0.00/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.13	% Command    : run_E %s %d THM
0.12/0.34	% Computer : n021.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1440
0.12/0.34	% WCLimit    : 180
0.12/0.34	% DateTime   : Thu Jul  4 04:08:23 EDT 2024
0.12/0.34	% CPUTime    : 
0.21/0.49	Running higher-order theorem proving
0.21/0.55	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p
3.02/1.19	# Version: 3.2.0-ho
3.02/1.19	# Preprocessing class: HSLMSLSSLLLCHFA.
3.02/1.19	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
3.02/1.19	# Starting ehoh_best5 with 180s (1) cores
3.02/1.19	# Starting almost_fo_3_lam with 180s (1) cores
3.02/1.19	# Starting new_bool_5 with 180s (1) cores
3.02/1.19	# Starting pre_casc_3 with 180s (1) cores
3.02/1.19	# Starting ho_unfolding_8 with 180s (1) cores
3.02/1.19	# Starting new_ho_10_cnf2 with 180s (1) cores
3.02/1.19	# Starting new_bool_3 with 180s (1) cores
3.02/1.19	# Starting new_ho_5 with 180s (1) cores
3.02/1.19	# new_bool_3 with pid 4347 completed with status 0
3.02/1.19	# Result found by new_bool_3
3.02/1.19	# Preprocessing class: HSLMSLSSLLLCHFA.
3.02/1.19	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
3.02/1.19	# Starting ehoh_best5 with 180s (1) cores
3.02/1.19	# Starting almost_fo_3_lam with 180s (1) cores
3.02/1.19	# Starting new_bool_5 with 180s (1) cores
3.02/1.19	# Starting pre_casc_3 with 180s (1) cores
3.02/1.19	# Starting ho_unfolding_8 with 180s (1) cores
3.02/1.19	# Starting new_ho_10_cnf2 with 180s (1) cores
3.02/1.19	# Starting new_bool_3 with 180s (1) cores
3.02/1.19	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
3.02/1.19	# Search class: HGHSM-FSLM32-MHFMMSBN
3.02/1.19	# Scheduled 9 strats onto 1 cores with 180 seconds (180 total)
3.02/1.19	# Starting ho_unfolding_8 with 37s (1) cores
3.02/1.19	# ho_unfolding_8 with pid 4399 completed with status 0
3.02/1.19	# Result found by ho_unfolding_8
3.02/1.19	# Preprocessing class: HSLMSLSSLLLCHFA.
3.02/1.19	# Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
3.02/1.19	# Starting ehoh_best5 with 180s (1) cores
3.02/1.19	# Starting almost_fo_3_lam with 180s (1) cores
3.02/1.19	# Starting new_bool_5 with 180s (1) cores
3.02/1.19	# Starting pre_casc_3 with 180s (1) cores
3.02/1.19	# Starting ho_unfolding_8 with 180s (1) cores
3.02/1.19	# Starting new_ho_10_cnf2 with 180s (1) cores
3.02/1.19	# Starting new_bool_3 with 180s (1) cores
3.02/1.19	# SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
3.02/1.19	# Search class: HGHSM-FSLM32-MHFMMSBN
3.02/1.19	# Scheduled 9 strats onto 1 cores with 180 seconds (180 total)
3.02/1.19	# Starting ho_unfolding_8 with 37s (1) cores
3.02/1.19	# Preprocessing time       : 0.060 s
3.02/1.19	# Presaturation interreduction done
3.02/1.19	
3.02/1.19	# Proof found!
3.02/1.19	# SZS status Theorem
3.02/1.19	# SZS output start CNFRefutation
3.02/1.19	thf(decl_22, type, in: $i > $i > $o).
3.02/1.19	thf(decl_23, type, exu: ($i > $o) > $o).
3.02/1.19	thf(decl_24, type, setextAx: $o).
3.02/1.19	thf(decl_25, type, emptyset: $i).
3.02/1.19	thf(decl_26, type, emptysetAx: $o).
3.02/1.19	thf(decl_27, type, setadjoin: $i > $i > $i).
3.02/1.19	thf(decl_28, type, setadjoinAx: $o).
3.02/1.19	thf(decl_29, type, powerset: $i > $i).
3.02/1.19	thf(decl_30, type, powersetAx: $o).
3.02/1.19	thf(decl_31, type, setunion: $i > $i).
3.02/1.19	thf(decl_32, type, setunionAx: $o).
3.02/1.19	thf(decl_33, type, omega: $i).
3.02/1.19	thf(decl_34, type, omega0Ax: $o).
3.02/1.19	thf(decl_35, type, omegaSAx: $o).
3.02/1.19	thf(decl_36, type, omegaIndAx: $o).
3.02/1.19	thf(decl_37, type, replAx: $o).
3.02/1.19	thf(decl_38, type, foundationAx: $o).
3.02/1.19	thf(decl_39, type, wellorderingAx: $o).
3.02/1.19	thf(decl_40, type, descr: ($i > $o) > $i).
3.02/1.19	thf(decl_41, type, descrp: $o).
3.02/1.19	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_43, type, dsetconstrI: $o).
3.02/1.19	thf(decl_44, type, dsetconstrEL: $o).
3.02/1.19	thf(decl_45, type, dsetconstrER: $o).
3.02/1.19	thf(decl_46, type, exuE1: $o).
3.02/1.19	thf(decl_47, type, prop2set: $o > $i).
3.02/1.19	thf(decl_48, type, prop2setE: $o).
3.02/1.19	thf(decl_49, type, emptysetE: $o).
3.02/1.19	thf(decl_50, type, emptysetimpfalse: $o).
3.02/1.19	thf(decl_51, type, notinemptyset: $o).
3.02/1.19	thf(decl_52, type, exuE3e: $o).
3.02/1.19	thf(decl_53, type, setext: $o).
3.02/1.19	thf(decl_54, type, emptyI: $o).
3.02/1.19	thf(decl_55, type, noeltsimpempty: $o).
3.02/1.19	thf(decl_56, type, setbeta: $o).
3.02/1.19	thf(decl_57, type, nonempty: $i > $o).
3.02/1.19	thf(decl_58, type, nonemptyE1: $o).
3.02/1.19	thf(decl_59, type, nonemptyI: $o).
3.02/1.19	thf(decl_60, type, nonemptyI1: $o).
3.02/1.19	thf(decl_61, type, setadjoinIL: $o).
3.02/1.19	thf(decl_62, type, emptyinunitempty: $o).
3.02/1.19	thf(decl_63, type, setadjoinIR: $o).
3.02/1.19	thf(decl_64, type, setadjoinE: $o).
3.02/1.19	thf(decl_65, type, setadjoinOr: $o).
3.02/1.19	thf(decl_66, type, setoftrueEq: $o).
3.02/1.19	thf(decl_67, type, powersetI: $o).
3.02/1.19	thf(decl_68, type, emptyinPowerset: $o).
3.02/1.19	thf(decl_69, type, emptyInPowerset: $o).
3.02/1.19	thf(decl_70, type, powersetE: $o).
3.02/1.19	thf(decl_71, type, setunionI: $o).
3.02/1.19	thf(decl_72, type, setunionE: $o).
3.02/1.19	thf(decl_73, type, subPowSU: $o).
3.02/1.19	thf(decl_74, type, exuE2: $o).
3.02/1.19	thf(decl_75, type, nonemptyImpWitness: $o).
3.02/1.19	thf(decl_76, type, uniqinunit: $o).
3.02/1.19	thf(decl_77, type, notinsingleton: $o).
3.02/1.19	thf(decl_78, type, eqinunit: $o).
3.02/1.19	thf(decl_79, type, singletonsswitch: $o).
3.02/1.19	thf(decl_80, type, upairsetE: $o).
3.02/1.19	thf(decl_81, type, upairsetIL: $o).
3.02/1.19	thf(decl_82, type, upairsetIR: $o).
3.02/1.19	thf(decl_83, type, emptyE1: $o).
3.02/1.19	thf(decl_84, type, vacuousDall: $o).
3.02/1.19	thf(decl_85, type, quantDeMorgan1: $o).
3.02/1.19	thf(decl_86, type, quantDeMorgan2: $o).
3.02/1.19	thf(decl_87, type, quantDeMorgan3: $o).
3.02/1.19	thf(decl_88, type, quantDeMorgan4: $o).
3.02/1.19	thf(decl_89, type, prop2setI: $o).
3.02/1.19	thf(decl_91, type, prop2set2propI: $o).
3.02/1.19	thf(decl_92, type, notdexE: $o).
3.02/1.19	thf(decl_93, type, notdallE: $o).
3.02/1.19	thf(decl_94, type, exuI1: $o).
3.02/1.19	thf(decl_95, type, exuI3: $o).
3.02/1.19	thf(decl_96, type, exuI2: $o).
3.02/1.19	thf(decl_97, type, inCongP: $o).
3.02/1.19	thf(decl_98, type, in__Cong: $o).
3.02/1.19	thf(decl_99, type, exuE3u: $o).
3.02/1.19	thf(decl_100, type, exu__Cong: $o).
3.02/1.19	thf(decl_101, type, emptyset__Cong: $o).
3.02/1.19	thf(decl_102, type, setadjoin__Cong: $o).
3.02/1.19	thf(decl_103, type, powerset__Cong: $o).
3.02/1.19	thf(decl_104, type, setunion__Cong: $o).
3.02/1.19	thf(decl_105, type, omega__Cong: $o).
3.02/1.19	thf(decl_106, type, exuEu: $o).
3.02/1.19	thf(decl_107, type, descr__Cong: $o).
3.02/1.19	thf(decl_108, type, dsetconstr__Cong: $o).
3.02/1.19	thf(decl_109, type, subset: $i > $i > $o).
3.02/1.19	thf(decl_112, type, subsetI1: $o).
3.02/1.19	thf(decl_113, type, eqimpsubset2: $o).
3.02/1.19	thf(decl_114, type, eqimpsubset1: $o).
3.02/1.19	thf(decl_115, type, subsetI2: $o).
3.02/1.19	thf(decl_116, type, emptysetsubset: $o).
3.02/1.19	thf(decl_117, type, subsetE: $o).
3.02/1.19	thf(decl_118, type, subsetE2: $o).
3.02/1.19	thf(decl_119, type, notsubsetI: $o).
3.02/1.19	thf(decl_120, type, notequalI1: $o).
3.02/1.19	thf(decl_121, type, notequalI2: $o).
3.02/1.19	thf(decl_122, type, subsetRefl: $o).
3.02/1.19	thf(decl_123, type, subsetTrans: $o).
3.02/1.19	thf(decl_124, type, setadjoinSub: $o).
3.02/1.19	thf(decl_125, type, setadjoinSub2: $o).
3.02/1.19	thf(decl_126, type, subset2powerset: $o).
3.02/1.19	thf(decl_127, type, setextsub: $o).
3.02/1.19	thf(decl_128, type, subsetemptysetimpeq: $o).
3.02/1.19	thf(decl_129, type, powersetI1: $o).
3.02/1.19	thf(decl_130, type, powersetE1: $o).
3.02/1.19	thf(decl_131, type, inPowerset: $o).
3.02/1.19	thf(decl_132, type, powersetsubset: $o).
3.02/1.19	thf(decl_133, type, sepInPowerset: $o).
3.02/1.19	thf(decl_134, type, sepSubset: $o).
3.02/1.19	thf(decl_135, type, binunion: $i > $i > $i).
3.02/1.19	thf(decl_136, type, binunionIL: $o).
3.02/1.19	thf(decl_137, type, upairset2IR: $o).
3.02/1.19	thf(decl_138, type, binunionIR: $o).
3.02/1.19	thf(decl_139, type, binunionEcases: $o).
3.02/1.19	thf(decl_140, type, binunionE: $o).
3.02/1.19	thf(decl_141, type, binunionLsub: $o).
3.02/1.19	thf(decl_142, type, binunionRsub: $o).
3.02/1.19	thf(decl_143, type, binintersect: $i > $i > $i).
3.02/1.19	thf(decl_144, type, binintersectI: $o).
3.02/1.19	thf(decl_145, type, binintersectSubset5: $o).
3.02/1.19	thf(decl_146, type, binintersectEL: $o).
3.02/1.19	thf(decl_147, type, binintersectLsub: $o).
3.02/1.19	thf(decl_148, type, binintersectSubset2: $o).
3.02/1.19	thf(decl_149, type, binintersectSubset3: $o).
3.02/1.19	thf(decl_150, type, binintersectER: $o).
3.02/1.19	thf(decl_151, type, disjointsetsI1: $o).
3.02/1.19	thf(decl_152, type, binintersectRsub: $o).
3.02/1.19	thf(decl_153, type, binintersectSubset4: $o).
3.02/1.19	thf(decl_154, type, binintersectSubset1: $o).
3.02/1.19	thf(decl_155, type, bs114d: $o).
3.02/1.19	thf(decl_157, type, setminus: $i > $i > $i).
3.02/1.19	thf(decl_158, type, setminusI: $o).
3.02/1.19	thf(decl_159, type, setminusEL: $o).
3.02/1.19	thf(decl_160, type, setminusER: $o).
3.02/1.19	thf(decl_161, type, setminusSubset2: $o).
3.02/1.19	thf(decl_162, type, setminusERneg: $o).
3.02/1.19	thf(decl_163, type, setminusELneg: $o).
3.02/1.19	thf(decl_164, type, setminusILneg: $o).
3.02/1.19	thf(decl_165, type, setminusIRneg: $o).
3.02/1.19	thf(decl_166, type, setminusLsub: $o).
3.02/1.19	thf(decl_167, type, setminusSubset1: $o).
3.02/1.19	thf(decl_168, type, symdiff: $i > $i > $i).
3.02/1.19	thf(decl_169, type, symdiffE: $o).
3.02/1.19	thf(decl_170, type, symdiffI1: $o).
3.02/1.19	thf(decl_171, type, symdiffI2: $o).
3.02/1.19	thf(decl_172, type, symdiffIneg1: $o).
3.02/1.19	thf(decl_173, type, symdiffIneg2: $o).
3.02/1.19	thf(decl_174, type, iskpair: $i > $o).
3.02/1.19	thf(decl_175, type, secondinupair: $o).
3.02/1.19	thf(decl_176, type, setukpairIL: $o).
3.02/1.19	thf(decl_177, type, setukpairIR: $o).
3.02/1.19	thf(decl_178, type, kpairiskpair: $o).
3.02/1.19	thf(decl_179, type, kpair: $i > $i > $i).
3.02/1.19	thf(decl_180, type, kpairp: $o).
3.02/1.19	thf(decl_181, type, cartprod: $i > $i > $i).
3.02/1.19	thf(decl_182, type, singletonsubset: $o).
3.02/1.19	thf(decl_183, type, singletoninpowerset: $o).
3.02/1.19	thf(decl_184, type, singletoninpowunion: $o).
3.02/1.19	thf(decl_185, type, upairset2E: $o).
3.02/1.19	thf(decl_186, type, upairsubunion: $o).
3.02/1.19	thf(decl_187, type, upairinpowunion: $o).
3.02/1.19	thf(decl_188, type, ubforcartprodlem1: $o).
3.02/1.19	thf(decl_189, type, ubforcartprodlem2: $o).
3.02/1.19	thf(decl_190, type, ubforcartprodlem3: $o).
3.02/1.19	thf(decl_191, type, cartprodpairin: $o).
3.02/1.19	thf(decl_192, type, cartprodmempair1: $o).
3.02/1.19	thf(decl_193, type, cartprodmempair: $o).
3.02/1.19	thf(decl_194, type, setunionE2: $o).
3.02/1.19	thf(decl_195, type, setunionsingleton1: $o).
3.02/1.19	thf(decl_196, type, setunionsingleton2: $o).
3.02/1.19	thf(decl_197, type, setunionsingleton: $o).
3.02/1.19	thf(decl_198, type, singleton: $i > $o).
3.02/1.19	thf(decl_199, type, singletonprop: $o).
3.02/1.19	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
3.02/1.19	thf(decl_201, type, ex1E1: $o).
3.02/1.19	thf(decl_202, type, ex1I: $o).
3.02/1.19	thf(decl_203, type, ex1I2: $o).
3.02/1.19	thf(decl_204, type, singletonsuniq: $o).
3.02/1.19	thf(decl_209, type, setukpairinjL1: $o).
3.02/1.19	thf(decl_210, type, kfstsingleton: $o).
3.02/1.19	thf(decl_211, type, theprop: $o).
3.02/1.19	thf(decl_212, type, kfst: $i > $i).
3.02/1.19	thf(decl_213, type, kfstpairEq: $o).
3.02/1.19	thf(decl_214, type, cartprodfstin: $o).
3.02/1.19	thf(decl_215, type, setukpairinjL2: $o).
3.02/1.19	thf(decl_216, type, setukpairinjL: $o).
3.02/1.19	thf(decl_217, type, setukpairinjR11: $o).
3.02/1.19	thf(decl_218, type, setukpairinjR12: $o).
3.02/1.19	thf(decl_219, type, setukpairinjR1: $o).
3.02/1.19	thf(decl_220, type, upairequniteq: $o).
3.02/1.19	thf(decl_221, type, setukpairinjR2: $o).
3.02/1.19	thf(decl_222, type, setukpairinjR: $o).
3.02/1.19	thf(decl_223, type, ksndsingleton: $o).
3.02/1.19	thf(decl_224, type, ksnd: $i > $i).
3.02/1.19	thf(decl_225, type, ksndpairEq: $o).
3.02/1.19	thf(decl_226, type, kpairsurjEq: $o).
3.02/1.19	thf(decl_227, type, cartprodsndin: $o).
3.02/1.19	thf(decl_228, type, cartprodpairmemEL: $o).
3.02/1.19	thf(decl_229, type, cartprodpairmemER: $o).
3.02/1.19	thf(decl_230, type, cartprodmempaircEq: $o).
3.02/1.19	thf(decl_231, type, cartprodfstpairEq: $o).
3.02/1.19	thf(decl_232, type, cartprodsndpairEq: $o).
3.02/1.19	thf(decl_233, type, cartprodpairsurjEq: $o).
3.02/1.19	thf(decl_234, type, breln: $i > $i > $i > $o).
3.02/1.19	thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
3.02/1.19	thf(decl_236, type, dpsetconstrI: $o).
3.02/1.19	thf(decl_237, type, dpsetconstrSub: $o).
3.02/1.19	thf(decl_238, type, setOfPairsIsBReln: $o).
3.02/1.19	thf(decl_239, type, dpsetconstrERa: $o).
3.02/1.19	thf(decl_240, type, dpsetconstrEL1: $o).
3.02/1.19	thf(decl_241, type, dpsetconstrEL2: $o).
3.02/1.19	thf(decl_242, type, dpsetconstrER: $o).
3.02/1.19	thf(decl_243, type, func: $i > $i > $i > $o).
3.02/1.19	thf(decl_244, type, funcSet: $i > $i > $i).
3.02/1.19	thf(decl_245, type, funcImageSingleton: $o).
3.02/1.19	thf(decl_246, type, apProp: $o).
3.02/1.19	thf(decl_247, type, ap: $i > $i > $i > $i > $i).
3.02/1.19	thf(decl_248, type, app: $o).
3.02/1.19	thf(decl_249, type, infuncsetfunc: $o).
3.02/1.19	thf(decl_250, type, ap2p: $o).
3.02/1.19	thf(decl_251, type, funcinfuncset: $o).
3.02/1.19	thf(decl_252, type, lamProp: $o).
3.02/1.19	thf(decl_253, type, lam: $i > $i > ($i > $i) > $i).
3.02/1.19	thf(decl_254, type, lamp: $o).
3.02/1.19	thf(decl_255, type, lam2p: $o).
3.02/1.19	thf(decl_256, type, brelnall1: $o).
3.02/1.19	thf(decl_257, type, brelnall2: $o).
3.02/1.19	thf(decl_258, type, ex1E2: $o).
3.02/1.19	thf(decl_259, type, funcGraphProp1: $o).
3.02/1.19	thf(decl_260, type, funcGraphProp3: $o).
3.02/1.19	thf(decl_261, type, funcGraphProp2: $o).
3.02/1.19	thf(decl_262, type, funcextLem: $o).
3.02/1.19	thf(decl_263, type, funcGraphProp4: $o).
3.02/1.19	thf(decl_264, type, subbreln: $o).
3.02/1.19	thf(decl_265, type, eqbreln: $o).
3.02/1.19	thf(decl_266, type, funcext: $o).
3.02/1.19	thf(decl_267, type, funcext2: $o).
3.02/1.19	thf(decl_268, type, ap2apEq1: $o).
3.02/1.19	thf(decl_269, type, ap2apEq2: $o).
3.02/1.19	thf(decl_270, type, beta1: $o).
3.02/1.19	thf(decl_271, type, eta1: $o).
3.02/1.19	thf(decl_272, type, lam2lamEq: $o).
3.02/1.19	thf(decl_273, type, beta2: $o).
3.02/1.19	thf(decl_274, type, eta2: $o).
3.02/1.19	thf(decl_275, type, iffalseProp1: $o).
3.02/1.19	thf(decl_276, type, iffalseProp2: $o).
3.02/1.19	thf(decl_277, type, iftrueProp1: $o).
3.02/1.19	thf(decl_278, type, iftrueProp2: $o).
3.02/1.19	thf(decl_279, type, ifSingleton: $o).
3.02/1.19	thf(decl_280, type, if: $i > $o > $i > $i > $i).
3.02/1.19	thf(decl_281, type, ifp: $o).
3.02/1.19	thf(decl_282, type, theeq: $o).
3.02/1.19	thf(decl_283, type, iftrue: $o).
3.02/1.19	thf(decl_284, type, iffalse: $o).
3.02/1.19	thf(decl_285, type, iftrueorfalse: $o).
3.02/1.19	thf(decl_286, type, binintersectT_lem: $o).
3.02/1.19	thf(decl_287, type, binunionT_lem: $o).
3.02/1.19	thf(decl_288, type, powersetT_lem: $o).
3.02/1.19	thf(decl_289, type, setminusT_lem: $o).
3.02/1.19	thf(decl_290, type, complementT_lem: $o).
3.02/1.19	thf(decl_291, type, setextT: $o).
3.02/1.19	thf(decl_292, type, subsetTI: $o).
3.02/1.19	thf(decl_293, type, powersetTI1: $o).
3.02/1.19	thf(decl_294, type, powersetTE1: $o).
3.02/1.19	thf(decl_295, type, complementTI1: $o).
3.02/1.19	thf(decl_296, type, complementTE1: $o).
3.02/1.19	thf(decl_297, type, binintersectTELcontra: $o).
3.02/1.19	thf(decl_298, type, binintersectTERcontra: $o).
3.02/1.19	thf(decl_299, type, contrasubsetT: $o).
3.02/1.19	thf(decl_300, type, contrasubsetT1: $o).
3.02/1.19	thf(decl_301, type, contrasubsetT2: $o).
3.02/1.19	thf(decl_302, type, contrasubsetT3: $o).
3.02/1.19	thf(decl_303, type, doubleComplementI1: $o).
3.02/1.19	thf(decl_304, type, doubleComplementE1: $o).
3.02/1.19	thf(decl_305, type, doubleComplementSub1: $o).
3.02/1.19	thf(decl_306, type, doubleComplementSub2: $o).
3.02/1.19	thf(decl_307, type, doubleComplementEq: $o).
3.02/1.19	thf(decl_308, type, complementTnotintersectT: $o).
3.02/1.19	thf(decl_309, type, complementImpComplementIntersect: $o).
3.02/1.19	thf(decl_310, type, epred1_0: $o).
3.02/1.19	thf(decl_311, type, esk1_2: $i > $i > $i).
3.02/1.19	thf(decl_312, type, esk2_2: $i > $i > $i).
3.02/1.19	thf(decl_313, type, esk3_2: $i > $i > $i).
3.02/1.19	thf(decl_314, type, esk4_1: $i > $i).
3.02/1.19	thf(decl_315, type, esk5_2: ($i > $i > $o) > $i > $i).
3.02/1.19	thf(decl_316, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
3.02/1.19	thf(decl_317, type, esk7_2: ($i > $i > $o) > $i > $i).
3.02/1.19	thf(decl_318, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
3.02/1.19	thf(decl_319, type, esk9_1: $i > $i).
3.02/1.19	thf(decl_320, type, esk10_2: ($i > $o) > $i > $i).
3.02/1.19	thf(decl_321, type, esk11_2: ($i > $o) > $i > $i).
3.02/1.19	thf(decl_322, type, esk12_1: ($i > $o) > $i).
3.02/1.19	thf(decl_323, type, esk13_2: ($i > $o) > $i > $i).
3.02/1.19	thf(decl_324, type, esk14_1: ($i > $o) > $i).
3.02/1.19	thf(decl_325, type, esk15_2: $i > $i > $i).
3.02/1.19	thf(decl_326, type, esk16_2: $i > $i > $i).
3.02/1.19	thf(decl_327, type, esk17_1: $i > $i).
3.02/1.19	thf(decl_328, type, esk18_1: $i > $i).
3.02/1.19	thf(decl_329, type, esk19_1: $i > $i).
3.02/1.19	thf(decl_330, type, esk20_2: $i > $i > $i).
3.02/1.19	thf(decl_331, type, esk21_3: $i > $i > $o > $i).
3.02/1.19	thf(decl_332, type, esk22_2: ($i > $o) > $i > $i).
3.02/1.19	thf(decl_333, type, esk23_1: ($i > $o) > $i).
3.02/1.19	thf(decl_334, type, esk24_1: $i > $i).
3.02/1.19	thf(decl_335, type, esk25_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_336, type, esk26_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_337, type, esk27_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_338, type, esk28_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_339, type, esk29_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_340, type, esk30_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_341, type, esk31_2: ($i > $o) > $i > $i).
3.02/1.19	thf(decl_342, type, esk32_1: ($i > $o) > $i).
3.02/1.19	thf(decl_343, type, esk33_1: ($i > $o) > $i).
3.02/1.19	thf(decl_344, type, esk34_1: ($i > $o) > $i).
3.02/1.19	thf(decl_345, type, esk35_1: ($i > $o) > $i).
3.02/1.19	thf(decl_346, type, esk36_2: ($i > $o) > $i > $i).
3.02/1.19	thf(decl_347, type, esk37_1: ($i > $o) > $i).
3.02/1.19	thf(decl_348, type, esk38_2: ($i > $o) > $i > $i).
3.02/1.19	thf(decl_349, type, esk39_2: ($i > $o) > ($i > $o) > $i).
3.02/1.19	thf(decl_350, type, esk40_2: ($i > $o) > ($i > $o) > $i).
3.02/1.19	thf(decl_351, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
3.02/1.19	thf(decl_352, type, esk42_2: ($i > $o) > ($i > $o) > $i).
3.02/1.19	thf(decl_353, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
3.02/1.19	thf(decl_354, type, esk44_2: ($i > $o) > ($i > $o) > $i).
3.02/1.19	thf(decl_355, type, esk45_2: ($i > $o) > $i > $i).
3.02/1.19	thf(decl_356, type, esk46_2: ($i > $o) > ($i > $o) > $i).
3.02/1.19	thf(decl_357, type, esk47_2: ($i > $o) > ($i > $o) > $i).
3.02/1.19	thf(decl_358, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
3.02/1.19	thf(decl_359, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
3.02/1.19	thf(decl_360, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
3.02/1.19	thf(decl_361, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
3.02/1.19	thf(decl_362, type, esk52_2: $i > $i > $i).
3.02/1.19	thf(decl_363, type, esk53_2: $i > $i > $i).
3.02/1.19	thf(decl_364, type, esk54_2: $i > $i > $i).
3.02/1.19	thf(decl_365, type, esk55_3: $i > $i > $i > $i).
3.02/1.19	thf(decl_366, type, esk56_3: $i > $i > $i > $i).
3.02/1.19	thf(decl_367, type, esk57_2: $i > $i > $i).
3.02/1.19	thf(decl_368, type, esk58_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_369, type, esk59_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_370, type, esk60_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_371, type, esk61_3: $i > ($i > $o) > $i > $i).
3.02/1.19	thf(decl_372, type, esk62_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_373, type, esk63_2: $i > ($i > $o) > $i).
3.02/1.19	thf(decl_374, type, esk64_3: $i > $i > ($i > $i) > $i).
3.02/1.19	thf(decl_375, type, esk65_3: $i > $i > ($i > $i) > $i).
3.02/1.19	thf(decl_376, type, esk66_3: $i > $i > ($i > $i) > $i).
3.02/1.19	thf(decl_377, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
3.02/1.19	thf(decl_378, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
3.02/1.19	thf(decl_379, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
3.02/1.19	thf(decl_380, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
3.02/1.19	thf(decl_381, type, esk71_4: $i > $i > $i > $i > $i).
3.02/1.19	thf(decl_382, type, esk72_4: $i > $i > $i > $i > $i).
3.02/1.19	thf(decl_383, type, esk73_4: $i > $i > $i > $i > $i).
3.02/1.19	thf(decl_384, type, esk74_4: $i > $i > $i > $i > $i).
3.02/1.19	thf(decl_385, type, esk75_4: $i > $i > $i > $i > $i).
3.02/1.19	thf(decl_386, type, esk76_4: $i > $i > $i > $i > $i).
3.02/1.19	thf(decl_387, type, esk77_4: $i > $i > $i > $i > $i).
3.02/1.19	thf(decl_388, type, esk78_4: $i > $i > $i > $i > $i).
3.02/1.19	thf(decl_389, type, esk79_4: $i > $i > $i > $i > $i).
3.02/1.19	thf(decl_390, type, esk80_3: $i > $i > ($i > $i) > $i).
3.02/1.19	thf(decl_391, type, esk81_3: $i > $i > ($i > $i) > $i).
3.02/1.19	thf(decl_392, type, esk82_3: $i > $i > ($i > $i) > $i).
3.02/1.19	thf(decl_393, type, esk83_3: $i > $i > $i > $i).
3.02/1.19	thf(decl_394, type, esk84_3: $i > $i > $i > $i).
3.02/1.19	thf(decl_395, type, esk85_3: $i > $i > $i > $i).
3.02/1.19	thf(decl_396, type, esk86_3: $i > $i > $i > $i).
3.02/1.19	thf(decl_397, type, esk87_0: $i).
3.02/1.19	thf(decl_398, type, esk88_0: $i).
3.02/1.19	thf(decl_399, type, esk89_0: $i).
3.02/1.19	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', exu__Cong)).
3.02/1.19	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', exu)).
3.02/1.19	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', exuI2)).
3.02/1.19	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', exuI1)).
3.02/1.19	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', nonempty)).
3.02/1.19	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', exuE2)).
3.02/1.19	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', nonemptyI)).
3.02/1.19	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', exuE3e)).
3.02/1.19	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ex1E1)).
3.02/1.19	thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ex1)).
3.02/1.19	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', exuE1)).
3.02/1.19	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ex1I2)).
3.02/1.19	thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', breln)).
3.02/1.19	thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ex1E2)).
3.02/1.19	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setOfPairsIsBReln)).
3.02/1.19	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ex1I)).
3.02/1.19	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', descr__Cong)).
3.02/1.19	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', exuEu)).
3.02/1.19	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', exuE3u)).
3.02/1.19	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', exuI3)).
3.02/1.19	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', descrp)).
3.02/1.19	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', replAx)).
3.02/1.19	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', dsetconstr__Cong)).
3.02/1.19	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', emptyE1)).
3.02/1.19	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', nonemptyImpWitness)).
3.02/1.19	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setoftrueEq)).
3.02/1.19	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', dpsetconstrSub)).
3.02/1.19	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', dpsetconstrERa)).
3.02/1.19	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', dpsetconstrEL1)).
3.02/1.19	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', dpsetconstrEL2)).
3.02/1.19	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', funcImageSingleton)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', lamProp)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', brelnall2)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subbreln)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', eta1)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', lam2lamEq)).
3.02/1.19	thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((X42)&((X14)=(X2)))|(~((X42))&((X14)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', iftrueProp2)).
3.02/1.19	thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ifSingleton)).
3.02/1.19	thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X41)&((X14)=(X2)))|(~((X41))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', iftrueProp1)).
3.02/1.19	thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', iffalseProp2)).
3.02/1.19	thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X39)&((X14)=(X2)))|(~((X39))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', iffalseProp1)).
3.02/1.19	thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', eta2)).
3.02/1.19	thf(beta2, axiom, ((beta2)<=>![X4:$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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', beta2)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', beta1)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', eqbreln)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', brelnall1)).
3.02/1.19	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:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', lam2p)).
3.02/1.19	thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', lamp)).
3.02/1.19	thf(apProp, axiom, ((apProp)<=>![X4:$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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', apProp)).
3.02/1.19	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', dpsetconstrER)).
3.02/1.19	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', dpsetconstrI)).
3.02/1.19	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ksndsingleton)).
3.02/1.19	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', kfstsingleton)).
3.02/1.19	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', singletonprop)).
3.02/1.19	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', sepSubset)).
3.02/1.19	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', sepInPowerset)).
3.02/1.19	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', nonemptyI1)).
3.02/1.19	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', nonemptyE1)).
3.02/1.19	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setbeta)).
3.02/1.19	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', dsetconstrER)).
3.02/1.19	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', dsetconstrEL)).
3.02/1.19	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', dsetconstrI)).
3.02/1.19	thf(complementSubsetComplementIntersect, conjecture, ((((setadjoinAx)=>((((omega0Ax)=>(((omegaIndAx)=>((replAx)=>((foundationAx)=>(((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>(((prop2setE)=>((((((setext)=>((emptyI)=>(((setbeta)=>((nonemptyE1)=>(((nonemptyI1)=>((setadjoinIL)=>(((setadjoinIR)=>(((setadjoinOr)=>(((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((((setunionE)=>((subPowSU)=>(((((notinsingleton)=>((((upairsetE)=>((upairsetIL)=>(((((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((((exuI3)=>(((((exuE3u)=>(((emptyset__Cong)=>(((powerset__Cong)=>((setunion__Cong)=>(((exuEu)=>((descr__Cong)=>(((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((((((((notequalI2)=>((subsetRefl)=>((subsetTrans)=>(((((((((inPowerset)=>((powersetsubset)=>((((binunionIL)=>((upairset2IR)=>(((binunionEcases)=>(((binunionLsub)=>((binunionRsub)=>(((binintersectSubset5)=>((((binintersectSubset2)=>((binintersectSubset3)=>((((binintersectRsub)=>((((((((setminusSubset2)=>((setminusERneg)=>((((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>(((singletonsubset)=>(((singletoninpowunion)=>((((upairinpowunion)=>((ubforcartprodlem1)=>(((ubforcartprodlem3)=>(((cartprodmempair1)=>((((setunionsingleton1)=>(((setunionsingleton)=>(((ex1E1)=>(((ex1I2)=>((singletonsuniq)=>((((theprop)=>((kfstpairEq)=>(((((setukpairinjR11)=>((((upairequniteq)=>((setukpairinjR2)=>((((ksndpairEq)=>((kpairsurjEq)=>((cartprodsndin)=>((((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((cartprodpairsurjEq)=>(((dpsetconstrSub)=>(((dpsetconstrERa)=>((dpsetconstrEL1)=>((dpsetconstrEL2)=>(((funcImageSingleton)=>(((app)=>((infuncsetfunc)=>((((lamProp)=>(((((brelnall2)=>((((((((subbreln)=>((((funcext2)=>(((((eta1)=>((lam2lamEq)=>(((((((iftrueProp2)=>((((theeq)=>((iftrue)=>(((((binunionT_lem)=>((((complementT_lem)=>((setextT)=>((((powersetTE1)=>((complementTI1)=>((complementTE1)=>((binintersectTELcontra)=>(((contrasubsetT)=>((contrasubsetT1)=>(((contrasubsetT3)=>((((doubleComplementSub1)=>(((((complementImpComplementIntersect)=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48)))<=(in @ X48 @ (powerset @ X4)))))))<=(complementTnotintersectT))<=(doubleComplementEq))<=(doubleComplementSub2)))<=(doubleComplementE1))<=(doubleComplementI1)))<=(contrasubsetT2))))<=(binintersectTERcontra))))))<=(powersetTI1))<=(subsetTI))))<=(setminusT_lem))<=(powersetT_lem)))<=(binintersectT_lem))<=(iftrueorfalse))<=(iffalse))))<=(ifp))<=(ifSingleton)))<=(iftrueProp1))<=(iffalseProp2))<=(iffalseProp1))<=(eta2))<=(beta2))))<=(beta1))<=(ap2apEq2))<=(ap2apEq1)))<=(funcext))<=(eqbreln)))<=(funcGraphProp4))<=(funcextLem))<=(funcGraphProp2))<=(funcGraphProp3))<=(funcGraphProp1))<=(ex1E2)))<=(brelnall1))<=(lam2p))<=(lamp)))<=(funcinfuncset))<=(ap2p))))<=(apProp)))<=(dpsetconstrER)))))<=(setOfPairsIsBReln)))<=(dpsetconstrI))))))<=(cartprodpairmemER))<=(cartprodpairmemEL)))))<=(ksndsingleton))<=(setukpairinjR))))<=(setukpairinjR1))<=(setukpairinjR12)))<=(setukpairinjL))<=(setukpairinjL2))<=(cartprodfstin))))<=(kfstsingleton))<=(setukpairinjL1))))<=(ex1I)))<=(singletonprop)))<=(setunionsingleton2)))<=(setunionE2))<=(cartprodmempair)))<=(cartprodpairin)))<=(ubforcartprodlem2))))<=(upairsubunion))<=(upairset2E)))<=(singletoninpowerset)))<=(kpairp))))))<=(symdiffIneg2))<=(symdiffIneg1))))))))<=(setminusILneg))<=(setminusELneg))))<=(setminusER))<=(setminusEL))<=(setminusI))<=(bs114d))<=(binintersectSubset1))<=(binintersectSubset4)))<=(disjointsetsI1))<=(binintersectER))))<=(binintersectLsub))<=(binintersectEL)))<=(binintersectI))))<=(binunionE)))<=(binunionIR))))<=(sepSubset))<=(sepInPowerset))))<=(powersetE1))<=(powersetI1))<=(subsetemptysetimpeq))<=(setextsub))<=(subset2powerset))<=(setadjoinSub2))<=(setadjoinSub)))))<=(notequalI1))<=(notsubsetI))<=(subsetE2))<=(subsetE))<=(emptysetsubset))<=(subsetI2)))))<=(dsetconstr__Cong))))<=(omega__Cong))))<=(setadjoin__Cong)))<=(exu__Cong)))<=(in__Cong))<=(inCongP))<=(exuI2)))<=(exuI1))<=(notdallE)))))))))<=(vacuousDall))<=(emptyE1))<=(upairsetIR))))<=(singletonsswitch))<=(eqinunit)))<=(uniqinunit))<=(nonemptyImpWitness))<=(exuE2))))<=(setunionI))<=(powersetE)))))<=(setoftrueEq)))<=(setadjoinE)))<=(emptyinunitempty))))<=(nonemptyI))))<=(noeltsimpempty))))<=(exuE3e))<=(notinemptyset))<=(emptysetimpfalse))<=(emptysetE)))<=(exuE1))))))<=(wellorderingAx)))))<=(omegaSAx)))<=(setunionAx))<=(powersetAx)))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', complementSubsetComplementIntersect)).
3.02/1.19	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', powersetE)).
3.02/1.19	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setextAx)).
3.02/1.19	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', emptysetsubset)).
3.02/1.19	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subsetI2)).
3.02/1.19	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setukpairIR)).
3.02/1.19	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', omega__Cong)).
3.02/1.19	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setadjoin__Cong)).
3.02/1.19	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', kpairiskpair)).
3.02/1.19	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', in__Cong)).
3.02/1.19	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', singletonsubset)).
3.02/1.19	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', inCongP)).
3.02/1.19	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', singletoninpowunion)).
3.02/1.19	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', notdallE)).
3.02/1.19	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', vacuousDall)).
3.02/1.19	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', upairinpowunion)).
3.02/1.19	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', upairsetIR)).
3.02/1.19	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', symdiffI2)).
3.02/1.19	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', singletonsswitch)).
3.02/1.19	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', eqinunit)).
3.02/1.19	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ubforcartprodlem1)).
3.02/1.19	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', uniqinunit)).
3.02/1.19	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ubforcartprodlem3)).
3.02/1.19	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setunionI)).
3.02/1.19	thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodfstpairEq)).
3.02/1.19	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodmempair1)).
3.02/1.19	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setadjoinE)).
3.02/1.19	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', emptyinunitempty)).
3.02/1.19	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setunionsingleton1)).
3.02/1.19	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', noeltsimpempty)).
3.02/1.19	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setunionsingleton)).
3.02/1.19	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', notinemptyset)).
3.02/1.19	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', emptysetimpfalse)).
3.02/1.19	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', emptysetE)).
3.02/1.19	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', wellorderingAx)).
3.02/1.19	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', omegaSAx)).
3.02/1.19	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setunionAx)).
3.02/1.19	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', singletonsuniq)).
3.02/1.19	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', powersetAx)).
3.02/1.19	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', emptysetAx)).
3.02/1.19	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', theprop)).
3.02/1.19	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', kfstpairEq)).
3.02/1.19	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', secondinupair)).
3.02/1.19	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setukpairinjR11)).
3.02/1.19	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', upairequniteq)).
3.02/1.19	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setukpairinjR2)).
3.02/1.19	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ksndpairEq)).
3.02/1.19	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', kpairsurjEq)).
3.02/1.19	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodsndin)).
3.02/1.19	thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodmempaircEq)).
3.02/1.19	thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', doubleComplementEq)).
3.02/1.19	thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', doubleComplementSub2)).
3.02/1.19	thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodsndpairEq)).
3.02/1.19	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodpairsurjEq)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', app)).
3.02/1.19	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setukpairIL)).
3.02/1.19	thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', infuncsetfunc)).
3.02/1.19	thf(funcext2, axiom, ((funcext2)<=>![X4:$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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', funcext2)).
3.02/1.19	thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', theeq)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', iftrue)).
3.02/1.19	thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binunionT_lem)).
3.02/1.19	thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', complementT_lem)).
3.02/1.19	thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setextT)).
3.02/1.19	thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', powersetTE1)).
3.02/1.19	thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', complementTI1)).
3.02/1.19	thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', complementTE1)).
3.02/1.19	thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectTELcontra)).
3.02/1.19	thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', contrasubsetT)).
3.02/1.19	thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', contrasubsetT1)).
3.02/1.19	thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', contrasubsetT3)).
3.02/1.19	thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', doubleComplementSub1)).
3.02/1.19	thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', complementImpComplementIntersect)).
3.02/1.19	thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', complementTnotintersectT)).
3.02/1.19	thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', doubleComplementE1)).
3.02/1.19	thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', doubleComplementI1)).
3.02/1.19	thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', contrasubsetT2)).
3.02/1.19	thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectTERcontra)).
3.02/1.19	thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', powersetTI1)).
3.02/1.19	thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subsetTI)).
3.02/1.19	thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusT_lem)).
3.02/1.19	thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', powersetT_lem)).
3.02/1.19	thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectT_lem)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', iftrueorfalse)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', iffalse)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ifp)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ap2apEq2)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ap2apEq1)).
3.02/1.19	thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', funcext)).
3.02/1.19	thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', funcGraphProp4)).
3.02/1.19	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:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', funcextLem)).
3.02/1.19	thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', funcGraphProp2)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', funcGraphProp3)).
3.02/1.19	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/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', funcGraphProp1)).
3.02/1.19	thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', funcinfuncset)).
3.02/1.19	thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ap2p)).
3.02/1.19	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodpairmemER)).
3.02/1.19	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodpairmemEL)).
3.02/1.19	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setukpairinjR)).
3.02/1.19	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setukpairinjR1)).
3.02/1.19	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setukpairinjR12)).
3.02/1.19	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setukpairinjL)).
3.02/1.19	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setukpairinjL2)).
3.02/1.19	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodfstin)).
3.02/1.19	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setukpairinjL1)).
3.02/1.19	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setunionsingleton2)).
3.02/1.19	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setunionE2)).
3.02/1.19	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodmempair)).
3.02/1.19	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', cartprodpairin)).
3.02/1.19	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', ubforcartprodlem2)).
3.02/1.19	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', upairsubunion)).
3.02/1.19	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', upairset2E)).
3.02/1.19	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', singletoninpowerset)).
3.02/1.19	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', kpairp)).
3.02/1.19	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', symdiffIneg2)).
3.02/1.19	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', symdiffIneg1)).
3.02/1.19	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusILneg)).
3.02/1.19	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusELneg)).
3.02/1.19	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusER)).
3.02/1.19	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusEL)).
3.02/1.19	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusI)).
3.02/1.19	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', bs114d)).
3.02/1.19	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectSubset1)).
3.02/1.19	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectSubset4)).
3.02/1.19	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', disjointsetsI1)).
3.02/1.19	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectER)).
3.02/1.19	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectLsub)).
3.02/1.19	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectEL)).
3.02/1.19	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectI)).
3.02/1.19	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binunionE)).
3.02/1.19	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binunionIR)).
3.02/1.19	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', powersetE1)).
3.02/1.19	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', powersetI1)).
3.02/1.20	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subsetemptysetimpeq)).
3.02/1.20	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setextsub)).
3.02/1.20	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subset2powerset)).
3.02/1.20	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setadjoinSub2)).
3.02/1.20	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setadjoinSub)).
3.02/1.20	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', notequalI1)).
3.02/1.20	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', notsubsetI)).
3.02/1.20	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subsetE2)).
3.02/1.20	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subsetE)).
3.02/1.20	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', symdiffI1)).
3.02/1.20	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', symdiffE)).
3.02/1.20	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusSubset1)).
3.02/1.20	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusLsub)).
3.02/1.20	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusIRneg)).
3.02/1.20	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusERneg)).
3.02/1.20	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setminusSubset2)).
3.02/1.20	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectRsub)).
3.02/1.20	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectSubset3)).
3.02/1.20	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectSubset2)).
3.02/1.20	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binintersectSubset5)).
3.02/1.20	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binunionRsub)).
3.02/1.20	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binunionLsub)).
3.02/1.20	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binunionEcases)).
3.02/1.20	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', upairset2IR)).
3.02/1.20	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', binunionIL)).
3.02/1.20	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', powersetsubset)).
3.02/1.20	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', inPowerset)).
3.02/1.20	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subsetTrans)).
3.02/1.20	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subsetRefl)).
3.02/1.20	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', notequalI2)).
3.02/1.20	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', eqimpsubset1)).
3.02/1.20	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', eqimpsubset2)).
3.02/1.20	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subsetI1)).
3.02/1.20	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setunion__Cong)).
3.02/1.20	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', powerset__Cong)).
3.02/1.20	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', emptyset__Cong)).
3.02/1.20	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', notdexE)).
3.02/1.20	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', prop2setI)).
3.02/1.20	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', quantDeMorgan4)).
3.02/1.20	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', quantDeMorgan3)).
3.02/1.20	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', quantDeMorgan2)).
3.02/1.20	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', quantDeMorgan1)).
3.02/1.20	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', upairsetIL)).
3.02/1.20	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', upairsetE)).
3.02/1.20	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', notinsingleton)).
3.02/1.20	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', subPowSU)).
3.02/1.20	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setunionE)).
3.02/1.20	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', emptyInPowerset)).
3.02/1.20	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', emptyinPowerset)).
3.02/1.20	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', powersetI)).
3.02/1.20	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setadjoinOr)).
3.02/1.20	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setadjoinIR)).
3.02/1.20	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setadjoinIL)).
3.02/1.20	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', emptyI)).
3.02/1.20	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setext)).
3.02/1.20	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', prop2setE)).
3.02/1.20	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', foundationAx)).
3.02/1.20	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', omegaIndAx)).
3.02/1.20	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', omega0Ax)).
3.02/1.20	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.6mZYfAHo8U/E---3.1_4216.p', setadjoinAx)).
3.02/1.20	thf(c_0_254, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
3.02/1.20	thf(c_0_255, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
3.02/1.20	thf(c_0_256, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
3.02/1.20	thf(c_0_257, 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])).
3.02/1.20	thf(c_0_258, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
3.02/1.20	thf(c_0_259, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
3.02/1.20	thf(c_0_260, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
3.02/1.20	thf(c_0_261, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
3.02/1.20	thf(c_0_262, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
3.02/1.20	thf(c_0_263, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((singleton @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))))), inference(fof_simplification,[status(thm)],[ex1])).
3.02/1.20	thf(c_0_264, 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])).
3.02/1.20	thf(c_0_265, 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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
3.02/1.20	thf(c_0_266, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
3.02/1.20	thf(c_0_267, 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])).
3.02/1.20	thf(c_0_268, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
3.24/1.20	thf(c_0_269, plain, ((ex1I)<=>![X4:$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])).
3.24/1.20	thf(c_0_270, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
3.24/1.20	thf(c_0_271, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
3.24/1.20	thf(c_0_272, 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])).
3.24/1.20	thf(c_0_273, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
3.24/1.20	thf(c_0_274, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
3.24/1.20	thf(c_0_275, plain, ((replAx)<=>![X6:$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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
3.24/1.20	thf(c_0_276, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
3.24/1.20	thf(c_0_277, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X843:$i]:((((X1 @ X843))&![X844:$i]:((((X1 @ X844))=>((X843)=(X844)))))))<=>(?[X845:$i]:((((X17 @ X845))&![X846:$i]:((((X17 @ X846))=>((X845)=(X846)))))))))))), inference(apply_def,[status(thm)],[c_0_254, c_0_255])).
3.24/1.20	thf(c_0_278, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X839:$i]:((((X1 @ X839))&![X840:$i]:((((X1 @ X840))=>((X839)=(X840))))))))))), inference(apply_def,[status(thm)],[c_0_256, c_0_255])).
3.24/1.20	thf(c_0_279, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X835:$i]:((((X1 @ X835))&![X836:$i]:((((X1 @ X836))=>((X835)=(X836))))))))))), inference(apply_def,[status(thm)],[c_0_257, c_0_255])).
3.24/1.20	thf(c_0_280, plain, ((emptyE1)<=>![X4:$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])).
3.24/1.20	thf(c_0_281, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_258])).
3.24/1.20	thf(c_0_282, plain, ((exuE2)=(![X1:$i > $o]:(((?[X833:$i]:((((X1 @ X833))&![X834:$i]:((((X1 @ X834))=>((X833)=(X834)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_259, c_0_255])).
3.24/1.20	thf(c_0_283, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
3.24/1.20	thf(c_0_284, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_260, c_0_258])).
3.24/1.20	thf(c_0_285, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X831:$i]:((((X1 @ X831))&![X832:$i]:((((X1 @ X832))=>((X831)=(X832)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_261, c_0_255])).
3.24/1.20	thf(c_0_286, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:((((singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_262, c_0_263])).
3.24/1.20	thf(c_0_287, plain, ((exuE1)=(![X1:$i > $o]:(((?[X829:$i]:((((X1 @ X829))&![X830:$i]:((((X1 @ X830))=>((X829)=(X830)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_264, c_0_255])).
3.24/1.20	thf(c_0_288, plain, ((ex1I2)=(![X4:$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 */:$i]:(((X1 @ Z0)))))))))))), inference(apply_def,[status(thm)],[c_0_265, c_0_263])).
3.24/1.20	thf(c_0_289, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
3.24/1.20	thf(c_0_290, plain, ((dpsetconstrERa)<=>![X4:$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:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
3.24/1.20	thf(c_0_291, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
3.24/1.20	thf(c_0_292, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
3.24/1.20	thf(c_0_293, plain, ((funcImageSingleton)<=>![X4:$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])).
3.24/1.20	thf(c_0_294, 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])).
3.24/1.20	thf(c_0_295, 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_266])).
3.24/1.20	thf(c_0_296, 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_266])).
3.24/1.20	thf(c_0_297, 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])).
3.24/1.20	thf(c_0_298, 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])).
3.24/1.20	thf(c_0_299, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X42)&((Z0)=(X2)))|(~((X42))&((Z0)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
3.24/1.20	thf(c_0_300, plain, ((ifSingleton)<=>![X4:$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])).
3.24/1.20	thf(c_0_301, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X41)&((Z0)=(X2)))|(~((X41))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
3.24/1.20	thf(c_0_302, plain, ((iffalseProp2)<=>![X4:$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])).
3.24/1.20	thf(c_0_303, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X39)&((Z0)=(X2)))|(~((X39))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
3.24/1.20	thf(c_0_304, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0/* 247 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
3.24/1.20	thf(c_0_305, plain, ((beta2)<=>![X4:$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])).
3.24/1.20	thf(c_0_306, 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])).
3.24/1.20	thf(c_0_307, 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_266])).
3.24/1.20	thf(c_0_308, 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_267, c_0_263])).
3.24/1.20	thf(c_0_309, 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_266])).
3.24/1.20	thf(c_0_310, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
3.24/1.20	thf(c_0_311, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
3.24/1.20	thf(c_0_312, plain, ((apProp)<=>![X4:$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])).
3.24/1.20	thf(c_0_313, 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:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
3.24/1.20	thf(c_0_314, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_268, c_0_266])).
3.24/1.20	thf(c_0_315, plain, ((dpsetconstrI)<=>![X4:$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:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
3.24/1.20	thf(c_0_316, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
3.24/1.20	thf(c_0_317, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
3.24/1.20	thf(c_0_318, plain, ((ex1I)=(![X4:$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_269, c_0_263])).
3.24/1.20	thf(c_0_319, 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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
3.24/1.20	thf(c_0_320, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
3.24/1.20	thf(c_0_321, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
3.24/1.20	thf(c_0_322, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X849:$i]:((((X1 @ X849))&![X850:$i]:((((X1 @ X850))=>((X849)=(X850)))))))=>((?[X851:$i]:((((X17 @ X851))&![X852:$i]:((((X17 @ X852))=>((X851)=(X852)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_270, c_0_255])).
3.24/1.20	thf(c_0_323, plain, ((exuEu)=(![X1:$i > $o]:(((?[X847:$i]:((((X1 @ X847))&![X848:$i]:((((X1 @ X848))=>((X847)=(X848)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_271, c_0_255])).
3.24/1.20	thf(c_0_324, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X841:$i]:((((X1 @ X841))&![X842:$i]:((((X1 @ X842))=>((X841)=(X842)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_272, c_0_255])).
3.24/1.20	thf(c_0_325, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X837:$i]:((((X1 @ X837))&![X838:$i]:((((X1 @ X838))=>((X837)=(X838)))))))))))), inference(apply_def,[status(thm)],[c_0_273, c_0_255])).
3.24/1.20	thf(c_0_326, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_258])).
3.24/1.20	thf(c_0_327, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_258])).
3.24/1.20	thf(c_0_328, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
3.24/1.20	thf(c_0_329, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
3.24/1.20	thf(c_0_330, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
3.24/1.20	thf(c_0_331, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
3.24/1.20	thf(c_0_332, plain, ((descrp)=(![X1:$i > $o]:(((?[X827:$i]:((((X1 @ X827))&![X828:$i]:((((X1 @ X828))=>((X827)=(X828)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_274, c_0_255])).
3.24/1.20	thf(c_0_333, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X825:$i]:((((X6 @ X2 @ X825))&![X826:$i]:((((X6 @ X2 @ X826))=>((X825)=(X826)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_275, c_0_255])).
3.24/1.20	thf(c_0_334, plain, ((epred1_0)<=>![X1624:$i]:(?[X1625:$i]:((((![X1626:$i]:(((in @ X1626 @ X1625)=>![X1627:$i]:(((in @ X1627 @ X1626)=>(in @ X1627 @ X1624)))))&![X1628:$i, X1629:$i]:((((in @ X1628 @ X1624)&(in @ X1629 @ X1624))=>(![X1630:$i]:(((in @ X1630 @ X1625)=>((in @ X1628 @ X1630)<=>(in @ X1629 @ X1630))))=>((X1628)=(X1629))))))&![X1631:$i, X1632:$i]:((((in @ X1631 @ X1625)&(in @ X1632 @ X1625))=>(![X1633:$i]:(((in @ X1633 @ X1631)=>(in @ X1633 @ X1632)))|![X1634:$i]:(((in @ X1634 @ X1632)=>(in @ X1634 @ X1631)))))))&![X1635:$i]:(((![X1636:$i]:(((in @ X1636 @ X1635)=>(in @ X1636 @ X1624)))&?[X1637:$i]:((in @ X1637 @ X1635)))=>?[X1638:$i, X1639:$i]:(((((in @ X1638 @ X1625)&(in @ X1639 @ X1635))&~(?[X1640:$i]:(((in @ X1640 @ X1638)&(in @ X1640 @ X1635)))))&![X1641:$i]:(((in @ X1641 @ X1625)=>(![X1642:$i]:(((in @ X1642 @ X1641)=>(in @ X1642 @ X1638)))|(in @ X1639 @ X1641)))))))))))), introduced(definition)).
3.24/1.20	thf(c_0_335, negated_conjecture, ~((![X1651:$i, X1652:$i]:((![X1653:$i]:(((in @ X1653 @ X1651)<=>(in @ X1653 @ X1652)))=>((X1651)=(X1652))))=>(![X1650:$i]:(~(in @ X1650 @ emptyset))=>(![X853:$i, X854:$i, X855:$i]:(((in @ X855 @ (setadjoin @ X853 @ X854))<=>(((X855)=(X853))|(in @ X855 @ X854))))=>(![X1647:$i, X1648:$i]:(((in @ X1648 @ (powerset @ X1647))<=>![X1649:$i]:(((in @ X1649 @ X1648)=>(in @ X1649 @ X1647)))))=>(![X1644:$i, X1645:$i]:(((in @ X1645 @ (setunion @ X1644))<=>?[X1646:$i]:(((in @ X1645 @ X1646)&(in @ X1646 @ X1644)))))=>((in @ emptyset @ omega)=>(![X1643:$i]:(((in @ X1643 @ omega)=>(in @ (setadjoin @ X1643 @ X1643) @ omega)))=>(![X856:$i]:((((in @ emptyset @ X856)&![X857:$i]:((((in @ X857 @ omega)&(in @ X857 @ X856))=>(in @ (setadjoin @ X857 @ X857) @ X856))))=>![X858:$i]:(((in @ X858 @ omega)=>(in @ X858 @ X856)))))=>(![X859:$i > $i > $o, X860:$i]:((![X861:$i]:(((in @ X861 @ X860)=>?[X862:$i]:(((X859 @ X861 @ X862)&![X863:$i]:(((X859 @ X861 @ X863)=>((X862)=(X863))))))))=>?[X864:$i]:(![X865:$i]:(((in @ X865 @ X864)<=>?[X866:$i]:(((in @ X866 @ X860)&(X859 @ X866 @ X865))))))))=>(![X867:$i]:((?[X868:$i]:((in @ X868 @ X867))=>?[X869:$i]:(((in @ X869 @ X867)&~(?[X870:$i]:(((in @ X870 @ X869)&(in @ X870 @ X867))))))))=>((epred1_0)=>(![X871:$i > $o]:((?[X872:$i]:(((X871 @ X872)&![X873:$i]:(((X871 @ X873)=>((X872)=(X873))))))=>(X871 @ (descr @ (^[Z0/* 17 */:$i]:(X871 @ Z0))))))=>(![X874:$i, X875:$i > $o, X876:$i]:(((in @ X876 @ X874)=>((X875 @ X876)=>(in @ X876 @ (dsetconstr @ X874 @ X875)))))=>(![X877:$i, X878:$i > $o, X879:$i]:(((in @ X879 @ (dsetconstr @ X877 @ X878))=>(in @ X879 @ X877)))=>(![X880:$i, X881:$i > $o, X882:$i]:(((in @ X882 @ (dsetconstr @ X880 @ X881))=>(X881 @ X882)))=>(![X1619:$i > $o]:((?[X1620:$i]:(((X1619 @ X1620)&![X1621:$i]:(((X1619 @ X1621)=>((X1620)=(X1621))))))=>?[X1622:$i]:(((X1619 @ X1622)&![X1623:$i]:(((X1619 @ X1623)=>((X1622)=(X1623))))))))=>(![X883:$o, X884:$i]:(((in @ X884 @ (prop2set @ ((X883))))=>(X883)))=>(![X1617:$i]:(((in @ X1617 @ emptyset)=>![X1618:$o]:((X1618))))=>(![X1616:$i]:(((in @ X1616 @ emptyset)=>~($true)))=>(![X1615:$i]:(~(in @ X1615 @ emptyset))=>(![X1611:$i > $o]:((?[X1612:$i]:(((X1611 @ X1612)&![X1613:$i]:(((X1611 @ X1613)=>((X1612)=(X1613))))))=>?[X1614:$i]:((X1611 @ X1614))))=>(![X885:$i, X886:$i]:((![X887:$i]:(((in @ X887 @ X885)=>(in @ X887 @ X886)))=>(![X888:$i]:(((in @ X888 @ X886)=>(in @ X888 @ X885)))=>((X885)=(X886)))))=>(![X889:$i]:((![X890:$i]:(~(in @ X890 @ X889))=>((X889)=(emptyset))))=>(![X1609:$i]:((![X1610:$i]:(~(in @ X1610 @ X1609))=>((X1609)=(emptyset))))=>(![X891:$i, X892:$i > $o, X893:$i]:(((in @ X893 @ X891)=>((in @ X893 @ (dsetconstr @ X891 @ X892))<=>(X892 @ X893))))=>(![X894:$i]:((((X894)!=(emptyset))=>?[X895:$i]:((in @ X895 @ X894))))=>(![X1606:$i, X1607:$i > $o, X1608:$i]:(((in @ X1608 @ X1606)=>((X1607 @ X1608)=>((dsetconstr @ X1606 @ X1607)!=(emptyset)))))=>(![X896:$i]:((?[X897:$i]:((in @ X897 @ X896))=>((X896)!=(emptyset))))=>(![X898:$i, X899:$i]:((in @ X898 @ (setadjoin @ X898 @ X899)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X900:$i, X901:$i, X902:$i]:(((in @ X902 @ X901)=>(in @ X902 @ (setadjoin @ X900 @ X901))))=>(![X1602:$i, X1603:$i, X1604:$i]:(((in @ X1604 @ (setadjoin @ X1602 @ X1603))=>![X1605:$o]:(((((X1604)=(X1602))=>(X1605))=>(((in @ X1604 @ X1603)=>(X1605))=>(X1605))))))=>(![X903:$i, X904:$i, X905:$i]:(((in @ X905 @ (setadjoin @ X903 @ X904))=>(((X905)=(X903))|(in @ X905 @ X904))))=>(![X1601:$i]:(((dsetconstr @ X1601 @ (^[Z0/* 1 */:$i]:($true)))=(X1601)))=>(![X906:$i, X907:$i]:((![X908:$i]:(((in @ X908 @ X907)=>(in @ X908 @ X906)))=>(in @ X907 @ (powerset @ X906))))=>(![X909:$i]:((in @ emptyset @ (powerset @ X909)))=>(![X910:$i]:((in @ emptyset @ (powerset @ X910)))=>(![X1598:$i, X1599:$i, X1600:$i]:(((in @ X1599 @ (powerset @ X1598))=>((in @ X1600 @ X1599)=>(in @ X1600 @ X1598))))=>(![X1595:$i, X1596:$i, X1597:$i]:(((in @ X1596 @ X1597)=>((in @ X1597 @ X1595)=>(in @ X1596 @ (setunion @ X1595)))))=>(![X911:$i, X912:$i]:(((in @ X912 @ (setunion @ X911))=>![X913:$o]:((![X914:$i]:(((in @ X912 @ X914)=>((in @ X914 @ X911)=>(X913))))=>(X913)))))=>(![X915:$i, X916:$i]:(((in @ X916 @ X915)=>(in @ X916 @ (powerset @ (setunion @ X915)))))=>(![X1590:$i > $o]:((?[X1591:$i]:(((X1590 @ X1591)&![X1592:$i]:(((X1590 @ X1592)=>((X1591)=(X1592))))))=>?[X1593:$i]:(![X1594:$i]:(((X1590 @ X1594)<=>((X1594)=(X1593)))))))=>(![X1588:$i]:((((X1588)!=(emptyset))=>?[X1589:$i]:(((in @ X1589 @ X1588)&$true))))=>(![X1586:$i, X1587:$i]:(((in @ X1586 @ (setadjoin @ X1587 @ emptyset))=>((X1586)=(X1587))))=>(![X917:$i, X918:$i]:((((X917)!=(X918))=>~(in @ X918 @ (setadjoin @ X917 @ emptyset))))=>(![X1584:$i, X1585:$i]:((((X1584)=(X1585))=>(in @ X1584 @ (setadjoin @ X1585 @ emptyset))))=>(![X1582:$i, X1583:$i]:(((in @ X1582 @ (setadjoin @ X1583 @ emptyset))=>(in @ X1583 @ (setadjoin @ X1582 @ emptyset))))=>(![X919:$i, X920:$i, X921:$i]:(((in @ X921 @ (setadjoin @ X919 @ (setadjoin @ X920 @ emptyset)))=>(((X921)=(X919))|((X921)=(X920)))))=>(![X922:$i, X923:$i]:((in @ X922 @ (setadjoin @ X922 @ (setadjoin @ X923 @ emptyset))))=>(![X1580:$i, X1581:$i]:((in @ X1581 @ (setadjoin @ X1580 @ (setadjoin @ X1581 @ emptyset))))=>(![X1577:$i, X1578:$i > $o]:((?[X1579:$i]:(((in @ X1579 @ X1577)&(X1578 @ X1579)))=>(((dsetconstr @ X1577 @ X1578)=(emptyset))=>~($true))))=>(![X1575:$i > $o, X1576:$i]:(((in @ X1576 @ emptyset)=>(X1575 @ X1576)))=>(![X924:$i, X925:$i > $o]:((~(![X926:$i]:(((in @ X926 @ X924)=>(X925 @ X926))))=>?[X927:$i]:(((in @ X927 @ X924)&~((X925 @ X927))))))=>(![X928:$i, X929:$i > $o]:((![X930:$i]:(((in @ X930 @ X928)=>~((X929 @ X930))))=>~(?[X931:$i]:(((in @ X931 @ X928)&(X929 @ X931))))))=>(![X932:$i, X933:$i > $o]:((~(?[X934:$i]:(((in @ X934 @ X932)&(X933 @ X934))))=>![X935:$i]:(((in @ X935 @ X932)=>~((X933 @ X935))))))=>(![X936:$i, X937:$i > $o]:((?[X938:$i]:(((in @ X938 @ X936)&~((X937 @ X938))))=>~(![X939:$i]:(((in @ X939 @ X936)=>(X937 @ X939))))))=>(![X940:$o]:(((X940)=>(in @ emptyset @ (prop2set @ ((X940))))))=>((prop2set2propI)=>(![X941:$i, X942:$i > $o]:((~(?[X943:$i]:(((in @ X943 @ X941)&(X942 @ X943))))=>![X944:$i]:(((in @ X944 @ X941)=>~((X942 @ X944))))))=>(![X1571:$i, X1572:$i > $o]:((~(![X1573:$i]:(((in @ X1573 @ X1571)=>(X1572 @ X1573))))=>?[X1574:$i]:(((in @ X1574 @ X1571)&~((X1572 @ X1574))))))=>(![X1566:$i > $o]:((?[X1567:$i]:(((X1566 @ X1567)&![X1568:$i]:(((X1566 @ X1568)=>((X1567)=(X1568))))))=>?[X1569:$i]:(((X1566 @ X1569)&![X1570:$i]:(((X1566 @ X1570)=>((X1569)=(X1570))))))))=>(![X945:$i > $o]:((?[X946:$i]:((X945 @ X946))=>(![X947:$i, X948:$i]:(((X945 @ X947)=>((X945 @ X948)=>((X947)=(X948)))))=>?[X949:$i]:(((X945 @ X949)&![X950:$i]:(((X945 @ X950)=>((X949)=(X950)))))))))=>(![X1561:$i > $o]:((?[X1562:$i]:(![X1563:$i]:(((X1561 @ X1563)<=>((X1563)=(X1562)))))=>?[X1564:$i]:(((X1561 @ X1564)&![X1565:$i]:(((X1561 @ X1565)=>((X1564)=(X1565))))))))=>(![X1557:$i, 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inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[complementSubsetComplementIntersect]), powersetE]), setextAx]), emptysetsubset]), subsetI2]), setukpairIR]), c_0_276]), omega__Cong]), setadjoin__Cong]), kpairiskpair]), c_0_277]), in__Cong]), singletonsubset]), inCongP]), c_0_278]), c_0_279]), singletoninpowunion]), notdallE]), vacuousDall]), upairinpowunion]), c_0_280]), upairsetIR]), symdiffI2]), singletonsswitch]), eqinunit]), ubforcartprodlem1]), uniqinunit]), c_0_281]), ubforcartprodlem3]), c_0_282]), setunionI]), cartprodfstpairEq]), c_0_283]), cartprodmempair1]), setadjoinE]), emptyinunitempty]), setunionsingleton1]), c_0_284]), noeltsimpempty]), c_0_285]), setunionsingleton]), notinemptyset]), emptysetimpfalse]), c_0_286]), emptysetE]), c_0_287]), wellorderingAx]), c_0_288]), omegaSAx]), setunionAx]), singletonsuniq]), powersetAx]), emptysetAx]), theprop]), kfstpairEq]), secondinupair]), setukpairinjR11]), upairequniteq]), setukpairinjR2]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodmempaircEq]), doubleComplementEq]), doubleComplementSub2]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_289]), c_0_290]), c_0_291]), c_0_292]), c_0_293]), app]), setukpairIL]), infuncsetfunc]), c_0_294]), c_0_295]), c_0_296]), funcext2]), c_0_297]), c_0_298]), c_0_299]), theeq]), iftrue]), binunionT_lem]), complementT_lem]), setextT]), powersetTE1]), complementTI1]), complementTE1]), binintersectTELcontra]), contrasubsetT]), contrasubsetT1]), contrasubsetT3]), doubleComplementSub1]), complementImpComplementIntersect]), complementTnotintersectT]), doubleComplementE1]), doubleComplementI1]), contrasubsetT2]), binintersectTERcontra]), powersetTI1]), subsetTI]), setminusT_lem]), powersetT_lem]), binintersectT_lem]), iftrueorfalse]), iffalse]), ifp]), c_0_300]), c_0_301]), c_0_302]), c_0_303]), c_0_304]), c_0_305]), c_0_306]), ap2apEq2]), ap2apEq1]), funcext]), c_0_307]), funcGraphProp4]), funcextLem]), funcGraphProp2]), funcGraphProp3]), funcGraphProp1]), c_0_308]), c_0_309]), c_0_310]), c_0_311]), funcinfuncset]), ap2p]), c_0_312]), c_0_313]), c_0_314]), c_0_315]), cartprodpairmemER]), cartprodpairmemEL]), c_0_316]), setukpairinjR]), setukpairinjR1]), setukpairinjR12]), setukpairinjL]), setukpairinjL2]), cartprodfstin]), c_0_317]), setukpairinjL1]), c_0_318]), c_0_319]), setunionsingleton2]), setunionE2]), cartprodmempair]), cartprodpairin]), ubforcartprodlem2]), upairsubunion]), upairset2E]), singletoninpowerset]), kpairp]), symdiffIneg2]), symdiffIneg1]), setminusILneg]), setminusELneg]), setminusER]), setminusEL]), setminusI]), bs114d]), binintersectSubset1]), binintersectSubset4]), disjointsetsI1]), binintersectER]), binintersectLsub]), binintersectEL]), binintersectI]), binunionE]), binunionIR]), c_0_320]), c_0_321]), powersetE1]), powersetI1]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub2]), setadjoinSub]), notequalI1]), notsubsetI]), subsetE2]), subsetE]), symdiffI1]), symdiffE]), setminusSubset1]), setminusLsub]), setminusIRneg]), setminusERneg]), setminusSubset2]), binintersectRsub]), binintersectSubset3]), binintersectSubset2]), binintersectSubset5]), binunionRsub]), binunionLsub]), binunionEcases]), upairset2IR]), binunionIL]), powersetsubset]), inPowerset]), subsetTrans]), subsetRefl]), notequalI2]), eqimpsubset1]), eqimpsubset2]), subsetI1]), c_0_322]), c_0_323]), setunion__Cong]), powerset__Cong]), emptyset__Cong]), c_0_324]), c_0_325]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), upairsetIL]), upairsetE]), notinsingleton]), subPowSU]), setunionE]), emptyInPowerset]), emptyinPowerset]), powersetI]), setadjoinOr]), setadjoinIR]), setadjoinIL]), c_0_326]), c_0_327]), c_0_328]), emptyI]), setext]), prop2setE]), c_0_329]), c_0_330]), c_0_331]), c_0_332]), foundationAx]), c_0_333]), omegaIndAx]), omega0Ax]), setadjoinAx])])]), c_0_334])).
3.24/1.20	thf(c_0_336, negated_conjecture, ![X1654:$i, X1655:$i, X1657:$i, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$i, X1665:$i, X1667:$i, X1668:$i, X1670:$i, X1671:$i, X1672:$i, X1673:$i, X1674:$i, X1676:$i, X1677:$i > $i > $o, X1678:$i, X1680:$i, X1683:$i, X1685:$i, X1686:$i, X1687:$i, X1688:$i, X1690:$i, X1691:$i > $o, X1692:$i, X1694:$i, X1695:$i > $o, X1696:$i, X1697:$i, X1698:$i > $o, X1699:$i, X1700:$i, X1701:$i > $o, X1702:$i, X1703:$i > $o, X1704:$i, X1707:$i, X1708:$o, X1709:$i, X1710:$i, X1711:$o, X1712:$i, X1713:$i, X1714:$i > $o, X1715:$i, X1718:$i, X1719:$i, X1722:$i, X1724:$i, X1726:$i, X1727:$i > $o, X1728:$i, X1729:$i, X1731:$i, X1732:$i > $o, X1733:$i, X1734:$i, X1735:$i, X1736:$i, X1737:$i, X1738:$i, X1739:$i, X1740:$i, X1741:$i, X1742:$i, X1743:$i, X1744:$o, X1745:$i, X1746:$i, X1747:$i, X1748:$i, X1749:$i, X1750:$i, X1752:$i, X1753:$i, X1754:$i, X1755:$i, X1756:$i, X1757:$i, X1758:$i, X1759:$i, X1760:$i, X1761:$i, X1762:$o, X1764:$i, X1765:$i, X1766:$i > $o, X1767:$i, X1770:$i, X1771:$i, X1772:$i, X1774:$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 > $o, X1791:$i, X1792:$i > $o, X1793:$i, X1794:$i, X1795:$i > $o, X1796:$i, X1798:$i, X1799:$i > $o, X1801:$i, X1802:$i, X1803:$i > $o, X1805:$i, X1806:$i, X1807:$i > $o, X1808:$i, X1810:$o, X1811:$i, X1812:$i > $o, X1814:$i, X1815:$i, X1816:$i > $o, X1817:$i, X1819:$i > $o, X1820:$i, X1823:$i, X1824:$i > $o, X1825:$i, X1829:$i, X1830:$i > $o, X1831:$i, X1834:$i, X1835:$i, X1836:$i, X1837:$i, X1838:$i, X1839:$i, X1840:$i, X1841:$i, X1842:$i, X1843:$i > $o, X1844:$i, X1846:$i, X1847:$i, X1848:$i > $o, X1849:$i > $o, X1852:$i, X1855:$i, X1856:$i, X1859:$i, X1860:$i, X1861:$i, X1862:$i, X1863:$i, X1864:$i, X1865:$i, X1866:$i, X1867:$i, X1868:$i > $o, X1869:$i, X1871:$i, X1872:$i, X1873:$i > $o, X1874:$i > $o, X1877:$i, X1879:$i, X1881:$i, X1882:$i, X1883:$i > $o, X1884:$i > $o, X1887:$i, X1888:$i, X1890:$i, X1891:$i, X1892:$i, X1893:$i, X1894:$i, X1895:$i, X1897:$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 > $o, X1935:$i, X1936:$i > $o, X1937:$i, X1938:$i, X1939:$i, X1940:$i, X1941:$i, X1942:$i, X1943:$i, X1944:$i, X1945:$i, X1946:$i, X1947:$i, X1948:$o, X1949:$i, X1950:$i, X1951:$i, X1952:$i, X1953:$i, X1954:$i, X1955:$i, X1956:$i, X1957:$i, X1958:$i, X1959:$i, X1960:$i, X1961:$i, X1962:$i, X1963:$i, X1964:$i, X1965:$i, X1966:$i, X1967:$i, X1968:$i, X1969:$i, X1970:$i, X1971:$i, X1972:$i, X1973:$i, X1974:$i, X1975:$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:$i, X2016:$o, 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:$i, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2040:$i, X2041:$i, X2042:$i, X2043:$i, X2044:$i, X2045:$i, X2046:$i, X2047:$i, X2048:$i, X2049:$i, X2050:$i, X2051:$i, X2052:$i, X2053:$i, X2054:$i, X2055:$i, X2056:$i, X2057:$i, X2058:$i, X2059:$i, X2060:$i, X2061:$i, X2062:$i, X2063:$i, X2064:$i, X2065:$i, X2066:$i, X2067:$i, X2068:$i, X2069:$i, X2070:$i, X2071:$i, X2072:$i, X2073:$i, X2074:$i, X2075:$i, X2078:$i, X2079:$i, X2080:$i, X2081:$i, X2082:$i, X2084:$i, X2085:$i, X2086:$i, X2087:$i, X2088:$i > $o, X2091:$i, X2092:$i, X2093:$i > $o, X2095:$i, X2096:$i > $o, X2097:$i, X2099:$i, X2100:$i > $o, X2103:$i, X2104:$i, X2105:$i, X2106:$i, X2107:$i, X2108:$i, X2109:$i, X2110:$i, X2111:$i, X2112:$i, X2113:$i, X2114:$i, X2115:$i, X2116:$i, X2117:$i, X2118:$i, X2119:$i, X2120:$i, X2121:$i, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i, X2127:$i, X2128:$i, X2129:$i, X2130:$i, X2131:$i, X2132:$i, X2133:$i, X2134:$i, X2135:$i, X2136:$i, X2137:$i, X2138:$i, X2139:$i, X2140:$i, X2141:$i, X2142:$i, X2143:$i, X2144:$i, X2145:$i, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i, X2151:$i, X2152:$i, X2153:$i, X2154:$i, X2155:$i, X2156:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$i, X2162:$i, X2163:$i, X2164:$i, X2165:$i, X2166:$i, X2167:$i, X2168:$i, X2169:$i, X2170:$i, X2171:$i, X2172:$i, X2173:$i, X2174:$i, X2175:$i > $i > $o, X2176:$i, X2177:$i, X2178:$i, X2179:$i, X2180:$i > $i > $o, X2181:$i, X2182:$i, X2183:$i > $i > $o, X2184:$i, X2185:$i, X2186:$i > $i > $o, X2187:$i, X2188:$i, 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X2282))))))&(((((in @ (esk76_4 @ X2287 @ X2288 @ X2289 @ X2290) @ X2287)|((X2289)=(X2290))|(in @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ X2287)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288)))&(((in @ (esk77_4 @ X2287 @ X2288 @ X2289 @ X2290) @ X2288)|((X2289)=(X2290))|(in @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ X2287)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288)))&(((in @ (kpair @ (esk76_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk77_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2290)|((X2289)=(X2290))|(in @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ X2287)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288)))&(~(in @ (kpair @ (esk76_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk77_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2289)|((X2289)=(X2290))|(in @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ X2287)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ 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X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288))))))&((((in @ (esk76_4 @ X2287 @ X2288 @ X2289 @ X2290) @ X2287)|((X2289)=(X2290))|(in @ (kpair @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk75_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2289)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288)))&(((in @ (esk77_4 @ X2287 @ X2288 @ X2289 @ X2290) @ X2288)|((X2289)=(X2290))|(in @ (kpair @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk75_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2289)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288)))&(((in @ (kpair @ (esk76_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk77_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2290)|((X2289)=(X2290))|(in @ (kpair @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk75_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2289)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288)))&(~(in @ (kpair @ (esk76_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk77_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2289)|((X2289)=(X2290))|(in @ (kpair @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk75_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2289)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288))))))&(((in @ (esk76_4 @ X2287 @ X2288 @ X2289 @ X2290) @ X2287)|((X2289)=(X2290))|~(in @ (kpair @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk75_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2290)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288)))&(((in @ (esk77_4 @ X2287 @ X2288 @ X2289 @ X2290) @ X2288)|((X2289)=(X2290))|~(in @ (kpair @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk75_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2290)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288)))&(((in @ (kpair @ (esk76_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk77_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2290)|((X2289)=(X2290))|~(in @ (kpair @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk75_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2290)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288)))&(~(in @ (kpair @ (esk76_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk77_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2289)|((X2289)=(X2290))|~(in @ (kpair @ (esk74_4 @ X2287 @ X2288 @ X2289 @ X2290) @ (esk75_4 @ X2287 @ X2288 @ X2289 @ X2290)) @ X2290)|~(subset @ X2290 @ (cartprod @ X2287 @ X2288))|~(subset @ X2289 @ (cartprod @ X2287 @ X2288)))))))))&((((in @ (esk78_4 @ X2295 @ X2296 @ X2297 @ X2298) @ X2295)|((X2297)=(X2298))|~(func @ X2295 @ X2296 @ X2298)|~(func @ X2295 @ X2296 @ X2297))&(((ap @ X2295 @ X2296 @ X2297 @ (esk78_4 @ X2295 @ X2296 @ X2297 @ X2298))!=(ap @ X2295 @ X2296 @ X2298 @ (esk78_4 @ X2295 @ X2296 @ X2297 @ X2298)))|((X2297)=(X2298))|~(func @ X2295 @ X2296 @ X2298)|~(func @ X2295 @ X2296 @ X2297)))&((((in @ (esk79_4 @ X2300 @ X2301 @ X2302 @ X2303) @ X2300)|((X2302)=(X2303))|~(in @ X2303 @ (funcSet @ X2300 @ X2301))|~(in @ X2302 @ (funcSet @ X2300 @ X2301)))&(((ap @ X2300 @ X2301 @ X2302 @ (esk79_4 @ X2300 @ X2301 @ X2302 @ X2303))!=(ap @ X2300 @ X2301 @ X2303 @ (esk79_4 @ X2300 @ X2301 @ X2302 @ X2303)))|((X2302)=(X2303))|~(in @ X2303 @ (funcSet @ X2300 @ X2301))|~(in @ X2302 @ (funcSet @ X2300 @ X2301))))&((~(in @ X2307 @ (funcSet @ X2305 @ X2306))|(~(in @ X2308 @ X2305)|((ap @ X2305 @ X2306 @ X2307 @ X2308)=(ap @ X2305 @ X2306 @ X2307 @ X2308))))&((~(func @ X2309 @ X2310 @ X2311)|(~(in @ X2312 @ X2309)|((ap @ X2309 @ X2310 @ X2311 @ X2312)=(ap @ X2309 @ X2310 @ X2311 @ X2312))))&((((in @ (esk80_3 @ X2313 @ X2314 @ X2315) @ X2313)|(~(in @ X2317 @ X2313)|((ap @ X2313 @ X2314 @ (lam @ X2313 @ X2314 @ X2315) @ X2317)=(X2315 @ X2317))))&(~(in @ (X2315 @ (esk80_3 @ X2313 @ X2314 @ X2315)) @ X2314)|(~(in @ X2317 @ X2313)|((ap @ X2313 @ X2314 @ (lam @ X2313 @ X2314 @ X2315) @ X2317)=(X2315 @ X2317)))))&((~(func @ X2318 @ X2319 @ X2320)|((lam @ X2318 @ X2319 @ (ap @ X2318 @ X2319 @ X2320))=(X2320)))&((((in @ (esk81_3 @ X2321 @ X2322 @ X2323) @ X2321)|((lam @ X2321 @ X2322 @ X2323)=(lam @ X2321 @ X2322 @ X2323)))&(~(in @ (X2323 @ (esk81_3 @ X2321 @ X2322 @ X2323)) @ X2322)|((lam @ X2321 @ X2322 @ X2323)=(lam @ X2321 @ X2322 @ X2323))))&((((in @ (esk82_3 @ X2325 @ X2326 @ X2327) @ X2325)|(~(in @ X2329 @ X2325)|((ap @ X2325 @ X2326 @ (lam @ X2325 @ X2326 @ X2327) @ X2329)=(X2327 @ X2329))))&(~(in @ (X2327 @ (esk82_3 @ X2325 @ X2326 @ X2327)) @ X2326)|(~(in @ X2329 @ X2325)|((ap @ X2325 @ X2326 @ (lam @ X2325 @ X2326 @ X2327) @ X2329)=(X2327 @ X2329)))))&((~(in @ X2332 @ (funcSet @ X2330 @ X2331))|((lam @ X2330 @ X2331 @ (ap @ X2330 @ X2331 @ X2332))=(X2332)))&((~(in @ X2335 @ X2333)|(~(in @ X2336 @ X2333)|((X2334)|(in @ X2336 @ (dsetconstr @ X2333 @ (^[Z0/* 9 */:$i]:((((X2334)&((Z0)=(X2335)))|(~((X2334))&((Z0)=(X2336)))))))))))&((~(in @ X2339 @ X2337)|(~(in @ X2340 @ X2337)|((X2338)|((dsetconstr @ X2337 @ (^[Z0/* 9 */:$i]:((((X2338)&((Z0)=(X2339)))|(~((X2338))&((Z0)=(X2340)))))))=(setadjoin @ X2340 @ emptyset)))))&((~(in @ X2343 @ X2341)|(~(in @ X2344 @ X2341)|(~(X2342)|(in @ X2343 @ (dsetconstr @ X2341 @ (^[Z0/* 9 */:$i]:((((X2342)&((Z0)=(X2343)))|(~((X2342))&((Z0)=(X2344)))))))))))&((~(in @ X2347 @ X2345)|(~(in @ X2348 @ X2345)|(~(X2346)|((dsetconstr @ X2345 @ (^[Z0/* 9 */:$i]:((((X2346)&((Z0)=(X2347)))|(~((X2346))&((Z0)=(X2348)))))))=(setadjoin @ X2347 @ emptyset)))))&((~(in @ X2351 @ X2349)|(~(in @ X2352 @ X2349)|(singleton @ (dsetconstr @ X2349 @ (^[Z0/* 9 */:$i]:((((X2350)&((Z0)=(X2351)))|(~((X2350))&((Z0)=(X2352))))))))))&((~(in @ X2355 @ X2353)|(~(in @ X2356 @ X2353)|(in @ (if @ X2353 @ ((X2354)) @ X2355 @ X2356) @ X2353)))&((~(singleton @ X2357)|(~(in @ X2358 @ X2357)|((setunion @ X2357)=(X2358))))&((~(in @ X2361 @ X2359)|(~(in @ X2362 @ X2359)|(~(X2360)|((if @ X2359 @ ((X2360)) @ X2361 @ X2362)=(X2361)))))&((~(in @ X2365 @ X2363)|(~(in @ X2366 @ X2363)|((X2364)|((if @ X2363 @ ((X2364)) @ X2365 @ X2366)=(X2366)))))&((~(in @ X2369 @ X2367)|(~(in @ X2370 @ X2367)|(in @ (if @ X2367 @ ((X2368)) @ X2369 @ X2370) @ (setadjoin @ X2369 @ (setadjoin @ X2370 @ emptyset)))))&((~(in @ X2372 @ (powerset @ X2371))|(~(in @ X2373 @ (powerset @ X2371))|(in @ (binintersect @ X2372 @ X2373) @ (powerset @ X2371))))&((~(in @ X2375 @ (powerset @ X2374))|(~(in @ X2376 @ (powerset @ X2374))|(in @ (binunion @ X2375 @ X2376) @ (powerset @ X2374))))&((~(in @ X2378 @ (powerset @ X2377))|(in @ (powerset @ X2378) @ (powerset @ (powerset @ X2377))))&((~(in @ X2380 @ (powerset @ X2379))|(~(in @ X2381 @ (powerset @ X2379))|(in @ (setminus @ X2380 @ X2381) @ (powerset @ X2379))))&((~(in @ X2383 @ (powerset @ X2382))|(in @ (setminus @ X2382 @ X2383) @ (powerset @ X2382)))&(((((in @ (esk84_3 @ X2384 @ X2385 @ X2386) @ X2384)|((X2385)=(X2386))|(in @ (esk83_3 @ X2384 @ X2385 @ X2386) @ X2384)|~(in @ X2386 @ (powerset @ X2384))|~(in @ X2385 @ (powerset @ X2384)))&(((in @ (esk84_3 @ X2384 @ X2385 @ X2386) @ X2386)|((X2385)=(X2386))|(in @ (esk83_3 @ X2384 @ X2385 @ X2386) @ X2384)|~(in @ X2386 @ (powerset @ X2384))|~(in @ X2385 @ (powerset @ X2384)))&(~(in @ (esk84_3 @ X2384 @ X2385 @ X2386) @ X2385)|((X2385)=(X2386))|(in @ (esk83_3 @ X2384 @ X2385 @ X2386) @ X2384)|~(in @ X2386 @ (powerset @ X2384))|~(in @ X2385 @ (powerset @ X2384)))))&((((in @ (esk84_3 @ X2384 @ X2385 @ X2386) @ X2384)|((X2385)=(X2386))|(in @ (esk83_3 @ X2384 @ X2385 @ X2386) @ X2385)|~(in @ X2386 @ (powerset @ X2384))|~(in @ X2385 @ (powerset @ X2384)))&(((in @ (esk84_3 @ X2384 @ X2385 @ X2386) @ X2386)|((X2385)=(X2386))|(in @ (esk83_3 @ X2384 @ X2385 @ X2386) @ X2385)|~(in @ X2386 @ (powerset @ X2384))|~(in @ X2385 @ (powerset @ X2384)))&(~(in @ (esk84_3 @ X2384 @ X2385 @ X2386) @ X2385)|((X2385)=(X2386))|(in @ (esk83_3 @ X2384 @ X2385 @ X2386) @ X2385)|~(in @ X2386 @ (powerset @ X2384))|~(in @ X2385 @ (powerset @ X2384)))))&(((in @ (esk84_3 @ X2384 @ X2385 @ X2386) @ X2384)|((X2385)=(X2386))|~(in @ (esk83_3 @ X2384 @ X2385 @ X2386) @ X2386)|~(in @ X2386 @ (powerset @ X2384))|~(in @ X2385 @ (powerset @ X2384)))&(((in @ (esk84_3 @ X2384 @ X2385 @ X2386) @ X2386)|((X2385)=(X2386))|~(in @ (esk83_3 @ X2384 @ X2385 @ X2386) @ X2386)|~(in @ X2386 @ (powerset @ X2384))|~(in @ X2385 @ (powerset @ X2384)))&(~(in @ (esk84_3 @ X2384 @ X2385 @ X2386) @ X2385)|((X2385)=(X2386))|~(in @ (esk83_3 @ X2384 @ X2385 @ X2386) @ X2386)|~(in @ X2386 @ (powerset @ X2384))|~(in @ X2385 @ (powerset @ X2384)))))))&((((in @ (esk85_3 @ X2389 @ X2390 @ X2391) @ X2389)|(subset @ X2390 @ X2391)|~(in @ X2391 @ (powerset @ X2389))|~(in @ X2390 @ (powerset @ X2389)))&(((in @ (esk85_3 @ X2389 @ X2390 @ X2391) @ X2390)|(subset @ X2390 @ X2391)|~(in @ X2391 @ (powerset @ X2389))|~(in @ X2390 @ (powerset @ X2389)))&(~(in @ (esk85_3 @ X2389 @ X2390 @ X2391) @ X2391)|(subset @ X2390 @ X2391)|~(in @ X2391 @ (powerset @ X2389))|~(in @ X2390 @ (powerset @ X2389)))))&((((in @ (esk86_3 @ X2393 @ X2394 @ X2395) @ X2393)|(in @ X2394 @ (powerset @ X2395))|~(in @ X2395 @ (powerset @ X2393))|~(in @ X2394 @ (powerset @ X2393)))&(((in @ (esk86_3 @ X2393 @ X2394 @ X2395) @ X2394)|(in @ X2394 @ (powerset @ X2395))|~(in @ X2395 @ (powerset @ X2393))|~(in @ X2394 @ (powerset @ X2393)))&(~(in @ (esk86_3 @ X2393 @ X2394 @ X2395) @ X2395)|(in @ X2394 @ (powerset @ X2395))|~(in @ X2395 @ (powerset @ X2393))|~(in @ X2394 @ (powerset @ X2393)))))&((~(in @ X2398 @ (powerset @ X2397))|(~(in @ X2399 @ (powerset @ X2397))|(~(in @ X2400 @ X2397)|(~(in @ X2398 @ (powerset @ X2399))|(~(in @ X2400 @ X2398)|(in @ X2400 @ X2399))))))&((~(in @ X2402 @ (powerset @ X2401))|(~(in @ X2403 @ X2401)|(~(in @ X2403 @ X2402)|~(in @ X2403 @ (setminus @ X2401 @ X2402)))))&((~(in @ X2405 @ (powerset @ X2404))|(~(in @ X2406 @ X2404)|((in @ X2406 @ (setminus @ X2404 @ X2405))|(in @ X2406 @ X2405))))&((~(in @ X2408 @ (powerset @ X2407))|(~(in @ X2409 @ (powerset @ X2407))|(~(in @ X2410 @ X2407)|((in @ X2410 @ X2408)|~(in @ X2410 @ (binintersect @ X2408 @ X2409))))))&((~(in @ X2412 @ (powerset @ X2411))|(~(in @ X2413 @ (powerset @ X2411))|(~(in @ X2414 @ X2411)|((in @ X2414 @ X2413)|~(in @ X2414 @ (binintersect @ X2412 @ X2413))))))&((~(in @ X2416 @ (powerset @ X2415))|(~(in @ X2417 @ (powerset @ X2415))|(~(in @ X2418 @ X2415)|(~(subset @ X2416 @ (setminus @ X2415 @ X2417))|(~(in @ X2418 @ X2417)|~(in @ X2418 @ X2416))))))&((~(in @ X2420 @ (powerset @ X2419))|(~(in @ X2421 @ (powerset @ X2419))|(~(in @ X2422 @ X2419)|(~(subset @ X2420 @ X2421)|((in @ X2422 @ X2421)|~(in @ X2422 @ X2420))))))&((~(in @ X2424 @ (powerset @ X2423))|(~(in @ X2425 @ (powerset @ X2423))|(~(subset @ X2424 @ X2425)|(subset @ (setminus @ X2423 @ X2425) @ (setminus @ X2423 @ X2424)))))&((~(in @ X2427 @ (powerset @ X2426))|(~(in @ X2428 @ (powerset @ X2426))|(~(subset @ (setminus @ X2426 @ X2428) @ (setminus @ X2426 @ X2427))|(subset @ X2427 @ X2428))))&((~(in @ X2430 @ (powerset @ X2429))|(~(in @ X2431 @ X2429)|(~(in @ X2431 @ X2430)|(in @ X2431 @ (setminus @ X2429 @ (setminus @ X2429 @ X2430))))))&((~(in @ X2433 @ (powerset @ X2432))|(~(in @ X2434 @ X2432)|(~(in @ X2434 @ (setminus @ X2432 @ (setminus @ X2432 @ X2433)))|(in @ X2434 @ X2433))))&((~(in @ X2436 @ (powerset @ X2435))|(subset @ X2436 @ (setminus @ X2435 @ (setminus @ X2435 @ X2436))))&((~(in @ X2438 @ (powerset @ X2437))|(subset @ (setminus @ X2437 @ (setminus @ X2437 @ X2438)) @ X2438))&((~(in @ X2440 @ (powerset @ X2439))|((X2440)=(setminus @ X2439 @ (setminus @ X2439 @ X2440))))&((~(in @ X2442 @ (powerset @ X2441))|(~(in @ X2443 @ (powerset @ X2441))|(~(in @ X2444 @ X2441)|(~(in @ X2444 @ (setminus @ X2441 @ X2442))|~(in @ X2444 @ (binintersect @ X2442 @ X2443))))))&((~(in @ X2446 @ (powerset @ X2445))|(~(in @ X2447 @ (powerset @ X2445))|(~(in @ X2448 @ X2445)|(~(in @ X2448 @ (setminus @ X2445 @ X2446))|(in @ X2448 @ (setminus @ X2445 @ (binintersect @ X2446 @ X2447)))))))&((in @ esk88_0 @ (powerset @ esk87_0))&((in @ esk89_0 @ (powerset @ esk87_0))&~(subset @ (setminus @ esk87_0 @ esk88_0) @ (setminus @ esk87_0 @ (binintersect @ esk88_0 @ esk89_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_335])])])])])])])).
3.24/1.20	thf(c_0_337, negated_conjecture, ~((subset @ (setminus @ esk87_0 @ esk88_0) @ (setminus @ esk87_0 @ (binintersect @ esk88_0 @ esk89_0)))), inference(split_conjunct,[status(thm)],[c_0_336])).
3.24/1.20	thf(c_0_338, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ (setminus @ X3 @ X4) @ (setminus @ X3 @ X2))|~((in @ X2 @ (powerset @ X3)))|~((in @ X4 @ (powerset @ X3)))|~((subset @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_336])).
3.24/1.20	thf(c_0_339, negated_conjecture, (in @ esk88_0 @ (powerset @ esk87_0)), inference(split_conjunct,[status(thm)],[c_0_336])).
3.24/1.20	thf(c_0_340, negated_conjecture, ![X3:$i, X2:$i]:((subset @ (binintersect @ X2 @ X3) @ X2)), inference(split_conjunct,[status(thm)],[c_0_336])).
3.24/1.20	thf(c_0_341, negated_conjecture, ~((in @ (binintersect @ esk88_0 @ esk89_0) @ (powerset @ esk87_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337, c_0_338]), c_0_339]), c_0_340])])).
3.24/1.20	thf(c_0_342, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ (binintersect @ X2 @ X4) @ (powerset @ X3))|~((in @ X2 @ (powerset @ X3)))|~((in @ X4 @ (powerset @ X3))))), inference(split_conjunct,[status(thm)],[c_0_336])).
3.24/1.20	thf(c_0_343, negated_conjecture, (in @ esk89_0 @ (powerset @ esk87_0)), inference(split_conjunct,[status(thm)],[c_0_336])).
3.24/1.20	thf(c_0_344, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341, c_0_342]), c_0_343]), c_0_339])]), ['proof']).
3.24/1.20	# SZS output end CNFRefutation
3.24/1.20	# Parsed axioms                        : 543
3.24/1.20	# Removed by relevancy pruning/SinE    : 289
3.24/1.20	# Initial clauses                      : 434
3.24/1.20	# Removed in clause preprocessing      : 29
3.24/1.20	# Initial clauses in saturation        : 405
3.24/1.20	# Processed clauses                    : 775
3.24/1.20	# ...of these trivial                  : 10
3.24/1.20	# ...subsumed                          : 34
3.24/1.20	# ...remaining for further processing  : 731
3.24/1.20	# Other redundant clauses eliminated   : 41
3.24/1.20	# Clauses deleted for lack of memory   : 0
3.24/1.20	# Backward-subsumed                    : 2
3.24/1.20	# Backward-rewritten                   : 2
3.24/1.20	# Generated clauses                    : 9655
3.24/1.20	# ...of the previous two non-redundant : 9449
3.24/1.20	# ...aggressively subsumed             : 0
3.24/1.20	# Contextual simplify-reflections      : 5
3.24/1.20	# Paramodulations                      : 9589
3.24/1.20	# Factorizations                       : 2
3.24/1.20	# NegExts                              : 0
3.24/1.20	# Equation resolutions                 : 48
3.24/1.20	# Disequality decompositions           : 0
3.24/1.20	# Total rewrite steps                  : 233
3.24/1.20	# ...of those cached                   : 158
3.24/1.20	# Propositional unsat checks           : 0
3.24/1.20	#    Propositional check models        : 0
3.24/1.20	#    Propositional check unsatisfiable : 0
3.24/1.20	#    Propositional clauses             : 0
3.24/1.20	#    Propositional clauses after purity: 0
3.24/1.20	#    Propositional unsat core size     : 0
3.24/1.20	#    Propositional preprocessing time  : 0.000
3.24/1.20	#    Propositional encoding time       : 0.000
3.24/1.20	#    Propositional solver time         : 0.000
3.24/1.20	#    Success case prop preproc time    : 0.000
3.24/1.20	#    Success case prop encoding time   : 0.000
3.24/1.20	#    Success case prop solver time     : 0.000
3.24/1.20	# Current number of processed clauses  : 358
3.24/1.20	#    Positive orientable unit clauses  : 32
3.24/1.20	#    Positive unorientable unit clauses: 0
3.24/1.20	#    Negative unit clauses             : 6
3.24/1.20	#    Non-unit-clauses                  : 320
3.24/1.20	# Current number of unprocessed clauses: 9426
3.24/1.20	# ...number of literals in the above   : 43092
3.24/1.20	# Current number of archived formulas  : 0
3.24/1.20	# Current number of archived clauses   : 358
3.24/1.20	# Clause-clause subsumption calls (NU) : 44642
3.24/1.20	# Rec. Clause-clause subsumption calls : 14603
3.24/1.20	# Non-unit clause-clause subsumptions  : 35
3.24/1.20	# Unit Clause-clause subsumption calls : 109
3.24/1.20	# Rewrite failures with RHS unbound    : 0
3.24/1.20	# BW rewrite match attempts            : 32
3.24/1.20	# BW rewrite match successes           : 2
3.24/1.20	# Condensation attempts                : 0
3.24/1.20	# Condensation successes               : 0
3.24/1.20	# Termbank termtop insertions          : 263423
3.24/1.20	# Search garbage collected termcells   : 25967
3.24/1.20	
3.24/1.20	# -------------------------------------------------
3.24/1.20	# User time                : 0.351 s
3.24/1.20	# System time              : 0.022 s
3.24/1.20	# Total time               : 0.373 s
3.24/1.20	# Maximum resident set size: 8256 pages
3.24/1.20	
3.24/1.20	# -------------------------------------------------
3.24/1.20	# User time                : 0.367 s
3.24/1.20	# System time              : 0.027 s
3.24/1.20	# Total time               : 0.394 s
3.24/1.20	# Maximum resident set size: 2604 pages
3.24/1.20	% E---3.1 exiting
3.24/1.20	% E exiting
3.24/1.20	EOF