0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : run_E %s %d THM
0.12/0.32	% Computer : n024.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1440
0.12/0.33	% WCLimit    : 180
0.12/0.33	% DateTime   : Thu Jul  4 07:46:23 EDT 2024
0.12/0.33	% CPUTime    : 
0.19/0.46	Running higher-order theorem proving
0.19/0.52	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p
11.57/1.99	# Version: 3.2.0-ho
11.57/1.99	# Preprocessing class: HSLMSLSSLLLCHFA.
11.57/1.99	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
11.57/1.99	# Starting ehoh_best5 with 180s (1) cores
11.57/1.99	# Starting almost_fo_3_lam with 180s (1) cores
11.57/1.99	# Starting new_bool_5 with 180s (1) cores
11.57/1.99	# Starting pre_casc_3 with 180s (1) cores
11.57/1.99	# Starting ho_unfolding_8 with 180s (1) cores
11.57/1.99	# Starting new_ho_10_cnf2 with 180s (1) cores
11.57/1.99	# Starting new_bool_3 with 180s (1) cores
11.57/1.99	# Starting new_ho_5 with 180s (1) cores
11.57/1.99	# new_bool_3 with pid 27681 completed with status 0
11.57/1.99	# Result found by new_bool_3
11.57/1.99	# Preprocessing class: HSLMSLSSLLLCHFA.
11.57/1.99	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
11.57/1.99	# Starting ehoh_best5 with 180s (1) cores
11.57/1.99	# Starting almost_fo_3_lam with 180s (1) cores
11.57/1.99	# Starting new_bool_5 with 180s (1) cores
11.57/1.99	# Starting pre_casc_3 with 180s (1) cores
11.57/1.99	# Starting ho_unfolding_8 with 180s (1) cores
11.57/1.99	# Starting new_ho_10_cnf2 with 180s (1) cores
11.57/1.99	# Starting new_bool_3 with 180s (1) cores
11.57/1.99	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
11.57/1.99	# Search class: HGHSM-FSLM32-MHFMMSBN
11.57/1.99	# Scheduled 9 strats onto 1 cores with 180 seconds (180 total)
11.57/1.99	# Starting ho_unfolding_8 with 37s (1) cores
11.57/1.99	# ho_unfolding_8 with pid 27688 completed with status 0
11.57/1.99	# Result found by ho_unfolding_8
11.57/1.99	# Preprocessing class: HSLMSLSSLLLCHFA.
11.57/1.99	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
11.57/1.99	# Starting ehoh_best5 with 180s (1) cores
11.57/1.99	# Starting almost_fo_3_lam with 180s (1) cores
11.57/1.99	# Starting new_bool_5 with 180s (1) cores
11.57/1.99	# Starting pre_casc_3 with 180s (1) cores
11.57/1.99	# Starting ho_unfolding_8 with 180s (1) cores
11.57/1.99	# Starting new_ho_10_cnf2 with 180s (1) cores
11.57/1.99	# Starting new_bool_3 with 180s (1) cores
11.57/1.99	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
11.57/1.99	# Search class: HGHSM-FSLM32-MHFMMSBN
11.57/1.99	# Scheduled 9 strats onto 1 cores with 180 seconds (180 total)
11.57/1.99	# Starting ho_unfolding_8 with 37s (1) cores
11.57/1.99	# Preprocessing time       : 0.067 s
11.57/1.99	# Presaturation interreduction done
11.57/1.99	
11.57/1.99	# Proof found!
11.57/1.99	# SZS status Theorem
11.57/1.99	# SZS output start CNFRefutation
11.57/1.99	thf(decl_22, type, in: $i > $i > $o).
11.57/1.99	thf(decl_23, type, exu: ($i > $o) > $o).
11.57/1.99	thf(decl_24, type, setextAx: $o).
11.57/1.99	thf(decl_25, type, emptyset: $i).
11.57/1.99	thf(decl_26, type, emptysetAx: $o).
11.57/1.99	thf(decl_27, type, setadjoin: $i > $i > $i).
11.57/1.99	thf(decl_28, type, setadjoinAx: $o).
11.57/1.99	thf(decl_29, type, powerset: $i > $i).
11.57/1.99	thf(decl_30, type, powersetAx: $o).
11.57/1.99	thf(decl_31, type, setunion: $i > $i).
11.57/1.99	thf(decl_32, type, setunionAx: $o).
11.57/1.99	thf(decl_33, type, omega: $i).
11.57/1.99	thf(decl_34, type, omega0Ax: $o).
11.57/1.99	thf(decl_35, type, omegaSAx: $o).
11.57/1.99	thf(decl_36, type, omegaIndAx: $o).
11.57/1.99	thf(decl_37, type, replAx: $o).
11.57/1.99	thf(decl_38, type, foundationAx: $o).
11.57/1.99	thf(decl_39, type, wellorderingAx: $o).
11.57/1.99	thf(decl_40, type, descr: ($i > $o) > $i).
11.57/1.99	thf(decl_41, type, descrp: $o).
11.57/1.99	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_43, type, dsetconstrI: $o).
11.57/1.99	thf(decl_44, type, dsetconstrEL: $o).
11.57/1.99	thf(decl_45, type, dsetconstrER: $o).
11.57/1.99	thf(decl_46, type, exuE1: $o).
11.57/1.99	thf(decl_47, type, prop2set: $o > $i).
11.57/1.99	thf(decl_48, type, prop2setE: $o).
11.57/1.99	thf(decl_49, type, emptysetE: $o).
11.57/1.99	thf(decl_50, type, emptysetimpfalse: $o).
11.57/1.99	thf(decl_51, type, notinemptyset: $o).
11.57/1.99	thf(decl_52, type, exuE3e: $o).
11.57/1.99	thf(decl_53, type, setext: $o).
11.57/1.99	thf(decl_54, type, emptyI: $o).
11.57/1.99	thf(decl_55, type, noeltsimpempty: $o).
11.57/1.99	thf(decl_56, type, setbeta: $o).
11.57/1.99	thf(decl_57, type, nonempty: $i > $o).
11.57/1.99	thf(decl_58, type, nonemptyE1: $o).
11.57/1.99	thf(decl_59, type, nonemptyI: $o).
11.57/1.99	thf(decl_60, type, nonemptyI1: $o).
11.57/1.99	thf(decl_61, type, setadjoinIL: $o).
11.57/1.99	thf(decl_62, type, emptyinunitempty: $o).
11.57/1.99	thf(decl_63, type, setadjoinIR: $o).
11.57/1.99	thf(decl_64, type, setadjoinE: $o).
11.57/1.99	thf(decl_65, type, setadjoinOr: $o).
11.57/1.99	thf(decl_66, type, setoftrueEq: $o).
11.57/1.99	thf(decl_67, type, powersetI: $o).
11.57/1.99	thf(decl_68, type, emptyinPowerset: $o).
11.57/1.99	thf(decl_69, type, emptyInPowerset: $o).
11.57/1.99	thf(decl_70, type, powersetE: $o).
11.57/1.99	thf(decl_71, type, setunionI: $o).
11.57/1.99	thf(decl_72, type, setunionE: $o).
11.57/1.99	thf(decl_73, type, subPowSU: $o).
11.57/1.99	thf(decl_74, type, exuE2: $o).
11.57/1.99	thf(decl_75, type, nonemptyImpWitness: $o).
11.57/1.99	thf(decl_76, type, uniqinunit: $o).
11.57/1.99	thf(decl_77, type, notinsingleton: $o).
11.57/1.99	thf(decl_78, type, eqinunit: $o).
11.57/1.99	thf(decl_79, type, singletonsswitch: $o).
11.57/1.99	thf(decl_80, type, upairsetE: $o).
11.57/1.99	thf(decl_81, type, upairsetIL: $o).
11.57/1.99	thf(decl_82, type, upairsetIR: $o).
11.57/1.99	thf(decl_83, type, emptyE1: $o).
11.57/1.99	thf(decl_84, type, vacuousDall: $o).
11.57/1.99	thf(decl_85, type, quantDeMorgan1: $o).
11.57/1.99	thf(decl_86, type, quantDeMorgan2: $o).
11.57/1.99	thf(decl_87, type, quantDeMorgan3: $o).
11.57/1.99	thf(decl_88, type, quantDeMorgan4: $o).
11.57/1.99	thf(decl_89, type, prop2setI: $o).
11.57/1.99	thf(decl_91, type, prop2set2propI: $o).
11.57/1.99	thf(decl_92, type, notdexE: $o).
11.57/1.99	thf(decl_93, type, notdallE: $o).
11.57/1.99	thf(decl_94, type, exuI1: $o).
11.57/1.99	thf(decl_95, type, exuI3: $o).
11.57/1.99	thf(decl_96, type, exuI2: $o).
11.57/1.99	thf(decl_97, type, inCongP: $o).
11.57/1.99	thf(decl_98, type, in__Cong: $o).
11.57/1.99	thf(decl_99, type, exuE3u: $o).
11.57/1.99	thf(decl_100, type, exu__Cong: $o).
11.57/1.99	thf(decl_101, type, emptyset__Cong: $o).
11.57/1.99	thf(decl_102, type, setadjoin__Cong: $o).
11.57/1.99	thf(decl_103, type, powerset__Cong: $o).
11.57/1.99	thf(decl_104, type, setunion__Cong: $o).
11.57/1.99	thf(decl_105, type, omega__Cong: $o).
11.57/1.99	thf(decl_106, type, exuEu: $o).
11.57/1.99	thf(decl_107, type, descr__Cong: $o).
11.57/1.99	thf(decl_108, type, dsetconstr__Cong: $o).
11.57/1.99	thf(decl_109, type, subset: $i > $i > $o).
11.57/1.99	thf(decl_112, type, subsetI1: $o).
11.57/1.99	thf(decl_113, type, eqimpsubset2: $o).
11.57/1.99	thf(decl_114, type, eqimpsubset1: $o).
11.57/1.99	thf(decl_115, type, subsetI2: $o).
11.57/1.99	thf(decl_116, type, emptysetsubset: $o).
11.57/1.99	thf(decl_117, type, subsetE: $o).
11.57/1.99	thf(decl_118, type, subsetE2: $o).
11.57/1.99	thf(decl_119, type, notsubsetI: $o).
11.57/1.99	thf(decl_120, type, notequalI1: $o).
11.57/1.99	thf(decl_121, type, notequalI2: $o).
11.57/1.99	thf(decl_122, type, subsetRefl: $o).
11.57/1.99	thf(decl_123, type, subsetTrans: $o).
11.57/1.99	thf(decl_124, type, setadjoinSub: $o).
11.57/1.99	thf(decl_125, type, setadjoinSub2: $o).
11.57/1.99	thf(decl_126, type, subset2powerset: $o).
11.57/1.99	thf(decl_127, type, setextsub: $o).
11.57/1.99	thf(decl_128, type, subsetemptysetimpeq: $o).
11.57/1.99	thf(decl_129, type, powersetI1: $o).
11.57/1.99	thf(decl_130, type, powersetE1: $o).
11.57/1.99	thf(decl_131, type, inPowerset: $o).
11.57/1.99	thf(decl_132, type, powersetsubset: $o).
11.57/1.99	thf(decl_133, type, sepInPowerset: $o).
11.57/1.99	thf(decl_134, type, sepSubset: $o).
11.57/1.99	thf(decl_135, type, binunion: $i > $i > $i).
11.57/1.99	thf(decl_136, type, binunionIL: $o).
11.57/1.99	thf(decl_137, type, upairset2IR: $o).
11.57/1.99	thf(decl_138, type, binunionIR: $o).
11.57/1.99	thf(decl_139, type, binunionEcases: $o).
11.57/1.99	thf(decl_140, type, binunionE: $o).
11.57/1.99	thf(decl_141, type, binunionLsub: $o).
11.57/1.99	thf(decl_142, type, binunionRsub: $o).
11.57/1.99	thf(decl_143, type, binintersect: $i > $i > $i).
11.57/1.99	thf(decl_144, type, binintersectI: $o).
11.57/1.99	thf(decl_145, type, binintersectSubset5: $o).
11.57/1.99	thf(decl_146, type, binintersectEL: $o).
11.57/1.99	thf(decl_147, type, binintersectLsub: $o).
11.57/1.99	thf(decl_148, type, binintersectSubset2: $o).
11.57/1.99	thf(decl_149, type, binintersectSubset3: $o).
11.57/1.99	thf(decl_150, type, binintersectER: $o).
11.57/1.99	thf(decl_151, type, disjointsetsI1: $o).
11.57/1.99	thf(decl_152, type, binintersectRsub: $o).
11.57/1.99	thf(decl_153, type, binintersectSubset4: $o).
11.57/1.99	thf(decl_154, type, binintersectSubset1: $o).
11.57/1.99	thf(decl_155, type, bs114d: $o).
11.57/1.99	thf(decl_157, type, setminus: $i > $i > $i).
11.57/1.99	thf(decl_158, type, setminusI: $o).
11.57/1.99	thf(decl_159, type, setminusEL: $o).
11.57/1.99	thf(decl_160, type, setminusER: $o).
11.57/1.99	thf(decl_161, type, setminusSubset2: $o).
11.57/1.99	thf(decl_162, type, setminusERneg: $o).
11.57/1.99	thf(decl_163, type, setminusELneg: $o).
11.57/1.99	thf(decl_164, type, setminusILneg: $o).
11.57/1.99	thf(decl_165, type, setminusIRneg: $o).
11.57/1.99	thf(decl_166, type, setminusLsub: $o).
11.57/1.99	thf(decl_167, type, setminusSubset1: $o).
11.57/1.99	thf(decl_168, type, symdiff: $i > $i > $i).
11.57/1.99	thf(decl_169, type, symdiffE: $o).
11.57/1.99	thf(decl_170, type, symdiffI1: $o).
11.57/1.99	thf(decl_171, type, symdiffI2: $o).
11.57/1.99	thf(decl_172, type, symdiffIneg1: $o).
11.57/1.99	thf(decl_173, type, symdiffIneg2: $o).
11.57/1.99	thf(decl_174, type, iskpair: $i > $o).
11.57/1.99	thf(decl_175, type, secondinupair: $o).
11.57/1.99	thf(decl_176, type, setukpairIL: $o).
11.57/1.99	thf(decl_177, type, setukpairIR: $o).
11.57/1.99	thf(decl_178, type, kpairiskpair: $o).
11.57/1.99	thf(decl_179, type, kpair: $i > $i > $i).
11.57/1.99	thf(decl_180, type, kpairp: $o).
11.57/1.99	thf(decl_181, type, cartprod: $i > $i > $i).
11.57/1.99	thf(decl_182, type, singletonsubset: $o).
11.57/1.99	thf(decl_183, type, singletoninpowerset: $o).
11.57/1.99	thf(decl_184, type, singletoninpowunion: $o).
11.57/1.99	thf(decl_185, type, upairset2E: $o).
11.57/1.99	thf(decl_186, type, upairsubunion: $o).
11.57/1.99	thf(decl_187, type, upairinpowunion: $o).
11.57/1.99	thf(decl_188, type, ubforcartprodlem1: $o).
11.57/1.99	thf(decl_189, type, ubforcartprodlem2: $o).
11.57/1.99	thf(decl_190, type, ubforcartprodlem3: $o).
11.57/1.99	thf(decl_191, type, cartprodpairin: $o).
11.57/1.99	thf(decl_192, type, cartprodmempair1: $o).
11.57/1.99	thf(decl_193, type, cartprodmempair: $o).
11.57/1.99	thf(decl_194, type, setunionE2: $o).
11.57/1.99	thf(decl_195, type, setunionsingleton1: $o).
11.57/1.99	thf(decl_196, type, setunionsingleton2: $o).
11.57/1.99	thf(decl_197, type, setunionsingleton: $o).
11.57/1.99	thf(decl_198, type, singleton: $i > $o).
11.57/1.99	thf(decl_199, type, singletonprop: $o).
11.57/1.99	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
11.57/1.99	thf(decl_201, type, ex1E1: $o).
11.57/1.99	thf(decl_202, type, ex1I: $o).
11.57/1.99	thf(decl_203, type, ex1I2: $o).
11.57/1.99	thf(decl_204, type, singletonsuniq: $o).
11.57/1.99	thf(decl_209, type, setukpairinjL1: $o).
11.57/1.99	thf(decl_210, type, kfstsingleton: $o).
11.57/1.99	thf(decl_211, type, theprop: $o).
11.57/1.99	thf(decl_212, type, kfst: $i > $i).
11.57/1.99	thf(decl_213, type, kfstpairEq: $o).
11.57/1.99	thf(decl_214, type, cartprodfstin: $o).
11.57/1.99	thf(decl_215, type, setukpairinjL2: $o).
11.57/1.99	thf(decl_216, type, setukpairinjL: $o).
11.57/1.99	thf(decl_217, type, setukpairinjR11: $o).
11.57/1.99	thf(decl_218, type, setukpairinjR12: $o).
11.57/1.99	thf(decl_219, type, setukpairinjR1: $o).
11.57/1.99	thf(decl_220, type, upairequniteq: $o).
11.57/1.99	thf(decl_221, type, setukpairinjR2: $o).
11.57/1.99	thf(decl_222, type, setukpairinjR: $o).
11.57/1.99	thf(decl_223, type, ksndsingleton: $o).
11.57/1.99	thf(decl_224, type, ksnd: $i > $i).
11.57/1.99	thf(decl_225, type, ksndpairEq: $o).
11.57/1.99	thf(decl_226, type, kpairsurjEq: $o).
11.57/1.99	thf(decl_227, type, cartprodsndin: $o).
11.57/1.99	thf(decl_228, type, cartprodpairmemEL: $o).
11.57/1.99	thf(decl_229, type, cartprodpairmemER: $o).
11.57/1.99	thf(decl_230, type, cartprodmempaircEq: $o).
11.57/1.99	thf(decl_231, type, cartprodfstpairEq: $o).
11.57/1.99	thf(decl_232, type, cartprodsndpairEq: $o).
11.57/1.99	thf(decl_233, type, cartprodpairsurjEq: $o).
11.57/1.99	thf(decl_234, type, breln: $i > $i > $i > $o).
11.57/1.99	thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
11.57/1.99	thf(decl_236, type, dpsetconstrI: $o).
11.57/1.99	thf(decl_237, type, dpsetconstrSub: $o).
11.57/1.99	thf(decl_238, type, setOfPairsIsBReln: $o).
11.57/1.99	thf(decl_239, type, dpsetconstrERa: $o).
11.57/1.99	thf(decl_240, type, dpsetconstrEL1: $o).
11.57/1.99	thf(decl_241, type, dpsetconstrEL2: $o).
11.57/1.99	thf(decl_242, type, dpsetconstrER: $o).
11.57/1.99	thf(decl_243, type, func: $i > $i > $i > $o).
11.57/1.99	thf(decl_244, type, funcSet: $i > $i > $i).
11.57/1.99	thf(decl_245, type, funcImageSingleton: $o).
11.57/1.99	thf(decl_246, type, apProp: $o).
11.57/1.99	thf(decl_247, type, ap: $i > $i > $i > $i > $i).
11.57/1.99	thf(decl_248, type, app: $o).
11.57/1.99	thf(decl_249, type, infuncsetfunc: $o).
11.57/1.99	thf(decl_250, type, ap2p: $o).
11.57/1.99	thf(decl_251, type, funcinfuncset: $o).
11.57/1.99	thf(decl_252, type, lamProp: $o).
11.57/1.99	thf(decl_253, type, lam: $i > $i > ($i > $i) > $i).
11.57/1.99	thf(decl_254, type, lamp: $o).
11.57/1.99	thf(decl_255, type, lam2p: $o).
11.57/1.99	thf(decl_256, type, brelnall1: $o).
11.57/1.99	thf(decl_257, type, brelnall2: $o).
11.57/1.99	thf(decl_258, type, ex1E2: $o).
11.57/1.99	thf(decl_259, type, funcGraphProp1: $o).
11.57/1.99	thf(decl_260, type, funcGraphProp3: $o).
11.57/1.99	thf(decl_261, type, funcGraphProp2: $o).
11.57/1.99	thf(decl_262, type, funcextLem: $o).
11.57/1.99	thf(decl_263, type, funcGraphProp4: $o).
11.57/1.99	thf(decl_264, type, subbreln: $o).
11.57/1.99	thf(decl_265, type, eqbreln: $o).
11.57/1.99	thf(decl_266, type, funcext: $o).
11.57/1.99	thf(decl_267, type, funcext2: $o).
11.57/1.99	thf(decl_268, type, ap2apEq1: $o).
11.57/1.99	thf(decl_269, type, ap2apEq2: $o).
11.57/1.99	thf(decl_270, type, beta1: $o).
11.57/1.99	thf(decl_271, type, eta1: $o).
11.57/1.99	thf(decl_272, type, lam2lamEq: $o).
11.57/1.99	thf(decl_273, type, beta2: $o).
11.57/1.99	thf(decl_274, type, eta2: $o).
11.57/1.99	thf(decl_275, type, iffalseProp1: $o).
11.57/1.99	thf(decl_276, type, iffalseProp2: $o).
11.57/1.99	thf(decl_277, type, iftrueProp1: $o).
11.57/1.99	thf(decl_278, type, iftrueProp2: $o).
11.57/1.99	thf(decl_279, type, ifSingleton: $o).
11.57/1.99	thf(decl_280, type, if: $i > $o > $i > $i > $i).
11.57/1.99	thf(decl_281, type, ifp: $o).
11.57/1.99	thf(decl_282, type, theeq: $o).
11.57/1.99	thf(decl_283, type, iftrue: $o).
11.57/1.99	thf(decl_284, type, iffalse: $o).
11.57/1.99	thf(decl_285, type, iftrueorfalse: $o).
11.57/1.99	thf(decl_286, type, binintersectT_lem: $o).
11.57/1.99	thf(decl_287, type, binunionT_lem: $o).
11.57/1.99	thf(decl_288, type, powersetT_lem: $o).
11.57/1.99	thf(decl_289, type, epred1_0: $o).
11.57/1.99	thf(decl_290, type, esk1_2: $i > $i > $i).
11.57/1.99	thf(decl_291, type, esk2_2: $i > $i > $i).
11.57/1.99	thf(decl_292, type, esk3_2: $i > $i > $i).
11.57/1.99	thf(decl_293, type, esk4_1: $i > $i).
11.57/1.99	thf(decl_294, type, esk5_2: ($i > $i > $o) > $i > $i).
11.57/1.99	thf(decl_295, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
11.57/1.99	thf(decl_296, type, esk7_2: ($i > $i > $o) > $i > $i).
11.57/1.99	thf(decl_297, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
11.57/1.99	thf(decl_298, type, esk9_1: $i > $i).
11.57/1.99	thf(decl_299, type, esk10_2: ($i > $o) > $i > $i).
11.57/1.99	thf(decl_300, type, esk11_2: ($i > $o) > $i > $i).
11.57/1.99	thf(decl_301, type, esk12_1: ($i > $o) > $i).
11.57/1.99	thf(decl_302, type, esk13_2: ($i > $o) > $i > $i).
11.57/1.99	thf(decl_303, type, esk14_1: ($i > $o) > $i).
11.57/1.99	thf(decl_304, type, esk15_2: $i > $i > $i).
11.57/1.99	thf(decl_305, type, esk16_2: $i > $i > $i).
11.57/1.99	thf(decl_306, type, esk17_1: $i > $i).
11.57/1.99	thf(decl_307, type, esk18_1: $i > $i).
11.57/1.99	thf(decl_308, type, esk19_1: $i > $i).
11.57/1.99	thf(decl_309, type, esk20_2: $i > $i > $i).
11.57/1.99	thf(decl_310, type, esk21_3: $i > $i > $o > $i).
11.57/1.99	thf(decl_311, type, esk22_2: ($i > $o) > $i > $i).
11.57/1.99	thf(decl_312, type, esk23_1: ($i > $o) > $i).
11.57/1.99	thf(decl_313, type, esk24_1: $i > $i).
11.57/1.99	thf(decl_314, type, esk25_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_315, type, esk26_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_316, type, esk27_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_317, type, esk28_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_318, type, esk29_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_319, type, esk30_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_320, type, esk31_2: ($i > $o) > $i > $i).
11.57/1.99	thf(decl_321, type, esk32_1: ($i > $o) > $i).
11.57/1.99	thf(decl_322, type, esk33_1: ($i > $o) > $i).
11.57/1.99	thf(decl_323, type, esk34_1: ($i > $o) > $i).
11.57/1.99	thf(decl_324, type, esk35_1: ($i > $o) > $i).
11.57/1.99	thf(decl_325, type, esk36_2: ($i > $o) > $i > $i).
11.57/1.99	thf(decl_326, type, esk37_1: ($i > $o) > $i).
11.57/1.99	thf(decl_327, type, esk38_2: ($i > $o) > $i > $i).
11.57/1.99	thf(decl_328, type, esk39_2: ($i > $o) > ($i > $o) > $i).
11.57/1.99	thf(decl_329, type, esk40_2: ($i > $o) > ($i > $o) > $i).
11.57/1.99	thf(decl_330, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
11.57/1.99	thf(decl_331, type, esk42_2: ($i > $o) > ($i > $o) > $i).
11.57/1.99	thf(decl_332, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
11.57/1.99	thf(decl_333, type, esk44_2: ($i > $o) > ($i > $o) > $i).
11.57/1.99	thf(decl_334, type, esk45_2: ($i > $o) > $i > $i).
11.57/1.99	thf(decl_335, type, esk46_2: ($i > $o) > ($i > $o) > $i).
11.57/1.99	thf(decl_336, type, esk47_2: ($i > $o) > ($i > $o) > $i).
11.57/1.99	thf(decl_337, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
11.57/1.99	thf(decl_338, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
11.57/1.99	thf(decl_339, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
11.57/1.99	thf(decl_340, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
11.57/1.99	thf(decl_341, type, esk52_2: $i > $i > $i).
11.57/1.99	thf(decl_342, type, esk53_2: $i > $i > $i).
11.57/1.99	thf(decl_343, type, esk54_2: $i > $i > $i).
11.57/1.99	thf(decl_344, type, esk55_3: $i > $i > $i > $i).
11.57/1.99	thf(decl_345, type, esk56_3: $i > $i > $i > $i).
11.57/1.99	thf(decl_346, type, esk57_2: $i > $i > $i).
11.57/1.99	thf(decl_347, type, esk58_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_348, type, esk59_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_349, type, esk60_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_350, type, esk61_3: $i > ($i > $o) > $i > $i).
11.57/1.99	thf(decl_351, type, esk62_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_352, type, esk63_2: $i > ($i > $o) > $i).
11.57/1.99	thf(decl_353, type, esk64_3: $i > $i > ($i > $i) > $i).
11.57/1.99	thf(decl_354, type, esk65_3: $i > $i > ($i > $i) > $i).
11.57/1.99	thf(decl_355, type, esk66_3: $i > $i > ($i > $i) > $i).
11.57/1.99	thf(decl_356, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
11.57/1.99	thf(decl_357, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
11.57/1.99	thf(decl_358, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
11.57/1.99	thf(decl_359, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
11.57/1.99	thf(decl_360, type, esk71_4: $i > $i > $i > $i > $i).
11.57/1.99	thf(decl_361, type, esk72_4: $i > $i > $i > $i > $i).
11.57/1.99	thf(decl_362, type, esk73_4: $i > $i > $i > $i > $i).
11.57/1.99	thf(decl_363, type, esk74_4: $i > $i > $i > $i > $i).
11.57/1.99	thf(decl_364, type, esk75_4: $i > $i > $i > $i > $i).
11.57/1.99	thf(decl_365, type, esk76_4: $i > $i > $i > $i > $i).
11.57/1.99	thf(decl_366, type, esk77_4: $i > $i > $i > $i > $i).
11.57/1.99	thf(decl_367, type, esk78_4: $i > $i > $i > $i > $i).
11.57/1.99	thf(decl_368, type, esk79_4: $i > $i > $i > $i > $i).
11.57/1.99	thf(decl_369, type, esk80_3: $i > $i > ($i > $i) > $i).
11.57/1.99	thf(decl_370, type, esk81_3: $i > $i > ($i > $i) > $i).
11.57/1.99	thf(decl_371, type, esk82_3: $i > $i > ($i > $i) > $i).
11.57/1.99	thf(decl_372, type, esk83_0: $i).
11.57/1.99	thf(decl_373, type, esk84_0: $i).
11.57/1.99	thf(decl_374, type, esk85_0: $i).
11.57/1.99	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', exu__Cong)).
11.57/1.99	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', exu)).
11.57/1.99	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', exuE2)).
11.57/1.99	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', nonempty)).
11.57/1.99	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', nonemptyI)).
11.57/1.99	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', exuE1)).
11.57/1.99	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', descrp)).
11.57/1.99	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', replAx)).
11.57/1.99	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ex1E1)).
11.57/1.99	thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ex1)).
11.57/1.99	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ex1I)).
11.57/1.99	thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ex1E2)).
11.57/1.99	thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', breln)).
11.57/1.99	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setOfPairsIsBReln)).
11.57/1.99	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ex1I2)).
11.57/1.99	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', descr__Cong)).
11.57/1.99	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', exuEu)).
11.57/1.99	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', exuE3u)).
11.57/1.99	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', exuI2)).
11.57/1.99	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', exuI3)).
11.57/1.99	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', exuI1)).
11.57/1.99	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', exuE3e)).
11.57/1.99	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', dsetconstr__Cong)).
11.57/1.99	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setoftrueEq)).
11.57/1.99	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', nonemptyI1)).
11.57/1.99	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setbeta)).
11.57/1.99	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', singletonprop)).
11.57/1.99	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', kfstsingleton)).
11.57/1.99	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ksndsingleton)).
11.57/1.99	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', dpsetconstrI)).
11.57/1.99	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', dpsetconstrEL1)).
11.57/1.99	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', dpsetconstrER)).
11.57/1.99	thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', apProp)).
11.57/1.99	thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', lamProp)).
11.57/1.99	thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', lam2p)).
11.57/1.99	thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', eqbreln)).
11.57/1.99	thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', beta2)).
11.57/1.99	thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', eta2)).
11.57/1.99	thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((X42)&((X14)=(X2)))|(~((X42))&((X14)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', iftrueProp2)).
11.57/1.99	thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((X43)&((X14)=(X2)))|(~((X43))&((X14)=(X3))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ifSingleton)).
11.57/1.99	thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X41)&((X14)=(X2)))|(~((X41))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', iftrueProp1)).
11.57/1.99	thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((X40)&((X14)=(X2)))|(~((X40))&((X14)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', iffalseProp2)).
11.57/1.99	thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X39)&((X14)=(X2)))|(~((X39))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', iffalseProp1)).
11.57/1.99	thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', lam2lamEq)).
11.57/1.99	thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', eta1)).
11.57/1.99	thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', beta1)).
11.57/1.99	thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', subbreln)).
11.57/1.99	thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', brelnall2)).
11.57/1.99	thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', brelnall1)).
11.57/1.99	thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', lamp)).
11.57/1.99	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', funcImageSingleton)).
11.57/1.99	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', dpsetconstrEL2)).
11.57/1.99	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', dpsetconstrERa)).
11.57/1.99	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', dpsetconstrSub)).
11.57/1.99	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', sepSubset)).
11.57/1.99	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', sepInPowerset)).
11.57/1.99	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', emptyE1)).
11.57/1.99	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', nonemptyImpWitness)).
11.57/1.99	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', nonemptyE1)).
11.57/1.99	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', dsetconstrER)).
11.57/1.99	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', dsetconstrEL)).
11.57/1.99	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', dsetconstrI)).
11.57/1.99	thf(setminusT_lem, conjecture, (((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((((omegaIndAx)=>(((foundationAx)=>((((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((((emptysetE)=>((((exuE3e)=>(((emptyI)=>((noeltsimpempty)=>(((nonemptyE1)=>((((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>(((setadjoinOr)=>((((emptyinPowerset)=>((emptyInPowerset)=>((((setunionE)=>((subPowSU)=>(((nonemptyImpWitness)=>((((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>(((quantDeMorgan4)=>((prop2setI)=>((((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((((exuE3u)=>(((emptyset__Cong)=>(((powerset__Cong)=>((((exuEu)=>((descr__Cong)=>(((((eqimpsubset1)=>(((((subsetE2)=>((notsubsetI)=>((((subsetRefl)=>(((setadjoinSub)=>(((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>(((powersetE1)=>((inPowerset)=>(((((binunionIL)=>((upairset2IR)=>((binunionIR)=>(((binunionE)=>((((binintersectI)=>(((((((binintersectER)=>(((binintersectRsub)=>((binintersectSubset4)=>(((((setminusEL)=>((setminusER)=>((((setminusELneg)=>((((setminusLsub)=>((((((symdiffIneg1)=>(((secondinupair)=>((((((singletonsubset)=>((singletoninpowerset)=>(((upairset2E)=>(((upairinpowunion)=>(((ubforcartprodlem2)=>((((((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>((ex1I)=>(((singletonsuniq)=>(((kfstsingleton)=>((theprop)=>((kfstpairEq)=>((((setukpairinjL)=>((((setukpairinjR1)=>((upairequniteq)=>((((ksndsingleton)=>((ksndpairEq)=>(((cartprodsndin)=>(((((((cartprodpairsurjEq)=>((dpsetconstrI)=>(((((dpsetconstrEL1)=>(((dpsetconstrER)=>(((apProp)=>((((ap2p)=>((funcinfuncset)=>((lamProp)=>(((lam2p)=>((((ex1E2)=>(((funcGraphProp3)=>((funcGraphProp2)=>(((((eqbreln)=>((funcext)=>((funcext2)=>(((ap2apEq2)=>(((((beta2)=>((eta2)=>(((((iftrueProp2)=>((ifSingleton)=>((ifp)=>((((iffalse)=>((iftrueorfalse)=>((binintersectT_lem)=>((binunionT_lem)=>((powersetT_lem)=>![X4:$i, X21:$i]:((![X48:$i]:(((in @ (setminus @ X21 @ X48) @ (powerset @ X4))<=(in @ X48 @ (powerset @ X4))))<=(in @ X21 @ (powerset @ X4)))))))))<=(iftrue))<=(theeq)))))<=(iftrueProp1))<=(iffalseProp2))<=(iffalseProp1))))<=(lam2lamEq))<=(eta1))<=(beta1)))<=(ap2apEq1)))))<=(subbreln))<=(funcGraphProp4))<=(funcextLem))))<=(funcGraphProp1)))<=(brelnall2))<=(brelnall1)))<=(lamp)))))<=(infuncsetfunc))<=(app)))<=(funcImageSingleton)))<=(dpsetconstrEL2)))<=(dpsetconstrERa))<=(setOfPairsIsBReln))<=(dpsetconstrSub))))<=(cartprodsndpairEq))<=(cartprodfstpairEq))<=(cartprodmempaircEq))<=(cartprodpairmemER))<=(cartprodpairmemEL)))<=(kpairsurjEq))))<=(setukpairinjR))<=(setukpairinjR2))))<=(setukpairinjR12))<=(setukpairinjR11)))<=(setukpairinjL2))<=(cartprodfstin)))))<=(setukpairinjL1)))<=(ex1I2)))))))))<=(cartprodmempair))<=(cartprodmempair1))<=(cartprodpairin))<=(ubforcartprodlem3)))<=(ubforcartprodlem1)))<=(upairsubunion)))<=(singletoninpowunion))))<=(kpairp))<=(kpairiskpair))<=(setukpairIR))<=(setukpairIL)))<=(symdiffIneg2)))<=(symdiffI2))<=(symdiffI1))<=(symdiffE))<=(setminusSubset1)))<=(setminusIRneg))<=(setminusILneg)))<=(setminusERneg))<=(setminusSubset2))))<=(setminusI))<=(bs114d))<=(binintersectSubset1))))<=(disjointsetsI1)))<=(binintersectSubset3))<=(binintersectSubset2))<=(binintersectLsub))<=(binintersectEL))<=(binintersectSubset5)))<=(binunionRsub))<=(binunionLsub)))<=(binunionEcases)))))<=(sepSubset))<=(sepInPowerset))<=(powersetsubset))))<=(powersetI1)))))<=(setadjoinSub2)))<=(subsetTrans)))<=(notequalI2))<=(notequalI1))))<=(subsetE))<=(emptysetsubset))<=(subsetI2)))<=(eqimpsubset2))<=(subsetI1))<=(dsetconstr__Cong))))<=(omega__Cong))<=(setunion__Cong)))<=(setadjoin__Cong)))<=(exu__Cong)))<=(in__Cong))<=(inCongP))))))<=(notdexE))<=(prop2set2propI))))<=(quantDeMorgan3))))))<=(upairsetIR))<=(upairsetIL)))))<=(notinsingleton))<=(uniqinunit)))<=(exuE2))))<=(setunionI))<=(powersetE))))<=(powersetI))<=(setoftrueEq)))<=(setadjoinE)))))<=(nonemptyI1))<=(nonemptyI)))<=(setbeta))))<=(setext)))<=(notinemptyset))<=(emptysetimpfalse)))<=(prop2setE))<=(exuE1)))))<=(descrp))<=(wellorderingAx)))<=(replAx)))<=(omegaSAx))<=(omega0Ax))))))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusT_lem)).
11.57/1.99	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectI)).
11.57/1.99	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', powersetI)).
11.57/1.99	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setextAx)).
11.57/1.99	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', emptysetsubset)).
11.57/1.99	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binunionE)).
11.57/1.99	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', subsetI2)).
11.57/1.99	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', eqimpsubset2)).
11.57/1.99	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', subsetI1)).
11.57/1.99	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectSubset4)).
11.57/1.99	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', omega__Cong)).
11.57/1.99	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusEL)).
11.57/1.99	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setunion__Cong)).
11.57/1.99	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setadjoin__Cong)).
11.57/1.99	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusER)).
11.57/1.99	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', in__Cong)).
11.57/1.99	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', inCongP)).
11.57/1.99	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusELneg)).
11.57/1.99	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', notdexE)).
11.57/1.99	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', quantDeMorgan3)).
11.57/1.99	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', upairsetIR)).
11.57/1.99	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', upairsetIL)).
11.57/1.99	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusLsub)).
11.57/1.99	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', notinsingleton)).
11.57/1.99	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', uniqinunit)).
11.57/1.99	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', symdiffIneg1)).
11.57/1.99	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setunionI)).
11.57/1.99	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', powersetE)).
11.57/1.99	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', secondinupair)).
11.57/1.99	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setadjoinE)).
11.57/1.99	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', singletonsubset)).
11.57/1.99	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', singletoninpowerset)).
11.57/1.99	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setext)).
11.57/1.99	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', notinemptyset)).
11.57/1.99	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', upairset2E)).
11.57/1.99	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', emptysetimpfalse)).
11.57/1.99	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', prop2setE)).
11.57/1.99	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', upairinpowunion)).
11.57/1.99	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', wellorderingAx)).
11.57/1.99	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ubforcartprodlem2)).
11.57/1.99	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', omegaSAx)).
11.57/1.99	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', omega0Ax)).
11.57/1.99	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setunionE2)).
11.57/1.99	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setunionsingleton1)).
11.57/1.99	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setunionsingleton2)).
11.57/1.99	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setunionsingleton)).
11.57/1.99	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', singletonsuniq)).
11.57/1.99	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', theprop)).
11.57/1.99	thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binunionT_lem)).
11.57/1.99	thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', powersetT_lem)).
11.57/1.99	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', kfstpairEq)).
11.57/1.99	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setukpairinjL)).
11.57/1.99	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setukpairinjR1)).
11.57/1.99	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', upairequniteq)).
11.57/1.99	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ksndpairEq)).
11.57/1.99	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodsndin)).
11.57/1.99	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodpairsurjEq)).
11.57/1.99	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectER)).
11.57/1.99	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectRsub)).
11.57/1.99	thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ap2p)).
11.57/1.99	thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', funcinfuncset)).
11.57/1.99	thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', funcGraphProp3)).
11.57/1.99	thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', funcGraphProp2)).
11.57/1.99	thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', funcext)).
11.57/1.99	thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', funcext2)).
11.57/1.99	thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ap2apEq2)).
11.57/1.99	thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ifp)).
11.57/1.99	thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', iffalse)).
11.57/1.99	thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', iftrueorfalse)).
11.57/1.99	thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectT_lem)).
11.57/1.99	thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', iftrue)).
11.57/1.99	thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', theeq)).
11.57/1.99	thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ap2apEq1)).
11.57/1.99	thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', funcGraphProp4)).
11.57/1.99	thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', funcextLem)).
11.57/1.99	thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', funcGraphProp1)).
11.57/1.99	thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', infuncsetfunc)).
11.57/1.99	thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', app)).
11.57/1.99	thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodsndpairEq)).
11.57/1.99	thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodfstpairEq)).
11.57/1.99	thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodmempaircEq)).
11.57/1.99	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodpairmemER)).
11.57/1.99	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodpairmemEL)).
11.57/1.99	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', kpairsurjEq)).
11.57/1.99	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setukpairinjR)).
11.57/1.99	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setukpairinjR2)).
11.57/1.99	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setukpairinjR12)).
11.57/1.99	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setukpairinjR11)).
11.57/1.99	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setukpairinjL2)).
11.57/1.99	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodfstin)).
11.57/1.99	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setukpairinjL1)).
11.57/1.99	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodmempair)).
11.57/1.99	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodmempair1)).
11.57/1.99	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', cartprodpairin)).
11.57/1.99	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ubforcartprodlem3)).
11.57/1.99	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', ubforcartprodlem1)).
11.57/1.99	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', upairsubunion)).
11.57/1.99	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', singletoninpowunion)).
11.57/1.99	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', kpairp)).
11.57/1.99	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', kpairiskpair)).
11.57/1.99	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setukpairIR)).
11.57/1.99	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setukpairIL)).
11.57/1.99	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', symdiffIneg2)).
11.57/1.99	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', symdiffI2)).
11.57/1.99	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', symdiffI1)).
11.57/1.99	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', symdiffE)).
11.57/1.99	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusSubset1)).
11.57/1.99	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusIRneg)).
11.57/1.99	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusILneg)).
11.57/1.99	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusERneg)).
11.57/1.99	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusSubset2)).
11.57/1.99	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setminusI)).
11.57/1.99	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', bs114d)).
11.57/1.99	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectSubset1)).
11.57/1.99	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', disjointsetsI1)).
11.57/1.99	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectSubset3)).
11.57/1.99	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectSubset2)).
11.57/1.99	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectLsub)).
11.57/1.99	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectEL)).
11.57/1.99	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binintersectSubset5)).
11.57/1.99	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binunionRsub)).
11.57/1.99	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binunionLsub)).
11.57/1.99	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binunionEcases)).
11.57/1.99	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', powersetsubset)).
11.57/1.99	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', powersetI1)).
11.57/1.99	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setadjoinSub2)).
11.57/1.99	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', subsetTrans)).
11.57/1.99	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', notequalI2)).
11.57/1.99	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', notequalI1)).
11.57/1.99	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', subsetE)).
11.57/1.99	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binunionIR)).
11.57/1.99	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', upairset2IR)).
11.57/1.99	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', binunionIL)).
11.57/1.99	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', inPowerset)).
11.57/1.99	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', powersetE1)).
11.57/1.99	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', subsetemptysetimpeq)).
11.57/1.99	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setextsub)).
11.57/1.99	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', subset2powerset)).
11.57/1.99	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setadjoinSub)).
11.57/1.99	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', subsetRefl)).
11.57/1.99	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', notsubsetI)).
11.57/1.99	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', subsetE2)).
11.57/1.99	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', eqimpsubset1)).
11.57/1.99	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', powerset__Cong)).
11.57/1.99	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', emptyset__Cong)).
11.57/1.99	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', notdallE)).
11.57/1.99	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', prop2setI)).
11.57/1.99	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', quantDeMorgan4)).
11.57/1.99	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', quantDeMorgan2)).
11.57/1.99	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', quantDeMorgan1)).
11.57/1.99	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', vacuousDall)).
11.57/1.99	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', upairsetE)).
11.57/1.99	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', singletonsswitch)).
11.57/1.99	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', eqinunit)).
11.57/1.99	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', subPowSU)).
11.57/1.99	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setunionE)).
11.57/1.99	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', emptyInPowerset)).
11.57/1.99	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', emptyinPowerset)).
11.57/1.99	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setadjoinOr)).
11.57/1.99	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setadjoinIR)).
11.57/1.99	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', emptyinunitempty)).
11.57/1.99	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setadjoinIL)).
11.57/1.99	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', noeltsimpempty)).
11.57/1.99	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', emptyI)).
11.57/1.99	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', emptysetE)).
11.57/1.99	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', foundationAx)).
11.57/1.99	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', omegaIndAx)).
11.57/1.99	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setunionAx)).
11.57/1.99	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', powersetAx)).
11.57/1.99	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', setadjoinAx)).
11.57/1.99	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.lmhs8Mcq6B/E---3.1_27597.p', emptysetAx)).
11.57/1.99	thf(c_0_233, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
11.57/1.99	thf(c_0_234, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
11.57/1.99	thf(c_0_235, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
11.57/1.99	thf(c_0_236, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
11.57/1.99	thf(c_0_237, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
11.57/1.99	thf(c_0_238, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
11.57/1.99	thf(c_0_239, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
11.57/1.99	thf(c_0_240, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
11.57/1.99	thf(c_0_241, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
11.57/1.99	thf(c_0_242, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((singleton @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))))), inference(fof_simplification,[status(thm)],[ex1])).
11.57/1.99	thf(c_0_243, 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])).
11.57/1.99	thf(c_0_244, 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])).
11.57/1.99	thf(c_0_245, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
11.57/1.99	thf(c_0_246, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
11.57/1.99	thf(c_0_247, plain, ((ex1I2)<=>![X4:$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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
11.57/1.99	thf(c_0_248, plain, ((descr__Cong)<=>![X1:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
11.57/1.99	thf(c_0_249, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
11.57/1.99	thf(c_0_250, 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])).
11.57/1.99	thf(c_0_251, 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])).
11.57/1.99	thf(c_0_252, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
11.57/1.99	thf(c_0_253, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
11.57/1.99	thf(c_0_254, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
11.57/1.99	thf(c_0_255, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
11.57/1.99	thf(c_0_256, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X773:$i]:((((X1 @ X773))&![X774:$i]:((((X1 @ X774))=>((X773)=(X774)))))))<=>(?[X775:$i]:((((X17 @ X775))&![X776:$i]:((((X17 @ X776))=>((X775)=(X776)))))))))))), inference(apply_def,[status(thm)],[c_0_233, c_0_234])).
11.57/1.99	thf(c_0_257, plain, ((exuE2)=(![X1:$i > $o]:(((?[X763:$i]:((((X1 @ X763))&![X764:$i]:((((X1 @ X764))=>((X763)=(X764)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_235, c_0_234])).
11.57/1.99	thf(c_0_258, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
11.57/1.99	thf(c_0_259, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_236])).
11.57/1.99	thf(c_0_260, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_237, c_0_236])).
11.57/1.99	thf(c_0_261, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
11.57/1.99	thf(c_0_262, plain, ((exuE1)=(![X1:$i > $o]:(((?[X759:$i]:((((X1 @ X759))&![X760:$i]:((((X1 @ X760))=>((X759)=(X760)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_238, c_0_234])).
11.57/1.99	thf(c_0_263, plain, ((descrp)=(![X1:$i > $o]:(((?[X757:$i]:((((X1 @ X757))&![X758:$i]:((((X1 @ X758))=>((X757)=(X758)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_239, c_0_234])).
11.57/1.99	thf(c_0_264, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X755:$i]:((((X6 @ X2 @ X755))&![X756:$i]:((((X6 @ X2 @ X756))=>((X755)=(X756)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_240, c_0_234])).
11.57/1.99	thf(c_0_265, 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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
11.57/1.99	thf(c_0_266, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_241, c_0_242])).
11.57/1.99	thf(c_0_267, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))))))))), inference(apply_def,[status(thm)],[c_0_243, c_0_242])).
11.57/1.99	thf(c_0_268, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
11.57/1.99	thf(c_0_269, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
11.57/1.99	thf(c_0_270, 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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
11.57/1.99	thf(c_0_271, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
11.57/1.99	thf(c_0_272, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
11.57/1.99	thf(c_0_273, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
11.57/1.99	thf(c_0_274, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
11.57/1.99	thf(c_0_275, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
11.57/1.99	thf(c_0_276, plain, ((ex1E2)=(![X4:$i, X1:$i > $o]:((((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_244, c_0_242])).
11.57/1.99	thf(c_0_277, axiom, ((eqbreln)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X5)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35)))))))))), inference(apply_def,[status(thm)],[eqbreln, c_0_245])).
11.57/1.99	thf(c_0_278, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])).
11.57/1.99	thf(c_0_279, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
11.57/1.99	thf(c_0_280, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X42)&((Z0)=(X2)))|(~((X42))&((Z0)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
11.57/1.99	thf(c_0_281, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X43)&((Z0)=(X2)))|(~((X43))&((Z0)=(X3))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
11.57/1.99	thf(c_0_282, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X41)&((Z0)=(X2)))|(~((X41))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
11.57/1.99	thf(c_0_283, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X40)&((Z0)=(X2)))|(~((X40))&((Z0)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
11.57/1.99	thf(c_0_284, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X39)&((Z0)=(X2)))|(~((X39))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
11.57/1.99	thf(c_0_285, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])).
11.57/1.99	thf(c_0_286, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
11.57/1.99	thf(c_0_287, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])).
11.57/1.99	thf(c_0_288, axiom, ((subbreln)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X35:$i]:((((subset @ X35 @ (cartprod @ X4 @ X5)))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35)))))))), inference(apply_def,[status(thm)],[subbreln, c_0_245])).
11.57/1.99	thf(c_0_289, axiom, ((brelnall2)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall2, c_0_245])).
11.57/1.99	thf(c_0_290, axiom, ((brelnall1)=(![X4:$i, X5:$i, X33:$i]:((((subset @ X33 @ (cartprod @ X4 @ X5)))=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2))))))))), inference(apply_def,[status(thm)],[brelnall1, c_0_245])).
11.57/1.99	thf(c_0_291, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
11.57/1.99	thf(c_0_292, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
11.57/1.99	thf(c_0_293, 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:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
11.57/1.99	thf(c_0_294, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
11.57/1.99	thf(c_0_295, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_246, c_0_245])).
11.57/1.99	thf(c_0_296, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
11.57/1.99	thf(c_0_297, plain, ((ex1I2)=(![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))))))))), inference(apply_def,[status(thm)],[c_0_247, c_0_242])).
11.57/1.99	thf(c_0_298, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
11.57/1.99	thf(c_0_299, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
11.57/1.99	thf(c_0_300, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X779:$i]:((((X1 @ X779))&![X780:$i]:((((X1 @ X780))=>((X779)=(X780)))))))=>((?[X781:$i]:((((X17 @ X781))&![X782:$i]:((((X17 @ X782))=>((X781)=(X782)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_248, c_0_234])).
11.57/1.99	thf(c_0_301, plain, ((exuEu)=(![X1:$i > $o]:(((?[X777:$i]:((((X1 @ X777))&![X778:$i]:((((X1 @ X778))=>((X777)=(X778)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_249, c_0_234])).
11.57/1.99	thf(c_0_302, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X771:$i]:((((X1 @ X771))&![X772:$i]:((((X1 @ X772))=>((X771)=(X772)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_250, c_0_234])).
11.57/1.99	thf(c_0_303, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X769:$i]:((((X1 @ X769))&![X770:$i]:((((X1 @ X770))=>((X769)=(X770))))))))))), inference(apply_def,[status(thm)],[c_0_251, c_0_234])).
11.57/1.99	thf(c_0_304, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X767:$i]:((((X1 @ X767))&![X768:$i]:((((X1 @ X768))=>((X767)=(X768)))))))))))), inference(apply_def,[status(thm)],[c_0_252, c_0_234])).
11.57/1.99	thf(c_0_305, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X765:$i]:((((X1 @ X765))&![X766:$i]:((((X1 @ X766))=>((X765)=(X766))))))))))), inference(apply_def,[status(thm)],[c_0_253, c_0_234])).
11.57/1.99	thf(c_0_306, plain, ((emptyE1)<=>![X4:$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])).
11.57/1.99	thf(c_0_307, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_236])).
11.57/1.99	thf(c_0_308, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_236])).
11.57/1.99	thf(c_0_309, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X761:$i]:((((X1 @ X761))&![X762:$i]:((((X1 @ X762))=>((X761)=(X762)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_254, c_0_234])).
11.57/1.99	thf(c_0_310, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
11.57/1.99	thf(c_0_311, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
11.57/1.99	thf(c_0_312, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
11.57/1.99	thf(c_0_313, plain, ((epred1_0)<=>![X1483:$i]:(?[X1484:$i]:((((![X1485:$i]:(((in @ X1485 @ X1484)=>![X1486:$i]:(((in @ X1486 @ X1485)=>(in @ X1486 @ X1483)))))&![X1487:$i, X1488:$i]:((((in @ X1487 @ X1483)&(in @ X1488 @ X1483))=>(![X1489:$i]:(((in @ X1489 @ X1484)=>((in @ X1487 @ X1489)<=>(in @ X1488 @ X1489))))=>((X1487)=(X1488))))))&![X1490:$i, X1491:$i]:((((in @ X1490 @ X1484)&(in @ X1491 @ X1484))=>(![X1492:$i]:(((in @ X1492 @ X1490)=>(in @ X1492 @ X1491)))|![X1493:$i]:(((in @ X1493 @ X1491)=>(in @ X1493 @ X1490)))))))&![X1494:$i]:(((![X1495:$i]:(((in @ X1495 @ X1494)=>(in @ X1495 @ X1483)))&?[X1496:$i]:((in @ X1496 @ X1494)))=>?[X1497:$i, X1498:$i]:(((((in @ X1497 @ X1484)&(in @ X1498 @ X1494))&~(?[X1499:$i]:(((in @ X1499 @ X1497)&(in @ X1499 @ X1494)))))&![X1500:$i]:(((in @ X1500 @ X1484)=>(![X1501:$i]:(((in @ X1501 @ X1500)=>(in @ X1501 @ X1497)))|(in @ X1498 @ X1500)))))))))))), introduced(definition)).
11.57/1.99	thf(c_0_314, negated_conjecture, ~((![X1511:$i, X1512:$i]:((![X1513:$i]:(((in @ X1513 @ X1511)<=>(in @ X1513 @ X1512)))=>((X1511)=(X1512))))=>(![X783:$i]:(~(in @ X783 @ emptyset))=>(![X784:$i, X785:$i, X786:$i]:(((in @ X786 @ (setadjoin @ X784 @ X785))<=>(((X786)=(X784))|(in @ X786 @ X785))))=>(![X787:$i, X788:$i]:(((in @ X788 @ (powerset @ X787))<=>![X789:$i]:(((in @ X789 @ X788)=>(in @ X789 @ X787)))))=>(![X790:$i, X791:$i]:(((in @ X791 @ (setunion @ X790))<=>?[X792:$i]:(((in @ X791 @ X792)&(in @ X792 @ X790)))))=>((in @ emptyset @ omega)=>(![X1510:$i]:(((in @ X1510 @ omega)=>(in @ (setadjoin @ X1510 @ X1510) @ omega)))=>(![X793:$i]:((((in @ emptyset @ X793)&![X794:$i]:((((in @ X794 @ omega)&(in @ X794 @ X793))=>(in @ (setadjoin @ X794 @ X794) @ X793))))=>![X795:$i]:(((in @ X795 @ omega)=>(in @ X795 @ X793)))))=>(![X1502:$i > $i > $o, X1503:$i]:((![X1504:$i]:(((in @ X1504 @ X1503)=>?[X1505:$i]:(((X1502 @ X1504 @ X1505)&![X1506:$i]:(((X1502 @ X1504 @ X1506)=>((X1505)=(X1506))))))))=>?[X1507:$i]:(![X1508:$i]:(((in @ X1508 @ X1507)<=>?[X1509:$i]:(((in @ X1509 @ X1503)&(X1502 @ X1509 @ X1508))))))))=>(![X796:$i]:((?[X797:$i]:((in @ X797 @ X796))=>?[X798:$i]:(((in @ X798 @ X796)&~(?[X799:$i]:(((in @ X799 @ X798)&(in @ X799 @ X796))))))))=>((epred1_0)=>(![X1480:$i > $o]:((?[X1481:$i]:(((X1480 @ X1481)&![X1482:$i]:(((X1480 @ X1482)=>((X1481)=(X1482))))))=>(X1480 @ (descr @ (^[Z0/* 17 */:$i]:(X1480 @ Z0))))))=>(![X800:$i, X801:$i > $o, X802:$i]:(((in @ X802 @ X800)=>((X801 @ X802)=>(in @ X802 @ (dsetconstr @ X800 @ X801)))))=>(![X803:$i, X804:$i > $o, X805:$i]:(((in @ X805 @ (dsetconstr @ X803 @ X804))=>(in @ X805 @ X803)))=>(![X806:$i, X807:$i > $o, X808:$i]:(((in @ X808 @ (dsetconstr @ X806 @ X807))=>(X807 @ X808)))=>(![X1475:$i > $o]:((?[X1476:$i]:(((X1475 @ X1476)&![X1477:$i]:(((X1475 @ X1477)=>((X1476)=(X1477))))))=>?[X1478:$i]:(((X1475 @ X1478)&![X1479:$i]:(((X1475 @ X1479)=>((X1478)=(X1479))))))))=>(![X1473:$o, X1474:$i]:(((in @ X1474 @ (prop2set @ ((X1473))))=>(X1473)))=>(![X809:$i]:(((in @ X809 @ emptyset)=>![X810:$o]:((X810))))=>(![X1472:$i]:(((in @ X1472 @ emptyset)=>~($true)))=>(![X1471:$i]:(~(in @ X1471 @ emptyset))=>(![X811:$i > $o]:((?[X812:$i]:(((X811 @ X812)&![X813:$i]:(((X811 @ X813)=>((X812)=(X813))))))=>?[X814:$i]:((X811 @ X814))))=>(![X1467:$i, X1468:$i]:((![X1469:$i]:(((in @ X1469 @ X1467)=>(in @ X1469 @ X1468)))=>(![X1470:$i]:(((in @ X1470 @ X1468)=>(in @ X1470 @ X1467)))=>((X1467)=(X1468)))))=>(![X815:$i]:((![X816:$i]:(~(in @ X816 @ X815))=>((X815)=(emptyset))))=>(![X817:$i]:((![X818:$i]:(~(in @ X818 @ X817))=>((X817)=(emptyset))))=>(![X1464:$i, X1465:$i > $o, X1466:$i]:(((in @ X1466 @ X1464)=>((in @ X1466 @ (dsetconstr @ X1464 @ X1465))<=>(X1465 @ X1466))))=>(![X819:$i]:((((X819)!=(emptyset))=>?[X820:$i]:((in @ X820 @ X819))))=>(![X1461:$i, X1462:$i > $o, X1463:$i]:(((in @ X1463 @ X1461)=>((X1462 @ X1463)=>((dsetconstr @ X1461 @ X1462)!=(emptyset)))))=>(![X1459:$i]:((?[X1460:$i]:((in @ X1460 @ X1459))=>((X1459)!=(emptyset))))=>(![X821:$i, X822:$i]:((in @ X821 @ (setadjoin @ X821 @ X822)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X823:$i, X824:$i, X825:$i]:(((in @ X825 @ X824)=>(in @ X825 @ (setadjoin @ X823 @ X824))))=>(![X1455:$i, X1456:$i, X1457:$i]:(((in @ X1457 @ (setadjoin @ X1455 @ X1456))=>![X1458:$o]:(((((X1457)=(X1455))=>(X1458))=>(((in @ X1457 @ X1456)=>(X1458))=>(X1458))))))=>(![X826:$i, X827:$i, X828:$i]:(((in @ X828 @ (setadjoin @ X826 @ X827))=>(((X828)=(X826))|(in @ X828 @ X827))))=>(![X1454:$i]:(((dsetconstr @ X1454 @ (^[Z0/* 1 */:$i]:($true)))=(X1454)))=>(![X1451:$i, X1452:$i]:((![X1453:$i]:(((in @ X1453 @ X1452)=>(in @ X1453 @ X1451)))=>(in @ X1452 @ (powerset @ X1451))))=>(![X829:$i]:((in @ emptyset @ (powerset @ X829)))=>(![X830:$i]:((in @ emptyset @ (powerset @ X830)))=>(![X1448:$i, X1449:$i, X1450:$i]:(((in @ X1449 @ (powerset @ X1448))=>((in @ X1450 @ X1449)=>(in @ X1450 @ X1448))))=>(![X1445:$i, X1446:$i, X1447:$i]:(((in @ X1446 @ X1447)=>((in @ X1447 @ X1445)=>(in @ X1446 @ (setunion @ X1445)))))=>(![X831:$i, X832:$i]:(((in @ X832 @ (setunion @ X831))=>![X833:$o]:((![X834:$i]:(((in @ X832 @ X834)=>((in @ X834 @ X831)=>(X833))))=>(X833)))))=>(![X835:$i, X836:$i]:(((in @ X836 @ X835)=>(in @ X836 @ (powerset @ (setunion @ X835)))))=>(![X1440:$i > $o]:((?[X1441:$i]:(((X1440 @ X1441)&![X1442:$i]:(((X1440 @ X1442)=>((X1441)=(X1442))))))=>?[X1443:$i]:(![X1444:$i]:(((X1440 @ X1444)<=>((X1444)=(X1443)))))))=>(![X837:$i]:((((X837)!=(emptyset))=>?[X838:$i]:(((in @ X838 @ X837)&$true))))=>(![X1438:$i, X1439:$i]:(((in @ X1438 @ (setadjoin @ X1439 @ emptyset))=>((X1438)=(X1439))))=>(![X1436:$i, X1437:$i]:((((X1436)!=(X1437))=>~(in @ X1437 @ (setadjoin @ X1436 @ emptyset))))=>(![X839:$i, X840:$i]:((((X839)=(X840))=>(in @ X839 @ (setadjoin @ X840 @ emptyset))))=>(![X841:$i, X842:$i]:(((in @ X841 @ (setadjoin @ X842 @ emptyset))=>(in @ X842 @ (setadjoin @ X841 @ emptyset))))=>(![X843:$i, X844:$i, X845:$i]:(((in @ X845 @ (setadjoin @ X843 @ (setadjoin @ X844 @ emptyset)))=>(((X845)=(X843))|((X845)=(X844)))))=>(![X1434:$i, X1435:$i]:((in @ X1434 @ (setadjoin @ X1434 @ (setadjoin @ X1435 @ emptyset))))=>(![X1432:$i, X1433:$i]:((in @ X1433 @ (setadjoin @ X1432 @ (setadjoin @ X1433 @ emptyset))))=>(![X846:$i, X847:$i > $o]:((?[X848:$i]:(((in @ X848 @ X846)&(X847 @ X848)))=>(((dsetconstr @ X846 @ X847)=(emptyset))=>~($true))))=>(![X849:$i > $o, X850:$i]:(((in @ X850 @ emptyset)=>(X849 @ X850)))=>(![X851:$i, X852:$i > $o]:((~(![X853:$i]:(((in @ X853 @ X851)=>(X852 @ X853))))=>?[X854:$i]:(((in @ X854 @ X851)&~((X852 @ X854))))))=>(![X855:$i, X856:$i > $o]:((![X857:$i]:(((in @ X857 @ X855)=>~((X856 @ X857))))=>~(?[X858:$i]:(((in @ X858 @ X855)&(X856 @ X858))))))=>(![X1428:$i, X1429:$i > $o]:((~(?[X1430:$i]:(((in @ X1430 @ X1428)&(X1429 @ X1430))))=>![X1431:$i]:(((in @ X1431 @ X1428)=>~((X1429 @ X1431))))))=>(![X859:$i, X860:$i > $o]:((?[X861:$i]:(((in @ X861 @ X859)&~((X860 @ X861))))=>~(![X862:$i]:(((in @ X862 @ X859)=>(X860 @ X862))))))=>(![X863:$o]:(((X863)=>(in @ emptyset @ (prop2set @ ((X863))))))=>((prop2set2propI)=>(![X1424:$i, X1425:$i > $o]:((~(?[X1426:$i]:(((in @ X1426 @ X1424)&(X1425 @ X1426))))=>![X1427:$i]:(((in @ X1427 @ X1424)=>~((X1425 @ X1427))))))=>(![X864:$i, X865:$i > $o]:((~(![X866:$i]:(((in @ X866 @ X864)=>(X865 @ X866))))=>?[X867:$i]:(((in @ X867 @ X864)&~((X865 @ X867))))))=>(![X868:$i > $o]:((?[X869:$i]:(((X868 @ X869)&![X870:$i]:(((X868 @ X870)=>((X869)=(X870))))))=>?[X871:$i]:(((X868 @ X871)&![X872:$i]:(((X868 @ X872)=>((X871)=(X872))))))))=>(![X873:$i > $o]:((?[X874:$i]:((X873 @ X874))=>(![X875:$i, X876:$i]:(((X873 @ X875)=>((X873 @ X876)=>((X875)=(X876)))))=>?[X877:$i]:(((X873 @ X877)&![X878:$i]:(((X873 @ X878)=>((X877)=(X878)))))))))=>(![X879:$i > $o]:((?[X880:$i]:(![X881:$i]:(((X879 @ X881)<=>((X881)=(X880)))))=>?[X882:$i]:(((X879 @ X882)&![X883:$i]:(((X879 @ X883)=>((X882)=(X883))))))))=>(![X1420:$i, X1421:$i]:((((X1420)=(X1421))=>![X1422:$i, X1423:$i]:((((X1422)=(X1423))=>((in @ X1422 @ X1420)=>(in @ X1423 @ X1421))))))=>(![X1416:$i, X1417:$i]:((((X1416)=(X1417))=>![X1418:$i, X1419:$i]:((((X1418)=(X1419))=>((in @ X1418 @ X1416)<=>(in @ X1419 @ X1417))))))=>(![X884:$i > $o]:((?[X885:$i]:(((X884 @ X885)&![X886:$i]:(((X884 @ X886)=>((X885)=(X886))))))=>![X887:$i, X888:$i]:(((X884 @ X887)=>((X884 @ X888)=>((X887)=(X888)))))))=>(![X1408:$i > $o, X1409:$i > $o]:((![X1410:$i, X1411:$i]:((((X1410)=(X1411))=>((X1408 @ X1410)<=>(X1409 @ X1411))))=>(?[X1412:$i]:(((X1408 @ X1412)&![X1413:$i]:(((X1408 @ X1413)=>((X1412)=(X1413))))))<=>?[X1414:$i]:(((X1409 @ X1414)&![X1415:$i]:(((X1409 @ X1415)=>((X1414)=(X1415)))))))))=>(((emptyset)=(emptyset))=>(![X1404:$i, X1405:$i]:((((X1404)=(X1405))=>![X1406:$i, X1407:$i]:((((X1406)=(X1407))=>((setadjoin @ X1404 @ X1406)=(setadjoin @ X1405 @ X1407))))))=>(![X889:$i, X890:$i]:((((X889)=(X890))=>((powerset @ X889)=(powerset @ X890))))=>(![X1402:$i, X1403:$i]:((((X1402)=(X1403))=>((setunion @ X1402)=(setunion @ X1403))))=>(((omega)=(omega))=>(![X891:$i > $o]:((?[X892:$i]:(((X891 @ X892)&![X893:$i]:(((X891 @ X893)=>((X892)=(X893))))))=>![X894:$i, X895:$i]:(((X891 @ X894)=>((X891 @ X895)=>((X894)=(X895)))))))=>(![X896:$i > $o, X897:$i > $o]:((![X898:$i, X899:$i]:((((X898)=(X899))=>((X896 @ X898)<=>(X897 @ X899))))=>(?[X900:$i]:(((X896 @ X900)&![X901:$i]:(((X896 @ X901)=>((X900)=(X901))))))=>(?[X902:$i]:(((X897 @ X902)&![X903:$i]:(((X897 @ X903)=>((X902)=(X903))))))=>((descr @ X896)=(descr @ X897))))))=>(![X1396:$i, X1397:$i]:((((X1396)=(X1397))=>![X1398:$i > $o, X1399:$i > $o]:((![X1400:$i]:(((in @ X1400 @ X1396)=>![X1401:$i]:(((in @ X1401 @ X1397)=>(((X1400)=(X1401))=>((X1398 @ X1400)<=>(X1399 @ X1401)))))))=>((dsetconstr @ X1396 @ X1398)=(dsetconstr @ X1397 @ X1399))))))=>(![X1393:$i, X1394:$i]:((![X1395:$i]:(((in @ X1395 @ X1393)=>(in @ X1395 @ X1394)))=>(subset @ X1393 @ X1394)))=>(![X1391:$i, X1392:$i]:((((X1391)=(X1392))=>(subset @ X1392 @ X1391)))=>(![X904:$i, X905:$i]:((((X904)=(X905))=>(subset @ X904 @ X905)))=>(![X1388:$i, X1389:$i]:((![X1390:$i]:(((in @ X1390 @ X1388)=>(in @ X1390 @ X1389)))=>(subset @ X1388 @ X1389)))=>(![X1387:$i]:((subset @ emptyset @ X1387))=>(![X1384:$i, X1385:$i, X1386:$i]:(((subset @ X1384 @ X1385)=>((in @ X1386 @ X1384)=>(in @ X1386 @ X1385))))=>(![X906:$i, X907:$i, X908:$i]:(((subset @ X906 @ X907)=>(~(in @ X908 @ X907)=>~(in @ X908 @ X906))))=>(![X909:$i, X910:$i, X911:$i]:(((in @ X911 @ X909)=>(~(in @ X911 @ X910)=>~(subset @ X909 @ X910))))=>(![X1382:$i, X1383:$i]:((~(subset @ X1382 @ X1383)=>((X1382)!=(X1383))))=>(![X1379:$i, X1380:$i, X1381:$i]:(((in @ X1381 @ X1379)=>(~(in @ X1381 @ X1380)=>((X1379)!=(X1380)))))=>(![X912:$i]:((subset @ X912 @ X912))=>(![X1376:$i, X1377:$i, X1378:$i]:(((subset @ X1376 @ X1377)=>((subset @ X1377 @ X1378)=>(subset @ X1376 @ X1378))))=>(![X913:$i, X914:$i]:((subset @ X914 @ (setadjoin @ X913 @ X914)))=>(![X1373:$i, X1374:$i, X1375:$i]:(((subset @ X1373 @ X1375)=>(subset @ X1373 @ (setadjoin @ X1374 @ X1375))))=>(![X915:$i, X916:$i]:(((subset @ X915 @ X916)=>(in @ X915 @ (powerset @ X916))))=>(![X917:$i, X918:$i]:(((subset @ X917 @ X918)=>((subset @ X918 @ X917)=>((X917)=(X918)))))=>(![X919:$i]:(((subset @ X919 @ emptyset)=>((X919)=(emptyset))))=>(![X1371:$i, X1372:$i]:(((subset @ X1372 @ X1371)=>(in @ X1372 @ (powerset @ X1371))))=>(![X920:$i, X921:$i]:(((in @ X921 @ (powerset @ X920))=>(subset @ X921 @ X920)))=>(![X922:$i]:((in @ X922 @ (powerset @ X922)))=>(![X1369:$i, X1370:$i]:(((subset @ X1369 @ X1370)=>(subset @ (powerset @ X1369) @ (powerset @ X1370))))=>(![X1367:$i, X1368:$i > $o]:((in @ (dsetconstr @ X1367 @ X1368) @ (powerset @ X1367)))=>(![X1365:$i, X1366:$i > $o]:((subset @ (dsetconstr @ X1365 @ X1366) @ X1365))=>(![X923:$i, X924:$i, X925:$i]:(((in @ X925 @ X923)=>(in @ X925 @ (binunion @ X923 @ X924))))=>(![X926:$i, X927:$i]:((in @ X927 @ (setadjoin @ X926 @ (setadjoin @ X927 @ emptyset))))=>(![X928:$i, X929:$i, X930:$i]:(((in @ X930 @ X929)=>(in @ X930 @ (binunion @ X928 @ X929))))=>(![X1361:$i, X1362:$i, X1363:$i, X1364:$o]:(((in @ X1363 @ (binunion @ X1361 @ X1362))=>(((in @ X1363 @ X1361)=>(X1364))=>(((in @ X1363 @ X1362)=>(X1364))=>(X1364)))))=>(![X931:$i, X932:$i, X933:$i]:(((in @ X933 @ (binunion @ X931 @ X932))=>((in @ X933 @ X931)|(in @ X933 @ X932))))=>(![X1359:$i, X1360:$i]:((subset @ X1359 @ (binunion @ X1359 @ X1360)))=>(![X1357:$i, X1358:$i]:((subset @ X1358 @ (binunion @ X1357 @ X1358)))=>(![X934:$i, X935:$i, X936:$i]:(((in @ X936 @ X934)=>((in @ X936 @ X935)=>(in @ X936 @ (binintersect @ X934 @ X935)))))=>(![X1354:$i, X1355:$i, X1356:$i]:(((subset @ X1356 @ X1354)=>((subset @ X1356 @ X1355)=>(subset @ X1356 @ (binintersect @ X1354 @ X1355)))))=>(![X1351:$i, X1352:$i, X1353:$i]:(((in @ X1353 @ (binintersect @ X1351 @ X1352))=>(in @ X1353 @ X1351)))=>(![X1349:$i, X1350:$i]:((subset @ (binintersect @ X1349 @ X1350) @ X1349))=>(![X1347:$i, X1348:$i]:(((subset @ X1347 @ X1348)=>((binintersect @ X1347 @ X1348)=(X1347))))=>(![X1345:$i, X1346:$i]:((((binintersect @ X1345 @ X1346)=(X1346))=>(subset @ X1346 @ X1345)))=>(![X937:$i, X938:$i, X939:$i]:(((in @ X939 @ (binintersect @ X937 @ X938))=>(in @ X939 @ X938)))=>(![X1342:$i, X1343:$i]:((~(?[X1344:$i]:(((in @ X1344 @ X1342)&(in @ X1344 @ X1343))))=>((binintersect @ X1342 @ X1343)=(emptyset))))=>(![X940:$i, X941:$i]:((subset @ (binintersect @ X940 @ X941) @ X941))=>(![X942:$i, X943:$i]:(((subset @ X943 @ X942)=>((binintersect @ X942 @ X943)=(X943))))=>(![X1340:$i, X1341:$i]:((((binintersect @ X1340 @ X1341)=(X1340))=>(subset @ X1340 @ X1341)))=>(![X1337:$i, X1338:$i, X1339:$i]:(((binintersect @ X1337 @ (binunion @ X1338 @ X1339))=(binunion @ (binintersect @ X1337 @ X1338) @ (binintersect @ X1337 @ X1339))))=>(![X1334:$i, X1335:$i, X1336:$i]:(((in @ X1336 @ X1334)=>(~(in @ X1336 @ X1335)=>(in @ X1336 @ (setminus @ X1334 @ X1335)))))=>(![X944:$i, X945:$i, X946:$i]:(((in @ X946 @ (setminus @ X944 @ X945))=>(in @ X946 @ X944)))=>(![X947:$i, 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X1144:$i > $i]:((![X1145:$i]:(((in @ X1145 @ X1142)=>(in @ (X1144 @ X1145) @ X1143)))=>((lam @ X1142 @ X1143 @ X1144)=(lam @ X1142 @ X1143 @ X1144))))=>(![X1088:$i, X1089:$i, X1090:$i > $i]:((![X1091:$i]:(((in @ X1091 @ X1088)=>(in @ (X1090 @ X1091) @ X1089)))=>![X1092:$i]:(((in @ X1092 @ X1088)=>((ap @ X1088 @ X1089 @ (lam @ X1088 @ X1089 @ X1090) @ X1092)=(X1090 @ X1092))))))=>(![X1093:$i, X1094:$i, X1095:$i]:(((in @ X1095 @ (funcSet @ X1093 @ X1094))=>((lam @ X1093 @ X1094 @ (ap @ X1093 @ X1094 @ X1095))=(X1095))))=>(![X1138:$i, X1139:$o, X1140:$i]:(((in @ X1140 @ X1138)=>![X1141:$i]:(((in @ X1141 @ X1138)=>(~(X1139)=>(in @ X1141 @ (dsetconstr @ X1138 @ (^[Z0/* 9 */:$i]:((((X1139)&((Z0)=(X1140)))|(~((X1139))&((Z0)=(X1141)))))))))))))=>(![X1134:$i, X1135:$o, X1136:$i]:(((in @ X1136 @ X1134)=>![X1137:$i]:(((in @ X1137 @ X1134)=>(~(X1135)=>((dsetconstr @ X1134 @ (^[Z0/* 9 */:$i]:((((X1135)&((Z0)=(X1136)))|(~((X1135))&((Z0)=(X1137)))))))=(setadjoin @ X1137 @ emptyset)))))))=>(![X1130:$i, X1131:$o, X1132:$i]:(((in @ X1132 @ X1130)=>![X1133:$i]:(((in @ X1133 @ X1130)=>((X1131)=>(in @ X1132 @ (dsetconstr @ X1130 @ (^[Z0/* 9 */:$i]:((((X1131)&((Z0)=(X1132)))|(~((X1131))&((Z0)=(X1133)))))))))))))=>(![X1096:$i, X1097:$o, X1098:$i]:(((in @ X1098 @ X1096)=>![X1099:$i]:(((in @ X1099 @ X1096)=>((X1097)=>((dsetconstr @ X1096 @ (^[Z0/* 9 */:$i]:((((X1097)&((Z0)=(X1098)))|(~((X1097))&((Z0)=(X1099)))))))=(setadjoin @ X1098 @ emptyset)))))))=>(![X1100:$i, X1101:$o, X1102:$i]:(((in @ X1102 @ X1100)=>![X1103:$i]:(((in @ X1103 @ X1100)=>(singleton @ (dsetconstr @ X1100 @ (^[Z0/* 9 */:$i]:((((X1101)&((Z0)=(X1102)))|(~((X1101))&((Z0)=(X1103))))))))))))=>(![X1104:$i, X1105:$o, X1106:$i]:(((in @ X1106 @ X1104)=>![X1107:$i]:(((in @ X1107 @ X1104)=>(in @ (if @ X1104 @ ((X1105)) @ X1106 @ X1107) @ X1104)))))=>(![X1128:$i]:(((singleton @ X1128)=>![X1129:$i]:(((in @ X1129 @ X1128)=>((setunion @ X1128)=(X1129))))))=>(![X1124:$i, X1125:$o, X1126:$i]:(((in @ X1126 @ X1124)=>![X1127:$i]:(((in @ X1127 @ X1124)=>((X1125)=>((if @ X1124 @ ((X1125)) @ X1126 @ X1127)=(X1126)))))))=>(![X1108:$i, X1109:$o, X1110:$i]:(((in @ X1110 @ X1108)=>![X1111:$i]:(((in @ X1111 @ X1108)=>(~(X1109)=>((if @ X1108 @ ((X1109)) @ X1110 @ X1111)=(X1111)))))))=>(![X1112:$i, X1113:$o, X1114:$i]:(((in @ X1114 @ X1112)=>![X1115:$i]:(((in @ X1115 @ X1112)=>(in @ (if @ X1112 @ ((X1113)) @ X1114 @ X1115) @ (setadjoin @ X1114 @ (setadjoin @ X1115 @ emptyset)))))))=>(![X1116:$i, X1117:$i]:(((in @ X1117 @ (powerset @ X1116))=>![X1118:$i]:(((in @ X1118 @ (powerset @ X1116))=>(in @ (binintersect @ X1117 @ X1118) @ (powerset @ X1116))))))=>(![X1119:$i, X1120:$i]:(((in @ X1120 @ (powerset @ X1119))=>![X1121:$i]:(((in @ X1121 @ (powerset @ X1119))=>(in @ (binunion @ X1120 @ X1121) @ (powerset @ X1119))))))=>(![X1122:$i, X1123:$i]:(((in @ X1123 @ (powerset @ X1122))=>(in @ (powerset @ X1123) @ (powerset @ (powerset @ X1122)))))=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[setminusT_lem]), binintersectI]), powersetI]), setextAx]), emptysetsubset]), binunionE]), subsetI2]), eqimpsubset2]), subsetI1]), binintersectSubset4]), c_0_255]), omega__Cong]), setminusEL]), setunion__Cong]), setadjoin__Cong]), c_0_256]), setminusER]), in__Cong]), inCongP]), setminusELneg]), notdexE]), quantDeMorgan3]), upairsetIR]), upairsetIL]), setminusLsub]), notinsingleton]), uniqinunit]), symdiffIneg1]), c_0_257]), setunionI]), powersetE]), secondinupair]), c_0_258]), setadjoinE]), singletonsubset]), c_0_259]), c_0_260]), c_0_261]), singletoninpowerset]), setext]), notinemptyset]), upairset2E]), emptysetimpfalse]), prop2setE]), c_0_262]), upairinpowunion]), c_0_263]), wellorderingAx]), ubforcartprodlem2]), c_0_264]), omegaSAx]), omega0Ax]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_265]), c_0_266]), c_0_267]), singletonsuniq]), c_0_268]), theprop]), binunionT_lem]), powersetT_lem]), kfstpairEq]), setukpairinjL]), setukpairinjR1]), upairequniteq]), c_0_269]), ksndpairEq]), cartprodsndin]), cartprodpairsurjEq]), binintersectER]), c_0_270]), c_0_271]), binintersectRsub]), c_0_272]), c_0_273]), ap2p]), funcinfuncset]), c_0_274]), c_0_275]), c_0_276]), funcGraphProp3]), funcGraphProp2]), c_0_277]), funcext]), funcext2]), ap2apEq2]), c_0_278]), c_0_279]), c_0_280]), c_0_281]), ifp]), iffalse]), iftrueorfalse]), binintersectT_lem]), iftrue]), theeq]), c_0_282]), c_0_283]), c_0_284]), c_0_285]), c_0_286]), c_0_287]), ap2apEq1]), c_0_288]), funcGraphProp4]), funcextLem]), funcGraphProp1]), c_0_289]), c_0_290]), c_0_291]), infuncsetfunc]), app]), c_0_292]), c_0_293]), c_0_294]), c_0_295]), c_0_296]), cartprodsndpairEq]), cartprodfstpairEq]), cartprodmempaircEq]), cartprodpairmemER]), cartprodpairmemEL]), kpairsurjEq]), setukpairinjR]), setukpairinjR2]), setukpairinjR12]), setukpairinjR11]), setukpairinjL2]), cartprodfstin]), setukpairinjL1]), c_0_297]), cartprodmempair]), cartprodmempair1]), cartprodpairin]), ubforcartprodlem3]), ubforcartprodlem1]), upairsubunion]), singletoninpowunion]), kpairp]), kpairiskpair]), setukpairIR]), setukpairIL]), symdiffIneg2]), symdiffI2]), symdiffI1]), symdiffE]), setminusSubset1]), setminusIRneg]), setminusILneg]), setminusERneg]), setminusSubset2]), setminusI]), bs114d]), binintersectSubset1]), disjointsetsI1]), binintersectSubset3]), binintersectSubset2]), binintersectLsub]), binintersectEL]), binintersectSubset5]), binunionRsub]), binunionLsub]), binunionEcases]), c_0_298]), c_0_299]), powersetsubset]), powersetI1]), setadjoinSub2]), subsetTrans]), notequalI2]), notequalI1]), subsetE]), binunionIR]), upairset2IR]), binunionIL]), inPowerset]), powersetE1]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub]), subsetRefl]), notsubsetI]), subsetE2]), eqimpsubset1]), c_0_300]), c_0_301]), powerset__Cong]), emptyset__Cong]), c_0_302]), c_0_303]), c_0_304]), c_0_305]), notdallE]), prop2setI]), quantDeMorgan4]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), c_0_306]), upairsetE]), singletonsswitch]), eqinunit]), c_0_307]), subPowSU]), setunionE]), emptyInPowerset]), emptyinPowerset]), setadjoinOr]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), c_0_308]), noeltsimpempty]), emptyI]), c_0_309]), emptysetE]), c_0_310]), c_0_311]), c_0_312]), foundationAx]), omegaIndAx]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx])])]), c_0_313])).
11.57/1.99	thf(c_0_315, negated_conjecture, ![X1514:$i, X1515:$i, X1517:$i, X1518:$i, X1519:$i, X1520:$i, X1521:$i, X1522:$i, X1523:$i, X1524:$i, X1525:$i, X1527:$i, X1528:$i, X1530:$i, X1531:$i, X1532:$i, X1533:$i, X1534:$i, X1536:$i, X1537:$i > $i > $o, X1538:$i, X1540:$i, X1543:$i, X1545:$i, X1546:$i, X1547:$i, X1548:$i, X1550:$i, X1551:$i > $o, X1552:$i, X1554:$i, X1555:$i > $o, X1556:$i, X1557:$i, X1558:$i > $o, X1559:$i, X1560:$i, X1561:$i > $o, X1562:$i, X1563:$i > $o, X1564:$i, X1567:$i, X1568:$o, X1569:$i, X1570:$i, X1571:$o, X1572:$i, X1573:$i, X1574:$i > $o, X1575:$i, X1578:$i, X1579:$i, X1582:$i, X1584:$i, X1586:$i, X1587:$i > $o, X1588:$i, X1589:$i, X1591:$i, X1592:$i > $o, X1593:$i, X1594:$i, X1595:$i, X1596:$i, X1597:$i, X1598:$i, X1599:$i, X1600:$i, X1601:$i, X1602:$i, X1603:$i, X1604:$o, X1605:$i, X1606:$i, X1607:$i, X1608:$i, X1609:$i, X1610:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$i, X1616:$i, X1617:$i, X1618:$i, X1619:$i, X1620:$i, X1621:$i, X1622:$o, X1624:$i, X1625:$i, X1626:$i > $o, X1627:$i, X1630:$i, X1631:$i, X1632:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1638:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$i, X1644:$i, X1645:$i, X1646:$i, X1647:$i, X1648:$i, X1649:$i, X1650:$i > $o, X1651:$i, X1652:$i > $o, X1653:$i, X1654:$i, X1655:$i > $o, X1656:$i, X1658:$i, X1659:$i > $o, X1661:$i, X1662:$i, X1663:$i > $o, X1665:$i, X1666:$i, X1667:$i > $o, X1668:$i, X1670:$o, X1671:$i, X1672:$i > $o, X1674:$i, X1675:$i, X1676:$i > $o, X1677:$i, X1679:$i > $o, X1680:$i, X1683:$i, X1684:$i > $o, X1685:$i, X1689:$i, X1690:$i > $o, X1691:$i, X1694:$i, X1695:$i, X1696:$i, X1697:$i, X1698:$i, X1699:$i, X1700:$i, X1701:$i, X1702:$i, X1703:$i > $o, X1704:$i, X1706:$i, X1707:$i, X1708:$i > $o, X1709:$i > $o, X1712:$i, X1715:$i, X1716:$i, X1719:$i, X1720:$i, X1721:$i, X1722:$i, X1723:$i, X1724:$i, X1725:$i, X1726:$i, X1727:$i, X1728:$i > $o, X1729:$i, X1731:$i, X1732:$i, X1733:$i > $o, X1734:$i > $o, X1737:$i, X1739:$i, X1741:$i, X1742:$i, X1743:$i > $o, X1744:$i > $o, X1747:$i, X1748:$i, X1750:$i, X1751:$i, X1752:$i, X1753:$i, X1754:$i, X1755:$i, X1757:$i, X1758:$i, X1759:$i, X1760:$i, X1761:$i, X1762:$i, X1763:$i, X1764:$i, X1765:$i, X1766:$i, X1767:$i, X1768:$i, X1769:$i, X1770:$i, X1771:$i, X1772:$i, X1773:$i, X1774:$i, X1775:$i, X1776:$i, X1777:$i, X1778:$i, X1779:$i, X1780:$i, X1781:$i, X1782:$i, X1783:$i, X1784:$i, X1785:$i, X1786:$i, X1787:$i, X1788:$i, X1789:$i, X1790:$i, X1791:$i, X1792:$i, X1793:$i, X1794:$i > $o, X1795:$i, X1796:$i > $o, X1797:$i, X1798:$i, X1799:$i, X1800:$i, X1801:$i, X1802:$i, X1803:$i, X1804:$i, X1805:$i, X1806:$i, X1807:$i, X1808:$o, X1809:$i, X1810:$i, X1811:$i, X1812:$i, X1813:$i, X1814:$i, X1815:$i, X1816:$i, X1817:$i, X1818:$i, X1819:$i, X1820:$i, X1821:$i, X1822:$i, X1823:$i, X1824:$i, X1825:$i, X1826:$i, X1827:$i, X1828:$i, X1829:$i, X1830:$i, X1831:$i, X1832:$i, X1833:$i, X1834:$i, X1835:$i, X1837:$i, X1838:$i, X1839:$i, X1840:$i, X1841:$i, X1842:$i, X1843:$i, X1844:$i, X1845:$i, X1846:$i, X1847:$i, X1848:$i, X1849:$i, X1850:$i, X1851:$i, X1852:$i, X1853:$i, X1854:$i, X1855:$i, X1856:$i, X1857:$i, X1858:$i, X1859:$i, X1860:$i, X1861:$i, X1862:$i, X1863:$i, X1864:$i, X1865:$i, X1866:$i, X1867:$i, X1868:$i, X1869:$i, X1870:$i, X1871:$i, X1872:$i, X1873:$i, X1874:$i, X1875:$i, X1876:$o, X1877:$i, X1878:$i, X1879:$i, X1880:$i, X1881:$i, X1882:$i, X1883:$i, X1884:$i, X1885:$i, X1886:$i, X1887:$i, X1888:$i, X1889:$i, X1890:$i, X1891:$i, X1892:$i, X1893:$i, X1894:$i, X1895:$i, X1896:$i, X1897:$i, X1898:$i, X1899:$i, X1900:$i, X1901:$i, X1902:$i, X1903:$i, X1904:$i, X1905:$i, X1906:$i, X1907:$i, X1908:$i, X1909:$i, X1910:$i, X1911:$i, X1912:$i, X1913:$i, X1914:$i, X1915:$i, X1916:$i, X1917:$i, X1918:$i, X1919:$i, X1920:$i, X1921:$i, X1922:$i, X1923:$i, X1924:$i, X1925:$i, X1926:$i, X1927:$i, X1928:$i, X1929:$i, X1930:$i, X1931:$i, X1932:$i, X1933:$i, X1934:$i, X1935:$i, X1938:$i, X1939:$i, X1940:$i, X1941:$i, X1942:$i, X1944:$i, X1945:$i, X1946:$i, X1947:$i, X1948:$i > $o, X1951:$i, X1952:$i, X1953:$i > $o, X1955:$i, X1956:$i > $o, X1957:$i, X1959:$i, X1960:$i > $o, X1963:$i, X1964:$i, X1965:$i, X1966:$i, X1967:$i, X1968:$i, X1969:$i, X1970:$i, X1971:$i, X1972:$i, X1973:$i, X1974:$i, X1975:$i, X1976:$i, X1977:$i, X1978:$i, X1979:$i, X1980:$i, X1981:$i, X1982:$i, X1983:$i, X1984:$i, X1985:$i, X1986:$i, X1987:$i, X1988:$i, X1989:$i, X1990:$i, X1991:$i, X1992:$i, X1993:$i, X1994:$i, X1995:$i, X1996:$i, X1997:$i, X1998:$i, X1999:$i, X2000:$i, X2001:$i, X2002:$i, X2003:$i, X2004:$i, X2005:$i, X2006:$i, X2007:$i, X2008:$i, X2009:$i, X2010:$i, X2011:$i, X2012:$i, X2013:$i, X2014:$i, X2015:$i, X2016:$i, X2017:$i, X2018:$i, X2019:$i, X2020:$i, X2021:$i, X2022:$i, X2023:$i, X2024:$i, X2025:$i, X2026:$i, X2027:$i, X2028:$i, X2029:$i, X2030:$i, X2031:$i, X2032:$i, X2033:$i, X2034:$i, X2035:$i > $i > $o, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2040:$i > $i > $o, X2041:$i, X2042:$i, X2043:$i > $i > $o, X2044:$i, X2045:$i, X2046:$i > $i > $o, X2047:$i, X2048:$i, X2049:$i, X2050:$i, X2051:$i > $i > $o, X2052:$i, X2053:$i, X2054:$i, X2055:$i, X2056:$i > $i > $o, X2057:$i, X2058:$i, X2059:$i, X2060:$i, X2061:$i > $i > $o, X2062:$i, X2063:$i, X2064:$i, X2065:$i, X2066:$i, X2067:$i, X2068:$i, X2069:$i, X2070:$i, X2071:$i, X2072:$i, X2073:$i, X2074:$i, X2075:$i, X2076:$i, X2077:$i, X2078:$i, X2079:$i, X2080:$i, X2081:$i, X2082:$i, X2083:$i, X2084:$i, X2085:$i, X2086:$i, X2087:$i, X2088:$i > $i, X2090:$i, X2091:$i, X2092:$i > $i, X2094:$i, X2095:$i, X2096:$i > $i, X2098:$i, X2099:$i, X2100:$i, X2101:$i > $o, X2104:$i, X2105:$i, X2106:$i, X2107:$i, X2108:$i > $o, X2111:$i, X2112:$i, X2113:$i > $o, X2114:$i, X2115:$i, X2116:$i, X2117:$i, X2118:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i, X2127:$i, X2128:$i, X2129:$i, X2130:$i, X2131:$i, X2132:$i, X2134:$i, X2135:$i, X2136:$i, X2137:$i, X2138:$i, X2139:$i, X2140:$i, X2141:$i, X2142:$i, X2143:$i, X2144:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i, X2155:$i, X2156:$i, X2157:$i, X2158:$i, X2160:$i, X2161:$i, X2162:$i, X2163:$i, X2165:$i, X2166:$i, X2167:$i, X2168:$i, X2169:$i, X2170:$i, X2171:$i, X2172:$i, X2173:$i, X2174:$i, X2175:$i > $i, X2177:$i, X2178:$i, X2179:$i, X2180:$i, X2181:$i, X2182:$i, X2183:$i > $i, X2185:$i, X2186:$i, X2187:$i > $i, X2189:$i, X2190:$i, X2191:$i, X2192:$i, X2193:$i, X2194:$o, X2195:$i, X2196:$i, X2197:$i, X2198:$o, X2199:$i, X2200:$i, X2201:$i, X2202:$o, X2203:$i, X2204:$i, X2205:$i, X2206:$o, X2207:$i, X2208:$i, X2209:$i, X2210:$o, X2211:$i, X2212:$i, X2213:$i, X2214:$o, X2215:$i, X2216:$i, X2217:$i, X2218:$i, X2219:$i, X2220:$o, X2221:$i, X2222:$i, X2223:$i, X2224:$o, X2225:$i, X2226:$i, X2227:$i, X2228:$o, X2229:$i, X2230:$i, X2231:$i, X2232:$i, X2233:$i, X2234:$i, X2235:$i, X2236:$i, X2237:$i, X2238:$i]:((((~(in @ (esk1_2 @ X1514 @ X1515) @ X1514)|~(in @ (esk1_2 @ X1514 @ X1515) @ X1515)|((X1514)=(X1515)))&((in @ (esk1_2 @ X1514 @ X1515) @ X1514)|(in @ (esk1_2 @ X1514 @ X1515) @ X1515)|((X1514)=(X1515))))&(~(in @ X1517 @ emptyset)&(((~(in @ X1520 @ (setadjoin @ X1518 @ X1519))|(((X1520)=(X1518))|(in @ X1520 @ X1519)))&((((X1520)!=(X1518))|(in @ X1520 @ (setadjoin @ X1518 @ X1519)))&(~(in @ X1520 @ X1519)|(in @ X1520 @ (setadjoin @ X1518 @ X1519)))))&(((~(in @ X1522 @ (powerset @ X1521))|(~(in @ X1523 @ X1522)|(in @ X1523 @ X1521)))&(((in @ (esk2_2 @ X1524 @ X1525) @ X1525)|(in @ X1525 @ (powerset @ X1524)))&(~(in @ (esk2_2 @ X1524 @ X1525) @ X1524)|(in @ X1525 @ (powerset @ X1524)))))&(((((in @ X1528 @ (esk3_2 @ X1527 @ X1528))|~(in @ X1528 @ (setunion @ X1527)))&((in @ (esk3_2 @ X1527 @ X1528) @ X1527)|~(in @ X1528 @ (setunion @ X1527))))&(~(in @ X1531 @ X1532)|~(in @ X1532 @ X1530)|(in @ X1531 @ (setunion @ X1530))))&((in @ emptyset @ omega)&((~(in @ X1533 @ omega)|(in @ (setadjoin @ X1533 @ X1533) @ omega))&(((((in @ (esk4_1 @ X1534) @ omega)|~(in @ emptyset @ X1534)|(~(in @ X1536 @ omega)|(in @ X1536 @ X1534)))&((in @ (esk4_1 @ X1534) @ X1534)|~(in @ emptyset @ X1534)|(~(in @ X1536 @ omega)|(in @ X1536 @ X1534))))&(~(in @ (setadjoin @ (esk4_1 @ X1534) @ (esk4_1 @ X1534)) @ X1534)|~(in @ emptyset @ X1534)|(~(in @ X1536 @ omega)|(in @ X1536 @ X1534))))&((((((in @ (esk8_3 @ X1537 @ X1538 @ X1543) @ X1538)|~(in @ X1543 @ (esk7_2 @ X1537 @ X1538))|(in @ (esk5_2 @ X1537 @ X1538) @ X1538))&((X1537 @ (esk8_3 @ X1537 @ X1538 @ X1543) @ X1543)|~(in @ X1543 @ (esk7_2 @ X1537 @ X1538))|(in @ (esk5_2 @ X1537 @ X1538) @ X1538)))&(~(in @ X1546 @ X1538)|~(X1537 @ X1546 @ X1545)|(in @ X1545 @ (esk7_2 @ X1537 @ X1538))|(in @ (esk5_2 @ X1537 @ X1538) @ X1538)))&(((((in @ (esk8_3 @ X1537 @ X1538 @ X1543) @ X1538)|~(in @ X1543 @ (esk7_2 @ X1537 @ X1538))|((X1537 @ (esk5_2 @ X1537 @ X1538) @ (esk6_3 @ X1537 @ X1538 @ X1540))|~(X1537 @ (esk5_2 @ X1537 @ X1538) @ X1540)))&((X1537 @ (esk8_3 @ X1537 @ X1538 @ X1543) @ X1543)|~(in @ X1543 @ (esk7_2 @ X1537 @ X1538))|((X1537 @ (esk5_2 @ X1537 @ X1538) @ (esk6_3 @ X1537 @ X1538 @ X1540))|~(X1537 @ (esk5_2 @ X1537 @ X1538) @ X1540))))&(~(in @ X1546 @ X1538)|~(X1537 @ X1546 @ X1545)|(in @ X1545 @ (esk7_2 @ X1537 @ X1538))|((X1537 @ (esk5_2 @ X1537 @ X1538) @ (esk6_3 @ X1537 @ X1538 @ X1540))|~(X1537 @ (esk5_2 @ X1537 @ X1538) @ X1540))))&((((in @ (esk8_3 @ X1537 @ X1538 @ X1543) @ X1538)|~(in @ X1543 @ (esk7_2 @ X1537 @ X1538))|(((X1540)!=(esk6_3 @ X1537 @ X1538 @ X1540))|~(X1537 @ (esk5_2 @ X1537 @ X1538) @ X1540)))&((X1537 @ (esk8_3 @ X1537 @ X1538 @ X1543) @ X1543)|~(in @ X1543 @ (esk7_2 @ X1537 @ X1538))|(((X1540)!=(esk6_3 @ X1537 @ X1538 @ X1540))|~(X1537 @ (esk5_2 @ X1537 @ X1538) @ X1540))))&(~(in @ X1546 @ X1538)|~(X1537 @ X1546 @ X1545)|(in @ X1545 @ (esk7_2 @ X1537 @ X1538))|(((X1540)!=(esk6_3 @ X1537 @ X1538 @ X1540))|~(X1537 @ (esk5_2 @ X1537 @ X1538) @ X1540))))))&((((in @ (esk9_1 @ X1547) @ X1547)|~(in @ X1548 @ X1547))&(~(in @ X1550 @ (esk9_1 @ X1547))|~(in @ X1550 @ X1547)|~(in @ X1548 @ X1547)))&((epred1_0)&((((X1551 @ (esk10_2 @ X1551 @ X1552))|~(X1551 @ X1552)|(X1551 @ (descr @ X1551)))&(((X1552)!=(esk10_2 @ X1551 @ X1552))|~(X1551 @ X1552)|(X1551 @ (descr @ X1551))))&((~(in @ X1556 @ X1554)|(~(X1555 @ X1556)|(in @ X1556 @ (dsetconstr @ X1554 @ X1555))))&((~(in @ X1559 @ (dsetconstr @ X1557 @ X1558))|(in @ X1559 @ X1557))&((~(in @ X1562 @ (dsetconstr @ X1560 @ X1561))|(X1561 @ X1562))&(((((X1563 @ (esk12_1 @ X1563))|((X1563 @ (esk11_2 @ X1563 @ X1564))|~(X1563 @ X1564)))&(~(X1563 @ X1567)|((esk12_1 @ X1563)=(X1567))|((X1563 @ (esk11_2 @ X1563 @ X1564))|~(X1563 @ X1564))))&(((X1563 @ (esk12_1 @ X1563))|(((X1564)!=(esk11_2 @ X1563 @ X1564))|~(X1563 @ X1564)))&(~(X1563 @ X1567)|((esk12_1 @ X1563)=(X1567))|(((X1564)!=(esk11_2 @ X1563 @ X1564))|~(X1563 @ X1564)))))&((~(in @ X1569 @ (prop2set @ ((X1568))))|(X1568))&((~(in @ X1570 @ emptyset)|(X1571))&((~(in @ X1572 @ emptyset)|~($true))&(~(in @ X1573 @ emptyset)&((((X1574 @ (esk13_2 @ X1574 @ X1575))|~(X1574 @ X1575)|(X1574 @ (esk14_1 @ X1574)))&(((X1575)!=(esk13_2 @ X1574 @ X1575))|~(X1574 @ X1575)|(X1574 @ (esk14_1 @ X1574))))&(((((in @ (esk16_2 @ X1578 @ X1579) @ X1579)|((X1578)=(X1579))|(in @ (esk15_2 @ X1578 @ X1579) @ X1578))&(~(in @ (esk16_2 @ X1578 @ X1579) @ X1578)|((X1578)=(X1579))|(in @ (esk15_2 @ X1578 @ X1579) @ X1578)))&(((in @ (esk16_2 @ X1578 @ X1579) @ X1579)|((X1578)=(X1579))|~(in @ (esk15_2 @ X1578 @ X1579) @ X1579))&(~(in @ (esk16_2 @ X1578 @ X1579) @ X1578)|((X1578)=(X1579))|~(in @ (esk15_2 @ X1578 @ X1579) @ X1579))))&(((in @ (esk17_1 @ X1582) @ X1582)|((X1582)=(emptyset)))&(((in @ (esk18_1 @ X1584) @ X1584)|((X1584)=(emptyset)))&(((~(in @ X1588 @ (dsetconstr @ X1586 @ X1587))|(X1587 @ X1588)|~(in @ X1588 @ X1586))&(~(X1587 @ X1588)|(in @ X1588 @ (dsetconstr @ X1586 @ X1587))|~(in @ X1588 @ X1586)))&((((X1589)=(emptyset))|(in @ (esk19_1 @ X1589) @ X1589))&((~(in @ X1593 @ X1591)|(~(X1592 @ X1593)|((dsetconstr @ X1591 @ X1592)!=(emptyset))))&((~(in @ X1595 @ X1594)|((X1594)!=(emptyset)))&((in @ X1596 @ (setadjoin @ X1596 @ X1597))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1600 @ X1599)|(in @ X1600 @ (setadjoin @ X1598 @ X1599)))&(((((in @ X1603 @ X1602)|(X1604)|((X1603)=(X1601))|~(in @ X1603 @ (setadjoin @ X1601 @ X1602)))&(~(X1604)|(X1604)|((X1603)=(X1601))|~(in @ X1603 @ (setadjoin @ X1601 @ X1602))))&(((in @ X1603 @ X1602)|(X1604)|~(X1604)|~(in @ X1603 @ (setadjoin @ X1601 @ X1602)))&(~(X1604)|(X1604)|~(X1604)|~(in @ X1603 @ (setadjoin @ X1601 @ X1602)))))&((~(in @ X1607 @ (setadjoin @ X1605 @ X1606))|(((X1607)=(X1605))|(in @ X1607 @ X1606)))&(((dsetconstr @ X1608 @ (^[Z0/* 1 */:$i]:($true)))=(X1608))&((((in @ (esk20_2 @ X1609 @ X1610) @ X1610)|(in @ X1610 @ (powerset @ X1609)))&(~(in @ (esk20_2 @ X1609 @ X1610) @ X1609)|(in @ X1610 @ (powerset @ X1609))))&((in @ emptyset @ (powerset @ X1612))&((in @ emptyset @ (powerset @ X1613))&((~(in @ X1615 @ (powerset @ X1614))|(~(in @ X1616 @ X1615)|(in @ X1616 @ X1614)))&((~(in @ X1618 @ X1619)|(~(in @ X1619 @ X1617)|(in @ X1618 @ (setunion @ X1617))))&((((in @ X1621 @ (esk21_3 @ X1620 @ X1621 @ X1622))|(X1622)|~(in 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@ X2132 @ (esk71_4 @ X2129 @ X2130 @ X2131 @ X2132)))|(~(in @ X2134 @ X2129)|(~(in @ X2135 @ X2130)|(~(in @ (kpair @ X2134 @ X2135) @ X2132)|(in @ (kpair @ X2134 @ X2135) @ X2131))))|~(func @ X2129 @ X2130 @ X2132)|~(func @ X2129 @ X2130 @ X2131)))&((~(in @ X2138 @ (funcSet @ X2136 @ X2137))|(~(in @ X2139 @ X2136)|(~(in @ X2140 @ X2137)|(~(in @ (kpair @ X2139 @ X2140) @ X2138)|((ap @ X2136 @ X2137 @ X2138 @ X2139)=(X2140))))))&((((in @ (esk72_4 @ X2141 @ X2142 @ X2143 @ X2144) @ X2141)|(subset @ X2143 @ X2144)|~(subset @ X2144 @ (cartprod @ X2141 @ X2142))|~(subset @ X2143 @ (cartprod @ X2141 @ X2142)))&(((in @ (esk73_4 @ X2141 @ X2142 @ X2143 @ X2144) @ X2142)|(subset @ X2143 @ X2144)|~(subset @ X2144 @ (cartprod @ X2141 @ X2142))|~(subset @ X2143 @ (cartprod @ X2141 @ X2142)))&(((in @ (kpair @ (esk72_4 @ X2141 @ X2142 @ X2143 @ X2144) @ (esk73_4 @ X2141 @ X2142 @ X2143 @ X2144)) @ X2143)|(subset @ X2143 @ X2144)|~(subset @ X2144 @ (cartprod @ X2141 @ X2142))|~(subset @ X2143 @ (cartprod @ X2141 @ X2142)))&(~(in @ (kpair @ (esk72_4 @ X2141 @ X2142 @ X2143 @ X2144) @ (esk73_4 @ X2141 @ X2142 @ X2143 @ X2144)) @ X2144)|(subset @ X2143 @ X2144)|~(subset @ X2144 @ (cartprod @ X2141 @ X2142))|~(subset @ X2143 @ (cartprod @ X2141 @ X2142))))))&(((((in @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2147)|((X2149)=(X2150))|(in @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2147)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(((in @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2148)|((X2149)=(X2150))|(in @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2147)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(((in @ (kpair @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2150)|((X2149)=(X2150))|(in @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2147)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(~(in @ (kpair @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2149)|((X2149)=(X2150))|(in @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2147)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148))))))&((((in @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2147)|((X2149)=(X2150))|(in @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2148)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(((in @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2148)|((X2149)=(X2150))|(in @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2148)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(((in @ (kpair @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2150)|((X2149)=(X2150))|(in @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2148)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(~(in @ (kpair @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2149)|((X2149)=(X2150))|(in @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2148)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148))))))&((((in @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2147)|((X2149)=(X2150))|(in @ (kpair @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2149)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(((in @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2148)|((X2149)=(X2150))|(in @ (kpair @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2149)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(((in @ (kpair @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2150)|((X2149)=(X2150))|(in @ (kpair @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2149)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(~(in @ (kpair @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2149)|((X2149)=(X2150))|(in @ (kpair @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2149)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148))))))&(((in @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2147)|((X2149)=(X2150))|~(in @ (kpair @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2150)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(((in @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2148)|((X2149)=(X2150))|~(in @ (kpair @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2150)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(((in @ (kpair @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2150)|((X2149)=(X2150))|~(in @ (kpair @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2150)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))&(~(in @ (kpair @ (esk76_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk77_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2149)|((X2149)=(X2150))|~(in @ (kpair @ (esk74_4 @ X2147 @ X2148 @ X2149 @ X2150) @ (esk75_4 @ X2147 @ X2148 @ X2149 @ X2150)) @ X2150)|~(subset @ X2150 @ (cartprod @ X2147 @ X2148))|~(subset @ X2149 @ (cartprod @ X2147 @ X2148)))))))))&((((in @ (esk78_4 @ X2155 @ X2156 @ X2157 @ X2158) @ X2155)|((X2157)=(X2158))|~(func @ X2155 @ X2156 @ X2158)|~(func @ X2155 @ X2156 @ X2157))&(((ap @ X2155 @ X2156 @ X2157 @ (esk78_4 @ X2155 @ X2156 @ X2157 @ X2158))!=(ap @ X2155 @ X2156 @ X2158 @ (esk78_4 @ X2155 @ X2156 @ X2157 @ X2158)))|((X2157)=(X2158))|~(func @ X2155 @ X2156 @ X2158)|~(func @ X2155 @ X2156 @ X2157)))&((((in @ (esk79_4 @ X2160 @ X2161 @ X2162 @ X2163) @ X2160)|((X2162)=(X2163))|~(in @ X2163 @ (funcSet @ X2160 @ X2161))|~(in @ X2162 @ (funcSet @ X2160 @ X2161)))&(((ap @ X2160 @ X2161 @ X2162 @ (esk79_4 @ X2160 @ X2161 @ X2162 @ X2163))!=(ap @ X2160 @ X2161 @ X2163 @ (esk79_4 @ X2160 @ X2161 @ X2162 @ X2163)))|((X2162)=(X2163))|~(in @ X2163 @ (funcSet @ X2160 @ X2161))|~(in @ X2162 @ (funcSet @ X2160 @ X2161))))&((~(in @ X2167 @ (funcSet @ X2165 @ X2166))|(~(in @ X2168 @ X2165)|((ap @ X2165 @ X2166 @ X2167 @ X2168)=(ap @ X2165 @ X2166 @ X2167 @ X2168))))&((~(func @ X2169 @ X2170 @ X2171)|(~(in @ X2172 @ X2169)|((ap @ X2169 @ X2170 @ X2171 @ X2172)=(ap @ X2169 @ X2170 @ X2171 @ X2172))))&((((in @ (esk80_3 @ X2173 @ X2174 @ X2175) @ X2173)|(~(in @ X2177 @ X2173)|((ap @ X2173 @ X2174 @ (lam @ X2173 @ X2174 @ X2175) @ X2177)=(X2175 @ X2177))))&(~(in @ (X2175 @ (esk80_3 @ X2173 @ X2174 @ X2175)) @ X2174)|(~(in @ X2177 @ X2173)|((ap @ X2173 @ X2174 @ (lam @ X2173 @ X2174 @ X2175) @ X2177)=(X2175 @ X2177)))))&((~(func @ X2178 @ X2179 @ X2180)|((lam @ X2178 @ X2179 @ (ap @ X2178 @ X2179 @ X2180))=(X2180)))&((((in @ (esk81_3 @ X2181 @ X2182 @ X2183) @ X2181)|((lam @ X2181 @ X2182 @ X2183)=(lam @ X2181 @ X2182 @ X2183)))&(~(in @ (X2183 @ (esk81_3 @ X2181 @ X2182 @ X2183)) @ X2182)|((lam @ X2181 @ X2182 @ X2183)=(lam @ X2181 @ X2182 @ X2183))))&((((in @ (esk82_3 @ X2185 @ X2186 @ X2187) @ X2185)|(~(in @ X2189 @ X2185)|((ap @ X2185 @ X2186 @ (lam @ X2185 @ X2186 @ X2187) @ X2189)=(X2187 @ X2189))))&(~(in @ (X2187 @ (esk82_3 @ X2185 @ X2186 @ X2187)) @ X2186)|(~(in @ X2189 @ X2185)|((ap @ X2185 @ X2186 @ (lam @ X2185 @ X2186 @ X2187) @ X2189)=(X2187 @ X2189)))))&((~(in @ X2192 @ (funcSet @ X2190 @ X2191))|((lam @ X2190 @ X2191 @ (ap @ X2190 @ X2191 @ X2192))=(X2192)))&((~(in @ X2195 @ X2193)|(~(in @ X2196 @ X2193)|((X2194)|(in @ X2196 @ (dsetconstr @ X2193 @ (^[Z0/* 9 */:$i]:((((X2194)&((Z0)=(X2195)))|(~((X2194))&((Z0)=(X2196)))))))))))&((~(in @ X2199 @ X2197)|(~(in @ X2200 @ X2197)|((X2198)|((dsetconstr @ X2197 @ (^[Z0/* 9 */:$i]:((((X2198)&((Z0)=(X2199)))|(~((X2198))&((Z0)=(X2200)))))))=(setadjoin @ X2200 @ emptyset)))))&((~(in @ X2203 @ X2201)|(~(in @ X2204 @ X2201)|(~(X2202)|(in @ X2203 @ (dsetconstr @ X2201 @ (^[Z0/* 9 */:$i]:((((X2202)&((Z0)=(X2203)))|(~((X2202))&((Z0)=(X2204)))))))))))&((~(in @ X2207 @ X2205)|(~(in @ X2208 @ X2205)|(~(X2206)|((dsetconstr @ X2205 @ (^[Z0/* 9 */:$i]:((((X2206)&((Z0)=(X2207)))|(~((X2206))&((Z0)=(X2208)))))))=(setadjoin @ X2207 @ emptyset)))))&((~(in @ X2211 @ X2209)|(~(in @ X2212 @ X2209)|(singleton @ (dsetconstr @ X2209 @ (^[Z0/* 9 */:$i]:((((X2210)&((Z0)=(X2211)))|(~((X2210))&((Z0)=(X2212))))))))))&((~(in @ X2215 @ X2213)|(~(in @ X2216 @ X2213)|(in @ (if @ X2213 @ ((X2214)) @ X2215 @ X2216) @ X2213)))&((~(singleton @ X2217)|(~(in @ X2218 @ X2217)|((setunion @ X2217)=(X2218))))&((~(in @ X2221 @ X2219)|(~(in @ X2222 @ X2219)|(~(X2220)|((if @ X2219 @ ((X2220)) @ X2221 @ X2222)=(X2221)))))&((~(in @ X2225 @ X2223)|(~(in @ X2226 @ X2223)|((X2224)|((if @ X2223 @ ((X2224)) @ X2225 @ X2226)=(X2226)))))&((~(in @ X2229 @ X2227)|(~(in @ X2230 @ X2227)|(in @ (if @ X2227 @ ((X2228)) @ X2229 @ X2230) @ (setadjoin @ X2229 @ (setadjoin @ X2230 @ emptyset)))))&((~(in @ X2232 @ (powerset @ X2231))|(~(in @ X2233 @ (powerset @ X2231))|(in @ (binintersect @ X2232 @ X2233) @ (powerset @ X2231))))&((~(in @ X2235 @ (powerset @ X2234))|(~(in @ X2236 @ (powerset @ X2234))|(in @ (binunion @ X2235 @ X2236) @ (powerset @ X2234))))&((~(in @ X2238 @ (powerset @ X2237))|(in @ (powerset @ X2238) @ (powerset @ (powerset @ X2237))))&((in @ esk84_0 @ (powerset @ esk83_0))&((in @ esk85_0 @ (powerset @ esk83_0))&~(in @ (setminus @ esk84_0 @ esk85_0) @ (powerset @ esk83_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_314])])])])])])])).
11.57/1.99	thf(c_0_316, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ X2 @ (powerset @ X3))))), inference(split_conjunct,[status(thm)],[c_0_315])).
11.57/1.99	thf(c_0_317, negated_conjecture, (in @ esk84_0 @ (powerset @ esk83_0)), inference(split_conjunct,[status(thm)],[c_0_315])).
11.57/1.99	thf(c_0_318, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ X2 @ X4)|~((subset @ X2 @ X3))|~((subset @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_315])).
11.57/1.99	thf(c_0_319, negated_conjecture, (subset @ esk84_0 @ esk83_0), inference(spm,[status(thm)],[c_0_316, c_0_317])).
11.57/1.99	thf(c_0_320, negated_conjecture, ~((in @ (setminus @ esk84_0 @ esk85_0) @ (powerset @ esk83_0))), inference(split_conjunct,[status(thm)],[c_0_315])).
11.57/1.99	thf(c_0_321, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ (powerset @ X3))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_315])).
11.57/1.99	thf(c_0_322, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk83_0)|~((subset @ X2 @ esk84_0)))), inference(spm,[status(thm)],[c_0_318, c_0_319])).
11.57/1.99	thf(c_0_323, negated_conjecture, ![X3:$i, X2:$i]:((subset @ (setminus @ X2 @ X3) @ X2)), inference(split_conjunct,[status(thm)],[c_0_315])).
11.57/1.99	thf(c_0_324, negated_conjecture, ~((subset @ (setminus @ esk84_0 @ esk85_0) @ esk83_0)), inference(spm,[status(thm)],[c_0_320, c_0_321])).
11.57/1.99	thf(c_0_325, negated_conjecture, ![X2:$i]:((subset @ (setminus @ esk84_0 @ X2) @ esk83_0)), inference(spm,[status(thm)],[c_0_322, c_0_323])).
11.57/1.99	thf(c_0_326, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_324, c_0_325])]), ['proof']).
11.57/1.99	# SZS output end CNFRefutation
11.57/1.99	# Parsed axioms                        : 501
11.57/1.99	# Removed by relevancy pruning/SinE    : 268
11.57/1.99	# Initial clauses                      : 401
11.57/1.99	# Removed in clause preprocessing      : 29
11.57/1.99	# Initial clauses in saturation        : 372
11.57/1.99	# Processed clauses                    : 2778
11.57/1.99	# ...of these trivial                  : 24
11.57/1.99	# ...subsumed                          : 1166
11.57/1.99	# ...remaining for further processing  : 1588
11.57/1.99	# Other redundant clauses eliminated   : 67
11.57/1.99	# Clauses deleted for lack of memory   : 0
11.57/1.99	# Backward-subsumed                    : 82
11.57/1.99	# Backward-rewritten                   : 17
11.57/1.99	# Generated clauses                    : 54313
11.57/1.99	# ...of the previous two non-redundant : 52527
11.57/1.99	# ...aggressively subsumed             : 0
11.57/1.99	# Contextual simplify-reflections      : 1
11.57/1.99	# Paramodulations                      : 54198
11.57/1.99	# Factorizations                       : 22
11.57/1.99	# NegExts                              : 2
11.57/1.99	# Equation resolutions                 : 75
11.57/1.99	# Disequality decompositions           : 0
11.57/1.99	# Total rewrite steps                  : 5363
11.57/1.99	# ...of those cached                   : 5152
11.57/1.99	# Propositional unsat checks           : 0
11.57/1.99	#    Propositional check models        : 0
11.57/1.99	#    Propositional check unsatisfiable : 0
11.57/1.99	#    Propositional clauses             : 0
11.57/1.99	#    Propositional clauses after purity: 0
11.57/1.99	#    Propositional unsat core size     : 0
11.57/1.99	#    Propositional preprocessing time  : 0.000
11.57/1.99	#    Propositional encoding time       : 0.000
11.57/1.99	#    Propositional solver time         : 0.000
11.57/1.99	#    Success case prop preproc time    : 0.000
11.57/1.99	#    Success case prop encoding time   : 0.000
11.57/1.99	#    Success case prop solver time     : 0.000
11.57/1.99	# Current number of processed clauses  : 1147
11.57/1.99	#    Positive orientable unit clauses  : 58
11.57/1.99	#    Positive unorientable unit clauses: 0
11.57/1.99	#    Negative unit clauses             : 60
11.57/1.99	#    Non-unit-clauses                  : 1029
11.57/1.99	# Current number of unprocessed clauses: 50358
11.57/1.99	# ...number of literals in the above   : 191151
11.57/1.99	# Current number of archived formulas  : 0
11.57/1.99	# Current number of archived clauses   : 426
11.57/1.99	# Clause-clause subsumption calls (NU) : 97906
11.57/1.99	# Rec. Clause-clause subsumption calls : 46239
11.57/1.99	# Non-unit clause-clause subsumptions  : 796
11.57/1.99	# Unit Clause-clause subsumption calls : 2052
11.57/1.99	# Rewrite failures with RHS unbound    : 0
11.57/1.99	# BW rewrite match attempts            : 45
11.57/1.99	# BW rewrite match successes           : 12
11.57/1.99	# Condensation attempts                : 0
11.57/1.99	# Condensation successes               : 0
11.57/1.99	# Termbank termtop insertions          : 1057192
11.57/1.99	# Search garbage collected termcells   : 23366
11.57/1.99	
11.57/1.99	# -------------------------------------------------
11.57/1.99	# User time                : 1.298 s
11.57/1.99	# System time              : 0.069 s
11.57/1.99	# Total time               : 1.367 s
11.57/1.99	# Maximum resident set size: 7656 pages
11.57/1.99	
11.57/1.99	# -------------------------------------------------
11.57/1.99	# User time                : 1.309 s
11.57/1.99	# System time              : 0.075 s
11.57/1.99	# Total time               : 1.384 s
11.57/1.99	# Maximum resident set size: 2604 pages
11.57/1.99	% E---3.1 exiting
11.57/1.99	% E exiting
11.57/1.99	EOF