0.11/0.16	% Problem    : Vampire---4.8_1947 : TPTP v0.0.0. Released v0.0.0.
0.11/0.17	% Command    : run_E %s %d THM
0.17/0.38	% Computer : n002.cluster.edu
0.17/0.38	% Model    : x86_64 x86_64
0.17/0.38	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.17/0.38	% Memory   : 8042.1875MB
0.17/0.38	% OS       : Linux 3.10.0-693.el7.x86_64
0.17/0.38	% CPULimit   : 1440
0.17/0.38	% WCLimit    : 180
0.17/0.38	% DateTime   : Mon Jul  3 13:10:37 EDT 2023
0.17/0.38	% CPUTime    : 
0.23/0.54	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.Ks7GnS4oKC/Vampire---4.8_1947
0.23/0.54	# Version: 3.1pre001-ho
0.71/1.16	# Preprocessing class: HSLMSLSSLLLCHFA.
0.71/1.16	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.71/1.16	# Starting ehoh_best5 with 180s (1) cores
0.71/1.16	# Starting almost_fo_3_lam with 180s (1) cores
0.71/1.16	# Starting new_bool_5 with 180s (1) cores
0.71/1.16	# Starting pre_casc_3 with 180s (1) cores
0.71/1.16	# Starting ho_unfolding_8 with 180s (1) cores
0.71/1.16	# Starting new_ho_10_cnf2 with 180s (1) cores
0.71/1.16	# Starting new_bool_3 with 180s (1) cores
0.71/1.16	# Starting new_ho_5 with 180s (1) cores
0.71/1.16	# ho_unfolding_8 with pid 2139 completed with status 0
0.71/1.16	# Result found by ho_unfolding_8
0.71/1.16	# Preprocessing class: HSLMSLSSLLLCHFA.
0.71/1.16	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.71/1.16	# Starting ehoh_best5 with 180s (1) cores
0.71/1.16	# Starting almost_fo_3_lam with 180s (1) cores
0.71/1.16	# Starting new_bool_5 with 180s (1) cores
0.71/1.16	# Starting pre_casc_3 with 180s (1) cores
0.71/1.16	# Starting ho_unfolding_8 with 180s (1) cores
0.71/1.16	# No SInE strategy applied
0.71/1.16	# Search class: HGHSM-FSLM32-DHFMMSBN
0.71/1.16	# partial match(1): HGHSM-FSLM32-MHFMMSBN
0.71/1.16	# Scheduled 9 strats onto 1 cores with 180 seconds (180 total)
0.71/1.16	# Starting ho_unfolding_8 with 37s (1) cores
0.71/1.16	# ho_unfolding_8 with pid 2150 completed with status 0
0.71/1.16	# Result found by ho_unfolding_8
0.71/1.16	# Preprocessing class: HSLMSLSSLLLCHFA.
0.71/1.16	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
0.71/1.16	# Starting ehoh_best5 with 180s (1) cores
0.71/1.16	# Starting almost_fo_3_lam with 180s (1) cores
0.71/1.16	# Starting new_bool_5 with 180s (1) cores
0.71/1.16	# Starting pre_casc_3 with 180s (1) cores
0.71/1.16	# Starting ho_unfolding_8 with 180s (1) cores
0.71/1.16	# No SInE strategy applied
0.71/1.16	# Search class: HGHSM-FSLM32-DHFMMSBN
0.71/1.16	# partial match(1): HGHSM-FSLM32-MHFMMSBN
0.71/1.16	# Scheduled 9 strats onto 1 cores with 180 seconds (180 total)
0.71/1.16	# Starting ho_unfolding_8 with 37s (1) cores
0.71/1.16	# Preprocessing time       : 0.147 s
0.71/1.16	# Presaturation interreduction done
0.71/1.16	
0.71/1.16	# Proof found!
0.71/1.16	# SZS status Theorem
0.71/1.16	# SZS output start CNFRefutation
0.71/1.16	thf(decl_22, type, in: $i > $i > $o).
0.71/1.16	thf(decl_23, type, exu: ($i > $o) > $o).
0.71/1.16	thf(decl_24, type, setextAx: $o).
0.71/1.16	thf(decl_25, type, emptyset: $i).
0.71/1.16	thf(decl_26, type, emptysetAx: $o).
0.71/1.16	thf(decl_27, type, setadjoin: $i > $i > $i).
0.71/1.16	thf(decl_28, type, setadjoinAx: $o).
0.71/1.16	thf(decl_29, type, powerset: $i > $i).
0.71/1.16	thf(decl_30, type, powersetAx: $o).
0.71/1.16	thf(decl_31, type, setunion: $i > $i).
0.71/1.16	thf(decl_32, type, setunionAx: $o).
0.71/1.16	thf(decl_33, type, omega: $i).
0.71/1.16	thf(decl_34, type, omega0Ax: $o).
0.71/1.16	thf(decl_35, type, omegaSAx: $o).
0.71/1.16	thf(decl_36, type, omegaIndAx: $o).
0.71/1.16	thf(decl_37, type, replAx: $o).
0.71/1.16	thf(decl_38, type, foundationAx: $o).
0.71/1.16	thf(decl_39, type, wellorderingAx: $o).
0.71/1.16	thf(decl_40, type, descr: ($i > $o) > $i).
0.71/1.16	thf(decl_41, type, descrp: $o).
0.71/1.16	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_43, type, dsetconstrI: $o).
0.71/1.16	thf(decl_44, type, dsetconstrEL: $o).
0.71/1.16	thf(decl_45, type, dsetconstrER: $o).
0.71/1.16	thf(decl_46, type, exuE1: $o).
0.71/1.16	thf(decl_47, type, prop2set: $o > $i).
0.71/1.16	thf(decl_48, type, prop2setE: $o).
0.71/1.16	thf(decl_49, type, emptysetE: $o).
0.71/1.16	thf(decl_50, type, emptysetimpfalse: $o).
0.71/1.16	thf(decl_51, type, notinemptyset: $o).
0.71/1.16	thf(decl_52, type, exuE3e: $o).
0.71/1.16	thf(decl_53, type, setext: $o).
0.71/1.16	thf(decl_54, type, emptyI: $o).
0.71/1.16	thf(decl_55, type, noeltsimpempty: $o).
0.71/1.16	thf(decl_56, type, setbeta: $o).
0.71/1.16	thf(decl_57, type, nonempty: $i > $o).
0.71/1.16	thf(decl_58, type, nonemptyE1: $o).
0.71/1.16	thf(decl_59, type, nonemptyI: $o).
0.71/1.16	thf(decl_60, type, nonemptyI1: $o).
0.71/1.16	thf(decl_61, type, setadjoinIL: $o).
0.71/1.16	thf(decl_62, type, emptyinunitempty: $o).
0.71/1.16	thf(decl_63, type, setadjoinIR: $o).
0.71/1.16	thf(decl_64, type, setadjoinE: $o).
0.71/1.16	thf(decl_65, type, setadjoinOr: $o).
0.71/1.16	thf(decl_66, type, setoftrueEq: $o).
0.71/1.16	thf(decl_67, type, powersetI: $o).
0.71/1.16	thf(decl_68, type, emptyinPowerset: $o).
0.71/1.16	thf(decl_69, type, emptyInPowerset: $o).
0.71/1.16	thf(decl_70, type, powersetE: $o).
0.71/1.16	thf(decl_71, type, setunionI: $o).
0.71/1.16	thf(decl_72, type, setunionE: $o).
0.71/1.16	thf(decl_73, type, subPowSU: $o).
0.71/1.16	thf(decl_74, type, exuE2: $o).
0.71/1.16	thf(decl_75, type, nonemptyImpWitness: $o).
0.71/1.16	thf(decl_76, type, uniqinunit: $o).
0.71/1.16	thf(decl_77, type, notinsingleton: $o).
0.71/1.16	thf(decl_78, type, eqinunit: $o).
0.71/1.16	thf(decl_79, type, singletonsswitch: $o).
0.71/1.16	thf(decl_80, type, upairsetE: $o).
0.71/1.16	thf(decl_81, type, upairsetIL: $o).
0.71/1.16	thf(decl_82, type, upairsetIR: $o).
0.71/1.16	thf(decl_83, type, emptyE1: $o).
0.71/1.16	thf(decl_84, type, vacuousDall: $o).
0.71/1.16	thf(decl_85, type, quantDeMorgan1: $o).
0.71/1.16	thf(decl_86, type, quantDeMorgan2: $o).
0.71/1.16	thf(decl_87, type, quantDeMorgan3: $o).
0.71/1.16	thf(decl_88, type, quantDeMorgan4: $o).
0.71/1.16	thf(decl_89, type, prop2setI: $o).
0.71/1.16	thf(decl_90, type, set2prop: $i > $o).
0.71/1.16	thf(decl_91, type, prop2set2propI: $o).
0.71/1.16	thf(decl_92, type, notdexE: $o).
0.71/1.16	thf(decl_93, type, notdallE: $o).
0.71/1.16	thf(decl_94, type, exuI1: $o).
0.71/1.16	thf(decl_95, type, exuI3: $o).
0.71/1.16	thf(decl_96, type, exuI2: $o).
0.71/1.16	thf(decl_97, type, inCongP: $o).
0.71/1.16	thf(decl_98, type, in__Cong: $o).
0.71/1.16	thf(decl_99, type, exuE3u: $o).
0.71/1.16	thf(decl_100, type, exu__Cong: $o).
0.71/1.16	thf(decl_101, type, emptyset__Cong: $o).
0.71/1.16	thf(decl_102, type, setadjoin__Cong: $o).
0.71/1.16	thf(decl_103, type, powerset__Cong: $o).
0.71/1.16	thf(decl_104, type, setunion__Cong: $o).
0.71/1.16	thf(decl_105, type, omega__Cong: $o).
0.71/1.16	thf(decl_106, type, exuEu: $o).
0.71/1.16	thf(decl_107, type, descr__Cong: $o).
0.71/1.16	thf(decl_108, type, dsetconstr__Cong: $o).
0.71/1.16	thf(decl_109, type, subset: $i > $i > $o).
0.71/1.16	thf(decl_112, type, subsetI1: $o).
0.71/1.16	thf(decl_113, type, eqimpsubset2: $o).
0.71/1.16	thf(decl_114, type, eqimpsubset1: $o).
0.71/1.16	thf(decl_115, type, subsetI2: $o).
0.71/1.16	thf(decl_116, type, emptysetsubset: $o).
0.71/1.16	thf(decl_117, type, subsetE: $o).
0.71/1.16	thf(decl_118, type, subsetE2: $o).
0.71/1.16	thf(decl_119, type, notsubsetI: $o).
0.71/1.16	thf(decl_120, type, notequalI1: $o).
0.71/1.16	thf(decl_121, type, notequalI2: $o).
0.71/1.16	thf(decl_122, type, subsetRefl: $o).
0.71/1.16	thf(decl_123, type, subsetTrans: $o).
0.71/1.16	thf(decl_124, type, setadjoinSub: $o).
0.71/1.16	thf(decl_125, type, setadjoinSub2: $o).
0.71/1.16	thf(decl_126, type, subset2powerset: $o).
0.71/1.16	thf(decl_127, type, setextsub: $o).
0.71/1.16	thf(decl_128, type, subsetemptysetimpeq: $o).
0.71/1.16	thf(decl_129, type, powersetI1: $o).
0.71/1.16	thf(decl_130, type, powersetE1: $o).
0.71/1.16	thf(decl_131, type, inPowerset: $o).
0.71/1.16	thf(decl_132, type, powersetsubset: $o).
0.71/1.16	thf(decl_133, type, sepInPowerset: $o).
0.71/1.16	thf(decl_134, type, sepSubset: $o).
0.71/1.16	thf(decl_135, type, binunion: $i > $i > $i).
0.71/1.16	thf(decl_136, type, binunionIL: $o).
0.71/1.16	thf(decl_137, type, upairset2IR: $o).
0.71/1.16	thf(decl_138, type, binunionIR: $o).
0.71/1.16	thf(decl_139, type, binunionEcases: $o).
0.71/1.16	thf(decl_140, type, binunionE: $o).
0.71/1.16	thf(decl_141, type, binunionLsub: $o).
0.71/1.16	thf(decl_142, type, binunionRsub: $o).
0.71/1.16	thf(decl_143, type, binintersect: $i > $i > $i).
0.71/1.16	thf(decl_144, type, binintersectI: $o).
0.71/1.16	thf(decl_145, type, binintersectSubset5: $o).
0.71/1.16	thf(decl_146, type, binintersectEL: $o).
0.71/1.16	thf(decl_147, type, binintersectLsub: $o).
0.71/1.16	thf(decl_148, type, binintersectSubset2: $o).
0.71/1.16	thf(decl_149, type, binintersectSubset3: $o).
0.71/1.16	thf(decl_150, type, binintersectER: $o).
0.71/1.16	thf(decl_151, type, disjointsetsI1: $o).
0.71/1.16	thf(decl_152, type, binintersectRsub: $o).
0.71/1.16	thf(decl_153, type, binintersectSubset4: $o).
0.71/1.16	thf(decl_154, type, binintersectSubset1: $o).
0.71/1.16	thf(decl_155, type, bs114d: $o).
0.71/1.16	thf(decl_157, type, setminus: $i > $i > $i).
0.71/1.16	thf(decl_158, type, setminusI: $o).
0.71/1.16	thf(decl_159, type, setminusEL: $o).
0.71/1.16	thf(decl_160, type, setminusER: $o).
0.71/1.16	thf(decl_161, type, setminusSubset2: $o).
0.71/1.16	thf(decl_162, type, setminusERneg: $o).
0.71/1.16	thf(decl_163, type, setminusELneg: $o).
0.71/1.16	thf(decl_164, type, setminusILneg: $o).
0.71/1.16	thf(decl_165, type, setminusIRneg: $o).
0.71/1.16	thf(decl_166, type, setminusLsub: $o).
0.71/1.16	thf(decl_167, type, setminusSubset1: $o).
0.71/1.16	thf(decl_168, type, symdiff: $i > $i > $i).
0.71/1.16	thf(decl_169, type, symdiffE: $o).
0.71/1.16	thf(decl_170, type, symdiffI1: $o).
0.71/1.16	thf(decl_171, type, symdiffI2: $o).
0.71/1.16	thf(decl_172, type, symdiffIneg1: $o).
0.71/1.16	thf(decl_173, type, symdiffIneg2: $o).
0.71/1.16	thf(decl_174, type, iskpair: $i > $o).
0.71/1.16	thf(decl_175, type, secondinupair: $o).
0.71/1.16	thf(decl_176, type, setukpairIL: $o).
0.71/1.16	thf(decl_177, type, setukpairIR: $o).
0.71/1.16	thf(decl_178, type, kpairiskpair: $o).
0.71/1.16	thf(decl_179, type, kpair: $i > $i > $i).
0.71/1.16	thf(decl_180, type, kpairp: $o).
0.71/1.16	thf(decl_181, type, cartprod: $i > $i > $i).
0.71/1.16	thf(decl_182, type, singletonsubset: $o).
0.71/1.16	thf(decl_183, type, singletoninpowerset: $o).
0.71/1.16	thf(decl_184, type, singletoninpowunion: $o).
0.71/1.16	thf(decl_185, type, upairset2E: $o).
0.71/1.16	thf(decl_186, type, upairsubunion: $o).
0.71/1.16	thf(decl_187, type, upairinpowunion: $o).
0.71/1.16	thf(decl_188, type, ubforcartprodlem1: $o).
0.71/1.16	thf(decl_189, type, ubforcartprodlem2: $o).
0.71/1.16	thf(decl_190, type, ubforcartprodlem3: $o).
0.71/1.16	thf(decl_191, type, cartprodpairin: $o).
0.71/1.16	thf(decl_192, type, cartprodmempair1: $o).
0.71/1.16	thf(decl_193, type, cartprodmempair: $o).
0.71/1.16	thf(decl_194, type, setunionE2: $o).
0.71/1.16	thf(decl_195, type, setunionsingleton1: $o).
0.71/1.16	thf(decl_196, type, setunionsingleton2: $o).
0.71/1.16	thf(decl_197, type, setunionsingleton: $o).
0.71/1.16	thf(decl_198, type, singleton: $i > $o).
0.71/1.16	thf(decl_199, type, singletonprop: $o).
0.71/1.16	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
0.71/1.16	thf(decl_201, type, ex1E1: $o).
0.71/1.16	thf(decl_202, type, ex1I: $o).
0.71/1.16	thf(decl_203, type, ex1I2: $o).
0.71/1.16	thf(decl_204, type, singletonsuniq: $o).
0.71/1.16	thf(decl_209, type, setukpairinjL1: $o).
0.71/1.16	thf(decl_210, type, kfstsingleton: $o).
0.71/1.16	thf(decl_211, type, theprop: $o).
0.71/1.16	thf(decl_212, type, kfst: $i > $i).
0.71/1.16	thf(decl_213, type, kfstpairEq: $o).
0.71/1.16	thf(decl_214, type, cartprodfstin: $o).
0.71/1.16	thf(decl_215, type, setukpairinjL2: $o).
0.71/1.16	thf(decl_216, type, setukpairinjL: $o).
0.71/1.16	thf(decl_217, type, setukpairinjR11: $o).
0.71/1.16	thf(decl_218, type, setukpairinjR12: $o).
0.71/1.16	thf(decl_219, type, setukpairinjR1: $o).
0.71/1.16	thf(decl_220, type, upairequniteq: $o).
0.71/1.16	thf(decl_221, type, setukpairinjR2: $o).
0.71/1.16	thf(decl_222, type, setukpairinjR: $o).
0.71/1.16	thf(decl_223, type, ksndsingleton: $o).
0.71/1.16	thf(decl_224, type, ksnd: $i > $i).
0.71/1.16	thf(decl_225, type, ksndpairEq: $o).
0.71/1.16	thf(decl_226, type, kpairsurjEq: $o).
0.71/1.16	thf(decl_227, type, cartprodsndin: $o).
0.71/1.16	thf(decl_228, type, cartprodpairmemEL: $o).
0.71/1.16	thf(decl_229, type, cartprodpairmemER: $o).
0.71/1.16	thf(decl_230, type, cartprodmempaircEq: $o).
0.71/1.16	thf(decl_231, type, cartprodfstpairEq: $o).
0.71/1.16	thf(decl_232, type, cartprodsndpairEq: $o).
0.71/1.16	thf(decl_233, type, cartprodpairsurjEq: $o).
0.71/1.16	thf(decl_234, type, breln: $i > $i > $i > $o).
0.71/1.16	thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
0.71/1.16	thf(decl_236, type, dpsetconstrI: $o).
0.71/1.16	thf(decl_237, type, dpsetconstrSub: $o).
0.71/1.16	thf(decl_238, type, setOfPairsIsBReln: $o).
0.71/1.16	thf(decl_239, type, dpsetconstrERa: $o).
0.71/1.16	thf(decl_240, type, dpsetconstrEL1: $o).
0.71/1.16	thf(decl_241, type, dpsetconstrEL2: $o).
0.71/1.16	thf(decl_242, type, dpsetconstrER: $o).
0.71/1.16	thf(decl_243, type, func: $i > $i > $i > $o).
0.71/1.16	thf(decl_244, type, funcSet: $i > $i > $i).
0.71/1.16	thf(decl_245, type, funcImageSingleton: $o).
0.71/1.16	thf(decl_246, type, apProp: $o).
0.71/1.16	thf(decl_247, type, ap: $i > $i > $i > $i > $i).
0.71/1.16	thf(decl_248, type, app: $o).
0.71/1.16	thf(decl_249, type, infuncsetfunc: $o).
0.71/1.16	thf(decl_250, type, ap2p: $o).
0.71/1.16	thf(decl_251, type, funcinfuncset: $o).
0.71/1.16	thf(decl_252, type, lamProp: $o).
0.71/1.16	thf(decl_253, type, lam: $i > $i > ($i > $i) > $i).
0.71/1.16	thf(decl_254, type, lamp: $o).
0.71/1.16	thf(decl_255, type, lam2p: $o).
0.71/1.16	thf(decl_256, type, brelnall1: $o).
0.71/1.16	thf(decl_257, type, brelnall2: $o).
0.71/1.16	thf(decl_258, type, ex1E2: $o).
0.71/1.16	thf(decl_259, type, epred1_0: $o).
0.71/1.16	thf(decl_260, type, esk1_2: $i > $i > $i).
0.71/1.16	thf(decl_261, type, esk2_2: $i > $i > $i).
0.71/1.16	thf(decl_262, type, esk3_2: $i > $i > $i).
0.71/1.16	thf(decl_263, type, esk4_1: $i > $i).
0.71/1.16	thf(decl_264, type, esk5_2: ($i > $i > $o) > $i > $i).
0.71/1.16	thf(decl_265, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.71/1.16	thf(decl_266, type, esk7_2: ($i > $i > $o) > $i > $i).
0.71/1.16	thf(decl_267, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.71/1.16	thf(decl_268, type, esk9_1: $i > $i).
0.71/1.16	thf(decl_269, type, esk10_2: ($i > $o) > $i > $i).
0.71/1.16	thf(decl_270, type, esk11_2: ($i > $o) > $i > $i).
0.71/1.16	thf(decl_271, type, esk12_1: ($i > $o) > $i).
0.71/1.16	thf(decl_272, type, esk13_2: ($i > $o) > $i > $i).
0.71/1.16	thf(decl_273, type, esk14_1: ($i > $o) > $i).
0.71/1.16	thf(decl_274, type, esk15_2: $i > $i > $i).
0.71/1.16	thf(decl_275, type, esk16_2: $i > $i > $i).
0.71/1.16	thf(decl_276, type, esk17_1: $i > $i).
0.71/1.16	thf(decl_277, type, esk18_1: $i > $i).
0.71/1.16	thf(decl_278, type, esk19_1: $i > $i).
0.71/1.16	thf(decl_279, type, esk20_2: $i > $i > $i).
0.71/1.16	thf(decl_280, type, esk21_3: $i > $i > $o > $i).
0.71/1.16	thf(decl_281, type, esk22_2: ($i > $o) > $i > $i).
0.71/1.16	thf(decl_282, type, esk23_1: ($i > $o) > $i).
0.71/1.16	thf(decl_283, type, esk24_1: $i > $i).
0.71/1.16	thf(decl_284, type, esk25_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_285, type, esk26_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_286, type, esk27_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_287, type, esk28_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_288, type, esk29_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_289, type, esk30_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_290, type, esk31_2: ($i > $o) > $i > $i).
0.71/1.16	thf(decl_291, type, esk32_1: ($i > $o) > $i).
0.71/1.16	thf(decl_292, type, esk33_1: ($i > $o) > $i).
0.71/1.16	thf(decl_293, type, esk34_1: ($i > $o) > $i).
0.71/1.16	thf(decl_294, type, esk35_1: ($i > $o) > $i).
0.71/1.16	thf(decl_295, type, esk36_2: ($i > $o) > $i > $i).
0.71/1.16	thf(decl_296, type, esk37_1: ($i > $o) > $i).
0.71/1.16	thf(decl_297, type, esk38_2: ($i > $o) > $i > $i).
0.71/1.16	thf(decl_298, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.71/1.16	thf(decl_299, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.71/1.16	thf(decl_300, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.71/1.16	thf(decl_301, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.71/1.16	thf(decl_302, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.71/1.16	thf(decl_303, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.71/1.16	thf(decl_304, type, esk45_2: ($i > $o) > $i > $i).
0.71/1.16	thf(decl_305, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.71/1.16	thf(decl_306, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.71/1.16	thf(decl_307, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.71/1.16	thf(decl_308, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.71/1.16	thf(decl_309, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.71/1.16	thf(decl_310, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.71/1.16	thf(decl_311, type, esk52_2: $i > $i > $i).
0.71/1.16	thf(decl_312, type, esk53_2: $i > $i > $i).
0.71/1.16	thf(decl_313, type, esk54_2: $i > $i > $i).
0.71/1.16	thf(decl_314, type, esk55_3: $i > $i > $i > $i).
0.71/1.16	thf(decl_315, type, esk56_3: $i > $i > $i > $i).
0.71/1.16	thf(decl_316, type, esk57_2: $i > $i > $i).
0.71/1.16	thf(decl_317, type, esk58_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_318, type, esk59_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_319, type, esk60_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_320, type, esk61_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_321, type, esk62_3: $i > ($i > $o) > $i > $i).
0.71/1.16	thf(decl_322, type, esk63_3: $i > ($i > $o) > $i > $i).
0.71/1.16	thf(decl_323, type, esk64_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_324, type, esk65_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_325, type, esk66_2: $i > ($i > $o) > $i).
0.71/1.16	thf(decl_326, type, esk67_1: $i > $i).
0.71/1.16	thf(decl_327, type, esk68_1: $i > $i).
0.71/1.16	thf(decl_328, type, esk69_3: $i > $i > $i > $i).
0.71/1.16	thf(decl_329, type, esk70_4: $i > $i > $i > $i > $i).
0.71/1.16	thf(decl_330, type, esk71_3: $i > $i > $i > $i).
0.71/1.16	thf(decl_331, type, esk72_3: $i > $i > $i > $i).
0.71/1.16	thf(decl_332, type, esk73_4: $i > $i > $i > $i > $i).
0.71/1.16	thf(decl_333, type, esk74_3: $i > $i > $i > $i).
0.71/1.16	thf(decl_334, type, esk75_3: $i > $i > ($i > $i) > $i).
0.71/1.16	thf(decl_335, type, esk76_4: $i > $i > ($i > $i) > $i > $i).
0.71/1.16	thf(decl_336, type, esk77_3: $i > $i > ($i > $i) > $i).
0.71/1.16	thf(decl_337, type, esk78_4: $i > $i > ($i > $i) > $i > $i).
0.71/1.16	thf(decl_338, type, esk79_3: $i > $i > ($i > $i) > $i).
0.71/1.16	thf(decl_339, type, esk80_4: $i > $i > $i > ($i > $o) > $i).
0.71/1.16	thf(decl_340, type, esk81_4: $i > $i > $i > ($i > $o) > $i).
0.71/1.16	thf(decl_341, type, esk82_4: $i > $i > $i > ($i > $o) > $i).
0.71/1.16	thf(decl_342, type, esk83_4: $i > $i > $i > ($i > $o) > $i).
0.71/1.16	thf(decl_343, type, esk84_0: $i).
0.71/1.16	thf(decl_344, type, esk85_0: $i).
0.71/1.16	thf(decl_345, type, esk86_0: $i).
0.71/1.16	thf(decl_346, type, esk87_1: $i > $i).
0.71/1.16	thf(decl_347, type, esk88_0: $i).
0.71/1.16	thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', ex1)).
0.71/1.16	thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:(((in @ X2 @ X4)&((X4)=(setadjoin @ X2 @ emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', singleton)).
0.71/1.16	thf(func, axiom, ((func)=(^[X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)&![X2:$i]:(((in @ X2 @ X4)=>(ex1 @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', func)).
0.71/1.16	thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', breln)).
0.71/1.16	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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', replAx)).
0.71/1.16	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', exu)).
0.71/1.16	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', descrp)).
0.71/1.16	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', exuE1)).
0.71/1.16	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', exuE3e)).
0.71/1.16	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', nonempty)).
0.71/1.16	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', nonemptyI)).
0.71/1.16	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', exuE2)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', exuI1)).
0.71/1.16	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', exuI3)).
0.71/1.16	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', exuI2)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', exuE3u)).
0.71/1.16	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', exu__Cong)).
0.71/1.16	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', exuEu)).
0.71/1.16	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', descr__Cong)).
0.71/1.16	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', singletonprop)).
0.71/1.16	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', ex1E1)).
0.71/1.16	thf(ex1I, axiom, ((ex1I)<=>![X4:$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.Ks7GnS4oKC/Vampire---4.8_1947', ex1I)).
0.71/1.16	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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', ex1I2)).
0.71/1.16	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', kfstsingleton)).
0.71/1.16	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', ksndsingleton)).
0.71/1.16	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setOfPairsIsBReln)).
0.71/1.16	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', funcImageSingleton)).
0.71/1.16	thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', apProp)).
0.71/1.16	thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X31 @ X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', lamProp)).
0.71/1.16	thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X33 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', lamp)).
0.71/1.16	thf(ex1E2, axiom, ((ex1E2)<=>![X4:$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.Ks7GnS4oKC/Vampire---4.8_1947', ex1E2)).
0.71/1.16	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', dsetconstrI)).
0.71/1.16	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', dsetconstrEL)).
0.71/1.16	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', dsetconstrER)).
0.71/1.16	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setbeta)).
0.71/1.16	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', nonemptyE1)).
0.71/1.16	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', nonemptyI1)).
0.71/1.16	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setoftrueEq)).
0.71/1.16	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', nonemptyImpWitness)).
0.71/1.16	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.Ks7GnS4oKC/Vampire---4.8_1947', emptyE1)).
0.71/1.16	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', dsetconstr__Cong)).
0.71/1.16	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', sepInPowerset)).
0.71/1.16	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', sepSubset)).
0.71/1.16	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', theprop)).
0.71/1.16	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', dpsetconstrI)).
0.71/1.16	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', dpsetconstrSub)).
0.71/1.16	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', dpsetconstrERa)).
0.71/1.16	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', dpsetconstrEL1)).
0.71/1.16	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', dpsetconstrEL2)).
0.71/1.16	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', dpsetconstrER)).
0.71/1.16	thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', app)).
0.71/1.16	thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X30)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', infuncsetfunc)).
0.71/1.16	thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>(in @ X30 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', funcinfuncset)).
0.71/1.16	thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X34:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X34 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X34 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', lam2p)).
0.71/1.16	thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', brelnall1)).
0.71/1.16	thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', brelnall2)).
0.71/1.16	thf(funcGraphProp1, conjecture, ((((((setunionAx)=>((omega0Ax)=>((omegaSAx)=>(((replAx)=>(((((dsetconstrI)=>((dsetconstrEL)=>((((prop2setE)=>(((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((((noeltsimpempty)=>(((((((emptyinunitempty)=>(((setadjoinE)=>(((setoftrueEq)=>((((emptyInPowerset)=>((((((((uniqinunit)=>((notinsingleton)=>((eqinunit)=>(((upairsetE)=>((((emptyE1)=>(((quantDeMorgan1)=>((quantDeMorgan2)=>(((quantDeMorgan4)=>(((((((((inCongP)=>((in__Cong)=>(((((setadjoin__Cong)=>((powerset__Cong)=>(((omega__Cong)=>((exuEu)=>((((subsetI1)=>(((((((subsetE2)=>((notsubsetI)=>((notequalI1)=>(((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>(((subset2powerset)=>((setextsub)=>(((((inPowerset)=>((powersetsubset)=>((((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>(((binunionLsub)=>(((binintersectI)=>(((binintersectEL)=>((binintersectLsub)=>((((((binintersectRsub)=>((((bs114d)=>((setminusI)=>(((setminusER)=>(((((setminusILneg)=>((setminusIRneg)=>(((setminusSubset1)=>((((((symdiffIneg2)=>((((((kpairp)=>((((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((((setunionsingleton)=>(((ex1E1)=>(((ex1I2)=>(((setukpairinjL1)=>(((theprop)=>((kfstpairEq)=>((((((setukpairinjR12)=>((((setukpairinjR2)=>((setukpairinjR)=>((ksndsingleton)=>((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>(((((((cartprodpairsurjEq)=>(((((((((funcImageSingleton)=>((apProp)=>((app)=>(((((((lam2p)=>((brelnall1)=>(((ex1E2)=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30))))))<=(brelnall2))))<=(lamp))<=(lamProp))<=(funcinfuncset))<=(ap2p))<=(infuncsetfunc)))))<=(dpsetconstrER))<=(dpsetconstrEL2))<=(dpsetconstrEL1))<=(dpsetconstrERa))<=(setOfPairsIsBReln))<=(dpsetconstrSub))<=(dpsetconstrI)))<=(cartprodsndpairEq))<=(cartprodfstpairEq))<=(cartprodmempaircEq))<=(cartprodpairmemER))<=(cartprodpairmemEL))))))))<=(upairequniteq))<=(setukpairinjR1)))<=(setukpairinjR11))<=(setukpairinjL))<=(setukpairinjL2))<=(cartprodfstin))))<=(kfstsingleton)))<=(singletonsuniq)))<=(ex1I)))<=(singletonprop)))<=(setunionsingleton2))<=(setunionsingleton1)))))<=(cartprodpairin))<=(ubforcartprodlem3))))))))<=(singletoninpowerset))<=(singletonsubset)))<=(kpairiskpair))<=(setukpairIR))<=(setukpairIL))<=(secondinupair)))<=(symdiffIneg1))<=(symdiffI2))<=(symdiffI1))<=(symdiffE)))<=(setminusLsub))))<=(setminusELneg))<=(setminusERneg))<=(setminusSubset2)))<=(setminusEL))))<=(binintersectSubset1))<=(binintersectSubset4)))<=(disjointsetsI1))<=(binintersectER))<=(binintersectSubset3))<=(binintersectSubset2))))<=(binintersectSubset5)))<=(binunionRsub)))<=(binunionE))))))<=(sepSubset))<=(sepInPowerset))))<=(powersetE1))<=(powersetI1))<=(subsetemptysetimpeq))))<=(setadjoinSub2)))))<=(notequalI2)))))<=(subsetE))<=(emptysetsubset))<=(subsetI2))<=(eqimpsubset1))<=(eqimpsubset2)))<=(dsetconstr__Cong))<=(descr__Cong))))<=(setunion__Cong))))<=(emptyset__Cong))<=(exu__Cong))<=(exuE3u))))<=(exuI2))<=(exuI3))<=(exuI1))<=(notdallE))<=(notdexE))<=(prop2set2propI))<=(prop2setI)))<=(quantDeMorgan3))))<=(vacuousDall)))<=(upairsetIR))<=(upairsetIL)))<=(singletonsswitch)))))<=(nonemptyImpWitness))<=(exuE2))<=(subPowSU))<=(setunionE))<=(setunionI))<=(powersetE)))<=(emptyinPowerset))<=(powersetI)))<=(setadjoinOr)))<=(setadjoinIR)))<=(setadjoinIL))<=(nonemptyI1))<=(nonemptyI))<=(nonemptyE1))<=(setbeta)))<=(emptyI))<=(setext)))))<=(emptysetE)))<=(exuE1))<=(dsetconstrER))))<=(descrp))<=(wellorderingAx))<=(foundationAx)))<=(omegaIndAx)))))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', funcGraphProp1)).
0.71/1.16	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setextAx)).
0.71/1.16	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', emptysetAx)).
0.71/1.16	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setadjoinAx)).
0.71/1.16	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', powersetAx)).
0.71/1.16	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setunionAx)).
0.71/1.16	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', omega0Ax)).
0.71/1.16	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', omegaSAx)).
0.71/1.16	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', omegaIndAx)).
0.71/1.16	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', foundationAx)).
0.71/1.16	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.Ks7GnS4oKC/Vampire---4.8_1947', wellorderingAx)).
0.71/1.16	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', prop2setE)).
0.71/1.16	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', emptysetE)).
0.71/1.16	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', emptysetimpfalse)).
0.71/1.16	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', notinemptyset)).
0.71/1.16	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setext)).
0.71/1.16	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', emptyI)).
0.71/1.16	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', noeltsimpempty)).
0.71/1.16	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setadjoinIL)).
0.71/1.16	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', emptyinunitempty)).
0.71/1.16	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setadjoinIR)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', setadjoinE)).
0.71/1.16	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setadjoinOr)).
0.71/1.16	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', powersetI)).
0.71/1.16	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', emptyinPowerset)).
0.71/1.16	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', emptyInPowerset)).
0.71/1.16	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', powersetE)).
0.71/1.16	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setunionI)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', setunionE)).
0.71/1.16	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', subPowSU)).
0.71/1.16	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', uniqinunit)).
0.71/1.16	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', notinsingleton)).
0.71/1.16	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', eqinunit)).
0.71/1.16	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', singletonsswitch)).
0.71/1.16	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', upairsetE)).
0.71/1.16	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', upairsetIL)).
0.71/1.16	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', upairsetIR)).
0.71/1.16	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', vacuousDall)).
0.71/1.16	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', quantDeMorgan1)).
0.71/1.16	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', quantDeMorgan2)).
0.71/1.16	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', quantDeMorgan3)).
0.71/1.16	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', quantDeMorgan4)).
0.71/1.16	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', prop2setI)).
0.71/1.16	thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', prop2set2propI)).
0.71/1.16	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', notdexE)).
0.71/1.16	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', notdallE)).
0.71/1.16	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', inCongP)).
0.71/1.16	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', in__Cong)).
0.71/1.16	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', emptyset__Cong)).
0.71/1.16	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setadjoin__Cong)).
0.71/1.16	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', powerset__Cong)).
0.71/1.16	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setunion__Cong)).
0.71/1.16	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', omega__Cong)).
0.71/1.16	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', subsetI1)).
0.71/1.16	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', eqimpsubset2)).
0.71/1.16	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', eqimpsubset1)).
0.71/1.16	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', subsetI2)).
0.71/1.16	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', emptysetsubset)).
0.71/1.16	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', subsetE)).
0.71/1.16	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', subsetE2)).
0.71/1.16	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', notsubsetI)).
0.71/1.16	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', notequalI1)).
0.71/1.16	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', notequalI2)).
0.71/1.16	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', subsetRefl)).
0.71/1.16	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', subsetTrans)).
0.71/1.16	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setadjoinSub)).
0.71/1.16	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setadjoinSub2)).
0.71/1.16	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', subset2powerset)).
0.71/1.16	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setextsub)).
0.71/1.16	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', subsetemptysetimpeq)).
0.71/1.16	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', powersetI1)).
0.71/1.16	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', powersetE1)).
0.71/1.16	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', inPowerset)).
0.71/1.16	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', powersetsubset)).
0.71/1.16	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binunionIL)).
0.71/1.16	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', upairset2IR)).
0.71/1.16	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binunionIR)).
0.71/1.16	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binunionEcases)).
0.71/1.16	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binunionE)).
0.71/1.16	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binunionLsub)).
0.71/1.16	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binunionRsub)).
0.71/1.16	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binintersectI)).
0.71/1.16	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binintersectSubset5)).
0.71/1.16	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binintersectEL)).
0.71/1.16	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binintersectLsub)).
0.71/1.16	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binintersectSubset2)).
0.71/1.16	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binintersectSubset3)).
0.71/1.16	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binintersectER)).
0.71/1.16	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', disjointsetsI1)).
0.71/1.16	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binintersectRsub)).
0.71/1.16	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binintersectSubset4)).
0.71/1.16	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', binintersectSubset1)).
0.71/1.16	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', bs114d)).
0.71/1.16	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setminusI)).
0.71/1.16	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setminusEL)).
0.71/1.16	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setminusER)).
0.71/1.16	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setminusSubset2)).
0.71/1.16	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setminusERneg)).
0.71/1.16	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setminusELneg)).
0.71/1.16	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setminusILneg)).
0.71/1.16	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setminusIRneg)).
0.71/1.16	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setminusLsub)).
0.71/1.16	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setminusSubset1)).
0.71/1.16	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', symdiffE)).
0.71/1.16	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', symdiffI1)).
0.71/1.16	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', symdiffI2)).
0.71/1.16	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', symdiffIneg1)).
0.71/1.16	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', symdiffIneg2)).
0.71/1.16	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', secondinupair)).
0.71/1.16	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setukpairIL)).
0.71/1.16	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setukpairIR)).
0.71/1.16	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', kpairiskpair)).
0.71/1.16	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', kpairp)).
0.71/1.16	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', singletonsubset)).
0.71/1.16	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', singletoninpowerset)).
0.71/1.16	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', singletoninpowunion)).
0.71/1.16	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', upairset2E)).
0.71/1.16	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', upairsubunion)).
0.71/1.16	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', upairinpowunion)).
0.71/1.16	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', ubforcartprodlem1)).
0.71/1.16	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', ubforcartprodlem2)).
0.71/1.16	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', ubforcartprodlem3)).
0.71/1.16	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', cartprodpairin)).
0.71/1.16	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$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.Ks7GnS4oKC/Vampire---4.8_1947', cartprodmempair1)).
0.71/1.16	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', cartprodmempair)).
0.71/1.16	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setunionE2)).
0.71/1.16	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setunionsingleton1)).
0.71/1.16	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setunionsingleton2)).
0.71/1.16	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setunionsingleton)).
0.71/1.16	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', singletonsuniq)).
0.71/1.16	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$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.Ks7GnS4oKC/Vampire---4.8_1947', setukpairinjL1)).
0.71/1.16	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', kfstpairEq)).
0.71/1.16	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', cartprodfstin)).
0.71/1.16	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setukpairinjL2)).
0.71/1.16	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setukpairinjL)).
0.71/1.16	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setukpairinjR11)).
0.71/1.16	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setukpairinjR12)).
0.71/1.16	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', setukpairinjR1)).
0.71/1.16	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', upairequniteq)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', setukpairinjR2)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', setukpairinjR)).
0.71/1.16	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', ksndpairEq)).
0.71/1.16	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', kpairsurjEq)).
0.71/1.16	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', cartprodsndin)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', cartprodpairmemEL)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', cartprodpairmemER)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', cartprodmempaircEq)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', cartprodfstpairEq)).
0.71/1.16	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.Ks7GnS4oKC/Vampire---4.8_1947', cartprodsndpairEq)).
0.71/1.16	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', cartprodpairsurjEq)).
0.71/1.16	thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', ap2p)).
0.71/1.16	thf(ap, axiom, ((ap)=(^[X4:$i, X5:$i, X30:$i, X2:$i]:(setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30))))))), file('/export/starexec/sandbox2/tmp/tmp.Ks7GnS4oKC/Vampire---4.8_1947', ap)).
0.71/1.16	thf(c_0_208, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X649:$i]:(((in @ X649 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X649 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[ex1])).
0.71/1.16	thf(c_0_209, plain, ((singleton)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&((Z0)=(setadjoin @ X2 @ emptyset))))))), inference(fof_simplification,[status(thm)],[singleton])).
0.71/1.16	thf(c_0_210, plain, ((func)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X656:$i]:(((in @ X656 @ (dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X656 @ emptyset))))))))))), inference(fof_simplification,[status(thm)],[func])).
0.71/1.16	thf(c_0_211, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X649:$i]:(((in @ X649 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X649 @ emptyset)))))))), inference(apply_def,[status(thm)],[c_0_208, c_0_209])).
0.71/1.16	thf(c_0_212, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
0.71/1.16	thf(c_0_213, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.71/1.16	thf(c_0_214, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.71/1.16	thf(c_0_215, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.71/1.16	thf(c_0_216, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.71/1.16	thf(c_0_217, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.71/1.16	thf(c_0_218, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.71/1.16	thf(c_0_219, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.71/1.16	thf(c_0_220, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.71/1.16	thf(c_0_221, 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])).
0.71/1.16	thf(c_0_222, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.71/1.16	thf(c_0_223, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.71/1.16	thf(c_0_224, 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])).
0.71/1.16	thf(c_0_225, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.71/1.16	thf(c_0_226, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.71/1.16	thf(c_0_227, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.71/1.16	thf(c_0_228, plain, ((singletonprop)<=>![X4:$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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
0.71/1.16	thf(c_0_229, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
0.71/1.16	thf(c_0_230, plain, ((ex1I)<=>![X4:$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])).
0.71/1.16	thf(c_0_231, 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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
0.71/1.16	thf(c_0_232, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
0.71/1.16	thf(c_0_233, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
0.71/1.16	thf(c_0_234, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
0.71/1.16	thf(c_0_235, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
0.71/1.16	thf(c_0_236, plain, ((func)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X656:$i]:(((in @ X656 @ (dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X656 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_210, c_0_211]), c_0_212])).
0.71/1.16	thf(c_0_237, plain, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
0.71/1.16	thf(c_0_238, plain, ((lamProp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X31 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
0.71/1.16	thf(c_0_239, plain, ((lamp)<=>![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X33 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
0.71/1.16	thf(c_0_240, plain, ((ex1E2)<=>![X4:$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])).
0.71/1.16	thf(c_0_241, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X620:$i]:((((X6 @ X2 @ X620))&![X621:$i]:((((X6 @ X2 @ X621))=>((X620)=(X621)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_213, c_0_214])).
0.71/1.16	thf(c_0_242, plain, ((descrp)=(![X1:$i > $o]:(((?[X622:$i]:((((X1 @ X622))&![X623:$i]:((((X1 @ X623))=>((X622)=(X623)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_215, c_0_214])).
0.71/1.16	thf(c_0_243, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.71/1.16	thf(c_0_244, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.71/1.16	thf(c_0_245, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.71/1.16	thf(c_0_246, plain, ((exuE1)=(![X1:$i > $o]:(((?[X624:$i]:((((X1 @ X624))&![X625:$i]:((((X1 @ X625))=>((X624)=(X625)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_216, c_0_214])).
0.71/1.16	thf(c_0_247, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X626:$i]:((((X1 @ X626))&![X627:$i]:((((X1 @ X627))=>((X626)=(X627)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_217, c_0_214])).
0.71/1.16	thf(c_0_248, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.71/1.16	thf(c_0_249, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_218])).
0.71/1.16	thf(c_0_250, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_219, c_0_218])).
0.71/1.16	thf(c_0_251, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_218])).
0.71/1.16	thf(c_0_252, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.71/1.16	thf(c_0_253, plain, ((exuE2)=(![X1:$i > $o]:(((?[X628:$i]:((((X1 @ X628))&![X629:$i]:((((X1 @ X629))=>((X628)=(X629)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_220, c_0_214])).
0.71/1.16	thf(c_0_254, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_218])).
0.71/1.16	thf(c_0_255, 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])).
0.71/1.16	thf(c_0_256, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X630:$i]:((((X1 @ X630))&![X631:$i]:((((X1 @ X631))=>((X630)=(X631))))))))))), inference(apply_def,[status(thm)],[c_0_221, c_0_214])).
0.71/1.16	thf(c_0_257, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X632:$i]:((((X1 @ X632))&![X633:$i]:((((X1 @ X633))=>((X632)=(X633)))))))))))), inference(apply_def,[status(thm)],[c_0_222, c_0_214])).
0.71/1.16	thf(c_0_258, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X634:$i]:((((X1 @ X634))&![X635:$i]:((((X1 @ X635))=>((X634)=(X635))))))))))), inference(apply_def,[status(thm)],[c_0_223, c_0_214])).
0.71/1.16	thf(c_0_259, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X636:$i]:((((X1 @ X636))&![X637:$i]:((((X1 @ X637))=>((X636)=(X637)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_224, c_0_214])).
0.71/1.16	thf(c_0_260, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X638:$i]:((((X1 @ X638))&![X639:$i]:((((X1 @ X639))=>((X638)=(X639)))))))<=>(?[X640:$i]:((((X17 @ X640))&![X641:$i]:((((X17 @ X641))=>((X640)=(X641)))))))))))), inference(apply_def,[status(thm)],[c_0_225, c_0_214])).
0.71/1.16	thf(c_0_261, plain, ((exuEu)=(![X1:$i > $o]:(((?[X642:$i]:((((X1 @ X642))&![X643:$i]:((((X1 @ X643))=>((X642)=(X643)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_226, c_0_214])).
0.71/1.16	thf(c_0_262, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X644:$i]:((((X1 @ X644))&![X645:$i]:((((X1 @ X645))=>((X644)=(X645)))))))=>((?[X646:$i]:((((X17 @ X646))&![X647:$i]:((((X17 @ X647))=>((X646)=(X647)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_227, c_0_214])).
0.71/1.16	thf(c_0_263, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.71/1.16	thf(c_0_264, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.71/1.16	thf(c_0_265, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.71/1.16	thf(c_0_266, 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)))=>(?[X648:$i]:(((in @ X648 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(setadjoin @ X648 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_228, c_0_209])).
0.71/1.16	thf(c_0_267, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:(((?[X650:$i]:(((in @ X650 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X650 @ emptyset)))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_229, c_0_211])).
0.71/1.16	thf(c_0_268, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(?[X651:$i]:(((in @ X651 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X651 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_230, c_0_211])).
0.71/1.16	thf(c_0_269, 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)))=>(?[X652:$i]:(((in @ X652 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X652 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_231, c_0_211])).
0.71/1.16	thf(c_0_270, plain, ((kfstsingleton)=(![X18:$i]:(((iskpair @ X18)=>(?[X653:$i]:(((in @ X653 @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))&((dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X653 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_232, c_0_209])).
0.71/1.16	thf(c_0_271, axiom, ((theprop)=(![X21:$i]:(((?[X654:$i]:(((in @ X654 @ X21)&((X21)=(setadjoin @ X654 @ emptyset)))))=>(in @ (setunion @ X21) @ X21))))), inference(apply_def,[status(thm)],[theprop, c_0_209])).
0.71/1.16	thf(c_0_272, plain, ((ksndsingleton)=(![X18:$i]:(((iskpair @ X18)=>(?[X655:$i]:(((in @ X655 @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))&((dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))=(setadjoin @ X655 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_233, c_0_209])).
0.71/1.16	thf(c_0_273, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
0.71/1.16	thf(c_0_274, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
0.71/1.16	thf(c_0_275, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_234, c_0_212])).
0.71/1.16	thf(c_0_276, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
0.71/1.16	thf(c_0_277, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
0.71/1.16	thf(c_0_278, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
0.71/1.16	thf(c_0_279, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
0.71/1.16	thf(c_0_280, plain, ((funcImageSingleton)=(![X4:$i, X5:$i, X30:$i]:((((((subset @ X30 @ (cartprod @ X4 @ X5)))&![X657:$i]:(((in @ X657 @ X4)=>(?[X658:$i]:(((in @ X658 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X657 @ Z0) @ X30))))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X657 @ Z0) @ X30)))))=(setadjoin @ X658 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X4)=>(?[X659:$i]:(((in @ X659 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30)))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))=(setadjoin @ X659 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_235, c_0_209]), c_0_236])).
0.71/1.16	thf(c_0_281, plain, ((apProp)=(![X4:$i, X5:$i, X30:$i]:((((((subset @ X30 @ (cartprod @ X4 @ X5)))&![X660:$i]:(((in @ X660 @ X4)=>(?[X661:$i]:(((in @ X661 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X660 @ Z0) @ X30))))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X660 @ Z0) @ X30)))))=(setadjoin @ X661 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))) @ X5))))))), inference(apply_def,[status(thm)],[c_0_237, c_0_236])).
0.71/1.16	thf(c_0_282, axiom, ((app)=(![X4:$i, X5:$i, X30:$i]:((((((subset @ X30 @ (cartprod @ X4 @ X5)))&![X662:$i]:(((in @ X662 @ X4)=>(?[X663:$i]:(((in @ X663 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X662 @ Z0) @ X30))))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X662 @ Z0) @ X30)))))=(setadjoin @ X663 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5))))))), inference(apply_def,[status(thm)],[app, c_0_236])).
0.71/1.16	thf(c_0_283, axiom, ((infuncsetfunc)=(![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>((((subset @ X30 @ (cartprod @ X4 @ X5)))&![X664:$i]:(((in @ X664 @ X4)=>(?[X665:$i]:(((in @ X665 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X664 @ Z0) @ X30))))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X664 @ Z0) @ X30)))))=(setadjoin @ X665 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[infuncsetfunc, c_0_236])).
0.71/1.16	thf(c_0_284, axiom, ((funcinfuncset)=(![X4:$i, X5:$i, X30:$i]:((((((subset @ X30 @ (cartprod @ X4 @ X5)))&![X666:$i]:(((in @ X666 @ X4)=>(?[X667:$i]:(((in @ X667 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X666 @ Z0) @ X30))))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X666 @ Z0) @ X30)))))=(setadjoin @ X667 @ emptyset)))))))))=>(in @ X30 @ (funcSet @ X4 @ X5)))))), inference(apply_def,[status(thm)],[funcinfuncset, c_0_236])).
0.71/1.16	thf(c_0_285, plain, ((lamProp)=(![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>((((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X31 @ Z0)=(Z1))))) @ (cartprod @ X4 @ X5)))&![X668:$i]:(((in @ X668 @ X4)=>(?[X669:$i]:(((in @ X669 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X668 @ Z0) @ (dpsetconstr @ X4 @ X5 @ (^[Z1/* 19 */:$i, Z2:$i]:(((X31 @ Z1)=(Z2)))))))))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X668 @ Z0) @ (dpsetconstr @ X4 @ X5 @ (^[Z1/* 19 */:$i, Z2:$i]:(((X31 @ Z1)=(Z2))))))))))=(setadjoin @ X669 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_238, c_0_236])).
0.71/1.16	thf(c_0_286, plain, ((lamp)=(![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>((((subset @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X33 @ Z0))) @ (cartprod @ X4 @ X5)))&![X670:$i]:(((in @ X670 @ X4)=>(?[X671:$i]:(((in @ X671 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X670 @ Z0) @ (lam @ X4 @ X5 @ (^[Z1/* 17 */:$i]:(X33 @ Z1)))))))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X670 @ Z0) @ (lam @ X4 @ X5 @ (^[Z1/* 17 */:$i]:(X33 @ Z1))))))))=(setadjoin @ X671 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_239, c_0_236])).
0.71/1.16	thf(c_0_287, plain, ((lam2p)<=>![X4:$i, X5:$i, X34:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X34 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X34 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
0.71/1.16	thf(c_0_288, axiom, ((brelnall1)=(![X4:$i, X5:$i, X29:$i]:((((subset @ X29 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_212])).
0.71/1.16	thf(c_0_289, axiom, ((brelnall2)=(![X4:$i, X5:$i, X29:$i]:((((subset @ X29 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_212])).
0.71/1.16	thf(c_0_290, plain, ((ex1E2)=(![X4:$i, X1:$i > $o]:(((?[X672:$i]:(((in @ X672 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X672 @ emptyset)))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_240, c_0_211])).
0.71/1.16	thf(c_0_291, plain, ((epred1_0)<=>![X1271:$i]:(?[X1272:$i]:((((![X1273:$i]:(((in @ X1273 @ X1272)=>![X1274:$i]:(((in @ X1274 @ X1273)=>(in @ X1274 @ X1271)))))&![X1275:$i, X1276:$i]:((((in @ X1275 @ X1271)&(in @ X1276 @ X1271))=>(![X1277:$i]:(((in @ X1277 @ X1272)=>((in @ X1275 @ X1277)<=>(in @ X1276 @ X1277))))=>((X1275)=(X1276))))))&![X1278:$i, X1279:$i]:((((in @ X1278 @ X1272)&(in @ X1279 @ X1272))=>(![X1280:$i]:(((in @ X1280 @ X1278)=>(in @ X1280 @ X1279)))|![X1281:$i]:(((in @ X1281 @ X1279)=>(in @ X1281 @ X1278)))))))&![X1282:$i]:(((![X1283:$i]:(((in @ X1283 @ X1282)=>(in @ X1283 @ X1271)))&?[X1284:$i]:((in @ X1284 @ X1282)))=>?[X1285:$i, X1286:$i]:(((((in @ X1285 @ X1272)&(in @ X1286 @ X1282))&~(?[X1287:$i]:(((in @ X1287 @ X1285)&(in @ X1287 @ X1282)))))&![X1288:$i]:(((in @ X1288 @ X1272)=>(![X1289:$i]:(((in @ X1289 @ X1288)=>(in @ X1289 @ X1285)))|(in @ X1286 @ X1288)))))))))))), introduced(definition)).
0.71/1.16	thf(c_0_292, negated_conjecture, ~((![X1304:$i, X1305:$i]:((![X1306:$i]:(((in @ X1306 @ X1304)<=>(in @ X1306 @ X1305)))=>((X1304)=(X1305))))=>(![X1303:$i]:(~(in @ X1303 @ emptyset))=>(![X1300:$i, X1301:$i, X1302:$i]:(((in @ X1302 @ (setadjoin @ X1300 @ X1301))<=>(((X1302)=(X1300))|(in @ X1302 @ X1301))))=>(![X1297:$i, X1298:$i]:(((in @ X1298 @ (powerset @ X1297))<=>![X1299:$i]:(((in @ X1299 @ X1298)=>(in @ X1299 @ X1297)))))=>(![X673:$i, X674:$i]:(((in @ X674 @ (setunion @ X673))<=>?[X675:$i]:(((in @ X674 @ X675)&(in @ X675 @ X673)))))=>((in @ emptyset @ omega)=>(![X676:$i]:(((in @ X676 @ omega)=>(in @ (setadjoin @ X676 @ X676) @ omega)))=>(![X1294:$i]:((((in @ emptyset @ X1294)&![X1295:$i]:((((in @ X1295 @ omega)&(in @ X1295 @ X1294))=>(in @ (setadjoin @ X1295 @ X1295) @ X1294))))=>![X1296:$i]:(((in @ X1296 @ omega)=>(in @ X1296 @ X1294)))))=>(![X677:$i > $i > $o, X678:$i]:((![X679:$i]:(((in @ X679 @ X678)=>?[X680:$i]:(((X677 @ X679 @ X680)&![X681:$i]:(((X677 @ X679 @ X681)=>((X680)=(X681))))))))=>?[X682:$i]:(![X683:$i]:(((in @ X683 @ X682)<=>?[X684:$i]:(((in @ X684 @ X678)&(X677 @ X684 @ X683))))))))=>(![X1290:$i]:((?[X1291:$i]:((in @ X1291 @ X1290))=>?[X1292:$i]:(((in @ X1292 @ X1290)&~(?[X1293:$i]:(((in @ X1293 @ X1292)&(in @ X1293 @ X1290))))))))=>((epred1_0)=>(![X1268:$i > $o]:((?[X1269:$i]:(((X1268 @ X1269)&![X1270:$i]:(((X1268 @ X1270)=>((X1269)=(X1270))))))=>(X1268 @ (descr @ (^[Z0/* 3 */:$i]:((X1268 @ Z0)))))))=>(![X685:$i, X686:$i > $o, X687:$i]:(((in @ X687 @ X685)=>((X686 @ X687)=>(in @ X687 @ (dsetconstr @ X685 @ (^[Z0/* 3 */:$i]:((X686 @ Z0))))))))=>(![X688:$i, X689:$i > $o, X690:$i]:(((in @ X690 @ (dsetconstr @ X688 @ (^[Z0/* 3 */:$i]:((X689 @ Z0)))))=>(in @ X690 @ X688)))=>(![X1265:$i, X1266:$i > $o, X1267:$i]:(((in @ X1267 @ (dsetconstr @ X1265 @ (^[Z0/* 3 */:$i]:((X1266 @ Z0)))))=>(X1266 @ X1267)))=>(![X1260:$i > $o]:((?[X1261:$i]:(((X1260 @ X1261)&![X1262:$i]:(((X1260 @ X1262)=>((X1261)=(X1262))))))=>?[X1263:$i]:(((X1260 @ X1263)&![X1264:$i]:(((X1260 @ X1264)=>((X1263)=(X1264))))))))=>(![X691:$o, X692:$i]:(((in @ X692 @ (prop2set @ ((X691))))=>(X691)))=>(![X1258:$i]:(((in @ X1258 @ emptyset)=>![X1259:$o]:((X1259))))=>(![X693:$i]:(~(in @ X693 @ emptyset))=>(![X694:$i]:(~(in @ X694 @ emptyset))=>(![X695:$i > $o]:((?[X696:$i]:(((X695 @ X696)&![X697:$i]:(((X695 @ X697)=>((X696)=(X697))))))=>?[X698:$i]:((X695 @ X698))))=>(![X1254:$i, X1255:$i]:((![X1256:$i]:(((in @ X1256 @ X1254)=>(in @ X1256 @ X1255)))=>(![X1257:$i]:(((in @ X1257 @ X1255)=>(in @ X1257 @ X1254)))=>((X1254)=(X1255)))))=>(![X1252:$i]:((![X1253:$i]:(~(in @ X1253 @ X1252))=>((X1252)=(emptyset))))=>(![X699:$i]:((![X700:$i]:(~(in @ X700 @ X699))=>((X699)=(emptyset))))=>(![X1249:$i, X1250:$i > $o, X1251:$i]:(((in @ X1251 @ X1249)=>((in @ X1251 @ (dsetconstr @ X1249 @ (^[Z0/* 3 */:$i]:((X1250 @ Z0)))))<=>(X1250 @ X1251))))=>(![X1247:$i]:((((X1247)!=(emptyset))=>?[X1248:$i]:((in @ X1248 @ X1247))))=>(![X1244:$i, X1245:$i > $o, X1246:$i]:(((in @ X1246 @ X1244)=>((X1245 @ X1246)=>((dsetconstr @ X1244 @ (^[Z0/* 3 */:$i]:((X1245 @ Z0))))!=(emptyset)))))=>(![X1242:$i]:((?[X1243:$i]:((in @ X1243 @ X1242))=>((X1242)!=(emptyset))))=>(![X1240:$i, X1241:$i]:((in @ X1240 @ (setadjoin @ X1240 @ X1241)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1237:$i, X1238:$i, X1239:$i]:(((in @ X1239 @ X1238)=>(in @ X1239 @ (setadjoin @ X1237 @ X1238))))=>(![X701:$i, X702:$i, X703:$i]:(((in @ X703 @ (setadjoin @ X701 @ X702))=>![X704:$o]:(((((X703)=(X701))=>(X704))=>(((in @ X703 @ X702)=>(X704))=>(X704))))))=>(![X1234:$i, X1235:$i, X1236:$i]:(((in @ X1236 @ (setadjoin @ X1234 @ X1235))=>(((X1236)=(X1234))|(in @ X1236 @ X1235))))=>(![X705:$i]:(((dsetconstr @ X705 @ (^[Z0/* 3 */:$i]:(($true))))=(X705)))=>(![X1231:$i, X1232:$i]:((![X1233:$i]:(((in @ X1233 @ X1232)=>(in @ X1233 @ X1231)))=>(in @ X1232 @ (powerset @ X1231))))=>(![X1230:$i]:((in @ emptyset @ (powerset @ X1230)))=>(![X706:$i]:((in @ emptyset @ (powerset @ X706)))=>(![X1227:$i, X1228:$i, X1229:$i]:(((in @ X1228 @ (powerset @ X1227))=>((in @ X1229 @ X1228)=>(in @ X1229 @ X1227))))=>(![X1224:$i, X1225:$i, X1226:$i]:(((in @ X1225 @ X1226)=>((in @ X1226 @ X1224)=>(in @ X1225 @ (setunion @ X1224)))))=>(![X1220:$i, X1221:$i]:(((in @ X1221 @ (setunion @ X1220))=>![X1222:$o]:((![X1223:$i]:(((in @ X1221 @ X1223)=>((in @ X1223 @ X1220)=>(X1222))))=>(X1222)))))=>(![X1218:$i, X1219:$i]:(((in @ X1219 @ X1218)=>(in @ X1219 @ (powerset @ (setunion @ X1218)))))=>(![X1213:$i > $o]:((?[X1214:$i]:(((X1213 @ X1214)&![X1215:$i]:(((X1213 @ X1215)=>((X1214)=(X1215))))))=>?[X1216:$i]:(![X1217:$i]:(((X1213 @ X1217)<=>((X1217)=(X1216)))))))=>(![X1211:$i]:((((X1211)!=(emptyset))=>?[X1212:$i]:((in @ X1212 @ X1211))))=>(![X707:$i, X708:$i]:(((in @ X707 @ (setadjoin @ X708 @ emptyset))=>((X707)=(X708))))=>(![X709:$i, X710:$i]:((((X709)!=(X710))=>~(in @ X710 @ (setadjoin @ X709 @ emptyset))))=>(![X711:$i, X712:$i]:((((X711)=(X712))=>(in @ X711 @ (setadjoin @ X712 @ emptyset))))=>(![X1209:$i, X1210:$i]:(((in @ X1209 @ (setadjoin @ X1210 @ emptyset))=>(in @ X1210 @ (setadjoin @ X1209 @ emptyset))))=>(![X713:$i, X714:$i, X715:$i]:(((in @ X715 @ (setadjoin @ X713 @ (setadjoin @ X714 @ emptyset)))=>(((X715)=(X713))|((X715)=(X714)))))=>(![X1207:$i, X1208:$i]:((in @ X1207 @ (setadjoin @ X1207 @ (setadjoin @ X1208 @ emptyset))))=>(![X1205:$i, X1206:$i]:((in @ X1206 @ (setadjoin @ X1205 @ (setadjoin @ X1206 @ emptyset))))=>(![X716:$i, X717:$i > $o]:((?[X718:$i]:(((in @ X718 @ X716)&(X717 @ X718)))=>((dsetconstr @ X716 @ (^[Z0/* 3 */:$i]:((X717 @ Z0))))!=(emptyset))))=>(![X1203:$i > $o, X1204:$i]:(((in @ X1204 @ emptyset)=>(X1203 @ X1204)))=>(![X719:$i, X720:$i > $o]:((~(![X721:$i]:(((in @ X721 @ X719)=>(X720 @ X721))))=>?[X722:$i]:(((in @ X722 @ X719)&~(X720 @ X722)))))=>(![X723:$i, X724:$i > $o]:((![X725:$i]:(((in @ X725 @ X723)=>~(X724 @ X725)))=>~(?[X726:$i]:(((in @ X726 @ X723)&(X724 @ X726))))))=>(![X1199:$i, X1200:$i > $o]:((~(?[X1201:$i]:(((in @ X1201 @ X1199)&(X1200 @ X1201))))=>![X1202:$i]:(((in @ X1202 @ X1199)=>~(X1200 @ X1202)))))=>(![X727:$i, X728:$i > $o]:((?[X729:$i]:(((in @ X729 @ X727)&~(X728 @ X729)))=>~(![X730:$i]:(((in @ X730 @ X727)=>(X728 @ X730))))))=>(![X1198:$o]:(((X1198)=>(in @ emptyset @ (prop2set @ ((X1198))))))=>(![X1197:$o]:(((X1197)=>(set2prop @ (prop2set @ ((X1197))))))=>(![X1193:$i, X1194:$i > $o]:((~(?[X1195:$i]:(((in @ X1195 @ X1193)&(X1194 @ X1195))))=>![X1196:$i]:(((in @ X1196 @ X1193)=>~(X1194 @ X1196)))))=>(![X1189:$i, X1190:$i > $o]:((~(![X1191:$i]:(((in @ X1191 @ X1189)=>(X1190 @ X1191))))=>?[X1192:$i]:(((in @ X1192 @ X1189)&~(X1190 @ X1192)))))=>(![X1184:$i > $o]:((?[X1185:$i]:(((X1184 @ X1185)&![X1186:$i]:(((X1184 @ X1186)=>((X1185)=(X1186))))))=>?[X1187:$i]:(((X1184 @ X1187)&![X1188:$i]:(((X1184 @ X1188)=>((X1187)=(X1188))))))))=>(![X1178:$i > $o]:((?[X1179:$i]:((X1178 @ X1179))=>(![X1180:$i, X1181:$i]:(((X1178 @ X1180)=>((X1178 @ X1181)=>((X1180)=(X1181)))))=>?[X1182:$i]:(((X1178 @ X1182)&![X1183:$i]:(((X1178 @ X1183)=>((X1182)=(X1183)))))))))=>(![X1173:$i > $o]:((?[X1174:$i]:(![X1175:$i]:(((X1173 @ X1175)<=>((X1175)=(X1174)))))=>?[X1176:$i]:(((X1173 @ X1176)&![X1177:$i]:(((X1173 @ X1177)=>((X1176)=(X1177))))))))=>(![X731:$i, X732:$i]:((((X731)=(X732))=>![X733:$i, X734:$i]:((((X733)=(X734))=>((in @ X733 @ X731)=>(in @ X734 @ X732))))))=>(![X735:$i, X736:$i]:((((X735)=(X736))=>![X737:$i, X738:$i]:((((X737)=(X738))=>((in @ X737 @ X735)<=>(in @ X738 @ X736))))))=>(![X1168:$i > $o]:((?[X1169:$i]:(((X1168 @ X1169)&![X1170:$i]:(((X1168 @ X1170)=>((X1169)=(X1170))))))=>![X1171:$i, X1172:$i]:(((X1168 @ X1171)=>((X1168 @ X1172)=>((X1171)=(X1172)))))))=>(![X1160:$i > $o, X1161:$i > $o]:((![X1162:$i, X1163:$i]:((((X1162)=(X1163))=>((X1160 @ X1162)<=>(X1161 @ X1163))))=>(?[X1164:$i]:(((X1160 @ X1164)&![X1165:$i]:(((X1160 @ X1165)=>((X1164)=(X1165))))))<=>?[X1166:$i]:(((X1161 @ X1166)&![X1167:$i]:(((X1161 @ 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X999:$i]:(((in @ X999 @ X997)=>![X1000:$i]:(((in @ X1000 @ X998)=>((kfst @ (kpair @ X999 @ X1000))=(X999))))))=>(![X993:$i, X994:$i, X995:$i]:(((in @ X995 @ X993)=>![X996:$i]:(((in @ X996 @ X994)=>((ksnd @ (kpair @ X995 @ X996))=(X996))))))=>(![X889:$i, X890:$i, X891:$i]:(((in @ X891 @ (cartprod @ X889 @ X890))=>((kpair @ (kfst @ X891) @ (ksnd @ X891))=(X891))))=>(![X988:$i, X989:$i, X990:$i > $i > $o, X991:$i]:(((in @ X991 @ X988)=>![X992:$i]:(((in @ X992 @ X989)=>((X990 @ X991 @ X992)=>(in @ (kpair @ X991 @ X992) @ (dpsetconstr @ X988 @ X989 @ (^[Z0/* 19 */:$i, Z1:$i]:((X990 @ Z0 @ Z1))))))))))=>(![X985:$i, X986:$i, X987:$i > $i > $o]:((subset @ (dpsetconstr @ X985 @ X986 @ (^[Z0/* 19 */:$i, Z1:$i]:((X987 @ Z0 @ Z1)))) @ (cartprod @ X985 @ X986)))=>(![X982:$i, X983:$i, X984:$i > $i > $o]:((subset @ (dpsetconstr @ X982 @ X983 @ (^[Z0/* 19 */:$i, Z1:$i]:((X984 @ Z0 @ Z1)))) @ (cartprod @ X982 @ X983)))=>(![X977:$i, X978:$i, X979:$i > $i > $o, X980:$i]:(((in @ X980 @ X977)=>![X981:$i]:(((in @ X981 @ X978)=>((in @ (kpair @ X980 @ X981) @ (dpsetconstr @ X977 @ X978 @ (^[Z0/* 19 */:$i, Z1:$i]:((X979 @ Z0 @ Z1)))))=>(X979 @ X980 @ X981))))))=>(![X972:$i, X973:$i, X974:$i > $i > $o, X975:$i, X976:$i]:(((in @ (kpair @ X975 @ X976) @ (dpsetconstr @ X972 @ X973 @ (^[Z0/* 19 */:$i, Z1:$i]:((X974 @ Z0 @ Z1)))))=>(in @ X975 @ X972)))=>(![X967:$i, X968:$i, X969:$i > $i > $o, X970:$i, X971:$i]:(((in @ (kpair @ X970 @ X971) @ (dpsetconstr @ X967 @ X968 @ (^[Z0/* 19 */:$i, Z1:$i]:((X969 @ Z0 @ Z1)))))=>(in @ X971 @ X968)))=>(![X962:$i, X963:$i, X964:$i > $i > $o, X965:$i, X966:$i]:(((in @ (kpair @ X965 @ X966) @ (dpsetconstr @ X962 @ X963 @ (^[Z0/* 19 */:$i, Z1:$i]:((X964 @ Z0 @ Z1)))))=>(X964 @ X965 @ X966)))=>(![X892:$i, X893:$i, X894:$i]:((((subset @ X894 @ (cartprod @ X892 @ X893))&![X895:$i]:(((in @ X895 @ X892)=>?[X896:$i]:(((in @ X896 @ (dsetconstr @ X893 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X895 @ Z0) @ X894)))))&((dsetconstr @ X893 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X895 @ Z0) @ X894))))=(setadjoin @ X896 @ emptyset)))))))=>![X897:$i]:(((in @ X897 @ X892)=>?[X898:$i]:(((in @ X898 @ (dsetconstr @ X893 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X897 @ Z0) @ X894)))))&((dsetconstr @ X893 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X897 @ Z0) @ X894))))=(setadjoin @ X898 @ emptyset))))))))=>(![X899:$i, X900:$i, X901:$i]:((((subset @ X901 @ (cartprod @ X899 @ X900))&![X902:$i]:(((in @ X902 @ X899)=>?[X903:$i]:(((in @ X903 @ (dsetconstr @ X900 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X902 @ Z0) @ X901)))))&((dsetconstr @ X900 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X902 @ Z0) @ X901))))=(setadjoin @ X903 @ emptyset)))))))=>![X904:$i]:(((in @ X904 @ X899)=>(in @ (setunion @ (dsetconstr @ X900 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X904 @ Z0) @ X901))))) @ X900)))))=>(![X905:$i, X906:$i, X907:$i]:((((subset @ X907 @ (cartprod @ X905 @ X906))&![X908:$i]:(((in @ X908 @ X905)=>?[X909:$i]:(((in @ X909 @ (dsetconstr @ X906 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X908 @ Z0) @ X907)))))&((dsetconstr @ X906 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X908 @ Z0) @ X907))))=(setadjoin @ X909 @ emptyset)))))))=>![X910:$i]:(((in @ X910 @ X905)=>(in @ (ap @ X905 @ X906 @ X907 @ X910) @ X906)))))=>(![X957:$i, X958:$i, X959:$i]:(((in @ X959 @ (funcSet @ X957 @ X958))=>((subset @ X959 @ (cartprod @ X957 @ X958))&![X960:$i]:(((in @ X960 @ X957)=>?[X961:$i]:(((in @ X961 @ (dsetconstr @ X958 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X960 @ Z0) @ X959)))))&((dsetconstr @ X958 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X960 @ Z0) @ X959))))=(setadjoin @ X961 @ emptyset)))))))))=>(![X953:$i, X954:$i, X955:$i]:(((in @ X955 @ (funcSet @ X953 @ X954))=>![X956:$i]:(((in @ X956 @ X953)=>(in @ (ap @ X953 @ X954 @ X955 @ X956) @ X954)))))=>(![X948:$i, X949:$i, X950:$i]:((((subset @ X950 @ (cartprod @ X948 @ X949))&![X951:$i]:(((in @ X951 @ X948)=>?[X952:$i]:(((in @ X952 @ (dsetconstr @ X949 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X951 @ Z0) @ X950)))))&((dsetconstr @ X949 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X951 @ Z0) @ X950))))=(setadjoin @ X952 @ emptyset)))))))=>(in @ X950 @ (funcSet @ X948 @ X949))))=>(![X942:$i, X943:$i, X944:$i > $i]:((![X945:$i]:(((in @ X945 @ X942)=>(in @ (X944 @ X945) @ X943)))=>((subset @ (dpsetconstr @ X942 @ X943 @ (^[Z0/* 3 */:$i]:($eq @ (X944 @ Z0)))) @ (cartprod @ X942 @ X943))&![X946:$i]:(((in @ X946 @ X942)=>?[X947:$i]:(((in @ X947 @ (dsetconstr @ X943 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X946 @ Z0) @ (dpsetconstr @ X942 @ X943 @ (^[Z1/* 3 */:$i]:($eq @ (X944 @ Z1)))))))))&((dsetconstr @ X943 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X946 @ Z0) @ (dpsetconstr @ X942 @ X943 @ (^[Z1/* 3 */:$i]:($eq @ (X944 @ Z1))))))))=(setadjoin @ X947 @ emptyset)))))))))=>(![X936:$i, X937:$i, X938:$i > $i]:((![X939:$i]:(((in @ X939 @ X936)=>(in @ (X938 @ X939) @ X937)))=>((subset @ (lam @ X936 @ X937 @ X938) @ (cartprod @ X936 @ X937))&![X940:$i]:(((in @ X940 @ X936)=>?[X941:$i]:(((in @ X941 @ (dsetconstr @ X937 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X940 @ Z0) @ (lam @ X936 @ X937 @ X938))))))&((dsetconstr @ X937 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X940 @ Z0) @ (lam @ X936 @ X937 @ X938)))))=(setadjoin @ X941 @ emptyset)))))))))=>(![X911:$i, X912:$i, X913:$i > $i]:((![X914:$i]:(((in @ X914 @ X911)=>(in @ (X913 @ X914) @ X912)))=>(in @ (lam @ X911 @ X912 @ X913) @ (funcSet @ X911 @ X912))))=>(![X915:$i, X916:$i, X917:$i]:(((subset @ X917 @ (cartprod @ X915 @ X916))=>![X918:$i > $o]:((![X919:$i]:(((in @ X919 @ X915)=>![X920:$i]:(((in @ X920 @ X916)=>((in @ (kpair @ X919 @ X920) @ X917)=>(X918 @ (kpair @ X919 @ X920)))))))=>![X921:$i]:(((in @ X921 @ X917)=>(X918 @ X921)))))))=>(![X929:$i, X930:$i, X931:$i]:(((subset @ X931 @ (cartprod @ X929 @ X930))=>![X932:$i > $o]:((![X933:$i]:(((in @ X933 @ X929)=>![X934:$i]:(((in @ X934 @ X930)=>((in @ (kpair @ X933 @ X934) @ X931)=>(X932 @ (kpair @ X933 @ X934)))))))=>![X935:$i]:(((in @ X935 @ X931)=>(X932 @ X935)))))))=>(![X922:$i, X923:$i > $o]:((?[X924:$i]:(((in @ X924 @ (dsetconstr @ X922 @ (^[Z0/* 3 */:$i]:((X923 @ Z0)))))&((dsetconstr @ X922 @ (^[Z0/* 3 */:$i]:((X923 @ Z0))))=(setadjoin @ X924 @ emptyset))))=>![X925:$i]:(((in @ X925 @ X922)=>![X926:$i]:(((in @ X926 @ X922)=>((X923 @ X925)=>((X923 @ X926)=>((X925)=(X926))))))))))=>![X4:$i, X5:$i, X30:$i]:((((subset @ X30 @ (cartprod @ X4 @ X5))&![X927:$i]:(((in @ X927 @ X4)=>?[X928:$i]:(((in @ X928 @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X927 @ Z0) @ X30)))))&((dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X927 @ Z0) @ X30))))=(setadjoin @ X928 @ emptyset)))))))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[funcGraphProp1]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_241]), foundationAx]), wellorderingAx]), c_0_242]), c_0_243]), c_0_244]), c_0_245]), c_0_246]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_247]), setext]), emptyI]), noeltsimpempty]), c_0_248]), c_0_249]), c_0_250]), c_0_251]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_252]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_253]), c_0_254]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_255]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_256]), c_0_257]), c_0_258]), inCongP]), in__Cong]), c_0_259]), c_0_260]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_261]), c_0_262]), c_0_263]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_264]), c_0_265]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), kpairiskpair]), kpairp]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), cartprodmempair]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_266]), c_0_267]), c_0_268]), c_0_269]), singletonsuniq]), setukpairinjL1]), c_0_270]), c_0_271]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_272]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_273]), c_0_274]), c_0_275]), c_0_276]), c_0_277]), c_0_278]), c_0_279]), c_0_236]), c_0_280]), c_0_281]), c_0_282]), c_0_283]), ap2p]), c_0_284]), c_0_285]), c_0_286]), c_0_287]), c_0_288]), c_0_289]), c_0_290])])]), c_0_291])).
0.71/1.16	thf(c_0_293, plain, ![X1307:$i, X1308:$i, X1309:$i, X1310:$i]:(((ap @ X1307 @ X1308 @ X1309 @ X1310)=(setunion @ (dsetconstr @ X1308 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1310 @ Z0) @ X1309))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ap])])).
0.71/1.16	thf(c_0_294, negated_conjecture, ![X1321:$i, X1322:$i, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i, X1334:$i, X1335:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1343:$i, X1344:$i > $i > $o, X1345:$i, X1347:$i, X1350:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1357:$i, X1358:$i > $o, X1359:$i, X1361:$i, X1362:$i > $o, X1363:$i, X1364:$i, X1365:$i > $o, X1366:$i, X1367:$i, X1368:$i > $o, X1369:$i, X1370:$i > $o, X1371:$i, X1374:$i, X1375:$o, X1376:$i, X1377:$i, X1378:$o, X1379:$i, X1380:$i, X1381:$i > $o, X1382:$i, X1385:$i, X1386:$i, X1389:$i, X1391:$i, X1393:$i, X1394:$i > $o, X1395:$i, X1396:$i, X1398:$i, X1399:$i > $o, X1400:$i, X1401:$i, X1402:$i, X1403:$i, X1404:$i, X1405:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i, X1410:$i, X1411:$o, X1412:$i, X1413:$i, X1414:$i, X1415:$i, X1416:$i, X1417:$i, X1419:$i, X1420:$i, X1421:$i, X1422:$i, X1423:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$o, X1431:$i, X1432:$i, X1433:$i > $o, X1434:$i, X1437:$i, X1438:$i, X1439:$i, X1441:$i, X1442:$i, X1443:$i, X1444:$i, X1445:$i, X1446:$i, X1447:$i, X1448:$i, X1449:$i, X1450:$i, X1451:$i, X1452:$i, X1453:$i, X1454:$i, X1455:$i, X1456:$i, X1457:$i > $o, X1458:$i, X1459:$i > $o, X1460:$i, X1461:$i, X1462:$i > $o, X1463:$i, X1465:$i, X1466:$i > $o, X1468:$i, X1469:$i, X1470:$i > $o, X1472:$i, X1473:$i, X1474:$i > $o, X1475:$i, X1477:$o, X1478:$o, X1479:$i, X1480:$i > $o, X1482:$i, X1483:$i, X1484:$i > $o, X1485:$i, X1487:$i > $o, X1488:$i, X1491:$i, X1492:$i > $o, X1493:$i, X1497:$i, X1498:$i > $o, X1499:$i, X1502:$i, X1503:$i, X1504:$i, X1505:$i, X1506:$i, X1507:$i, X1508:$i, X1509:$i, X1510:$i, X1511:$i > $o, X1512:$i, X1514:$i, X1515:$i, X1516:$i > $o, X1517:$i > $o, X1520:$i, X1523:$i, X1524:$i, X1527:$i, X1528:$i, X1529:$i, X1530:$i, X1531:$i, X1532:$i, X1533:$i, X1534:$i, X1535:$i, X1536:$i > $o, X1537:$i, X1539:$i, X1540:$i, X1541:$i > $o, X1542:$i > $o, X1545:$i, X1547:$i, X1549:$i, X1550:$i, X1551:$i > $o, X1552:$i > $o, X1555:$i, X1556:$i, X1558:$i, X1559:$i, X1560:$i, X1561:$i, X1562:$i, X1563:$i, X1565:$i, X1566:$i, X1567:$i, X1568:$i, X1569:$i, X1570:$i, X1571:$i, X1572:$i, X1573:$i, X1574:$i, X1575:$i, X1576:$i, X1577:$i, X1578:$i, X1579:$i, X1580:$i, X1581:$i, X1582:$i, X1583:$i, X1584:$i, X1585:$i, X1586:$i, X1587:$i, X1588:$i, X1589:$i, X1590:$i, X1591:$i, X1592:$i, X1593:$i, X1594:$i, X1595:$i, X1596:$i, X1597:$i, X1598:$i, X1599:$i, X1600:$i, X1601:$i, X1602:$i > $o, X1603:$i, X1604:$i > $o, X1605:$i, X1606:$i, X1607:$i, X1608:$i, X1609:$i, X1610:$i, X1611:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$i, X1616:$o, X1617:$i, X1618:$i, X1619:$i, X1620:$i, X1621:$i, X1622:$i, X1623:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i, X1629:$i, X1630:$i, X1631:$i, X1632:$i, X1633:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1638:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$i, X1645:$i, X1646:$i, X1647:$i, X1648:$i, X1649:$i, X1650:$i, X1651:$i, X1652:$i, X1653:$i, X1654:$i, X1655:$i, X1656:$i, X1657:$i, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$i, X1665:$i, X1666:$i, X1667:$i, X1668:$i, X1669:$i, X1670:$i, X1671:$i, X1672:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i, X1679:$i, X1680:$i, X1681:$i, X1682:$i, X1683:$i, X1684:$o, X1685:$i, X1686:$i, X1687:$i, X1688:$i, X1689:$i, X1690:$i, X1691:$i, X1692:$i, X1693:$i, X1694:$i, X1695:$i, X1696:$i, X1697:$i, X1698:$i, X1699:$i, X1700:$i, X1701:$i, X1702:$i, X1703:$i, X1704:$i, X1705:$i, X1706:$i, X1707:$i, X1708:$i, X1709:$i, X1710:$i, X1711:$i, X1712:$i, X1713:$i, X1714:$i, X1715:$i, X1716:$i, X1717:$i, X1718:$i, X1719:$i, X1720:$i, X1721:$i, X1722:$i, X1723:$i, X1724:$i, X1725:$i, X1726:$i, X1727:$i, X1728:$i, X1729:$i, X1730:$i, X1731:$i, X1732:$i, X1733:$i, X1734:$i, X1735:$i, X1736:$i, X1737:$i, X1738:$i, X1739:$i, X1740:$i, X1741:$i, X1742:$i, X1743:$i, X1746:$i, X1747:$i, X1748:$i, X1749:$i, X1750:$i, X1752:$i, X1753:$i, X1754:$i, X1755:$i, X1756:$i > $o, X1759:$i, X1761:$i, X1762:$i > $o, X1763:$i, X1765:$i, X1766:$i > $o, X1767:$i, X1770:$i, X1771:$i > $o, X1774:$i, X1776:$i, X1777:$i, X1778:$i, X1779:$i, X1780:$i, X1781:$i, X1783:$i, X1784:$i, X1785:$i, X1786:$i, X1787:$i, X1788:$i, X1789:$i, X1790:$i, X1791:$i, X1792:$i, X1793:$i, X1794:$i, X1795:$i, X1796:$i, X1797:$i, X1798:$i, X1799:$i, X1800:$i, X1801:$i, X1802:$i, X1803:$i, X1804:$i, X1805:$i, X1806:$i, X1807:$i, X1808:$i, X1809:$i, X1810:$i, X1811:$i, X1812:$i, X1813:$i, X1814:$i, X1815:$i, X1816:$i, X1817:$i, X1819:$i, X1820:$i, X1821:$i, X1822:$i, X1823:$i, X1824:$i, X1825:$i, X1826:$i, X1827:$i, X1828:$i, X1829:$i, X1830:$i, X1831:$i, X1832:$i, X1833:$i, X1834:$i, X1835:$i, X1836:$i, X1837:$i, X1838:$i, X1839:$i, X1840:$i, X1841:$i, X1842:$i, X1843:$i, X1844:$i, X1845:$i, X1846:$i, X1847:$i, X1848:$i, X1849:$i, X1850:$i > $i > $o, X1851:$i, X1852:$i, X1853:$i, X1854:$i, X1855:$i > $i > $o, X1856:$i, X1857:$i, X1858:$i > $i > $o, X1859:$i, X1860:$i, X1861:$i > $i > $o, X1862:$i, X1863:$i, X1864:$i, X1865:$i, X1866:$i > $i > $o, X1867:$i, X1868:$i, X1869:$i, X1870:$i, X1871:$i > $i > $o, X1872:$i, X1873:$i, X1874:$i, X1875:$i, X1876:$i > $i > $o, X1877:$i, X1878:$i, X1879:$i, X1880:$i, X1881:$i, X1883:$i, X1884:$i, X1886:$i, X1887:$i, X1888:$i, X1890:$i, X1891:$i, X1892:$i, X1893:$i, X1894:$i, X1896:$i, X1897:$i, X1898:$i, X1899:$i, X1900:$i, X1901:$i, X1903:$i, X1904:$i, X1905:$i, X1906:$i, X1907:$i, X1908:$i, X1909:$i, X1911:$i, X1912:$i, X1913:$i, X1914:$i > $i, X1916:$i, X1918:$i, X1919:$i, X1920:$i > $i, X1922:$i, X1924:$i, X1925:$i, X1926:$i > $i, X1928:$i, X1929:$i, X1930:$i, X1931:$i > $o, X1934:$i, X1935:$i, X1936:$i, X1937:$i, X1938:$i > $o, X1941:$i, X1942:$i, X1943:$i > $o, X1944:$i, X1945:$i, X1946:$i, X1950:$i]:((((~(in @ (esk1_2 @ X1321 @ X1322) @ X1321)|~(in @ (esk1_2 @ X1321 @ X1322) @ X1322)|((X1321)=(X1322)))&((in @ (esk1_2 @ X1321 @ X1322) @ X1321)|(in @ (esk1_2 @ X1321 @ X1322) @ X1322)|((X1321)=(X1322))))&(~(in @ X1324 @ emptyset)&(((~(in @ X1327 @ (setadjoin @ X1325 @ X1326))|(((X1327)=(X1325))|(in @ X1327 @ X1326)))&((((X1327)!=(X1325))|(in @ X1327 @ (setadjoin @ X1325 @ X1326)))&(~(in @ X1327 @ X1326)|(in @ X1327 @ (setadjoin @ X1325 @ X1326)))))&(((~(in @ X1329 @ (powerset @ X1328))|(~(in @ X1330 @ X1329)|(in @ X1330 @ X1328)))&(((in @ (esk2_2 @ X1331 @ X1332) @ X1332)|(in @ X1332 @ (powerset @ X1331)))&(~(in @ (esk2_2 @ X1331 @ X1332) @ X1331)|(in @ X1332 @ (powerset @ X1331)))))&(((((in @ X1335 @ (esk3_2 @ X1334 @ X1335))|~(in @ X1335 @ (setunion @ X1334)))&((in @ (esk3_2 @ X1334 @ X1335) @ X1334)|~(in @ X1335 @ (setunion @ X1334))))&(~(in @ X1338 @ X1339)|~(in @ X1339 @ X1337)|(in @ X1338 @ (setunion @ X1337))))&((in @ emptyset @ omega)&((~(in @ X1340 @ omega)|(in @ (setadjoin @ X1340 @ X1340) @ omega))&(((((in @ (esk4_1 @ X1341) @ omega)|~(in @ emptyset @ X1341)|(~(in @ X1343 @ omega)|(in @ X1343 @ X1341)))&((in @ (esk4_1 @ X1341) @ X1341)|~(in @ emptyset @ X1341)|(~(in @ X1343 @ omega)|(in @ X1343 @ X1341))))&(~(in @ (setadjoin @ (esk4_1 @ X1341) @ (esk4_1 @ X1341)) @ X1341)|~(in @ emptyset @ X1341)|(~(in @ X1343 @ omega)|(in @ X1343 @ X1341))))&((((((in @ (esk8_3 @ X1344 @ X1345 @ X1350) @ X1345)|~(in @ X1350 @ (esk7_2 @ X1344 @ X1345))|(in @ (esk5_2 @ X1344 @ X1345) @ X1345))&((X1344 @ (esk8_3 @ X1344 @ X1345 @ X1350) @ X1350)|~(in @ X1350 @ (esk7_2 @ X1344 @ X1345))|(in @ (esk5_2 @ X1344 @ X1345) @ X1345)))&(~(in @ X1353 @ X1345)|~(X1344 @ X1353 @ X1352)|(in @ X1352 @ (esk7_2 @ X1344 @ X1345))|(in @ (esk5_2 @ X1344 @ X1345) @ X1345)))&(((((in @ (esk8_3 @ X1344 @ X1345 @ X1350) @ X1345)|~(in @ X1350 @ (esk7_2 @ X1344 @ X1345))|((X1344 @ (esk5_2 @ X1344 @ X1345) @ (esk6_3 @ X1344 @ X1345 @ X1347))|~(X1344 @ (esk5_2 @ X1344 @ X1345) @ X1347)))&((X1344 @ (esk8_3 @ X1344 @ X1345 @ X1350) @ X1350)|~(in @ X1350 @ (esk7_2 @ X1344 @ X1345))|((X1344 @ (esk5_2 @ X1344 @ X1345) @ (esk6_3 @ X1344 @ X1345 @ X1347))|~(X1344 @ (esk5_2 @ X1344 @ X1345) @ X1347))))&(~(in @ X1353 @ X1345)|~(X1344 @ X1353 @ X1352)|(in @ X1352 @ (esk7_2 @ X1344 @ X1345))|((X1344 @ (esk5_2 @ X1344 @ X1345) @ (esk6_3 @ X1344 @ X1345 @ X1347))|~(X1344 @ (esk5_2 @ X1344 @ X1345) @ X1347))))&((((in @ (esk8_3 @ X1344 @ X1345 @ X1350) @ X1345)|~(in @ X1350 @ (esk7_2 @ X1344 @ X1345))|(((X1347)!=(esk6_3 @ X1344 @ X1345 @ X1347))|~(X1344 @ (esk5_2 @ X1344 @ X1345) @ X1347)))&((X1344 @ (esk8_3 @ X1344 @ X1345 @ X1350) @ X1350)|~(in @ X1350 @ (esk7_2 @ X1344 @ X1345))|(((X1347)!=(esk6_3 @ X1344 @ X1345 @ X1347))|~(X1344 @ (esk5_2 @ X1344 @ X1345) @ X1347))))&(~(in @ X1353 @ X1345)|~(X1344 @ X1353 @ X1352)|(in @ X1352 @ (esk7_2 @ X1344 @ X1345))|(((X1347)!=(esk6_3 @ X1344 @ X1345 @ X1347))|~(X1344 @ (esk5_2 @ X1344 @ X1345) @ X1347))))))&((((in @ (esk9_1 @ X1354) @ X1354)|~(in @ X1355 @ X1354))&(~(in @ X1357 @ (esk9_1 @ X1354))|~(in @ X1357 @ X1354)|~(in @ X1355 @ X1354)))&((epred1_0)&((((X1358 @ (esk10_2 @ X1358 @ X1359))|~(X1358 @ X1359)|(X1358 @ (descr @ (^[Z0/* 3 */:$i]:((X1358 @ Z0))))))&(((X1359)!=(esk10_2 @ X1358 @ X1359))|~(X1358 @ X1359)|(X1358 @ (descr @ (^[Z0/* 3 */:$i]:((X1358 @ Z0)))))))&((~(in @ X1363 @ X1361)|(~(X1362 @ X1363)|(in @ X1363 @ (dsetconstr @ X1361 @ (^[Z0/* 3 */:$i]:((X1362 @ Z0)))))))&((~(in @ X1366 @ (dsetconstr @ X1364 @ (^[Z0/* 3 */:$i]:((X1365 @ Z0)))))|(in @ X1366 @ X1364))&((~(in @ X1369 @ (dsetconstr @ X1367 @ (^[Z0/* 3 */:$i]:((X1368 @ Z0)))))|(X1368 @ X1369))&(((((X1370 @ (esk12_1 @ X1370))|((X1370 @ (esk11_2 @ X1370 @ X1371))|~(X1370 @ X1371)))&(~(X1370 @ X1374)|((esk12_1 @ X1370)=(X1374))|((X1370 @ (esk11_2 @ X1370 @ X1371))|~(X1370 @ X1371))))&(((X1370 @ (esk12_1 @ X1370))|(((X1371)!=(esk11_2 @ X1370 @ X1371))|~(X1370 @ X1371)))&(~(X1370 @ X1374)|((esk12_1 @ X1370)=(X1374))|(((X1371)!=(esk11_2 @ X1370 @ X1371))|~(X1370 @ X1371)))))&((~(in @ X1376 @ (prop2set @ ((X1375))))|(X1375))&((~(in @ X1377 @ emptyset)|(X1378))&(~(in @ X1379 @ emptyset)&(~(in @ X1380 @ emptyset)&((((X1381 @ (esk13_2 @ X1381 @ X1382))|~(X1381 @ X1382)|(X1381 @ (esk14_1 @ X1381)))&(((X1382)!=(esk13_2 @ X1381 @ X1382))|~(X1381 @ X1382)|(X1381 @ (esk14_1 @ X1381))))&(((((in @ (esk16_2 @ X1385 @ X1386) @ X1386)|((X1385)=(X1386))|(in @ (esk15_2 @ X1385 @ X1386) @ X1385))&(~(in @ (esk16_2 @ X1385 @ X1386) @ X1385)|((X1385)=(X1386))|(in @ (esk15_2 @ X1385 @ X1386) @ X1385)))&(((in @ (esk16_2 @ X1385 @ X1386) @ X1386)|((X1385)=(X1386))|~(in @ (esk15_2 @ X1385 @ X1386) @ X1386))&(~(in @ (esk16_2 @ X1385 @ X1386) @ X1385)|((X1385)=(X1386))|~(in @ (esk15_2 @ X1385 @ X1386) @ X1386))))&(((in @ (esk17_1 @ X1389) @ X1389)|((X1389)=(emptyset)))&(((in @ (esk18_1 @ X1391) @ X1391)|((X1391)=(emptyset)))&(((~(in @ X1395 @ (dsetconstr @ X1393 @ (^[Z0/* 3 */:$i]:((X1394 @ Z0)))))|(X1394 @ X1395)|~(in @ X1395 @ X1393))&(~(X1394 @ X1395)|(in @ X1395 @ (dsetconstr @ X1393 @ (^[Z0/* 3 */:$i]:((X1394 @ Z0)))))|~(in @ X1395 @ X1393)))&((((X1396)=(emptyset))|(in @ (esk19_1 @ X1396) @ X1396))&((~(in @ X1400 @ X1398)|(~(X1399 @ X1400)|((dsetconstr @ X1398 @ (^[Z0/* 3 */:$i]:((X1399 @ Z0))))!=(emptyset))))&((~(in @ X1402 @ X1401)|((X1401)!=(emptyset)))&((in @ X1403 @ (setadjoin @ X1403 @ X1404))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1407 @ X1406)|(in @ X1407 @ (setadjoin @ X1405 @ X1406)))&(((((in @ X1410 @ X1409)|(X1411)|((X1410)=(X1408))|~(in @ X1410 @ (setadjoin @ X1408 @ X1409)))&(~(X1411)|(X1411)|((X1410)=(X1408))|~(in @ X1410 @ (setadjoin @ X1408 @ X1409))))&(((in @ X1410 @ X1409)|(X1411)|~(X1411)|~(in @ X1410 @ (setadjoin @ X1408 @ X1409)))&(~(X1411)|(X1411)|~(X1411)|~(in @ X1410 @ (setadjoin @ X1408 @ X1409)))))&((~(in @ X1414 @ (setadjoin @ X1412 @ X1413))|(((X1414)=(X1412))|(in @ X1414 @ X1413)))&(((dsetconstr @ X1415 @ (^[Z0/* 3 */:$i]:(($true))))=(X1415))&((((in @ (esk20_2 @ X1416 @ X1417) @ X1417)|(in @ X1417 @ (powerset @ X1416)))&(~(in @ (esk20_2 @ X1416 @ X1417) @ X1416)|(in @ X1417 @ (powerset @ X1416))))&((in @ emptyset @ (powerset @ X1419))&((in @ emptyset @ (powerset @ X1420))&((~(in @ X1422 @ (powerset @ X1421))|(~(in @ X1423 @ X1422)|(in @ X1423 @ X1421)))&((~(in @ X1425 @ X1426)|(~(in @ X1426 @ X1424)|(in @ X1425 @ (setunion @ X1424))))&((((in @ X1428 @ (esk21_3 @ X1427 @ X1428 @ X1429))|(X1429)|~(in @ X1428 @ (setunion @ X1427)))&(((in @ (esk21_3 @ X1427 @ X1428 @ X1429) @ X1427)|(X1429)|~(in @ X1428 @ (setunion @ X1427)))&(~(X1429)|(X1429)|~(in @ X1428 @ (setunion @ X1427)))))&((~(in @ X1432 @ X1431)|(in @ X1432 @ (powerset @ (setunion @ X1431))))&((((~(X1433 @ X1437)|((X1437)=(esk23_1 @ X1433))|((X1433 @ (esk22_2 @ X1433 @ X1434))|~(X1433 @ X1434)))&(((X1438)!=(esk23_1 @ X1433))|(X1433 @ X1438)|((X1433 @ (esk22_2 @ X1433 @ X1434))|~(X1433 @ X1434))))&((~(X1433 @ X1437)|((X1437)=(esk23_1 @ X1433))|(((X1434)!=(esk22_2 @ X1433 @ X1434))|~(X1433 @ X1434)))&(((X1438)!=(esk23_1 @ X1433))|(X1433 @ X1438)|(((X1434)!=(esk22_2 @ X1433 @ X1434))|~(X1433 @ X1434)))))&((((X1439)=(emptyset))|(in @ (esk24_1 @ X1439) @ X1439))&((~(in @ X1441 @ (setadjoin @ X1442 @ emptyset))|((X1441)=(X1442)))&((((X1443)=(X1444))|~(in @ X1444 @ (setadjoin @ X1443 @ emptyset)))&((((X1445)!=(X1446))|(in @ X1445 @ (setadjoin @ X1446 @ emptyset)))&((~(in @ X1447 @ (setadjoin @ X1448 @ emptyset))|(in @ X1448 @ (setadjoin @ X1447 @ emptyset)))&((~(in @ X1451 @ (setadjoin @ X1449 @ (setadjoin @ X1450 @ emptyset)))|(((X1451)=(X1449))|((X1451)=(X1450))))&((in @ X1452 @ (setadjoin @ X1452 @ (setadjoin @ X1453 @ emptyset)))&((in @ X1455 @ (setadjoin @ X1454 @ (setadjoin @ X1455 @ emptyset)))&((~(in @ X1458 @ X1456)|~(X1457 @ X1458)|((dsetconstr @ X1456 @ (^[Z0/* 3 */:$i]:((X1457 @ Z0))))!=(emptyset)))&((~(in @ X1460 @ emptyset)|(X1459 @ X1460))&((((in @ (esk25_2 @ X1461 @ X1462) @ X1461)|(~(in @ X1463 @ X1461)|(X1462 @ X1463)))&(~(X1462 @ (esk25_2 @ X1461 @ X1462))|(~(in @ X1463 @ X1461)|(X1462 @ X1463))))&((((in @ (esk26_2 @ X1465 @ X1466) @ X1465)|(~(in @ X1468 @ X1465)|~(X1466 @ X1468)))&((X1466 @ (esk26_2 @ X1465 @ X1466))|(~(in @ X1468 @ X1465)|~(X1466 @ 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@ emptyset)))|(((X1804)!=(X1805))|((X1803)=(X1805))))&((((setadjoin @ X1806 @ (setadjoin @ X1807 @ emptyset))!=(setadjoin @ X1808 @ emptyset))|((X1806)=(X1807)))&((((setadjoin @ (setadjoin @ X1809 @ emptyset) @ (setadjoin @ (setadjoin @ X1809 @ (setadjoin @ X1810 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1811 @ emptyset) @ (setadjoin @ (setadjoin @ X1811 @ (setadjoin @ X1812 @ emptyset)) @ emptyset)))|((X1810)=(X1812)))&((((kpair @ X1813 @ X1814)!=(kpair @ X1815 @ X1816))|((X1814)=(X1816)))&((((in @ (esk68_1 @ X1817) @ (dsetconstr @ (setunion @ X1817) @ (^[Z0/* 3 */:$i]:(((X1817)=(kpair @ (kfst @ X1817) @ Z0))))))|~(iskpair @ X1817))&(((dsetconstr @ (setunion @ X1817) @ (^[Z0/* 3 */:$i]:(((X1817)=(kpair @ (kfst @ X1817) @ Z0)))))=(setadjoin @ (esk68_1 @ X1817) @ emptyset))|~(iskpair @ X1817)))&(((ksnd @ (kpair @ X1819 @ X1820))=(X1820))&((~(iskpair @ X1821)|((kpair @ (kfst @ X1821) @ (ksnd @ X1821))=(X1821)))&((~(in @ X1824 @ (cartprod @ X1822 @ X1823))|(in @ (ksnd @ X1824) @ X1823))&((~(in @ (kpair @ X1827 @ X1828) @ (cartprod @ X1825 @ X1826))|(in @ X1827 @ X1825))&((~(in @ (kpair @ X1831 @ X1832) @ (cartprod @ X1829 @ X1830))|(in @ X1832 @ X1830))&((~(in @ X1835 @ X1833)|(~(in @ X1836 @ X1834)|((kpair @ X1835 @ X1836)=(kpair @ X1835 @ X1836))))&((~(in @ X1839 @ X1837)|(~(in @ X1840 @ X1838)|((kfst @ (kpair @ X1839 @ X1840))=(X1839))))&((~(in @ X1843 @ X1841)|(~(in @ X1844 @ X1842)|((ksnd @ (kpair @ X1843 @ X1844))=(X1844))))&((~(in @ X1847 @ (cartprod @ X1845 @ X1846))|((kpair @ (kfst @ X1847) @ (ksnd @ X1847))=(X1847)))&((~(in @ X1851 @ X1848)|(~(in @ X1852 @ X1849)|(~(X1850 @ X1851 @ X1852)|(in @ (kpair @ X1851 @ X1852) @ (dpsetconstr @ X1848 @ X1849 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1850 @ Z0 @ Z1))))))))&((subset @ (dpsetconstr @ X1853 @ X1854 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1855 @ Z0 @ Z1)))) @ (cartprod @ X1853 @ X1854))&((subset @ (dpsetconstr @ X1856 @ X1857 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1858 @ Z0 @ Z1)))) @ (cartprod @ X1856 @ X1857))&((~(in @ X1862 @ X1859)|(~(in @ X1863 @ X1860)|(~(in @ (kpair @ X1862 @ X1863) @ (dpsetconstr @ X1859 @ X1860 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1861 @ Z0 @ Z1)))))|(X1861 @ X1862 @ X1863))))&((~(in @ (kpair @ X1867 @ X1868) @ (dpsetconstr @ X1864 @ X1865 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1866 @ Z0 @ Z1)))))|(in @ X1867 @ X1864))&((~(in @ (kpair @ X1872 @ X1873) @ (dpsetconstr @ X1869 @ X1870 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1871 @ Z0 @ Z1)))))|(in @ X1873 @ X1870))&((~(in @ (kpair @ X1877 @ X1878) @ (dpsetconstr @ X1874 @ X1875 @ (^[Z0/* 19 */:$i, Z1:$i]:((X1876 @ Z0 @ Z1)))))|(X1876 @ X1877 @ X1878))&(((((in @ (esk70_4 @ X1879 @ X1880 @ X1881 @ X1884) @ (dsetconstr @ X1880 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1884 @ Z0) @ X1881)))))|~(in @ X1884 @ X1879)|((in @ (esk69_3 @ X1879 @ X1880 @ X1881) @ X1879)|~(subset @ X1881 @ (cartprod @ X1879 @ X1880))))&(((dsetconstr @ X1880 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1884 @ Z0) @ X1881))))=(setadjoin @ (esk70_4 @ X1879 @ X1880 @ X1881 @ X1884) @ emptyset))|~(in @ X1884 @ X1879)|((in @ (esk69_3 @ X1879 @ X1880 @ X1881) @ X1879)|~(subset @ X1881 @ (cartprod @ X1879 @ X1880)))))&(((in @ (esk70_4 @ X1879 @ X1880 @ X1881 @ X1884) @ (dsetconstr @ X1880 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1884 @ Z0) @ X1881)))))|~(in @ X1884 @ X1879)|(~(in @ X1883 @ (dsetconstr @ X1880 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk69_3 @ X1879 @ X1880 @ X1881) @ Z0) @ X1881)))))|((dsetconstr @ X1880 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk69_3 @ X1879 @ X1880 @ X1881) @ Z0) @ X1881))))!=(setadjoin @ X1883 @ emptyset))|~(subset @ X1881 @ (cartprod @ X1879 @ X1880))))&(((dsetconstr @ X1880 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1884 @ Z0) @ X1881))))=(setadjoin @ (esk70_4 @ X1879 @ X1880 @ X1881 @ X1884) @ emptyset))|~(in @ X1884 @ X1879)|(~(in @ X1883 @ (dsetconstr @ X1880 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk69_3 @ X1879 @ X1880 @ X1881) @ Z0) @ X1881)))))|((dsetconstr @ X1880 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk69_3 @ X1879 @ X1880 @ X1881) @ Z0) @ X1881))))!=(setadjoin @ X1883 @ emptyset))|~(subset @ X1881 @ (cartprod @ X1879 @ X1880))))))&((((in @ (esk71_3 @ X1886 @ X1887 @ X1888) @ X1886)|~(subset @ X1888 @ (cartprod @ X1886 @ X1887))|(~(in @ X1891 @ X1886)|(in @ (setunion @ (dsetconstr @ X1887 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1891 @ Z0) @ X1888))))) @ X1887)))&(~(in @ X1890 @ (dsetconstr @ X1887 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk71_3 @ X1886 @ X1887 @ X1888) @ Z0) @ X1888)))))|((dsetconstr @ X1887 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk71_3 @ X1886 @ X1887 @ X1888) @ Z0) @ X1888))))!=(setadjoin @ X1890 @ emptyset))|~(subset @ X1888 @ (cartprod @ X1886 @ X1887))|(~(in @ X1891 @ X1886)|(in @ (setunion @ (dsetconstr @ X1887 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1891 @ Z0) @ X1888))))) @ X1887))))&((((in @ (esk72_3 @ X1892 @ X1893 @ X1894) @ X1892)|~(subset @ X1894 @ (cartprod @ X1892 @ X1893))|(~(in @ X1897 @ X1892)|(in @ (ap @ X1892 @ X1893 @ X1894 @ X1897) @ X1893)))&(~(in @ X1896 @ (dsetconstr @ X1893 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk72_3 @ X1892 @ X1893 @ X1894) @ Z0) @ X1894)))))|((dsetconstr @ X1893 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk72_3 @ X1892 @ X1893 @ X1894) @ Z0) @ X1894))))!=(setadjoin @ X1896 @ emptyset))|~(subset @ X1894 @ (cartprod @ X1892 @ X1893))|(~(in @ X1897 @ X1892)|(in @ (ap @ X1892 @ X1893 @ X1894 @ X1897) @ X1893))))&((((subset @ X1900 @ (cartprod @ X1898 @ X1899))|~(in @ X1900 @ (funcSet @ X1898 @ X1899)))&(((in @ (esk73_4 @ X1898 @ X1899 @ X1900 @ X1901) @ (dsetconstr @ X1899 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1901 @ Z0) @ X1900)))))|~(in @ X1901 @ X1898)|~(in @ X1900 @ (funcSet @ X1898 @ X1899)))&(((dsetconstr @ X1899 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1901 @ Z0) @ X1900))))=(setadjoin @ (esk73_4 @ X1898 @ X1899 @ X1900 @ X1901) @ emptyset))|~(in @ X1901 @ X1898)|~(in @ X1900 @ (funcSet @ X1898 @ X1899)))))&((~(in @ X1905 @ (funcSet @ X1903 @ X1904))|(~(in @ X1906 @ X1903)|(in @ (ap @ X1903 @ X1904 @ X1905 @ X1906) @ X1904)))&((((in @ (esk74_3 @ X1907 @ X1908 @ X1909) @ X1907)|~(subset @ X1909 @ (cartprod @ X1907 @ X1908))|(in @ X1909 @ (funcSet @ X1907 @ X1908)))&(~(in @ X1911 @ (dsetconstr @ X1908 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk74_3 @ X1907 @ X1908 @ X1909) @ Z0) @ X1909)))))|((dsetconstr @ X1908 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk74_3 @ X1907 @ X1908 @ X1909) @ Z0) @ X1909))))!=(setadjoin @ X1911 @ emptyset))|~(subset @ X1909 @ (cartprod @ X1907 @ X1908))|(in @ X1909 @ (funcSet @ X1907 @ X1908))))&(((((subset @ (dpsetconstr @ X1912 @ X1913 @ (^[Z0/* 3 */:$i]:($eq @ (X1914 @ Z0)))) @ (cartprod @ X1912 @ X1913))|(in @ (esk75_3 @ X1912 @ X1913 @ X1914) @ X1912))&(((in @ (esk76_4 @ X1912 @ X1913 @ X1914 @ X1916) @ (dsetconstr @ X1913 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1916 @ Z0) @ (dpsetconstr @ X1912 @ X1913 @ (^[Z1/* 3 */:$i]:($eq @ (X1914 @ Z1)))))))))|~(in @ X1916 @ X1912)|(in @ (esk75_3 @ X1912 @ X1913 @ X1914) @ X1912))&(((dsetconstr @ X1913 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1916 @ Z0) @ (dpsetconstr @ X1912 @ X1913 @ (^[Z1/* 3 */:$i]:($eq @ (X1914 @ Z1))))))))=(setadjoin @ (esk76_4 @ X1912 @ X1913 @ X1914 @ X1916) @ emptyset))|~(in @ X1916 @ X1912)|(in @ (esk75_3 @ X1912 @ X1913 @ X1914) @ X1912))))&(((subset @ (dpsetconstr @ X1912 @ X1913 @ (^[Z0/* 3 */:$i]:($eq @ (X1914 @ Z0)))) @ (cartprod @ X1912 @ X1913))|~(in @ (X1914 @ (esk75_3 @ X1912 @ X1913 @ X1914)) @ X1913))&(((in @ (esk76_4 @ X1912 @ X1913 @ X1914 @ X1916) @ (dsetconstr @ X1913 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1916 @ Z0) @ (dpsetconstr @ X1912 @ X1913 @ (^[Z1/* 3 */:$i]:($eq @ (X1914 @ Z1)))))))))|~(in @ X1916 @ X1912)|~(in @ (X1914 @ (esk75_3 @ X1912 @ X1913 @ X1914)) @ X1913))&(((dsetconstr @ X1913 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1916 @ Z0) @ (dpsetconstr @ X1912 @ X1913 @ (^[Z1/* 3 */:$i]:($eq @ (X1914 @ Z1))))))))=(setadjoin @ (esk76_4 @ X1912 @ X1913 @ X1914 @ X1916) @ emptyset))|~(in @ X1916 @ X1912)|~(in @ (X1914 @ (esk75_3 @ X1912 @ X1913 @ X1914)) @ X1913)))))&(((((subset @ (lam @ X1918 @ X1919 @ X1920) @ (cartprod @ X1918 @ X1919))|(in @ (esk77_3 @ X1918 @ X1919 @ X1920) @ X1918))&(((in @ (esk78_4 @ X1918 @ X1919 @ X1920 @ X1922) @ (dsetconstr @ X1919 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1922 @ Z0) @ (lam @ X1918 @ X1919 @ X1920))))))|~(in @ X1922 @ X1918)|(in @ (esk77_3 @ X1918 @ X1919 @ X1920) @ X1918))&(((dsetconstr @ X1919 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1922 @ Z0) @ (lam @ X1918 @ X1919 @ X1920)))))=(setadjoin @ (esk78_4 @ X1918 @ X1919 @ X1920 @ X1922) @ emptyset))|~(in @ X1922 @ X1918)|(in @ (esk77_3 @ X1918 @ X1919 @ X1920) @ X1918))))&(((subset @ (lam @ X1918 @ X1919 @ X1920) @ (cartprod @ X1918 @ X1919))|~(in @ (X1920 @ (esk77_3 @ X1918 @ X1919 @ X1920)) @ X1919))&(((in @ (esk78_4 @ X1918 @ X1919 @ X1920 @ X1922) @ (dsetconstr @ X1919 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1922 @ Z0) @ (lam @ X1918 @ X1919 @ X1920))))))|~(in @ X1922 @ X1918)|~(in @ (X1920 @ (esk77_3 @ X1918 @ X1919 @ X1920)) @ X1919))&(((dsetconstr @ X1919 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1922 @ Z0) @ (lam @ X1918 @ X1919 @ X1920)))))=(setadjoin @ (esk78_4 @ X1918 @ X1919 @ X1920 @ X1922) @ emptyset))|~(in @ X1922 @ X1918)|~(in @ (X1920 @ (esk77_3 @ X1918 @ X1919 @ X1920)) @ X1919)))))&((((in @ (esk79_3 @ X1924 @ X1925 @ X1926) @ X1924)|(in @ (lam @ X1924 @ X1925 @ X1926) @ (funcSet @ X1924 @ X1925)))&(~(in @ (X1926 @ (esk79_3 @ X1924 @ X1925 @ X1926)) @ X1925)|(in @ (lam @ X1924 @ X1925 @ X1926) @ (funcSet @ X1924 @ X1925))))&((((in @ (esk80_4 @ X1928 @ X1929 @ X1930 @ X1931) @ X1928)|(~(in @ X1934 @ X1930)|(X1931 @ X1934))|~(subset @ X1930 @ (cartprod @ X1928 @ X1929)))&(((in @ (esk81_4 @ X1928 @ X1929 @ X1930 @ X1931) @ X1929)|(~(in @ X1934 @ X1930)|(X1931 @ X1934))|~(subset @ X1930 @ (cartprod @ X1928 @ X1929)))&(((in @ (kpair @ (esk80_4 @ X1928 @ X1929 @ X1930 @ X1931) @ (esk81_4 @ X1928 @ X1929 @ X1930 @ X1931)) @ X1930)|(~(in @ X1934 @ X1930)|(X1931 @ X1934))|~(subset @ X1930 @ (cartprod @ X1928 @ X1929)))&(~(X1931 @ (kpair @ (esk80_4 @ X1928 @ X1929 @ X1930 @ X1931) @ (esk81_4 @ X1928 @ X1929 @ X1930 @ X1931)))|(~(in @ X1934 @ X1930)|(X1931 @ X1934))|~(subset @ X1930 @ (cartprod @ X1928 @ X1929))))))&((((in @ (esk82_4 @ X1935 @ X1936 @ X1937 @ X1938) @ X1935)|(~(in @ X1941 @ X1937)|(X1938 @ X1941))|~(subset @ X1937 @ (cartprod @ X1935 @ X1936)))&(((in @ (esk83_4 @ X1935 @ X1936 @ X1937 @ X1938) @ X1936)|(~(in @ X1941 @ X1937)|(X1938 @ X1941))|~(subset @ X1937 @ (cartprod @ X1935 @ X1936)))&(((in @ (kpair @ (esk82_4 @ X1935 @ X1936 @ X1937 @ X1938) @ (esk83_4 @ X1935 @ X1936 @ X1937 @ X1938)) @ X1937)|(~(in @ X1941 @ X1937)|(X1938 @ X1941))|~(subset @ X1937 @ (cartprod @ X1935 @ X1936)))&(~(X1938 @ (kpair @ (esk82_4 @ X1935 @ X1936 @ X1937 @ X1938) @ (esk83_4 @ X1935 @ X1936 @ X1937 @ X1938)))|(~(in @ X1941 @ X1937)|(X1938 @ X1941))|~(subset @ X1937 @ (cartprod @ X1935 @ X1936))))))&((~(in @ X1944 @ (dsetconstr @ X1942 @ (^[Z0/* 3 */:$i]:((X1943 @ Z0)))))|((dsetconstr @ X1942 @ (^[Z0/* 3 */:$i]:((X1943 @ Z0))))!=(setadjoin @ X1944 @ emptyset))|(~(in @ X1945 @ X1942)|(~(in @ X1946 @ X1942)|(~(X1943 @ X1945)|(~(X1943 @ X1946)|((X1945)=(X1946)))))))&(((subset @ esk86_0 @ (cartprod @ esk84_0 @ esk85_0))&(((in @ (esk87_1 @ X1950) @ (dsetconstr @ esk85_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1950 @ Z0) @ esk86_0)))))|~(in @ X1950 @ esk84_0))&(((dsetconstr @ esk85_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1950 @ Z0) @ esk86_0))))=(setadjoin @ (esk87_1 @ X1950) @ emptyset))|~(in @ X1950 @ esk84_0))))&((in @ esk88_0 @ esk84_0)&~(in @ (kpair @ esk88_0 @ (ap @ esk84_0 @ esk85_0 @ esk86_0 @ esk88_0)) @ esk86_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_292])])])])])])).
0.71/1.16	thf(c_0_295, plain, ![X1314:$i, X1315:$i, X1316:$i, X1317:$i]:(((ap @ X1314 @ X1315 @ X1316 @ X1317)=(setunion @ (dsetconstr @ X1315 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1317 @ Z0) @ X1316))))))), inference(variable_rename,[status(thm)],[c_0_293])).
0.71/1.16	thf(c_0_296, negated_conjecture, ~((in @ (kpair @ esk88_0 @ (ap @ esk84_0 @ esk85_0 @ esk86_0 @ esk88_0)) @ esk86_0)), inference(split_conjunct,[status(thm)],[c_0_294])).
0.71/1.16	thf(c_0_297, plain, ![X2:$i, X3:$i, X5:$i, X4:$i]:(((ap @ X2 @ X3 @ X4 @ X5)=(setunion @ (dsetconstr @ X3 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X5 @ Z0) @ X4))))))), inference(split_conjunct,[status(thm)],[c_0_295])).
0.71/1.16	thf(c_0_298, negated_conjecture, ~((in @ (kpair @ esk88_0 @ (setunion @ (dsetconstr @ esk85_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ esk88_0 @ Z0) @ esk86_0)))))) @ esk86_0)), inference(rw,[status(thm)],[c_0_296, c_0_297])).
0.71/1.16	thf(c_0_299, negated_conjecture, ![X2:$i]:((((dsetconstr @ esk85_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ esk86_0))))=(setadjoin @ (esk87_1 @ X2) @ emptyset))|~((in @ X2 @ esk84_0)))), inference(split_conjunct,[status(thm)],[c_0_294])).
0.71/1.16	thf(c_0_300, negated_conjecture, ![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2))), inference(split_conjunct,[status(thm)],[c_0_294])).
0.71/1.16	thf(c_0_301, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_294])).
0.71/1.16	thf(c_0_302, negated_conjecture, ![X2:$i]:(((in @ (esk87_1 @ X2) @ (dsetconstr @ esk85_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ esk86_0)))))|~((in @ X2 @ esk84_0)))), inference(split_conjunct,[status(thm)],[c_0_294])).
0.71/1.16	thf(c_0_303, plain, ![X2:$i]:((((^[Z0/* 3 */:$i]:((in @ (kpair @ esk88_0 @ Z0) @ esk86_0)))!=(^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ esk86_0))))|~((in @ (kpair @ esk88_0 @ (esk87_1 @ X2)) @ esk86_0))|~((in @ X2 @ esk84_0)))), inference(rw,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_298, c_0_299]), c_0_300])).
0.71/1.16	thf(c_0_304, negated_conjecture, ![X2:$i]:(((in @ (kpair @ X2 @ (esk87_1 @ X2)) @ esk86_0)|~((in @ X2 @ esk84_0)))), inference(spm,[status(thm)],[c_0_301, c_0_302])).
0.71/1.16	thf(c_0_305, negated_conjecture, (in @ esk88_0 @ esk84_0), inference(split_conjunct,[status(thm)],[c_0_294])).
0.71/1.16	thf(c_0_306, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303, c_0_304]), c_0_305])]), ['proof']).
0.71/1.16	# SZS output end CNFRefutation
0.71/1.16	# Parsed axioms                        : 446
0.71/1.16	# Removed by relevancy pruning/SinE    : 0
0.71/1.16	# Initial clauses                      : 619
0.71/1.16	# Removed in clause preprocessing      : 263
0.71/1.16	# Initial clauses in saturation        : 356
0.71/1.16	# Processed clauses                    : 1133
0.71/1.16	# ...of these trivial                  : 17
0.71/1.16	# ...subsumed                          : 241
0.71/1.16	# ...remaining for further processing  : 875
0.71/1.16	# Other redundant clauses eliminated   : 480
0.71/1.16	# Clauses deleted for lack of memory   : 0
0.71/1.16	# Backward-subsumed                    : 5
0.71/1.16	# Backward-rewritten                   : 7
0.71/1.16	# Generated clauses                    : 15980
0.71/1.16	# ...of the previous two non-redundant : 15292
0.71/1.16	# ...aggressively subsumed             : 0
0.71/1.16	# Contextual simplify-reflections      : 1
0.71/1.16	# Paramodulations                      : 15056
0.71/1.16	# Factorizations                       : 2
0.71/1.16	# NegExts                              : 26
0.71/1.16	# Equation resolutions                 : 487
0.71/1.16	# Total rewrite steps                  : 376
0.71/1.16	# Propositional unsat checks           : 0
0.71/1.16	#    Propositional check models        : 0
0.71/1.16	#    Propositional check unsatisfiable : 0
0.71/1.16	#    Propositional clauses             : 0
0.71/1.16	#    Propositional clauses after purity: 0
0.71/1.16	#    Propositional unsat core size     : 0
0.71/1.16	#    Propositional preprocessing time  : 0.000
0.71/1.16	#    Propositional encoding time       : 0.000
0.71/1.16	#    Propositional solver time         : 0.000
0.71/1.16	#    Success case prop preproc time    : 0.000
0.71/1.16	#    Success case prop encoding time   : 0.000
0.71/1.16	#    Success case prop solver time     : 0.000
0.71/1.16	# Current number of processed clauses  : 533
0.71/1.16	#    Positive orientable unit clauses  : 48
0.71/1.16	#    Positive unorientable unit clauses: 0
0.71/1.16	#    Negative unit clauses             : 19
0.71/1.16	#    Non-unit-clauses                  : 466
0.71/1.16	# Current number of unprocessed clauses: 14723
0.71/1.16	# ...number of literals in the above   : 59646
0.71/1.16	# Current number of archived formulas  : 0
0.71/1.16	# Current number of archived clauses   : 328
0.71/1.16	# Clause-clause subsumption calls (NU) : 48966
0.71/1.16	# Rec. Clause-clause subsumption calls : 22896
0.71/1.16	# Non-unit clause-clause subsumptions  : 154
0.71/1.16	# Unit Clause-clause subsumption calls : 1460
0.71/1.16	# Rewrite failures with RHS unbound    : 0
0.71/1.16	# BW rewrite match attempts            : 31
0.71/1.16	# BW rewrite match successes           : 7
0.71/1.16	# Condensation attempts                : 0
0.71/1.16	# Condensation successes               : 0
0.71/1.16	# Termbank termtop insertions          : 440413
0.71/1.16	
0.71/1.16	# -------------------------------------------------
0.71/1.16	# User time                : 0.552 s
0.71/1.16	# System time              : 0.031 s
0.71/1.16	# Total time               : 0.582 s
0.71/1.16	# Maximum resident set size: 6568 pages
135.75/95.06	eprover: Parsing a user given option argument: "(3.PNRefinedweight(PreferGoals,1,1,1,2,2,2,0.5),5.PNRefinedweight(PreferNonGoals,2,1,1,1,2,2,2),3.OrientLMaxWeight(PreferEasyHO,2,1,2,1,1),4.Diversityweight(DeferLambdas,1,1,1.5,1,1,-1.000000,0.000000,1.000000,1.000000)),1.FIFOWeight(ConstPrio),1.PNRefinedweight(PreferLambdas,2,1,1,1,2,2,2))":1:(Column 221):(just read ','): No token (probably EOF) expected, but Comma (',') read 
220.73/180.02	
220.73/180.02	# -------------------------------------------------
220.73/180.02	# User time                : 0.561 s
220.73/180.02	# System time              : 0.035 s
220.73/180.02	# Total time               : 0.596 s
220.73/180.02	# Maximum resident set size: 2348 pages
220.73/180.02	% E---3.1 exiting
220.73/180.03	EOF