$i, X3164:$i, X3165:$i, X3166:$i, X3167:$i, X3168:$i, X3170:$i, X3171:$i, X3172:$i, X3173:$i, X3174:$i, X3175:$o, X3177:$i, X3178:$i, X3179:$i, X3180:$i, X3181:$i, X3182:$i, X3183:$i, X3184:$i, X3185:$i, X3186:$i, X3187:$i, X3188:$i, X3189:$i, X3190:$i, X3191:$i, X3192:$i, X3193:$i, X3194:$i, X3195:$i, X3196:$i, X3197:$i, X3198:$i, X3199:$i, X3200:$i, X3201:$i, X3202:$i, X3203:$i, X3204:$i, X3205:$o, X3206:$i, X3207:$i, X3208:$i, X3209:$i, X3210:$i, X3211:$i, X3212:$i, X3213:$i, X3214:$i, X3215:$i, X3216:$i, X3217:$i, X3218:$i, X3219:$i, X3220:$i, X3221:$i, X3222:$i, X3223:$i > $i, X3225:$i, X3227:$i, X3228:$i, X3229:$i, X3230:$i > $i, X3232:$i, X3234:$i, X3235:$i, X3236:$i, X3238:$i, X3240:$i, X3241:$i > $i, X3242:$i, X3244:$i, X3245:$i > $i, X3246:$i, X3247:$i, X3248:$i, X3249:$i > $i, X3250:$i, X3252:$i, X3253:$i > $i, X3254:$i, X3255:$i]:((((~(in @ (esk1_2 @ X2189 @ X2190) @ X2189)|~(in @ (esk1_2 @ X2189 @ X2190) @ X2190)|((X2189)=(X2190)))&((in @ (esk1_2 @ X2189 @ X2190) @ X2189)|(in @ (esk1_2 @ X2189 @ X2190) @ X2190)|((X2189)=(X2190))))&(~(in @ X2192 @ emptyset)&(((~(in @ X2195 @ (setadjoin @ X2193 @ X2194))|(((X2195)=(X2193))|(in @ X2195 @ X2194)))&((((X2195)!=(X2193))|(in @ X2195 @ (setadjoin @ X2193 @ X2194)))&(~(in @ X2195 @ X2194)|(in @ X2195 @ (setadjoin @ X2193 @ X2194)))))&(((~(in @ X2197 @ (powerset @ X2196))|(~(in @ X2198 @ X2197)|(in @ X2198 @ X2196)))&(((in @ (esk2_2 @ X2199 @ X2200) @ X2200)|(in @ X2200 @ (powerset @ X2199)))&(~(in @ (esk2_2 @ X2199 @ X2200) @ X2199)|(in @ X2200 @ (powerset @ X2199)))))&(((((in @ X2203 @ (esk3_2 @ X2202 @ X2203))|~(in @ X2203 @ (setunion @ X2202)))&((in @ (esk3_2 @ X2202 @ X2203) @ X2202)|~(in @ X2203 @ (setunion @ X2202))))&(~(in @ X2206 @ X2207)|~(in @ X2207 @ X2205)|(in @ X2206 @ (setunion @ X2205))))&((in @ emptyset @ omega)&((~(in @ X2208 @ omega)|(in @ (setadjoin @ X2208 @ X2208) @ omega))&(((((in @ (esk4_1 @ X2209) @ omega)|~(in @ emptyset @ X2209)|(~(in @ X2211 @ omega)|(in @ X2211 @ X2209)))&((in @ (esk4_1 @ X2209) @ X2209)|~(in @ emptyset @ X2209)|(~(in @ X2211 @ omega)|(in @ X2211 @ X2209))))&(~(in @ (setadjoin @ (esk4_1 @ X2209) @ (esk4_1 @ X2209)) @ X2209)|~(in @ emptyset @ X2209)|(~(in @ X2211 @ omega)|(in @ X2211 @ X2209))))&((((((in @ (esk8_3 @ X2212 @ X2213 @ X2218) @ X2213)|~(in @ X2218 @ (esk7_2 @ X2212 @ X2213))|(in @ (esk5_2 @ X2212 @ X2213) @ X2213))&((X2212 @ (esk8_3 @ X2212 @ X2213 @ X2218) @ X2218)|~(in @ X2218 @ (esk7_2 @ X2212 @ X2213))|(in @ (esk5_2 @ X2212 @ X2213) @ X2213)))&(~(in @ X2221 @ X2213)|~(X2212 @ X2221 @ X2220)|(in @ X2220 @ (esk7_2 @ X2212 @ X2213))|(in @ (esk5_2 @ X2212 @ X2213) @ X2213)))&(((((in @ (esk8_3 @ X2212 @ X2213 @ X2218) @ X2213)|~(in @ X2218 @ (esk7_2 @ X2212 @ X2213))|((X2212 @ (esk5_2 @ X2212 @ X2213) @ (esk6_3 @ X2212 @ X2213 @ X2215))|~(X2212 @ (esk5_2 @ X2212 @ X2213) @ X2215)))&((X2212 @ (esk8_3 @ X2212 @ X2213 @ X2218) @ X2218)|~(in @ X2218 @ (esk7_2 @ X2212 @ X2213))|((X2212 @ (esk5_2 @ X2212 @ X2213) @ (esk6_3 @ X2212 @ X2213 @ X2215))|~(X2212 @ (esk5_2 @ X2212 @ X2213) @ X2215))))&(~(in @ X2221 @ X2213)|~(X2212 @ X2221 @ X2220)|(in @ X2220 @ (esk7_2 @ X2212 @ X2213))|((X2212 @ (esk5_2 @ X2212 @ X2213) @ (esk6_3 @ X2212 @ X2213 @ X2215))|~(X2212 @ (esk5_2 @ X2212 @ X2213) @ X2215))))&((((in @ (esk8_3 @ X2212 @ X2213 @ X2218) @ X2213)|~(in @ X2218 @ (esk7_2 @ X2212 @ X2213))|(((X2215)!=(esk6_3 @ X2212 @ X2213 @ X2215))|~(X2212 @ (esk5_2 @ X2212 @ X2213) @ X2215)))&((X2212 @ (esk8_3 @ X2212 @ X2213 @ X2218) @ X2218)|~(in @ X2218 @ (esk7_2 @ X2212 @ X2213))|(((X2215)!=(esk6_3 @ X2212 @ X2213 @ X2215))|~(X2212 @ (esk5_2 @ X2212 @ X2213) @ X2215))))&(~(in @ X2221 @ X2213)|~(X2212 @ X2221 @ X2220)|(in @ X2220 @ (esk7_2 @ X2212 @ X2213))|(((X2215)!=(esk6_3 @ X2212 @ X2213 @ X2215))|~(X2212 @ (esk5_2 @ X2212 @ X2213) @ X2215))))))&((((in @ (esk9_1 @ X2222) @ X2222)|~(in @ X2223 @ X2222))&(~(in @ X2225 @ (esk9_1 @ X2222))|~(in @ X2225 @ X2222)|~(in @ X2223 @ X2222)))&((epred1_0)&((((X2226 @ (esk10_2 @ X2226 @ X2227))|~(X2226 @ X2227)|(X2226 @ (descr @ (^[Z0/* 3 */:$i]:((X2226 @ Z0))))))&(((X2227)!=(esk10_2 @ X2226 @ X2227))|~(X2226 @ X2227)|(X2226 @ (descr @ (^[Z0/* 3 */:$i]:((X2226 @ Z0)))))))&((~(in @ X2231 @ X2229)|(~(X2230 @ X2231)|(in @ X2231 @ (dsetconstr @ X2229 @ (^[Z0/* 3 */:$i]:((X2230 @ Z0)))))))&((~(in @ X2234 @ (dsetconstr @ X2232 @ (^[Z0/* 3 */:$i]:((X2233 @ Z0)))))|(in @ X2234 @ X2232))&((~(in @ X2237 @ (dsetconstr @ X2235 @ (^[Z0/* 3 */:$i]:((X2236 @ Z0)))))|(X2236 @ X2237))&(((((X2238 @ (esk12_1 @ X2238))|((X2238 @ (esk11_2 @ X2238 @ X2239))|~(X2238 @ X2239)))&(~(X2238 @ X2242)|((esk12_1 @ X2238)=(X2242))|((X2238 @ (esk11_2 @ X2238 @ X2239))|~(X2238 @ X2239))))&(((X2238 @ (esk12_1 @ X2238))|(((X2239)!=(esk11_2 @ X2238 @ X2239))|~(X2238 @ X2239)))&(~(X2238 @ X2242)|((esk12_1 @ X2238)=(X2242))|(((X2239)!=(esk11_2 @ X2238 @ X2239))|~(X2238 @ X2239)))))&((~(in @ X2244 @ (prop2set @ ((X2243))))|(X2243))&((~(in @ X2245 @ emptyset)|(X2246))&(~(in @ X2247 @ emptyset)&(~(in @ X2248 @ emptyset)&((((X2249 @ (esk13_2 @ X2249 @ X2250))|~(X2249 @ X2250)|(X2249 @ (esk14_1 @ X2249)))&(((X2250)!=(esk13_2 @ X2249 @ X2250))|~(X2249 @ X2250)|(X2249 @ (esk14_1 @ X2249))))&(((((in @ (esk16_2 @ X2253 @ X2254) @ X2254)|((X2253)=(X2254))|(in @ (esk15_2 @ X2253 @ X2254) @ X2253))&(~(in @ (esk16_2 @ X2253 @ X2254) @ X2253)|((X2253)=(X2254))|(in @ (esk15_2 @ X2253 @ X2254) @ X2253)))&(((in @ (esk16_2 @ X2253 @ X2254) @ X2254)|((X2253)=(X2254))|~(in @ (esk15_2 @ X2253 @ X2254) @ X2254))&(~(in @ (esk16_2 @ X2253 @ X2254) @ X2253)|((X2253)=(X2254))|~(in @ (esk15_2 @ X2253 @ X2254) @ X2254))))&(((in @ (esk17_1 @ X2257) @ X2257)|((X2257)=(emptyset)))&(((in @ (esk18_1 @ X2259) @ X2259)|((X2259)=(emptyset)))&(((~(in @ X2263 @ (dsetconstr @ X2261 @ (^[Z0/* 3 */:$i]:((X2262 @ Z0)))))|(X2262 @ X2263)|~(in @ X2263 @ X2261))&(~(X2262 @ X2263)|(in @ X2263 @ (dsetconstr @ X2261 @ (^[Z0/* 3 */:$i]:((X2262 @ Z0)))))|~(in @ X2263 @ X2261)))&((((X2264)=(emptyset))|(in @ (esk19_1 @ X2264) @ X2264))&((~(in @ X2268 @ X2266)|(~(X2267 @ X2268)|((dsetconstr @ X2266 @ (^[Z0/* 3 */:$i]:((X2267 @ Z0))))!=(emptyset))))&((~(in @ X2270 @ X2269)|((X2269)!=(emptyset)))&((in @ X2271 @ (setadjoin @ X2271 @ X2272))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X2275 @ X2274)|(in @ X2275 @ (setadjoin @ X2273 @ X2274)))&(((((in @ X2278 @ X2277)|(X2279)|((X2278)=(X2276))|~(in @ X2278 @ (setadjoin @ X2276 @ X2277)))&(~(X2279)|(X2279)|((X2278)=(X2276))|~(in @ X2278 @ (setadjoin @ X2276 @ X2277))))&(((in @ X2278 @ X2277)|(X2279)|~(X2279)|~(in @ X2278 @ (setadjoin @ X2276 @ X2277)))&(~(X2279)|(X2279)|~(X2279)|~(in @ X2278 @ (setadjoin @ X2276 @ X2277)))))&((~(in @ X2282 @ (setadjoin @ X2280 @ X2281))|(((X2282)=(X2280))|(in @ X2282 @ X2281)))&(((dsetconstr @ X2283 @ (^[Z0/* 3 */:$i]:(($true))))=(X2283))&((((in @ (esk20_2 @ X2284 @ X2285) @ X2285)|(in @ X2285 @ (powerset @ X2284)))&(~(in @ (esk20_2 @ X2284 @ X2285) @ X2284)|(in @ X2285 @ (powerset @ X2284))))&((in @ emptyset @ (powerset @ X2287))&((in @ emptyset @ (powerset @ X2288))&((~(in @ X2290 @ (powerset @ X2289))|(~(in @ X2291 @ X2290)|(in @ X2291 @ X2289)))&((~(in @ X2293 @ X2294)|(~(in @ X2294 @ X2292)|(in @ X2293 @ (setunion @ X2292))))&((((in @ X2296 @ (esk21_3 @ X2295 @ X2296 @ X2297))|(X2297)|~(in @ X2296 @ (setunion @ X2295)))&(((in @ (esk21_3 @ X2295 @ X2296 @ X2297) @ X2295)|(X2297)|~(in @ X2296 @ (setunion @ X2295)))&(~(X2297)|(X2297)|~(in @ X2296 @ (setunion @ X2295)))))&((~(in @ X2300 @ X2299)|(in @ X2300 @ (powerset @ (setunion @ X2299))))&((((~(X2301 @ X2305)|((X2305)=(esk23_1 @ X2301))|((X2301 @ (esk22_2 @ X2301 @ X2302))|~(X2301 @ X2302)))&(((X2306)!=(esk23_1 @ X2301))|(X2301 @ X2306)|((X2301 @ (esk22_2 @ X2301 @ X2302))|~(X2301 @ X2302))))&((~(X2301 @ X2305)|((X2305)=(esk23_1 @ X2301))|(((X2302)!=(esk22_2 @ X2301 @ X2302))|~(X2301 @ X2302)))&(((X2306)!=(esk23_1 @ X2301))|(X2301 @ X2306)|(((X2302)!=(esk22_2 @ X2301 @ X2302))|~(X2301 @ X2302)))))&((((X2307)=(emptyset))|(in @ (esk24_1 @ X2307) @ X2307))&((~(in @ X2309 @ (setadjoin @ X2310 @ emptyset))|((X2309)=(X2310)))&((((X2311)=(X2312))|~(in @ X2312 @ (setadjoin @ X2311 @ emptyset)))&((((X2313)!=(X2314))|(in @ X2313 @ (setadjoin @ X2314 @ emptyset)))&((~(in @ X2315 @ (setadjoin @ X2316 @ emptyset))|(in @ X2316 @ (setadjoin @ X2315 @ emptyset)))&((~(in @ X2319 @ (setadjoin @ X2317 @ (setadjoin @ X2318 @ emptyset)))|(((X2319)=(X2317))|((X2319)=(X2318))))&((in @ X2320 @ (setadjoin @ X2320 @ (setadjoin @ X2321 @ emptyset)))&((in @ X2323 @ (setadjoin @ X2322 @ (setadjoin @ X2323 @ emptyset)))&((~(in @ X2326 @ X2324)|~(X2325 @ X2326)|((dsetconstr @ X2324 @ (^[Z0/* 3 */:$i]:((X2325 @ Z0))))!=(emptyset)))&((~(in @ X2328 @ emptyset)|(X2327 @ X2328))&((((in @ (esk25_2 @ X2329 @ X2330) @ X2329)|(~(in @ X2331 @ X2329)|(X2330 @ X2331)))&(~(X2330 @ (esk25_2 @ X2329 @ X2330))|(~(in @ X2331 @ X2329)|(X2330 @ X2331))))&((((in @ (esk26_2 @ X2333 @ X2334) @ X2333)|(~(in @ X2336 @ X2333)|~(X2334 @ X2336)))&((X2334 @ (esk26_2 @ X2333 @ X2334))|(~(in @ X2336 @ X2333)|~(X2334 @ X2336))))&((((in @ (esk27_2 @ X2337 @ X2338) @ X2337)|(~(in @ X2340 @ X2337)|~(X2338 @ X2340)))&((X2338 @ (esk27_2 @ X2337 @ X2338))|(~(in @ X2340 @ X2337)|~(X2338 @ X2340))))&((((in @ (esk28_2 @ X2341 @ X2342) @ X2341)|(~(in @ X2343 @ X2341)|(X2342 @ X2343)))&(~(X2342 @ (esk28_2 @ X2341 @ X2342))|(~(in @ X2343 @ X2341)|(X2342 @ X2343))))&((~(X2345)|(in @ emptyset @ (prop2set @ ((X2345)))))&((prop2set2propI)&((((in @ (esk29_2 @ X2346 @ X2347) @ X2346)|(~(in @ X2349 @ X2346)|~(X2347 @ X2349)))&((X2347 @ (esk29_2 @ X2346 @ X2347))|(~(in @ X2349 @ X2346)|~(X2347 @ X2349))))&((((in @ (esk30_2 @ X2350 @ X2351) @ X2350)|(~(in @ X2352 @ X2350)|(X2351 @ X2352)))&(~(X2351 @ (esk30_2 @ X2350 @ X2351))|(~(in @ X2352 @ X2350)|(X2351 @ X2352))))&(((((X2354 @ (esk32_1 @ X2354))|((X2354 @ (esk31_2 @ X2354 @ X2355))|~(X2354 @ X2355)))&(~(X2354 @ X2358)|((esk32_1 @ X2354)=(X2358))|((X2354 @ (esk31_2 @ X2354 @ X2355))|~(X2354 @ X2355))))&(((X2354 @ (esk32_1 @ X2354))|(((X2355)!=(esk31_2 @ X2354 @ X2355))|~(X2354 @ X2355)))&(~(X2354 @ X2358)|((esk32_1 @ X2354)=(X2358))|(((X2355)!=(esk31_2 @ X2354 @ X2355))|~(X2354 @ X2355)))))&(((((X2359 @ (esk35_1 @ X2359))|(X2359 @ (esk33_1 @ X2359))|~(X2359 @ X2360))&(~(X2359 @ X2364)|((esk35_1 @ X2359)=(X2364))|(X2359 @ (esk33_1 @ X2359))|~(X2359 @ X2360)))&((((X2359 @ (esk35_1 @ X2359))|(X2359 @ (esk34_1 @ X2359))|~(X2359 @ X2360))&(~(X2359 @ X2364)|((esk35_1 @ X2359)=(X2364))|(X2359 @ (esk34_1 @ X2359))|~(X2359 @ X2360)))&(((X2359 @ (esk35_1 @ X2359))|((esk33_1 @ X2359)!=(esk34_1 @ X2359))|~(X2359 @ X2360))&(~(X2359 @ X2364)|((esk35_1 @ X2359)=(X2364))|((esk33_1 @ X2359)!=(esk34_1 @ X2359))|~(X2359 @ X2360)))))&(((((X2365 @ (esk37_1 @ X2365))|(~(X2365 @ (esk36_2 @ X2365 @ X2366))|((esk36_2 @ X2365 @ X2366)!=(X2366))))&(~(X2365 @ X2369)|((esk37_1 @ X2365)=(X2369))|(~(X2365 @ (esk36_2 @ X2365 @ X2366))|((esk36_2 @ X2365 @ X2366)!=(X2366)))))&(((X2365 @ (esk37_1 @ X2365))|((X2365 @ (esk36_2 @ X2365 @ X2366))|((esk36_2 @ X2365 @ X2366)=(X2366))))&(~(X2365 @ X2369)|((esk37_1 @ X2365)=(X2369))|((X2365 @ (esk36_2 @ X2365 @ X2366))|((esk36_2 @ X2365 @ X2366)=(X2366))))))&((((X2370)!=(X2371))|(((X2372)!=(X2373))|(~(in @ X2372 @ X2370)|(in @ X2373 @ X2371))))&(((~(in @ X2376 @ X2374)|(in @ X2377 @ X2375)|((X2376)!=(X2377))|((X2374)!=(X2375)))&(~(in @ X2377 @ X2375)|(in @ X2376 @ X2374)|((X2376)!=(X2377))|((X2374)!=(X2375))))&((((X2378 @ (esk38_2 @ X2378 @ X2379))|~(X2378 @ X2379)|(~(X2378 @ X2381)|(~(X2378 @ X2382)|((X2381)=(X2382)))))&(((X2379)!=(esk38_2 @ X2378 @ X2379))|~(X2378 @ X2379)|(~(X2378 @ X2381)|(~(X2378 @ X2382)|((X2381)=(X2382))))))&(((((((X2384 @ (esk42_2 @ X2383 @ X2384))|((X2383 @ (esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|((esk39_2 @ X2383 @ X2384)=(esk40_2 @ X2383 @ X2384)))&(~(X2384 @ X2390)|((esk42_2 @ X2383 @ X2384)=(X2390))|((X2383 @ (esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|((esk39_2 @ X2383 @ X2384)=(esk40_2 @ X2383 @ X2384))))&(((X2384 @ (esk42_2 @ X2383 @ X2384))|(((X2387)!=(esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|((esk39_2 @ X2383 @ X2384)=(esk40_2 @ X2383 @ X2384)))&(~(X2384 @ X2390)|((esk42_2 @ X2383 @ X2384)=(X2390))|(((X2387)!=(esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|((esk39_2 @ X2383 @ X2384)=(esk40_2 @ X2383 @ X2384)))))&((((X2383 @ (esk44_2 @ X2383 @ X2384))|((X2384 @ (esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|((esk39_2 @ X2383 @ X2384)=(esk40_2 @ X2383 @ X2384)))&(~(X2383 @ X2394)|((esk44_2 @ X2383 @ X2384)=(X2394))|((X2384 @ (esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|((esk39_2 @ X2383 @ X2384)=(esk40_2 @ X2383 @ X2384))))&(((X2383 @ (esk44_2 @ X2383 @ X2384))|(((X2391)!=(esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|((esk39_2 @ X2383 @ X2384)=(esk40_2 @ X2383 @ X2384)))&(~(X2383 @ X2394)|((esk44_2 @ X2383 @ X2384)=(X2394))|(((X2391)!=(esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|((esk39_2 @ X2383 @ X2384)=(esk40_2 @ X2383 @ X2384))))))&((((((X2384 @ (esk42_2 @ X2383 @ X2384))|((X2383 @ (esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|(~(X2383 @ (esk39_2 @ X2383 @ X2384))|~(X2384 @ (esk40_2 @ X2383 @ X2384))))&(~(X2384 @ X2390)|((esk42_2 @ X2383 @ X2384)=(X2390))|((X2383 @ (esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|(~(X2383 @ (esk39_2 @ X2383 @ X2384))|~(X2384 @ (esk40_2 @ X2383 @ X2384)))))&(((X2384 @ (esk42_2 @ X2383 @ X2384))|(((X2387)!=(esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|(~(X2383 @ (esk39_2 @ X2383 @ X2384))|~(X2384 @ (esk40_2 @ X2383 @ X2384))))&(~(X2384 @ X2390)|((esk42_2 @ X2383 @ X2384)=(X2390))|(((X2387)!=(esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|(~(X2383 @ (esk39_2 @ X2383 @ X2384))|~(X2384 @ (esk40_2 @ X2383 @ X2384))))))&((((X2383 @ (esk44_2 @ X2383 @ X2384))|((X2384 @ (esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|(~(X2383 @ (esk39_2 @ X2383 @ X2384))|~(X2384 @ (esk40_2 @ X2383 @ X2384))))&(~(X2383 @ X2394)|((esk44_2 @ X2383 @ X2384)=(X2394))|((X2384 @ (esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|(~(X2383 @ (esk39_2 @ X2383 @ X2384))|~(X2384 @ (esk40_2 @ X2383 @ X2384)))))&(((X2383 @ (esk44_2 @ X2383 @ X2384))|(((X2391)!=(esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|(~(X2383 @ (esk39_2 @ X2383 @ X2384))|~(X2384 @ (esk40_2 @ X2383 @ X2384))))&(~(X2383 @ X2394)|((esk44_2 @ X2383 @ X2384)=(X2394))|(((X2391)!=(esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|(~(X2383 @ (esk39_2 @ X2383 @ X2384))|~(X2384 @ (esk40_2 @ X2383 @ X2384)))))))&(((((X2384 @ (esk42_2 @ X2383 @ X2384))|((X2383 @ (esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|((X2383 @ (esk39_2 @ X2383 @ X2384))|(X2384 @ (esk40_2 @ X2383 @ X2384))))&(~(X2384 @ X2390)|((esk42_2 @ X2383 @ X2384)=(X2390))|((X2383 @ (esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|((X2383 @ (esk39_2 @ X2383 @ X2384))|(X2384 @ (esk40_2 @ X2383 @ X2384)))))&(((X2384 @ (esk42_2 @ X2383 @ X2384))|(((X2387)!=(esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|((X2383 @ (esk39_2 @ X2383 @ X2384))|(X2384 @ (esk40_2 @ X2383 @ X2384))))&(~(X2384 @ X2390)|((esk42_2 @ X2383 @ X2384)=(X2390))|(((X2387)!=(esk41_3 @ X2383 @ X2384 @ X2387))|~(X2383 @ X2387))|((X2383 @ (esk39_2 @ X2383 @ X2384))|(X2384 @ (esk40_2 @ X2383 @ X2384))))))&((((X2383 @ (esk44_2 @ X2383 @ X2384))|((X2384 @ (esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|((X2383 @ (esk39_2 @ X2383 @ X2384))|(X2384 @ (esk40_2 @ X2383 @ X2384))))&(~(X2383 @ X2394)|((esk44_2 @ X2383 @ X2384)=(X2394))|((X2384 @ (esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|((X2383 @ (esk39_2 @ X2383 @ X2384))|(X2384 @ (esk40_2 @ X2383 @ X2384)))))&(((X2383 @ (esk44_2 @ X2383 @ X2384))|(((X2391)!=(esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|((X2383 @ (esk39_2 @ X2383 @ X2384))|(X2384 @ (esk40_2 @ X2383 @ X2384))))&(~(X2383 @ X2394)|((esk44_2 @ X2383 @ X2384)=(X2394))|(((X2391)!=(esk43_3 @ X2383 @ X2384 @ X2391))|~(X2384 @ X2391))|((X2383 @ (esk39_2 @ X2383 @ X2384))|(X2384 @ (esk40_2 @ X2383 @ X2384)))))))))&(((emptyset)=(emptyset))&((((X2395)!=(X2396))|(((X2397)!=(X2398))|((setadjoin @ X2395 @ X2397)=(setadjoin @ X2396 @ X2398))))&((((X2399)!=(X2400))|((powerset @ X2399)=(powerset @ X2400)))&((((X2401)!=(X2402))|((setunion @ X2401)=(setunion @ X2402)))&(((omega)=(omega))&((((X2403 @ (esk45_2 @ X2403 @ X2404))|~(X2403 @ X2404)|(~(X2403 @ X2406)|(~(X2403 @ X2407)|((X2406)=(X2407)))))&(((X2404)!=(esk45_2 @ X2403 @ X2404))|~(X2403 @ X2404)|(~(X2403 @ X2406)|(~(X2403 @ X2407)|((X2406)=(X2407))))))&((((((X2409 @ (esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|((X2408 @ (esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|((esk46_2 @ X2408 @ X2409)=(esk47_2 @ X2408 @ X2409)))&(((X2414)!=(esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|((X2408 @ (esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|((esk46_2 @ X2408 @ X2409)=(esk47_2 @ X2408 @ X2409))))&(((X2409 @ (esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|(((X2412)!=(esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|((esk46_2 @ X2408 @ X2409)=(esk47_2 @ X2408 @ X2409)))&(((X2414)!=(esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|(((X2412)!=(esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|((esk46_2 @ X2408 @ X2409)=(esk47_2 @ X2408 @ X2409)))))&(((((X2409 @ (esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|((X2408 @ (esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|(~(X2408 @ (esk46_2 @ X2408 @ X2409))|~(X2409 @ (esk47_2 @ X2408 @ X2409))))&(((X2414)!=(esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|((X2408 @ (esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|(~(X2408 @ (esk46_2 @ X2408 @ X2409))|~(X2409 @ (esk47_2 @ X2408 @ X2409)))))&(((X2409 @ (esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|(((X2412)!=(esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|(~(X2408 @ (esk46_2 @ X2408 @ X2409))|~(X2409 @ (esk47_2 @ X2408 @ X2409))))&(((X2414)!=(esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|(((X2412)!=(esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|(~(X2408 @ (esk46_2 @ X2408 @ X2409))|~(X2409 @ (esk47_2 @ X2408 @ X2409))))))&((((X2409 @ (esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|((X2408 @ (esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|((X2408 @ (esk46_2 @ X2408 @ X2409))|(X2409 @ (esk47_2 @ X2408 @ X2409))))&(((X2414)!=(esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|((X2408 @ (esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|((X2408 @ (esk46_2 @ X2408 @ X2409))|(X2409 @ (esk47_2 @ X2408 @ X2409)))))&(((X2409 @ (esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|(((X2412)!=(esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|((X2408 @ (esk46_2 @ X2408 @ X2409))|(X2409 @ (esk47_2 @ X2408 @ X2409))))&(((X2414)!=(esk49_3 @ X2408 @ X2409 @ X2414))|~(X2409 @ X2414)|((descr @ (^[Z0/* 3 */:$i]:((X2408 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X2409 @ Z0)))))|(((X2412)!=(esk48_3 @ X2408 @ X2409 @ X2412))|~(X2408 @ X2412))|((X2408 @ (esk46_2 @ X2408 @ X2409))|(X2409 @ (esk47_2 @ X2408 @ X2409))))))))&((((in @ (esk50_4 @ X2416 @ X2417 @ X2418 @ X2419) @ X2416)|((dsetconstr @ X2416 @ (^[Z0/* 3 */:$i]:((X2418 @ Z0))))=(dsetconstr @ X2417 @ (^[Z0/* 3 */:$i]:((X2419 @ Z0)))))|((X2416)!=(X2417)))&(((in @ (esk51_4 @ X2416 @ X2417 @ X2418 @ X2419) @ X2417)|((dsetconstr @ X2416 @ (^[Z0/* 3 */:$i]:((X2418 @ Z0))))=(dsetconstr @ X2417 @ (^[Z0/* 3 */:$i]:((X2419 @ Z0)))))|((X2416)!=(X2417)))&((((esk50_4 @ X2416 @ X2417 @ X2418 @ X2419)=(esk51_4 @ X2416 @ X2417 @ X2418 @ X2419))|((dsetconstr @ X2416 @ (^[Z0/* 3 */:$i]:((X2418 @ Z0))))=(dsetconstr @ X2417 @ (^[Z0/* 3 */:$i]:((X2419 @ Z0)))))|((X2416)!=(X2417)))&((~(X2418 @ (esk50_4 @ X2416 @ X2417 @ X2418 @ X2419))|~(X2419 @ (esk51_4 @ X2416 @ X2417 @ X2418 @ X2419))|((dsetconstr @ X2416 @ (^[Z0/* 3 */:$i]:((X2418 @ Z0))))=(dsetconstr @ X2417 @ (^[Z0/* 3 */:$i]:((X2419 @ Z0)))))|((X2416)!=(X2417)))&((X2418 @ (esk50_4 @ X2416 @ X2417 @ X2418 @ X2419))|(X2419 @ (esk51_4 @ X2416 @ X2417 @ X2418 @ X2419))|((dsetconstr @ X2416 @ (^[Z0/* 3 */:$i]:((X2418 @ Z0))))=(dsetconstr @ X2417 @ (^[Z0/* 3 */:$i]:((X2419 @ Z0)))))|((X2416)!=(X2417)))))))&((((in @ (esk52_2 @ X2422 @ X2423) @ X2422)|(subset @ X2422 @ X2423))&(~(in @ (esk52_2 @ X2422 @ X2423) @ X2423)|(subset @ X2422 @ X2423)))&((((X2425)!=(X2426))|(subset @ X2426 @ X2425))&((((X2427)!=(X2428))|(subset @ X2427 @ X2428))&((((in @ (esk53_2 @ X2429 @ X2430) @ X2429)|(subset @ X2429 @ X2430))&(~(in @ (esk53_2 @ X2429 @ X2430) @ X2430)|(subset @ X2429 @ X2430)))&((subset @ emptyset @ X2432)&((~(subset @ X2433 @ X2434)|(~(in @ X2435 @ X2433)|(in @ X2435 @ X2434)))&((~(subset @ X2436 @ X2437)|((in @ X2438 @ X2437)|~(in @ X2438 @ X2436)))&((~(in @ X2441 @ X2439)|((in @ X2441 @ X2440)|~(subset @ X2439 @ X2440)))&(((subset @ X2442 @ X2443)|((X2442)!=(X2443)))&((~(in @ X2446 @ X2444)|((in @ X2446 @ X2445)|((X2444)!=(X2445))))&((subset @ X2447 @ X2447)&((~(subset @ X2448 @ X2449)|(~(subset @ X2449 @ X2450)|(subset @ X2448 @ X2450)))&((subset @ X2452 @ (setadjoin @ X2451 @ X2452))&((~(subset @ X2453 @ X2455)|(subset @ X2453 @ (setadjoin @ X2454 @ X2455)))&((~(subset @ X2456 @ X2457)|(in @ X2456 @ (powerset @ X2457)))&((~(subset @ X2458 @ X2459)|(~(subset @ X2459 @ X2458)|((X2458)=(X2459))))&((~(subset @ X2460 @ emptyset)|((X2460)=(emptyset)))&((~(subset @ X2462 @ X2461)|(in @ X2462 @ (powerset @ X2461)))&((~(in @ X2464 @ (powerset @ X2463))|(subset @ X2464 @ X2463))&((in @ X2465 @ (powerset @ X2465))&((~(subset @ X2466 @ X2467)|(subset @ (powerset @ X2466) @ (powerset @ X2467)))&((in @ (dsetconstr @ X2468 @ (^[Z0/* 3 */:$i]:((X2469 @ Z0)))) @ (powerset @ X2468))&((subset @ (dsetconstr @ X2470 @ (^[Z0/* 3 */:$i]:((X2471 @ Z0)))) @ X2470)&((~(in @ X2474 @ X2472)|(in @ X2474 @ (binunion @ X2472 @ X2473)))&((in @ X2476 @ (setadjoin @ X2475 @ (setadjoin @ X2476 @ emptyset)))&((~(in @ X2479 @ X2478)|(in @ X2479 @ (binunion @ X2477 @ X2478)))&(((((in @ X2482 @ X2481)|(X2483)|(in @ X2482 @ X2480)|~(in @ X2482 @ (binunion @ X2480 @ X2481)))&(~(X2483)|(X2483)|(in @ X2482 @ X2480)|~(in @ X2482 @ (binunion @ X2480 @ X2481))))&(((in @ X2482 @ X2481)|(X2483)|~(X2483)|~(in @ X2482 @ (binunion @ X2480 @ X2481)))&(~(X2483)|(X2483)|~(X2483)|~(in @ X2482 @ (binunion @ X2480 @ X2481)))))&((~(in @ X2486 @ (binunion @ X2484 @ X2485))|((in @ X2486 @ X2484)|(in @ X2486 @ X2485)))&((subset @ X2487 @ (binunion @ X2487 @ X2488))&((subset @ X2490 @ (binunion @ X2489 @ X2490))&((~(in @ X2493 @ X2491)|(~(in @ X2493 @ X2492)|(in @ X2493 @ (binintersect @ X2491 @ X2492))))&((~(subset @ X2496 @ X2494)|(~(subset @ X2496 @ X2495)|(subset @ X2496 @ (binintersect @ X2494 @ X2495))))&((~(in @ X2499 @ (binintersect @ X2497 @ X2498))|(in @ X2499 @ X2497))&((subset @ (binintersect @ X2500 @ X2501) @ X2500)&((~(subset @ X2502 @ X2503)|((binintersect @ X2502 @ X2503)=(X2502)))&((((binintersect @ X2504 @ X2505)!=(X2505))|(subset @ X2505 @ X2504))&((~(in @ X2508 @ (binintersect @ X2506 @ X2507))|(in @ X2508 @ X2507))&((((in @ (esk54_2 @ X2509 @ X2510) @ X2509)|((binintersect @ X2509 @ X2510)=(emptyset)))&((in @ (esk54_2 @ X2509 @ X2510) @ X2510)|((binintersect @ X2509 @ X2510)=(emptyset))))&((subset @ (binintersect @ X2512 @ X2513) @ X2513)&((~(subset @ X2515 @ X2514)|((binintersect @ X2514 @ X2515)=(X2515)))&((((binintersect @ X2516 @ X2517)!=(X2516))|(subset @ X2516 @ X2517))&(((binintersect @ X2518 @ (binunion @ X2519 @ X2520))=(binunion @ (binintersect @ X2518 @ X2519) @ (binintersect @ X2518 @ X2520)))&((~(in @ X2523 @ X2521)|((in @ X2523 @ X2522)|(in @ X2523 @ (setminus @ X2521 @ X2522))))&((~(in @ X2526 @ (setminus @ X2524 @ X2525))|(in @ X2526 @ X2524))&((~(in @ X2529 @ (setminus @ X2527 @ X2528))|~(in @ X2529 @ X2528))&((~(subset @ X2530 @ X2531)|((setminus @ X2530 @ X2531)=(emptyset)))&(((in @ X2534 @ (setminus @ X2532 @ X2533))|(~(in @ X2534 @ X2532)|(in @ X2534 @ X2533)))&(((in @ X2537 @ (setminus @ X2535 @ X2536))|((in @ X2537 @ X2536)|~(in @ X2537 @ X2535)))&(((in @ X2540 @ X2538)|~(in @ X2540 @ (setminus @ X2538 @ X2539)))&((~(in @ X2543 @ X2542)|~(in @ X2543 @ (setminus @ X2541 @ X2542)))&((subset @ (setminus @ X2544 @ X2545) @ X2544)&((((setminus @ X2546 @ X2547)!=(emptyset))|(subset @ X2546 @ X2547))&((((~(in @ X2550 @ X2548)|(X2551)|(in @ X2550 @ X2548)|~(in @ X2550 @ (symdiff @ X2548 @ X2549)))&(((in @ X2550 @ X2549)|(X2551)|(in @ X2550 @ X2548)|~(in @ X2550 @ (symdiff @ X2548 @ X2549)))&(~(X2551)|(X2551)|(in @ X2550 @ X2548)|~(in @ X2550 @ (symdiff @ X2548 @ X2549)))))&(((~(in @ X2550 @ X2548)|(X2551)|~(in @ X2550 @ X2549)|~(in @ X2550 @ (symdiff @ X2548 @ X2549)))&(((in @ X2550 @ X2549)|(X2551)|~(in @ X2550 @ X2549)|~(in @ X2550 @ (symdiff @ X2548 @ X2549)))&(~(X2551)|(X2551)|~(in @ X2550 @ X2549)|~(in @ X2550 @ (symdiff @ X2548 @ X2549)))))&((~(in @ X2550 @ X2548)|(X2551)|~(X2551)|~(in @ X2550 @ (symdiff @ X2548 @ X2549)))&(((in @ X2550 @ X2549)|(X2551)|~(X2551)|~(in @ X2550 @ (symdiff @ X2548 @ X2549)))&(~(X2551)|(X2551)|~(X2551)|~(in @ X2550 @ (symdiff @ X2548 @ X2549)))))))&((~(in @ X2554 @ X2552)|((in @ X2554 @ X2553)|(in @ X2554 @ (symdiff @ X2552 @ X2553))))&(((in @ X2557 @ X2555)|(~(in @ X2557 @ X2556)|(in @ X2557 @ (symdiff @ X2555 @ X2556))))&((~(in @ X2560 @ X2558)|(~(in @ X2560 @ X2559)|~(in @ X2560 @ (symdiff @ X2558 @ X2559))))&(((in @ X2563 @ X2561)|((in @ X2563 @ X2562)|~(in @ X2563 @ (symdiff @ X2561 @ X2562))))&((in @ X2565 @ (setadjoin @ X2564 @ (setadjoin @ X2565 @ emptyset)))&((in @ X2566 @ (setunion @ (setadjoin @ (setadjoin @ X2566 @ emptyset) @ (setadjoin @ (setadjoin @ X2566 @ (setadjoin @ X2567 @ emptyset)) @ emptyset))))&((in @ X2569 @ (setunion @ (setadjoin @ (setadjoin @ X2568 @ emptyset) @ (setadjoin @ (setadjoin @ X2568 @ (setadjoin @ X2569 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X2570 @ emptyset) @ (setadjoin @ (setadjoin @ X2570 @ (setadjoin @ X2571 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X2572 @ X2573))&((~(in @ X2575 @ X2574)|(subset @ (setadjoin @ X2575 @ emptyset) @ X2574))&((~(in @ X2577 @ X2576)|(in @ (setadjoin @ X2577 @ emptyset) @ (powerset @ X2576)))&((~(in @ X2580 @ X2578)|(in @ (setadjoin @ X2580 @ emptyset) @ (powerset @ (binunion @ X2578 @ X2579))))&((~(in @ X2583 @ (setadjoin @ X2581 @ (setadjoin @ X2582 @ emptyset)))|(((X2583)=(X2581))|((X2583)=(X2582))))&((~(in @ X2586 @ X2584)|(~(in @ X2587 @ X2585)|(subset @ (setadjoin @ X2586 @ (setadjoin @ X2587 @ emptyset)) @ (binunion @ X2584 @ X2585))))&((~(in @ X2590 @ X2588)|(~(in @ X2591 @ X2589)|(in @ (setadjoin @ X2590 @ (setadjoin @ X2591 @ emptyset)) @ (powerset @ (binunion @ X2588 @ X2589)))))&((~(in @ X2594 @ X2592)|(~(in @ X2595 @ X2593)|(subset @ (setadjoin @ (setadjoin @ X2594 @ emptyset) @ (setadjoin @ (setadjoin @ X2594 @ (setadjoin @ X2595 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X2592 @ X2593)))))&((~(in @ X2598 @ X2596)|(~(in @ X2599 @ X2597)|(in @ (setadjoin @ (setadjoin @ X2598 @ emptyset) @ (setadjoin @ (setadjoin @ X2598 @ (setadjoin @ X2599 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X2596 @ X2597))))))&((~(in @ X2602 @ X2600)|(~(in @ X2603 @ X2601)|(in @ (kpair @ X2602 @ X2603) @ (powerset @ (powerset @ (binunion @ X2600 @ X2601))))))&((~(in @ X2606 @ X2604)|(~(in @ X2607 @ X2605)|(in @ (kpair @ X2606 @ X2607) @ (cartprod @ X2604 @ X2605))))&((((in @ (esk55_3 @ X2608 @ X2609 @ X2610) @ X2608)|~(in @ X2610 @ (cartprod @ X2608 @ X2609)))&(((in @ (esk56_3 @ X2608 @ X2609 @ X2610) @ X2609)|~(in @ X2610 @ (cartprod @ X2608 @ X2609)))&(((X2610)=(kpair @ (esk55_3 @ X2608 @ X2609 @ X2610) @ (esk56_3 @ X2608 @ X2609 @ X2610)))|~(in @ X2610 @ (cartprod @ X2608 @ X2609)))))&((~(in @ X2615 @ (cartprod @ X2613 @ X2614))|(iskpair @ X2615))&((((in @ (esk57_2 @ X2616 @ X2617) @ X2616)|~(in @ X2617 @ (setunion @ X2616)))&((in @ X2617 @ (esk57_2 @ X2616 @ X2617))|~(in @ X2617 @ (setunion @ X2616))))&((subset @ (setunion @ (setadjoin @ X2619 @ emptyset)) @ X2619)&((subset @ X2620 @ (setunion @ (setadjoin @ X2620 @ emptyset)))&(((setunion @ (setadjoin @ X2621 @ emptyset))=(X2621))&((((in @ (esk58_2 @ X2622 @ X2623) @ X2622)|(~(in @ X2626 @ X2622)|~(X2623 @ X2626)|(singleton @ (dsetconstr @ X2622 @ (^[Z0/* 3 */:$i]:((X2623 @ Z0)))))))&(((in @ (esk59_2 @ X2622 @ X2623) @ X2622)|(~(in @ X2626 @ X2622)|~(X2623 @ X2626)|(singleton @ (dsetconstr @ X2622 @ (^[Z0/* 3 */:$i]:((X2623 @ Z0)))))))&(((X2623 @ (esk58_2 @ X2622 @ X2623))|(~(in @ X2626 @ X2622)|~(X2623 @ X2626)|(singleton @ (dsetconstr @ X2622 @ (^[Z0/* 3 */:$i]:((X2623 @ Z0)))))))&(((X2623 @ (esk59_2 @ X2622 @ X2623))|(~(in @ X2626 @ X2622)|~(X2623 @ X2626)|(singleton @ (dsetconstr @ X2622 @ (^[Z0/* 3 */:$i]:((X2623 @ Z0)))))))&(((esk58_2 @ X2622 @ X2623)!=(esk59_2 @ X2622 @ X2623))|(~(in @ X2626 @ X2622)|~(X2623 @ X2626)|(singleton @ (dsetconstr @ X2622 @ (^[Z0/* 3 */:$i]:((X2623 @ Z0)))))))))))&((((in @ (esk60_2 @ X2627 @ X2628) @ X2627)|~(ex1 @ X2627 @ (^[Z0/* 3 */:$i]:((X2628 @ Z0)))))&((X2628 @ (esk60_2 @ X2627 @ X2628))|~(ex1 @ X2627 @ (^[Z0/* 3 */:$i]:((X2628 @ Z0))))))&((((in @ (esk61_3 @ X2630 @ X2631 @ X2632) @ X2630)|(ex1 @ X2630 @ (^[Z0/* 3 */:$i]:((X2631 @ Z0))))|~(X2631 @ X2632)|~(in @ X2632 @ X2630))&(((X2631 @ (esk61_3 @ X2630 @ X2631 @ X2632))|(ex1 @ X2630 @ (^[Z0/* 3 */:$i]:((X2631 @ Z0))))|~(X2631 @ X2632)|~(in @ X2632 @ X2630))&(((esk61_3 @ X2630 @ X2631 @ X2632)!=(X2632))|(ex1 @ X2630 @ (^[Z0/* 3 */:$i]:((X2631 @ Z0))))|~(X2631 @ X2632)|~(in @ X2632 @ X2630))))&((((in @ (esk62_2 @ X2634 @ X2635) @ X2634)|(~(in @ X2638 @ X2634)|~(X2635 @ X2638)|(ex1 @ X2634 @ (^[Z0/* 3 */:$i]:((X2635 @ Z0))))))&(((in @ (esk63_2 @ X2634 @ X2635) @ X2634)|(~(in @ X2638 @ X2634)|~(X2635 @ X2638)|(ex1 @ X2634 @ (^[Z0/* 3 */:$i]:((X2635 @ Z0))))))&(((X2635 @ (esk62_2 @ X2634 @ X2635))|(~(in @ X2638 @ X2634)|~(X2635 @ X2638)|(ex1 @ X2634 @ (^[Z0/* 3 */:$i]:((X2635 @ Z0))))))&(((X2635 @ (esk63_2 @ X2634 @ X2635))|(~(in @ X2638 @ X2634)|~(X2635 @ X2638)|(ex1 @ X2634 @ (^[Z0/* 3 */:$i]:((X2635 @ Z0))))))&(((esk62_2 @ X2634 @ X2635)!=(esk63_2 @ X2634 @ X2635))|(~(in @ X2638 @ X2634)|~(X2635 @ X2638)|(ex1 @ X2634 @ (^[Z0/* 3 */:$i]:((X2635 @ Z0))))))))))&((((setadjoin @ X2639 @ emptyset)!=(setadjoin @ X2640 @ emptyset))|((X2639)=(X2640)))&((~(in @ (setadjoin @ X2643 @ emptyset) @ (setadjoin @ (setadjoin @ X2641 @ emptyset) @ (setadjoin @ (setadjoin @ X2641 @ (setadjoin @ X2642 @ emptyset)) @ emptyset)))|((X2641)=(X2643)))&((~(iskpair @ X2644)|(singleton @ (dsetconstr @ (setunion @ X2644) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X2644))))))&((~(singleton @ X2645)|(in @ (setunion @ X2645) @ X2645))&(((kfst @ (kpair @ X2646 @ X2647))=(X2646))&((~(in @ X2650 @ (cartprod @ X2648 @ X2649))|(in @ (kfst @ X2650) @ X2648))&((((setadjoin @ (setadjoin @ X2651 @ emptyset) @ (setadjoin @ (setadjoin @ X2651 @ (setadjoin @ X2652 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2653 @ emptyset) @ (setadjoin @ (setadjoin @ X2653 @ (setadjoin @ X2654 @ emptyset)) @ emptyset)))|((X2651)=(X2653)))&((((kpair @ X2655 @ X2656)!=(kpair @ X2657 @ X2658))|((X2655)=(X2657)))&((((X2659)!=(X2660))|((setadjoin @ X2659 @ (setadjoin @ X2660 @ emptyset))=(setadjoin @ X2659 @ emptyset)))&((((X2661)!=(X2662))|((setadjoin @ (setadjoin @ X2661 @ emptyset) @ (setadjoin @ (setadjoin @ X2661 @ (setadjoin @ X2662 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2661 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X2663 @ emptyset) @ (setadjoin @ (setadjoin @ X2663 @ (setadjoin @ X2664 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2665 @ emptyset) @ (setadjoin @ (setadjoin @ X2665 @ (setadjoin @ X2666 @ emptyset)) @ emptyset)))|(((X2665)!=(X2666))|((X2664)=(X2666))))&((((setadjoin @ X2667 @ (setadjoin @ X2668 @ emptyset))!=(setadjoin @ X2669 @ emptyset))|((X2667)=(X2668)))&((((setadjoin @ (setadjoin @ X2670 @ emptyset) @ (setadjoin @ (setadjoin @ X2670 @ (setadjoin @ X2671 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2672 @ emptyset) @ (setadjoin @ (setadjoin @ X2672 @ (setadjoin @ X2673 @ emptyset)) @ emptyset)))|((X2671)=(X2673)))&((((kpair @ X2674 @ X2675)!=(kpair @ X2676 @ X2677))|((X2675)=(X2677)))&((~(iskpair @ X2678)|(singleton @ (dsetconstr @ (setunion @ X2678) @ (^[Z0/* 3 */:$i]:(((X2678)=(kpair @ (kfst @ X2678) @ Z0)))))))&(((ksnd @ (kpair @ X2679 @ X2680))=(X2680))&((~(iskpair @ X2681)|((kpair @ (kfst @ X2681) @ (ksnd @ X2681))=(X2681)))&((~(in @ X2684 @ (cartprod @ X2682 @ X2683))|(in @ (ksnd @ X2684) @ X2683))&((~(in @ (kpair @ X2687 @ X2688) @ (cartprod @ X2685 @ X2686))|(in @ X2687 @ X2685))&((~(in @ (kpair @ X2691 @ X2692) @ (cartprod @ X2689 @ X2690))|(in @ X2692 @ X2690))&((~(in @ X2695 @ X2693)|(~(in @ X2696 @ X2694)|((kpair @ X2695 @ X2696)=(kpair @ X2695 @ X2696))))&((~(in @ X2699 @ X2697)|(~(in @ X2700 @ X2698)|((kfst @ (kpair @ X2699 @ X2700))=(X2699))))&((~(in @ X2703 @ X2701)|(~(in @ X2704 @ X2702)|((ksnd @ (kpair @ X2703 @ X2704))=(X2704))))&((~(in @ X2707 @ (cartprod @ X2705 @ X2706))|((kpair @ (kfst @ X2707) @ (ksnd @ X2707))=(X2707)))&((~(in @ X2711 @ X2708)|(~(in @ X2712 @ X2709)|(~(X2710 @ X2711 @ X2712)|(in @ (kpair @ X2711 @ X2712) @ (dpsetconstr @ X2708 @ X2709 @ (^[Z0/* 19 */:$i, Z1:$i]:((X2710 @ Z0 @ Z1))))))))&((subset @ (dpsetconstr @ X2713 @ X2714 @ (^[Z0/* 19 */:$i, Z1:$i]:((X2715 @ Z0 @ Z1)))) @ (cartprod @ X2713 @ X2714))&((breln @ X2716 @ X2717 @ (dpsetconstr @ X2716 @ X2717 @ (^[Z0/* 19 */:$i, Z1:$i]:((X2718 @ Z0 @ Z1)))))&((~(in @ X2722 @ X2719)|(~(in @ X2723 @ X2720)|(~(in @ (kpair @ X2722 @ X2723) @ (dpsetconstr @ X2719 @ X2720 @ (^[Z0/* 19 */:$i, Z1:$i]:((X2721 @ Z0 @ Z1)))))|(X2721 @ X2722 @ X2723))))&((~(in @ (kpair @ X2727 @ X2728) @ (dpsetconstr @ X2724 @ X2725 @ (^[Z0/* 19 */:$i, Z1:$i]:((X2726 @ Z0 @ Z1)))))|(in @ X2727 @ X2724))&((~(in @ (kpair @ X2732 @ X2733) @ (dpsetconstr @ X2729 @ X2730 @ (^[Z0/* 19 */:$i, Z1:$i]:((X2731 @ Z0 @ Z1)))))|(in @ X2733 @ X2730))&((~(in @ (kpair @ X2737 @ X2738) @ (dpsetconstr @ X2734 @ X2735 @ (^[Z0/* 19 */:$i, Z1:$i]:((X2736 @ Z0 @ Z1)))))|(X2736 @ X2737 @ X2738))&((~(func @ X2739 @ X2740 @ X2741)|(~(in @ X2742 @ X2739)|(singleton @ (dsetconstr @ X2740 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2742 @ Z0) @ X2741)))))))&((~(func @ X2743 @ X2744 @ X2745)|(~(in @ X2746 @ X2743)|(in @ (setunion @ (dsetconstr @ X2744 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2746 @ Z0) @ X2745))))) @ X2744)))&((~(func @ X2747 @ X2748 @ X2749)|(~(in @ X2750 @ X2747)|(in @ (ap @ X2747 @ X2748 @ X2749 @ X2750) @ X2748)))&((~(in @ X2753 @ (funcSet @ X2751 @ X2752))|(func @ X2751 @ X2752 @ X2753))&((~(in @ X2756 @ (funcSet @ X2754 @ X2755))|(~(in @ X2757 @ X2754)|(in @ (ap @ X2754 @ X2755 @ X2756 @ X2757) @ X2755)))&((~(func @ X2758 @ X2759 @ X2760)|(in @ X2760 @ (funcSet @ X2758 @ X2759)))&((((in @ (esk64_3 @ X2761 @ X2762 @ X2763) @ X2761)|(func @ X2761 @ X2762 @ (dpsetconstr @ X2761 @ X2762 @ (^[Z0/* 3 */:$i]:($eq @ (X2763 @ Z0))))))&(~(in @ (X2763 @ (esk64_3 @ X2761 @ X2762 @ X2763)) @ X2762)|(func @ X2761 @ X2762 @ (dpsetconstr @ X2761 @ X2762 @ (^[Z0/* 3 */:$i]:($eq @ (X2763 @ Z0)))))))&((((in @ (esk65_3 @ X2765 @ X2766 @ X2767) @ X2765)|(func @ X2765 @ X2766 @ (lam @ X2765 @ X2766 @ X2767)))&(~(in @ (X2767 @ (esk65_3 @ X2765 @ X2766 @ X2767)) @ X2766)|(func @ X2765 @ X2766 @ (lam @ X2765 @ X2766 @ X2767))))&((((in @ (esk66_3 @ X2769 @ X2770 @ X2771) @ X2769)|(in @ (lam @ X2769 @ X2770 @ X2771) @ (funcSet @ X2769 @ X2770)))&(~(in @ (X2771 @ (esk66_3 @ X2769 @ X2770 @ X2771)) @ X2770)|(in @ (lam @ X2769 @ X2770 @ X2771) @ (funcSet @ X2769 @ X2770))))&((((in @ (esk67_4 @ X2773 @ X2774 @ X2775 @ X2776) @ X2773)|(~(in @ X2779 @ X2775)|(X2776 @ X2779))|~(breln @ X2773 @ X2774 @ X2775))&(((in @ (esk68_4 @ X2773 @ X2774 @ X2775 @ X2776) @ X2774)|(~(in @ X2779 @ X2775)|(X2776 @ X2779))|~(breln @ X2773 @ X2774 @ X2775))&(((in @ (kpair @ (esk67_4 @ X2773 @ X2774 @ X2775 @ X2776) @ (esk68_4 @ X2773 @ X2774 @ X2775 @ X2776)) @ X2775)|(~(in @ X2779 @ X2775)|(X2776 @ X2779))|~(breln @ X2773 @ X2774 @ X2775))&(~(X2776 @ (kpair @ (esk67_4 @ X2773 @ X2774 @ X2775 @ X2776) @ (esk68_4 @ X2773 @ X2774 @ X2775 @ X2776)))|(~(in @ X2779 @ X2775)|(X2776 @ X2779))|~(breln @ X2773 @ X2774 @ X2775)))))&((((in @ (esk69_4 @ X2780 @ X2781 @ X2782 @ X2783) @ X2780)|(~(in @ X2786 @ X2782)|(X2783 @ X2786))|~(breln @ X2780 @ X2781 @ X2782))&(((in @ (esk70_4 @ X2780 @ X2781 @ X2782 @ X2783) @ X2781)|(~(in @ X2786 @ X2782)|(X2783 @ X2786))|~(breln @ X2780 @ X2781 @ X2782))&(((in @ (kpair @ (esk69_4 @ X2780 @ X2781 @ X2782 @ X2783) @ (esk70_4 @ X2780 @ X2781 @ X2782 @ X2783)) @ X2782)|(~(in @ X2786 @ X2782)|(X2783 @ X2786))|~(breln @ X2780 @ X2781 @ X2782))&(~(X2783 @ (kpair @ (esk69_4 @ X2780 @ X2781 @ X2782 @ X2783) @ (esk70_4 @ X2780 @ X2781 @ X2782 @ X2783)))|(~(in @ X2786 @ X2782)|(X2783 @ X2786))|~(breln @ X2780 @ X2781 @ X2782)))))&((~(ex1 @ X2787 @ (^[Z0/* 3 */:$i]:((X2788 @ Z0))))|(~(in @ X2789 @ X2787)|(~(in @ X2790 @ X2787)|(~(X2788 @ X2789)|(~(X2788 @ X2790)|((X2789)=(X2790)))))))&((~(func @ X2791 @ X2792 @ X2793)|(~(in @ X2794 @ X2791)|(in @ (kpair @ X2794 @ (ap @ X2791 @ X2792 @ X2793 @ X2794)) @ X2793)))&((~(in @ X2797 @ (funcSet @ X2795 @ X2796))|(~(in @ X2798 @ X2795)|(in @ (kpair @ X2798 @ (ap @ X2795 @ X2796 @ X2797 @ X2798)) @ X2797)))&((~(func @ X2799 @ X2800 @ X2801)|(~(in @ X2802 @ X2799)|(~(in @ X2803 @ X2800)|(~(in @ (kpair @ X2802 @ X2803) @ X2801)|((ap @ X2799 @ X2800 @ X2801 @ X2802)=(X2803))))))&((((in @ (esk71_4 @ X2804 @ X2805 @ X2806 @ X2807) @ X2804)|(~(in @ X2809 @ X2804)|(~(in @ X2810 @ X2805)|(~(in @ (kpair @ X2809 @ X2810) @ X2807)|(in @ (kpair @ X2809 @ X2810) @ X2806))))|~(func @ X2804 @ X2805 @ X2807)|~(func @ X2804 @ X2805 @ X2806))&(((ap @ X2804 @ X2805 @ X2806 @ (esk71_4 @ X2804 @ X2805 @ X2806 @ X2807))!=(ap @ X2804 @ X2805 @ X2807 @ (esk71_4 @ X2804 @ X2805 @ X2806 @ X2807)))|(~(in @ X2809 @ X2804)|(~(in @ X2810 @ X2805)|(~(in @ (kpair @ X2809 @ X2810) @ X2807)|(in @ (kpair @ X2809 @ X2810) @ X2806))))|~(func @ X2804 @ X2805 @ X2807)|~(func @ X2804 @ X2805 @ X2806)))&((~(in @ X2813 @ (funcSet @ X2811 @ X2812))|(~(in @ X2814 @ X2811)|(~(in @ X2815 @ X2812)|(~(in @ (kpair @ X2814 @ X2815) @ X2813)|((ap @ X2811 @ X2812 @ X2813 @ X2814)=(X2815))))))&((((in @ (esk72_4 @ X2816 @ X2817 @ X2818 @ X2819) @ X2816)|(subset @ X2818 @ X2819)|~(breln @ X2816 @ X2817 @ X2819)|~(breln @ X2816 @ X2817 @ X2818))&(((in @ (esk73_4 @ X2816 @ X2817 @ X2818 @ X2819) @ X2817)|(subset @ X2818 @ X2819)|~(breln @ X2816 @ X2817 @ X2819)|~(breln @ X2816 @ X2817 @ X2818))&(((in @ (kpair @ (esk72_4 @ X2816 @ X2817 @ X2818 @ X2819) @ (esk73_4 @ X2816 @ X2817 @ X2818 @ X2819)) @ X2818)|(subset @ X2818 @ X2819)|~(breln @ X2816 @ X2817 @ X2819)|~(breln @ X2816 @ X2817 @ X2818))&(~(in @ (kpair @ (esk72_4 @ X2816 @ X2817 @ X2818 @ X2819) @ (esk73_4 @ X2816 @ X2817 @ X2818 @ X2819)) @ X2819)|(subset @ X2818 @ X2819)|~(breln @ X2816 @ X2817 @ X2819)|~(breln @ X2816 @ X2817 @ X2818)))))&(((((in @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2822)|((X2824)=(X2825))|(in @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2822)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(((in @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2823)|((X2824)=(X2825))|(in @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2822)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(((in @ (kpair @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2825)|((X2824)=(X2825))|(in @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2822)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(~(in @ (kpair @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2824)|((X2824)=(X2825))|(in @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2822)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824)))))&((((in @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2822)|((X2824)=(X2825))|(in @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2823)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(((in @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2823)|((X2824)=(X2825))|(in @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2823)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(((in @ (kpair @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2825)|((X2824)=(X2825))|(in @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2823)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(~(in @ (kpair @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2824)|((X2824)=(X2825))|(in @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2823)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824)))))&((((in @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2822)|((X2824)=(X2825))|(in @ (kpair @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2824)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(((in @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2823)|((X2824)=(X2825))|(in @ (kpair @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2824)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(((in @ (kpair @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2825)|((X2824)=(X2825))|(in @ (kpair @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2824)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(~(in @ (kpair @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2824)|((X2824)=(X2825))|(in @ (kpair @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2824)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824)))))&(((in @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2822)|((X2824)=(X2825))|~(in @ (kpair @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2825)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(((in @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825) @ X2823)|((X2824)=(X2825))|~(in @ (kpair @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2825)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(((in @ (kpair @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2825)|((X2824)=(X2825))|~(in @ (kpair @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2825)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))&(~(in @ (kpair @ (esk76_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk77_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2824)|((X2824)=(X2825))|~(in @ (kpair @ (esk74_4 @ X2822 @ X2823 @ X2824 @ X2825) @ (esk75_4 @ X2822 @ X2823 @ X2824 @ X2825)) @ X2825)|~(breln @ X2822 @ X2823 @ X2825)|~(breln @ X2822 @ X2823 @ X2824))))))))&((((in @ (esk78_4 @ X2830 @ X2831 @ X2832 @ X2833) @ X2830)|((X2832)=(X2833))|~(func @ X2830 @ X2831 @ X2833)|~(func @ X2830 @ X2831 @ X2832))&(((ap @ X2830 @ X2831 @ X2832 @ (esk78_4 @ X2830 @ X2831 @ X2832 @ X2833))!=(ap @ X2830 @ X2831 @ X2833 @ (esk78_4 @ X2830 @ X2831 @ X2832 @ X2833)))|((X2832)=(X2833))|~(func @ X2830 @ X2831 @ X2833)|~(func @ X2830 @ X2831 @ X2832)))&((((in @ (esk79_4 @ X2835 @ X2836 @ X2837 @ X2838) @ X2835)|((X2837)=(X2838))|~(in @ X2838 @ (funcSet @ X2835 @ X2836))|~(in @ X2837 @ (funcSet @ X2835 @ X2836)))&(((ap @ X2835 @ X2836 @ X2837 @ (esk79_4 @ X2835 @ X2836 @ X2837 @ X2838))!=(ap @ X2835 @ X2836 @ X2838 @ (esk79_4 @ X2835 @ X2836 @ X2837 @ X2838)))|((X2837)=(X2838))|~(in @ X2838 @ (funcSet @ X2835 @ X2836))|~(in @ X2837 @ (funcSet @ X2835 @ X2836))))&((~(in @ X2842 @ (funcSet @ X2840 @ X2841))|(~(in @ X2843 @ X2840)|((ap @ X2840 @ X2841 @ X2842 @ X2843)=(ap @ X2840 @ X2841 @ X2842 @ X2843))))&((~(func @ X2844 @ X2845 @ X2846)|(~(in @ X2847 @ X2844)|((ap @ X2844 @ X2845 @ X2846 @ X2847)=(ap @ X2844 @ X2845 @ X2846 @ X2847))))&((((in @ (esk80_3 @ X2848 @ X2849 @ X2850) @ X2848)|(~(in @ X2852 @ X2848)|((ap @ X2848 @ X2849 @ (lam @ X2848 @ X2849 @ X2850) @ X2852)=(X2850 @ X2852))))&(~(in @ (X2850 @ (esk80_3 @ X2848 @ X2849 @ X2850)) @ X2849)|(~(in @ X2852 @ X2848)|((ap @ X2848 @ X2849 @ (lam @ X2848 @ X2849 @ X2850) @ X2852)=(X2850 @ X2852)))))&((~(func @ X2853 @ X2854 @ X2855)|((lam @ X2853 @ X2854 @ (ap @ X2853 @ X2854 @ X2855))=(X2855)))&((((in @ (esk81_3 @ X2856 @ X2857 @ X2858) @ X2856)|((lam @ X2856 @ X2857 @ X2858)=(lam @ X2856 @ X2857 @ X2858)))&(~(in @ (X2858 @ (esk81_3 @ X2856 @ X2857 @ X2858)) @ X2857)|((lam @ X2856 @ X2857 @ X2858)=(lam @ X2856 @ X2857 @ X2858))))&((((in @ (esk82_3 @ X2860 @ X2861 @ X2862) @ X2860)|(~(in @ X2864 @ X2860)|((ap @ X2860 @ X2861 @ (lam @ X2860 @ X2861 @ X2862) @ X2864)=(X2862 @ X2864))))&(~(in @ (X2862 @ (esk82_3 @ X2860 @ X2861 @ X2862)) @ X2861)|(~(in @ X2864 @ X2860)|((ap @ X2860 @ X2861 @ (lam @ X2860 @ X2861 @ X2862) @ X2864)=(X2862 @ X2864)))))&((~(in @ X2867 @ (funcSet @ X2865 @ X2866))|((lam @ X2865 @ X2866 @ (ap @ X2865 @ X2866 @ X2867))=(X2867)))&((~(in @ X2870 @ X2868)|(~(in @ X2871 @ X2868)|((X2869)|(in @ X2871 @ (dsetconstr @ X2868 @ (^[Z0/* 9 */:$i]:((((X2869)&((Z0)=(X2870)))|(~((X2869))&((Z0)=(X2871)))))))))))&((~(in @ X2874 @ X2872)|(~(in @ X2875 @ X2872)|((X2873)|((dsetconstr @ X2872 @ (^[Z0/* 9 */:$i]:((((X2873)&((Z0)=(X2874)))|(~((X2873))&((Z0)=(X2875)))))))=(setadjoin @ X2875 @ emptyset)))))&((~(in @ X2878 @ X2876)|(~(in @ X2879 @ X2876)|(~(X2877)|(in @ X2878 @ (dsetconstr @ X2876 @ (^[Z0/* 9 */:$i]:((((X2877)&((Z0)=(X2878)))|(~((X2877))&((Z0)=(X2879)))))))))))&((~(in @ X2882 @ X2880)|(~(in @ X2883 @ X2880)|(~(X2881)|((dsetconstr @ X2880 @ (^[Z0/* 9 */:$i]:((((X2881)&((Z0)=(X2882)))|(~((X2881))&((Z0)=(X2883)))))))=(setadjoin @ X2882 @ emptyset)))))&((~(in @ X2886 @ X2884)|(~(in @ X2887 @ X2884)|(singleton @ (dsetconstr @ X2884 @ (^[Z0/* 9 */:$i]:((((X2885)&((Z0)=(X2886)))|(~((X2885))&((Z0)=(X2887))))))))))&((~(in @ X2890 @ X2888)|(~(in @ X2891 @ X2888)|(in @ (if @ X2888 @ ((X2889)) @ X2890 @ X2891) @ X2888)))&((~(singleton @ X2892)|(~(in @ X2893 @ X2892)|((setunion @ X2892)=(X2893))))&((~(in @ X2896 @ X2894)|(~(in @ X2897 @ X2894)|(~(X2895)|((if @ X2894 @ ((X2895)) @ X2896 @ X2897)=(X2896)))))&((~(in @ X2900 @ X2898)|(~(in @ X2901 @ X2898)|((X2899)|((if @ X2898 @ ((X2899)) @ X2900 @ X2901)=(X2901)))))&((~(in @ X2904 @ X2902)|(~(in @ X2905 @ X2902)|(in @ (if @ X2902 @ ((X2903)) @ X2904 @ X2905) @ (setadjoin @ X2904 @ (setadjoin @ X2905 @ emptyset)))))&((~(in @ X2907 @ (powerset @ X2906))|(~(in @ X2908 @ (powerset @ X2906))|(in @ (binintersect @ X2907 @ X2908) @ (powerset @ X2906))))&((~(in @ X2910 @ (powerset @ X2909))|(~(in @ X2911 @ (powerset @ X2909))|(in @ (binunion @ X2910 @ X2911) @ (powerset @ X2909))))&((~(in @ X2913 @ (powerset @ X2912))|(in @ (powerset @ X2913) @ (powerset @ (powerset @ X2912))))&((~(in @ X2915 @ (powerset @ X2914))|(~(in @ X2916 @ (powerset @ X2914))|(in @ (setminus @ X2915 @ X2916) @ (powerset @ X2914))))&((~(in @ X2918 @ (powerset @ X2917))|(in @ (setminus @ X2917 @ X2918) @ (powerset @ X2917)))&(((((in @ (esk84_3 @ X2919 @ X2920 @ X2921) @ X2919)|((X2920)=(X2921))|(in @ (esk83_3 @ X2919 @ X2920 @ X2921) @ X2919)|~(in @ X2921 @ (powerset @ X2919))|~(in @ X2920 @ (powerset @ X2919)))&(((in @ (esk84_3 @ X2919 @ X2920 @ X2921) @ X2921)|((X2920)=(X2921))|(in @ (esk83_3 @ X2919 @ X2920 @ X2921) @ X2919)|~(in @ X2921 @ (powerset @ X2919))|~(in @ X2920 @ (powerset @ X2919)))&(~(in @ (esk84_3 @ X2919 @ X2920 @ X2921) @ X2920)|((X2920)=(X2921))|(in @ (esk83_3 @ X2919 @ X2920 @ X2921) @ X2919)|~(in @ X2921 @ (powerset @ X2919))|~(in @ X2920 @ (powerset @ X2919)))))&((((in @ (esk84_3 @ X2919 @ X2920 @ X2921) @ X2919)|((X2920)=(X2921))|(in @ (esk83_3 @ X2919 @ X2920 @ X2921) @ X2920)|~(in @ X2921 @ (powerset @ X2919))|~(in @ X2920 @ (powerset @ X2919)))&(((in @ (esk84_3 @ X2919 @ X2920 @ X2921) @ X2921)|((X2920)=(X2921))|(in @ (esk83_3 @ X2919 @ X2920 @ X2921) @ X2920)|~(in @ X2921 @ (powerset @ X2919))|~(in @ X2920 @ (powerset @ X2919)))&(~(in @ (esk84_3 @ X2919 @ X2920 @ X2921) @ X2920)|((X2920)=(X2921))|(in @ (esk83_3 @ X2919 @ X2920 @ X2921) @ X2920)|~(in @ X2921 @ (powerset @ X2919))|~(in @ X2920 @ (powerset @ X2919)))))&(((in @ (esk84_3 @ X2919 @ X2920 @ X2921) @ X2919)|((X2920)=(X2921))|~(in @ (esk83_3 @ X2919 @ X2920 @ X2921) @ X2921)|~(in @ X2921 @ (powerset @ X2919))|~(in @ X2920 @ (powerset @ X2919)))&(((in @ (esk84_3 @ X2919 @ X2920 @ X2921) @ X2921)|((X2920)=(X2921))|~(in @ (esk83_3 @ X2919 @ X2920 @ X2921) @ X2921)|~(in @ X2921 @ (powerset @ X2919))|~(in @ X2920 @ (powerset @ X2919)))&(~(in @ (esk84_3 @ X2919 @ X2920 @ X2921) @ X2920)|((X2920)=(X2921))|~(in @ (esk83_3 @ X2919 @ X2920 @ X2921) @ X2921)|~(in @ X2921 @ (powerset @ X2919))|~(in @ X2920 @ (powerset @ X2919)))))))&((((in @ (esk85_3 @ X2924 @ X2925 @ X2926) @ X2924)|(subset @ X2925 @ X2926)|~(in @ X2926 @ (powerset @ X2924))|~(in @ X2925 @ (powerset @ X2924)))&(((in @ (esk85_3 @ X2924 @ X2925 @ X2926) @ X2925)|(subset @ X2925 @ X2926)|~(in @ X2926 @ (powerset @ X2924))|~(in @ X2925 @ (powerset @ X2924)))&(~(in @ (esk85_3 @ X2924 @ X2925 @ X2926) @ X2926)|(subset @ X2925 @ X2926)|~(in @ X2926 @ (powerset @ X2924))|~(in @ X2925 @ (powerset @ X2924)))))&((((in @ (esk86_3 @ X2928 @ X2929 @ X2930) @ X2928)|(in @ X2929 @ (powerset @ X2930))|~(in @ X2930 @ (powerset @ X2928))|~(in @ X2929 @ (powerset @ X2928)))&(((in @ (esk86_3 @ X2928 @ X2929 @ X2930) @ X2929)|(in @ X2929 @ (powerset @ X2930))|~(in @ X2930 @ (powerset @ X2928))|~(in @ X2929 @ (powerset @ X2928)))&(~(in @ (esk86_3 @ X2928 @ X2929 @ X2930) @ X2930)|(in @ X2929 @ (powerset @ X2930))|~(in @ X2930 @ (powerset @ X2928))|~(in @ X2929 @ (powerset @ X2928)))))&((~(in @ X2933 @ (powerset @ X2932))|(~(in @ X2934 @ (powerset @ X2932))|(~(in @ X2935 @ X2932)|(~(in @ X2933 @ (powerset @ X2934))|(~(in @ X2935 @ X2933)|(in @ X2935 @ X2934))))))&((~(in @ X2937 @ (powerset @ X2936))|(~(in @ X2938 @ X2936)|(~(in @ X2938 @ X2937)|~(in @ X2938 @ (setminus @ X2936 @ X2937)))))&((~(in @ X2940 @ (powerset @ X2939))|(~(in @ X2941 @ X2939)|((in @ X2941 @ (setminus @ X2939 @ X2940))|(in @ X2941 @ X2940))))&((~(in @ X2943 @ (powerset @ X2942))|(~(in @ X2944 @ (powerset @ X2942))|(~(in @ X2945 @ X2942)|((in @ X2945 @ X2943)|~(in @ X2945 @ (binintersect @ X2943 @ X2944))))))&((~(in @ X2947 @ (powerset @ X2946))|(~(in @ X2948 @ (powerset @ X2946))|(~(in @ X2949 @ X2946)|((in @ X2949 @ X2948)|~(in @ X2949 @ (binintersect @ X2947 @ X2948))))))&((~(in @ X2951 @ (powerset @ X2950))|(~(in @ X2952 @ (powerset @ X2950))|(~(in @ X2953 @ X2950)|(~(subset @ X2951 @ (setminus @ X2950 @ X2952))|(~(in @ X2953 @ X2952)|~(in @ X2953 @ X2951))))))&((~(in @ X2955 @ (powerset @ X2954))|(~(in @ X2956 @ (powerset @ X2954))|(~(in @ X2957 @ X2954)|(~(subset @ X2955 @ X2956)|((in @ X2957 @ X2956)|~(in @ X2957 @ X2955))))))&((~(in @ X2959 @ (powerset @ X2958))|(~(in @ X2960 @ (powerset @ X2958))|(~(subset @ X2959 @ X2960)|(subset @ (setminus @ X2958 @ X2960) @ (setminus @ X2958 @ X2959)))))&((~(in @ X2962 @ (powerset @ X2961))|(~(in @ X2963 @ (powerset @ X2961))|(~(subset @ (setminus @ X2961 @ X2963) @ (setminus @ X2961 @ X2962))|(subset @ X2962 @ X2963))))&((~(in @ X2965 @ (powerset @ X2964))|(~(in @ X2966 @ X2964)|(~(in @ X2966 @ X2965)|(in @ X2966 @ (setminus @ X2964 @ (setminus @ X2964 @ X2965))))))&((~(in @ X2968 @ (powerset @ X2967))|(~(in @ X2969 @ X2967)|(~(in @ X2969 @ (setminus @ X2967 @ (setminus @ X2967 @ X2968)))|(in @ X2969 @ X2968))))&((~(in @ X2971 @ (powerset @ X2970))|(subset @ X2971 @ (setminus @ X2970 @ (setminus @ X2970 @ X2971))))&((~(in @ X2973 @ (powerset @ X2972))|(subset @ (setminus @ X2972 @ (setminus @ X2972 @ X2973)) @ X2973))&((~(in @ X2975 @ (powerset @ X2974))|((X2975)=(setminus @ X2974 @ (setminus @ X2974 @ X2975))))&((~(in @ X2977 @ (powerset @ X2976))|(~(in @ X2978 @ (powerset @ X2976))|(~(in @ X2979 @ X2976)|(~(in @ X2979 @ (setminus @ X2976 @ X2977))|~(in @ X2979 @ (binintersect @ X2977 @ X2978))))))&((~(in @ X2981 @ (powerset @ X2980))|(~(in @ X2982 @ (powerset @ X2980))|(~(in @ X2983 @ X2980)|(~(in @ X2983 @ (setminus @ X2980 @ X2981))|(in @ X2983 @ (setminus @ X2980 @ (binintersect @ X2981 @ X2982)))))))&((~(in @ X2985 @ (powerset @ X2984))|(~(in @ X2986 @ (powerset @ X2984))|(subset @ (setminus @ X2984 @ X2985) @ (setminus @ X2984 @ (binintersect @ X2985 @ X2986)))))&((~(in @ X2988 @ (powerset @ X2987))|(~(in @ X2989 @ (powerset @ X2987))|(in @ (setminus @ X2987 @ X2988) @ (powerset @ (setminus @ X2987 @ (binintersect @ X2988 @ X2989))))))&((~(in @ X2991 @ (powerset @ X2990))|(~(in @ X2992 @ (powerset @ X2990))|(~(subset @ X2991 @ (setminus @ X2990 @ X2992))|(~(in @ X2993 @ X2990)|(~(in @ X2993 @ X2992)|(in @ X2993 @ (setminus @ X2990 @ X2991)))))))&((~(in @ X2995 @ (powerset @ X2994))|(~(in @ X2996 @ (powerset @ X2994))|(~(subset @ X2995 @ (setminus @ X2994 @ X2996))|(subset @ X2996 @ (setminus @ X2994 @ X2995)))))&((~(in @ X2998 @ (powerset @ X2997))|(~(in @ X2999 @ (powerset @ X2997))|(~(in @ X3000 @ X2997)|((in @ X3000 @ (binunion @ X2998 @ X2999))|~(in @ X3000 @ X2998)))))&((~(in @ X3002 @ (powerset @ X3001))|(~(in @ X3003 @ (powerset @ X3001))|(~(in @ X3004 @ X3001)|((in @ X3004 @ (binunion @ X3002 @ X3003))|~(in @ X3004 @ X3003)))))&((~(in @ X3006 @ (powerset @ X3005))|(~(in @ X3007 @ (powerset @ X3005))|(~(in @ X3008 @ (powerset @ X3005))|(~(in @ X3009 @ X3005)|(~(in @ X3009 @ (binintersect @ X3006 @ X3007))|(in @ X3009 @ (binunion @ X3006 @ X3008)))))))&((~(in @ X3011 @ (powerset @ X3010))|(~(in @ X3012 @ (powerset @ X3010))|(~(in @ X3013 @ (powerset @ X3010))|(~(in @ X3014 @ X3010)|(~(in @ X3014 @ (binintersect @ X3011 @ X3012))|(in @ X3014 @ (binunion @ X3012 @ X3013)))))))&((~(in @ X3016 @ (powerset @ X3015))|(~(in @ X3017 @ (powerset @ X3015))|(~(in @ X3018 @ (powerset @ X3015))|(~(in @ X3019 @ X3015)|(~(in @ X3019 @ (binintersect @ X3016 @ X3017))|(in @ X3019 @ (binintersect @ (binunion @ X3016 @ X3018) @ (binunion @ X3017 @ X3018))))))))&((~(in @ X3021 @ (powerset @ X3020))|(~(in @ X3022 @ (powerset @ X3020))|(~(in @ X3023 @ (powerset @ X3020))|(in @ (binintersect @ X3021 @ X3022) @ (powerset @ (binintersect @ (binunion @ X3021 @ X3023) @ (binunion @ X3022 @ X3023)))))))&((~(in @ X3025 @ (powerset @ X3024))|(~(in @ X3026 @ (powerset @ X3024))|(~(in @ X3027 @ X3024)|(~(in @ X3027 @ (setminus @ X3024 @ (binunion @ X3025 @ X3026)))|~(in @ X3027 @ X3025)))))&((~(in @ X3029 @ (powerset @ X3028))|(~(in @ X3030 @ (powerset @ X3028))|(~(in @ X3031 @ X3028)|(~(in @ X3031 @ (setminus @ X3028 @ (binunion @ X3029 @ X3030)))|(in @ X3031 @ (setminus @ X3028 @ X3029))))))&(((((in @ X3036 @ X3034)|(X3035)|(in @ X3036 @ X3033)|~(in @ X3036 @ (binunion @ X3033 @ X3034))|~(in @ X3036 @ X3032)|~(in @ X3034 @ (powerset @ X3032))|~(in @ X3033 @ (powerset @ X3032)))&(~(X3035)|(X3035)|(in @ X3036 @ X3033)|~(in @ X3036 @ (binunion @ X3033 @ X3034))|~(in @ X3036 @ X3032)|~(in @ X3034 @ (powerset @ X3032))|~(in @ X3033 @ (powerset @ X3032))))&(((in @ X3036 @ X3034)|(X3035)|~(X3035)|~(in @ X3036 @ (binunion @ X3033 @ X3034))|~(in @ X3036 @ X3032)|~(in @ X3034 @ (powerset @ X3032))|~(in @ X3033 @ (powerset @ X3032)))&(~(X3035)|(X3035)|~(X3035)|~(in @ X3036 @ (binunion @ X3033 @ X3034))|~(in @ X3036 @ X3032)|~(in @ X3034 @ (powerset @ X3032))|~(in @ X3033 @ (powerset @ X3032)))))&((~(in @ X3038 @ (powerset @ X3037))|(~(in @ X3039 @ (powerset @ X3037))|(~(in @ X3040 @ X3037)|((in @ X3040 @ X3038)|((in @ X3040 @ X3039)|~(in @ X3040 @ (binunion @ X3038 @ X3039)))))))&((~(in @ X3042 @ (powerset @ X3041))|(~(in @ X3043 @ (powerset @ X3041))|(~(in @ X3044 @ X3041)|(~(in @ X3044 @ (setminus @ X3041 @ (binunion @ X3042 @ X3043)))|(in @ X3044 @ (setminus @ X3041 @ X3042))))))&((~(in @ X3046 @ (powerset @ X3045))|(~(in @ X3047 @ (powerset @ X3045))|(in @ (setminus @ X3045 @ (binunion @ X3046 @ X3047)) @ (powerset @ (setminus @ X3045 @ X3046)))))&((~(in @ X3049 @ (powerset @ X3048))|(~(in @ X3050 @ (powerset @ X3048))|(~(in @ X3051 @ X3048)|(~(in @ X3051 @ (setminus @ X3048 @ (binunion @ X3049 @ X3050)))|(in @ X3051 @ (setminus @ X3048 @ X3050))))))&((~(in @ X3053 @ (powerset @ X3052))|(~(in @ X3054 @ (powerset @ X3052))|(~(in @ X3055 @ X3052)|(~(in @ X3055 @ (setminus @ X3052 @ (binintersect @ X3053 @ X3054)))|(in @ X3055 @ (binunion @ (setminus @ X3052 @ X3053) @ (setminus @ X3052 @ X3054)))))))&((~(in @ X3057 @ (powerset @ X3056))|(~(in @ X3058 @ (powerset @ X3056))|(~(in @ X3059 @ X3056)|(~(in @ X3059 @ (binunion @ (setminus @ X3056 @ X3057) @ (setminus @ X3056 @ X3058)))|(in @ X3059 @ (setminus @ X3056 @ (binintersect @ X3057 @ X3058)))))))&((~(in @ X3061 @ (powerset @ X3060))|(~(in @ X3062 @ (powerset @ X3060))|((setminus @ X3060 @ (binintersect @ X3061 @ X3062))=(binunion @ (setminus @ X3060 @ X3061) @ (setminus @ X3060 @ X3062)))))&((~(in @ X3064 @ (powerset @ X3063))|(~(in @ X3065 @ (powerset @ X3063))|(~(in @ X3066 @ X3063)|(~(in @ X3066 @ (setminus @ X3063 @ (binunion @ X3064 @ X3065)))|(in @ X3066 @ (binintersect @ (setminus @ X3063 @ X3064) @ (setminus @ X3063 @ X3065)))))))&((~(in @ X3068 @ (powerset @ X3067))|(~(in @ X3069 @ (powerset @ X3067))|(~(in @ X3070 @ X3067)|(~(in @ X3070 @ (setminus @ X3067 @ X3068))|(~(in @ X3070 @ (setminus @ X3067 @ X3069))|(in @ X3070 @ (setminus @ X3067 @ (binunion @ X3068 @ X3069))))))))&((~(in @ X3072 @ (powerset @ X3071))|(~(in @ X3073 @ (powerset @ X3071))|(~(in @ X3074 @ X3071)|(~(in @ X3074 @ (binintersect @ (setminus @ X3071 @ X3072) @ (setminus @ X3071 @ X3073)))|(in @ X3074 @ (setminus @ X3071 @ (binunion @ X3072 @ X3073)))))))&((~(in @ X3076 @ (powerset @ X3075))|(~(in @ X3077 @ (powerset @ X3075))|((setminus @ X3075 @ (binunion @ X3076 @ X3077))=(binintersect @ (setminus @ X3075 @ X3076) @ (setminus @ X3075 @ X3077)))))&((~(in @ X3079 @ (powerset @ X3078))|(~(in @ X3080 @ (powerset @ X3078))|(~(in @ X3081 @ (binintersect @ X3079 @ X3080))|(in @ X3081 @ X3078))))&((~(in @ X3083 @ (powerset @ X3082))|(~(in @ X3084 @ (powerset @ X3082))|(~(in @ X3085 @ (powerset @ X3082))|(~(subset @ X3083 @ X3085)|(subset @ (binintersect @ X3083 @ X3084) @ X3085)))))&((~(in @ X3087 @ (powerset @ X3086))|(~(in @ X3088 @ (powerset @ X3086))|(~(in @ X3089 @ (powerset @ X3086))|(~(subset @ X3088 @ X3089)|(subset @ (binintersect @ X3087 @ X3088) @ X3089)))))&((~(in @ X3091 @ (powerset @ X3090))|(~(in @ X3092 @ (powerset @ X3090))|(~(in @ X3093 @ (powerset @ X3090))|(~(subset @ X3091 @ X3092)|(~(subset @ X3091 @ X3093)|(subset @ X3091 @ (binintersect @ X3092 @ X3093)))))))&((~(in @ X3095 @ (powerset @ X3094))|(~(in @ X3096 @ (powerset @ X3094))|(~(in @ X3097 @ (powerset @ X3094))|(~(in @ X3098 @ (powerset @ X3094))|(~(subset @ X3095 @ X3097)|(~(subset @ X3096 @ X3098)|(subset @ (binintersect @ X3095 @ X3096) @ (binintersect @ X3097 @ X3098))))))))&((~(in @ X3100 @ (powerset @ X3099))|(~(in @ X3101 @ (powerset @ X3099))|(in @ (setminus @ X3099 @ X3100) @ (powerset @ (setminus @ X3099 @ (binintersect @ X3100 @ X3101))))))&((~(in @ X3103 @ (powerset @ X3102))|(~(in @ X3104 @ (powerset @ X3102))|(~(in @ X3105 @ (powerset @ X3102))|(~(in @ X3106 @ (powerset @ X3102))|((setminus @ X3102 @ (binintersect @ (binunion @ X3103 @ X3104) @ (binunion @ X3105 @ X3106)))=(binunion @ (binintersect @ (setminus @ X3102 @ X3103) @ (setminus @ X3102 @ X3104)) @ (binintersect @ (setminus @ X3102 @ X3105) @ (setminus @ X3102 @ X3106))))))))&((~(in @ X3108 @ (powerset @ X3107))|(~(in @ X3109 @ (powerset @ X3107))|(~(in @ X3110 @ (powerset @ X3107))|(in @ (binintersect @ X3108 @ X3109) @ (powerset @ (binintersect @ (binunion @ X3108 @ X3110) @ (binunion @ X3109 @ X3110)))))))&((~(in @ X3112 @ (powerset @ X3111))|(~(in @ X3113 @ (powerset @ X3111))|(~(subset @ X3112 @ (setminus @ X3111 @ X3113))|(subset @ X3113 @ (setminus @ X3111 @ X3112)))))&((~(in @ X3115 @ (powerset @ X3114))|(~(in @ X3116 @ (powerset @ X3114))|(in @ (setminus @ X3114 @ (binunion @ X3115 @ X3116)) @ (powerset @ (setminus @ X3114 @ X3115)))))&((((in @ (esk87_3 @ X3117 @ X3118 @ X3119) @ X3117)|(~(in @ X3122 @ X3118)|(X3119 @ X3122))|~(breln1 @ X3117 @ X3118))&(((in @ (esk88_3 @ X3117 @ X3118 @ X3119) @ X3117)|(~(in @ X3122 @ X3118)|(X3119 @ X3122))|~(breln1 @ X3117 @ X3118))&(((in @ (kpair @ (esk87_3 @ X3117 @ X3118 @ X3119) @ (esk88_3 @ X3117 @ X3118 @ X3119)) @ X3118)|(~(in @ X3122 @ X3118)|(X3119 @ X3122))|~(breln1 @ X3117 @ X3118))&(~(X3119 @ (kpair @ (esk87_3 @ X3117 @ X3118 @ X3119) @ (esk88_3 @ X3117 @ X3118 @ X3119)))|(~(in @ X3122 @ X3118)|(X3119 @ X3122))|~(breln1 @ X3117 @ X3118)))))&((~(in @ X3124 @ (breln1Set @ X3123))|(breln1 @ X3123 @ X3124))&((choice2fnsingleton)&((breln1 @ X3125 @ (dpsetconstr @ X3125 @ X3125 @ (^[Z0/* 19 */:$i, Z1:$i]:((X3126 @ Z0 @ Z1)))))&((((in @ (esk89_3 @ X3127 @ X3128 @ X3129) @ X3127)|(~(in @ X3132 @ X3128)|(X3129 @ X3132))|~(breln1 @ X3127 @ X3128))&(((in @ (esk90_3 @ X3127 @ X3128 @ X3129) @ X3127)|(~(in @ X3132 @ X3128)|(X3129 @ X3132))|~(breln1 @ X3127 @ X3128))&(((in @ (kpair @ (esk89_3 @ X3127 @ X3128 @ X3129) @ (esk90_3 @ X3127 @ X3128 @ X3129)) @ X3128)|(~(in @ X3132 @ X3128)|(X3129 @ X3132))|~(breln1 @ X3127 @ X3128))&(~(X3129 @ (kpair @ (esk89_3 @ X3127 @ X3128 @ X3129) @ (esk90_3 @ X3127 @ X3128 @ X3129)))|(~(in @ X3132 @ X3128)|(X3129 @ X3132))|~(breln1 @ X3127 @ X3128)))))&((((in @ (esk91_3 @ X3133 @ X3134 @ X3135) @ X3133)|(subset @ X3134 @ X3135)|~(breln1 @ X3133 @ X3135)|~(breln1 @ X3133 @ X3134))&(((in @ (esk92_3 @ X3133 @ X3134 @ X3135) @ X3133)|(subset @ X3134 @ X3135)|~(breln1 @ X3133 @ X3135)|~(breln1 @ X3133 @ X3134))&(((in @ (kpair @ (esk91_3 @ X3133 @ X3134 @ X3135) @ (esk92_3 @ X3133 @ X3134 @ X3135)) @ X3134)|(subset @ X3134 @ X3135)|~(breln1 @ X3133 @ X3135)|~(breln1 @ X3133 @ X3134))&(~(in @ (kpair @ (esk91_3 @ X3133 @ X3134 @ X3135) @ (esk92_3 @ X3133 @ X3134 @ X3135)) @ X3135)|(subset @ X3134 @ X3135)|~(breln1 @ X3133 @ X3135)|~(breln1 @ X3133 @ X3134)))))&(((((in @ (esk95_3 @ X3138 @ X3139 @ X3140) @ X3138)|((X3139)=(X3140))|(in @ (esk93_3 @ X3138 @ X3139 @ X3140) @ X3138)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(((in @ (esk96_3 @ X3138 @ X3139 @ X3140) @ X3138)|((X3139)=(X3140))|(in @ (esk93_3 @ X3138 @ X3139 @ X3140) @ X3138)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(((in @ (kpair @ (esk95_3 @ X3138 @ X3139 @ X3140) @ (esk96_3 @ X3138 @ X3139 @ X3140)) @ X3140)|((X3139)=(X3140))|(in @ (esk93_3 @ X3138 @ X3139 @ X3140) @ X3138)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(~(in @ (kpair @ (esk95_3 @ X3138 @ X3139 @ X3140) @ (esk96_3 @ X3138 @ X3139 @ X3140)) @ X3139)|((X3139)=(X3140))|(in @ (esk93_3 @ X3138 @ X3139 @ X3140) @ X3138)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139)))))&((((in @ (esk95_3 @ X3138 @ X3139 @ X3140) @ X3138)|((X3139)=(X3140))|(in @ (esk94_3 @ X3138 @ X3139 @ X3140) @ X3138)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(((in @ (esk96_3 @ X3138 @ X3139 @ X3140) @ X3138)|((X3139)=(X3140))|(in @ (esk94_3 @ X3138 @ X3139 @ X3140) @ X3138)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(((in @ (kpair @ (esk95_3 @ X3138 @ X3139 @ X3140) @ (esk96_3 @ X3138 @ X3139 @ X3140)) @ X3140)|((X3139)=(X3140))|(in @ (esk94_3 @ X3138 @ X3139 @ X3140) @ X3138)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(~(in @ (kpair @ (esk95_3 @ X3138 @ X3139 @ X3140) @ (esk96_3 @ X3138 @ X3139 @ X3140)) @ X3139)|((X3139)=(X3140))|(in @ (esk94_3 @ X3138 @ X3139 @ X3140) @ X3138)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139)))))&((((in @ (esk95_3 @ X3138 @ X3139 @ X3140) @ X3138)|((X3139)=(X3140))|(in @ (kpair @ (esk93_3 @ X3138 @ X3139 @ X3140) @ (esk94_3 @ X3138 @ X3139 @ X3140)) @ X3139)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(((in @ (esk96_3 @ X3138 @ X3139 @ X3140) @ X3138)|((X3139)=(X3140))|(in @ (kpair @ (esk93_3 @ X3138 @ X3139 @ X3140) @ (esk94_3 @ X3138 @ X3139 @ X3140)) @ X3139)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(((in @ (kpair @ (esk95_3 @ X3138 @ X3139 @ X3140) @ (esk96_3 @ X3138 @ X3139 @ X3140)) @ X3140)|((X3139)=(X3140))|(in @ (kpair @ (esk93_3 @ X3138 @ X3139 @ X3140) @ (esk94_3 @ X3138 @ X3139 @ X3140)) @ X3139)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(~(in @ (kpair @ (esk95_3 @ X3138 @ X3139 @ X3140) @ (esk96_3 @ X3138 @ X3139 @ X3140)) @ X3139)|((X3139)=(X3140))|(in @ (kpair @ (esk93_3 @ X3138 @ X3139 @ X3140) @ (esk94_3 @ X3138 @ X3139 @ X3140)) @ X3139)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139)))))&(((in @ (esk95_3 @ X3138 @ X3139 @ X3140) @ X3138)|((X3139)=(X3140))|~(in @ (kpair @ (esk93_3 @ X3138 @ X3139 @ X3140) @ (esk94_3 @ X3138 @ X3139 @ X3140)) @ X3140)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(((in @ (esk96_3 @ X3138 @ X3139 @ X3140) @ X3138)|((X3139)=(X3140))|~(in @ (kpair @ (esk93_3 @ X3138 @ X3139 @ X3140) @ (esk94_3 @ X3138 @ X3139 @ X3140)) @ X3140)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(((in @ (kpair @ (esk95_3 @ X3138 @ X3139 @ X3140) @ (esk96_3 @ X3138 @ X3139 @ X3140)) @ X3140)|((X3139)=(X3140))|~(in @ (kpair @ (esk93_3 @ X3138 @ X3139 @ X3140) @ (esk94_3 @ X3138 @ X3139 @ X3140)) @ X3140)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))&(~(in @ (kpair @ (esk95_3 @ X3138 @ X3139 @ X3140) @ (esk96_3 @ X3138 @ X3139 @ X3140)) @ X3139)|((X3139)=(X3140))|~(in @ (kpair @ (esk93_3 @ X3138 @ X3139 @ X3140) @ (esk94_3 @ X3138 @ X3139 @ X3140)) @ X3140)|~(breln1 @ X3138 @ X3140)|~(breln1 @ X3138 @ X3139))))))))&((~(breln1 @ X3145 @ X3146)|(breln1 @ X3145 @ (breln1invset @ X3145 @ X3146)))&((~(breln1 @ X3147 @ X3148)|(~(in @ X3149 @ X3147)|(~(in @ X3150 @ X3147)|(~(in @ (kpair @ X3149 @ X3150) @ X3148)|(in @ (kpair @ X3150 @ X3149) @ (breln1invset @ X3147 @ X3148))))))&((~(breln1 @ X3151 @ X3152)|(~(in @ X3153 @ X3151)|(~(in @ X3154 @ X3151)|(~(in @ (kpair @ X3154 @ X3153) @ (breln1invset @ X3151 @ X3152))|(in @ (kpair @ X3153 @ X3154) @ X3152)))))&((~(breln1 @ X3155 @ X3156)|(~(breln1 @ X3155 @ X3157)|(breln1 @ X3155 @ (breln1compset @ X3155 @ X3156 @ X3157))))&((~(breln1 @ X3158 @ X3159)|(~(breln1 @ X3158 @ X3160)|(~(in @ X3161 @ X3158)|(~(in @ X3162 @ X3158)|(~(in @ X3163 @ X3158)|(~(in @ (kpair @ X3161 @ X3163) @ X3159)|(~(in @ (kpair @ X3163 @ X3162) @ X3160)|(in @ (kpair @ X3161 @ X3162) @ (breln1compset @ X3158 @ X3159 @ X3160)))))))))&(((((in @ (esk97_5 @ X3164 @ X3165 @ X3166 @ X3167 @ X3168) @ X3164)|~(in @ (kpair @ X3167 @ X3168) @ (breln1compset @ X3164 @ X3165 @ X3166))|~(in @ X3168 @ X3164)|~(in @ X3167 @ X3164)|~(breln1 @ X3164 @ X3166)|~(breln1 @ X3164 @ X3165))&((in @ (kpair @ X3167 @ (esk97_5 @ X3164 @ X3165 @ X3166 @ X3167 @ X3168)) @ X3165)|~(in @ (kpair @ X3167 @ X3168) @ (breln1compset @ X3164 @ X3165 @ X3166))|~(in @ X3168 @ X3164)|~(in @ X3167 @ X3164)|~(breln1 @ X3164 @ X3166)|~(breln1 @ X3164 @ X3165)))&((in @ (kpair @ (esk97_5 @ X3164 @ X3165 @ X3166 @ X3167 @ X3168) @ X3168) @ X3166)|~(in @ (kpair @ X3167 @ X3168) @ (breln1compset @ X3164 @ X3165 @ X3166))|~(in @ X3168 @ X3164)|~(in @ X3167 @ X3164)|~(breln1 @ X3164 @ X3166)|~(breln1 @ X3164 @ X3165)))&((((in @ (esk98_6 @ X3170 @ X3171 @ X3172 @ X3173 @ X3174 @ X3175) @ X3170)|(X3175)|~(in @ (kpair @ X3173 @ X3174) @ (breln1compset @ X3170 @ X3171 @ X3172))|~(in @ X3174 @ X3170)|~(in @ X3173 @ X3170)|~(breln1 @ X3170 @ X3172)|~(breln1 @ X3170 @ X3171))&(((in @ (kpair @ X3173 @ (esk98_6 @ X3170 @ X3171 @ X3172 @ X3173 @ X3174 @ X3175)) @ X3171)|(X3175)|~(in @ (kpair @ X3173 @ X3174) @ (breln1compset @ X3170 @ X3171 @ X3172))|~(in @ X3174 @ X3170)|~(in @ X3173 @ X3170)|~(breln1 @ X3170 @ X3172)|~(breln1 @ X3170 @ X3171))&(((in @ (kpair @ (esk98_6 @ X3170 @ X3171 @ X3172 @ X3173 @ X3174 @ X3175) @ X3174) @ X3172)|(X3175)|~(in @ (kpair @ X3173 @ X3174) @ (breln1compset @ X3170 @ X3171 @ X3172))|~(in @ X3174 @ X3170)|~(in @ X3173 @ X3170)|~(breln1 @ X3170 @ X3172)|~(breln1 @ X3170 @ X3171))&(~(X3175)|(X3175)|~(in @ (kpair @ X3173 @ X3174) @ (breln1compset @ X3170 @ X3171 @ X3172))|~(in @ X3174 @ X3170)|~(in @ X3173 @ X3170)|~(breln1 @ X3170 @ X3172)|~(breln1 @ X3170 @ X3171)))))&((~(breln1 @ X3177 @ X3178)|(~(breln1 @ X3177 @ X3179)|(breln1 @ X3177 @ (binunion @ X3178 @ X3179))))&((~(breln1 @ X3180 @ X3181)|(~(breln1 @ X3180 @ X3182)|(~(in @ X3183 @ X3180)|(~(in @ X3184 @ X3180)|(~(in @ (kpair @ X3183 @ X3184) @ X3181)|(in @ (kpair @ X3183 @ X3184) @ (binunion @ X3181 @ X3182)))))))&((~(breln1 @ X3185 @ X3186)|(~(breln1 @ X3185 @ X3187)|(~(in @ X3188 @ X3185)|(~(in @ X3189 @ X3185)|(~(in @ (kpair @ X3188 @ X3189) @ X3187)|(in @ (kpair @ X3188 @ X3189) @ (binunion @ X3186 @ X3187)))))))&(((~(in @ (kpair @ X3193 @ X3194) @ X3191)|(in @ (kpair @ X3193 @ X3194) @ (binunion @ X3191 @ X3192))|~(in @ X3194 @ X3190)|~(in @ X3193 @ X3190)|~(breln1 @ X3190 @ X3192)|~(breln1 @ X3190 @ X3191))&(~(in @ (kpair @ X3193 @ X3194) @ X3192)|(in @ (kpair @ X3193 @ X3194) @ (binunion @ X3191 @ X3192))|~(in @ X3194 @ X3190)|~(in @ X3193 @ X3190)|~(breln1 @ X3190 @ X3192)|~(breln1 @ X3190 @ X3191)))&((~(breln1 @ X3195 @ X3196)|(~(breln1 @ X3195 @ X3197)|(~(in @ X3198 @ X3195)|(~(in @ X3199 @ X3195)|(~(in @ (kpair @ X3198 @ X3199) @ (binunion @ X3196 @ X3197))|((in @ (kpair @ X3198 @ X3199) @ X3196)|(in @ (kpair @ X3198 @ X3199) @ X3197)))))))&(((((in @ (kpair @ X3203 @ X3204) @ X3202)|(X3205)|(in @ (kpair @ X3203 @ X3204) @ X3201)|~(in @ (kpair @ X3203 @ X3204) @ (binunion @ X3201 @ X3202))|~(in @ X3204 @ X3200)|~(in @ X3203 @ X3200)|~(breln1 @ X3200 @ X3202)|~(breln1 @ X3200 @ X3201))&(~(X3205)|(X3205)|(in @ (kpair @ X3203 @ X3204) @ X3201)|~(in @ (kpair @ X3203 @ X3204) @ (binunion @ X3201 @ X3202))|~(in @ X3204 @ X3200)|~(in @ X3203 @ X3200)|~(breln1 @ X3200 @ X3202)|~(breln1 @ X3200 @ X3201)))&(((in @ (kpair @ X3203 @ X3204) @ X3202)|(X3205)|~(X3205)|~(in @ (kpair @ X3203 @ X3204) @ (binunion @ X3201 @ X3202))|~(in @ X3204 @ X3200)|~(in @ X3203 @ X3200)|~(breln1 @ X3200 @ X3202)|~(breln1 @ X3200 @ X3201))&(~(X3205)|(X3205)|~(X3205)|~(in @ (kpair @ X3203 @ X3204) @ (binunion @ X3201 @ X3202))|~(in @ X3204 @ X3200)|~(in @ X3203 @ X3200)|~(breln1 @ X3200 @ X3202)|~(breln1 @ X3200 @ X3201))))&((~(breln1 @ X3206 @ X3207)|(~(breln1 @ X3206 @ X3208)|((binunion @ X3207 @ X3208)=(binunion @ X3208 @ X3207))))&((~(breln1 @ X3209 @ X3210)|((X3210)=(breln1invset @ X3209 @ (breln1invset @ X3209 @ X3210))))&((~(breln1 @ X3211 @ X3212)|(~(breln1 @ X3211 @ X3213)|((breln1invset @ X3211 @ (breln1compset @ X3211 @ X3212 @ X3213))=(breln1compset @ X3211 @ (breln1invset @ X3211 @ X3213) @ (breln1invset @ X3211 @ X3212)))))&((~(breln1 @ X3214 @ X3215)|(~(breln1 @ X3214 @ X3216)|(~(breln1 @ X3214 @ X3217)|((breln1compset @ X3214 @ (binunion @ X3215 @ X3216) @ X3217)=(binunion @ (breln1compset @ X3214 @ X3215 @ X3217) @ (breln1compset @ X3214 @ X3216 @ X3217))))))&((~(breln1 @ X3218 @ X3219)|(~(breln1 @ X3218 @ X3220)|(~(breln1 @ X3218 @ X3221)|((breln1compset @ X3218 @ (binunion @ X3219 @ X3220) @ X3221)=(binunion @ (breln1invset @ X3218 @ (breln1compset @ X3218 @ (breln1invset @ X3218 @ X3221) @ (breln1invset @ X3218 @ X3220))) @ (breln1invset @ X3218 @ (breln1compset @ X3218 @ (breln1invset @ X3218 @ X3221) @ (breln1invset @ X3218 @ X3219))))))))&(((((in @ (esk100_3 @ X3222 @ X3223 @ X3225) @ X3222)|~(in @ X3225 @ (esk99_2 @ X3222 @ X3223)))&(((X3225)=(X3223 @ (esk100_3 @ X3222 @ X3223 @ X3225)))|~(in @ X3225 @ (esk99_2 @ X3222 @ X3223))))&(~(in @ X3228 @ X3222)|((X3227)!=(X3223 @ X3228))|(in @ X3227 @ (esk99_2 @ X3222 @ X3223))))&((((((in @ (esk102_3 @ X3229 @ X3230 @ X3232) @ X3229)|~(in @ X3232 @ (esk101_2 @ X3229 @ X3230)))&(((X3232)=(X3230 @ (esk102_3 @ X3229 @ X3230 @ X3232)))|~(in @ X3232 @ (esk101_2 @ X3229 @ X3230))))&(~(in @ X3235 @ X3229)|((X3234)!=(X3230 @ X3235))|(in @ X3234 @ (esk101_2 @ X3229 @ X3230))))&((~(in @ (esk103_3 @ X3229 @ X3230 @ X3236) @ X3236)|(~(in @ X3238 @ X3229)|((esk103_3 @ X3229 @ X3230 @ X3236)!=(X3230 @ X3238)))|((esk101_2 @ X3229 @ X3230)=(X3236)))&(((in @ (esk104_3 @ X3229 @ X3230 @ X3236) @ X3229)|(in @ (esk103_3 @ X3229 @ X3230 @ X3236) @ X3236)|((esk101_2 @ X3229 @ X3230)=(X3236)))&(((esk103_3 @ X3229 @ X3230 @ X3236)=(X3230 @ (esk104_3 @ X3229 @ X3230 @ X3236)))|(in @ (esk103_3 @ X3229 @ X3230 @ X3236) @ X3236)|((esk101_2 @ X3229 @ X3230)=(X3236))))))&(((((in @ (esk105_3 @ X3240 @ X3241 @ X3242) @ X3240)|~(in @ X3242 @ (image1 @ X3240 @ X3241)))&(((X3242)=(X3241 @ (esk105_3 @ X3240 @ X3241 @ X3242)))|~(in @ X3242 @ (image1 @ X3240 @ X3241))))&(~(in @ X3247 @ X3244)|((X3246)!=(X3245 @ X3247))|(in @ X3246 @ (image1 @ X3244 @ X3245))))&((((in @ (esk106_3 @ X3248 @ X3249 @ X3250) @ X3248)|~(in @ X3250 @ (image1 @ X3248 @ X3249)))&(((X3250)=(X3249 @ (esk106_3 @ X3248 @ X3249 @ X3250)))|~(in @ X3250 @ (image1 @ X3248 @ X3249))))&((~(in @ X3255 @ X3252)|((X3254)!=(X3253 @ X3255))|(in @ X3254 @ (image1 @ X3252 @ X3253)))&((in @ esk109_0 @ (funcSet @ esk107_0 @ esk108_0))&((injective @ esk107_0 @ esk108_0 @ esk109_0)&~(in @ esk109_0 @ (dsetconstr @ (funcSet @ esk107_0 @ esk108_0) @ (^[Z0/* 3 */:$i]:((injective @ esk107_0 @ esk108_0 @ Z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[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_393])])])])])])).
0.39/0.91	thf(c_0_395, negated_conjecture, ~((in @ esk109_0 @ (dsetconstr @ (funcSet @ esk107_0 @ esk108_0) @ (injective @ esk107_0 @ esk108_0)))), inference(split_conjunct,[status(thm)],[c_0_394])).
0.39/0.91	thf(c_0_396, negated_conjecture, ![X1:$i > $o, X2:$i, X3:$i]:(((in @ X2 @ (dsetconstr @ X3 @ X1))|~((X1 @ X2))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_394])).
0.39/0.91	thf(c_0_397, negated_conjecture, (in @ esk109_0 @ (funcSet @ esk107_0 @ esk108_0)), inference(split_conjunct,[status(thm)],[c_0_394])).
0.39/0.91	thf(c_0_398, negated_conjecture, (injective @ esk107_0 @ esk108_0 @ esk109_0), inference(split_conjunct,[status(thm)],[c_0_394])).
0.39/0.91	thf(c_0_399, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395, c_0_396]), c_0_397]), c_0_398])]), ['proof']).
0.39/0.91	# SZS output end CNFRefutation
0.39/0.91	# Parsed axioms                        : 683
0.39/0.91	# Removed by relevancy pruning/SinE    : 367
0.39/0.91	# Initial clauses                      : 543
0.39/0.91	# Removed in clause preprocessing      : 35
0.39/0.91	# Initial clauses in saturation        : 508
0.39/0.91	# Processed clauses                    : 711
0.39/0.91	# ...of these trivial                  : 9
0.39/0.91	# ...subsumed                          : 50
0.39/0.91	# ...remaining for further processing  : 652
0.39/0.91	# Other redundant clauses eliminated   : 30
0.39/0.91	# Clauses deleted for lack of memory   : 0
0.39/0.91	# Backward-subsumed                    : 2
0.39/0.91	# Backward-rewritten                   : 1
0.39/0.91	# Generated clauses                    : 1711
0.39/0.91	# ...of the previous two non-redundant : 1581
0.39/0.91	# ...aggressively subsumed             : 0
0.39/0.91	# Contextual simplify-reflections      : 14
0.39/0.91	# Paramodulations                      : 1672
0.39/0.91	# Factorizations                       : 0
0.39/0.91	# NegExts                              : 0
0.39/0.91	# Equation resolutions                 : 35
0.39/0.91	# Total rewrite steps                  : 114
0.39/0.91	# Propositional unsat checks           : 0
0.39/0.91	#    Propositional check models        : 0
0.39/0.91	#    Propositional check unsatisfiable : 0
0.39/0.91	#    Propositional clauses             : 0
0.39/0.91	#    Propositional clauses after purity: 0
0.39/0.91	#    Propositional unsat core size     : 0
0.39/0.91	#    Propositional preprocessing time  : 0.000
0.39/0.91	#    Propositional encoding time       : 0.000
0.39/0.91	#    Propositional solver time         : 0.000
0.39/0.91	#    Success case prop preproc time    : 0.000
0.39/0.91	#    Success case prop encoding time   : 0.000
0.39/0.91	#    Success case prop solver time     : 0.000
0.39/0.91	# Current number of processed clauses  : 189
0.39/0.91	#    Positive orientable unit clauses  : 34
0.39/0.91	#    Positive unorientable unit clauses: 0
0.39/0.91	#    Negative unit clauses             : 3
0.39/0.91	#    Non-unit-clauses                  : 152
0.39/0.91	# Current number of unprocessed clauses: 1815
0.39/0.91	# ...number of literals in the above   : 5721
0.39/0.91	# Current number of archived formulas  : 0
0.39/0.91	# Current number of archived clauses   : 444
0.39/0.91	# Clause-clause subsumption calls (NU) : 50089
0.39/0.91	# Rec. Clause-clause subsumption calls : 15833
0.39/0.91	# Non-unit clause-clause subsumptions  : 61
0.39/0.91	# Unit Clause-clause subsumption calls : 198
0.39/0.91	# Rewrite failures with RHS unbound    : 0
0.39/0.91	# BW rewrite match attempts            : 22
0.39/0.91	# BW rewrite match successes           : 1
0.39/0.91	# Condensation attempts                : 0
0.39/0.91	# Condensation successes               : 0
0.39/0.91	# Termbank termtop insertions          : 117296
0.39/0.91	
0.39/0.91	# -------------------------------------------------
0.39/0.91	# User time                : 0.322 s
0.39/0.91	# System time              : 0.029 s
0.39/0.91	# Total time               : 0.351 s
0.39/0.91	# Maximum resident set size: 10200 pages
1.83/0.94	
1.83/0.94	# -------------------------------------------------
1.83/0.94	# User time                : 0.340 s
1.83/0.94	# System time              : 0.033 s
1.83/0.94	# Total time               : 0.374 s
1.83/0.94	# Maximum resident set size: 2884 pages
1.83/0.94	% E---3.1 exiting
1.83/0.95	EOF