0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n028.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1920
0.12/0.33	% WCLimit    : 240
0.12/0.33	% DateTime   : Wed Jul 30 05:28:04 EDT 2025
0.12/0.33	% CPUTime    : 
0.19/0.46	Running higher-order theorem proving
0.19/0.48	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p
253.65/32.66	# Version: 3.0.0-ho
253.65/32.66	# Preprocessing class: HSLMSLSSLLLCHFA.
253.65/32.66	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
253.65/32.66	# Starting ehoh_best5 with 240s (1) cores
253.65/32.66	# Starting almost_fo_3_lam with 240s (1) cores
253.65/32.66	# Starting new_bool_5 with 240s (1) cores
253.65/32.66	# Starting pre_casc_3 with 240s (1) cores
253.65/32.66	# Starting ho_unfolding_8 with 240s (1) cores
253.65/32.66	# Starting new_ho_10_cnf2 with 240s (1) cores
253.65/32.66	# Starting new_bool_3 with 240s (1) cores
253.65/32.66	# Starting new_ho_5 with 240s (1) cores
253.65/32.66	# new_bool_5 with pid 31194 completed with status 0
253.65/32.66	# Result found by new_bool_5
253.65/32.66	# Preprocessing class: HSLMSLSSLLLCHFA.
253.65/32.66	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
253.65/32.66	# Starting ehoh_best5 with 240s (1) cores
253.65/32.66	# Starting almost_fo_3_lam with 240s (1) cores
253.65/32.66	# Starting new_bool_5 with 240s (1) cores
253.65/32.66	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
253.65/32.66	# Search class: HGHSM-FSLM32-MHFMMSBN
253.65/32.66	# Scheduled 10 strats onto 1 cores with 240 seconds (240 total)
253.65/32.66	# Starting ho_unfolding_8 with 44s (1) cores
253.65/32.66	# ho_unfolding_8 with pid 31200 completed with status 0
253.65/32.66	# Result found by ho_unfolding_8
253.65/32.66	# Preprocessing class: HSLMSLSSLLLCHFA.
253.65/32.66	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
253.65/32.66	# Starting ehoh_best5 with 240s (1) cores
253.65/32.66	# Starting almost_fo_3_lam with 240s (1) cores
253.65/32.66	# Starting new_bool_5 with 240s (1) cores
253.65/32.66	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
253.65/32.66	# Search class: HGHSM-FSLM32-MHFMMSBN
253.65/32.66	# Scheduled 10 strats onto 1 cores with 240 seconds (240 total)
253.65/32.66	# Starting ho_unfolding_8 with 44s (1) cores
253.65/32.66	# Preprocessing time       : 0.053 s
253.65/32.66	# Presaturation interreduction done
253.65/32.66	
253.65/32.66	# Proof found!
253.65/32.66	# SZS status Theorem
253.65/32.66	# SZS output start CNFRefutation
253.65/32.66	thf(decl_23, type, in: $i > $i > $o).
253.65/32.66	thf(decl_24, type, exu: ($i > $o) > $o).
253.65/32.66	thf(decl_25, type, setextAx: $o).
253.65/32.66	thf(decl_26, type, emptyset: $i).
253.65/32.66	thf(decl_27, type, emptysetAx: $o).
253.65/32.66	thf(decl_28, type, setadjoin: $i > $i > $i).
253.65/32.66	thf(decl_29, type, setadjoinAx: $o).
253.65/32.66	thf(decl_30, type, powerset: $i > $i).
253.65/32.66	thf(decl_31, type, powersetAx: $o).
253.65/32.66	thf(decl_32, type, setunion: $i > $i).
253.65/32.66	thf(decl_33, type, setunionAx: $o).
253.65/32.66	thf(decl_34, type, omega: $i).
253.65/32.66	thf(decl_35, type, omega0Ax: $o).
253.65/32.66	thf(decl_36, type, omegaSAx: $o).
253.65/32.66	thf(decl_37, type, omegaIndAx: $o).
253.65/32.66	thf(decl_38, type, replAx: $o).
253.65/32.66	thf(decl_39, type, foundationAx: $o).
253.65/32.66	thf(decl_40, type, wellorderingAx: $o).
253.65/32.66	thf(decl_41, type, descr: ($i > $o) > $i).
253.65/32.66	thf(decl_42, type, descrp: $o).
253.65/32.66	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_44, type, dsetconstrI: $o).
253.65/32.66	thf(decl_45, type, dsetconstrEL: $o).
253.65/32.66	thf(decl_46, type, dsetconstrER: $o).
253.65/32.66	thf(decl_47, type, exuE1: $o).
253.65/32.66	thf(decl_48, type, prop2set: $o > $i).
253.65/32.66	thf(decl_49, type, prop2setE: $o).
253.65/32.66	thf(decl_50, type, emptysetE: $o).
253.65/32.66	thf(decl_51, type, emptysetimpfalse: $o).
253.65/32.66	thf(decl_52, type, notinemptyset: $o).
253.65/32.66	thf(decl_53, type, exuE3e: $o).
253.65/32.66	thf(decl_54, type, setext: $o).
253.65/32.66	thf(decl_55, type, emptyI: $o).
253.65/32.66	thf(decl_56, type, noeltsimpempty: $o).
253.65/32.66	thf(decl_57, type, setbeta: $o).
253.65/32.66	thf(decl_58, type, nonempty: $i > $o).
253.65/32.66	thf(decl_59, type, nonemptyE1: $o).
253.65/32.66	thf(decl_60, type, nonemptyI: $o).
253.65/32.66	thf(decl_61, type, nonemptyI1: $o).
253.65/32.66	thf(decl_62, type, setadjoinIL: $o).
253.65/32.66	thf(decl_63, type, emptyinunitempty: $o).
253.65/32.66	thf(decl_64, type, setadjoinIR: $o).
253.65/32.66	thf(decl_65, type, setadjoinE: $o).
253.65/32.66	thf(decl_66, type, setadjoinOr: $o).
253.65/32.66	thf(decl_67, type, setoftrueEq: $o).
253.65/32.66	thf(decl_68, type, powersetI: $o).
253.65/32.66	thf(decl_69, type, emptyinPowerset: $o).
253.65/32.66	thf(decl_70, type, emptyInPowerset: $o).
253.65/32.66	thf(decl_71, type, powersetE: $o).
253.65/32.66	thf(decl_72, type, setunionI: $o).
253.65/32.66	thf(decl_73, type, setunionE: $o).
253.65/32.66	thf(decl_74, type, subPowSU: $o).
253.65/32.66	thf(decl_75, type, exuE2: $o).
253.65/32.66	thf(decl_76, type, nonemptyImpWitness: $o).
253.65/32.66	thf(decl_77, type, uniqinunit: $o).
253.65/32.66	thf(decl_78, type, notinsingleton: $o).
253.65/32.66	thf(decl_79, type, eqinunit: $o).
253.65/32.66	thf(decl_80, type, singletonsswitch: $o).
253.65/32.66	thf(decl_81, type, upairsetE: $o).
253.65/32.66	thf(decl_82, type, upairsetIL: $o).
253.65/32.66	thf(decl_83, type, upairsetIR: $o).
253.65/32.66	thf(decl_84, type, emptyE1: $o).
253.65/32.66	thf(decl_85, type, vacuousDall: $o).
253.65/32.66	thf(decl_86, type, quantDeMorgan1: $o).
253.65/32.66	thf(decl_87, type, quantDeMorgan2: $o).
253.65/32.66	thf(decl_88, type, quantDeMorgan3: $o).
253.65/32.66	thf(decl_89, type, quantDeMorgan4: $o).
253.65/32.66	thf(decl_90, type, prop2setI: $o).
253.65/32.66	thf(decl_92, type, prop2set2propI: $o).
253.65/32.66	thf(decl_93, type, notdexE: $o).
253.65/32.66	thf(decl_94, type, notdallE: $o).
253.65/32.66	thf(decl_95, type, exuI1: $o).
253.65/32.66	thf(decl_96, type, exuI3: $o).
253.65/32.66	thf(decl_97, type, exuI2: $o).
253.65/32.66	thf(decl_98, type, inCongP: $o).
253.65/32.66	thf(decl_99, type, in__Cong: $o).
253.65/32.66	thf(decl_100, type, exuE3u: $o).
253.65/32.66	thf(decl_101, type, exu__Cong: $o).
253.65/32.66	thf(decl_102, type, emptyset__Cong: $o).
253.65/32.66	thf(decl_103, type, setadjoin__Cong: $o).
253.65/32.66	thf(decl_104, type, powerset__Cong: $o).
253.65/32.66	thf(decl_105, type, setunion__Cong: $o).
253.65/32.66	thf(decl_106, type, omega__Cong: $o).
253.65/32.66	thf(decl_107, type, exuEu: $o).
253.65/32.66	thf(decl_108, type, descr__Cong: $o).
253.65/32.66	thf(decl_109, type, dsetconstr__Cong: $o).
253.65/32.66	thf(decl_110, type, subset: $i > $i > $o).
253.65/32.66	thf(decl_113, type, subsetI1: $o).
253.65/32.66	thf(decl_114, type, eqimpsubset2: $o).
253.65/32.66	thf(decl_115, type, eqimpsubset1: $o).
253.65/32.66	thf(decl_116, type, subsetI2: $o).
253.65/32.66	thf(decl_117, type, emptysetsubset: $o).
253.65/32.66	thf(decl_118, type, subsetE: $o).
253.65/32.66	thf(decl_119, type, subsetE2: $o).
253.65/32.66	thf(decl_120, type, notsubsetI: $o).
253.65/32.66	thf(decl_121, type, notequalI1: $o).
253.65/32.66	thf(decl_122, type, notequalI2: $o).
253.65/32.66	thf(decl_123, type, subsetRefl: $o).
253.65/32.66	thf(decl_124, type, subsetTrans: $o).
253.65/32.66	thf(decl_125, type, setadjoinSub: $o).
253.65/32.66	thf(decl_126, type, setadjoinSub2: $o).
253.65/32.66	thf(decl_127, type, subset2powerset: $o).
253.65/32.66	thf(decl_128, type, setextsub: $o).
253.65/32.66	thf(decl_129, type, subsetemptysetimpeq: $o).
253.65/32.66	thf(decl_130, type, powersetI1: $o).
253.65/32.66	thf(decl_131, type, powersetE1: $o).
253.65/32.66	thf(decl_132, type, inPowerset: $o).
253.65/32.66	thf(decl_133, type, powersetsubset: $o).
253.65/32.66	thf(decl_134, type, sepInPowerset: $o).
253.65/32.66	thf(decl_135, type, sepSubset: $o).
253.65/32.66	thf(decl_136, type, binunion: $i > $i > $i).
253.65/32.66	thf(decl_137, type, binunionIL: $o).
253.65/32.66	thf(decl_138, type, upairset2IR: $o).
253.65/32.66	thf(decl_139, type, binunionIR: $o).
253.65/32.66	thf(decl_140, type, binunionEcases: $o).
253.65/32.66	thf(decl_141, type, binunionE: $o).
253.65/32.66	thf(decl_142, type, binunionLsub: $o).
253.65/32.66	thf(decl_143, type, binunionRsub: $o).
253.65/32.66	thf(decl_144, type, binintersect: $i > $i > $i).
253.65/32.66	thf(decl_145, type, binintersectI: $o).
253.65/32.66	thf(decl_146, type, binintersectSubset5: $o).
253.65/32.66	thf(decl_147, type, binintersectEL: $o).
253.65/32.66	thf(decl_148, type, binintersectLsub: $o).
253.65/32.66	thf(decl_149, type, binintersectSubset2: $o).
253.65/32.66	thf(decl_150, type, binintersectSubset3: $o).
253.65/32.66	thf(decl_151, type, binintersectER: $o).
253.65/32.66	thf(decl_152, type, disjointsetsI1: $o).
253.65/32.66	thf(decl_153, type, binintersectRsub: $o).
253.65/32.66	thf(decl_154, type, binintersectSubset4: $o).
253.65/32.66	thf(decl_155, type, binintersectSubset1: $o).
253.65/32.66	thf(decl_156, type, bs114d: $o).
253.65/32.66	thf(decl_158, type, setminus: $i > $i > $i).
253.65/32.66	thf(decl_159, type, setminusI: $o).
253.65/32.66	thf(decl_160, type, setminusEL: $o).
253.65/32.66	thf(decl_161, type, setminusER: $o).
253.65/32.66	thf(decl_162, type, setminusSubset2: $o).
253.65/32.66	thf(decl_163, type, setminusERneg: $o).
253.65/32.66	thf(decl_164, type, setminusELneg: $o).
253.65/32.66	thf(decl_165, type, setminusILneg: $o).
253.65/32.66	thf(decl_166, type, setminusIRneg: $o).
253.65/32.66	thf(decl_167, type, setminusLsub: $o).
253.65/32.66	thf(decl_168, type, setminusSubset1: $o).
253.65/32.66	thf(decl_169, type, symdiff: $i > $i > $i).
253.65/32.66	thf(decl_170, type, symdiffE: $o).
253.65/32.66	thf(decl_171, type, symdiffI1: $o).
253.65/32.66	thf(decl_172, type, symdiffI2: $o).
253.65/32.66	thf(decl_173, type, symdiffIneg1: $o).
253.65/32.66	thf(decl_174, type, symdiffIneg2: $o).
253.65/32.66	thf(decl_175, type, iskpair: $i > $o).
253.65/32.66	thf(decl_176, type, secondinupair: $o).
253.65/32.66	thf(decl_177, type, setukpairIL: $o).
253.65/32.66	thf(decl_178, type, setukpairIR: $o).
253.65/32.66	thf(decl_179, type, kpairiskpair: $o).
253.65/32.66	thf(decl_180, type, kpair: $i > $i > $i).
253.65/32.66	thf(decl_181, type, kpairp: $o).
253.65/32.66	thf(decl_182, type, cartprod: $i > $i > $i).
253.65/32.66	thf(decl_183, type, singletonsubset: $o).
253.65/32.66	thf(decl_184, type, singletoninpowerset: $o).
253.65/32.66	thf(decl_185, type, singletoninpowunion: $o).
253.65/32.66	thf(decl_186, type, upairset2E: $o).
253.65/32.66	thf(decl_187, type, upairsubunion: $o).
253.65/32.66	thf(decl_188, type, upairinpowunion: $o).
253.65/32.66	thf(decl_189, type, ubforcartprodlem1: $o).
253.65/32.66	thf(decl_190, type, ubforcartprodlem2: $o).
253.65/32.66	thf(decl_191, type, ubforcartprodlem3: $o).
253.65/32.66	thf(decl_192, type, cartprodpairin: $o).
253.65/32.66	thf(decl_193, type, cartprodmempair1: $o).
253.65/32.66	thf(decl_194, type, cartprodmempair: $o).
253.65/32.66	thf(decl_195, type, setunionE2: $o).
253.65/32.66	thf(decl_196, type, setunionsingleton1: $o).
253.65/32.66	thf(decl_197, type, setunionsingleton2: $o).
253.65/32.66	thf(decl_198, type, setunionsingleton: $o).
253.65/32.66	thf(decl_199, type, singleton: $i > $o).
253.65/32.66	thf(decl_200, type, singletonprop: $o).
253.65/32.66	thf(decl_201, type, ex1: $i > ($i > $o) > $o).
253.65/32.66	thf(decl_202, type, ex1E1: $o).
253.65/32.66	thf(decl_203, type, ex1I: $o).
253.65/32.66	thf(decl_204, type, ex1I2: $o).
253.65/32.66	thf(decl_205, type, singletonsuniq: $o).
253.65/32.66	thf(decl_210, type, setukpairinjL1: $o).
253.65/32.66	thf(decl_211, type, kfstsingleton: $o).
253.65/32.66	thf(decl_212, type, theprop: $o).
253.65/32.66	thf(decl_213, type, kfst: $i > $i).
253.65/32.66	thf(decl_214, type, kfstpairEq: $o).
253.65/32.66	thf(decl_215, type, cartprodfstin: $o).
253.65/32.66	thf(decl_216, type, setukpairinjL2: $o).
253.65/32.66	thf(decl_217, type, setukpairinjL: $o).
253.65/32.66	thf(decl_218, type, setukpairinjR11: $o).
253.65/32.66	thf(decl_219, type, setukpairinjR12: $o).
253.65/32.66	thf(decl_220, type, setukpairinjR1: $o).
253.65/32.66	thf(decl_221, type, upairequniteq: $o).
253.65/32.66	thf(decl_222, type, setukpairinjR2: $o).
253.65/32.66	thf(decl_223, type, setukpairinjR: $o).
253.65/32.66	thf(decl_224, type, ksndsingleton: $o).
253.65/32.66	thf(decl_225, type, ksnd: $i > $i).
253.65/32.66	thf(decl_226, type, ksndpairEq: $o).
253.65/32.66	thf(decl_227, type, kpairsurjEq: $o).
253.65/32.66	thf(decl_228, type, cartprodsndin: $o).
253.65/32.66	thf(decl_229, type, cartprodpairmemEL: $o).
253.65/32.66	thf(decl_230, type, cartprodpairmemER: $o).
253.65/32.66	thf(decl_231, type, cartprodmempaircEq: $o).
253.65/32.66	thf(decl_232, type, cartprodfstpairEq: $o).
253.65/32.66	thf(decl_233, type, cartprodsndpairEq: $o).
253.65/32.66	thf(decl_234, type, cartprodpairsurjEq: $o).
253.65/32.66	thf(decl_235, type, breln: $i > $i > $i > $o).
253.65/32.66	thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
253.65/32.66	thf(decl_237, type, dpsetconstrI: $o).
253.65/32.66	thf(decl_238, type, dpsetconstrSub: $o).
253.65/32.66	thf(decl_239, type, setOfPairsIsBReln: $o).
253.65/32.66	thf(decl_240, type, dpsetconstrERa: $o).
253.65/32.66	thf(decl_241, type, dpsetconstrEL1: $o).
253.65/32.66	thf(decl_242, type, dpsetconstrEL2: $o).
253.65/32.66	thf(decl_243, type, dpsetconstrER: $o).
253.65/32.66	thf(decl_244, type, func: $i > $i > $i > $o).
253.65/32.66	thf(decl_245, type, funcSet: $i > $i > $i).
253.65/32.66	thf(decl_246, type, funcImageSingleton: $o).
253.65/32.66	thf(decl_247, type, apProp: $o).
253.65/32.66	thf(decl_248, type, ap: $i > $i > $i > $i > $i).
253.65/32.66	thf(decl_249, type, app: $o).
253.65/32.66	thf(decl_250, type, infuncsetfunc: $o).
253.65/32.66	thf(decl_251, type, ap2p: $o).
253.65/32.66	thf(decl_252, type, funcinfuncset: $o).
253.65/32.66	thf(decl_253, type, lamProp: $o).
253.65/32.66	thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
253.65/32.66	thf(decl_255, type, lamp: $o).
253.65/32.66	thf(decl_256, type, lam2p: $o).
253.65/32.66	thf(decl_257, type, brelnall1: $o).
253.65/32.66	thf(decl_258, type, brelnall2: $o).
253.65/32.66	thf(decl_259, type, ex1E2: $o).
253.65/32.66	thf(decl_260, type, funcGraphProp1: $o).
253.65/32.66	thf(decl_261, type, funcGraphProp3: $o).
253.65/32.66	thf(decl_262, type, funcGraphProp2: $o).
253.65/32.66	thf(decl_263, type, funcextLem: $o).
253.65/32.66	thf(decl_264, type, epred1_0: $o).
253.65/32.66	thf(decl_265, type, esk1_2: $i > $i > $i).
253.65/32.66	thf(decl_266, type, esk2_2: $i > $i > $i).
253.65/32.66	thf(decl_267, type, esk3_2: $i > $i > $i).
253.65/32.66	thf(decl_268, type, esk4_1: $i > $i).
253.65/32.66	thf(decl_269, type, esk5_2: ($i > $i > $o) > $i > $i).
253.65/32.66	thf(decl_270, type, esk6_2: ($i > $i > $o) > $i > $i).
253.65/32.66	thf(decl_271, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
253.65/32.66	thf(decl_272, type, esk8_1: $i > $i).
253.65/32.66	thf(decl_273, type, esk9_1: ($i > $o) > $i).
253.65/32.66	thf(decl_274, type, esk10_1: ($i > $o) > $i).
253.65/32.66	thf(decl_275, type, esk11_2: $i > $i > $i).
253.65/32.66	thf(decl_276, type, esk12_2: $i > $i > $i).
253.65/32.66	thf(decl_277, type, esk13_1: $i > $i).
253.65/32.66	thf(decl_278, type, esk14_1: $i > $i).
253.65/32.66	thf(decl_279, type, esk15_1: $i > $i).
253.65/32.66	thf(decl_280, type, esk16_2: $i > $i > $i).
253.65/32.66	thf(decl_281, type, esk17_3: $i > $i > $o > $i).
253.65/32.66	thf(decl_282, type, esk18_1: ($i > $o) > $i).
253.65/32.66	thf(decl_283, type, esk19_1: $i > $i).
253.65/32.66	thf(decl_284, type, esk20_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_285, type, esk21_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_286, type, esk22_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_287, type, esk23_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_288, type, esk24_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_289, type, esk25_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_290, type, esk26_2: ($i > $o) > $i > $i).
253.65/32.66	thf(decl_291, type, esk27_1: ($i > $o) > $i).
253.65/32.66	thf(decl_292, type, esk28_1: ($i > $o) > $i).
253.65/32.66	thf(decl_293, type, esk29_2: ($i > $o) > $i > $i).
253.65/32.66	thf(decl_294, type, esk30_2: ($i > $o) > ($i > $o) > $i).
253.65/32.66	thf(decl_295, type, esk31_2: ($i > $o) > ($i > $o) > $i).
253.65/32.66	thf(decl_296, type, esk32_2: ($i > $o) > ($i > $o) > $i).
253.65/32.66	thf(decl_297, type, esk33_2: ($i > $o) > ($i > $o) > $i).
253.65/32.66	thf(decl_298, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
253.65/32.66	thf(decl_299, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
253.65/32.66	thf(decl_300, type, esk36_2: $i > $i > $i).
253.65/32.66	thf(decl_301, type, esk37_2: $i > $i > $i).
253.65/32.66	thf(decl_302, type, esk38_2: $i > $i > $i).
253.65/32.66	thf(decl_303, type, esk39_3: $i > $i > $i > $i).
253.65/32.66	thf(decl_304, type, esk40_3: $i > $i > $i > $i).
253.65/32.66	thf(decl_305, type, esk41_2: $i > $i > $i).
253.65/32.66	thf(decl_306, type, esk42_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_307, type, esk43_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_308, type, esk44_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_309, type, esk45_3: $i > ($i > $o) > $i > $i).
253.65/32.66	thf(decl_310, type, esk46_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_311, type, esk47_2: $i > ($i > $o) > $i).
253.65/32.66	thf(decl_312, type, esk48_3: $i > $i > ($i > $i) > $i).
253.65/32.66	thf(decl_313, type, esk49_3: $i > $i > ($i > $i) > $i).
253.65/32.66	thf(decl_314, type, esk50_3: $i > $i > ($i > $i) > $i).
253.65/32.66	thf(decl_315, type, esk51_4: $i > $i > $i > ($i > $o) > $i).
253.65/32.66	thf(decl_316, type, esk52_4: $i > $i > $i > ($i > $o) > $i).
253.65/32.66	thf(decl_317, type, esk53_4: $i > $i > $i > ($i > $o) > $i).
253.65/32.66	thf(decl_318, type, esk54_4: $i > $i > $i > ($i > $o) > $i).
253.65/32.66	thf(decl_319, type, esk55_4: $i > $i > $i > $i > $i).
253.65/32.66	thf(decl_320, type, esk56_0: $i).
253.65/32.66	thf(decl_321, type, esk57_0: $i).
253.65/32.66	thf(decl_322, type, esk58_0: $i).
253.65/32.66	thf(decl_323, type, esk59_0: $i).
253.65/32.66	thf(decl_324, type, esk60_0: $i).
253.65/32.66	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', exuI1)).
253.65/32.66	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', exu__Cong)).
253.65/32.66	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', sepInPowerset)).
253.65/32.66	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', sepSubset)).
253.65/32.66	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', descr__Cong)).
253.65/32.66	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', exuEu)).
253.65/32.66	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', exuE3u)).
253.65/32.66	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', dsetconstr__Cong)).
253.65/32.66	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', exuI2)).
253.65/32.66	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', exuI3)).
253.65/32.66	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', emptyE1)).
253.65/32.66	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setbeta)).
253.65/32.66	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', exuE1)).
253.65/32.66	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', dsetconstrI)).
253.65/32.66	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', descrp)).
253.65/32.66	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', replAx)).
253.65/32.66	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', ex1E1)).
253.65/32.66	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', ex1I)).
253.65/32.66	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', ex1I2)).
253.65/32.66	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', kfstsingleton)).
253.65/32.66	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', ksndsingleton)).
253.65/32.66	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', dpsetconstrSub)).
253.65/32.66	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', dpsetconstrEL2)).
253.65/32.66	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', dpsetconstrER)).
253.65/32.66	thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30))))) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', apProp)).
253.65/32.66	thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X33 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', lamp)).
253.65/32.66	thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', ex1E2)).
253.65/32.66	thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X34:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X34 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X34 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', lam2p)).
253.65/32.66	thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X31 @ X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', lamProp)).
253.65/32.66	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X30)))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', funcImageSingleton)).
253.65/32.66	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', dpsetconstrEL1)).
253.65/32.66	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', dpsetconstrERa)).
253.65/32.66	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setOfPairsIsBReln)).
253.65/32.66	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', dpsetconstrI)).
253.65/32.66	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', singletonprop)).
253.65/32.66	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', exuE2)).
253.65/32.66	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setoftrueEq)).
253.65/32.66	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', nonemptyI)).
253.65/32.66	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', exuE3e)).
253.65/32.66	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', dsetconstrER)).
253.65/32.66	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', dsetconstrEL)).
253.65/32.66	thf(funcGraphProp4, conjecture, ((setextAx)=>((((powersetAx)=>((setunionAx)=>(((omegaSAx)=>((omegaIndAx)=>(((foundationAx)=>((wellorderingAx)=>((((dsetconstrEL)=>((dsetconstrER)=>(((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((((noeltsimpempty)=>((((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>(((emptyinPowerset)=>(((powersetE)=>((setunionI)=>((setunionE)=>(((exuE2)=>((((notinsingleton)=>(((((upairsetIL)=>((upairsetIR)=>(((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>(((notdexE)=>((notdallE)=>((exuI1)=>((((inCongP)=>((((exu__Cong)=>(((setadjoin__Cong)=>((powerset__Cong)=>(((omega__Cong)=>((exuEu)=>(((dsetconstr__Cong)=>((subsetI1)=>((((subsetI2)=>(((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>(((((subsetemptysetimpeq)=>((powersetI1)=>((((powersetsubset)=>(((sepSubset)=>(((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>(((binunionRsub)=>(((binintersectSubset5)=>((binintersectEL)=>(((binintersectSubset2)=>(((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>(((((((setminusSubset2)=>(((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>(((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>(((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((((((upairinpowunion)=>(((((cartprodpairin)=>(((cartprodmempair)=>((setunionE2)=>(((setunionsingleton2)=>((((ex1E1)=>((ex1I)=>((ex1I2)=>(((setukpairinjL1)=>((kfstsingleton)=>(((((setukpairinjL2)=>((((((upairequniteq)=>((setukpairinjR2)=>(((ksndsingleton)=>((ksndpairEq)=>(((((cartprodpairmemER)=>((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((((dpsetconstrSub)=>(((((dpsetconstrEL2)=>((dpsetconstrER)=>(((apProp)=>((((ap2p)=>((((lamp)=>((((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>((funcGraphProp3)=>(((funcextLem)=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:((![X3:$i]:((((in @ (kpair @ X2 @ X3) @ X30)=>((ap @ X4 @ X5 @ X30 @ X2)=(X3)))<=(in @ X3 @ X5)))<=(in @ X2 @ X4))))))<=(funcGraphProp2))))))<=(brelnall1))<=(lam2p)))<=(lamProp))<=(funcinfuncset)))<=(infuncsetfunc))<=(app)))<=(funcImageSingleton))))<=(dpsetconstrEL1))<=(dpsetconstrERa))<=(setOfPairsIsBReln)))<=(dpsetconstrI))<=(cartprodpairsurjEq))))))<=(cartprodpairmemEL))<=(cartprodsndin))<=(kpairsurjEq))))<=(setukpairinjR))))<=(setukpairinjR1))<=(setukpairinjR12))<=(setukpairinjR11))<=(setukpairinjL)))<=(cartprodfstin))<=(kfstpairEq))<=(theprop))))<=(singletonsuniq)))))<=(singletonprop))<=(setunionsingleton)))<=(setunionsingleton1))))<=(cartprodmempair1)))<=(ubforcartprodlem3))<=(ubforcartprodlem2))<=(ubforcartprodlem1)))<=(upairsubunion))<=(upairset2E))<=(singletoninpowunion))<=(singletoninpowerset)))))<=(setukpairIR))<=(setukpairIL)))))<=(symdiffI2)))))<=(setminusLsub)))))<=(setminusERneg)))<=(setminusER))<=(setminusEL))<=(setminusI))<=(bs114d))<=(binintersectSubset1))))))<=(binintersectSubset3)))<=(binintersectLsub))))<=(binintersectI)))<=(binunionLsub))))))<=(binunionIL)))<=(sepInPowerset)))<=(inPowerset))<=(powersetE1))))<=(setextsub))<=(subset2powerset))<=(setadjoinSub2))))))))))<=(emptysetsubset)))<=(eqimpsubset1))<=(eqimpsubset2))))<=(descr__Cong))))<=(setunion__Cong))))<=(emptyset__Cong)))<=(exuE3u))<=(in__Cong)))<=(exuI2))<=(exuI3)))))<=(prop2set2propI))))))))<=(emptyE1))))<=(upairsetE))<=(singletonsswitch))<=(eqinunit)))<=(uniqinunit))<=(nonemptyImpWitness)))<=(subPowSU)))))<=(emptyInPowerset)))<=(powersetI))))))))))<=(nonemptyE1))<=(setbeta)))<=(emptyI))<=(setext)))))))<=(exuE1))))<=(dsetconstrI))<=(descrp))))<=(replAx))))<=(omega0Ax))))<=(setadjoinAx))<=(emptysetAx))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', funcGraphProp4)).
253.65/32.66	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', emptysetAx)).
253.65/32.66	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setminusERneg)).
253.65/32.66	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setminusER)).
253.65/32.66	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setminusEL)).
253.65/32.66	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', notdallE)).
253.65/32.66	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setminusI)).
253.65/32.66	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', bs114d)).
253.65/32.66	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binintersectSubset1)).
253.65/32.66	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binintersectSubset3)).
253.65/32.66	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binintersectLsub)).
253.65/32.66	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', inCongP)).
253.65/32.66	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binintersectI)).
253.65/32.66	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binunionLsub)).
253.65/32.66	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binunionIL)).
253.65/32.66	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', inPowerset)).
253.65/32.66	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setadjoin__Cong)).
253.65/32.66	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', powersetE1)).
253.65/32.66	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setextsub)).
253.65/32.66	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', quantDeMorgan3)).
253.65/32.66	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', subset2powerset)).
253.65/32.66	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setadjoinSub2)).
253.65/32.66	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', powerset__Cong)).
253.65/32.66	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', emptysetsubset)).
253.65/32.66	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', eqimpsubset1)).
253.65/32.66	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', omega__Cong)).
253.65/32.66	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', eqimpsubset2)).
253.65/32.66	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setunion__Cong)).
253.65/32.66	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', emptyset__Cong)).
253.65/32.66	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', in__Cong)).
253.65/32.66	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', quantDeMorgan4)).
253.65/32.66	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', upairsetE)).
253.65/32.66	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', subsetI1)).
253.65/32.66	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', singletonsswitch)).
253.65/32.66	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', eqinunit)).
253.65/32.66	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', subsetI2)).
253.65/32.66	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', uniqinunit)).
253.65/32.66	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', nonemptyImpWitness)).
253.65/32.66	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', subPowSU)).
253.65/32.66	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', subsetE)).
253.65/32.66	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', emptyInPowerset)).
253.65/32.66	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', powersetI)).
253.65/32.66	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', subsetE2)).
253.65/32.66	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', nonemptyE1)).
253.65/32.66	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', emptyI)).
253.65/32.66	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', notsubsetI)).
253.65/32.66	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setext)).
253.65/32.66	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', notequalI1)).
253.65/32.66	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', prop2setI)).
253.65/32.66	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', omega0Ax)).
253.65/32.66	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', notequalI2)).
253.65/32.66	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setadjoinAx)).
253.65/32.66	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', subsetRefl)).
253.65/32.66	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', subsetTrans)).
253.65/32.66	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setadjoinSub)).
253.65/32.66	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', subsetemptysetimpeq)).
253.65/32.66	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', powersetI1)).
253.65/32.66	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', powersetsubset)).
253.65/32.66	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', upairset2IR)).
253.65/32.66	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binunionIR)).
253.65/32.66	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binunionEcases)).
253.65/32.66	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binunionE)).
253.65/32.66	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binunionRsub)).
253.65/32.66	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binintersectSubset5)).
253.65/32.66	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binintersectEL)).
253.65/32.66	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binintersectSubset2)).
253.65/32.66	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binintersectER)).
253.65/32.66	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', notdexE)).
253.65/32.66	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', disjointsetsI1)).
253.65/32.66	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binintersectRsub)).
253.65/32.66	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', binintersectSubset4)).
253.65/32.66	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setminusSubset2)).
253.65/32.66	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setminusELneg)).
253.65/32.66	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setminusILneg)).
253.65/32.66	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setminusIRneg)).
253.65/32.66	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setminusSubset1)).
253.65/32.66	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', symdiffE)).
253.65/32.66	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', symdiffI1)).
253.65/32.66	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', symdiffIneg1)).
253.65/32.66	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', symdiffIneg2)).
253.65/32.66	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', secondinupair)).
253.65/32.66	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', kpairiskpair)).
253.65/32.66	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', kpairp)).
253.65/32.66	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', singletonsubset)).
253.65/32.66	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', upairinpowunion)).
253.65/32.66	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodpairin)).
253.65/32.66	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodmempair)).
253.65/32.66	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setunionE2)).
253.65/32.66	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setunionsingleton2)).
253.65/32.66	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setukpairinjL1)).
253.65/32.66	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setukpairinjL2)).
253.65/32.66	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', upairequniteq)).
253.65/32.66	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setukpairinjR2)).
253.65/32.66	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', ksndpairEq)).
253.65/32.66	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodpairmemER)).
253.65/32.66	thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodmempaircEq)).
253.65/32.66	thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodfstpairEq)).
253.65/32.66	thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodsndpairEq)).
253.65/32.66	thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', ap2p)).
253.65/32.66	thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', brelnall2)).
253.65/32.66	thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', funcGraphProp1)).
253.65/32.66	thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X30 @ X2)) @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', funcGraphProp3)).
253.65/32.66	thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X35:$i]:(((func @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X30 @ X2)=(ap @ X4 @ X5 @ X35 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X30)))))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', funcextLem)).
253.65/32.66	thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X30)=>((ap @ X4 @ X5 @ X30 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', funcGraphProp2)).
253.65/32.66	thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X29:$i]:(((breln @ X4 @ X5 @ X29)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X29)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', brelnall1)).
253.65/32.66	thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>(in @ X30 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', funcinfuncset)).
253.65/32.66	thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X30)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', infuncsetfunc)).
253.65/32.66	thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X30 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', app)).
253.65/32.66	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodpairsurjEq)).
253.65/32.66	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodpairmemEL)).
253.65/32.66	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodsndin)).
253.65/32.66	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', kpairsurjEq)).
253.65/32.66	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setukpairinjR)).
253.65/32.66	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setukpairinjR1)).
253.65/32.66	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setukpairinjR12)).
253.65/32.66	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setukpairinjR11)).
253.65/32.66	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setukpairinjL)).
253.65/32.66	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodfstin)).
253.65/32.66	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', kfstpairEq)).
253.65/32.66	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', theprop)).
253.65/32.66	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', singletonsuniq)).
253.65/32.66	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setunionsingleton)).
253.65/32.66	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setunionsingleton1)).
253.65/32.66	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', cartprodmempair1)).
253.65/32.66	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', ubforcartprodlem3)).
253.65/32.66	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', ubforcartprodlem2)).
253.65/32.66	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', ubforcartprodlem1)).
253.65/32.66	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', upairsubunion)).
253.65/32.66	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', upairset2E)).
253.65/32.66	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', singletoninpowunion)).
253.65/32.66	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', singletoninpowerset)).
253.65/32.66	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setukpairIR)).
253.65/32.66	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setukpairIL)).
253.65/32.66	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', symdiffI2)).
253.65/32.66	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setminusLsub)).
253.65/32.66	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', quantDeMorgan2)).
253.65/32.66	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', quantDeMorgan1)).
253.65/32.66	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', vacuousDall)).
253.65/32.66	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', upairsetIR)).
253.65/32.66	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', upairsetIL)).
253.65/32.66	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', notinsingleton)).
253.65/32.66	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setunionE)).
253.65/32.66	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setunionI)).
253.65/32.66	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', powersetE)).
253.65/32.66	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', emptyinPowerset)).
253.65/32.66	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setadjoinOr)).
253.65/32.66	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setadjoinE)).
253.65/32.66	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setadjoinIR)).
253.65/32.66	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', emptyinunitempty)).
253.65/32.66	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setadjoinIL)).
253.65/32.66	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', nonemptyI1)).
253.65/32.66	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', noeltsimpempty)).
253.65/32.66	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', notinemptyset)).
253.65/32.66	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', emptysetimpfalse)).
253.65/32.66	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', emptysetE)).
253.65/32.66	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', prop2setE)).
253.65/32.66	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', wellorderingAx)).
253.65/32.66	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', foundationAx)).
253.65/32.66	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', omegaIndAx)).
253.65/32.66	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', omegaSAx)).
253.65/32.66	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setunionAx)).
253.65/32.66	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', powersetAx)).
253.65/32.66	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.wlStVUIOMv/E---3.1_31114.p', setextAx)).
253.65/32.66	thf(c_0_204, 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])).
253.65/32.66	thf(c_0_205, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
253.65/32.66	thf(c_0_206, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
253.65/32.66	thf(c_0_207, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
253.65/32.66	thf(c_0_208, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
253.65/32.66	thf(c_0_209, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
253.65/32.66	thf(c_0_210, 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])).
253.65/32.66	thf(c_0_211, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
253.65/32.66	thf(c_0_212, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
253.65/32.66	thf(c_0_213, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
253.65/32.66	thf(c_0_214, plain, ((emptyE1)<=>![X4:$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])).
253.65/32.66	thf(c_0_215, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
253.65/32.66	thf(c_0_216, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
253.65/32.66	thf(c_0_217, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
253.65/32.66	thf(c_0_218, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
253.65/32.66	thf(c_0_219, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
253.65/32.66	thf(c_0_220, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
253.65/32.66	thf(c_0_221, plain, ((ex1I)<=>![X4:$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])).
253.65/32.66	thf(c_0_222, 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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
253.65/32.66	thf(c_0_223, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
253.65/32.66	thf(c_0_224, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
253.65/32.66	thf(c_0_225, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
253.65/32.66	thf(c_0_226, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
253.65/32.66	thf(c_0_227, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
253.65/32.66	thf(c_0_228, plain, ((apProp)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
253.65/32.66	thf(c_0_229, plain, ((lamp)<=>![X4:$i, X5:$i, X33:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X33 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X33 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
253.65/32.66	thf(c_0_230, plain, ((ex1E2)<=>![X4:$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])).
253.65/32.66	thf(c_0_231, plain, ((lam2p)<=>![X4:$i, X5:$i, X34:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X34 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X34 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
253.65/32.66	thf(c_0_232, plain, ((lamProp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X31 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
253.65/32.66	thf(c_0_233, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X30:$i]:(((func @ X4 @ X5 @ X30)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X30)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
253.65/32.66	thf(c_0_234, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
253.65/32.66	thf(c_0_235, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
253.65/32.66	thf(c_0_236, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
253.65/32.66	thf(c_0_237, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
253.65/32.66	thf(c_0_238, plain, ((singletonprop)<=>![X4:$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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
253.65/32.66	thf(c_0_239, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
253.65/32.66	thf(c_0_240, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
253.65/32.66	thf(c_0_241, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
253.65/32.66	thf(c_0_242, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
253.65/32.66	thf(c_0_243, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
253.65/32.66	thf(c_0_244, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
253.65/32.66	thf(c_0_245, plain, ((epred1_0)<=>![X658:$i]:(?[X659:$i]:((((![X660:$i]:(((in @ X660 @ X659)=>![X661:$i]:(((in @ X661 @ X660)=>(in @ X661 @ X658)))))&![X662:$i, X663:$i]:((((in @ X662 @ X658)&(in @ X663 @ X658))=>(![X664:$i]:(((in @ X664 @ X659)=>((in @ X662 @ X664)<=>(in @ X663 @ X664))))=>((X662)=(X663))))))&![X665:$i, X666:$i]:((((in @ X665 @ X659)&(in @ X666 @ X659))=>(![X667:$i]:(((in @ X667 @ X665)=>(in @ X667 @ X666)))|![X668:$i]:(((in @ X668 @ X666)=>(in @ X668 @ X665)))))))&![X669:$i]:(((![X670:$i]:(((in @ X670 @ X669)=>(in @ X670 @ X658)))&?[X671:$i]:((in @ X671 @ X669)))=>?[X672:$i, X673:$i]:(((((in @ X672 @ X659)&(in @ X673 @ X669))&~(?[X674:$i]:(((in @ X674 @ X672)&(in @ X674 @ X669)))))&![X675:$i]:(((in @ X675 @ X659)=>(![X676:$i]:(((in @ X676 @ X675)=>(in @ X676 @ X672)))|(in @ X673 @ X675)))))))))))), introduced(definition)).
253.65/32.66	thf(c_0_246, negated_conjecture, ~((![X641:$i, X642:$i]:((![X643:$i]:(((in @ X643 @ X641)<=>(in @ X643 @ X642)))=>((X641)=(X642))))=>(![X1240:$i]:(~(in @ X1240 @ emptyset))=>(![X1237:$i, X1238:$i, X1239:$i]:(((in @ X1239 @ (setadjoin @ X1237 @ X1238))<=>(((X1239)=(X1237))|(in @ X1239 @ X1238))))=>(![X644:$i, X645:$i]:(((in @ X645 @ (powerset @ X644))<=>![X646:$i]:(((in @ X646 @ X645)=>(in @ X646 @ X644)))))=>(![X647:$i, X648:$i]:(((in @ X648 @ (setunion @ X647))<=>?[X649:$i]:(((in @ X648 @ X649)&(in @ X649 @ X647)))))=>((in @ emptyset @ omega)=>(![X650:$i]:(((in @ X650 @ omega)=>(in @ (setadjoin @ X650 @ X650) @ omega)))=>(![X651:$i]:((((in @ emptyset @ X651)&![X652:$i]:((((in @ X652 @ omega)&(in @ X652 @ X651))=>(in @ (setadjoin @ X652 @ X652) @ X651))))=>![X653:$i]:(((in @ X653 @ omega)=>(in @ X653 @ X651)))))=>(![X1231:$i > $i > $o, X1232:$i]:((![X1233:$i]:(((in @ X1233 @ X1232)=>(exu @ (X1231 @ X1233))))=>?[X1234:$i]:(![X1235:$i]:(((in @ X1235 @ X1234)<=>?[X1236:$i]:(((in @ X1236 @ X1232)&(X1231 @ X1236 @ X1235))))))))=>(![X654:$i]:((?[X655:$i]:((in @ X655 @ X654))=>?[X656:$i]:(((in @ X656 @ X654)&~(?[X657:$i]:(((in @ X657 @ X656)&(in @ X657 @ X654))))))))=>((epred1_0)=>(![X1230:$i > $o]:(((exu @ X1230)=>(X1230 @ (descr @ (^[Z0/* 17 */:$i]:(X1230 @ Z0))))))=>(![X1227:$i, X1228:$i > $o, X1229:$i]:(((in @ X1229 @ X1227)=>((X1228 @ X1229)=>(in @ X1229 @ (dsetconstr @ X1227 @ X1228)))))=>(![X677:$i, X678:$i > $o, X679:$i]:(((in @ X679 @ (dsetconstr @ X677 @ X678))=>(in @ X679 @ X677)))=>(![X680:$i, X681:$i > $o, X682:$i]:(((in @ X682 @ (dsetconstr @ X680 @ X681))=>(X681 @ X682)))=>(![X1224:$i > $o]:(((exu @ X1224)=>?[X1225:$i]:(((X1224 @ X1225)&![X1226:$i]:(((X1224 @ X1226)=>((X1225)=(X1226))))))))=>(![X683:$o, X684:$i]:(((in @ X684 @ (prop2set @ ((X683))))=>(X683)))=>(![X685:$i]:(((in @ X685 @ emptyset)=>![X686:$o]:((X686))))=>(![X687:$i]:(((in @ X687 @ emptyset)=>~($true)))=>(![X688:$i]:(~(in @ X688 @ emptyset))=>(![X689:$i > $o]:(((exu @ X689)=>?[X690:$i]:((X689 @ X690))))=>(![X1220:$i, X1221:$i]:((![X1222:$i]:(((in @ X1222 @ X1220)=>(in @ X1222 @ X1221)))=>(![X1223:$i]:(((in @ X1223 @ X1221)=>(in @ X1223 @ X1220)))=>((X1220)=(X1221)))))=>(![X1218:$i]:((![X1219:$i]:(~(in @ X1219 @ X1218))=>((X1218)=(emptyset))))=>(![X691:$i]:((![X692:$i]:(~(in @ X692 @ X691))=>((X691)=(emptyset))))=>(![X1215:$i, X1216:$i > $o, X1217:$i]:(((in @ X1217 @ X1215)=>((in @ X1217 @ (dsetconstr @ X1215 @ X1216))<=>(X1216 @ X1217))))=>(![X1213:$i]:(((nonempty @ X1213)=>?[X1214:$i]:((in @ X1214 @ X1213))))=>(![X693:$i, X694:$i > $o, X695:$i]:(((in @ X695 @ X693)=>((X694 @ X695)=>(nonempty @ (dsetconstr @ X693 @ X694)))))=>(![X696:$i]:((?[X697:$i]:((in @ X697 @ X696))=>(nonempty @ X696)))=>(![X698:$i, X699:$i]:((in @ X698 @ (setadjoin @ X698 @ X699)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X700:$i, X701:$i, X702:$i]:(((in @ X702 @ X701)=>(in @ X702 @ (setadjoin @ X700 @ X701))))=>(![X703:$i, X704:$i, X705:$i]:(((in @ X705 @ (setadjoin @ X703 @ X704))=>![X706:$o]:(((((X705)=(X703))=>(X706))=>(((in @ X705 @ X704)=>(X706))=>(X706))))))=>(![X707:$i, X708:$i, X709:$i]:(((in @ X709 @ (setadjoin @ X707 @ X708))=>(((X709)=(X707))|(in @ X709 @ X708))))=>(![X710:$i]:(((dsetconstr @ X710 @ (^[Z0/* 1 */:$i]:($true)))=(X710)))=>(![X1210:$i, X1211:$i]:((![X1212:$i]:(((in @ X1212 @ X1211)=>(in @ X1212 @ X1210)))=>(in @ X1211 @ (powerset @ X1210))))=>(![X711:$i]:((in @ emptyset @ (powerset @ X711)))=>(![X1209:$i]:((in @ emptyset @ (powerset @ X1209)))=>(![X712:$i, X713:$i, X714:$i]:(((in @ X713 @ (powerset @ X712))=>((in @ X714 @ X713)=>(in @ X714 @ X712))))=>(![X715:$i, X716:$i, X717:$i]:(((in @ X716 @ X717)=>((in @ X717 @ X715)=>(in @ X716 @ (setunion @ X715)))))=>(![X718:$i, X719:$i]:(((in @ X719 @ (setunion @ X718))=>![X720:$o]:((![X721:$i]:(((in @ X719 @ X721)=>((in @ X721 @ X718)=>(X720))))=>(X720)))))=>(![X1207:$i, X1208:$i]:(((in @ X1208 @ X1207)=>(in @ X1208 @ (powerset @ (setunion @ X1207)))))=>(![X722:$i > $o]:(((exu @ X722)=>?[X723:$i]:(![X724:$i]:(((X722 @ X724)<=>((X724)=(X723)))))))=>(![X1205:$i]:(((nonempty @ X1205)=>?[X1206:$i]:(((in @ X1206 @ X1205)&$true))))=>(![X1203:$i, X1204:$i]:(((in @ X1203 @ (setadjoin @ X1204 @ emptyset))=>((X1203)=(X1204))))=>(![X725:$i, X726:$i]:((((X725)!=(X726))=>~(in @ X726 @ (setadjoin @ X725 @ emptyset))))=>(![X1201:$i, X1202:$i]:((((X1201)=(X1202))=>(in @ X1201 @ (setadjoin @ X1202 @ emptyset))))=>(![X1199:$i, X1200:$i]:(((in @ X1199 @ (setadjoin @ X1200 @ emptyset))=>(in @ X1200 @ (setadjoin @ X1199 @ emptyset))))=>(![X1196:$i, X1197:$i, X1198:$i]:(((in @ X1198 @ (setadjoin @ X1196 @ (setadjoin @ X1197 @ emptyset)))=>(((X1198)=(X1196))|((X1198)=(X1197)))))=>(![X727:$i, X728:$i]:((in @ X727 @ (setadjoin @ X727 @ (setadjoin @ X728 @ emptyset))))=>(![X729:$i, X730:$i]:((in @ X730 @ (setadjoin @ X729 @ (setadjoin @ X730 @ emptyset))))=>(![X1193:$i, X1194:$i > $o]:((?[X1195:$i]:(((in @ X1195 @ X1193)&(X1194 @ X1195)))=>(((dsetconstr @ X1193 @ X1194)=(emptyset))=>~($true))))=>(![X731:$i > $o, X732:$i]:(((in @ X732 @ emptyset)=>(X731 @ X732)))=>(![X733:$i, X734:$i > $o]:((~(![X735:$i]:(((in @ X735 @ X733)=>(X734 @ X735))))=>?[X736:$i]:(((in @ X736 @ X733)&~((X734 @ X736))))))=>(![X737:$i, X738:$i > $o]:((![X739:$i]:(((in @ X739 @ X737)=>~((X738 @ X739))))=>~(?[X740:$i]:(((in @ X740 @ X737)&(X738 @ X740))))))=>(![X741:$i, X742:$i > $o]:((~(?[X743:$i]:(((in @ X743 @ X741)&(X742 @ X743))))=>![X744:$i]:(((in @ X744 @ X741)=>~((X742 @ X744))))))=>(![X745:$i, X746:$i > $o]:((?[X747:$i]:(((in @ X747 @ X745)&~((X746 @ X747))))=>~(![X748:$i]:(((in @ X748 @ X745)=>(X746 @ X748))))))=>(![X749:$o]:(((X749)=>(in @ emptyset @ (prop2set @ ((X749))))))=>((prop2set2propI)=>(![X750:$i, X751:$i > $o]:((~(?[X752:$i]:(((in @ X752 @ X750)&(X751 @ X752))))=>![X753:$i]:(((in @ X753 @ X750)=>~((X751 @ X753))))))=>(![X754:$i, X755:$i > $o]:((~(![X756:$i]:(((in @ X756 @ X754)=>(X755 @ X756))))=>?[X757:$i]:(((in @ X757 @ X754)&~((X755 @ X757))))))=>(![X758:$i > $o]:((?[X759:$i]:(((X758 @ X759)&![X760:$i]:(((X758 @ X760)=>((X759)=(X760))))))=>(exu @ X758)))=>(![X1189:$i > $o]:((?[X1190:$i]:((X1189 @ X1190))=>(![X1191:$i, X1192:$i]:(((X1189 @ X1191)=>((X1189 @ X1192)=>((X1191)=(X1192)))))=>(exu @ X1189))))=>(![X1186:$i > $o]:((?[X1187:$i]:(![X1188:$i]:(((X1186 @ X1188)<=>((X1188)=(X1187)))))=>(exu @ X1186)))=>(![X761:$i, X762:$i]:((((X761)=(X762))=>![X763:$i, X764:$i]:((((X763)=(X764))=>((in @ X763 @ X761)=>(in @ X764 @ X762))))))=>(![X1182:$i, X1183:$i]:((((X1182)=(X1183))=>![X1184:$i, X1185:$i]:((((X1184)=(X1185))=>((in @ X1184 @ X1182)<=>(in @ X1185 @ X1183))))))=>(![X1179:$i > $o]:(((exu @ X1179)=>![X1180:$i, X1181:$i]:(((X1179 @ X1180)=>((X1179 @ X1181)=>((X1180)=(X1181)))))))=>(![X765:$i > $o, X766:$i > $o]:((![X767:$i, X768:$i]:((((X767)=(X768))=>((X765 @ X767)<=>(X766 @ X768))))=>((exu @ X765)<=>(exu @ X766))))=>(((emptyset)=(emptyset))=>(![X769:$i, X770:$i]:((((X769)=(X770))=>![X771:$i, X772:$i]:((((X771)=(X772))=>((setadjoin @ X769 @ X771)=(setadjoin @ X770 @ X772))))))=>(![X773:$i, X774:$i]:((((X773)=(X774))=>((powerset @ X773)=(powerset @ X774))))=>(![X1177:$i, X1178:$i]:((((X1177)=(X1178))=>((setunion @ X1177)=(setunion @ X1178))))=>(((omega)=(omega))=>(![X775:$i > $o]:(((exu @ X775)=>![X776:$i, X777:$i]:(((X775 @ X776)=>((X775 @ X777)=>((X776)=(X777)))))))=>(![X1173:$i > $o, X1174:$i > $o]:((![X1175:$i, X1176:$i]:((((X1175)=(X1176))=>((X1173 @ X1175)<=>(X1174 @ X1176))))=>((exu @ X1173)=>((exu @ X1174)=>((descr @ X1173)=(descr @ X1174))))))=>(![X778:$i, X779:$i]:((((X778)=(X779))=>![X780:$i > $o, X781:$i > $o]:((![X782:$i]:(((in @ X782 @ X778)=>![X783:$i]:(((in @ X783 @ X779)=>(((X782)=(X783))=>((X780 @ X782)<=>(X781 @ X783)))))))=>((dsetconstr @ X778 @ X780)=(dsetconstr @ X779 @ X781))))))=>(![X784:$i, X785:$i]:((![X786:$i]:(((in @ X786 @ X784)=>(in @ X786 @ X785)))=>(subset @ X784 @ X785)))=>(![X1171:$i, X1172:$i]:((((X1171)=(X1172))=>(subset @ X1172 @ X1171)))=>(![X1169:$i, X1170:$i]:((((X1169)=(X1170))=>(subset @ X1169 @ X1170)))=>(![X787:$i, X788:$i]:((![X789:$i]:(((in @ X789 @ X787)=>(in @ X789 @ X788)))=>(subset @ X787 @ X788)))=>(![X1168:$i]:((subset @ emptyset @ X1168))=>(![X790:$i, X791:$i, X792:$i]:(((subset @ X790 @ X791)=>((in @ X792 @ X790)=>(in @ X792 @ X791))))=>(![X793:$i, X794:$i, X795:$i]:(((subset @ X793 @ X794)=>(~(in @ X795 @ X794)=>~(in @ X795 @ X793))))=>(![X796:$i, X797:$i, X798:$i]:(((in @ X798 @ X796)=>(~(in @ X798 @ X797)=>~(subset @ X796 @ X797))))=>(![X799:$i, X800:$i]:((~(subset @ X799 @ X800)=>((X799)!=(X800))))=>(![X801:$i, X802:$i, X803:$i]:(((in @ X803 @ X801)=>(~(in @ X803 @ X802)=>((X801)!=(X802)))))=>(![X804:$i]:((subset @ X804 @ X804))=>(![X805:$i, X806:$i, X807:$i]:(((subset @ X805 @ X806)=>((subset @ X806 @ X807)=>(subset @ X805 @ X807))))=>(![X808:$i, X809:$i]:((subset @ X809 @ (setadjoin @ X808 @ X809)))=>(![X1165:$i, X1166:$i, X1167:$i]:(((subset @ X1165 @ X1167)=>(subset @ X1165 @ (setadjoin @ X1166 @ X1167))))=>(![X1163:$i, X1164:$i]:(((subset @ X1163 @ X1164)=>(in @ X1163 @ (powerset @ X1164))))=>(![X1161:$i, X1162:$i]:(((subset @ X1161 @ X1162)=>((subset @ X1162 @ X1161)=>((X1161)=(X1162)))))=>(![X810:$i]:(((subset @ X810 @ emptyset)=>((X810)=(emptyset))))=>(![X811:$i, X812:$i]:(((subset @ X812 @ X811)=>(in @ X812 @ (powerset @ X811))))=>(![X1159:$i, X1160:$i]:(((in @ X1160 @ (powerset @ X1159))=>(subset @ X1160 @ X1159)))=>(![X1158:$i]:((in @ X1158 @ (powerset @ X1158)))=>(![X813:$i, X814:$i]:(((subset @ X813 @ X814)=>(subset @ (powerset @ X813) @ (powerset @ X814))))=>(![X1156:$i, X1157:$i > $o]:((in @ (dsetconstr @ X1156 @ X1157) @ (powerset @ X1156)))=>(![X815:$i, X816:$i > $o]:((subset @ (dsetconstr @ X815 @ X816) @ X815))=>(![X1153:$i, X1154:$i, X1155:$i]:(((in @ X1155 @ X1153)=>(in @ X1155 @ (binunion @ X1153 @ X1154))))=>(![X817:$i, X818:$i]:((in @ X818 @ (setadjoin @ X817 @ (setadjoin @ X818 @ emptyset))))=>(![X819:$i, X820:$i, X821:$i]:(((in @ X821 @ 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X994 @ X989)=>((in @ (kpair @ X993 @ X994) @ X991)=>(in @ (kpair @ X993 @ X994) @ X990)))))))))))=>![X4:$i, X5:$i, X30:$i]:(((in @ X30 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X30)=>((ap @ X4 @ X5 @ X30 @ X2)=(X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[funcGraphProp4]), emptysetAx]), setminusERneg]), setminusER]), setminusEL]), notdallE]), setminusI]), bs114d]), binintersectSubset1]), c_0_204]), binintersectSubset3]), binintersectLsub]), inCongP]), binintersectI]), binunionLsub]), binunionIL]), c_0_205]), c_0_206]), inPowerset]), setadjoin__Cong]), powersetE1]), setextsub]), quantDeMorgan3]), subset2powerset]), setadjoinSub2]), powerset__Cong]), emptysetsubset]), eqimpsubset1]), omega__Cong]), eqimpsubset2]), c_0_207]), c_0_208]), setunion__Cong]), emptyset__Cong]), c_0_209]), c_0_210]), in__Cong]), c_0_211]), c_0_212]), quantDeMorgan4]), c_0_213]), c_0_214]), upairsetE]), subsetI1]), singletonsswitch]), eqinunit]), subsetI2]), uniqinunit]), nonemptyImpWitness]), subPowSU]), subsetE]), emptyInPowerset]), powersetI]), subsetE2]), nonemptyE1]), c_0_215]), emptyI]), notsubsetI]), setext]), c_0_216]), notequalI1]), c_0_217]), c_0_218]), c_0_219]), prop2setI]), omega0Ax]), notequalI2]), setadjoinAx]), subsetRefl]), subsetTrans]), setadjoinSub]), subsetemptysetimpeq]), powersetI1]), powersetsubset]), c_0_220]), c_0_221]), c_0_222]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionRsub]), binintersectSubset5]), binintersectEL]), binintersectSubset2]), binintersectER]), notdexE]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), setminusSubset2]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffIneg1]), symdiffIneg2]), secondinupair]), kpairiskpair]), kpairp]), singletonsubset]), upairinpowunion]), cartprodpairin]), cartprodmempair]), setunionE2]), setunionsingleton2]), setukpairinjL1]), c_0_223]), setukpairinjL2]), upairequniteq]), setukpairinjR2]), c_0_224]), ksndpairEq]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), c_0_225]), c_0_226]), c_0_227]), c_0_228]), ap2p]), c_0_229]), brelnall2]), c_0_230]), funcGraphProp1]), funcGraphProp3]), funcextLem]), funcGraphProp2]), brelnall1]), c_0_231]), c_0_232]), funcinfuncset]), infuncsetfunc]), app]), c_0_233]), c_0_234]), c_0_235]), c_0_236]), c_0_237]), cartprodpairsurjEq]), cartprodpairmemEL]), cartprodsndin]), kpairsurjEq]), setukpairinjR]), setukpairinjR1]), setukpairinjR12]), setukpairinjR11]), setukpairinjL]), cartprodfstin]), kfstpairEq]), theprop]), singletonsuniq]), c_0_238]), setunionsingleton]), setunionsingleton1]), cartprodmempair1]), ubforcartprodlem3]), ubforcartprodlem2]), ubforcartprodlem1]), upairsubunion]), upairset2E]), singletoninpowunion]), singletoninpowerset]), setukpairIR]), setukpairIL]), symdiffI2]), setminusLsub]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), upairsetIR]), upairsetIL]), notinsingleton]), c_0_239]), setunionE]), setunionI]), powersetE]), emptyinPowerset]), c_0_240]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), nonemptyI1]), c_0_241]), noeltsimpempty]), c_0_242]), notinemptyset]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_243]), c_0_244]), wellorderingAx]), foundationAx]), omegaIndAx]), omegaSAx]), setunionAx]), powersetAx]), setextAx])])]), c_0_245])).
253.65/32.66	thf(c_0_247, negated_conjecture, ![X1241:$i, X1242:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1254:$i, X1255:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1263:$i, X1264:$i > $i > $o, X1265:$i, X1268:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1275:$i, X1276:$i > $o, X1277:$i, X1278:$i > $o, X1279:$i, X1280:$i, X1281:$i > $o, X1282:$i, X1283:$i, X1284:$i > $o, X1285:$i, X1286:$i > $o, X1288:$i, X1289:$o, X1290:$i, X1291:$i, X1292:$o, X1293:$i, X1294:$i, X1295:$i > $o, X1297:$i, X1298:$i, X1301:$i, X1303:$i, X1305:$i, X1306:$i > $o, X1307:$i, X1308:$i, X1310:$i, X1311:$i > $o, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$o, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$o, X1343:$i, X1344:$i, X1345:$i > $o, X1347:$i, X1348:$i, X1349:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i > $o, X1368:$i, X1369:$i > $o, X1370:$i, X1371:$i, X1372:$i > $o, X1373:$i, X1375:$i, X1376:$i > $o, X1378:$i, X1379:$i, X1380:$i > $o, X1382:$i, X1383:$i, X1384:$i > $o, X1385:$i, X1387:$o, X1388:$i, X1389:$i > $o, X1391:$i, X1392:$i, X1393:$i > $o, X1394:$i, X1396:$i > $o, X1397:$i, X1399:$i > $o, X1400:$i, X1403:$i > $o, X1404:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i, X1410:$i, X1411:$i, X1412:$i, X1413:$i, X1414:$i > $o, X1415:$i, X1416:$i, X1417:$i > $o, X1418:$i > $o, X1421:$i, X1422:$i, X1423:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$i > $o, X1430:$i, X1431:$i, X1432:$i > $o, X1433:$i > $o, X1436:$i, X1437:$i, X1438:$i > $o, X1439:$i > $o, X1442:$i, X1443:$i, X1445:$i, X1446:$i, X1447:$i, X1448:$i, X1449:$i, X1450:$i, X1452:$i, X1453:$i, X1454:$i, X1455:$i, X1456:$i, X1457:$i, X1458:$i, X1459:$i, X1460:$i, X1461:$i, X1462:$i, X1463:$i, X1464:$i, X1465:$i, X1466:$i, X1467:$i, X1468:$i, X1469:$i, X1470:$i, X1471:$i, X1472:$i, X1473:$i, X1474:$i, X1475:$i, X1476:$i, X1477:$i, X1478:$i, X1479:$i, X1480:$i, X1481:$i, X1482:$i, X1483:$i, X1484:$i, X1485:$i, X1486:$i, X1487:$i, X1488:$i, X1489:$i > $o, X1490:$i, X1491:$i > $o, X1492:$i, X1493:$i, X1494:$i, X1495:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i, X1501:$i, X1502:$i, X1503:$o, X1504:$i, X1505:$i, X1506:$i, X1507:$i, X1508:$i, X1509:$i, X1510:$i, X1511:$i, X1512:$i, X1513:$i, X1514:$i, X1515:$i, X1516:$i, X1517:$i, X1518:$i, X1519:$i, X1520:$i, X1521:$i, X1522:$i, X1523:$i, X1524:$i, X1525:$i, X1526:$i, X1527:$i, X1528:$i, X1529:$i, X1530:$i, X1532:$i, X1533:$i, X1534:$i, X1535:$i, X1536:$i, X1537:$i, X1538:$i, X1539:$i, X1540:$i, X1541:$i, X1542:$i, X1543:$i, X1544:$i, X1545:$i, X1546:$i, X1547:$i, X1548:$i, X1549:$i, X1550:$i, X1551:$i, X1552:$i, X1553:$i, X1554:$i, X1555:$i, X1556:$i, X1557:$i, X1558:$i, X1559:$i, X1560:$i, X1561:$i, X1562:$i, X1563:$i, X1564:$i, X1565:$i, X1566:$i, X1567:$i, X1568:$i, X1569:$i, X1570:$i, X1571:$o, X1572:$i, X1573:$i, X1574:$i, X1575:$i, X1576:$i, X1577:$i, X1578:$i, X1579:$i, X1580:$i, X1581:$i, X1582:$i, X1583:$i, X1584:$i, X1585:$i, X1586:$i, X1587:$i, X1588:$i, X1589:$i, X1590:$i, X1591:$i, X1592:$i, X1593:$i, X1594:$i, X1595:$i, X1596:$i, X1597:$i, X1598:$i, X1599:$i, X1600:$i, X1601:$i, X1602:$i, X1603:$i, X1604:$i, X1605:$i, X1606:$i, X1607:$i, X1608:$i, X1609:$i, X1610:$i, X1611:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$i, X1616:$i, X1617:$i, X1618:$i, X1619:$i, X1620:$i, X1621:$i, X1622:$i, X1623:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i, X1629:$i, X1630:$i, X1633:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$i > $o, X1646:$i, X1647:$i, X1648:$i > $o, X1650:$i, X1651:$i > $o, X1652:$i, X1654:$i, X1655:$i > $o, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$i, X1665:$i, X1666:$i, X1667:$i, X1668:$i, X1669:$i, X1670:$i, X1671:$i, X1672:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i, X1679:$i, X1680:$i, X1681:$i, X1682:$i, X1683:$i, X1684:$i, X1685:$i, X1686:$i, X1687:$i, X1688:$i, X1689:$i, X1690:$i, X1691:$i, X1692:$i, X1693:$i, X1694:$i, X1695:$i, X1696:$i, X1697:$i, X1698:$i, X1699:$i, X1700:$i, X1701:$i, X1702:$i, X1703:$i, X1704:$i, X1705:$i, X1706:$i, X1707:$i, X1708:$i, X1709:$i, X1710:$i, X1711:$i, X1712:$i, X1713:$i, X1714:$i, X1715:$i, X1716:$i, X1717:$i, X1718:$i, X1719:$i, X1720:$i, X1721:$i, X1722:$i, X1723:$i, X1724:$i, X1725:$i, X1726:$i, X1727:$i, X1728:$i, X1729:$i, X1730:$i > $i > $o, X1731:$i, X1732:$i, X1733:$i, X1734:$i, X1735:$i > $i > $o, X1736:$i, X1737:$i, X1738:$i > $i > $o, X1739:$i, X1740:$i, X1741:$i > $i > $o, X1742:$i, X1743:$i, X1744:$i, X1745:$i, X1746:$i > $i > $o, X1747:$i, X1748:$i, X1749:$i, X1750:$i, X1751:$i > $i > $o, X1752:$i, X1753:$i, X1754:$i, X1755:$i, X1756:$i > $i > $o, 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X1478)|((X1478)=(X1479))))&((~(subset @ X1480 @ emptyset)|((X1480)=(emptyset)))&((~(subset @ X1482 @ X1481)|(in @ X1482 @ (powerset @ X1481)))&((~(in @ X1484 @ (powerset @ X1483))|(subset @ X1484 @ X1483))&((in @ X1485 @ (powerset @ X1485))&((~(subset @ X1486 @ X1487)|(subset @ (powerset @ X1486) @ (powerset @ X1487)))&((in @ (dsetconstr @ X1488 @ X1489) @ (powerset @ X1488))&((subset @ (dsetconstr @ X1490 @ X1491) @ X1490)&((~(in @ X1494 @ X1492)|(in @ X1494 @ (binunion @ X1492 @ X1493)))&((in @ X1496 @ (setadjoin @ X1495 @ (setadjoin @ X1496 @ emptyset)))&((~(in @ X1499 @ X1498)|(in @ X1499 @ (binunion @ X1497 @ X1498)))&(((((in @ X1502 @ X1501)|(X1503)|(in @ X1502 @ X1500)|~(in @ X1502 @ (binunion @ X1500 @ X1501)))&(~(X1503)|(X1503)|(in @ X1502 @ X1500)|~(in @ X1502 @ (binunion @ X1500 @ X1501))))&(((in @ X1502 @ X1501)|(X1503)|~(X1503)|~(in @ X1502 @ (binunion @ X1500 @ X1501)))&(~(X1503)|(X1503)|~(X1503)|~(in @ X1502 @ (binunion @ X1500 @ X1501)))))&((~(in @ X1506 @ (binunion @ X1504 @ X1505))|((in @ X1506 @ X1504)|(in @ X1506 @ X1505)))&((subset @ X1507 @ (binunion @ X1507 @ X1508))&((subset @ X1510 @ (binunion @ X1509 @ X1510))&((~(in @ X1513 @ X1511)|(~(in @ X1513 @ X1512)|(in @ X1513 @ (binintersect @ X1511 @ X1512))))&((~(subset @ X1516 @ X1514)|(~(subset @ X1516 @ X1515)|(subset @ X1516 @ (binintersect @ X1514 @ X1515))))&((~(in @ X1519 @ (binintersect @ X1517 @ X1518))|(in @ X1519 @ X1517))&((subset @ (binintersect @ X1520 @ X1521) @ X1520)&((~(subset @ X1522 @ X1523)|((binintersect @ X1522 @ X1523)=(X1522)))&((((binintersect @ X1524 @ X1525)!=(X1525))|(subset @ X1525 @ X1524))&((~(in @ X1528 @ (binintersect @ X1526 @ X1527))|(in @ X1528 @ X1527))&((((in @ (esk38_2 @ X1529 @ X1530) @ X1529)|((binintersect @ X1529 @ X1530)=(emptyset)))&((in @ (esk38_2 @ X1529 @ X1530) @ X1530)|((binintersect @ X1529 @ X1530)=(emptyset))))&((subset @ (binintersect @ X1532 @ X1533) @ X1533)&((~(subset @ X1535 @ X1534)|((binintersect @ X1534 @ X1535)=(X1535)))&((((binintersect @ X1536 @ X1537)!=(X1536))|(subset @ X1536 @ X1537))&(((binintersect @ X1538 @ (binunion @ X1539 @ X1540))=(binunion @ (binintersect @ X1538 @ X1539) @ (binintersect @ X1538 @ X1540)))&((~(in @ X1543 @ X1541)|((in @ X1543 @ X1542)|(in @ X1543 @ (setminus @ X1541 @ X1542))))&((~(in @ X1546 @ (setminus @ X1544 @ X1545))|(in @ X1546 @ X1544))&((~(in @ X1549 @ (setminus @ X1547 @ X1548))|~(in @ X1549 @ X1548))&((~(subset @ X1550 @ X1551)|((setminus @ X1550 @ X1551)=(emptyset)))&(((in @ X1554 @ (setminus @ X1552 @ X1553))|(~(in @ X1554 @ X1552)|(in @ X1554 @ X1553)))&(((in @ X1557 @ (setminus @ X1555 @ X1556))|((in @ X1557 @ X1556)|~(in @ X1557 @ X1555)))&(((in @ X1560 @ X1558)|~(in @ X1560 @ (setminus @ X1558 @ X1559)))&((~(in @ X1563 @ X1562)|~(in @ X1563 @ (setminus @ X1561 @ X1562)))&((subset @ (setminus @ X1564 @ X1565) @ X1564)&((((setminus @ X1566 @ X1567)!=(emptyset))|(subset @ X1566 @ X1567))&((((~(in @ X1570 @ X1568)|(X1571)|(in @ X1570 @ X1568)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(((in @ X1570 @ X1569)|(X1571)|(in @ X1570 @ X1568)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(~(X1571)|(X1571)|(in @ X1570 @ X1568)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))))&(((~(in @ X1570 @ X1568)|(X1571)|~(in @ X1570 @ X1569)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(((in @ X1570 @ X1569)|(X1571)|~(in @ X1570 @ X1569)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(~(X1571)|(X1571)|~(in @ X1570 @ X1569)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))))&((~(in @ X1570 @ X1568)|(X1571)|~(X1571)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(((in @ X1570 @ X1569)|(X1571)|~(X1571)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))&(~(X1571)|(X1571)|~(X1571)|~(in @ X1570 @ (symdiff @ X1568 @ X1569)))))))&((~(in @ X1574 @ X1572)|((in @ X1574 @ X1573)|(in @ X1574 @ (symdiff @ X1572 @ X1573))))&(((in @ X1577 @ X1575)|(~(in @ X1577 @ X1576)|(in @ X1577 @ (symdiff @ X1575 @ X1576))))&((~(in @ X1580 @ X1578)|(~(in @ X1580 @ X1579)|~(in @ X1580 @ (symdiff @ X1578 @ X1579))))&(((in @ X1583 @ X1581)|((in @ X1583 @ X1582)|~(in @ X1583 @ (symdiff @ X1581 @ X1582))))&((in @ X1585 @ (setadjoin @ X1584 @ (setadjoin @ X1585 @ emptyset)))&((in @ X1586 @ (setunion @ (setadjoin @ (setadjoin @ X1586 @ emptyset) @ (setadjoin @ (setadjoin @ X1586 @ (setadjoin @ X1587 @ emptyset)) @ emptyset))))&((in @ X1589 @ (setunion @ (setadjoin @ (setadjoin @ X1588 @ emptyset) @ (setadjoin @ (setadjoin @ X1588 @ (setadjoin @ X1589 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1590 @ emptyset) @ (setadjoin @ (setadjoin @ X1590 @ (setadjoin @ X1591 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1592 @ X1593))&((~(in @ X1595 @ X1594)|(subset @ (setadjoin @ X1595 @ emptyset) @ X1594))&((~(in @ X1597 @ X1596)|(in @ (setadjoin @ X1597 @ emptyset) @ (powerset @ X1596)))&((~(in @ X1600 @ X1598)|(in @ (setadjoin @ X1600 @ emptyset) @ (powerset @ (binunion @ X1598 @ X1599))))&((~(in @ X1603 @ (setadjoin @ X1601 @ (setadjoin @ X1602 @ emptyset)))|(((X1603)=(X1601))|((X1603)=(X1602))))&((~(in @ X1606 @ X1604)|(~(in @ X1607 @ X1605)|(subset @ (setadjoin @ X1606 @ (setadjoin @ X1607 @ emptyset)) @ (binunion @ X1604 @ X1605))))&((~(in @ X1610 @ X1608)|(~(in @ X1611 @ X1609)|(in @ (setadjoin @ X1610 @ (setadjoin @ X1611 @ emptyset)) @ (powerset @ (binunion @ X1608 @ X1609)))))&((~(in @ X1614 @ X1612)|(~(in @ X1615 @ X1613)|(subset @ (setadjoin @ (setadjoin @ X1614 @ emptyset) @ (setadjoin @ (setadjoin @ X1614 @ (setadjoin @ X1615 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1612 @ X1613)))))&((~(in @ X1618 @ X1616)|(~(in @ X1619 @ X1617)|(in @ (setadjoin @ (setadjoin @ X1618 @ emptyset) @ (setadjoin @ (setadjoin @ X1618 @ (setadjoin @ X1619 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1616 @ X1617))))))&((~(in @ X1622 @ X1620)|(~(in @ X1623 @ X1621)|(in @ (kpair @ X1622 @ X1623) @ (powerset @ (powerset @ (binunion @ X1620 @ X1621))))))&((~(in @ X1626 @ X1624)|(~(in @ X1627 @ X1625)|(in @ (kpair @ X1626 @ X1627) @ (cartprod @ X1624 @ X1625))))&((((in @ (esk39_3 @ X1628 @ X1629 @ X1630) @ X1628)|~(in @ X1630 @ (cartprod @ X1628 @ X1629)))&(((in @ (esk40_3 @ X1628 @ X1629 @ X1630) @ X1629)|~(in @ X1630 @ (cartprod @ X1628 @ X1629)))&(((X1630)=(kpair @ (esk39_3 @ X1628 @ X1629 @ X1630) @ (esk40_3 @ X1628 @ X1629 @ X1630)))|~(in @ X1630 @ (cartprod @ X1628 @ X1629)))))&((~(in @ X1635 @ (cartprod @ X1633 @ X1634))|(iskpair @ X1635))&((((in @ (esk41_2 @ X1636 @ X1637) @ X1636)|~(in @ X1637 @ (setunion @ X1636)))&((in @ X1637 @ (esk41_2 @ X1636 @ X1637))|~(in @ X1637 @ (setunion @ X1636))))&((subset @ (setunion @ (setadjoin @ X1639 @ emptyset)) @ X1639)&((subset @ X1640 @ (setunion @ (setadjoin @ X1640 @ emptyset)))&(((setunion @ (setadjoin @ X1641 @ emptyset))=(X1641))&((((in @ (esk42_2 @ X1642 @ X1643) @ X1642)|(~(in @ X1646 @ X1642)|~(X1643 @ X1646)|(singleton @ (dsetconstr @ X1642 @ X1643))))&(((in @ (esk43_2 @ X1642 @ X1643) @ X1642)|(~(in @ X1646 @ X1642)|~(X1643 @ X1646)|(singleton @ (dsetconstr @ X1642 @ X1643))))&(((X1643 @ (esk42_2 @ X1642 @ X1643))|(~(in @ X1646 @ X1642)|~(X1643 @ X1646)|(singleton @ (dsetconstr @ X1642 @ X1643))))&(((X1643 @ (esk43_2 @ X1642 @ X1643))|(~(in @ X1646 @ X1642)|~(X1643 @ X1646)|(singleton @ (dsetconstr @ X1642 @ X1643))))&(((esk42_2 @ X1642 @ X1643)!=(esk43_2 @ X1642 @ X1643))|(~(in @ X1646 @ X1642)|~(X1643 @ X1646)|(singleton @ (dsetconstr @ X1642 @ X1643))))))))&((((in @ (esk44_2 @ X1647 @ X1648) @ X1647)|~(ex1 @ X1647 @ X1648))&((X1648 @ (esk44_2 @ X1647 @ X1648))|~(ex1 @ X1647 @ X1648)))&((((in @ (esk45_3 @ X1650 @ X1651 @ X1652) @ X1650)|(ex1 @ X1650 @ X1651)|~(X1651 @ X1652)|~(in @ X1652 @ X1650))&(((X1651 @ (esk45_3 @ X1650 @ X1651 @ X1652))|(ex1 @ X1650 @ X1651)|~(X1651 @ X1652)|~(in @ X1652 @ X1650))&(((esk45_3 @ X1650 @ X1651 @ X1652)!=(X1652))|(ex1 @ X1650 @ X1651)|~(X1651 @ X1652)|~(in @ X1652 @ X1650))))&((((in @ (esk46_2 @ X1654 @ X1655) @ X1654)|(~(in @ X1658 @ X1654)|~(X1655 @ X1658)|(ex1 @ X1654 @ X1655)))&(((in @ (esk47_2 @ X1654 @ X1655) @ X1654)|(~(in @ X1658 @ X1654)|~(X1655 @ X1658)|(ex1 @ X1654 @ X1655)))&(((X1655 @ (esk46_2 @ X1654 @ X1655))|(~(in @ X1658 @ X1654)|~(X1655 @ X1658)|(ex1 @ X1654 @ X1655)))&(((X1655 @ (esk47_2 @ X1654 @ X1655))|(~(in @ X1658 @ X1654)|~(X1655 @ X1658)|(ex1 @ X1654 @ X1655)))&(((esk46_2 @ X1654 @ X1655)!=(esk47_2 @ X1654 @ X1655))|(~(in @ X1658 @ X1654)|~(X1655 @ X1658)|(ex1 @ X1654 @ X1655)))))))&((((setadjoin @ X1659 @ emptyset)!=(setadjoin @ X1660 @ emptyset))|((X1659)=(X1660)))&((~(in @ (setadjoin @ X1663 @ emptyset) @ (setadjoin @ (setadjoin @ X1661 @ emptyset) @ (setadjoin @ (setadjoin @ X1661 @ (setadjoin @ X1662 @ emptyset)) @ emptyset)))|((X1661)=(X1663)))&((~(iskpair @ X1664)|(singleton @ (dsetconstr @ (setunion @ X1664) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1664))))))&((~(singleton @ X1665)|(in @ (setunion @ X1665) @ X1665))&(((kfst @ (kpair @ X1666 @ X1667))=(X1666))&((~(in @ X1670 @ (cartprod @ X1668 @ X1669))|(in @ (kfst @ X1670) @ X1668))&((((setadjoin @ (setadjoin @ X1671 @ emptyset) @ (setadjoin @ (setadjoin @ X1671 @ (setadjoin @ X1672 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1673 @ emptyset) @ (setadjoin @ (setadjoin @ X1673 @ (setadjoin @ X1674 @ emptyset)) @ emptyset)))|((X1671)=(X1673)))&((((kpair @ X1675 @ X1676)!=(kpair @ X1677 @ X1678))|((X1675)=(X1677)))&((((X1679)!=(X1680))|((setadjoin @ X1679 @ (setadjoin @ X1680 @ emptyset))=(setadjoin @ X1679 @ emptyset)))&((((X1681)!=(X1682))|((setadjoin @ (setadjoin @ X1681 @ emptyset) @ (setadjoin @ (setadjoin @ X1681 @ (setadjoin @ X1682 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1681 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1683 @ emptyset) @ (setadjoin @ (setadjoin @ X1683 @ (setadjoin @ X1684 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1685 @ emptyset) @ (setadjoin @ (setadjoin @ X1685 @ (setadjoin @ X1686 @ emptyset)) @ emptyset)))|(((X1685)!=(X1686))|((X1684)=(X1686))))&((((setadjoin @ X1687 @ (setadjoin @ X1688 @ emptyset))!=(setadjoin @ X1689 @ emptyset))|((X1687)=(X1688)))&((((setadjoin @ (setadjoin @ X1690 @ emptyset) @ (setadjoin @ (setadjoin @ X1690 @ (setadjoin @ X1691 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1692 @ emptyset) @ (setadjoin @ (setadjoin @ X1692 @ (setadjoin @ X1693 @ emptyset)) @ emptyset)))|((X1691)=(X1693)))&((((kpair @ X1694 @ X1695)!=(kpair @ X1696 @ X1697))|((X1695)=(X1697)))&((~(iskpair @ X1698)|(singleton @ (dsetconstr @ (setunion @ X1698) @ (^[Z0/* 3 */:$i]:(((X1698)=(kpair @ (kfst @ X1698) @ Z0)))))))&(((ksnd @ (kpair @ X1699 @ X1700))=(X1700))&((~(iskpair @ X1701)|((kpair @ (kfst @ X1701) @ (ksnd @ X1701))=(X1701)))&((~(in @ X1704 @ (cartprod @ X1702 @ X1703))|(in @ (ksnd @ X1704) @ X1703))&((~(in @ (kpair @ X1707 @ X1708) @ (cartprod @ X1705 @ X1706))|(in @ X1707 @ X1705))&((~(in @ (kpair @ X1711 @ X1712) @ (cartprod @ X1709 @ X1710))|(in @ X1712 @ X1710))&((~(in @ X1715 @ X1713)|(~(in @ X1716 @ X1714)|((kpair @ X1715 @ X1716)=(kpair @ X1715 @ X1716))))&((~(in @ X1719 @ X1717)|(~(in @ X1720 @ X1718)|((kfst @ (kpair @ X1719 @ X1720))=(X1719))))&((~(in @ X1723 @ X1721)|(~(in @ X1724 @ X1722)|((ksnd @ (kpair @ X1723 @ X1724))=(X1724))))&((~(in @ X1727 @ (cartprod @ X1725 @ X1726))|((kpair @ (kfst @ X1727) @ (ksnd @ X1727))=(X1727)))&((~(in @ X1731 @ X1728)|(~(in @ X1732 @ X1729)|(~(X1730 @ X1731 @ X1732)|(in @ (kpair @ X1731 @ X1732) @ (dpsetconstr @ X1728 @ X1729 @ X1730)))))&((subset @ (dpsetconstr @ X1733 @ X1734 @ X1735) @ (cartprod @ X1733 @ X1734))&((breln @ X1736 @ X1737 @ (dpsetconstr @ X1736 @ X1737 @ X1738))&((~(in @ X1742 @ X1739)|(~(in @ X1743 @ X1740)|(~(in @ (kpair @ X1742 @ X1743) @ (dpsetconstr @ X1739 @ X1740 @ X1741))|(X1741 @ X1742 @ X1743))))&((~(in @ (kpair @ X1747 @ X1748) @ (dpsetconstr @ X1744 @ X1745 @ X1746))|(in @ X1747 @ X1744))&((~(in @ (kpair @ X1752 @ X1753) @ (dpsetconstr @ X1749 @ X1750 @ X1751))|(in @ X1753 @ X1750))&((~(in @ (kpair @ X1757 @ X1758) @ (dpsetconstr @ X1754 @ X1755 @ X1756))|(X1756 @ X1757 @ X1758))&((~(func @ X1759 @ X1760 @ X1761)|(~(in @ X1762 @ X1759)|(singleton @ (dsetconstr @ X1760 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1762 @ Z0) @ X1761)))))))&((~(func @ X1763 @ X1764 @ X1765)|(~(in @ X1766 @ X1763)|(in @ (setunion @ (dsetconstr @ X1764 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1766 @ Z0) @ X1765))))) @ X1764)))&((~(func @ X1767 @ X1768 @ X1769)|(~(in @ X1770 @ X1767)|(in @ (ap @ X1767 @ X1768 @ X1769 @ X1770) @ X1768)))&((~(in @ X1773 @ (funcSet @ X1771 @ X1772))|(func @ X1771 @ X1772 @ X1773))&((~(in @ X1776 @ (funcSet @ X1774 @ X1775))|(~(in @ X1777 @ X1774)|(in @ (ap @ X1774 @ X1775 @ X1776 @ X1777) @ X1775)))&((~(func @ X1778 @ X1779 @ X1780)|(in @ X1780 @ (funcSet @ X1778 @ X1779)))&((((in @ (esk48_3 @ X1781 @ X1782 @ X1783) @ X1781)|(func @ X1781 @ X1782 @ (dpsetconstr @ X1781 @ X1782 @ (^[Z0/* 3 */:$i]:($eq @ (X1783 @ Z0))))))&(~(in @ (X1783 @ (esk48_3 @ X1781 @ X1782 @ X1783)) @ X1782)|(func @ X1781 @ X1782 @ (dpsetconstr @ X1781 @ X1782 @ (^[Z0/* 3 */:$i]:($eq @ (X1783 @ Z0)))))))&((((in @ (esk49_3 @ X1785 @ X1786 @ X1787) @ X1785)|(func @ X1785 @ X1786 @ (lam @ X1785 @ X1786 @ X1787)))&(~(in @ (X1787 @ (esk49_3 @ X1785 @ X1786 @ X1787)) @ X1786)|(func @ X1785 @ X1786 @ (lam @ X1785 @ X1786 @ X1787))))&((((in @ (esk50_3 @ X1789 @ X1790 @ X1791) @ X1789)|(in @ (lam @ X1789 @ X1790 @ X1791) @ (funcSet @ X1789 @ X1790)))&(~(in @ (X1791 @ (esk50_3 @ X1789 @ X1790 @ X1791)) @ X1790)|(in @ (lam @ X1789 @ X1790 @ X1791) @ (funcSet @ X1789 @ X1790))))&((((in @ (esk51_4 @ X1793 @ X1794 @ X1795 @ X1796) @ X1793)|(~(in @ X1799 @ X1795)|(X1796 @ X1799))|~(breln @ X1793 @ X1794 @ X1795))&(((in @ (esk52_4 @ X1793 @ X1794 @ X1795 @ X1796) @ X1794)|(~(in @ X1799 @ X1795)|(X1796 @ X1799))|~(breln @ X1793 @ X1794 @ X1795))&(((in @ (kpair @ (esk51_4 @ X1793 @ X1794 @ X1795 @ X1796) @ (esk52_4 @ X1793 @ X1794 @ X1795 @ X1796)) @ X1795)|(~(in @ X1799 @ X1795)|(X1796 @ X1799))|~(breln @ X1793 @ X1794 @ X1795))&(~(X1796 @ (kpair @ (esk51_4 @ X1793 @ X1794 @ X1795 @ X1796) @ (esk52_4 @ X1793 @ X1794 @ X1795 @ X1796)))|(~(in @ X1799 @ X1795)|(X1796 @ X1799))|~(breln @ X1793 @ X1794 @ X1795)))))&((((in @ (esk53_4 @ X1800 @ X1801 @ X1802 @ X1803) @ X1800)|(~(in @ X1806 @ X1802)|(X1803 @ X1806))|~(breln @ X1800 @ X1801 @ X1802))&(((in @ (esk54_4 @ X1800 @ X1801 @ X1802 @ X1803) @ X1801)|(~(in @ X1806 @ X1802)|(X1803 @ X1806))|~(breln @ X1800 @ X1801 @ X1802))&(((in @ (kpair @ (esk53_4 @ X1800 @ X1801 @ X1802 @ X1803) @ (esk54_4 @ X1800 @ X1801 @ X1802 @ X1803)) @ X1802)|(~(in @ X1806 @ X1802)|(X1803 @ X1806))|~(breln @ X1800 @ X1801 @ X1802))&(~(X1803 @ (kpair @ (esk53_4 @ X1800 @ X1801 @ X1802 @ X1803) @ (esk54_4 @ X1800 @ X1801 @ X1802 @ X1803)))|(~(in @ X1806 @ X1802)|(X1803 @ X1806))|~(breln @ X1800 @ X1801 @ X1802)))))&((~(ex1 @ X1807 @ X1808)|(~(in @ X1809 @ X1807)|(~(in @ X1810 @ X1807)|(~(X1808 @ X1809)|(~(X1808 @ X1810)|((X1809)=(X1810)))))))&((~(func @ X1811 @ X1812 @ X1813)|(~(in @ X1814 @ X1811)|(in @ (kpair @ X1814 @ (ap @ X1811 @ X1812 @ X1813 @ X1814)) @ X1813)))&((~(in @ X1817 @ (funcSet @ X1815 @ X1816))|(~(in @ X1818 @ X1815)|(in @ (kpair @ X1818 @ (ap @ X1815 @ X1816 @ X1817 @ X1818)) @ X1817)))&((~(func @ X1819 @ X1820 @ X1821)|(~(in @ X1822 @ X1819)|(~(in @ X1823 @ X1820)|(~(in @ (kpair @ X1822 @ X1823) @ X1821)|((ap @ X1819 @ X1820 @ X1821 @ X1822)=(X1823))))))&((((in @ (esk55_4 @ X1824 @ X1825 @ X1826 @ X1827) @ X1824)|(~(in @ X1829 @ X1824)|(~(in @ X1830 @ X1825)|(~(in @ (kpair @ X1829 @ X1830) @ X1827)|(in @ (kpair @ X1829 @ X1830) @ X1826))))|~(func @ X1824 @ X1825 @ X1827)|~(func @ X1824 @ X1825 @ X1826))&(((ap @ X1824 @ X1825 @ X1826 @ (esk55_4 @ X1824 @ X1825 @ X1826 @ X1827))!=(ap @ X1824 @ X1825 @ X1827 @ (esk55_4 @ X1824 @ X1825 @ X1826 @ X1827)))|(~(in @ X1829 @ X1824)|(~(in @ X1830 @ X1825)|(~(in @ (kpair @ X1829 @ X1830) @ X1827)|(in @ (kpair @ X1829 @ X1830) @ X1826))))|~(func @ X1824 @ X1825 @ X1827)|~(func @ X1824 @ X1825 @ X1826)))&((in @ esk58_0 @ (funcSet @ esk56_0 @ esk57_0))&((in @ esk59_0 @ esk56_0)&((in @ esk60_0 @ esk57_0)&((in @ (kpair @ esk59_0 @ esk60_0) @ esk58_0)&((ap @ esk56_0 @ esk57_0 @ esk58_0 @ esk59_0)!=(esk60_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_246])])])])])])])).
253.65/32.66	thf(c_0_248, negated_conjecture, ![X3:$i, X2:$i, X7:$i, X5:$i, X4:$i]:((((ap @ X2 @ X3 @ X4 @ X5)=(X7))|~((func @ X2 @ X3 @ X4))|~((in @ X5 @ X2))|~((in @ X7 @ X3))|~((in @ (kpair @ X5 @ X7) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_247])).
253.65/32.66	thf(c_0_249, negated_conjecture, (in @ (kpair @ esk59_0 @ esk60_0) @ esk58_0), inference(split_conjunct,[status(thm)],[c_0_247])).
253.65/32.66	thf(c_0_250, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((func @ X3 @ X4 @ X2)|~((in @ X2 @ (funcSet @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_247])).
253.65/32.66	thf(c_0_251, negated_conjecture, (in @ esk58_0 @ (funcSet @ esk56_0 @ esk57_0)), inference(split_conjunct,[status(thm)],[c_0_247])).
253.65/32.66	thf(c_0_252, negated_conjecture, ((ap @ esk56_0 @ esk57_0 @ esk58_0 @ esk59_0)!=(esk60_0)), inference(split_conjunct,[status(thm)],[c_0_247])).
253.65/32.66	thf(c_0_253, negated_conjecture, ![X3:$i, X2:$i]:((((ap @ X2 @ X3 @ esk58_0 @ esk59_0)=(esk60_0))|~((func @ X2 @ X3 @ esk58_0))|~((in @ esk60_0 @ X3))|~((in @ esk59_0 @ X2)))), inference(spm,[status(thm)],[c_0_248, c_0_249])).
253.65/32.66	thf(c_0_254, negated_conjecture, (func @ esk56_0 @ esk57_0 @ esk58_0), inference(spm,[status(thm)],[c_0_250, c_0_251])).
253.65/32.66	thf(c_0_255, negated_conjecture, (in @ esk60_0 @ esk57_0), inference(split_conjunct,[status(thm)],[c_0_247])).
253.65/32.66	thf(c_0_256, negated_conjecture, (in @ esk59_0 @ esk56_0), inference(split_conjunct,[status(thm)],[c_0_247])).
253.65/32.66	thf(c_0_257, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252, c_0_253]), c_0_254]), c_0_255]), c_0_256])]), ['proof']).
253.65/32.66	# SZS output end CNFRefutation
253.65/32.66	# Parsed axioms                        : 453
253.65/32.66	# Removed by relevancy pruning/SinE    : 249
253.65/32.66	# Initial clauses                      : 319
253.65/32.66	# Removed in clause preprocessing      : 26
253.65/32.66	# Initial clauses in saturation        : 293
253.65/32.66	# Processed clauses                    : 12131
253.65/32.66	# ...of these trivial                  : 37
253.65/32.66	# ...subsumed                          : 7102
253.65/32.66	# ...remaining for further processing  : 4992
253.65/32.66	# Other redundant clauses eliminated   : 135
253.65/32.66	# Clauses deleted for lack of memory   : 0
253.65/32.66	# Backward-subsumed                    : 116
253.65/32.66	# Backward-rewritten                   : 11
253.65/32.66	# Generated clauses                    : 889143
253.65/32.66	# ...of the previous two non-redundant : 885128
253.65/32.66	# ...aggressively subsumed             : 0
253.65/32.66	# Contextual simplify-reflections      : 45
253.65/32.66	# Paramodulations                      : 888841
253.65/32.66	# Factorizations                       : 118
253.65/32.66	# NegExts                              : 23
253.65/32.66	# Equation resolutions                 : 153
253.65/32.66	# Disequality decompositions           : 0
253.65/32.66	# Total rewrite steps                  : 13377
253.65/32.66	# ...of those cached                   : 12631
253.65/32.66	# Propositional unsat checks           : 0
253.65/32.66	#    Propositional check models        : 0
253.65/32.66	#    Propositional check unsatisfiable : 0
253.65/32.66	#    Propositional clauses             : 0
253.65/32.66	#    Propositional clauses after purity: 0
253.65/32.66	#    Propositional unsat core size     : 0
253.65/32.66	#    Propositional preprocessing time  : 0.000
253.65/32.66	#    Propositional encoding time       : 0.000
253.65/32.66	#    Propositional solver time         : 0.000
253.65/32.66	#    Success case prop preproc time    : 0.000
253.65/32.66	#    Success case prop encoding time   : 0.000
253.65/32.66	#    Success case prop solver time     : 0.000
253.65/32.66	# Current number of processed clauses  : 4599
253.65/32.66	#    Positive orientable unit clauses  : 83
253.65/32.66	#    Positive unorientable unit clauses: 0
253.65/32.66	#    Negative unit clauses             : 196
253.65/32.66	#    Non-unit-clauses                  : 4320
253.65/32.66	# Current number of unprocessed clauses: 873093
253.65/32.66	# ...number of literals in the above   : 3924287
253.65/32.66	# Current number of archived formulas  : 0
253.65/32.66	# Current number of archived clauses   : 380
253.65/32.66	# Clause-clause subsumption calls (NU) : 1998628
253.65/32.66	# Rec. Clause-clause subsumption calls : 996751
253.65/32.66	# Non-unit clause-clause subsumptions  : 5339
253.65/32.66	# Unit Clause-clause subsumption calls : 26762
253.65/32.66	# Rewrite failures with RHS unbound    : 0
253.65/32.66	# BW rewrite match attempts            : 37
253.65/32.66	# BW rewrite match successes           : 10
253.65/32.66	# Condensation attempts                : 0
253.65/32.66	# Condensation successes               : 0
253.65/32.66	# Termbank termtop insertions          : 20363670
253.65/32.66	# Search garbage collected termcells   : 18966
253.65/32.66	
253.65/32.66	# -------------------------------------------------
253.65/32.66	# User time                : 30.597 s
253.65/32.66	# System time              : 0.757 s
253.65/32.66	# Total time               : 31.354 s
253.65/32.66	# Maximum resident set size: 6548 pages
253.65/32.66	
253.65/32.66	# -------------------------------------------------
253.65/32.66	# User time                : 30.602 s
253.65/32.66	# System time              : 0.763 s
253.65/32.66	# Total time               : 31.365 s
253.65/32.66	# Maximum resident set size: 2340 pages
253.65/32.66	% E exiting
253.65/32.66	% E exiting
253.65/32.66	EOF