0.17/0.18	% Problem    : Vampire---4.8_28529 : TPTP v0.0.0. Released v0.0.0.
0.17/0.19	% Command    : run_E %s %d THM
0.20/0.40	% Computer : n020.cluster.edu
0.20/0.40	% Model    : x86_64 x86_64
0.20/0.40	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.20/0.40	% Memory   : 8042.1875MB
0.20/0.40	% OS       : Linux 3.10.0-693.el7.x86_64
0.20/0.40	% CPULimit   : 1440
0.20/0.40	% WCLimit    : 180
0.20/0.40	% DateTime   : Mon Jul  3 13:07:16 EDT 2023
0.20/0.40	% CPUTime    : 
0.39/0.59	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.W4e6Kc3P98/Vampire---4.8_28529
0.39/0.59	# Version: 3.1pre001-ho
12.61/2.30	# Preprocessing class: HSLMSLSSLLLCHFA.
12.61/2.30	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
12.61/2.30	# Starting ehoh_best5 with 180s (1) cores
12.61/2.30	# Starting almost_fo_3_lam with 180s (1) cores
12.61/2.30	# Starting new_bool_5 with 180s (1) cores
12.61/2.30	# Starting pre_casc_3 with 180s (1) cores
12.61/2.30	# Starting ho_unfolding_8 with 180s (1) cores
12.61/2.30	# Starting new_ho_10_cnf2 with 180s (1) cores
12.61/2.30	# Starting new_bool_3 with 180s (1) cores
12.61/2.30	# Starting new_ho_5 with 180s (1) cores
12.61/2.30	# new_bool_3 with pid 28714 completed with status 0
12.61/2.30	# Result found by new_bool_3
12.61/2.30	# Preprocessing class: HSLMSLSSLLLCHFA.
12.61/2.30	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
12.61/2.30	# Starting ehoh_best5 with 180s (1) cores
12.61/2.30	# Starting almost_fo_3_lam with 180s (1) cores
12.61/2.30	# Starting new_bool_5 with 180s (1) cores
12.61/2.30	# Starting pre_casc_3 with 180s (1) cores
12.61/2.30	# Starting ho_unfolding_8 with 180s (1) cores
12.61/2.30	# Starting new_ho_10_cnf2 with 180s (1) cores
12.61/2.30	# Starting new_bool_3 with 180s (1) cores
12.61/2.30	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
12.61/2.30	# Search class: HGHSM-FSLM32-MHFMMSBN
12.61/2.30	# Scheduled 9 strats onto 1 cores with 180 seconds (180 total)
12.61/2.30	# Starting ho_unfolding_8 with 37s (1) cores
12.61/2.30	# ho_unfolding_8 with pid 28716 completed with status 0
12.61/2.30	# Result found by ho_unfolding_8
12.61/2.30	# Preprocessing class: HSLMSLSSLLLCHFA.
12.61/2.30	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
12.61/2.30	# Starting ehoh_best5 with 180s (1) cores
12.61/2.30	# Starting almost_fo_3_lam with 180s (1) cores
12.61/2.30	# Starting new_bool_5 with 180s (1) cores
12.61/2.30	# Starting pre_casc_3 with 180s (1) cores
12.61/2.30	# Starting ho_unfolding_8 with 180s (1) cores
12.61/2.30	# Starting new_ho_10_cnf2 with 180s (1) cores
12.61/2.30	# Starting new_bool_3 with 180s (1) cores
12.61/2.30	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
12.61/2.30	# Search class: HGHSM-FSLM32-MHFMMSBN
12.61/2.30	# Scheduled 9 strats onto 1 cores with 180 seconds (180 total)
12.61/2.30	# Starting ho_unfolding_8 with 37s (1) cores
12.61/2.30	# Preprocessing time       : 0.084 s
12.61/2.30	# Presaturation interreduction done
12.61/2.30	
12.61/2.30	# Proof found!
12.61/2.30	# SZS status Theorem
12.61/2.30	# SZS output start CNFRefutation
12.61/2.30	thf(decl_22, type, in: $i > $i > $o).
12.61/2.30	thf(decl_23, type, exu: ($i > $o) > $o).
12.61/2.30	thf(decl_24, type, setextAx: $o).
12.61/2.30	thf(decl_25, type, emptyset: $i).
12.61/2.30	thf(decl_26, type, emptysetAx: $o).
12.61/2.30	thf(decl_27, type, setadjoin: $i > $i > $i).
12.61/2.30	thf(decl_28, type, setadjoinAx: $o).
12.61/2.30	thf(decl_29, type, powerset: $i > $i).
12.61/2.30	thf(decl_30, type, powersetAx: $o).
12.61/2.30	thf(decl_31, type, setunion: $i > $i).
12.61/2.30	thf(decl_32, type, setunionAx: $o).
12.61/2.30	thf(decl_33, type, omega: $i).
12.61/2.30	thf(decl_34, type, omega0Ax: $o).
12.61/2.30	thf(decl_35, type, omegaSAx: $o).
12.61/2.30	thf(decl_36, type, omegaIndAx: $o).
12.61/2.30	thf(decl_37, type, replAx: $o).
12.61/2.30	thf(decl_38, type, foundationAx: $o).
12.61/2.30	thf(decl_39, type, wellorderingAx: $o).
12.61/2.30	thf(decl_40, type, descr: ($i > $o) > $i).
12.61/2.30	thf(decl_41, type, descrp: $o).
12.61/2.30	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
12.61/2.30	thf(decl_43, type, dsetconstrI: $o).
12.61/2.30	thf(decl_44, type, dsetconstrEL: $o).
12.61/2.30	thf(decl_45, type, dsetconstrER: $o).
12.61/2.30	thf(decl_46, type, exuE1: $o).
12.61/2.30	thf(decl_47, type, prop2set: $o > $i).
12.61/2.30	thf(decl_48, type, prop2setE: $o).
12.61/2.30	thf(decl_49, type, emptysetE: $o).
12.61/2.30	thf(decl_50, type, emptysetimpfalse: $o).
12.61/2.30	thf(decl_51, type, notinemptyset: $o).
12.61/2.30	thf(decl_52, type, exuE3e: $o).
12.61/2.30	thf(decl_53, type, setext: $o).
12.61/2.30	thf(decl_54, type, emptyI: $o).
12.61/2.30	thf(decl_55, type, noeltsimpempty: $o).
12.61/2.30	thf(decl_56, type, setbeta: $o).
12.61/2.30	thf(decl_57, type, nonempty: $i > $o).
12.61/2.30	thf(decl_58, type, nonemptyE1: $o).
12.61/2.30	thf(decl_59, type, nonemptyI: $o).
12.61/2.30	thf(decl_60, type, nonemptyI1: $o).
12.61/2.30	thf(decl_61, type, setadjoinIL: $o).
12.61/2.30	thf(decl_62, type, emptyinunitempty: $o).
12.61/2.30	thf(decl_63, type, setadjoinIR: $o).
12.61/2.30	thf(decl_64, type, setadjoinE: $o).
12.61/2.30	thf(decl_65, type, setadjoinOr: $o).
12.61/2.30	thf(decl_66, type, setoftrueEq: $o).
12.61/2.30	thf(decl_67, type, powersetI: $o).
12.61/2.30	thf(decl_68, type, emptyinPowerset: $o).
12.61/2.30	thf(decl_69, type, emptyInPowerset: $o).
12.61/2.30	thf(decl_70, type, powersetE: $o).
12.61/2.30	thf(decl_71, type, setunionI: $o).
12.61/2.30	thf(decl_72, type, setunionE: $o).
12.61/2.30	thf(decl_73, type, subPowSU: $o).
12.61/2.30	thf(decl_74, type, exuE2: $o).
12.61/2.30	thf(decl_75, type, nonemptyImpWitness: $o).
12.61/2.30	thf(decl_76, type, uniqinunit: $o).
12.61/2.30	thf(decl_77, type, notinsingleton: $o).
12.61/2.30	thf(decl_78, type, eqinunit: $o).
12.61/2.30	thf(decl_79, type, singletonsswitch: $o).
12.61/2.30	thf(decl_80, type, upairsetE: $o).
12.61/2.30	thf(decl_81, type, upairsetIL: $o).
12.61/2.30	thf(decl_82, type, upairsetIR: $o).
12.61/2.30	thf(decl_83, type, emptyE1: $o).
12.61/2.30	thf(decl_84, type, vacuousDall: $o).
12.61/2.30	thf(decl_85, type, quantDeMorgan1: $o).
12.61/2.30	thf(decl_86, type, quantDeMorgan2: $o).
12.61/2.30	thf(decl_87, type, quantDeMorgan3: $o).
12.61/2.30	thf(decl_88, type, quantDeMorgan4: $o).
12.61/2.30	thf(decl_89, type, prop2setI: $o).
12.61/2.30	thf(decl_91, type, prop2set2propI: $o).
12.61/2.30	thf(decl_92, type, notdexE: $o).
12.61/2.30	thf(decl_93, type, notdallE: $o).
12.61/2.30	thf(decl_94, type, exuI1: $o).
12.61/2.30	thf(decl_95, type, exuI3: $o).
12.61/2.30	thf(decl_96, type, exuI2: $o).
12.61/2.30	thf(decl_97, type, inCongP: $o).
12.61/2.30	thf(decl_98, type, in__Cong: $o).
12.61/2.30	thf(decl_99, type, exuE3u: $o).
12.61/2.30	thf(decl_100, type, exu__Cong: $o).
12.61/2.30	thf(decl_101, type, emptyset__Cong: $o).
12.61/2.30	thf(decl_102, type, setadjoin__Cong: $o).
12.61/2.30	thf(decl_103, type, powerset__Cong: $o).
12.61/2.30	thf(decl_104, type, setunion__Cong: $o).
12.61/2.30	thf(decl_105, type, omega__Cong: $o).
12.61/2.30	thf(decl_106, type, exuEu: $o).
12.61/2.30	thf(decl_107, type, descr__Cong: $o).
12.61/2.30	thf(decl_108, type, dsetconstr__Cong: $o).
12.61/2.30	thf(decl_109, type, subset: $i > $i > $o).
12.61/2.30	thf(decl_112, type, subsetI1: $o).
12.61/2.30	thf(decl_113, type, eqimpsubset2: $o).
12.61/2.30	thf(decl_114, type, eqimpsubset1: $o).
12.61/2.30	thf(decl_115, type, subsetI2: $o).
12.61/2.30	thf(decl_116, type, emptysetsubset: $o).
12.61/2.30	thf(decl_117, type, subsetE: $o).
12.61/2.30	thf(decl_118, type, subsetE2: $o).
12.61/2.30	thf(decl_119, type, notsubsetI: $o).
12.61/2.30	thf(decl_120, type, notequalI1: $o).
12.61/2.30	thf(decl_121, type, notequalI2: $o).
12.61/2.30	thf(decl_122, type, subsetRefl: $o).
12.61/2.30	thf(decl_123, type, subsetTrans: $o).
12.61/2.30	thf(decl_124, type, setadjoinSub: $o).
12.61/2.30	thf(decl_125, type, setadjoinSub2: $o).
12.61/2.30	thf(decl_126, type, subset2powerset: $o).
12.61/2.30	thf(decl_127, type, setextsub: $o).
12.61/2.30	thf(decl_128, type, subsetemptysetimpeq: $o).
12.61/2.30	thf(decl_129, type, powersetI1: $o).
12.61/2.30	thf(decl_130, type, powersetE1: $o).
12.61/2.30	thf(decl_131, type, inPowerset: $o).
12.61/2.30	thf(decl_132, type, powersetsubset: $o).
12.61/2.30	thf(decl_133, type, sepInPowerset: $o).
12.61/2.30	thf(decl_134, type, sepSubset: $o).
12.61/2.30	thf(decl_135, type, binunion: $i > $i > $i).
12.61/2.30	thf(decl_136, type, binunionIL: $o).
12.61/2.30	thf(decl_137, type, upairset2IR: $o).
12.61/2.30	thf(decl_138, type, binunionIR: $o).
12.61/2.30	thf(decl_139, type, binunionEcases: $o).
12.61/2.30	thf(decl_140, type, binunionE: $o).
12.61/2.30	thf(decl_141, type, binunionLsub: $o).
12.61/2.30	thf(decl_142, type, binunionRsub: $o).
12.61/2.30	thf(decl_143, type, binintersect: $i > $i > $i).
12.61/2.30	thf(decl_144, type, binintersectI: $o).
12.61/2.30	thf(decl_145, type, binintersectSubset5: $o).
12.61/2.30	thf(decl_146, type, binintersectEL: $o).
12.61/2.30	thf(decl_147, type, binintersectLsub: $o).
12.61/2.30	thf(decl_148, type, binintersectSubset2: $o).
12.61/2.30	thf(decl_149, type, binintersectSubset3: $o).
12.61/2.30	thf(decl_150, type, binintersectER: $o).
12.61/2.30	thf(decl_151, type, disjointsetsI1: $o).
12.61/2.30	thf(decl_152, type, binintersectRsub: $o).
12.61/2.30	thf(decl_153, type, binintersectSubset4: $o).
12.61/2.30	thf(decl_154, type, binintersectSubset1: $o).
12.61/2.30	thf(decl_155, type, bs114d: $o).
12.61/2.30	thf(decl_157, type, setminus: $i > $i > $i).
12.61/2.30	thf(decl_158, type, setminusI: $o).
12.61/2.30	thf(decl_159, type, setminusEL: $o).
12.61/2.30	thf(decl_160, type, setminusER: $o).
12.61/2.30	thf(decl_161, type, setminusSubset2: $o).
12.61/2.30	thf(decl_162, type, setminusERneg: $o).
12.61/2.30	thf(decl_163, type, setminusELneg: $o).
12.61/2.30	thf(decl_164, type, setminusILneg: $o).
12.61/2.30	thf(decl_165, type, setminusIRneg: $o).
12.61/2.30	thf(decl_166, type, setminusLsub: $o).
12.61/2.30	thf(decl_167, type, setminusSubset1: $o).
12.61/2.30	thf(decl_168, type, symdiff: $i > $i > $i).
12.61/2.30	thf(decl_169, type, symdiffE: $o).
12.61/2.30	thf(decl_170, type, symdiffI1: $o).
12.61/2.30	thf(decl_171, type, symdiffI2: $o).
12.61/2.30	thf(decl_172, type, symdiffIneg1: $o).
12.61/2.30	thf(decl_173, type, symdiffIneg2: $o).
12.61/2.30	thf(decl_174, type, iskpair: $i > $o).
12.61/2.30	thf(decl_175, type, secondinupair: $o).
12.61/2.30	thf(decl_176, type, setukpairIL: $o).
12.61/2.30	thf(decl_177, type, setukpairIR: $o).
12.61/2.30	thf(decl_178, type, kpairiskpair: $o).
12.61/2.30	thf(decl_179, type, kpair: $i > $i > $i).
12.61/2.30	thf(decl_180, type, kpairp: $o).
12.61/2.30	thf(decl_181, type, cartprod: $i > $i > $i).
12.61/2.30	thf(decl_182, type, singletonsubset: $o).
12.61/2.30	thf(decl_183, type, singletoninpowerset: $o).
12.61/2.30	thf(decl_184, type, singletoninpowunion: $o).
12.61/2.30	thf(decl_185, type, upairset2E: $o).
12.61/2.30	thf(decl_186, type, upairsubunion: $o).
12.61/2.30	thf(decl_187, type, upairinpowunion: $o).
12.61/2.30	thf(decl_188, type, ubforcartprodlem1: $o).
12.61/2.30	thf(decl_189, type, ubforcartprodlem2: $o).
12.61/2.30	thf(decl_190, type, ubforcartprodlem3: $o).
12.61/2.30	thf(decl_191, type, cartprodpairin: $o).
12.61/2.30	thf(decl_192, type, cartprodmempair1: $o).
12.61/2.30	thf(decl_193, type, cartprodmempair: $o).
12.61/2.30	thf(decl_194, type, setunionE2: $o).
12.61/2.30	thf(decl_195, type, setunionsingleton1: $o).
12.61/2.30	thf(decl_196, type, setunionsingleton2: $o).
12.61/2.30	thf(decl_197, type, setunionsingleton: $o).
12.61/2.30	thf(decl_198, type, singleton: $i > $o).
12.61/2.30	thf(decl_199, type, singletonprop: $o).
12.61/2.30	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
12.61/2.30	thf(decl_201, type, ex1E1: $o).
12.61/2.30	thf(decl_202, type, ex1I: $o).
12.61/2.30	thf(decl_203, type, ex1I2: $o).
12.61/2.30	thf(decl_204, type, singletonsuniq: $o).
12.61/2.30	thf(decl_209, type, setukpairinjL1: $o).
12.61/2.30	thf(decl_210, type, kfstsingleton: $o).
12.61/2.30	thf(decl_211, type, theprop: $o).
12.61/2.30	thf(decl_212, type, kfst: $i > $i).
12.61/2.30	thf(decl_213, type, kfstpairEq: $o).
12.61/2.30	thf(decl_214, type, cartprodfstin: $o).
12.61/2.30	thf(decl_215, type, setukpairinjL2: $o).
12.61/2.30	thf(decl_216, type, setukpairinjL: $o).
12.61/2.30	thf(decl_217, type, setukpairinjR11: $o).
12.61/2.30	thf(decl_218, type, setukpairinjR12: $o).
12.61/2.30	thf(decl_219, type, setukpairinjR1: $o).
12.61/2.30	thf(decl_220, type, upairequniteq: $o).
12.61/2.30	thf(decl_221, type, setukpairinjR2: $o).
12.61/2.30	thf(decl_222, type, setukpairinjR: $o).
12.61/2.30	thf(decl_223, type, ksndsingleton: $o).
12.61/2.30	thf(decl_224, type, ksnd: $i > $i).
12.61/2.30	thf(decl_225, type, ksndpairEq: $o).
12.61/2.30	thf(decl_226, type, kpairsurjEq: $o).
12.61/2.30	thf(decl_227, type, cartprodsndin: $o).
12.61/2.30	thf(decl_228, type, cartprodpairmemEL: $o).
12.61/2.30	thf(decl_229, type, cartprodpairmemER: $o).
12.61/2.30	thf(decl_230, type, cartprodmempaircEq: $o).
12.61/2.30	thf(decl_231, type, cartprodfstpairEq: $o).
12.61/2.30	thf(decl_232, type, cartprodsndpairEq: $o).
12.61/2.30	thf(decl_233, type, cartprodpairsurjEq: $o).
12.61/2.30	thf(decl_234, type, breln: $i > $i > $i > $o).
12.61/2.30	thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
12.61/2.30	thf(decl_236, type, dpsetconstrI: $o).
12.61/2.30	thf(decl_237, type, dpsetconstrSub: $o).
12.61/2.30	thf(decl_238, type, setOfPairsIsBReln: $o).
12.61/2.30	thf(decl_239, type, dpsetconstrERa: $o).
12.61/2.30	thf(decl_240, type, dpsetconstrEL1: $o).
12.61/2.30	thf(decl_241, type, dpsetconstrEL2: $o).
12.61/2.31	thf(decl_242, type, dpsetconstrER: $o).
12.61/2.31	thf(decl_243, type, func: $i > $i > $i > $o).
12.61/2.31	thf(decl_244, type, funcSet: $i > $i > $i).
12.61/2.31	thf(decl_245, type, funcImageSingleton: $o).
12.61/2.31	thf(decl_246, type, apProp: $o).
12.61/2.31	thf(decl_247, type, ap: $i > $i > $i > $i > $i).
12.61/2.31	thf(decl_248, type, app: $o).
12.61/2.31	thf(decl_249, type, infuncsetfunc: $o).
12.61/2.31	thf(decl_250, type, ap2p: $o).
12.61/2.31	thf(decl_251, type, funcinfuncset: $o).
12.61/2.31	thf(decl_252, type, lamProp: $o).
12.61/2.31	thf(decl_253, type, lam: $i > $i > ($i > $i) > $i).
12.61/2.31	thf(decl_254, type, lamp: $o).
12.61/2.31	thf(decl_255, type, lam2p: $o).
12.61/2.31	thf(decl_256, type, brelnall1: $o).
12.61/2.31	thf(decl_257, type, brelnall2: $o).
12.61/2.31	thf(decl_258, type, ex1E2: $o).
12.61/2.31	thf(decl_259, type, funcGraphProp1: $o).
12.61/2.31	thf(decl_260, type, funcGraphProp3: $o).
12.61/2.31	thf(decl_261, type, funcGraphProp2: $o).
12.61/2.31	thf(decl_262, type, funcextLem: $o).
12.61/2.31	thf(decl_263, type, funcGraphProp4: $o).
12.61/2.31	thf(decl_264, type, subbreln: $o).
12.61/2.31	thf(decl_265, type, eqbreln: $o).
12.61/2.31	thf(decl_266, type, funcext: $o).
12.61/2.31	thf(decl_267, type, funcext2: $o).
12.61/2.31	thf(decl_268, type, ap2apEq1: $o).
12.61/2.31	thf(decl_269, type, ap2apEq2: $o).
12.61/2.31	thf(decl_270, type, beta1: $o).
12.61/2.31	thf(decl_271, type, eta1: $o).
12.61/2.31	thf(decl_272, type, lam2lamEq: $o).
12.61/2.31	thf(decl_273, type, beta2: $o).
12.61/2.31	thf(decl_274, type, eta2: $o).
12.61/2.31	thf(decl_275, type, iffalseProp1: $o).
12.61/2.31	thf(decl_276, type, iffalseProp2: $o).
12.61/2.31	thf(decl_277, type, iftrueProp1: $o).
12.61/2.31	thf(decl_278, type, iftrueProp2: $o).
12.61/2.31	thf(decl_279, type, ifSingleton: $o).
12.61/2.31	thf(decl_280, type, if: $i > $o > $i > $i > $i).
12.61/2.31	thf(decl_281, type, ifp: $o).
12.61/2.31	thf(decl_282, type, theeq: $o).
12.61/2.31	thf(decl_283, type, iftrue: $o).
12.61/2.31	thf(decl_284, type, iffalse: $o).
12.61/2.31	thf(decl_285, type, iftrueorfalse: $o).
12.61/2.31	thf(decl_286, type, binintersectT_lem: $o).
12.61/2.31	thf(decl_287, type, binunionT_lem: $o).
12.61/2.31	thf(decl_288, type, powersetT_lem: $o).
12.61/2.31	thf(decl_289, type, setminusT_lem: $o).
12.61/2.31	thf(decl_290, type, complementT_lem: $o).
12.61/2.31	thf(decl_291, type, setextT: $o).
12.61/2.31	thf(decl_292, type, subsetTI: $o).
12.61/2.31	thf(decl_293, type, powersetTI1: $o).
12.61/2.31	thf(decl_294, type, powersetTE1: $o).
12.61/2.31	thf(decl_295, type, complementTI1: $o).
12.61/2.31	thf(decl_296, type, complementTE1: $o).
12.61/2.31	thf(decl_297, type, binintersectTELcontra: $o).
12.61/2.31	thf(decl_298, type, binintersectTERcontra: $o).
12.61/2.31	thf(decl_299, type, contrasubsetT: $o).
12.61/2.31	thf(decl_300, type, contrasubsetT1: $o).
12.61/2.31	thf(decl_301, type, contrasubsetT2: $o).
12.61/2.31	thf(decl_302, type, epred1_0: $o).
12.61/2.31	thf(decl_303, type, esk1_2: $i > $i > $i).
12.61/2.31	thf(decl_304, type, esk2_2: $i > $i > $i).
12.61/2.31	thf(decl_305, type, esk3_2: $i > $i > $i).
12.61/2.31	thf(decl_306, type, esk4_1: $i > $i).
12.61/2.31	thf(decl_307, type, esk5_2: ($i > $i > $o) > $i > $i).
12.61/2.31	thf(decl_308, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
12.61/2.31	thf(decl_309, type, esk7_2: ($i > $i > $o) > $i > $i).
12.61/2.31	thf(decl_310, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
12.61/2.31	thf(decl_311, type, esk9_1: $i > $i).
12.61/2.31	thf(decl_312, type, esk10_2: ($i > $o) > $i > $i).
12.61/2.31	thf(decl_313, type, esk11_2: ($i > $o) > $i > $i).
12.61/2.31	thf(decl_314, type, esk12_1: ($i > $o) > $i).
12.61/2.31	thf(decl_315, type, esk13_2: ($i > $o) > $i > $i).
12.61/2.31	thf(decl_316, type, esk14_1: ($i > $o) > $i).
12.61/2.31	thf(decl_317, type, esk15_2: $i > $i > $i).
12.61/2.31	thf(decl_318, type, esk16_2: $i > $i > $i).
12.61/2.31	thf(decl_319, type, esk17_1: $i > $i).
12.61/2.31	thf(decl_320, type, esk18_1: $i > $i).
12.61/2.31	thf(decl_321, type, esk19_1: $i > $i).
12.61/2.31	thf(decl_322, type, esk20_2: $i > $i > $i).
12.61/2.31	thf(decl_323, type, esk21_3: $i > $i > $o > $i).
12.61/2.31	thf(decl_324, type, esk22_2: ($i > $o) > $i > $i).
12.61/2.31	thf(decl_325, type, esk23_1: ($i > $o) > $i).
12.61/2.31	thf(decl_326, type, esk24_1: $i > $i).
12.61/2.31	thf(decl_327, type, esk25_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_328, type, esk26_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_329, type, esk27_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_330, type, esk28_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_331, type, esk29_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_332, type, esk30_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_333, type, esk31_2: ($i > $o) > $i > $i).
12.61/2.31	thf(decl_334, type, esk32_1: ($i > $o) > $i).
12.61/2.31	thf(decl_335, type, esk33_1: ($i > $o) > $i).
12.61/2.31	thf(decl_336, type, esk34_1: ($i > $o) > $i).
12.61/2.31	thf(decl_337, type, esk35_1: ($i > $o) > $i).
12.61/2.31	thf(decl_338, type, esk36_2: ($i > $o) > $i > $i).
12.61/2.31	thf(decl_339, type, esk37_1: ($i > $o) > $i).
12.61/2.31	thf(decl_340, type, esk38_2: ($i > $o) > $i > $i).
12.61/2.31	thf(decl_341, type, esk39_2: ($i > $o) > ($i > $o) > $i).
12.61/2.31	thf(decl_342, type, esk40_2: ($i > $o) > ($i > $o) > $i).
12.61/2.31	thf(decl_343, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
12.61/2.31	thf(decl_344, type, esk42_2: ($i > $o) > ($i > $o) > $i).
12.61/2.31	thf(decl_345, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
12.61/2.31	thf(decl_346, type, esk44_2: ($i > $o) > ($i > $o) > $i).
12.61/2.31	thf(decl_347, type, esk45_2: ($i > $o) > $i > $i).
12.61/2.31	thf(decl_348, type, esk46_2: ($i > $o) > ($i > $o) > $i).
12.61/2.31	thf(decl_349, type, esk47_2: ($i > $o) > ($i > $o) > $i).
12.61/2.31	thf(decl_350, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
12.61/2.31	thf(decl_351, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
12.61/2.31	thf(decl_352, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
12.61/2.31	thf(decl_353, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
12.61/2.31	thf(decl_354, type, esk52_2: $i > $i > $i).
12.61/2.31	thf(decl_355, type, esk53_2: $i > $i > $i).
12.61/2.31	thf(decl_356, type, esk54_2: $i > $i > $i).
12.61/2.31	thf(decl_357, type, esk55_3: $i > $i > $i > $i).
12.61/2.31	thf(decl_358, type, esk56_3: $i > $i > $i > $i).
12.61/2.31	thf(decl_359, type, esk57_2: $i > $i > $i).
12.61/2.31	thf(decl_360, type, esk58_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_361, type, esk59_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_362, type, esk60_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_363, type, esk61_3: $i > ($i > $o) > $i > $i).
12.61/2.31	thf(decl_364, type, esk62_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_365, type, esk63_2: $i > ($i > $o) > $i).
12.61/2.31	thf(decl_366, type, esk64_3: $i > $i > ($i > $i) > $i).
12.61/2.31	thf(decl_367, type, esk65_3: $i > $i > ($i > $i) > $i).
12.61/2.31	thf(decl_368, type, esk66_3: $i > $i > ($i > $i) > $i).
12.61/2.31	thf(decl_369, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
12.61/2.31	thf(decl_370, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
12.61/2.31	thf(decl_371, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
12.61/2.31	thf(decl_372, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
12.61/2.31	thf(decl_373, type, esk71_4: $i > $i > $i > $i > $i).
12.61/2.31	thf(decl_374, type, esk72_4: $i > $i > $i > $i > $i).
12.61/2.31	thf(decl_375, type, esk73_4: $i > $i > $i > $i > $i).
12.61/2.31	thf(decl_376, type, esk74_4: $i > $i > $i > $i > $i).
12.61/2.31	thf(decl_377, type, esk75_4: $i > $i > $i > $i > $i).
12.61/2.31	thf(decl_378, type, esk76_4: $i > $i > $i > $i > $i).
12.61/2.31	thf(decl_379, type, esk77_4: $i > $i > $i > $i > $i).
12.61/2.31	thf(decl_380, type, esk78_4: $i > $i > $i > $i > $i).
12.61/2.31	thf(decl_381, type, esk79_4: $i > $i > $i > $i > $i).
12.61/2.31	thf(decl_382, type, esk80_3: $i > $i > ($i > $i) > $i).
12.61/2.31	thf(decl_383, type, esk81_3: $i > $i > ($i > $i) > $i).
12.61/2.31	thf(decl_384, type, esk82_3: $i > $i > ($i > $i) > $i).
12.61/2.31	thf(decl_385, type, esk83_3: $i > $i > $i > $i).
12.61/2.31	thf(decl_386, type, esk84_3: $i > $i > $i > $i).
12.61/2.31	thf(decl_387, type, esk85_3: $i > $i > $i > $i).
12.61/2.31	thf(decl_388, type, esk86_3: $i > $i > $i > $i).
12.61/2.31	thf(decl_389, type, esk87_0: $i).
12.61/2.31	thf(decl_390, type, esk88_0: $i).
12.61/2.31	thf(decl_391, type, esk89_0: $i).
12.61/2.31	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', descr__Cong)).
12.61/2.31	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', exu)).
12.61/2.31	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', exuEu)).
12.61/2.31	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', exuE2)).
12.61/2.31	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', nonempty)).
12.61/2.31	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', nonemptyI)).
12.61/2.31	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', exuE1)).
12.61/2.31	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', descrp)).
12.61/2.31	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', replAx)).
12.61/2.31	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ex1E1)).
12.61/2.31	thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ex1)).
12.61/2.31	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ex1I)).
12.61/2.31	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setOfPairsIsBReln)).
12.61/2.31	thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', breln)).
12.61/2.31	thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ex1E2)).
12.61/2.31	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ex1I2)).
12.61/2.31	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', exu__Cong)).
12.61/2.31	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', exuE3u)).
12.61/2.31	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', exuI2)).
12.61/2.31	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', exuI3)).
12.61/2.31	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', exuI1)).
12.61/2.31	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', exuE3e)).
12.61/2.31	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', nonemptyI1)).
12.61/2.31	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', nonemptyE1)).
12.61/2.31	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', dsetconstrEL)).
12.61/2.31	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', singletonprop)).
12.61/2.31	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', kfstsingleton)).
12.61/2.31	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', dpsetconstrI)).
12.61/2.31	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', dpsetconstrSub)).
12.61/2.31	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', dpsetconstrERa)).
12.61/2.31	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', dpsetconstrEL2)).
12.61/2.31	thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', lamp)).
12.61/2.31	thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', brelnall2)).
12.61/2.31	thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subbreln)).
12.61/2.31	thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', beta1)).
12.61/2.31	thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', beta2)).
12.61/2.31	thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X39)&((X14)=(X2)))|(~((X39))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', iffalseProp1)).
12.61/2.31	thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X41)&((X14)=(X2)))|(~((X41))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', iftrueProp1)).
12.61/2.31	thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((X43)&((X14)=(X2)))|(~((X43))&((X14)=(X3))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ifSingleton)).
12.61/2.31	thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((X42)&((X14)=(X2)))|(~((X42))&((X14)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', iftrueProp2)).
12.61/2.31	thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((X40)&((X14)=(X2)))|(~((X40))&((X14)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', iffalseProp2)).
12.61/2.31	thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', eta2)).
12.61/2.31	thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', lam2lamEq)).
12.61/2.31	thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', eta1)).
12.61/2.31	thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', eqbreln)).
12.61/2.31	thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', brelnall1)).
12.61/2.31	thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', lam2p)).
12.61/2.31	thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', lamProp)).
12.61/2.31	thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', apProp)).
12.61/2.31	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', funcImageSingleton)).
12.61/2.31	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', dpsetconstrER)).
12.61/2.31	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', dpsetconstrEL1)).
12.61/2.31	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ksndsingleton)).
12.61/2.31	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', sepSubset)).
12.61/2.31	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', sepInPowerset)).
12.61/2.31	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', dsetconstr__Cong)).
12.61/2.31	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', emptyE1)).
12.61/2.31	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', nonemptyImpWitness)).
12.61/2.31	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setoftrueEq)).
12.61/2.31	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setbeta)).
12.61/2.31	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', dsetconstrER)).
12.61/2.31	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', dsetconstrI)).
12.61/2.31	thf(contrasubsetT3, conjecture, ((setextAx)=>((((powersetAx)=>((setunionAx)=>(((omegaSAx)=>((((foundationAx)=>((wellorderingAx)=>(((dsetconstrI)=>(((dsetconstrER)=>(((prop2setE)=>((((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>(((setbeta)=>(((((setadjoinIL)=>(((setadjoinIR)=>((setadjoinE)=>(((setoftrueEq)=>((powersetI)=>(((((setunionI)=>((setunionE)=>((subPowSU)=>(((nonemptyImpWitness)=>(((((singletonsswitch)=>(((((emptyE1)=>((((quantDeMorgan2)=>((quantDeMorgan3)=>((((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>(((exuE3u)=>((exu__Cong)=>(((((setunion__Cong)=>((((((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>(((emptysetsubset)=>((subsetE)=>((subsetE2)=>(((notequalI1)=>(((((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>(((((powersetsubset)=>(((((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((((binintersectI)=>(((binintersectEL)=>((binintersectLsub)=>((((binintersectER)=>((disjointsetsI1)=>((((((setminusI)=>((setminusEL)=>((setminusER)=>((((setminusELneg)=>(((setminusIRneg)=>((setminusLsub)=>(((symdiffE)=>(((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((((setukpairIR)=>(((kpairp)=>((singletonsubset)=>(((singletoninpowunion)=>((upairset2E)=>(((((ubforcartprodlem2)=>((ubforcartprodlem3)=>(((cartprodmempair1)=>((((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>(((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((((cartprodfstin)=>((((setukpairinjR11)=>((setukpairinjR12)=>((((((((kpairsurjEq)=>((cartprodsndin)=>((cartprodpairmemEL)=>(((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((dpsetconstrI)=>((dpsetconstrSub)=>((setOfPairsIsBReln)=>((dpsetconstrERa)=>(((dpsetconstrEL2)=>(((((app)=>((infuncsetfunc)=>(((((lamp)=>((((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>(((funcGraphProp2)=>((((subbreln)=>(((((ap2apEq1)=>((ap2apEq2)=>((beta1)=>((((beta2)=>(((iffalseProp1)=>(((iftrueProp1)=>(((((((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>(((complementT_lem)=>(((subsetTI)=>((powersetTI1)=>(((complementTI1)=>((((((![X4:$i, X21:$i]:((![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))<=(in @ X21 @ (powerset @ X4))))<=(contrasubsetT2))<=(contrasubsetT1))<=(contrasubsetT))<=(binintersectTERcontra))<=(binintersectTELcontra))<=(complementTE1)))<=(powersetTE1))))<=(setextT)))<=(setminusT_lem)))))))<=(iftrue))<=(theeq))<=(ifp))<=(ifSingleton))<=(iftrueProp2)))<=(iffalseProp2)))<=(eta2)))<=(lam2lamEq))<=(eta1)))))<=(funcext2))<=(funcext))<=(eqbreln)))<=(funcGraphProp4))<=(funcextLem)))<=(funcGraphProp3)))))<=(brelnall1))<=(lam2p)))<=(lamProp))<=(funcinfuncset))<=(ap2p))))<=(apProp))<=(funcImageSingleton))<=(dpsetconstrER)))<=(dpsetconstrEL1))))))))))<=(cartprodpairmemER)))))<=(ksndpairEq))<=(ksndsingleton))<=(setukpairinjR))<=(setukpairinjR2))<=(upairequniteq))<=(setukpairinjR1))))<=(setukpairinjL))<=(setukpairinjL2)))<=(kfstpairEq))<=(theprop)))))<=(ex1I2))))))))<=(setunionE2))<=(cartprodmempair)))<=(cartprodpairin))))<=(ubforcartprodlem1))<=(upairinpowunion))<=(upairsubunion))))<=(singletoninpowerset))))<=(kpairiskpair)))<=(setukpairIL))<=(secondinupair)))))<=(symdiffI1)))<=(setminusSubset1))))<=(setminusILneg)))<=(setminusERneg))<=(setminusSubset2)))))<=(bs114d))<=(binintersectSubset1))<=(binintersectSubset4))<=(binintersectRsub))))<=(binintersectSubset3))<=(binintersectSubset2))))<=(binintersectSubset5)))<=(binunionRsub))<=(binunionLsub))))))<=(binunionIL))<=(sepSubset))<=(sepInPowerset)))<=(inPowerset))<=(powersetE1))<=(powersetI1)))))))<=(subsetTrans))<=(subsetRefl))<=(notequalI2)))<=(notsubsetI)))))<=(subsetI2)))))<=(dsetconstr__Cong))<=(descr__Cong))<=(exuEu))<=(omega__Cong)))<=(powerset__Cong))<=(setadjoin__Cong))<=(emptyset__Cong))))<=(in__Cong)))))))))<=(prop2setI))<=(quantDeMorgan4))))<=(quantDeMorgan1))<=(vacuousDall)))<=(upairsetIR))<=(upairsetIL))<=(upairsetE)))<=(eqinunit))<=(notinsingleton))<=(uniqinunit)))<=(exuE2)))))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset))))<=(setadjoinOr))))<=(emptyinunitempty)))<=(nonemptyI1))<=(nonemptyI))<=(nonemptyE1)))<=(noeltsimpempty))))))<=(emptysetimpfalse))<=(emptysetE)))<=(exuE1)))<=(dsetconstrEL)))<=(descrp))))<=(replAx))<=(omegaIndAx)))<=(omega0Ax))))<=(setadjoinAx))<=(emptysetAx))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', contrasubsetT3)).
12.61/2.31	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusEL)).
12.61/2.31	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', emptyinPowerset)).
12.61/2.31	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', emptysetAx)).
12.61/2.31	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusI)).
12.61/2.31	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', omega__Cong)).
12.61/2.31	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', powerset__Cong)).
12.61/2.31	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', symdiffE)).
12.61/2.31	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setadjoin__Cong)).
12.61/2.31	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', emptyset__Cong)).
12.61/2.31	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', symdiffI2)).
12.61/2.31	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', in__Cong)).
12.61/2.31	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', prop2setI)).
12.61/2.31	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', quantDeMorgan4)).
12.61/2.31	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', symdiffIneg1)).
12.61/2.31	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', quantDeMorgan1)).
12.61/2.31	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', vacuousDall)).
12.61/2.31	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', symdiffIneg2)).
12.61/2.31	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', upairsetIR)).
12.61/2.31	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', upairsetIL)).
12.61/2.31	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', upairsetE)).
12.61/2.31	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', eqinunit)).
12.61/2.31	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setukpairIR)).
12.61/2.31	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', notinsingleton)).
12.61/2.31	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', uniqinunit)).
12.61/2.31	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', kpairp)).
12.61/2.31	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', powersetE)).
12.61/2.31	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', emptyInPowerset)).
12.61/2.31	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', cartprodfstin)).
12.61/2.31	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusER)).
12.61/2.31	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setadjoinOr)).
12.61/2.31	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', singletonsubset)).
12.61/2.31	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', emptyinunitempty)).
12.61/2.31	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', singletoninpowunion)).
12.61/2.31	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', noeltsimpempty)).
12.61/2.31	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', upairset2E)).
12.61/2.31	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', emptysetimpfalse)).
12.61/2.31	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', emptysetE)).
12.61/2.31	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ubforcartprodlem2)).
12.61/2.31	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ubforcartprodlem3)).
12.61/2.31	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', omegaIndAx)).
12.61/2.31	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', cartprodmempair1)).
12.61/2.31	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', omega0Ax)).
12.61/2.31	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setadjoinAx)).
12.61/2.31	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setunionsingleton1)).
12.61/2.31	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setunionsingleton2)).
12.61/2.31	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setunionsingleton)).
12.61/2.31	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', singletonsuniq)).
12.61/2.31	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setukpairinjL1)).
12.61/2.31	thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectT_lem)).
12.61/2.31	thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binunionT_lem)).
12.61/2.31	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setukpairinjR11)).
12.61/2.31	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setukpairinjR12)).
12.61/2.31	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', kpairsurjEq)).
12.61/2.31	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', cartprodsndin)).
12.61/2.31	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.W4e6Kc3P98/Vampire---4.8_28529', cartprodpairmemEL)).
12.61/2.31	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.W4e6Kc3P98/Vampire---4.8_28529', cartprodmempaircEq)).
12.61/2.31	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.W4e6Kc3P98/Vampire---4.8_28529', cartprodfstpairEq)).
12.61/2.31	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.W4e6Kc3P98/Vampire---4.8_28529', cartprodsndpairEq)).
12.61/2.31	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusELneg)).
12.61/2.31	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', cartprodpairsurjEq)).
12.61/2.31	thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', app)).
12.61/2.31	thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', infuncsetfunc)).
12.61/2.31	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusIRneg)).
12.61/2.31	thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', funcGraphProp1)).
12.61/2.31	thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', funcGraphProp2)).
12.61/2.31	thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ap2apEq1)).
12.61/2.31	thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ap2apEq2)).
12.61/2.31	thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', iffalse)).
12.61/2.31	thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', iftrueorfalse)).
12.61/2.31	thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', powersetT_lem)).
12.61/2.31	thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', complementT_lem)).
12.61/2.31	thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subsetTI)).
12.61/2.31	thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', powersetTI1)).
12.61/2.31	thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', complementTI1)).
12.61/2.31	thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', contrasubsetT2)).
12.61/2.31	thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', contrasubsetT1)).
12.61/2.31	thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', contrasubsetT)).
12.61/2.31	thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectTERcontra)).
12.61/2.31	thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectTELcontra)).
12.61/2.31	thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', complementTE1)).
12.61/2.31	thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', powersetTE1)).
12.61/2.31	thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setextT)).
12.61/2.31	thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusT_lem)).
12.61/2.31	thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', iftrue)).
12.61/2.31	thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', theeq)).
12.61/2.31	thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ifp)).
12.61/2.31	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusLsub)).
12.61/2.31	thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', funcext2)).
12.61/2.31	thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', funcext)).
12.61/2.31	thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', funcGraphProp4)).
12.61/2.31	thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', funcextLem)).
12.61/2.31	thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', funcGraphProp3)).
12.61/2.31	thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', funcinfuncset)).
12.61/2.31	thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ap2p)).
12.61/2.31	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', cartprodpairmemER)).
12.61/2.31	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ksndpairEq)).
12.61/2.31	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setukpairinjR)).
12.61/2.31	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setukpairinjR2)).
12.61/2.31	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', upairequniteq)).
12.61/2.31	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.W4e6Kc3P98/Vampire---4.8_28529', setukpairinjR1)).
12.61/2.31	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setukpairinjL)).
12.61/2.31	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setukpairinjL2)).
12.61/2.31	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', kfstpairEq)).
12.61/2.31	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', theprop)).
12.61/2.31	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setunionE2)).
12.61/2.31	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', cartprodmempair)).
12.61/2.31	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', cartprodpairin)).
12.61/2.31	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', ubforcartprodlem1)).
12.61/2.31	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', upairinpowunion)).
12.61/2.31	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', upairsubunion)).
12.61/2.31	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', singletoninpowerset)).
12.61/2.31	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', kpairiskpair)).
12.61/2.31	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setukpairIL)).
12.61/2.31	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', secondinupair)).
12.61/2.31	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', symdiffI1)).
12.61/2.31	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusSubset1)).
12.61/2.31	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusILneg)).
12.61/2.31	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusERneg)).
12.61/2.31	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setminusSubset2)).
12.61/2.31	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', bs114d)).
12.61/2.31	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectSubset1)).
12.61/2.31	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectSubset4)).
12.61/2.31	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectRsub)).
12.61/2.31	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectSubset3)).
12.61/2.31	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectSubset2)).
12.61/2.31	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectSubset5)).
12.61/2.31	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binunionRsub)).
12.61/2.31	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binunionLsub)).
12.61/2.31	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binunionIL)).
12.61/2.31	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', inPowerset)).
12.61/2.31	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', powersetE1)).
12.61/2.31	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', powersetI1)).
12.61/2.31	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subsetTrans)).
12.61/2.31	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subsetRefl)).
12.61/2.31	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', notequalI2)).
12.61/2.31	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', notsubsetI)).
12.61/2.31	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subsetI2)).
12.61/2.31	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', disjointsetsI1)).
12.61/2.31	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectER)).
12.61/2.31	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectLsub)).
12.61/2.31	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectEL)).
12.61/2.31	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binintersectI)).
12.61/2.31	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binunionE)).
12.61/2.31	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binunionEcases)).
12.61/2.31	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', binunionIR)).
12.61/2.31	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', upairset2IR)).
12.61/2.31	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', powersetsubset)).
12.61/2.31	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subsetemptysetimpeq)).
12.61/2.31	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setextsub)).
12.61/2.31	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subset2powerset)).
12.61/2.31	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setadjoinSub2)).
12.61/2.31	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setadjoinSub)).
12.61/2.31	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', notequalI1)).
12.61/2.31	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subsetE2)).
12.61/2.31	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subsetE)).
12.61/2.31	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', emptysetsubset)).
12.61/2.31	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', eqimpsubset1)).
12.61/2.31	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', eqimpsubset2)).
12.61/2.31	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subsetI1)).
12.61/2.31	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setunion__Cong)).
12.61/2.31	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', inCongP)).
12.61/2.31	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', notdallE)).
12.61/2.31	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', notdexE)).
12.61/2.31	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', quantDeMorgan3)).
12.61/2.31	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', quantDeMorgan2)).
12.61/2.31	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', singletonsswitch)).
12.61/2.31	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', subPowSU)).
12.61/2.31	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setunionE)).
12.61/2.31	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setunionI)).
12.61/2.31	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', powersetI)).
12.61/2.31	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setadjoinE)).
12.61/2.31	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setadjoinIR)).
12.61/2.31	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setadjoinIL)).
12.61/2.31	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', emptyI)).
12.61/2.31	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setext)).
12.61/2.31	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', notinemptyset)).
12.61/2.31	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', prop2setE)).
12.61/2.31	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', wellorderingAx)).
12.61/2.31	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', foundationAx)).
12.61/2.31	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', omegaSAx)).
12.61/2.31	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setunionAx)).
12.61/2.31	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', powersetAx)).
12.61/2.31	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.W4e6Kc3P98/Vampire---4.8_28529', setextAx)).
12.61/2.31	thf(c_0_246, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
12.61/2.31	thf(c_0_247, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
12.61/2.31	thf(c_0_248, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
12.61/2.31	thf(c_0_249, 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])).
12.61/2.31	thf(c_0_250, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
12.61/2.31	thf(c_0_251, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
12.61/2.31	thf(c_0_252, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
12.61/2.31	thf(c_0_253, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
12.61/2.31	thf(c_0_254, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
12.61/2.31	thf(c_0_255, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
12.61/2.31	thf(c_0_256, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((singleton @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))))), inference(fof_simplification,[status(thm)],[ex1])).
12.61/2.31	thf(c_0_257, 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])).
12.61/2.31	thf(c_0_258, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
12.61/2.31	thf(c_0_259, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
12.61/2.31	thf(c_0_260, 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])).
12.61/2.31	thf(c_0_261, 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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
12.61/2.31	thf(c_0_262, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
12.61/2.31	thf(c_0_263, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
12.61/2.31	thf(c_0_264, 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])).
12.61/2.31	thf(c_0_265, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
12.61/2.31	thf(c_0_266, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
12.61/2.31	thf(c_0_267, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
12.61/2.31	thf(c_0_268, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X826:$i]:((((X1 @ X826))&![X827:$i]:((((X1 @ X827))=>((X826)=(X827)))))))=>((?[X828:$i]:((((X17 @ X828))&![X829:$i]:((((X17 @ X829))=>((X828)=(X829)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_246, c_0_247])).
12.61/2.31	thf(c_0_269, plain, ((exuEu)=(![X1:$i > $o]:(((?[X824:$i]:((((X1 @ X824))&![X825:$i]:((((X1 @ X825))=>((X824)=(X825)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_248, c_0_247])).
12.61/2.31	thf(c_0_270, plain, ((exuE2)=(![X1:$i > $o]:(((?[X810:$i]:((((X1 @ X810))&![X811:$i]:((((X1 @ X811))=>((X810)=(X811)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_249, c_0_247])).
12.61/2.31	thf(c_0_271, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_250])).
12.61/2.31	thf(c_0_272, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_251, c_0_250])).
12.61/2.31	thf(c_0_273, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_250])).
12.61/2.31	thf(c_0_274, plain, ((exuE1)=(![X1:$i > $o]:(((?[X806:$i]:((((X1 @ X806))&![X807:$i]:((((X1 @ X807))=>((X806)=(X807)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_252, c_0_247])).
12.61/2.31	thf(c_0_275, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
12.61/2.31	thf(c_0_276, plain, ((descrp)=(![X1:$i > $o]:(((?[X804:$i]:((((X1 @ X804))&![X805:$i]:((((X1 @ X805))=>((X804)=(X805)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_253, c_0_247])).
12.61/2.31	thf(c_0_277, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X802:$i]:((((X6 @ X2 @ X802))&![X803:$i]:((((X6 @ X2 @ X803))=>((X802)=(X803)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_254, c_0_247])).
12.61/2.31	thf(c_0_278, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
12.61/2.31	thf(c_0_279, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_255, c_0_256])).
12.61/2.31	thf(c_0_280, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))))))))), inference(apply_def,[status(thm)],[c_0_257, c_0_256])).
12.61/2.31	thf(c_0_281, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
12.61/2.31	thf(c_0_282, 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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
12.61/2.31	thf(c_0_283, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
12.61/2.31	thf(c_0_284, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_258, c_0_259])).
12.61/2.31	thf(c_0_285, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
12.61/2.31	thf(c_0_286, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
12.61/2.31	thf(c_0_287, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
12.61/2.31	thf(c_0_288, axiom, ((brelnall2)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_259])).
12.61/2.31	thf(c_0_289, plain, ((ex1E2)=(![X4:$i, X1:$i > $o]:((((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_260, c_0_256])).
12.61/2.31	thf(c_0_290, axiom, ((subbreln)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X5)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35)))))))), inference(apply_def,[status(thm)],[subbreln, c_0_259])).
12.61/2.31	thf(c_0_291, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])).
12.61/2.31	thf(c_0_292, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])).
12.61/2.31	thf(c_0_293, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X39)&((Z0)=(X2)))|(~((X39))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
12.61/2.31	thf(c_0_294, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X41)&((Z0)=(X2)))|(~((X41))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
12.61/2.31	thf(c_0_295, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X43)&((Z0)=(X2)))|(~((X43))&((Z0)=(X3))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
12.61/2.31	thf(c_0_296, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X42)&((Z0)=(X2)))|(~((X42))&((Z0)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
12.61/2.31	thf(c_0_297, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X40)&((Z0)=(X2)))|(~((X40))&((Z0)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
12.61/2.31	thf(c_0_298, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
12.61/2.31	thf(c_0_299, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])).
12.61/2.31	thf(c_0_300, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
12.61/2.31	thf(c_0_301, axiom, ((eqbreln)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X5)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35)))))))))), inference(apply_def,[status(thm)],[eqbreln, c_0_259])).
12.61/2.31	thf(c_0_302, axiom, ((brelnall1)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_259])).
12.61/2.31	thf(c_0_303, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
12.61/2.31	thf(c_0_304, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
12.61/2.31	thf(c_0_305, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
12.61/2.31	thf(c_0_306, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
12.61/2.31	thf(c_0_307, 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:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
12.61/2.31	thf(c_0_308, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
12.61/2.31	thf(c_0_309, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
12.61/2.31	thf(c_0_310, plain, ((ex1I2)=(![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))))))))), inference(apply_def,[status(thm)],[c_0_261, c_0_256])).
12.61/2.31	thf(c_0_311, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
12.61/2.31	thf(c_0_312, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
12.61/2.31	thf(c_0_313, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
12.61/2.31	thf(c_0_314, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X820:$i]:((((X1 @ X820))&![X821:$i]:((((X1 @ X821))=>((X820)=(X821)))))))<=>(?[X822:$i]:((((X17 @ X822))&![X823:$i]:((((X17 @ X823))=>((X822)=(X823)))))))))))), inference(apply_def,[status(thm)],[c_0_262, c_0_247])).
12.61/2.31	thf(c_0_315, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X818:$i]:((((X1 @ X818))&![X819:$i]:((((X1 @ X819))=>((X818)=(X819)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_263, c_0_247])).
12.61/2.31	thf(c_0_316, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X816:$i]:((((X1 @ X816))&![X817:$i]:((((X1 @ X817))=>((X816)=(X817))))))))))), inference(apply_def,[status(thm)],[c_0_264, c_0_247])).
12.61/2.31	thf(c_0_317, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X814:$i]:((((X1 @ X814))&![X815:$i]:((((X1 @ X815))=>((X814)=(X815)))))))))))), inference(apply_def,[status(thm)],[c_0_265, c_0_247])).
12.61/2.31	thf(c_0_318, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X812:$i]:((((X1 @ X812))&![X813:$i]:((((X1 @ X813))=>((X812)=(X813))))))))))), inference(apply_def,[status(thm)],[c_0_266, c_0_247])).
12.61/2.31	thf(c_0_319, plain, ((emptyE1)<=>![X4:$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])).
12.61/2.31	thf(c_0_320, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_250])).
12.61/2.31	thf(c_0_321, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
12.61/2.31	thf(c_0_322, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
12.61/2.31	thf(c_0_323, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X808:$i]:((((X1 @ X808))&![X809:$i]:((((X1 @ X809))=>((X808)=(X809)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_267, c_0_247])).
12.61/2.31	thf(c_0_324, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
12.61/2.31	thf(c_0_325, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
12.61/2.31	thf(c_0_326, plain, ((epred1_0)<=>![X844:$i]:(?[X845:$i]:((((![X846:$i]:(((in @ X846 @ X845)=>![X847:$i]:(((in @ X847 @ X846)=>(in @ X847 @ X844)))))&![X848:$i, X849:$i]:((((in @ X848 @ X844)&(in @ X849 @ X844))=>(![X850:$i]:(((in @ X850 @ X845)=>((in @ X848 @ X850)<=>(in @ X849 @ X850))))=>((X848)=(X849))))))&![X851:$i, X852:$i]:((((in @ X851 @ X845)&(in @ X852 @ X845))=>(![X853:$i]:(((in @ X853 @ X851)=>(in @ X853 @ X852)))|![X854:$i]:(((in @ X854 @ X852)=>(in @ X854 @ X851)))))))&![X855:$i]:(((![X856:$i]:(((in @ X856 @ X855)=>(in @ X856 @ X844)))&?[X857:$i]:((in @ X857 @ X855)))=>?[X858:$i, X859:$i]:(((((in @ X858 @ X845)&(in @ X859 @ X855))&~(?[X860:$i]:(((in @ X860 @ X858)&(in @ X860 @ X855)))))&![X861:$i]:(((in @ X861 @ X845)=>(![X862:$i]:(((in @ X862 @ X861)=>(in @ X862 @ X858)))|(in @ X859 @ X861)))))))))))), introduced(definition)).
12.61/2.31	thf(c_0_327, negated_conjecture, ~((![X830:$i, X831:$i]:((![X832:$i]:(((in @ X832 @ X830)<=>(in @ X832 @ X831)))=>((X830)=(X831))))=>(![X1607:$i]:(~(in @ X1607 @ emptyset))=>(![X1604:$i, X1605:$i, X1606:$i]:(((in @ X1606 @ (setadjoin @ X1604 @ X1605))<=>(((X1606)=(X1604))|(in @ X1606 @ X1605))))=>(![X833:$i, X834:$i]:(((in @ X834 @ (powerset @ X833))<=>![X835:$i]:(((in @ X835 @ X834)=>(in @ X835 @ X833)))))=>(![X836:$i, X837:$i]:(((in @ X837 @ (setunion @ X836))<=>?[X838:$i]:(((in @ X837 @ X838)&(in @ X838 @ X836)))))=>((in @ emptyset @ omega)=>(![X839:$i]:(((in @ X839 @ omega)=>(in @ (setadjoin @ X839 @ X839) @ omega)))=>(![X1601:$i]:((((in @ emptyset @ X1601)&![X1602:$i]:((((in @ X1602 @ omega)&(in @ X1602 @ X1601))=>(in @ (setadjoin @ X1602 @ X1602) @ X1601))))=>![X1603:$i]:(((in @ X1603 @ omega)=>(in @ X1603 @ X1601)))))=>(![X1593:$i > $i > $o, X1594:$i]:((![X1595:$i]:(((in @ X1595 @ X1594)=>?[X1596:$i]:(((X1593 @ X1595 @ X1596)&![X1597:$i]:(((X1593 @ X1595 @ X1597)=>((X1596)=(X1597))))))))=>?[X1598:$i]:(![X1599:$i]:(((in @ X1599 @ X1598)<=>?[X1600:$i]:(((in @ X1600 @ X1594)&(X1593 @ X1600 @ X1599))))))))=>(![X840:$i]:((?[X841:$i]:((in @ X841 @ X840))=>?[X842:$i]:(((in @ X842 @ X840)&~(?[X843:$i]:(((in @ X843 @ X842)&(in @ X843 @ X840))))))))=>((epred1_0)=>(![X1590:$i > $o]:((?[X1591:$i]:(((X1590 @ X1591)&![X1592:$i]:(((X1590 @ X1592)=>((X1591)=(X1592))))))=>(X1590 @ (descr @ (^[Z0/* 3 */:$i]:((X1590 @ Z0)))))))=>(![X863:$i, X864:$i > $o, X865:$i]:(((in @ X865 @ X863)=>((X864 @ X865)=>(in @ X865 @ (dsetconstr @ X863 @ (^[Z0/* 3 */:$i]:((X864 @ Z0))))))))=>(![X1587:$i, X1588:$i > $o, X1589:$i]:(((in @ X1589 @ (dsetconstr @ X1587 @ (^[Z0/* 3 */:$i]:((X1588 @ Z0)))))=>(in @ X1589 @ X1587)))=>(![X866:$i, X867:$i > $o, X868:$i]:(((in @ X868 @ (dsetconstr @ X866 @ (^[Z0/* 3 */:$i]:((X867 @ Z0)))))=>(X867 @ X868)))=>(![X1582:$i > $o]:((?[X1583:$i]:(((X1582 @ X1583)&![X1584:$i]:(((X1582 @ X1584)=>((X1583)=(X1584))))))=>?[X1585:$i]:(((X1582 @ X1585)&![X1586:$i]:(((X1582 @ X1586)=>((X1585)=(X1586))))))))=>(![X869:$o, X870:$i]:(((in @ X870 @ (prop2set @ ((X869))))=>(X869)))=>(![X1580:$i]:(((in @ X1580 @ emptyset)=>![X1581:$o]:((X1581))))=>(![X1579:$i]:(~(in @ X1579 @ emptyset))=>(![X871:$i]:(~(in @ X871 @ emptyset))=>(![X872:$i > $o]:((?[X873:$i]:(((X872 @ X873)&![X874:$i]:(((X872 @ X874)=>((X873)=(X874))))))=>?[X875:$i]:((X872 @ X875))))=>(![X876:$i, X877:$i]:((![X878:$i]:(((in @ X878 @ X876)=>(in @ X878 @ X877)))=>(![X879:$i]:(((in @ X879 @ X877)=>(in @ X879 @ X876)))=>((X876)=(X877)))))=>(![X880:$i]:((![X881:$i]:(~(in @ X881 @ X880))=>((X880)=(emptyset))))=>(![X1577:$i]:((![X1578:$i]:(~(in @ X1578 @ X1577))=>((X1577)=(emptyset))))=>(![X882:$i, X883:$i > $o, X884:$i]:(((in @ X884 @ X882)=>((in @ X884 @ (dsetconstr @ X882 @ (^[Z0/* 3 */:$i]:((X883 @ Z0)))))<=>(X883 @ X884))))=>(![X1575:$i]:((((X1575)!=(emptyset))=>?[X1576:$i]:((in @ X1576 @ X1575))))=>(![X1572:$i, X1573:$i > $o, X1574:$i]:(((in @ X1574 @ X1572)=>((X1573 @ X1574)=>((dsetconstr @ X1572 @ (^[Z0/* 3 */:$i]:((X1573 @ Z0))))!=(emptyset)))))=>(![X1570:$i]:((?[X1571:$i]:((in @ X1571 @ X1570))=>((X1570)!=(emptyset))))=>(![X885:$i, X886:$i]:((in @ X885 @ (setadjoin @ X885 @ X886)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X887:$i, X888:$i, X889:$i]:(((in @ X889 @ X888)=>(in @ X889 @ (setadjoin @ X887 @ X888))))=>(![X890:$i, X891:$i, X892:$i]:(((in @ X892 @ (setadjoin @ X890 @ X891))=>![X893:$o]:(((((X892)=(X890))=>(X893))=>(((in @ X892 @ X891)=>(X893))=>(X893))))))=>(![X1567:$i, X1568:$i, X1569:$i]:(((in @ X1569 @ (setadjoin @ X1567 @ X1568))=>(((X1569)=(X1567))|(in @ X1569 @ X1568))))=>(![X894:$i]:(((dsetconstr @ X894 @ (^[Z0/* 3 */:$i]:(($true))))=(X894)))=>(![X895:$i, X896:$i]:((![X897:$i]:(((in @ X897 @ X896)=>(in @ X897 @ X895)))=>(in @ X896 @ (powerset @ X895))))=>(![X1566:$i]:((in @ emptyset @ (powerset @ X1566)))=>(![X1565:$i]:((in @ emptyset @ (powerset @ X1565)))=>(![X1562:$i, X1563:$i, X1564:$i]:(((in @ X1563 @ (powerset @ X1562))=>((in @ X1564 @ X1563)=>(in @ X1564 @ X1562))))=>(![X898:$i, X899:$i, X900:$i]:(((in @ X899 @ X900)=>((in @ X900 @ X898)=>(in @ X899 @ (setunion @ X898)))))=>(![X901:$i, X902:$i]:(((in @ X902 @ (setunion @ X901))=>![X903:$o]:((![X904:$i]:(((in @ X902 @ X904)=>((in @ X904 @ X901)=>(X903))))=>(X903)))))=>(![X905:$i, X906:$i]:(((in @ X906 @ X905)=>(in @ X906 @ (powerset @ (setunion @ X905)))))=>(![X1557:$i > $o]:((?[X1558:$i]:(((X1557 @ X1558)&![X1559:$i]:(((X1557 @ X1559)=>((X1558)=(X1559))))))=>?[X1560:$i]:(![X1561:$i]:(((X1557 @ X1561)<=>((X1561)=(X1560)))))))=>(![X907:$i]:((((X907)!=(emptyset))=>?[X908:$i]:((in @ X908 @ X907))))=>(![X1555:$i, X1556:$i]:(((in @ X1555 @ (setadjoin @ X1556 @ emptyset))=>((X1555)=(X1556))))=>(![X1553:$i, X1554:$i]:((((X1553)!=(X1554))=>~(in @ X1554 @ (setadjoin @ X1553 @ emptyset))))=>(![X1551:$i, X1552:$i]:((((X1551)=(X1552))=>(in @ X1551 @ (setadjoin @ X1552 @ emptyset))))=>(![X909:$i, X910:$i]:(((in @ X909 @ (setadjoin @ X910 @ emptyset))=>(in @ X910 @ (setadjoin @ X909 @ emptyset))))=>(![X1548:$i, X1549:$i, X1550:$i]:(((in @ X1550 @ (setadjoin @ X1548 @ (setadjoin @ X1549 @ emptyset)))=>(((X1550)=(X1548))|((X1550)=(X1549)))))=>(![X1546:$i, X1547:$i]:((in @ X1546 @ (setadjoin @ X1546 @ (setadjoin @ X1547 @ emptyset))))=>(![X1544:$i, X1545:$i]:((in @ X1545 @ (setadjoin @ X1544 @ (setadjoin @ X1545 @ emptyset))))=>(![X911:$i, X912:$i > $o]:((?[X913:$i]:(((in @ X913 @ X911)&(X912 @ X913)))=>((dsetconstr @ X911 @ (^[Z0/* 3 */:$i]:((X912 @ Z0))))!=(emptyset))))=>(![X1542:$i > $o, X1543:$i]:(((in @ X1543 @ emptyset)=>(X1542 @ X1543)))=>(![X1538:$i, X1539:$i > $o]:((~(![X1540:$i]:(((in @ X1540 @ X1538)=>(X1539 @ X1540))))=>?[X1541:$i]:(((in @ X1541 @ X1538)&~(X1539 @ X1541)))))=>(![X914:$i, X915:$i > $o]:((![X916:$i]:(((in @ X916 @ X914)=>~(X915 @ X916)))=>~(?[X917:$i]:(((in @ X917 @ X914)&(X915 @ X917))))))=>(![X918:$i, X919:$i > $o]:((~(?[X920:$i]:(((in @ X920 @ X918)&(X919 @ X920))))=>![X921:$i]:(((in @ X921 @ X918)=>~(X919 @ X921)))))=>(![X1534:$i, X1535:$i > $o]:((?[X1536:$i]:(((in @ X1536 @ X1534)&~(X1535 @ X1536)))=>~(![X1537:$i]:(((in @ X1537 @ X1534)=>(X1535 @ X1537))))))=>(![X1533:$o]:(((X1533)=>(in @ emptyset @ (prop2set @ ((X1533))))))=>((prop2set2propI)=>(![X922:$i, X923:$i > $o]:((~(?[X924:$i]:(((in @ X924 @ X922)&(X923 @ X924))))=>![X925:$i]:(((in @ X925 @ X922)=>~(X923 @ X925)))))=>(![X926:$i, X927:$i > $o]:((~(![X928:$i]:(((in @ X928 @ X926)=>(X927 @ X928))))=>?[X929:$i]:(((in @ X929 @ X926)&~(X927 @ X929)))))=>(![X930:$i > $o]:((?[X931:$i]:(((X930 @ X931)&![X932:$i]:(((X930 @ X932)=>((X931)=(X932))))))=>?[X933:$i]:(((X930 @ X933)&![X934:$i]:(((X930 @ X934)=>((X933)=(X934))))))))=>(![X935:$i > $o]:((?[X936:$i]:((X935 @ X936))=>(![X937:$i, X938:$i]:(((X935 @ X937)=>((X935 @ X938)=>((X937)=(X938)))))=>?[X939:$i]:(((X935 @ X939)&![X940:$i]:(((X935 @ X940)=>((X939)=(X940)))))))))=>(![X941:$i > $o]:((?[X942:$i]:(![X943:$i]:(((X941 @ X943)<=>((X943)=(X942)))))=>?[X944:$i]:(((X941 @ X944)&![X945:$i]:(((X941 @ X945)=>((X944)=(X945))))))))=>(![X946:$i, X947:$i]:((((X946)=(X947))=>![X948:$i, X949:$i]:((((X948)=(X949))=>((in @ X948 @ X946)=>(in @ X949 @ X947))))))=>(![X1529:$i, X1530:$i]:((((X1529)=(X1530))=>![X1531:$i, X1532:$i]:((((X1531)=(X1532))=>((in @ X1531 @ X1529)<=>(in @ X1532 @ X1530))))))=>(![X950:$i > $o]:((?[X951:$i]:(((X950 @ X951)&![X952:$i]:(((X950 @ X952)=>((X951)=(X952))))))=>![X953:$i, X954:$i]:(((X950 @ X953)=>((X950 @ X954)=>((X953)=(X954)))))))=>(![X955:$i > $o, X956:$i > $o]:((![X957:$i, X958:$i]:((((X957)=(X958))=>((X955 @ X957)<=>(X956 @ X958))))=>(?[X959:$i]:(((X955 @ X959)&![X960:$i]:(((X955 @ X960)=>((X959)=(X960))))))<=>?[X961:$i]:(((X956 @ X961)&![X962:$i]:(((X956 @ X962)=>((X961)=(X962)))))))))=>(((emptyset)=(emptyset))=>(![X1525:$i, X1526:$i]:((((X1525)=(X1526))=>![X1527:$i, X1528:$i]:((((X1527)=(X1528))=>((setadjoin @ X1525 @ X1527)=(setadjoin @ X1526 @ X1528))))))=>(![X1523:$i, X1524:$i]:((((X1523)=(X1524))=>((powerset @ X1523)=(powerset @ X1524))))=>(![X963:$i, X964:$i]:((((X963)=(X964))=>((setunion @ X963)=(setunion @ X964))))=>(((omega)=(omega))=>(![X1518:$i > $o]:((?[X1519:$i]:(((X1518 @ X1519)&![X1520:$i]:(((X1518 @ X1520)=>((X1519)=(X1520))))))=>![X1521:$i, X1522:$i]:(((X1518 @ X1521)=>((X1518 @ X1522)=>((X1521)=(X1522)))))))=>(![X1510:$i > $o, X1511:$i > $o]:((![X1512:$i, X1513:$i]:((((X1512)=(X1513))=>((X1510 @ X1512)<=>(X1511 @ X1513))))=>(?[X1514:$i]:(((X1510 @ X1514)&![X1515:$i]:(((X1510 @ X1515)=>((X1514)=(X1515))))))=>(?[X1516:$i]:(((X1511 @ X1516)&![X1517:$i]:(((X1511 @ X1517)=>((X1516)=(X1517))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1510 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X1511 @ Z0)))))))))=>(![X1504:$i, X1505:$i]:((((X1504)=(X1505))=>![X1506:$i > $o, X1507:$i > $o]:((![X1508:$i]:(((in @ X1508 @ X1504)=>![X1509:$i]:(((in @ X1509 @ X1505)=>(((X1508)=(X1509))=>((X1506 @ X1508)<=>(X1507 @ X1509)))))))=>((dsetconstr @ X1504 @ (^[Z0/* 3 */:$i]:((X1506 @ Z0))))=(dsetconstr @ X1505 @ (^[Z0/* 3 */:$i]:((X1507 @ Z0)))))))))=>(![X965:$i, X966:$i]:((![X967:$i]:(((in @ X967 @ X965)=>(in @ X967 @ X966)))=>(subset @ X965 @ X966)))=>(![X968:$i, X969:$i]:((((X968)=(X969))=>(subset @ X969 @ X968)))=>(![X970:$i, X971:$i]:((((X970)=(X971))=>(subset @ X970 @ X971)))=>(![X1501:$i, X1502:$i]:((![X1503:$i]:(((in @ X1503 @ X1501)=>(in @ X1503 @ X1502)))=>(subset @ X1501 @ X1502)))=>(![X972:$i]:((subset @ emptyset @ X972))=>(![X973:$i, X974:$i, X975:$i]:(((subset @ X973 @ X974)=>((in @ X975 @ X973)=>(in @ X975 @ X974))))=>(![X976:$i, X977:$i, X978:$i]:(((subset @ X976 @ X977)=>(~(in @ X978 @ X977)=>~(in @ X978 @ X976))))=>(![X1498:$i, X1499:$i, X1500:$i]:(((in @ X1500 @ X1498)=>(~(in @ X1500 @ X1499)=>~(subset @ X1498 @ X1499))))=>(![X979:$i, X980:$i]:((~(subset @ X979 @ X980)=>((X979)!=(X980))))=>(![X1495:$i, X1496:$i, X1497:$i]:(((in @ X1497 @ X1495)=>(~(in @ X1497 @ X1496)=>((X1495)!=(X1496)))))=>(![X1494:$i]:((subset @ X1494 @ X1494))=>(![X1491:$i, X1492:$i, X1493:$i]:(((subset @ X1491 @ 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X48))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_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)],[contrasubsetT3]), setminusEL]), emptyinPowerset]), emptysetAx]), c_0_268]), setminusI]), c_0_269]), omega__Cong]), powerset__Cong]), symdiffE]), setadjoin__Cong]), emptyset__Cong]), symdiffI2]), in__Cong]), prop2setI]), quantDeMorgan4]), symdiffIneg1]), quantDeMorgan1]), vacuousDall]), symdiffIneg2]), upairsetIR]), upairsetIL]), upairsetE]), eqinunit]), setukpairIR]), notinsingleton]), uniqinunit]), kpairp]), c_0_270]), powersetE]), emptyInPowerset]), cartprodfstin]), setminusER]), setadjoinOr]), singletonsubset]), emptyinunitempty]), c_0_271]), singletoninpowunion]), c_0_272]), c_0_273]), noeltsimpempty]), upairset2E]), emptysetimpfalse]), emptysetE]), ubforcartprodlem2]), c_0_274]), c_0_275]), c_0_276]), ubforcartprodlem3]), c_0_277]), omegaIndAx]), cartprodmempair1]), omega0Ax]), setadjoinAx]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_278]), c_0_279]), c_0_280]), singletonsuniq]), setukpairinjL1]), c_0_281]), binintersectT_lem]), binunionT_lem]), setukpairinjR11]), setukpairinjR12]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), setminusELneg]), cartprodpairsurjEq]), c_0_282]), c_0_283]), c_0_284]), c_0_285]), c_0_286]), app]), infuncsetfunc]), c_0_287]), c_0_288]), setminusIRneg]), c_0_289]), funcGraphProp1]), funcGraphProp2]), c_0_290]), ap2apEq1]), ap2apEq2]), c_0_291]), c_0_292]), c_0_293]), c_0_294]), iffalse]), iftrueorfalse]), powersetT_lem]), complementT_lem]), subsetTI]), powersetTI1]), complementTI1]), contrasubsetT2]), contrasubsetT1]), contrasubsetT]), binintersectTERcontra]), binintersectTELcontra]), complementTE1]), powersetTE1]), setextT]), setminusT_lem]), iftrue]), theeq]), ifp]), c_0_295]), c_0_296]), setminusLsub]), c_0_297]), c_0_298]), c_0_299]), c_0_300]), funcext2]), funcext]), c_0_301]), funcGraphProp4]), funcextLem]), funcGraphProp3]), c_0_302]), c_0_303]), c_0_304]), funcinfuncset]), ap2p]), c_0_305]), c_0_306]), c_0_307]), c_0_308]), cartprodpairmemER]), ksndpairEq]), c_0_309]), setukpairinjR]), setukpairinjR2]), upairequniteq]), setukpairinjR1]), setukpairinjL]), setukpairinjL2]), kfstpairEq]), theprop]), c_0_310]), setunionE2]), cartprodmempair]), cartprodpairin]), ubforcartprodlem1]), upairinpowunion]), upairsubunion]), singletoninpowerset]), kpairiskpair]), setukpairIL]), secondinupair]), symdiffI1]), setminusSubset1]), setminusILneg]), setminusERneg]), setminusSubset2]), bs114d]), binintersectSubset1]), binintersectSubset4]), binintersectRsub]), binintersectSubset3]), binintersectSubset2]), binintersectSubset5]), binunionRsub]), binunionLsub]), binunionIL]), c_0_311]), c_0_312]), inPowerset]), powersetE1]), powersetI1]), subsetTrans]), subsetRefl]), notequalI2]), notsubsetI]), subsetI2]), c_0_313]), disjointsetsI1]), binintersectER]), binintersectLsub]), binintersectEL]), binintersectI]), binunionE]), binunionEcases]), binunionIR]), upairset2IR]), powersetsubset]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub2]), setadjoinSub]), notequalI1]), subsetE2]), subsetE]), emptysetsubset]), eqimpsubset1]), eqimpsubset2]), subsetI1]), setunion__Cong]), c_0_314]), c_0_315]), inCongP]), c_0_316]), c_0_317]), c_0_318]), notdallE]), notdexE]), quantDeMorgan3]), quantDeMorgan2]), c_0_319]), singletonsswitch]), c_0_320]), subPowSU]), setunionE]), setunionI]), powersetI]), c_0_321]), setadjoinE]), setadjoinIR]), setadjoinIL]), c_0_322]), emptyI]), setext]), c_0_323]), notinemptyset]), prop2setE]), c_0_324]), c_0_325]), wellorderingAx]), foundationAx]), omegaSAx]), setunionAx]), powersetAx]), setextAx])])]), c_0_326])).
12.61/2.31	thf(c_0_328, negated_conjecture, ![X1608:$i, X1609:$i, X1611:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$i, X1616:$i, X1617:$i, X1618:$i, X1619:$i, X1621:$i, X1622:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i, X1630:$i, X1631:$i > $i > $o, X1632:$i, X1634:$i, X1637:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1644:$i, X1645:$i > $o, X1646:$i, X1648:$i, X1649:$i > $o, X1650:$i, X1651:$i, X1652:$i > $o, X1653:$i, X1654:$i, X1655:$i > $o, X1656:$i, X1657:$i > $o, X1658:$i, X1661:$i, X1662:$o, X1663:$i, X1664:$i, X1665:$o, X1666:$i, X1667:$i, X1668:$i > $o, X1669:$i, X1672:$i, X1673:$i, X1676:$i, X1678:$i, X1680:$i, X1681:$i > $o, X1682:$i, X1683:$i, X1685:$i, X1686:$i > $o, X1687:$i, X1688:$i, X1689:$i, X1690:$i, X1691:$i, X1692:$i, X1693:$i, X1694:$i, X1695:$i, X1696:$i, X1697:$i, X1698:$o, X1699:$i, X1700:$i, X1701:$i, X1702:$i, X1703:$i, X1704:$i, X1706:$i, X1707:$i, X1708:$i, X1709:$i, X1710:$i, X1711:$i, X1712:$i, X1713:$i, X1714:$i, X1715:$i, X1716:$o, X1718:$i, X1719:$i, X1720:$i > $o, X1721:$i, X1724:$i, X1725:$i, X1726:$i, X1728:$i, X1729:$i, X1730:$i, X1731:$i, X1732:$i, X1733:$i, X1734:$i, X1735:$i, X1736:$i, X1737:$i, X1738:$i, X1739:$i, X1740:$i, X1741:$i, X1742:$i, X1743:$i, X1744:$i > $o, X1745:$i, X1746:$i > $o, X1747:$i, X1748:$i, X1749:$i > $o, X1750:$i, X1752:$i, X1753:$i > $o, X1755:$i, X1756:$i, X1757:$i > $o, X1759:$i, X1760:$i, X1761:$i > $o, X1762:$i, X1764:$o, X1765:$i, X1766:$i > $o, X1768:$i, X1769:$i, X1770:$i > $o, X1771:$i, X1773:$i > $o, X1774:$i, X1777:$i, X1778:$i > $o, X1779:$i, X1783:$i, X1784:$i > $o, X1785:$i, X1788:$i, X1789:$i, X1790:$i, X1791:$i, X1792:$i, X1793:$i, X1794:$i, X1795:$i, X1796:$i, X1797:$i > $o, X1798:$i, X1800:$i, X1801:$i, X1802:$i > $o, X1803:$i > $o, X1806:$i, X1809:$i, X1810:$i, X1813:$i, X1814:$i, X1815:$i, X1816:$i, X1817:$i, X1818:$i, X1819:$i, X1820:$i, X1821:$i, X1822:$i > $o, X1823:$i, X1825:$i, X1826:$i, X1827:$i > $o, X1828:$i > $o, X1831:$i, X1833:$i, X1835:$i, X1836:$i, X1837:$i > $o, X1838:$i > $o, X1841:$i, X1842:$i, X1844:$i, X1845:$i, X1846:$i, X1847:$i, X1848:$i, X1849:$i, X1851:$i, X1852:$i, X1853:$i, X1854:$i, X1855:$i, X1856:$i, X1857:$i, X1858:$i, X1859:$i, X1860:$i, X1861:$i, X1862:$i, X1863:$i, X1864:$i, X1865:$i, X1866:$i, X1867:$i, X1868:$i, X1869:$i, X1870:$i, X1871:$i, X1872:$i, X1873:$i, X1874:$i, X1875:$i, X1876:$i, X1877:$i, X1878:$i, X1879:$i, X1880:$i, X1881:$i, X1882:$i, X1883:$i, X1884:$i, X1885:$i, X1886:$i, X1887:$i, X1888:$i > $o, X1889:$i, X1890:$i > $o, X1891:$i, X1892:$i, X1893:$i, X1894:$i, X1895:$i, X1896:$i, X1897:$i, X1898:$i, X1899:$i, X1900:$i, X1901:$i, X1902:$o, X1903:$i, X1904:$i, X1905:$i, X1906:$i, X1907:$i, X1908:$i, X1909:$i, X1910:$i, X1911:$i, X1912:$i, X1913:$i, X1914:$i, X1915:$i, X1916:$i, X1917:$i, X1918:$i, X1919:$i, X1920:$i, X1921:$i, X1922:$i, X1923:$i, X1924:$i, X1925:$i, X1926:$i, X1927:$i, X1928:$i, X1929:$i, X1931:$i, X1932:$i, X1933:$i, X1934:$i, X1935:$i, X1936:$i, X1937:$i, X1938:$i, X1939:$i, X1940:$i, X1941:$i, X1942:$i, X1943:$i, X1944:$i, X1945:$i, X1946:$i, X1947:$i, X1948:$i, X1949:$i, X1950:$i, X1951:$i, X1952:$i, X1953:$i, X1954:$i, X1955:$i, X1956:$i, X1957:$i, X1958:$i, X1959:$i, X1960:$i, X1961:$i, X1962:$i, X1963:$i, X1964:$i, X1965:$i, X1966:$i, X1967:$i, X1968:$i, X1969:$i, X1970:$o, X1971:$i, X1972:$i, X1973:$i, X1974:$i, X1975:$i, X1976:$i, X1977:$i, X1978:$i, X1979:$i, X1980:$i, X1981:$i, X1982:$i, X1983:$i, X1984:$i, X1985:$i, X1986:$i, X1987:$i, X1988:$i, X1989:$i, X1990:$i, X1991:$i, X1992:$i, X1993:$i, X1994:$i, X1995:$i, X1996:$i, X1997:$i, X1998:$i, X1999:$i, X2000:$i, X2001:$i, X2002:$i, X2003:$i, X2004:$i, X2005:$i, X2006:$i, X2007:$i, X2008:$i, X2009:$i, X2010:$i, X2011:$i, X2012:$i, X2013:$i, X2014:$i, X2015:$i, X2016:$i, X2017:$i, X2018:$i, X2019:$i, X2020:$i, X2021:$i, X2022:$i, X2023:$i, X2024:$i, X2025:$i, X2026:$i, X2027:$i, X2028:$i, X2029:$i, X2032:$i, X2033:$i, X2034:$i, X2035:$i, X2036:$i, X2038:$i, X2039:$i, X2040:$i, X2041:$i, X2042:$i > $o, X2045:$i, X2046:$i, X2047:$i > $o, X2049:$i, X2050:$i > $o, X2051:$i, X2053:$i, X2054:$i > $o, X2057:$i, X2058:$i, X2059:$i, X2060:$i, X2061:$i, X2062:$i, X2063:$i, X2064:$i, X2065:$i, X2066:$i, X2067:$i, X2068:$i, X2069:$i, X2070:$i, X2071:$i, X2072:$i, X2073:$i, X2074:$i, X2075:$i, X2076:$i, X2077:$i, X2078:$i, X2079:$i, X2080:$i, X2081:$i, X2082:$i, X2083:$i, X2084:$i, X2085:$i, X2086:$i, X2087:$i, X2088:$i, X2089:$i, X2090:$i, X2091:$i, X2092:$i, X2093:$i, X2094:$i, X2095:$i, X2096:$i, X2097:$i, X2098:$i, X2099:$i, X2100:$i, X2101:$i, X2102:$i, X2103:$i, X2104:$i, X2105:$i, X2106:$i, X2107:$i, X2108:$i, X2109:$i, X2110:$i, X2111:$i, X2112:$i, X2113:$i, X2114:$i, X2115:$i, X2116:$i, X2117:$i, X2118:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i, X2127:$i, X2128:$i, X2129:$i > $i > $o, X2130:$i, X2131:$i, X2132:$i, X2133:$i, X2134:$i > $i > $o, X2135:$i, X2136:$i, X2137:$i > $i > $o, X2138:$i, X2139:$i, X2140:$i > $i > $o, X2141:$i, X2142:$i, X2143:$i, X2144:$i, X2145:$i > $i > $o, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i > $i > $o, X2151:$i, X2152:$i, X2153:$i, X2154:$i, X2155:$i > $i > $o, X2156:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$i, X2162:$i, X2163:$i, X2164:$i, X2165:$i, X2166:$i, X2167:$i, X2168:$i, X2169:$i, X2170:$i, X2171:$i, X2172:$i, X2173:$i, X2174:$i, X2175:$i, X2176:$i, X2177:$i, X2178:$i, X2179:$i, X2180:$i, X2181:$i, X2182:$i > $i, X2184:$i, X2185:$i, X2186:$i > $i, X2188:$i, X2189:$i, X2190:$i > $i, X2192:$i, X2193:$i, X2194:$i, X2195:$i > $o, X2198:$i, X2199:$i, X2200:$i, X2201:$i, X2202:$i > $o, X2205:$i, X2206:$i, X2207:$i > $o, X2208:$i, X2209:$i, X2210:$i, X2211:$i, X2212:$i, X2213:$i, X2214:$i, X2215:$i, X2216:$i, X2217:$i, X2218:$i, X2219:$i, X2220:$i, X2221:$i, X2222:$i, X2223:$i, X2224:$i, X2225:$i, X2226:$i, X2228:$i, X2229:$i, X2230:$i, X2231:$i, X2232:$i, X2233:$i, X2234:$i, X2235:$i, X2236:$i, X2237:$i, X2238:$i, X2241:$i, X2242:$i, X2243:$i, X2244:$i, X2249:$i, X2250:$i, X2251:$i, X2252:$i, X2254:$i, X2255:$i, X2256:$i, X2257:$i, X2259:$i, X2260:$i, X2261:$i, X2262:$i, X2263:$i, X2264:$i, X2265:$i, X2266:$i, X2267:$i, X2268:$i, X2269:$i > $i, X2271:$i, X2272:$i, X2273:$i, X2274:$i, X2275:$i, X2276:$i, X2277:$i > $i, X2279:$i, X2280:$i, X2281:$i > $i, X2283:$i, X2284:$i, X2285:$i, X2286:$i, X2287:$i, X2288:$o, X2289:$i, X2290:$i, X2291:$i, X2292:$o, X2293:$i, X2294:$i, X2295:$i, X2296:$o, X2297:$i, X2298:$i, X2299:$i, X2300:$o, X2301:$i, X2302:$i, X2303:$i, X2304:$o, X2305:$i, X2306:$i, X2307:$i, X2308:$o, X2309:$i, X2310:$i, X2311:$i, X2312:$i, X2313:$i, X2314:$o, X2315:$i, X2316:$i, X2317:$i, X2318:$o, X2319:$i, X2320:$i, X2321:$i, X2322:$o, X2323:$i, X2324:$i, X2325:$i, X2326:$i, X2327:$i, X2328:$i, X2329:$i, X2330:$i, X2331:$i, X2332:$i, X2333:$i, X2334:$i, X2335:$i, X2336:$i, X2337:$i, X2338:$i, X2339:$i, X2340:$i, X2343:$i, X2344:$i, X2345:$i, X2347:$i, X2348:$i, X2349:$i, X2351:$i, X2352:$i, X2353:$i, X2354:$i, X2355:$i, X2356:$i, X2357:$i, 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X2236)))&(((in @ (esk73_4 @ X2235 @ X2236 @ X2237 @ X2238) @ X2236)|(subset @ X2237 @ X2238)|~(subset @ X2238 @ (cartprod @ X2235 @ X2236))|~(subset @ X2237 @ (cartprod @ X2235 @ X2236)))&(((in @ (kpair @ (esk72_4 @ X2235 @ X2236 @ X2237 @ X2238) @ (esk73_4 @ X2235 @ X2236 @ X2237 @ X2238)) @ X2237)|(subset @ X2237 @ X2238)|~(subset @ X2238 @ (cartprod @ X2235 @ X2236))|~(subset @ X2237 @ (cartprod @ X2235 @ X2236)))&(~(in @ (kpair @ (esk72_4 @ X2235 @ X2236 @ X2237 @ X2238) @ (esk73_4 @ X2235 @ X2236 @ X2237 @ X2238)) @ X2238)|(subset @ X2237 @ X2238)|~(subset @ X2238 @ (cartprod @ X2235 @ X2236))|~(subset @ X2237 @ (cartprod @ X2235 @ X2236))))))&(((((in @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2241)|((X2243)=(X2244))|(in @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2241)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(((in @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2242)|((X2243)=(X2244))|(in @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2241)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(((in @ (kpair @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2244)|((X2243)=(X2244))|(in @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2241)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(~(in @ (kpair @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2243)|((X2243)=(X2244))|(in @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2241)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242))))))&((((in @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2241)|((X2243)=(X2244))|(in @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2242)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(((in @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2242)|((X2243)=(X2244))|(in @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2242)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(((in @ (kpair @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2244)|((X2243)=(X2244))|(in @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2242)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(~(in @ (kpair @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2243)|((X2243)=(X2244))|(in @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2242)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242))))))&((((in @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2241)|((X2243)=(X2244))|(in @ (kpair @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2243)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(((in @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2242)|((X2243)=(X2244))|(in @ (kpair @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2243)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(((in @ (kpair @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2244)|((X2243)=(X2244))|(in @ (kpair @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2243)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(~(in @ (kpair @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2243)|((X2243)=(X2244))|(in @ (kpair @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2243)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242))))))&(((in @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2241)|((X2243)=(X2244))|~(in @ (kpair @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2244)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(((in @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244) @ X2242)|((X2243)=(X2244))|~(in @ (kpair @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2244)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(((in @ (kpair @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2244)|((X2243)=(X2244))|~(in @ (kpair @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2244)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))&(~(in @ (kpair @ (esk76_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk77_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2243)|((X2243)=(X2244))|~(in @ (kpair @ (esk74_4 @ X2241 @ X2242 @ X2243 @ X2244) @ (esk75_4 @ X2241 @ X2242 @ X2243 @ X2244)) @ X2244)|~(subset @ X2244 @ (cartprod @ X2241 @ X2242))|~(subset @ X2243 @ (cartprod @ X2241 @ X2242)))))))))&((((in @ (esk78_4 @ X2249 @ X2250 @ X2251 @ X2252) @ X2249)|((X2251)=(X2252))|~(func @ X2249 @ X2250 @ X2252)|~(func @ X2249 @ X2250 @ X2251))&(((ap @ X2249 @ X2250 @ X2251 @ (esk78_4 @ X2249 @ X2250 @ X2251 @ X2252))!=(ap @ X2249 @ X2250 @ X2252 @ (esk78_4 @ X2249 @ X2250 @ X2251 @ X2252)))|((X2251)=(X2252))|~(func @ X2249 @ X2250 @ X2252)|~(func @ X2249 @ X2250 @ X2251)))&((((in @ (esk79_4 @ X2254 @ X2255 @ X2256 @ X2257) @ X2254)|((X2256)=(X2257))|~(in @ X2257 @ (funcSet @ X2254 @ X2255))|~(in @ X2256 @ (funcSet @ X2254 @ X2255)))&(((ap @ X2254 @ X2255 @ X2256 @ (esk79_4 @ X2254 @ X2255 @ X2256 @ X2257))!=(ap @ X2254 @ X2255 @ X2257 @ (esk79_4 @ X2254 @ X2255 @ X2256 @ X2257)))|((X2256)=(X2257))|~(in @ X2257 @ (funcSet @ X2254 @ X2255))|~(in @ X2256 @ (funcSet @ X2254 @ X2255))))&((~(in @ X2261 @ (funcSet @ X2259 @ X2260))|(~(in @ X2262 @ X2259)|((ap @ X2259 @ X2260 @ X2261 @ X2262)=(ap @ X2259 @ X2260 @ X2261 @ X2262))))&((~(func @ X2263 @ X2264 @ X2265)|(~(in @ X2266 @ X2263)|((ap @ X2263 @ X2264 @ X2265 @ X2266)=(ap @ X2263 @ X2264 @ X2265 @ X2266))))&((((in @ (esk80_3 @ X2267 @ X2268 @ X2269) @ X2267)|(~(in @ X2271 @ X2267)|((ap @ X2267 @ X2268 @ (lam @ X2267 @ X2268 @ X2269) @ X2271)=(X2269 @ X2271))))&(~(in @ (X2269 @ (esk80_3 @ X2267 @ X2268 @ X2269)) @ X2268)|(~(in @ X2271 @ X2267)|((ap @ X2267 @ X2268 @ (lam @ X2267 @ X2268 @ X2269) @ X2271)=(X2269 @ X2271)))))&((~(func @ X2272 @ X2273 @ X2274)|((lam @ X2272 @ X2273 @ (ap @ X2272 @ X2273 @ X2274))=(X2274)))&((((in @ (esk81_3 @ X2275 @ X2276 @ X2277) @ X2275)|((lam @ X2275 @ X2276 @ X2277)=(lam @ X2275 @ X2276 @ X2277)))&(~(in @ (X2277 @ (esk81_3 @ X2275 @ X2276 @ X2277)) @ X2276)|((lam @ X2275 @ X2276 @ X2277)=(lam @ X2275 @ X2276 @ X2277))))&((((in @ (esk82_3 @ X2279 @ X2280 @ X2281) @ X2279)|(~(in @ X2283 @ X2279)|((ap @ X2279 @ X2280 @ (lam @ X2279 @ X2280 @ X2281) @ X2283)=(X2281 @ X2283))))&(~(in @ (X2281 @ (esk82_3 @ X2279 @ X2280 @ X2281)) @ X2280)|(~(in @ X2283 @ X2279)|((ap @ X2279 @ X2280 @ (lam @ X2279 @ X2280 @ X2281) @ X2283)=(X2281 @ X2283)))))&((~(in @ X2286 @ (funcSet @ X2284 @ X2285))|((lam @ X2284 @ X2285 @ (ap @ X2284 @ X2285 @ X2286))=(X2286)))&((~(in @ X2289 @ X2287)|(~(in @ X2290 @ X2287)|((X2288)|(in @ X2290 @ (dsetconstr @ X2287 @ (^[Z0/* 9 */:$i]:((((X2288)&((Z0)=(X2289)))|(~((X2288))&((Z0)=(X2290)))))))))))&((~(in @ X2293 @ X2291)|(~(in @ X2294 @ X2291)|((X2292)|((dsetconstr @ X2291 @ (^[Z0/* 9 */:$i]:((((X2292)&((Z0)=(X2293)))|(~((X2292))&((Z0)=(X2294)))))))=(setadjoin @ X2294 @ emptyset)))))&((~(in @ X2297 @ X2295)|(~(in @ X2298 @ X2295)|(~(X2296)|(in @ X2297 @ (dsetconstr @ X2295 @ (^[Z0/* 9 */:$i]:((((X2296)&((Z0)=(X2297)))|(~((X2296))&((Z0)=(X2298)))))))))))&((~(in @ X2301 @ X2299)|(~(in @ X2302 @ X2299)|(~(X2300)|((dsetconstr @ X2299 @ (^[Z0/* 9 */:$i]:((((X2300)&((Z0)=(X2301)))|(~((X2300))&((Z0)=(X2302)))))))=(setadjoin @ X2301 @ emptyset)))))&((~(in @ X2305 @ X2303)|(~(in @ X2306 @ X2303)|(singleton @ (dsetconstr @ X2303 @ (^[Z0/* 9 */:$i]:((((X2304)&((Z0)=(X2305)))|(~((X2304))&((Z0)=(X2306))))))))))&((~(in @ X2309 @ X2307)|(~(in @ X2310 @ X2307)|(in @ (if @ X2307 @ ((X2308)) @ X2309 @ X2310) @ X2307)))&((~(singleton @ X2311)|(~(in @ X2312 @ X2311)|((setunion @ X2311)=(X2312))))&((~(in @ X2315 @ X2313)|(~(in @ X2316 @ X2313)|(~(X2314)|((if @ X2313 @ ((X2314)) @ X2315 @ X2316)=(X2315)))))&((~(in @ X2319 @ X2317)|(~(in @ X2320 @ X2317)|((X2318)|((if @ X2317 @ ((X2318)) @ X2319 @ X2320)=(X2320)))))&((~(in @ X2323 @ X2321)|(~(in @ X2324 @ X2321)|(in @ (if @ X2321 @ ((X2322)) @ X2323 @ X2324) @ (setadjoin @ X2323 @ (setadjoin @ X2324 @ emptyset)))))&((~(in @ X2326 @ (powerset @ X2325))|(~(in @ X2327 @ (powerset @ X2325))|(in @ (binintersect @ X2326 @ X2327) @ (powerset @ X2325))))&((~(in @ X2329 @ (powerset @ X2328))|(~(in @ X2330 @ (powerset @ X2328))|(in @ (binunion @ X2329 @ X2330) @ (powerset @ X2328))))&((~(in @ X2332 @ (powerset @ X2331))|(in @ (powerset @ X2332) @ (powerset @ (powerset @ X2331))))&((~(in @ X2334 @ (powerset @ X2333))|(~(in @ X2335 @ (powerset @ X2333))|(in @ (setminus @ X2334 @ X2335) @ (powerset @ X2333))))&((~(in @ X2337 @ (powerset @ X2336))|(in @ (setminus @ X2336 @ X2337) @ (powerset @ X2336)))&(((((in @ (esk84_3 @ X2338 @ X2339 @ X2340) @ X2338)|((X2339)=(X2340))|(in @ (esk83_3 @ X2338 @ X2339 @ X2340) @ X2338)|~(in @ X2340 @ (powerset @ X2338))|~(in @ X2339 @ (powerset @ X2338)))&(((in @ (esk84_3 @ X2338 @ X2339 @ X2340) @ X2340)|((X2339)=(X2340))|(in @ (esk83_3 @ X2338 @ X2339 @ X2340) @ X2338)|~(in @ X2340 @ (powerset @ X2338))|~(in @ X2339 @ (powerset @ X2338)))&(~(in @ (esk84_3 @ X2338 @ X2339 @ X2340) @ X2339)|((X2339)=(X2340))|(in @ (esk83_3 @ X2338 @ X2339 @ X2340) @ X2338)|~(in @ X2340 @ (powerset @ X2338))|~(in @ X2339 @ (powerset @ X2338)))))&((((in @ (esk84_3 @ X2338 @ X2339 @ X2340) @ X2338)|((X2339)=(X2340))|(in @ (esk83_3 @ X2338 @ X2339 @ X2340) @ X2339)|~(in @ X2340 @ (powerset @ X2338))|~(in @ X2339 @ (powerset @ X2338)))&(((in @ (esk84_3 @ X2338 @ X2339 @ X2340) @ X2340)|((X2339)=(X2340))|(in @ (esk83_3 @ X2338 @ X2339 @ X2340) @ X2339)|~(in @ X2340 @ (powerset @ X2338))|~(in @ X2339 @ (powerset @ X2338)))&(~(in @ (esk84_3 @ X2338 @ X2339 @ X2340) @ X2339)|((X2339)=(X2340))|(in @ (esk83_3 @ X2338 @ X2339 @ X2340) @ X2339)|~(in @ X2340 @ (powerset @ X2338))|~(in @ X2339 @ (powerset @ X2338)))))&(((in @ (esk84_3 @ X2338 @ X2339 @ X2340) @ X2338)|((X2339)=(X2340))|~(in @ (esk83_3 @ X2338 @ X2339 @ X2340) @ X2340)|~(in @ X2340 @ (powerset @ X2338))|~(in @ X2339 @ (powerset @ X2338)))&(((in @ (esk84_3 @ X2338 @ X2339 @ X2340) @ X2340)|((X2339)=(X2340))|~(in @ (esk83_3 @ X2338 @ X2339 @ X2340) @ X2340)|~(in @ X2340 @ (powerset @ X2338))|~(in @ X2339 @ (powerset @ X2338)))&(~(in @ (esk84_3 @ X2338 @ X2339 @ X2340) @ X2339)|((X2339)=(X2340))|~(in @ (esk83_3 @ X2338 @ X2339 @ X2340) @ X2340)|~(in @ X2340 @ (powerset @ X2338))|~(in @ X2339 @ (powerset @ X2338)))))))&((((in @ (esk85_3 @ X2343 @ X2344 @ X2345) @ X2343)|(subset @ X2344 @ X2345)|~(in @ X2345 @ (powerset @ X2343))|~(in @ X2344 @ (powerset @ X2343)))&(((in @ (esk85_3 @ X2343 @ X2344 @ X2345) @ X2344)|(subset @ X2344 @ X2345)|~(in @ X2345 @ (powerset @ X2343))|~(in @ X2344 @ (powerset @ X2343)))&(~(in @ (esk85_3 @ X2343 @ X2344 @ X2345) @ X2345)|(subset @ X2344 @ X2345)|~(in @ X2345 @ (powerset @ X2343))|~(in @ X2344 @ (powerset @ X2343)))))&((((in @ (esk86_3 @ X2347 @ X2348 @ X2349) @ X2347)|(in @ X2348 @ (powerset @ X2349))|~(in @ X2349 @ (powerset @ X2347))|~(in @ X2348 @ (powerset @ X2347)))&(((in @ (esk86_3 @ X2347 @ X2348 @ X2349) @ X2348)|(in @ X2348 @ (powerset @ X2349))|~(in @ X2349 @ (powerset @ X2347))|~(in @ X2348 @ (powerset @ X2347)))&(~(in @ (esk86_3 @ X2347 @ X2348 @ X2349) @ X2349)|(in @ X2348 @ (powerset @ X2349))|~(in @ X2349 @ (powerset @ X2347))|~(in @ X2348 @ (powerset @ X2347)))))&((~(in @ X2352 @ (powerset @ X2351))|(~(in @ X2353 @ (powerset @ X2351))|(~(in @ X2354 @ X2351)|(~(in @ X2352 @ (powerset @ X2353))|(~(in @ X2354 @ X2352)|(in @ X2354 @ X2353))))))&((~(in @ X2356 @ (powerset @ X2355))|(~(in @ X2357 @ X2355)|(~(in @ X2357 @ X2356)|~(in @ X2357 @ (setminus @ X2355 @ X2356)))))&((~(in @ X2359 @ (powerset @ X2358))|(~(in @ X2360 @ X2358)|((in @ X2360 @ (setminus @ X2358 @ X2359))|(in @ X2360 @ X2359))))&((~(in @ X2362 @ (powerset @ X2361))|(~(in @ X2363 @ (powerset @ X2361))|(~(in @ X2364 @ X2361)|((in @ X2364 @ X2362)|~(in @ X2364 @ (binintersect @ X2362 @ X2363))))))&((~(in @ X2366 @ (powerset @ X2365))|(~(in @ X2367 @ (powerset @ X2365))|(~(in @ X2368 @ X2365)|((in @ X2368 @ X2367)|~(in @ X2368 @ (binintersect @ X2366 @ X2367))))))&((~(in @ X2370 @ (powerset @ X2369))|(~(in @ X2371 @ (powerset @ X2369))|(~(in @ X2372 @ X2369)|(~(subset @ X2370 @ (setminus @ X2369 @ X2371))|(~(in @ X2372 @ X2371)|~(in @ X2372 @ X2370))))))&((~(in @ X2374 @ (powerset @ X2373))|(~(in @ X2375 @ (powerset @ X2373))|(~(in @ X2376 @ X2373)|(~(subset @ X2374 @ X2375)|((in @ X2376 @ X2375)|~(in @ X2376 @ X2374))))))&((~(in @ X2378 @ (powerset @ X2377))|(~(in @ X2379 @ (powerset @ X2377))|(~(subset @ X2378 @ X2379)|(subset @ (setminus @ X2377 @ X2379) @ (setminus @ X2377 @ X2378)))))&((in @ esk88_0 @ (powerset @ esk87_0))&((in @ esk89_0 @ (powerset @ esk87_0))&((subset @ (setminus @ esk87_0 @ esk89_0) @ (setminus @ esk87_0 @ esk88_0))&~(subset @ esk88_0 @ esk89_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_327])])])])])])).
12.61/2.31	thf(c_0_329, negated_conjecture, ![X3:$i, X5:$i, X4:$i, X2:$i]:((~((in @ X2 @ (powerset @ X3)))|~((in @ X4 @ (powerset @ X3)))|~((in @ X5 @ X3))|~((subset @ X2 @ (setminus @ X3 @ X4)))|~((in @ X5 @ X4))|~((in @ X5 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_328])).
12.61/2.31	thf(c_0_330, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((in @ X2 @ (powerset @ X3)))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_328])).
12.61/2.31	thf(c_0_331, negated_conjecture, ![X3:$i, X5:$i, X4:$i, X2:$i]:((~((subset @ X2 @ (setminus @ X3 @ X4)))|~((in @ X4 @ (powerset @ X3)))|~((in @ X2 @ (powerset @ X3)))|~((in @ X5 @ X4))|~((in @ X5 @ X2)))), inference(csr,[status(thm)],[c_0_329, c_0_330])).
12.61/2.31	thf(c_0_332, negated_conjecture, (subset @ (setminus @ esk87_0 @ esk89_0) @ (setminus @ esk87_0 @ esk88_0)), inference(split_conjunct,[status(thm)],[c_0_328])).
12.61/2.31	thf(c_0_333, negated_conjecture, (in @ esk88_0 @ (powerset @ esk87_0)), inference(split_conjunct,[status(thm)],[c_0_328])).
12.61/2.31	thf(c_0_334, negated_conjecture, ![X2:$i]:((~((in @ (setminus @ esk87_0 @ esk89_0) @ (powerset @ esk87_0)))|~((in @ X2 @ (setminus @ esk87_0 @ esk89_0)))|~((in @ X2 @ esk88_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331, c_0_332]), c_0_333])])).
12.61/2.31	thf(c_0_335, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ (powerset @ X3))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_328])).
12.61/2.31	thf(c_0_336, negated_conjecture, ![X3:$i, X2:$i]:((subset @ (setminus @ X2 @ X3) @ X2)), inference(split_conjunct,[status(thm)],[c_0_328])).
12.61/2.31	thf(c_0_337, negated_conjecture, ![X2:$i]:((~((in @ X2 @ (setminus @ esk87_0 @ esk89_0)))|~((in @ X2 @ esk88_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334, c_0_335]), c_0_336])])).
12.61/2.31	thf(c_0_338, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setminus @ X3 @ X4))|(in @ X2 @ X4)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_328])).
12.61/2.31	thf(c_0_339, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk87_0)|~((in @ X2 @ esk88_0)))), inference(spm,[status(thm)],[c_0_330, c_0_333])).
12.61/2.31	thf(c_0_340, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk53_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_328])).
12.61/2.31	thf(c_0_341, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk89_0)|~((in @ X2 @ esk88_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337, c_0_338]), c_0_339])).
12.61/2.31	thf(c_0_342, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk89_0)|~((in @ (esk53_2 @ X2 @ esk89_0) @ esk88_0)))), inference(spm,[status(thm)],[c_0_340, c_0_341])).
12.61/2.31	thf(c_0_343, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_328])).
12.61/2.31	thf(c_0_344, negated_conjecture, ~((subset @ esk88_0 @ esk89_0)), inference(split_conjunct,[status(thm)],[c_0_328])).
12.61/2.31	thf(c_0_345, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_342, c_0_343]), c_0_344]), ['proof']).
12.61/2.31	# SZS output end CNFRefutation
12.61/2.31	# Parsed axioms                        : 527
12.61/2.31	# Removed by relevancy pruning/SinE    : 281
12.61/2.31	# Initial clauses                      : 426
12.61/2.31	# Removed in clause preprocessing      : 28
12.61/2.31	# Initial clauses in saturation        : 398
12.61/2.31	# Processed clauses                    : 3222
12.61/2.31	# ...of these trivial                  : 26
12.61/2.31	# ...subsumed                          : 1417
12.61/2.31	# ...remaining for further processing  : 1779
12.61/2.31	# Other redundant clauses eliminated   : 66
12.61/2.31	# Clauses deleted for lack of memory   : 0
12.61/2.31	# Backward-subsumed                    : 94
12.61/2.31	# Backward-rewritten                   : 17
12.61/2.31	# Generated clauses                    : 72709
12.61/2.31	# ...of the previous two non-redundant : 70843
12.61/2.31	# ...aggressively subsumed             : 0
12.61/2.31	# Contextual simplify-reflections      : 5
12.61/2.31	# Paramodulations                      : 72595
12.61/2.31	# Factorizations                       : 22
12.61/2.31	# NegExts                              : 2
12.61/2.31	# Equation resolutions                 : 74
12.61/2.31	# Total rewrite steps                  : 5671
12.61/2.31	# Propositional unsat checks           : 0
12.61/2.31	#    Propositional check models        : 0
12.61/2.31	#    Propositional check unsatisfiable : 0
12.61/2.31	#    Propositional clauses             : 0
12.61/2.31	#    Propositional clauses after purity: 0
12.61/2.31	#    Propositional unsat core size     : 0
12.61/2.31	#    Propositional preprocessing time  : 0.000
12.61/2.31	#    Propositional encoding time       : 0.000
12.61/2.31	#    Propositional solver time         : 0.000
12.61/2.31	#    Success case prop preproc time    : 0.000
12.61/2.31	#    Success case prop encoding time   : 0.000
12.61/2.31	#    Success case prop solver time     : 0.000
12.61/2.31	# Current number of processed clauses  : 1306
12.61/2.31	#    Positive orientable unit clauses  : 54
12.61/2.31	#    Positive unorientable unit clauses: 0
12.61/2.31	#    Negative unit clauses             : 53
12.61/2.31	#    Non-unit-clauses                  : 1199
12.61/2.31	# Current number of unprocessed clauses: 68243
12.61/2.31	# ...number of literals in the above   : 261344
12.61/2.31	# Current number of archived formulas  : 0
12.61/2.31	# Current number of archived clauses   : 458
12.61/2.31	# Clause-clause subsumption calls (NU) : 156931
12.61/2.31	# Rec. Clause-clause subsumption calls : 79822
12.61/2.31	# Non-unit clause-clause subsumptions  : 996
12.61/2.31	# Unit Clause-clause subsumption calls : 2144
12.61/2.31	# Rewrite failures with RHS unbound    : 0
12.61/2.31	# BW rewrite match attempts            : 48
12.61/2.31	# BW rewrite match successes           : 12
12.61/2.31	# Condensation attempts                : 0
12.61/2.31	# Condensation successes               : 0
12.61/2.31	# Termbank termtop insertions          : 1412218
12.61/2.31	
12.61/2.31	# -------------------------------------------------
12.61/2.31	# User time                : 1.543 s
12.61/2.31	# System time              : 0.086 s
12.61/2.31	# Total time               : 1.629 s
12.61/2.31	# Maximum resident set size: 7972 pages
13.15/2.36	
13.15/2.36	# -------------------------------------------------
13.15/2.36	# User time                : 1.557 s
13.15/2.36	# System time              : 0.090 s
13.15/2.36	# Total time               : 1.647 s
13.15/2.36	# Maximum resident set size: 2616 pages
13.15/2.36	% E---3.1 exiting
13.15/2.36	EOF