0.00/0.04	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.06	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.16/0.40	% Computer : n005.cluster.edu
0.16/0.40	% Model    : x86_64 x86_64
0.16/0.40	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.16/0.40	% Memory   : 8046.5625MB
0.16/0.40	% OS       : Linux 6.8.0-71-generic
0.16/0.41	% CPULimit : 1440
0.16/0.41	% WCLimit  : 180
0.16/0.41	% DateTime : Mon Jul 27 14:21:04 UTC 2026
0.16/0.41	% CPUTime  : 
0.16/0.41	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.24/0.48	Running higher-order theorem proving
0.33/0.59	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p
3.65/1.14	% Version: 3.5.1-ho
3.65/1.14	% Preprocessing class: HSLMSLSSLLLCHFA.
3.65/1.14	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
3.65/1.14	% Starting ehoh_best5 with 180s (1) cores
3.65/1.14	% Starting almost_fo_3_lam with 180s (1) cores
3.65/1.14	% Starting new_bool_5 with 180s (1) cores
3.65/1.14	% Starting pre_casc_3 with 180s (1) cores
3.65/1.14	% Starting ho_unfolding_8 with 180s (1) cores
3.65/1.14	% Starting new_ho_10_cnf2 with 180s (1) cores
3.65/1.14	% Starting new_bool_3 with 180s (1) cores
3.65/1.14	% Starting new_ho_5 with 180s (1) cores
3.65/1.14	% almost_fo_3_lam with pid 3151719 completed with status 0
3.65/1.14	% Result found by almost_fo_3_lam
3.65/1.14	% Preprocessing class: HSLMSLSSLLLCHFA.
3.65/1.14	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
3.65/1.14	% Starting ehoh_best5 with 180s (1) cores
3.65/1.14	% Starting almost_fo_3_lam with 180s (1) cores
3.65/1.14	% (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
3.65/1.14	% No SInE strategy applied
3.65/1.14	% Search class: HGHSM-FSLM32-DHFMMSBN
3.65/1.14	% partial match(1): HGHSM-FSLM32-MHFMMSBN
3.65/1.14	% Scheduled 11 strats onto 1 cores with 180 seconds (180 total)
3.65/1.14	% Starting SubtermCWHack with 17s (1) cores
3.65/1.14	% SubtermCWHack with pid 3151727 completed with status 0
3.65/1.14	% Result found by SubtermCWHack
3.65/1.14	% Preprocessing class: HSLMSLSSLLLCHFA.
3.65/1.14	% Scheduled 8 strats onto 8 cores with 180 seconds (1440 total)
3.65/1.14	% Starting ehoh_best5 with 180s (1) cores
3.65/1.14	% Starting almost_fo_3_lam with 180s (1) cores
3.65/1.14	% (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
3.65/1.14	% No SInE strategy applied
3.65/1.14	% Search class: HGHSM-FSLM32-DHFMMSBN
3.65/1.14	% partial match(1): HGHSM-FSLM32-MHFMMSBN
3.65/1.14	% Scheduled 11 strats onto 1 cores with 180 seconds (180 total)
3.65/1.14	% Starting SubtermCWHack with 17s (1) cores
3.65/1.14	% Preprocessing time       : 0.007 s
3.65/1.14	
3.65/1.14	% Proof found!
3.65/1.14	% SZS status Theorem
3.65/1.14	% SZS output start CNFRefutation
3.65/1.14	thf(decl_23, type, in: $i > $i > $o).
3.65/1.14	thf(decl_24, type, exu: ($i > $o) > $o).
3.65/1.14	thf(decl_25, type, setextAx: $o).
3.65/1.14	thf(decl_26, type, emptyset: $i).
3.65/1.14	thf(decl_27, type, emptysetAx: $o).
3.65/1.14	thf(decl_28, type, setadjoin: $i > $i > $i).
3.65/1.14	thf(decl_29, type, setadjoinAx: $o).
3.65/1.14	thf(decl_30, type, powerset: $i > $i).
3.65/1.14	thf(decl_31, type, powersetAx: $o).
3.65/1.14	thf(decl_32, type, setunion: $i > $i).
3.65/1.14	thf(decl_33, type, setunionAx: $o).
3.65/1.14	thf(decl_34, type, omega: $i).
3.65/1.14	thf(decl_35, type, omega0Ax: $o).
3.65/1.14	thf(decl_36, type, omegaSAx: $o).
3.65/1.14	thf(decl_37, type, omegaIndAx: $o).
3.65/1.14	thf(decl_38, type, replAx: $o).
3.65/1.14	thf(decl_39, type, foundationAx: $o).
3.65/1.14	thf(decl_40, type, wellorderingAx: $o).
3.65/1.14	thf(decl_41, type, descr: ($i > $o) > $i).
3.65/1.14	thf(decl_42, type, descrp: $o).
3.65/1.14	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_44, type, dsetconstrI: $o).
3.65/1.14	thf(decl_45, type, dsetconstrEL: $o).
3.65/1.14	thf(decl_46, type, dsetconstrER: $o).
3.65/1.14	thf(decl_47, type, exuE1: $o).
3.65/1.14	thf(decl_48, type, prop2set: $o > $i).
3.65/1.14	thf(decl_49, type, prop2setE: $o).
3.65/1.14	thf(decl_50, type, emptysetE: $o).
3.65/1.14	thf(decl_51, type, emptysetimpfalse: $o).
3.65/1.14	thf(decl_52, type, notinemptyset: $o).
3.65/1.14	thf(decl_53, type, exuE3e: $o).
3.65/1.14	thf(decl_54, type, setext: $o).
3.65/1.14	thf(decl_55, type, emptyI: $o).
3.65/1.14	thf(decl_56, type, noeltsimpempty: $o).
3.65/1.14	thf(decl_57, type, setbeta: $o).
3.65/1.14	thf(decl_58, type, nonempty: $i > $o).
3.65/1.14	thf(decl_59, type, nonemptyE1: $o).
3.65/1.14	thf(decl_60, type, nonemptyI: $o).
3.65/1.14	thf(decl_61, type, nonemptyI1: $o).
3.65/1.14	thf(decl_62, type, setadjoinIL: $o).
3.65/1.14	thf(decl_63, type, emptyinunitempty: $o).
3.65/1.14	thf(decl_64, type, setadjoinIR: $o).
3.65/1.14	thf(decl_65, type, setadjoinE: $o).
3.65/1.14	thf(decl_66, type, setadjoinOr: $o).
3.65/1.14	thf(decl_67, type, setoftrueEq: $o).
3.65/1.14	thf(decl_68, type, powersetI: $o).
3.65/1.14	thf(decl_69, type, emptyinPowerset: $o).
3.65/1.14	thf(decl_70, type, emptyInPowerset: $o).
3.65/1.14	thf(decl_71, type, powersetE: $o).
3.65/1.14	thf(decl_72, type, setunionI: $o).
3.65/1.14	thf(decl_73, type, setunionE: $o).
3.65/1.14	thf(decl_74, type, subPowSU: $o).
3.65/1.14	thf(decl_75, type, exuE2: $o).
3.65/1.14	thf(decl_76, type, nonemptyImpWitness: $o).
3.65/1.14	thf(decl_77, type, uniqinunit: $o).
3.65/1.14	thf(decl_78, type, notinsingleton: $o).
3.65/1.14	thf(decl_79, type, eqinunit: $o).
3.65/1.14	thf(decl_80, type, singletonsswitch: $o).
3.65/1.14	thf(decl_81, type, upairsetE: $o).
3.65/1.14	thf(decl_82, type, upairsetIL: $o).
3.65/1.14	thf(decl_83, type, upairsetIR: $o).
3.65/1.14	thf(decl_84, type, emptyE1: $o).
3.65/1.14	thf(decl_85, type, vacuousDall: $o).
3.65/1.14	thf(decl_86, type, quantDeMorgan1: $o).
3.65/1.14	thf(decl_87, type, quantDeMorgan2: $o).
3.65/1.14	thf(decl_88, type, quantDeMorgan3: $o).
3.65/1.14	thf(decl_89, type, quantDeMorgan4: $o).
3.65/1.14	thf(decl_90, type, prop2setI: $o).
3.65/1.14	thf(decl_91, type, set2prop: $i > $o).
3.65/1.14	thf(decl_92, type, prop2set2propI: $o).
3.65/1.14	thf(decl_93, type, notdexE: $o).
3.65/1.14	thf(decl_94, type, notdallE: $o).
3.65/1.14	thf(decl_95, type, exuI1: $o).
3.65/1.14	thf(decl_96, type, exuI3: $o).
3.65/1.14	thf(decl_97, type, exuI2: $o).
3.65/1.14	thf(decl_98, type, inCongP: $o).
3.65/1.14	thf(decl_99, type, in__Cong: $o).
3.65/1.14	thf(decl_100, type, exuE3u: $o).
3.65/1.14	thf(decl_101, type, exu__Cong: $o).
3.65/1.14	thf(decl_102, type, emptyset__Cong: $o).
3.65/1.14	thf(decl_103, type, setadjoin__Cong: $o).
3.65/1.14	thf(decl_104, type, powerset__Cong: $o).
3.65/1.14	thf(decl_105, type, setunion__Cong: $o).
3.65/1.14	thf(decl_106, type, omega__Cong: $o).
3.65/1.14	thf(decl_107, type, exuEu: $o).
3.65/1.14	thf(decl_108, type, descr__Cong: $o).
3.65/1.14	thf(decl_109, type, dsetconstr__Cong: $o).
3.65/1.14	thf(decl_110, type, subset: $i > $i > $o).
3.65/1.14	thf(decl_113, type, subsetI1: $o).
3.65/1.14	thf(decl_114, type, eqimpsubset2: $o).
3.65/1.14	thf(decl_115, type, eqimpsubset1: $o).
3.65/1.14	thf(decl_116, type, subsetI2: $o).
3.65/1.14	thf(decl_117, type, emptysetsubset: $o).
3.65/1.14	thf(decl_118, type, subsetE: $o).
3.65/1.14	thf(decl_119, type, subsetE2: $o).
3.65/1.14	thf(decl_120, type, notsubsetI: $o).
3.65/1.14	thf(decl_121, type, notequalI1: $o).
3.65/1.14	thf(decl_122, type, notequalI2: $o).
3.65/1.14	thf(decl_123, type, subsetRefl: $o).
3.65/1.14	thf(decl_124, type, subsetTrans: $o).
3.65/1.14	thf(decl_125, type, setadjoinSub: $o).
3.65/1.14	thf(decl_126, type, setadjoinSub2: $o).
3.65/1.14	thf(decl_127, type, subset2powerset: $o).
3.65/1.14	thf(decl_128, type, setextsub: $o).
3.65/1.14	thf(decl_129, type, subsetemptysetimpeq: $o).
3.65/1.14	thf(decl_130, type, powersetI1: $o).
3.65/1.14	thf(decl_131, type, powersetE1: $o).
3.65/1.14	thf(decl_132, type, inPowerset: $o).
3.65/1.14	thf(decl_133, type, powersetsubset: $o).
3.65/1.14	thf(decl_134, type, sepInPowerset: $o).
3.65/1.14	thf(decl_135, type, sepSubset: $o).
3.65/1.14	thf(decl_136, type, binunion: $i > $i > $i).
3.65/1.14	thf(decl_137, type, binunionIL: $o).
3.65/1.14	thf(decl_138, type, upairset2IR: $o).
3.65/1.14	thf(decl_139, type, binunionIR: $o).
3.65/1.14	thf(decl_140, type, binunionEcases: $o).
3.65/1.14	thf(decl_141, type, binunionE: $o).
3.65/1.14	thf(decl_142, type, binunionLsub: $o).
3.65/1.14	thf(decl_143, type, binunionRsub: $o).
3.65/1.14	thf(decl_144, type, binintersect: $i > $i > $i).
3.65/1.14	thf(decl_145, type, binintersectI: $o).
3.65/1.14	thf(decl_146, type, binintersectSubset5: $o).
3.65/1.14	thf(decl_147, type, binintersectEL: $o).
3.65/1.14	thf(decl_148, type, binintersectLsub: $o).
3.65/1.14	thf(decl_149, type, binintersectSubset2: $o).
3.65/1.14	thf(decl_150, type, binintersectSubset3: $o).
3.65/1.14	thf(decl_151, type, binintersectER: $o).
3.65/1.14	thf(decl_152, type, disjointsetsI1: $o).
3.65/1.14	thf(decl_153, type, binintersectRsub: $o).
3.65/1.14	thf(decl_154, type, binintersectSubset4: $o).
3.65/1.14	thf(decl_155, type, binintersectSubset1: $o).
3.65/1.14	thf(decl_156, type, bs114d: $o).
3.65/1.14	thf(decl_158, type, setminus: $i > $i > $i).
3.65/1.14	thf(decl_159, type, setminusI: $o).
3.65/1.14	thf(decl_160, type, setminusEL: $o).
3.65/1.14	thf(decl_161, type, setminusER: $o).
3.65/1.14	thf(decl_162, type, setminusSubset2: $o).
3.65/1.14	thf(decl_163, type, setminusERneg: $o).
3.65/1.14	thf(decl_164, type, setminusELneg: $o).
3.65/1.14	thf(decl_165, type, setminusILneg: $o).
3.65/1.14	thf(decl_166, type, setminusIRneg: $o).
3.65/1.14	thf(decl_167, type, setminusLsub: $o).
3.65/1.14	thf(decl_168, type, setminusSubset1: $o).
3.65/1.14	thf(decl_169, type, symdiff: $i > $i > $i).
3.65/1.14	thf(decl_170, type, symdiffE: $o).
3.65/1.14	thf(decl_171, type, symdiffI1: $o).
3.65/1.14	thf(decl_172, type, symdiffI2: $o).
3.65/1.14	thf(decl_173, type, symdiffIneg1: $o).
3.65/1.14	thf(decl_174, type, symdiffIneg2: $o).
3.65/1.14	thf(decl_175, type, iskpair: $i > $o).
3.65/1.14	thf(decl_176, type, secondinupair: $o).
3.65/1.14	thf(decl_177, type, setukpairIL: $o).
3.65/1.14	thf(decl_178, type, setukpairIR: $o).
3.65/1.14	thf(decl_179, type, kpairiskpair: $o).
3.65/1.14	thf(decl_180, type, kpair: $i > $i > $i).
3.65/1.14	thf(decl_181, type, kpairp: $o).
3.65/1.14	thf(decl_182, type, cartprod: $i > $i > $i).
3.65/1.14	thf(decl_183, type, singletonsubset: $o).
3.65/1.14	thf(decl_184, type, singletoninpowerset: $o).
3.65/1.14	thf(decl_185, type, singletoninpowunion: $o).
3.65/1.14	thf(decl_186, type, upairset2E: $o).
3.65/1.14	thf(decl_187, type, upairsubunion: $o).
3.65/1.14	thf(decl_188, type, upairinpowunion: $o).
3.65/1.14	thf(decl_189, type, ubforcartprodlem1: $o).
3.65/1.14	thf(decl_190, type, ubforcartprodlem2: $o).
3.65/1.14	thf(decl_191, type, ubforcartprodlem3: $o).
3.65/1.14	thf(decl_192, type, cartprodpairin: $o).
3.65/1.14	thf(decl_193, type, cartprodmempair1: $o).
3.65/1.14	thf(decl_194, type, cartprodmempair: $o).
3.65/1.14	thf(decl_195, type, setunionE2: $o).
3.65/1.14	thf(decl_196, type, setunionsingleton1: $o).
3.65/1.14	thf(decl_197, type, setunionsingleton2: $o).
3.65/1.14	thf(decl_198, type, setunionsingleton: $o).
3.65/1.14	thf(decl_199, type, singleton: $i > $o).
3.65/1.14	thf(decl_200, type, singletonprop: $o).
3.65/1.14	thf(decl_201, type, ex1: $i > ($i > $o) > $o).
3.65/1.14	thf(decl_202, type, ex1E1: $o).
3.65/1.14	thf(decl_203, type, ex1I: $o).
3.65/1.14	thf(decl_204, type, ex1I2: $o).
3.65/1.14	thf(decl_205, type, singletonsuniq: $o).
3.65/1.14	thf(decl_210, type, setukpairinjL1: $o).
3.65/1.14	thf(decl_211, type, kfstsingleton: $o).
3.65/1.14	thf(decl_212, type, theprop: $o).
3.65/1.14	thf(decl_213, type, kfst: $i > $i).
3.65/1.14	thf(decl_214, type, kfstpairEq: $o).
3.65/1.14	thf(decl_215, type, cartprodfstin: $o).
3.65/1.14	thf(decl_216, type, setukpairinjL2: $o).
3.65/1.14	thf(decl_217, type, setukpairinjL: $o).
3.65/1.14	thf(decl_218, type, setukpairinjR11: $o).
3.65/1.14	thf(decl_219, type, setukpairinjR12: $o).
3.65/1.14	thf(decl_220, type, setukpairinjR1: $o).
3.65/1.14	thf(decl_221, type, upairequniteq: $o).
3.65/1.14	thf(decl_222, type, setukpairinjR2: $o).
3.65/1.14	thf(decl_223, type, setukpairinjR: $o).
3.65/1.14	thf(decl_224, type, ksndsingleton: $o).
3.65/1.14	thf(decl_225, type, ksnd: $i > $i).
3.65/1.14	thf(decl_226, type, ksndpairEq: $o).
3.65/1.14	thf(decl_227, type, kpairsurjEq: $o).
3.65/1.14	thf(decl_228, type, cartprodsndin: $o).
3.65/1.14	thf(decl_229, type, cartprodpairmemEL: $o).
3.65/1.14	thf(decl_230, type, cartprodpairmemER: $o).
3.65/1.14	thf(decl_231, type, cartprodmempaircEq: $o).
3.65/1.14	thf(decl_232, type, cartprodfstpairEq: $o).
3.65/1.14	thf(decl_233, type, cartprodsndpairEq: $o).
3.65/1.14	thf(decl_234, type, cartprodpairsurjEq: $o).
3.65/1.14	thf(decl_235, type, breln: $i > $i > $i > $o).
3.65/1.14	thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
3.65/1.14	thf(decl_237, type, dpsetconstrI: $o).
3.65/1.14	thf(decl_238, type, dpsetconstrSub: $o).
3.65/1.14	thf(decl_239, type, setOfPairsIsBReln: $o).
3.65/1.14	thf(decl_240, type, dpsetconstrERa: $o).
3.65/1.14	thf(decl_241, type, dpsetconstrEL1: $o).
3.65/1.14	thf(decl_242, type, dpsetconstrEL2: $o).
3.65/1.14	thf(decl_243, type, dpsetconstrER: $o).
3.65/1.14	thf(decl_244, type, func: $i > $i > $i > $o).
3.65/1.14	thf(decl_245, type, funcSet: $i > $i > $i).
3.65/1.14	thf(decl_246, type, funcImageSingleton: $o).
3.65/1.14	thf(decl_247, type, apProp: $o).
3.65/1.14	thf(decl_248, type, ap: $i > $i > $i > $i > $i).
3.65/1.14	thf(decl_249, type, app: $o).
3.65/1.14	thf(decl_250, type, infuncsetfunc: $o).
3.65/1.14	thf(decl_251, type, ap2p: $o).
3.65/1.14	thf(decl_252, type, funcinfuncset: $o).
3.65/1.14	thf(decl_253, type, lamProp: $o).
3.65/1.14	thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
3.65/1.14	thf(decl_255, type, lamp: $o).
3.65/1.14	thf(decl_256, type, lam2p: $o).
3.65/1.14	thf(decl_257, type, brelnall1: $o).
3.65/1.14	thf(decl_258, type, brelnall2: $o).
3.65/1.14	thf(decl_259, type, ex1E2: $o).
3.65/1.14	thf(decl_260, type, funcGraphProp1: $o).
3.65/1.14	thf(decl_261, type, funcGraphProp3: $o).
3.65/1.14	thf(decl_262, type, funcGraphProp2: $o).
3.65/1.14	thf(decl_263, type, funcextLem: $o).
3.65/1.14	thf(decl_264, type, funcGraphProp4: $o).
3.65/1.14	thf(decl_265, type, subbreln: $o).
3.65/1.14	thf(decl_266, type, eqbreln: $o).
3.65/1.14	thf(decl_267, type, funcext: $o).
3.65/1.14	thf(decl_268, type, funcext2: $o).
3.65/1.14	thf(decl_269, type, ap2apEq1: $o).
3.65/1.14	thf(decl_270, type, ap2apEq2: $o).
3.65/1.14	thf(decl_271, type, beta1: $o).
3.65/1.14	thf(decl_272, type, eta1: $o).
3.65/1.14	thf(decl_273, type, lam2lamEq: $o).
3.65/1.14	thf(decl_274, type, beta2: $o).
3.65/1.14	thf(decl_275, type, eta2: $o).
3.65/1.14	thf(decl_276, type, iffalseProp1: $o).
3.65/1.14	thf(decl_277, type, iffalseProp2: $o).
3.65/1.14	thf(decl_278, type, iftrueProp1: $o).
3.65/1.14	thf(decl_279, type, iftrueProp2: $o).
3.65/1.14	thf(decl_280, type, ifSingleton: $o).
3.65/1.14	thf(decl_281, type, if: $i > $o > $i > $i > $i).
3.65/1.14	thf(decl_282, type, ifp: $o).
3.65/1.14	thf(decl_283, type, theeq: $o).
3.65/1.14	thf(decl_284, type, iftrue: $o).
3.65/1.14	thf(decl_285, type, iffalse: $o).
3.65/1.14	thf(decl_286, type, iftrueorfalse: $o).
3.65/1.14	thf(decl_287, type, binintersectT_lem: $o).
3.65/1.14	thf(decl_288, type, binunionT_lem: $o).
3.65/1.14	thf(decl_289, type, powersetT_lem: $o).
3.65/1.14	thf(decl_290, type, setminusT_lem: $o).
3.65/1.14	thf(decl_291, type, complementT_lem: $o).
3.65/1.14	thf(decl_292, type, setextT: $o).
3.65/1.14	thf(decl_293, type, subsetTI: $o).
3.65/1.14	thf(decl_294, type, powersetTI1: $o).
3.65/1.14	thf(decl_295, type, powersetTE1: $o).
3.65/1.14	thf(decl_296, type, complementTI1: $o).
3.65/1.14	thf(decl_297, type, complementTE1: $o).
3.65/1.14	thf(decl_298, type, binintersectTELcontra: $o).
3.65/1.14	thf(decl_299, type, binintersectTERcontra: $o).
3.65/1.14	thf(decl_300, type, contrasubsetT: $o).
3.65/1.14	thf(decl_301, type, contrasubsetT1: $o).
3.65/1.14	thf(decl_302, type, contrasubsetT2: $o).
3.65/1.14	thf(decl_303, type, contrasubsetT3: $o).
3.65/1.14	thf(decl_304, type, doubleComplementI1: $o).
3.65/1.14	thf(decl_305, type, doubleComplementE1: $o).
3.65/1.14	thf(decl_306, type, doubleComplementSub1: $o).
3.65/1.14	thf(decl_307, type, doubleComplementSub2: $o).
3.65/1.14	thf(decl_308, type, doubleComplementEq: $o).
3.65/1.14	thf(decl_309, type, complementTnotintersectT: $o).
3.65/1.14	thf(decl_310, type, complementImpComplementIntersect: $o).
3.65/1.14	thf(decl_311, type, complementSubsetComplementIntersect: $o).
3.65/1.14	thf(decl_312, type, complementInPowersetComplementIntersect: $o).
3.65/1.14	thf(decl_313, type, contraSubsetComplement: $o).
3.65/1.14	thf(decl_314, type, complementTcontraSubset: $o).
3.65/1.14	thf(decl_315, type, binunionTILcontra: $o).
3.65/1.14	thf(decl_316, type, binunionTIRcontra: $o).
3.65/1.14	thf(decl_317, type, inIntersectImpInUnion: $o).
3.65/1.14	thf(decl_318, type, inIntersectImpInUnion2: $o).
3.65/1.14	thf(decl_319, type, inIntersectImpInIntersectUnions: $o).
3.65/1.14	thf(decl_320, type, intersectInPowersetIntersectUnions: $o).
3.65/1.14	thf(decl_321, type, inComplementUnionImpNotIn1: $o).
3.65/1.14	thf(decl_322, type, inComplementUnionImpInComplement1: $o).
3.65/1.14	thf(decl_323, type, binunionTE: $o).
3.65/1.14	thf(decl_324, type, binunionTEcontra: $o).
3.65/1.14	thf(decl_325, type, demorgan2a1: $o).
3.65/1.14	thf(decl_326, type, complementUnionInPowersetComplement: $o).
3.65/1.14	thf(decl_327, type, demorgan2a2: $o).
3.65/1.14	thf(decl_328, type, demorgan1a: $o).
3.65/1.14	thf(decl_329, type, demorgan1b: $o).
3.65/1.14	thf(decl_330, type, demorgan1: $o).
3.65/1.14	thf(decl_331, type, demorgan2a: $o).
3.65/1.14	thf(decl_332, type, demorgan2b2: $o).
3.65/1.14	thf(decl_333, type, demorgan2b: $o).
3.65/1.14	thf(decl_334, type, demorgan2: $o).
3.65/1.14	thf(decl_335, type, woz13rule0: $o).
3.65/1.14	thf(decl_336, type, woz13rule1: $o).
3.65/1.14	thf(decl_337, type, woz13rule2: $o).
3.65/1.14	thf(decl_338, type, woz13rule3: $o).
3.65/1.14	thf(decl_339, type, woz13rule4: $o).
3.65/1.14	thf(decl_340, type, woz1_1: $o).
3.65/1.14	thf(decl_341, type, woz1_2: $o).
3.65/1.14	thf(decl_342, type, woz1_3: $o).
3.65/1.14	thf(decl_343, type, woz1_4: $o).
3.65/1.14	thf(decl_344, type, woz1_5: $o).
3.65/1.14	thf(decl_345, type, breln1: $i > $i > $o).
3.65/1.14	thf(decl_346, type, breln1all2: $o).
3.65/1.14	thf(decl_347, type, breln1Set: $i > $i).
3.65/1.14	thf(decl_348, type, breln1SetBreln1: $o).
3.65/1.14	thf(decl_354, type, reflwellordering: $i > $i > $o).
3.65/1.14	thf(decl_355, type, choice2fnsingleton: $o).
3.65/1.14	thf(decl_356, type, setOfPairsIsBReln1: $o).
3.65/1.14	thf(decl_357, type, breln1all1: $o).
3.65/1.14	thf(decl_358, type, epred1_0: $o).
3.65/1.14	thf(decl_359, type, esk1_2: $i > $i > $i).
3.65/1.14	thf(decl_360, type, esk2_2: $i > $i > $i).
3.65/1.14	thf(decl_361, type, esk3_2: $i > $i > $i).
3.65/1.14	thf(decl_362, type, esk4_1: $i > $i).
3.65/1.14	thf(decl_363, type, esk5_2: ($i > $i > $o) > $i > $i).
3.65/1.14	thf(decl_364, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
3.65/1.14	thf(decl_365, type, esk7_2: ($i > $i > $o) > $i > $i).
3.65/1.14	thf(decl_366, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
3.65/1.14	thf(decl_367, type, esk9_1: $i > $i).
3.65/1.14	thf(decl_368, type, esk10_2: ($i > $o) > $i > $i).
3.65/1.14	thf(decl_369, type, esk11_2: ($i > $o) > $i > $i).
3.65/1.14	thf(decl_370, type, esk12_1: ($i > $o) > $i).
3.65/1.14	thf(decl_371, type, esk13_2: ($i > $o) > $i > $i).
3.65/1.14	thf(decl_372, type, esk14_1: ($i > $o) > $i).
3.65/1.14	thf(decl_373, type, esk15_2: $i > $i > $i).
3.65/1.14	thf(decl_374, type, esk16_2: $i > $i > $i).
3.65/1.14	thf(decl_375, type, esk17_1: $i > $i).
3.65/1.14	thf(decl_376, type, esk18_1: $i > $i).
3.65/1.14	thf(decl_377, type, esk19_1: $i > $i).
3.65/1.14	thf(decl_378, type, esk20_2: $i > $i > $i).
3.65/1.14	thf(decl_379, type, esk21_3: $i > $i > $o > $i).
3.65/1.14	thf(decl_380, type, esk22_2: ($i > $o) > $i > $i).
3.65/1.14	thf(decl_381, type, esk23_1: ($i > $o) > $i).
3.65/1.14	thf(decl_382, type, esk24_1: $i > $i).
3.65/1.14	thf(decl_383, type, esk25_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_384, type, esk26_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_385, type, esk27_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_386, type, esk28_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_387, type, esk29_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_388, type, esk30_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_389, type, esk31_2: ($i > $o) > $i > $i).
3.65/1.14	thf(decl_390, type, esk32_1: ($i > $o) > $i).
3.65/1.14	thf(decl_391, type, esk33_1: ($i > $o) > $i).
3.65/1.14	thf(decl_392, type, esk34_1: ($i > $o) > $i).
3.65/1.14	thf(decl_393, type, esk35_1: ($i > $o) > $i).
3.65/1.14	thf(decl_394, type, esk36_2: ($i > $o) > $i > $i).
3.65/1.14	thf(decl_395, type, esk37_1: ($i > $o) > $i).
3.65/1.14	thf(decl_396, type, esk38_2: ($i > $o) > $i > $i).
3.65/1.14	thf(decl_397, type, esk39_2: ($i > $o) > ($i > $o) > $i).
3.65/1.14	thf(decl_398, type, esk40_2: ($i > $o) > ($i > $o) > $i).
3.65/1.14	thf(decl_399, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
3.65/1.14	thf(decl_400, type, esk42_2: ($i > $o) > ($i > $o) > $i).
3.65/1.14	thf(decl_401, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
3.65/1.14	thf(decl_402, type, esk44_2: ($i > $o) > ($i > $o) > $i).
3.65/1.14	thf(decl_403, type, esk45_2: ($i > $o) > $i > $i).
3.65/1.14	thf(decl_404, type, esk46_2: ($i > $o) > ($i > $o) > $i).
3.65/1.14	thf(decl_405, type, esk47_2: ($i > $o) > ($i > $o) > $i).
3.65/1.14	thf(decl_406, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
3.65/1.14	thf(decl_407, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
3.65/1.14	thf(decl_408, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
3.65/1.14	thf(decl_409, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
3.65/1.14	thf(decl_410, type, esk52_2: $i > $i > $i).
3.65/1.14	thf(decl_411, type, esk53_2: $i > $i > $i).
3.65/1.14	thf(decl_412, type, esk54_2: $i > $i > $i).
3.65/1.14	thf(decl_413, type, esk55_3: $i > $i > $i > $i).
3.65/1.14	thf(decl_414, type, esk56_3: $i > $i > $i > $i).
3.65/1.14	thf(decl_415, type, esk57_2: $i > $i > $i).
3.65/1.14	thf(decl_416, type, esk58_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_417, type, esk59_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_418, type, esk60_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_419, type, esk61_3: $i > ($i > $o) > $i > $i).
3.65/1.14	thf(decl_420, type, esk62_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_421, type, esk63_2: $i > ($i > $o) > $i).
3.65/1.14	thf(decl_422, type, esk64_3: $i > $i > ($i > $i) > $i).
3.65/1.14	thf(decl_423, type, esk65_3: $i > $i > ($i > $i) > $i).
3.65/1.14	thf(decl_424, type, esk66_3: $i > $i > ($i > $i) > $i).
3.65/1.14	thf(decl_425, type, esk67_4: $i > $i > $i > ($i > $o) > $i).
3.65/1.14	thf(decl_426, type, esk68_4: $i > $i > $i > ($i > $o) > $i).
3.65/1.14	thf(decl_427, type, esk69_4: $i > $i > $i > ($i > $o) > $i).
3.65/1.14	thf(decl_428, type, esk70_4: $i > $i > $i > ($i > $o) > $i).
3.65/1.14	thf(decl_429, type, esk71_4: $i > $i > $i > $i > $i).
3.65/1.14	thf(decl_430, type, esk72_4: $i > $i > $i > $i > $i).
3.65/1.14	thf(decl_431, type, esk73_4: $i > $i > $i > $i > $i).
3.65/1.14	thf(decl_432, type, esk74_4: $i > $i > $i > $i > $i).
3.65/1.14	thf(decl_433, type, esk75_4: $i > $i > $i > $i > $i).
3.65/1.14	thf(decl_434, type, esk76_4: $i > $i > $i > $i > $i).
3.65/1.14	thf(decl_435, type, esk77_4: $i > $i > $i > $i > $i).
3.65/1.14	thf(decl_436, type, esk78_4: $i > $i > $i > $i > $i).
3.65/1.14	thf(decl_437, type, esk79_4: $i > $i > $i > $i > $i).
3.65/1.14	thf(decl_438, type, esk80_3: $i > $i > ($i > $i) > $i).
3.65/1.14	thf(decl_439, type, esk81_3: $i > $i > ($i > $i) > $i).
3.65/1.14	thf(decl_440, type, esk82_3: $i > $i > ($i > $i) > $i).
3.65/1.14	thf(decl_441, type, esk83_3: $i > $i > $i > $i).
3.65/1.14	thf(decl_442, type, esk84_3: $i > $i > $i > $i).
3.65/1.14	thf(decl_443, type, esk85_3: $i > $i > $i > $i).
3.65/1.14	thf(decl_444, type, esk86_3: $i > $i > $i > $i).
3.65/1.14	thf(decl_445, type, esk87_3: $i > $i > ($i > $o) > $i).
3.65/1.14	thf(decl_446, type, esk88_3: $i > $i > ($i > $o) > $i).
3.65/1.14	thf(decl_447, type, esk89_3: $i > $i > ($i > $i > $o) > $i).
3.65/1.14	thf(decl_448, type, esk90_3: $i > $i > ($i > $o) > $i).
3.65/1.14	thf(decl_449, type, esk91_3: $i > $i > ($i > $o) > $i).
3.65/1.14	thf(decl_450, type, esk92_0: $i).
3.65/1.14	thf(decl_451, type, esk93_0: $i).
3.65/1.14	thf(decl_452, type, esk94_0: $i).
3.65/1.14	thf(breln1, axiom, ((breln1)=(^[X4:$i, X33:$i]:((breln @ X4 @ X4 @ X33)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', breln1)).
3.65/1.14	thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', breln)).
3.65/1.14	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', replAx)).
3.65/1.14	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', exu)).
3.65/1.14	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', descrp)).
3.65/1.14	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', exuE1)).
3.65/1.14	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', exuE3e)).
3.65/1.14	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', nonempty)).
3.65/1.14	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', nonemptyI)).
3.65/1.14	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', exuE2)).
3.65/1.14	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', exuI1)).
3.65/1.14	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', exuI3)).
3.65/1.14	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', exuI2)).
3.65/1.14	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', exuE3u)).
3.65/1.14	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', exu__Cong)).
3.65/1.14	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', exuEu)).
3.65/1.14	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', descr__Cong)).
3.65/1.14	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setOfPairsIsBReln)).
3.65/1.14	thf(setOfPairsIsBReln1, axiom, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[X2:$i, X3:$i]:((X53 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setOfPairsIsBReln1)).
3.65/1.14	thf(subbreln1, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>(((setunionAx)=>(((omegaSAx)=>(((((wellorderingAx)=>((((dsetconstrEL)=>(((exuE1)=>((prop2setE)=>((emptysetE)=>((((exuE3e)=>(((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>(((nonemptyI1)=>((((((setadjoinOr)=>(((powersetI)=>((((((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>(((notinsingleton)=>(((singletonsswitch)=>((((upairsetIR)=>(((vacuousDall)=>(((quantDeMorgan2)=>(((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>(((exuI3)=>((exuI2)=>(((((exu__Cong)=>(((((setunion__Cong)=>(((exuEu)=>(((dsetconstr__Cong)=>((((eqimpsubset1)=>((subsetI2)=>((((subsetE2)=>(((notequalI1)=>((notequalI2)=>(((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>(((((powersetsubset)=>((((binunionIL)=>((upairset2IR)=>((((binunionE)=>((((binintersectI)=>(((binintersectEL)=>((((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>(((setminusERneg)=>(((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>(((symdiffI1)=>(((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>(((kpairp)=>((((((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>(((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>(((ex1E1)=>(((ex1I2)=>((((kfstsingleton)=>((((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>(((upairequniteq)=>((((ksndsingleton)=>((((cartprodsndin)=>((((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((((dpsetconstrSub)=>(((((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>(((app)=>((infuncsetfunc)=>((((lamProp)=>((lamp)=>((lam2p)=>(((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>(((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((((((ap2apEq2)=>((((lam2lamEq)=>(((((iffalseProp2)=>((iftrueProp1)=>(((ifSingleton)=>((ifp)=>((theeq)=>(((((binintersectT_lem)=>((binunionT_lem)=>((((complementT_lem)=>((setextT)=>(((powersetTI1)=>((((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>(((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>(((((doubleComplementEq)=>((complementTnotintersectT)=>((((((complementTcontraSubset)=>((((inIntersectImpInUnion)=>(((inIntersectImpInIntersectUnions)=>((((inComplementUnionImpInComplement1)=>(((binunionTEcontra)=>((((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>(((((woz13rule0)=>(((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>(((woz1_2)=>(((woz1_4)=>(((breln1all2)=>((breln1SetBreln1)=>(((![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>((subset @ X33 @ X35)<=![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35)))))))))))<=(breln1all1))<=(setOfPairsIsBReln1))<=(choice2fnsingleton))))<=(woz1_5)))<=(woz1_3)))<=(woz1_1)))))<=(woz13rule1)))<=(demorgan2))<=(demorgan2b))<=(demorgan2b2)))))))<=(complementUnionInPowersetComplement))<=(demorgan2a1)))<=(binunionTE)))<=(inComplementUnionImpNotIn1))<=(intersectInPowersetIntersectUnions)))<=(inIntersectImpInUnion2)))<=(binunionTIRcontra))<=(binunionTILcontra)))<=(contraSubsetComplement))<=(complementInPowersetComplementIntersect))<=(complementSubsetComplementIntersect))<=(complementImpComplementIntersect))))<=(doubleComplementSub2))<=(doubleComplementSub1))<=(doubleComplementE1)))))<=(contrasubsetT1))))))<=(complementTI1))<=(powersetTE1)))<=(subsetTI))))<=(setminusT_lem))<=(powersetT_lem))))<=(iftrueorfalse))<=(iffalse))<=(iftrue)))))<=(iftrueProp2))))<=(iffalseProp1))<=(eta2))<=(beta2)))<=(eta1))<=(beta1)))<=(ap2apEq1))<=(funcext2))<=(funcext))<=(eqbreln))))))<=(funcGraphProp3)))))<=(brelnall1)))))<=(funcinfuncset))<=(ap2p))))<=(apProp)))))<=(dpsetconstrEL1))<=(dpsetconstrERa))<=(setOfPairsIsBReln)))<=(dpsetconstrI))<=(cartprodpairsurjEq)))))<=(cartprodpairmemER))<=(cartprodpairmemEL)))<=(kpairsurjEq))<=(ksndpairEq)))<=(setukpairinjR))<=(setukpairinjR2)))<=(setukpairinjR1)))))))<=(kfstpairEq))<=(theprop)))<=(setukpairinjL1))<=(singletonsuniq)))<=(ex1I)))<=(singletonprop)))))<=(setunionE2))<=(cartprodmempair)))))<=(ubforcartprodlem2)))))<=(upairset2E))<=(singletoninpowunion))<=(singletoninpowerset))<=(singletonsubset)))<=(kpairiskpair)))))))<=(symdiffI2)))<=(symdiffE))))))<=(setminusELneg)))<=(setminusSubset2))))))))))))<=(binintersectSubset2))<=(binintersectLsub)))<=(binintersectSubset5)))<=(binunionRsub))<=(binunionLsub)))<=(binunionEcases))<=(binunionIR))))<=(sepSubset))<=(sepInPowerset)))<=(inPowerset))<=(powersetE1))<=(powersetI1))))))))<=(subsetRefl))))<=(notsubsetI)))<=(subsetE))<=(emptysetsubset))))<=(eqimpsubset2))<=(subsetI1)))<=(descr__Cong)))<=(omega__Cong)))<=(powerset__Cong))<=(setadjoin__Cong))<=(emptyset__Cong)))<=(exuE3u))<=(in__Cong))<=(inCongP))))<=(exuI1)))))))<=(quantDeMorgan3)))<=(quantDeMorgan1)))<=(emptyE1)))<=(upairsetIL))<=(upairsetE)))<=(eqinunit)))<=(uniqinunit))))))<=(setunionI))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset)))<=(setoftrueEq)))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty))<=(setadjoinIL)))<=(nonemptyI))))))<=(setext)))<=(notinemptyset))<=(emptysetimpfalse)))))<=(dsetconstrER)))<=(dsetconstrI))<=(descrp)))<=(foundationAx))<=(replAx))<=(omegaIndAx)))<=(omega0Ax)))<=(powersetAx))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subbreln1)).
3.65/1.14	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', dsetconstrI)).
3.65/1.14	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', dsetconstrEL)).
3.65/1.14	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', dsetconstrER)).
3.65/1.14	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setbeta)).
3.65/1.14	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', nonemptyE1)).
3.65/1.14	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', nonemptyI1)).
3.65/1.14	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setoftrueEq)).
3.65/1.14	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', nonemptyImpWitness)).
3.65/1.14	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', emptyE1)).
3.65/1.14	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', dsetconstr__Cong)).
3.65/1.14	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', sepInPowerset)).
3.65/1.14	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', sepSubset)).
3.65/1.14	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', singletonprop)).
3.65/1.14	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ex1E1)).
3.65/1.14	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ex1I)).
3.65/1.14	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ex1I2)).
3.65/1.14	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', kfstsingleton)).
3.65/1.14	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ksndsingleton)).
3.65/1.14	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', dpsetconstrI)).
3.65/1.14	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', dpsetconstrSub)).
3.65/1.14	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', dpsetconstrERa)).
3.65/1.14	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', dpsetconstrEL1)).
3.65/1.14	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', dpsetconstrEL2)).
3.65/1.14	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', dpsetconstrER)).
3.65/1.14	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', funcImageSingleton)).
3.65/1.14	thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', apProp)).
3.65/1.14	thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', lamProp)).
3.65/1.14	thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', lamp)).
3.65/1.14	thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', lam2p)).
3.65/1.14	thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', brelnall1)).
3.65/1.14	thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', brelnall2)).
3.65/1.14	thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ex1E2)).
3.65/1.14	thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subbreln)).
3.65/1.14	thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', eqbreln)).
3.65/1.14	thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', beta1)).
3.65/1.14	thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', eta1)).
3.65/1.14	thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', lam2lamEq)).
3.65/1.14	thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', beta2)).
3.65/1.14	thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', eta2)).
3.65/1.14	thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X39))&(((X14)=(X2)))))|(((~((X39)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', iffalseProp1)).
3.65/1.14	thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X40))&(((X14)=(X2)))))|(((~((X40)))&(((X14)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', iffalseProp2)).
3.65/1.14	thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X41))&(((X14)=(X2)))))|(((~((X41)))&(((X14)=(X3)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', iftrueProp1)).
3.65/1.14	thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((((X42))&(((X14)=(X2)))))|(((~((X42)))&(((X14)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', iftrueProp2)).
3.65/1.14	thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((((X43))&(((X14)=(X2)))))|(((~((X43)))&(((X14)=(X3))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ifSingleton)).
3.65/1.14	thf(breln1all2, axiom, ((breln1all2)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', breln1all2)).
3.65/1.14	thf(breln1SetBreln1, axiom, ((breln1SetBreln1)<=>![X4:$i, X33:$i]:(((in @ X33 @ (breln1Set @ X4))=>(breln1 @ X4 @ X33)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', breln1SetBreln1)).
3.65/1.14	thf(choice2fnsingleton, axiom, ((choice2fnsingleton)<=>![X4:$i, X5:$i, X52:$i > $i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>?[X3:$i]:(((in @ X3 @ X5)&(X52 @ X2 @ X3)))))=>![X33:$i]:(((in @ X33 @ (breln1Set @ X5))=>((reflwellordering @ X5 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((((X52 @ X2 @ X3))&(![X14:$i]:((((in @ X14 @ X5))=>((((X52 @ X2 @ X14))=>((in @ (kpair @ X3 @ X14) @ X33)))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', choice2fnsingleton)).
3.65/1.14	thf(breln1all1, axiom, ((breln1all1)<=>![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', breln1all1)).
3.65/1.14	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setextAx)).
3.65/1.14	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', emptysetAx)).
3.65/1.14	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setadjoinAx)).
3.65/1.14	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', powersetAx)).
3.65/1.14	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setunionAx)).
3.65/1.14	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', omega0Ax)).
3.65/1.14	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', omegaSAx)).
3.65/1.14	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', omegaIndAx)).
3.65/1.14	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', foundationAx)).
3.65/1.14	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', wellorderingAx)).
3.65/1.14	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', prop2setE)).
3.65/1.14	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', emptysetE)).
3.65/1.14	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', emptysetimpfalse)).
3.65/1.14	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', notinemptyset)).
3.65/1.14	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setext)).
3.65/1.14	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', emptyI)).
3.65/1.14	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', noeltsimpempty)).
3.65/1.14	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setadjoinIL)).
3.65/1.14	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', emptyinunitempty)).
3.65/1.14	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setadjoinIR)).
3.65/1.14	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setadjoinE)).
3.65/1.14	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setadjoinOr)).
3.65/1.14	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', powersetI)).
3.65/1.14	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', emptyinPowerset)).
3.65/1.14	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', emptyInPowerset)).
3.65/1.14	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', powersetE)).
3.65/1.14	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setunionI)).
3.65/1.14	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setunionE)).
3.65/1.14	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subPowSU)).
3.65/1.14	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', uniqinunit)).
3.65/1.14	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', notinsingleton)).
3.65/1.14	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', eqinunit)).
3.65/1.14	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', singletonsswitch)).
3.65/1.14	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', upairsetE)).
3.65/1.14	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', upairsetIL)).
3.65/1.14	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', upairsetIR)).
3.65/1.14	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', vacuousDall)).
3.65/1.14	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', quantDeMorgan1)).
3.65/1.14	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', quantDeMorgan2)).
3.65/1.14	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', quantDeMorgan3)).
3.65/1.14	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', quantDeMorgan4)).
3.65/1.14	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', prop2setI)).
3.65/1.14	thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', prop2set2propI)).
3.65/1.14	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', notdexE)).
3.65/1.14	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', notdallE)).
3.65/1.14	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', inCongP)).
3.65/1.14	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', in__Cong)).
3.65/1.14	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', emptyset__Cong)).
3.65/1.14	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setadjoin__Cong)).
3.65/1.14	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', powerset__Cong)).
3.65/1.14	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setunion__Cong)).
3.65/1.14	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', omega__Cong)).
3.65/1.14	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subsetI1)).
3.65/1.14	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', eqimpsubset2)).
3.65/1.14	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', eqimpsubset1)).
3.65/1.14	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subsetI2)).
3.65/1.14	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', emptysetsubset)).
3.65/1.14	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subsetE)).
3.65/1.14	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subsetE2)).
3.65/1.14	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', notsubsetI)).
3.65/1.14	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', notequalI1)).
3.65/1.14	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', notequalI2)).
3.65/1.14	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subsetRefl)).
3.65/1.14	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subsetTrans)).
3.65/1.14	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setadjoinSub)).
3.65/1.14	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setadjoinSub2)).
3.65/1.14	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subset2powerset)).
3.65/1.14	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setextsub)).
3.65/1.14	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subsetemptysetimpeq)).
3.65/1.14	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', powersetI1)).
3.65/1.14	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', powersetE1)).
3.65/1.14	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', inPowerset)).
3.65/1.14	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', powersetsubset)).
3.65/1.14	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionIL)).
3.65/1.14	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', upairset2IR)).
3.65/1.14	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionIR)).
3.65/1.14	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionEcases)).
3.65/1.14	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionE)).
3.65/1.14	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionLsub)).
3.65/1.14	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionRsub)).
3.65/1.14	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectI)).
3.65/1.14	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectSubset5)).
3.65/1.14	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectEL)).
3.65/1.14	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectLsub)).
3.65/1.14	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectSubset2)).
3.65/1.14	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectSubset3)).
3.65/1.14	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectER)).
3.65/1.14	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', disjointsetsI1)).
3.65/1.14	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectRsub)).
3.65/1.14	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectSubset4)).
3.65/1.14	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectSubset1)).
3.65/1.14	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', bs114d)).
3.65/1.14	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusI)).
3.65/1.14	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusEL)).
3.65/1.14	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusER)).
3.65/1.14	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusSubset2)).
3.65/1.14	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusERneg)).
3.65/1.14	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusELneg)).
3.65/1.14	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusILneg)).
3.65/1.14	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusIRneg)).
3.65/1.14	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusLsub)).
3.65/1.14	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusSubset1)).
3.65/1.14	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', symdiffE)).
3.65/1.14	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', symdiffI1)).
3.65/1.14	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', symdiffI2)).
3.65/1.14	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', symdiffIneg1)).
3.65/1.14	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', symdiffIneg2)).
3.65/1.14	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', secondinupair)).
3.65/1.14	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setukpairIL)).
3.65/1.14	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setukpairIR)).
3.65/1.14	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', kpairiskpair)).
3.65/1.14	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', kpairp)).
3.65/1.14	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', singletonsubset)).
3.65/1.14	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', singletoninpowerset)).
3.65/1.14	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', singletoninpowunion)).
3.65/1.14	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', upairset2E)).
3.65/1.14	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', upairsubunion)).
3.65/1.14	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', upairinpowunion)).
3.65/1.14	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ubforcartprodlem1)).
3.65/1.14	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ubforcartprodlem2)).
3.65/1.14	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ubforcartprodlem3)).
3.65/1.14	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodpairin)).
3.65/1.14	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodmempair1)).
3.65/1.14	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodmempair)).
3.65/1.14	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setunionE2)).
3.65/1.14	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setunionsingleton1)).
3.65/1.14	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setunionsingleton2)).
3.65/1.14	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setunionsingleton)).
3.65/1.14	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', singletonsuniq)).
3.65/1.14	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setukpairinjL1)).
3.65/1.14	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', theprop)).
3.65/1.14	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', kfstpairEq)).
3.65/1.14	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodfstin)).
3.65/1.14	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setukpairinjL2)).
3.65/1.14	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setukpairinjL)).
3.65/1.14	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setukpairinjR11)).
3.65/1.14	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setukpairinjR12)).
3.65/1.14	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setukpairinjR1)).
3.65/1.14	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', upairequniteq)).
3.65/1.14	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setukpairinjR2)).
3.65/1.14	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setukpairinjR)).
3.65/1.14	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ksndpairEq)).
3.65/1.14	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', kpairsurjEq)).
3.65/1.14	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodsndin)).
3.65/1.14	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodpairmemEL)).
3.65/1.14	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodpairmemER)).
3.65/1.14	thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodmempaircEq)).
3.65/1.14	thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodfstpairEq)).
3.65/1.14	thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodsndpairEq)).
3.65/1.14	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', cartprodpairsurjEq)).
3.65/1.14	thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', app)).
3.65/1.14	thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', infuncsetfunc)).
3.65/1.14	thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ap2p)).
3.65/1.14	thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', funcinfuncset)).
3.65/1.14	thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', funcGraphProp1)).
3.65/1.14	thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', funcGraphProp3)).
3.65/1.14	thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', funcGraphProp2)).
3.65/1.14	thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', funcextLem)).
3.65/1.14	thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', funcGraphProp4)).
3.65/1.14	thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', funcext)).
3.65/1.14	thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', funcext2)).
3.65/1.14	thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ap2apEq1)).
3.65/1.14	thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ap2apEq2)).
3.65/1.14	thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', ifp)).
3.65/1.14	thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', theeq)).
3.65/1.14	thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', iftrue)).
3.65/1.14	thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', iffalse)).
3.65/1.14	thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', iftrueorfalse)).
3.65/1.14	thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectT_lem)).
3.65/1.14	thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionT_lem)).
3.65/1.14	thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', powersetT_lem)).
3.65/1.14	thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setminusT_lem)).
3.65/1.14	thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', complementT_lem)).
3.65/1.14	thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', setextT)).
3.65/1.14	thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', subsetTI)).
3.65/1.14	thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', powersetTI1)).
3.65/1.14	thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', powersetTE1)).
3.65/1.14	thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', complementTI1)).
3.65/1.14	thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', complementTE1)).
3.65/1.14	thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectTELcontra)).
3.65/1.14	thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binintersectTERcontra)).
3.65/1.14	thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', contrasubsetT)).
3.65/1.14	thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', contrasubsetT1)).
3.65/1.14	thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', contrasubsetT2)).
3.65/1.14	thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', contrasubsetT3)).
3.65/1.14	thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$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/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', doubleComplementI1)).
3.65/1.14	thf(doubleComplementE1, axiom, ((doubleComplementE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', doubleComplementE1)).
3.65/1.14	thf(doubleComplementSub1, axiom, ((doubleComplementSub1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ X21 @ (setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', doubleComplementSub1)).
3.65/1.14	thf(doubleComplementSub2, axiom, ((doubleComplementSub2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ (setminus @ X4 @ X21)) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', doubleComplementSub2)).
3.65/1.14	thf(doubleComplementEq, axiom, ((doubleComplementEq)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>((X21)=(setminus @ X4 @ (setminus @ X4 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', doubleComplementEq)).
3.65/1.14	thf(complementTnotintersectT, axiom, ((complementTnotintersectT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', complementTnotintersectT)).
3.65/1.14	thf(complementImpComplementIntersect, axiom, ((complementImpComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ X21))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', complementImpComplementIntersect)).
3.65/1.14	thf(complementSubsetComplementIntersect, axiom, ((complementSubsetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(subset @ (setminus @ X4 @ X21) @ (setminus @ X4 @ (binintersect @ X21 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', complementSubsetComplementIntersect)).
3.65/1.14	thf(complementInPowersetComplementIntersect, axiom, ((complementInPowersetComplementIntersect)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', complementInPowersetComplementIntersect)).
3.65/1.14	thf(contraSubsetComplement, axiom, ((contraSubsetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ (setminus @ X4 @ X21))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', contraSubsetComplement)).
3.65/1.14	thf(complementTcontraSubset, axiom, ((complementTcontraSubset)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', complementTcontraSubset)).
3.65/1.14	thf(binunionTILcontra, axiom, ((binunionTILcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionTILcontra)).
3.65/1.14	thf(binunionTIRcontra, axiom, ((binunionTIRcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionTIRcontra)).
3.65/1.14	thf(inIntersectImpInUnion, axiom, ((inIntersectImpInUnion)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X21 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', inIntersectImpInUnion)).
3.65/1.14	thf(inIntersectImpInUnion2, axiom, ((inIntersectImpInUnion2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binunion @ X48 @ X49)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', inIntersectImpInUnion2)).
3.65/1.14	thf(inIntersectImpInIntersectUnions, axiom, ((inIntersectImpInIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', inIntersectImpInIntersectUnions)).
3.65/1.14	thf(intersectInPowersetIntersectUnions, axiom, ((intersectInPowersetIntersectUnions)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', intersectInPowersetIntersectUnions)).
3.65/1.14	thf(inComplementUnionImpNotIn1, axiom, ((inComplementUnionImpNotIn1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>~((in @ X2 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', inComplementUnionImpNotIn1)).
3.65/1.14	thf(inComplementUnionImpInComplement1, axiom, ((inComplementUnionImpInComplement1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', inComplementUnionImpInComplement1)).
3.65/1.14	thf(binunionTE, axiom, ((binunionTE)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X50:$o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ X21 @ X48))=>(((in @ X2 @ X21)=>(X50))=>(((in @ X2 @ X48)=>(X50))=>(X50))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionTE)).
3.65/1.14	thf(binunionTEcontra, axiom, ((binunionTEcontra)<=>![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 @ X2 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', binunionTEcontra)).
3.65/1.14	thf(demorgan2a1, axiom, ((demorgan2a1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X21)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', demorgan2a1)).
3.65/1.14	thf(complementUnionInPowersetComplement, axiom, ((complementUnionInPowersetComplement)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', complementUnionInPowersetComplement)).
3.65/1.14	thf(demorgan2a2, axiom, ((demorgan2a2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (setminus @ X4 @ X48)))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', demorgan2a2)).
3.65/1.14	thf(demorgan1a, axiom, ((demorgan1a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48)))=>(in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', demorgan1a)).
3.65/1.14	thf(demorgan1b, axiom, ((demorgan1b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', demorgan1b)).
3.65/1.14	thf(demorgan1, axiom, ((demorgan1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ X21 @ X48))=(binunion @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', demorgan1)).
3.65/1.14	thf(demorgan2a, axiom, ((demorgan2a)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))=>(in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', demorgan2a)).
3.65/1.14	thf(demorgan2b2, axiom, ((demorgan2b2)<=>![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 @ X48))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', demorgan2b2)).
3.65/1.14	thf(demorgan2b, axiom, ((demorgan2b)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))=>(in @ X2 @ (setminus @ X4 @ (binunion @ X21 @ X48))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', demorgan2b)).
3.65/1.14	thf(demorgan2, axiom, ((demorgan2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((setminus @ X4 @ (binunion @ X21 @ X48))=(binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', demorgan2)).
3.65/1.14	thf(woz13rule0, axiom, ((woz13rule0)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ (binintersect @ X21 @ X48))=>(in @ X2 @ X4)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', woz13rule0)).
3.65/1.14	thf(woz13rule1, axiom, ((woz13rule1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', woz13rule1)).
3.65/1.14	thf(woz13rule2, axiom, ((woz13rule2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X48 @ X49)=>(subset @ (binintersect @ X21 @ X48) @ X49))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', woz13rule2)).
3.65/1.14	thf(woz13rule3, axiom, ((woz13rule3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>((subset @ X21 @ X48)=>((subset @ X21 @ X49)=>(subset @ X21 @ (binintersect @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', woz13rule3)).
3.65/1.14	thf(woz13rule4, axiom, ((woz13rule4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((subset @ X21 @ X49)=>((subset @ X48 @ X51)=>(subset @ (binintersect @ X21 @ X48) @ (binintersect @ X49 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', woz13rule4)).
3.65/1.14	thf(woz1_1, axiom, ((woz1_1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ (setminus @ X4 @ (binintersect @ X21 @ X48))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', woz1_1)).
3.65/1.14	thf(woz1_2, axiom, ((woz1_2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>![X51:$i]:(((in @ X51 @ (powerset @ X4))=>((setminus @ X4 @ (binintersect @ (binunion @ X21 @ X48) @ (binunion @ X49 @ X51)))=(binunion @ (binintersect @ (setminus @ X4 @ X21) @ (setminus @ X4 @ X48)) @ (binintersect @ (setminus @ X4 @ X49) @ (setminus @ X4 @ X51))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', woz1_2)).
3.65/1.14	thf(woz1_3, axiom, ((woz1_3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X49:$i]:(((in @ X49 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ (binintersect @ (binunion @ X21 @ X49) @ (binunion @ X48 @ X49))))))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', woz1_3)).
3.65/1.14	thf(woz1_4, axiom, ((woz1_4)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ (setminus @ X4 @ X48))=>(subset @ X48 @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', woz1_4)).
3.65/1.14	thf(woz1_5, axiom, ((woz1_5)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X4 @ (binunion @ X21 @ X48)) @ (powerset @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox2/tmp/tmp.rHC2yDLrRi/E---3.1_3151705.p', woz1_5)).
3.65/1.14	thf(c_0_294, plain, ((breln1)=(^[Z0:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(fof_simplification,[status(thm)],[breln1])).
3.65/1.14	thf(c_0_295, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
3.65/1.14	thf(c_0_296, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
3.65/1.14	thf(c_0_297, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
3.65/1.14	thf(c_0_298, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
3.65/1.14	thf(c_0_299, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
3.65/1.14	thf(c_0_300, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
3.65/1.14	thf(c_0_301, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
3.65/1.14	thf(c_0_302, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
3.65/1.14	thf(c_0_303, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
3.65/1.14	thf(c_0_304, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
3.65/1.14	thf(c_0_305, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
3.65/1.14	thf(c_0_306, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
3.65/1.14	thf(c_0_307, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
3.65/1.14	thf(c_0_308, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
3.65/1.14	thf(c_0_309, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
3.65/1.14	thf(c_0_310, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
3.65/1.14	thf(c_0_311, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
3.65/1.14	thf(c_0_312, plain, ((breln1)=(^[Z0:$i, Z1:$i]:(((subset @ Z1 @ (cartprod @ Z0 @ Z0)))))), inference(apply_def,[status(thm)],[c_0_294, c_0_295])).
3.65/1.14	thf(c_0_313, plain, ((setOfPairsIsBReln1)<=>![X4:$i, X53:$i > $i > $o]:((breln1 @ X4 @ (dpsetconstr @ X4 @ X4 @ (^[Z0:$i, Z1:$i]:((X53 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln1])).
3.65/1.14	thf(c_0_314, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>(((setunionAx)=>(((omegaSAx)=>(((((wellorderingAx)=>((((dsetconstrEL)=>(((exuE1)=>((prop2setE)=>((emptysetE)=>((((exuE3e)=>(((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>(((nonemptyI1)=>((((((setadjoinOr)=>(((powersetI)=>((((((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>(((notinsingleton)=>(((singletonsswitch)=>((((upairsetIR)=>(((vacuousDall)=>(((quantDeMorgan2)=>(((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>(((exuI3)=>((exuI2)=>(((((exu__Cong)=>(((((setunion__Cong)=>(((exuEu)=>(((dsetconstr__Cong)=>((((eqimpsubset1)=>((subsetI2)=>((((subsetE2)=>(((notequalI1)=>((notequalI2)=>(((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>(((((powersetsubset)=>((((binunionIL)=>((upairset2IR)=>((((binunionE)=>((((binintersectI)=>(((binintersectEL)=>((((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>(((setminusERneg)=>(((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>(((symdiffI1)=>(((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>(((kpairp)=>((((((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>(((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>(((ex1E1)=>(((ex1I2)=>((((kfstsingleton)=>((((cartprodfstin)=>((setukpairinjL2)=>((setukpairinjL)=>((setukpairinjR11)=>((setukpairinjR12)=>(((upairequniteq)=>((((ksndsingleton)=>((((cartprodsndin)=>((((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((((dpsetconstrSub)=>(((((dpsetconstrEL2)=>((dpsetconstrER)=>((funcImageSingleton)=>(((app)=>((infuncsetfunc)=>((((lamProp)=>((lamp)=>((lam2p)=>(((brelnall2)=>((ex1E2)=>((funcGraphProp1)=>(((funcGraphProp2)=>((funcextLem)=>((funcGraphProp4)=>((subbreln)=>((((((ap2apEq2)=>((((lam2lamEq)=>(((((iffalseProp2)=>((iftrueProp1)=>(((ifSingleton)=>((ifp)=>((theeq)=>(((((binintersectT_lem)=>((binunionT_lem)=>((((complementT_lem)=>((setextT)=>(((powersetTI1)=>((((complementTE1)=>((binintersectTELcontra)=>((binintersectTERcontra)=>((contrasubsetT)=>(((contrasubsetT2)=>((contrasubsetT3)=>((doubleComplementI1)=>(((((doubleComplementEq)=>((complementTnotintersectT)=>((((((complementTcontraSubset)=>((((inIntersectImpInUnion)=>(((inIntersectImpInIntersectUnions)=>((((inComplementUnionImpInComplement1)=>(((binunionTEcontra)=>((((demorgan2a2)=>((demorgan1a)=>((demorgan1b)=>((demorgan1)=>((demorgan2a)=>(((((woz13rule0)=>(((woz13rule2)=>((woz13rule3)=>((woz13rule4)=>(((woz1_2)=>(((woz1_4)=>(((breln1all2)=>((breln1SetBreln1)=>(((![X4:$i, X33:$i]:(((breln1 @ X4 @ X33)=>![X35:$i]:(((breln1 @ X4 @ X35)=>((subset @ X33 @ X35)<=![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35)))))))))))<=(breln1all1))<=(setOfPairsIsBReln1))<=(choice2fnsingleton))))<=(woz1_5)))<=(woz1_3)))<=(woz1_1)))))<=(woz13rule1)))<=(demorgan2))<=(demorgan2b))<=(demorgan2b2)))))))<=(complementUnionInPowersetComplement))<=(demorgan2a1)))<=(binunionTE)))<=(inComplementUnionImpNotIn1))<=(intersectInPowersetIntersectUnions)))<=(inIntersectImpInUnion2)))<=(binunionTIRcontra))<=(binunionTILcontra)))<=(contraSubsetComplement))<=(complementInPowersetComplementIntersect))<=(complementSubsetComplementIntersect))<=(complementImpComplementIntersect))))<=(doubleComplementSub2))<=(doubleComplementSub1))<=(doubleComplementE1)))))<=(contrasubsetT1))))))<=(complementTI1))<=(powersetTE1)))<=(subsetTI))))<=(setminusT_lem))<=(powersetT_lem))))<=(iftrueorfalse))<=(iffalse))<=(iftrue)))))<=(iftrueProp2))))<=(iffalseProp1))<=(eta2))<=(beta2)))<=(eta1))<=(beta1)))<=(ap2apEq1))<=(funcext2))<=(funcext))<=(eqbreln))))))<=(funcGraphProp3)))))<=(brelnall1)))))<=(funcinfuncset))<=(ap2p))))<=(apProp)))))<=(dpsetconstrEL1))<=(dpsetconstrERa))<=(setOfPairsIsBReln)))<=(dpsetconstrI))<=(cartprodpairsurjEq)))))<=(cartprodpairmemER))<=(cartprodpairmemEL)))<=(kpairsurjEq))<=(ksndpairEq)))<=(setukpairinjR))<=(setukpairinjR2)))<=(setukpairinjR1)))))))<=(kfstpairEq))<=(theprop)))<=(setukpairinjL1))<=(singletonsuniq)))<=(ex1I)))<=(singletonprop)))))<=(setunionE2))<=(cartprodmempair)))))<=(ubforcartprodlem2)))))<=(upairset2E))<=(singletoninpowunion))<=(singletoninpowerset))<=(singletonsubset)))<=(kpairiskpair)))))))<=(symdiffI2)))<=(symdiffE))))))<=(setminusELneg)))<=(setminusSubset2))))))))))))<=(binintersectSubset2))<=(binintersectLsub)))<=(binintersectSubset5)))<=(binunionRsub))<=(binunionLsub)))<=(binunionEcases))<=(binunionIR))))<=(sepSubset))<=(sepInPowerset)))<=(inPowerset))<=(powersetE1))<=(powersetI1))))))))<=(subsetRefl))))<=(notsubsetI)))<=(subsetE))<=(emptysetsubset))))<=(eqimpsubset2))<=(subsetI1)))<=(descr__Cong)))<=(omega__Cong)))<=(powerset__Cong))<=(setadjoin__Cong))<=(emptyset__Cong)))<=(exuE3u))<=(in__Cong))<=(inCongP))))<=(exuI1)))))))<=(quantDeMorgan3)))<=(quantDeMorgan1)))<=(emptyE1)))<=(upairsetIL))<=(upairsetE)))<=(eqinunit)))<=(uniqinunit))))))<=(setunionI))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset)))<=(setoftrueEq)))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty))<=(setadjoinIL)))<=(nonemptyI))))))<=(setext)))<=(notinemptyset))<=(emptysetimpfalse)))))<=(dsetconstrER)))<=(dsetconstrI))<=(descrp)))<=(foundationAx))<=(replAx))<=(omegaIndAx)))<=(omega0Ax)))<=(powersetAx)))))), inference(assume_negation,[status(cth)],[subbreln1])).
3.65/1.14	thf(c_0_315, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X989:$i]:(((((X6 @ X2 @ X989)))&(![X990:$i]:(((((X6 @ X2 @ X990)))=>(((X989)=(X990)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_296, c_0_297])).
3.65/1.14	thf(c_0_316, plain, ((descrp)=(![X1:$i > $o]:((((?[X991:$i]:(((((X1 @ X991)))&(![X992:$i]:(((((X1 @ X992)))=>(((X991)=(X992))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_298, c_0_297])).
3.65/1.14	thf(c_0_317, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
3.65/1.14	thf(c_0_318, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
3.65/1.14	thf(c_0_319, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
3.65/1.14	thf(c_0_320, plain, ((exuE1)=(![X1:$i > $o]:((((?[X993:$i]:(((((X1 @ X993)))&(![X994:$i]:(((((X1 @ X994)))=>(((X993)=(X994))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_299, c_0_297])).
3.65/1.14	thf(c_0_321, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X995:$i]:(((((X1 @ X995)))&(![X996:$i]:(((((X1 @ X996)))=>(((X995)=(X996))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_300, c_0_297])).
3.65/1.14	thf(c_0_322, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
3.65/1.14	thf(c_0_323, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_301])).
3.65/1.14	thf(c_0_324, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_302, c_0_301])).
3.65/1.14	thf(c_0_325, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_301])).
3.65/1.14	thf(c_0_326, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
3.65/1.14	thf(c_0_327, plain, ((exuE2)=(![X1:$i > $o]:((((?[X997:$i]:(((((X1 @ X997)))&(![X998:$i]:(((((X1 @ X998)))=>(((X997)=(X998))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_303, c_0_297])).
3.65/1.14	thf(c_0_328, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_301])).
3.65/1.14	thf(c_0_329, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
3.65/1.14	thf(c_0_330, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X999:$i]:(((((X1 @ X999)))&(![X1000:$i]:(((((X1 @ X1000)))=>(((X999)=(X1000)))))))))))))), inference(apply_def,[status(thm)],[c_0_304, c_0_297])).
3.65/1.14	thf(c_0_331, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X1001:$i]:(((((X1 @ X1001)))&(![X1002:$i]:(((((X1 @ X1002)))=>(((X1001)=(X1002)))))))))))))))), inference(apply_def,[status(thm)],[c_0_305, c_0_297])).
3.65/1.14	thf(c_0_332, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X1003:$i]:(((((X1 @ X1003)))&(![X1004:$i]:(((((X1 @ X1004)))=>(((X1003)=(X1004)))))))))))))), inference(apply_def,[status(thm)],[c_0_306, c_0_297])).
3.65/1.14	thf(c_0_333, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X1005:$i]:(((((X1 @ X1005)))&(![X1006:$i]:(((((X1 @ X1006)))=>(((X1005)=(X1006))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_307, c_0_297])).
3.65/1.14	thf(c_0_334, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X1007:$i]:(((((X1 @ X1007)))&(![X1008:$i]:(((((X1 @ X1008)))=>(((X1007)=(X1008))))))))))<=>((?[X1009:$i]:(((((X17 @ X1009)))&(![X1010:$i]:(((((X17 @ X1010)))=>(((X1009)=(X1010)))))))))))))))), inference(apply_def,[status(thm)],[c_0_308, c_0_297])).
3.65/1.14	thf(c_0_335, plain, ((exuEu)=(![X1:$i > $o]:((((?[X1011:$i]:(((((X1 @ X1011)))&(![X1012:$i]:(((((X1 @ X1012)))=>(((X1011)=(X1012))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_309, c_0_297])).
3.65/1.14	thf(c_0_336, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X1013:$i]:(((((X1 @ X1013)))&(![X1014:$i]:(((((X1 @ X1014)))=>(((X1013)=(X1014))))))))))=>((((?[X1015:$i]:(((((X17 @ X1015)))&(![X1016:$i]:(((((X17 @ X1016)))=>(((X1015)=(X1016))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_310, c_0_297])).
3.65/1.14	thf(c_0_337, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
3.65/1.14	thf(c_0_338, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
3.65/1.14	thf(c_0_339, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
3.65/1.14	thf(c_0_340, 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:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
3.65/1.14	thf(c_0_341, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
3.65/1.14	thf(c_0_342, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
3.65/1.14	thf(c_0_343, 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:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
3.65/1.14	thf(c_0_344, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
3.65/1.14	thf(c_0_345, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
3.65/1.14	thf(c_0_346, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
3.65/1.14	thf(c_0_347, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
3.65/1.14	thf(c_0_348, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X24:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[c_0_311, c_0_295])).
3.65/1.14	thf(c_0_349, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
3.65/1.14	thf(c_0_350, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
3.65/1.14	thf(c_0_351, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
3.65/1.14	thf(c_0_352, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
3.65/1.14	thf(c_0_353, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
3.65/1.14	thf(c_0_354, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
3.65/1.14	thf(c_0_355, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
3.65/1.14	thf(c_0_356, 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:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
3.65/1.14	thf(c_0_357, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
3.65/1.14	thf(c_0_358, axiom, ((brelnall1)=(![X4:$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_295])).
3.65/1.14	thf(c_0_359, 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_295])).
3.65/1.14	thf(c_0_360, plain, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$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])).
3.65/1.14	thf(c_0_361, 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_295])).
3.65/1.14	thf(c_0_362, 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_295])).
3.65/1.14	thf(c_0_363, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])).
3.65/1.14	thf(c_0_364, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
3.65/1.14	thf(c_0_365, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])).
3.65/1.14	thf(c_0_366, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])).
3.65/1.14	thf(c_0_367, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
3.65/1.14	thf(c_0_368, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X39))&(((Z0)=(X2)))))|(((~((X39)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
3.65/1.14	thf(c_0_369, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X40))&(((Z0)=(X2)))))|(((~((X40)))&(((Z0)=(X3)))))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
3.65/1.14	thf(c_0_370, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X41))&(((Z0)=(X2)))))|(((~((X41)))&(((Z0)=(X3)))))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
3.65/1.14	thf(c_0_371, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0:$i]:((((((X42))&(((Z0)=(X2)))))|(((~((X42)))&(((Z0)=(X3)))))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
3.65/1.14	thf(c_0_372, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((((((X43))&(((Z0)=(X2)))))|(((~((X43)))&(((Z0)=(X3))))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
3.65/1.14	thf(c_0_373, axiom, ((breln1all2)=(![X4:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X4))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[breln1all2, c_0_312])).
3.65/1.14	thf(c_0_374, axiom, ((breln1SetBreln1)=(![X4:$i, X33:$i]:((((in @ X33 @ (breln1Set @ X4)))=>(((subset @ X33 @ (cartprod @ X4 @ X4)))))))), inference(apply_def,[status(thm)],[breln1SetBreln1, c_0_312])).
3.65/1.14	thf(c_0_375, plain, ((choice2fnsingleton)<=>![X4:$i, X5:$i, X52:$i > $i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>?[X3:$i]:(((in @ X3 @ X5)&(X52 @ X2 @ X3)))))=>![X33:$i]:(((in @ X33 @ (breln1Set @ X5))=>((reflwellordering @ X5 @ X33)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0:$i]:((((X52 @ X2 @ Z0))&(![X14:$i]:((((in @ X14 @ X5))=>((((X52 @ X2 @ X14))=>((in @ (kpair @ Z0 @ X14) @ X33)))))))))))))))))))), inference(fof_simplification,[status(thm)],[choice2fnsingleton])).
3.65/1.14	thf(c_0_376, plain, ((setOfPairsIsBReln1)=(![X4:$i, X53:$i > $i > $o]:(((subset @ (dpsetconstr @ X4 @ X4 @ (^[Z0:$i, Z1:$i]:((X53 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X4)))))), inference(apply_def,[status(thm)],[c_0_313, c_0_312])).
3.65/1.14	thf(c_0_377, axiom, ((breln1all1)=(![X4:$i, X33:$i]:(((((subset @ X33 @ (cartprod @ X4 @ X4))))=>(![X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((in @ (kpair @ X2 @ X3) @ X33))=>((X1 @ (kpair @ X2 @ X3)))))))))))=>(![X2:$i]:((((in @ X2 @ X33))=>((X1 @ X2)))))))))))), inference(apply_def,[status(thm)],[breln1all1, c_0_312])).
3.65/1.14	thf(c_0_378, plain, ((epred1_0)<=>![X1028:$i]:(?[X1029:$i]:((((![X1030:$i]:(((in @ X1030 @ X1029)=>![X1031:$i]:(((in @ X1031 @ X1030)=>(in @ X1031 @ X1028)))))&![X1032:$i, X1033:$i]:((((in @ X1032 @ X1028)&(in @ X1033 @ X1028))=>(![X1034:$i]:(((in @ X1034 @ X1029)=>((in @ X1032 @ X1034)<=>(in @ X1033 @ X1034))))=>((X1032)=(X1033))))))&![X1035:$i, X1036:$i]:((((in @ X1035 @ X1029)&(in @ X1036 @ X1029))=>(![X1037:$i]:(((in @ X1037 @ X1035)=>(in @ X1037 @ X1036)))|![X1038:$i]:(((in @ X1038 @ X1036)=>(in @ X1038 @ X1035)))))))&![X1039:$i]:(((![X1040:$i]:(((in @ X1040 @ X1039)=>(in @ X1040 @ X1028)))&?[X1041:$i]:((in @ X1041 @ X1039)))=>?[X1042:$i, X1043:$i]:(((((in @ X1042 @ X1029)&(in @ X1043 @ X1039))&~(?[X1044:$i]:(((in @ X1044 @ X1042)&(in @ X1044 @ X1039)))))&![X1045:$i]:(((in @ X1045 @ X1029)=>(![X1046:$i]:(((in @ X1046 @ X1045)=>(in @ X1046 @ X1042)))|(in @ X1043 @ X1045)))))))))))), introduced(definition)).
3.65/1.14	thf(c_0_379, negated_conjecture, ~((![X1017:$i, X1018:$i]:((![X1019:$i]:(((in @ X1019 @ X1017)<=>(in @ X1019 @ X1018)))=>((X1017)=(X1018))))=>(![X1020:$i]:(~(in @ X1020 @ emptyset))=>(![X1021:$i, X1022:$i, X1023:$i]:(((in @ X1023 @ (setadjoin @ X1021 @ X1022))<=>(((X1023)=(X1021))|(in @ X1023 @ X1022))))=>(![X1973:$i, X1974:$i]:(((in @ X1974 @ (powerset @ X1973))<=>![X1975:$i]:(((in @ X1975 @ X1974)=>(in @ X1975 @ X1973)))))=>(![X1024:$i, X1025:$i]:(((in @ X1025 @ (setunion @ X1024))<=>?[X1026:$i]:(((in @ X1025 @ X1026)&(in @ X1026 @ X1024)))))=>((in @ emptyset @ omega)=>(![X1027:$i]:(((in @ X1027 @ omega)=>(in @ (setadjoin @ X1027 @ X1027) @ omega)))=>(![X1970:$i]:((((in @ emptyset @ X1970)&![X1971:$i]:((((in @ X1971 @ omega)&(in @ X1971 @ X1970))=>(in @ (setadjoin @ X1971 @ X1971) @ X1970))))=>![X1972:$i]:(((in @ X1972 @ omega)=>(in @ X1972 @ X1970)))))=>(![X1962:$i > $i > $o, X1963:$i]:((![X1964:$i]:(((in @ X1964 @ X1963)=>?[X1965:$i]:(((X1962 @ X1964 @ X1965)&![X1966:$i]:(((X1962 @ X1964 @ X1966)=>((X1965)=(X1966))))))))=>?[X1967:$i]:(![X1968:$i]:(((in @ X1968 @ X1967)<=>?[X1969:$i]:(((in @ X1969 @ X1963)&(X1962 @ X1969 @ X1968))))))))=>(![X1958:$i]:((?[X1959:$i]:((in @ X1959 @ X1958))=>?[X1960:$i]:(((in @ X1960 @ X1958)&~(?[X1961:$i]:(((in @ X1961 @ X1960)&(in @ X1961 @ X1958))))))))=>((epred1_0)=>(![X1955:$i > $o]:((?[X1956:$i]:(((X1955 @ X1956)&![X1957:$i]:(((X1955 @ X1957)=>((X1956)=(X1957))))))=>(X1955 @ (descr @ (^[Z0:$i]:(X1955 @ Z0))))))=>(![X1952:$i, X1953:$i > $o, X1954:$i]:(((in @ X1954 @ X1952)=>((X1953 @ X1954)=>(in @ X1954 @ (dsetconstr @ X1952 @ X1953)))))=>(![X1047:$i, X1048:$i > $o, X1049:$i]:(((in @ X1049 @ (dsetconstr @ X1047 @ X1048))=>(in @ X1049 @ X1047)))=>(![X1949:$i, X1950:$i > $o, X1951:$i]:(((in @ X1951 @ (dsetconstr @ X1949 @ X1950))=>(X1950 @ X1951)))=>(![X1050:$i > $o]:((?[X1051:$i]:(((X1050 @ X1051)&![X1052:$i]:(((X1050 @ X1052)=>((X1051)=(X1052))))))=>?[X1053:$i]:(((X1050 @ X1053)&![X1054:$i]:(((X1050 @ X1054)=>((X1053)=(X1054))))))))=>(![X1055:$o, X1056:$i]:(((in @ X1056 @ (prop2set @ ((X1055))))=>(X1055)))=>(![X1057:$i]:(((in @ X1057 @ emptyset)=>![X1058:$o]:((X1058))))=>(![X1948:$i]:(((in @ X1948 @ emptyset)=>~($true)))=>(![X1947:$i]:(~(in @ X1947 @ emptyset))=>(![X1059:$i > $o]:((?[X1060:$i]:(((X1059 @ X1060)&![X1061:$i]:(((X1059 @ X1061)=>((X1060)=(X1061))))))=>?[X1062:$i]:((X1059 @ X1062))))=>(![X1943:$i, X1944:$i]:((![X1945:$i]:(((in @ X1945 @ X1943)=>(in @ X1945 @ X1944)))=>(![X1946:$i]:(((in @ X1946 @ X1944)=>(in @ X1946 @ X1943)))=>((X1943)=(X1944)))))=>(![X1063:$i]:((![X1064:$i]:(~(in @ X1064 @ X1063))=>((X1063)=(emptyset))))=>(![X1065:$i]:((![X1066:$i]:(~(in @ X1066 @ X1065))=>((X1065)=(emptyset))))=>(![X1067:$i, X1068:$i > $o, X1069:$i]:(((in @ X1069 @ X1067)=>((in @ X1069 @ (dsetconstr @ X1067 @ X1068))<=>(X1068 @ X1069))))=>(![X1070:$i]:((((X1070)!=(emptyset))=>?[X1071:$i]:((in @ X1071 @ X1070))))=>(![X1940:$i, X1941:$i > $o, X1942:$i]:(((in @ X1942 @ X1940)=>((X1941 @ X1942)=>((dsetconstr @ X1940 @ X1941)!=(emptyset)))))=>(![X1072:$i]:((?[X1073:$i]:((in @ X1073 @ X1072))=>((X1072)!=(emptyset))))=>(![X1938:$i, X1939:$i]:((in @ X1938 @ (setadjoin @ X1938 @ X1939)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1935:$i, X1936:$i, X1937:$i]:(((in @ X1937 @ X1936)=>(in @ X1937 @ (setadjoin @ X1935 @ X1936))))=>(![X1931:$i, X1932:$i, X1933:$i]:(((in @ X1933 @ (setadjoin @ X1931 @ X1932))=>![X1934:$o]:(((((X1933)=(X1931))=>(X1934))=>(((in @ X1933 @ X1932)=>(X1934))=>(X1934))))))=>(![X1074:$i, X1075:$i, X1076:$i]:(((in @ X1076 @ (setadjoin @ X1074 @ X1075))=>(((X1076)=(X1074))|(in @ X1076 @ X1075))))=>(![X1930:$i]:(((dsetconstr @ X1930 @ (^[Z0:$i]:($true)))=(X1930)))=>(![X1077:$i, X1078:$i]:((![X1079:$i]:(((in @ X1079 @ X1078)=>(in @ X1079 @ X1077)))=>(in @ X1078 @ (powerset @ X1077))))=>(![X1929:$i]:((in @ emptyset @ (powerset @ X1929)))=>(![X1928:$i]:((in @ emptyset @ (powerset @ X1928)))=>(![X1925:$i, X1926:$i, X1927:$i]:(((in @ X1926 @ (powerset @ X1925))=>((in @ X1927 @ X1926)=>(in @ X1927 @ X1925))))=>(![X1922:$i, X1923:$i, X1924:$i]:(((in @ X1923 @ X1924)=>((in @ X1924 @ X1922)=>(in @ X1923 @ (setunion @ X1922)))))=>(![X1080:$i, X1081:$i]:(((in @ X1081 @ (setunion @ X1080))=>![X1082:$o]:((![X1083:$i]:(((in @ X1081 @ X1083)=>((in @ X1083 @ X1080)=>(X1082))))=>(X1082)))))=>(![X1084:$i, X1085:$i]:(((in @ X1085 @ X1084)=>(in @ X1085 @ (powerset @ (setunion @ X1084)))))=>(![X1086:$i > $o]:((?[X1087:$i]:(((X1086 @ X1087)&![X1088:$i]:(((X1086 @ X1088)=>((X1087)=(X1088))))))=>?[X1089:$i]:(![X1090:$i]:(((X1086 @ X1090)<=>((X1090)=(X1089)))))))=>(![X1091:$i]:((((X1091)!=(emptyset))=>?[X1092:$i]:(((in @ X1092 @ X1091)&$true))))=>(![X1920:$i, X1921:$i]:(((in @ X1920 @ (setadjoin @ X1921 @ emptyset))=>((X1920)=(X1921))))=>(![X1093:$i, X1094:$i]:((((X1093)!=(X1094))=>~(in @ X1094 @ (setadjoin @ X1093 @ emptyset))))=>(![X1918:$i, X1919:$i]:((((X1918)=(X1919))=>(in @ X1918 @ (setadjoin @ X1919 @ emptyset))))=>(![X1095:$i, X1096:$i]:(((in @ X1095 @ (setadjoin @ X1096 @ emptyset))=>(in @ X1096 @ (setadjoin @ X1095 @ emptyset))))=>(![X1915:$i, X1916:$i, X1917:$i]:(((in @ X1917 @ (setadjoin @ X1915 @ (setadjoin @ X1916 @ emptyset)))=>(((X1917)=(X1915))|((X1917)=(X1916)))))=>(![X1913:$i, X1914:$i]:((in @ X1913 @ (setadjoin @ X1913 @ (setadjoin @ X1914 @ emptyset))))=>(![X1097:$i, X1098:$i]:((in @ X1098 @ (setadjoin @ X1097 @ (setadjoin @ X1098 @ emptyset))))=>(![X1910:$i, X1911:$i > $o]:((?[X1912:$i]:(((in @ X1912 @ X1910)&(X1911 @ X1912)))=>(((dsetconstr @ X1910 @ X1911)=(emptyset))=>~($true))))=>(![X1099:$i > $o, X1100:$i]:(((in @ X1100 @ emptyset)=>(X1099 @ X1100)))=>(![X1906:$i, X1907:$i > $o]:((~(![X1908:$i]:(((in @ X1908 @ X1906)=>(X1907 @ X1908))))=>?[X1909:$i]:(((in @ X1909 @ X1906)&~((X1907 @ X1909))))))=>(![X1101:$i, X1102:$i > $o]:((![X1103:$i]:(((in @ X1103 @ X1101)=>~((X1102 @ X1103))))=>~(?[X1104:$i]:(((in @ X1104 @ X1101)&(X1102 @ X1104))))))=>(![X1902:$i, X1903:$i > $o]:((~(?[X1904:$i]:(((in @ X1904 @ X1902)&(X1903 @ X1904))))=>![X1905:$i]:(((in @ X1905 @ X1902)=>~((X1903 @ X1905))))))=>(![X1105:$i, X1106:$i > $o]:((?[X1107:$i]:(((in @ X1107 @ X1105)&~((X1106 @ X1107))))=>~(![X1108:$i]:(((in @ X1108 @ X1105)=>(X1106 @ X1108))))))=>(![X1109:$o]:(((X1109)=>(in @ emptyset @ (prop2set @ ((X1109))))))=>(![X1110:$o]:(((X1110)=>(set2prop @ (prop2set @ ((X1110))))))=>(![X1111:$i, X1112:$i > $o]:((~(?[X1113:$i]:(((in @ X1113 @ X1111)&(X1112 @ X1113))))=>![X1114:$i]:(((in @ X1114 @ X1111)=>~((X1112 @ X1114))))))=>(![X1115:$i, X1116:$i > $o]:((~(![X1117:$i]:(((in @ X1117 @ X1115)=>(X1116 @ X1117))))=>?[X1118:$i]:(((in @ X1118 @ X1115)&~((X1116 @ X1118))))))=>(![X1897:$i > $o]:((?[X1898:$i]:(((X1897 @ X1898)&![X1899:$i]:(((X1897 @ X1899)=>((X1898)=(X1899))))))=>?[X1900:$i]:(((X1897 @ X1900)&![X1901:$i]:(((X1897 @ X1901)=>((X1900)=(X1901))))))))=>(![X1119:$i > $o]:((?[X1120:$i]:((X1119 @ X1120))=>(![X1121:$i, X1122:$i]:(((X1119 @ X1121)=>((X1119 @ X1122)=>((X1121)=(X1122)))))=>?[X1123:$i]:(((X1119 @ X1123)&![X1124:$i]:(((X1119 @ X1124)=>((X1123)=(X1124)))))))))=>(![X1125:$i > $o]:((?[X1126:$i]:(![X1127:$i]:(((X1125 @ X1127)<=>((X1127)=(X1126)))))=>?[X1128:$i]:(((X1125 @ X1128)&![X1129:$i]:(((X1125 @ X1129)=>((X1128)=(X1129))))))))=>(![X1893:$i, X1894:$i]:((((X1893)=(X1894))=>![X1895:$i, X1896:$i]:((((X1895)=(X1896))=>((in @ X1895 @ X1893)=>(in @ X1896 @ X1894))))))=>(![X1889:$i, X1890:$i]:((((X1889)=(X1890))=>![X1891:$i, X1892:$i]:((((X1891)=(X1892))=>((in @ X1891 @ X1889)<=>(in @ X1892 @ X1890))))))=>(![X1884:$i > $o]:((?[X1885:$i]:(((X1884 @ X1885)&![X1886:$i]:(((X1884 @ X1886)=>((X1885)=(X1886))))))=>![X1887:$i, X1888:$i]:(((X1884 @ X1887)=>((X1884 @ X1888)=>((X1887)=(X1888)))))))=>(![X1130:$i > $o, X1131:$i > $o]:((![X1132:$i, X1133:$i]:((((X1132)=(X1133))=>((X1130 @ X1132)<=>(X1131 @ X1133))))=>(?[X1134:$i]:(((X1130 @ X1134)&![X1135:$i]:(((X1130 @ X1135)=>((X1134)=(X1135))))))<=>?[X1136:$i]:(((X1131 @ X1136)&![X1137:$i]:(((X1131 @ X1137)=>((X1136)=(X1137)))))))))=>(((emptyset)=(emptyset))=>(![X1880:$i, X1881:$i]:((((X1880)=(X1881))=>![X1882:$i, X1883:$i]:((((X1882)=(X1883))=>((setadjoin @ X1880 @ X1882)=(setadjoin @ X1881 @ X1883))))))=>(![X1878:$i, X1879:$i]:((((X1878)=(X1879))=>((powerset @ X1878)=(powerset @ X1879))))=>(![X1138:$i, X1139:$i]:((((X1138)=(X1139))=>((setunion @ X1138)=(setunion @ X1139))))=>(((omega)=(omega))=>(![X1140:$i > $o]:((?[X1141:$i]:(((X1140 @ X1141)&![X1142:$i]:(((X1140 @ X1142)=>((X1141)=(X1142))))))=>![X1143:$i, X1144:$i]:(((X1140 @ X1143)=>((X1140 @ X1144)=>((X1143)=(X1144)))))))=>(![X1870:$i > $o, X1871:$i > $o]:((![X1872:$i, X1873:$i]:((((X1872)=(X1873))=>((X1870 @ X1872)<=>(X1871 @ X1873))))=>(?[X1874:$i]:(((X1870 @ X1874)&![X1875:$i]:(((X1870 @ X1875)=>((X1874)=(X1875))))))=>(?[X1876:$i]:(((X1871 @ X1876)&![X1877:$i]:(((X1871 @ X1877)=>((X1876)=(X1877))))))=>((descr @ X1870)=(descr @ X1871))))))=>(![X1145:$i, X1146:$i]:((((X1145)=(X1146))=>![X1147:$i > $o, X1148:$i > $o]:((![X1149:$i]:(((in @ X1149 @ X1145)=>![X1150:$i]:(((in @ X1150 @ X1146)=>(((X1149)=(X1150))=>((X1147 @ X1149)<=>(X1148 @ X1150)))))))=>((dsetconstr @ X1145 @ X1147)=(dsetconstr @ X1146 @ X1148))))))=>(![X1867:$i, X1868:$i]:((![X1869:$i]:(((in @ X1869 @ X1867)=>(in @ X1869 @ X1868)))=>(subset @ X1867 @ X1868)))=>(![X1865:$i, X1866:$i]:((((X1865)=(X1866))=>(subset @ X1866 @ X1865)))=>(![X1151:$i, X1152:$i]:((((X1151)=(X1152))=>(subset @ X1151 @ X1152)))=>(![X1153:$i, X1154:$i]:((![X1155:$i]:(((in @ X1155 @ X1153)=>(in @ X1155 @ X1154)))=>(subset @ X1153 @ X1154)))=>(![X1864:$i]:((subset @ emptyset @ X1864))=>(![X1861:$i, X1862:$i, X1863:$i]:(((subset @ X1861 @ X1862)=>((in @ X1863 @ X1861)=>(in @ X1863 @ X1862))))=>(![X1156:$i, X1157:$i, X1158:$i]:(((subset @ X1156 @ X1157)=>(~(in @ X1158 @ X1157)=>~(in @ X1158 @ X1156))))=>(![X1858:$i, X1859:$i, X1860:$i]:(((in @ X1860 @ X1858)=>(~(in @ X1860 @ X1859)=>~(subset @ X1858 @ X1859))))=>(![X1159:$i, X1160:$i]:((~(subset @ X1159 @ X1160)=>((X1159)!=(X1160))))=>(![X1161:$i, X1162:$i, X1163:$i]:(((in @ X1163 @ X1161)=>(~(in @ X1163 @ X1162)=>((X1161)!=(X1162)))))=>(![X1857:$i]:((subset @ X1857 @ X1857))=>(![X1164:$i, X1165:$i, X1166:$i]:(((subset @ X1164 @ X1165)=>((subset @ X1165 @ X1166)=>(subset @ X1164 @ X1166))))=>(![X1167:$i, X1168:$i]:((subset @ X1168 @ (setadjoin @ X1167 @ X1168)))=>(![X1169:$i, X1170:$i, X1171:$i]:(((subset @ X1169 @ X1171)=>(subset @ X1169 @ (setadjoin @ X1170 @ X1171))))=>(![X1172:$i, X1173:$i]:(((subset @ X1172 @ X1173)=>(in @ X1172 @ (powerset @ X1173))))=>(![X1174:$i, X1175:$i]:(((subset @ X1174 @ X1175)=>((subset @ X1175 @ X1174)=>((X1174)=(X1175)))))=>(![X1176:$i]:(((subset @ X1176 @ emptyset)=>((X1176)=(emptyset))))=>(![X1855:$i, X1856:$i]:(((subset @ X1856 @ X1855)=>(in @ X1856 @ (powerset @ X1855))))=>(![X1853:$i, X1854:$i]:(((in @ X1854 @ (powerset @ X1853))=>(subset @ X1854 @ X1853)))=>(![X1852:$i]:((in @ X1852 @ (powerset @ X1852)))=>(![X1177:$i, X1178:$i]:(((subset @ X1177 @ X1178)=>(subset @ (powerset @ X1177) @ (powerset @ X1178))))=>(![X1850:$i, X1851:$i > $o]:((in @ (dsetconstr @ X1850 @ X1851) @ (powerset @ X1850)))=>(![X1848:$i, X1849:$i > $o]:((subset @ (dsetconstr @ X1848 @ X1849) @ X1848))=>(![X1179:$i, X1180:$i, X1181:$i]:(((in @ X1181 @ X1179)=>(in @ X1181 @ (binunion @ X1179 @ X1180))))=>(![X1182:$i, X1183:$i]:((in @ X1183 @ (setadjoin @ X1182 @ (setadjoin @ X1183 @ emptyset))))=>(![X1845:$i, X1846:$i, X1847:$i]:(((in @ X1847 @ X1846)=>(in @ X1847 @ (binunion @ X1845 @ X1846))))=>(![X1841:$i, X1842:$i, X1843:$i, X1844:$o]:(((in @ X1843 @ (binunion @ X1841 @ X1842))=>(((in @ X1843 @ X1841)=>(X1844))=>(((in @ X1843 @ X1842)=>(X1844))=>(X1844)))))=>(![X1184:$i, X1185:$i, X1186:$i]:(((in @ X1186 @ (binunion @ X1184 @ X1185))=>((in @ X1186 @ X1184)|(in @ X1186 @ X1185))))=>(![X1839:$i, X1840:$i]:((subset @ X1839 @ (binunion @ X1839 @ X1840)))=>(![X1837:$i, X1838:$i]:((subset @ X1838 @ (binunion @ X1837 @ X1838)))=>(![X1187:$i, X1188:$i, X1189:$i]:(((in @ X1189 @ X1187)=>((in @ X1189 @ X1188)=>(in @ X1189 @ (binintersect @ X1187 @ X1188)))))=>(![X1834:$i, X1835:$i, X1836:$i]:(((subset @ X1836 @ X1834)=>((subset @ X1836 @ X1835)=>(subset @ X1836 @ (binintersect @ X1834 @ X1835)))))=>(![X1190:$i, X1191:$i, X1192:$i]:(((in @ X1192 @ (binintersect @ X1190 @ X1191))=>(in @ X1192 @ X1190)))=>(![X1832:$i, X1833:$i]:((subset @ (binintersect @ X1832 @ X1833) @ X1832))=>(![X1830:$i, X1831:$i]:(((subset @ X1830 @ X1831)=>((binintersect @ X1830 @ X1831)=(X1830))))=>(![X1193:$i, X1194:$i]:((((binintersect @ X1193 @ X1194)=(X1194))=>(subset @ X1194 @ X1193)))=>(![X1195:$i, X1196:$i, X1197:$i]:(((in @ X1197 @ (binintersect @ X1195 @ X1196))=>(in @ X1197 @ X1196)))=>(![X1198:$i, X1199:$i]:((~(?[X1200:$i]:(((in @ X1200 @ X1198)&(in @ X1200 @ X1199))))=>((binintersect @ X1198 @ X1199)=(emptyset))))=>(![X1201:$i, X1202:$i]:((subset @ (binintersect @ X1201 @ X1202) @ X1202))=>(![X1203:$i, X1204:$i]:(((subset @ X1204 @ X1203)=>((binintersect @ X1203 @ X1204)=(X1204))))=>(![X1205:$i, X1206:$i]:((((binintersect @ X1205 @ X1206)=(X1205))=>(subset @ X1205 @ X1206)))=>(![X1207:$i, X1208:$i, X1209:$i]:(((binintersect @ X1207 @ (binunion @ X1208 @ X1209))=(binunion @ (binintersect @ X1207 @ X1208) @ (binintersect @ X1207 @ X1209))))=>(![X1210:$i, X1211:$i, X1212:$i]:(((in @ X1212 @ X1210)=>(~(in @ X1212 @ X1211)=>(in @ X1212 @ (setminus @ X1210 @ X1211)))))=>(![X1213:$i, X1214:$i, X1215:$i]:(((in @ X1215 @ (setminus @ X1213 @ X1214))=>(in @ X1215 @ X1213)))=>(![X1216:$i, X1217:$i, X1218:$i]:(((in @ X1218 @ (setminus @ X1216 @ X1217))=>~(in @ X1218 @ X1217)))=>(![X1828:$i, X1829:$i]:(((subset @ X1828 @ X1829)=>((setminus @ X1828 @ X1829)=(emptyset))))=>(![X1219:$i, X1220:$i, X1221:$i]:((~(in @ X1221 @ (setminus @ X1219 @ X1220))=>((in @ X1221 @ X1219)=>(in @ X1221 @ X1220))))=>(![X1825:$i, X1826:$i, X1827:$i]:((~(in @ X1827 @ (setminus @ X1825 @ X1826))=>(~(in @ X1827 @ X1826)=>~(in @ X1827 @ X1825))))=>(![X1222:$i, X1223:$i, X1224:$i]:((~(in @ X1224 @ X1222)=>~(in @ X1224 @ (setminus @ X1222 @ X1223))))=>(![X1225:$i, X1226:$i, X1227:$i]:(((in @ X1227 @ X1226)=>~(in @ X1227 @ (setminus @ X1225 @ X1226))))=>(![X1228:$i, X1229:$i]:((subset @ (setminus @ X1228 @ X1229) @ X1228))=>(![X1230:$i, X1231:$i]:((((setminus @ X1230 @ X1231)=(emptyset))=>(subset @ X1230 @ X1231)))=>(![X1821:$i, X1822:$i, X1823:$i]:(((in @ X1823 @ (symdiff @ X1821 @ X1822))=>![X1824:$o]:((((in @ X1823 @ X1821)=>(~(in @ X1823 @ X1822)=>(X1824)))=>((~(in @ X1823 @ X1821)=>((in @ X1823 @ X1822)=>(X1824)))=>(X1824))))))=>(![X1232:$i, X1233:$i, X1234:$i]:(((in @ X1234 @ X1232)=>(~(in @ X1234 @ X1233)=>(in @ X1234 @ (symdiff @ X1232 @ X1233)))))=>(![X1818:$i, X1819:$i, X1820:$i]:((~(in @ X1820 @ X1818)=>((in @ X1820 @ X1819)=>(in @ X1820 @ (symdiff @ X1818 @ X1819)))))=>(![X1235:$i, X1236:$i, X1237:$i]:(((in @ X1237 @ X1235)=>((in @ X1237 @ X1236)=>~(in @ X1237 @ (symdiff @ X1235 @ 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c_0_359]), c_0_360]), funcGraphProp1]), funcGraphProp3]), funcGraphProp2]), funcextLem]), funcGraphProp4]), c_0_361]), c_0_362]), funcext]), funcext2]), ap2apEq1]), ap2apEq2]), c_0_363]), c_0_364]), c_0_365]), c_0_366]), c_0_367]), c_0_368]), c_0_369]), c_0_370]), c_0_371]), c_0_372]), ifp]), theeq]), iftrue]), iffalse]), iftrueorfalse]), binintersectT_lem]), binunionT_lem]), powersetT_lem]), setminusT_lem]), complementT_lem]), setextT]), subsetTI]), powersetTI1]), powersetTE1]), complementTI1]), complementTE1]), binintersectTELcontra]), binintersectTERcontra]), contrasubsetT]), contrasubsetT1]), contrasubsetT2]), contrasubsetT3]), doubleComplementI1]), doubleComplementE1]), doubleComplementSub1]), doubleComplementSub2]), doubleComplementEq]), complementTnotintersectT]), complementImpComplementIntersect]), complementSubsetComplementIntersect]), complementInPowersetComplementIntersect]), contraSubsetComplement]), complementTcontraSubset]), binunionTILcontra]), binunionTIRcontra]), inIntersectImpInUnion]), inIntersectImpInUnion2]), inIntersectImpInIntersectUnions]), intersectInPowersetIntersectUnions]), inComplementUnionImpNotIn1]), inComplementUnionImpInComplement1]), binunionTE]), binunionTEcontra]), demorgan2a1]), complementUnionInPowersetComplement]), demorgan2a2]), demorgan1a]), demorgan1b]), demorgan1]), demorgan2a]), demorgan2b2]), demorgan2b]), demorgan2]), woz13rule0]), woz13rule1]), woz13rule2]), woz13rule3]), woz13rule4]), woz1_1]), woz1_2]), woz1_3]), woz1_4]), woz1_5]), c_0_312]), c_0_373]), c_0_374]), c_0_375]), c_0_376]), c_0_377])])]), c_0_378])).
3.65/1.15	thf(c_0_380, negated_conjecture, ![X1976:$i, X1977:$i, X1979:$i, X1980:$i, X1981:$i, X1982:$i, X1983:$i, X1984:$i, X1985:$i, X1986:$i, X1987:$i, X1989:$i, X1990:$i, X1992:$i, X1993:$i, X1994:$i, X1995:$i, X1996:$i, X1998:$i, X1999:$i > $i > $o, X2000:$i, X2002:$i, X2005:$i, X2007:$i, X2008:$i, X2009:$i, X2010:$i, X2012:$i, X2013:$i > $o, X2014:$i, X2016:$i, X2017:$i > $o, X2018:$i, X2019:$i, X2020:$i > $o, X2021:$i, X2022:$i, X2023:$i > $o, X2024:$i, X2025:$i > $o, X2026:$i, X2029:$i, X2030:$o, X2031:$i, X2032:$i, X2033:$o, X2034:$i, X2035:$i, X2036:$i > $o, X2037:$i, X2040:$i, X2041:$i, X2044:$i, X2046:$i, X2048:$i, X2049:$i > $o, X2050:$i, X2051:$i, X2053:$i, X2054:$i > $o, X2055:$i, X2056:$i, X2057:$i, X2058:$i, X2059:$i, X2060:$i, X2061:$i, X2062:$i, X2063:$i, X2064:$i, X2065:$i, X2066:$o, X2067:$i, X2068:$i, X2069:$i, X2070:$i, X2071:$i, X2072:$i, X2074:$i, X2075:$i, X2076:$i, X2077:$i, X2078:$i, X2079:$i, X2080:$i, X2081:$i, X2082:$i, X2083:$i, X2084:$o, X2086:$i, X2087:$i, X2088:$i > $o, X2089:$i, X2092:$i, X2093:$i, X2094:$i, X2096:$i, X2097:$i, X2098:$i, X2099:$i, X2100:$i, X2101:$i, X2102:$i, X2103:$i, X2104:$i, X2105:$i, X2106:$i, X2107:$i, X2108:$i, X2109:$i, X2110:$i, X2111:$i, X2112:$i > $o, X2113:$i, X2114:$i > $o, X2115:$i, X2116:$i, X2117:$i > $o, X2118:$i, X2120:$i, X2121:$i > $o, X2123:$i, X2124:$i, X2125:$i > $o, X2127:$i, X2128:$i, X2129:$i > $o, X2130:$i, X2132:$o, X2133:$o, X2134:$i, X2135:$i > $o, X2137:$i, X2138:$i, X2139:$i > $o, X2140:$i, X2142:$i > $o, X2143:$i, X2146:$i, X2147:$i > $o, X2148:$i, X2152:$i, X2153:$i > $o, X2154:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$i, X2162:$i, X2163:$i, X2164:$i, X2165:$i, X2166:$i > $o, X2167:$i, X2169:$i, X2170:$i, X2171:$i > $o, X2172:$i > $o, X2175:$i, X2178:$i, X2179:$i, X2182:$i, X2183:$i, X2184:$i, X2185:$i, X2186:$i, X2187:$i, X2188:$i, X2189:$i, X2190:$i, X2191:$i > $o, X2192:$i, X2194:$i, X2195:$i, X2196:$i > $o, X2197:$i > $o, X2200:$i, X2202:$i, X2204:$i, X2205:$i, X2206:$i > $o, X2207:$i > $o, X2210:$i, X2211:$i, X2213:$i, X2214:$i, X2215:$i, X2216:$i, X2217:$i, X2218:$i, X2220:$i, X2221:$i, X2222:$i, X2223:$i, X2224:$i, X2225:$i, X2226:$i, X2227:$i, X2228:$i, X2229:$i, X2230:$i, X2231:$i, X2232:$i, X2233:$i, X2234:$i, X2235:$i, X2236:$i, X2237:$i, X2238:$i, X2239:$i, X2240:$i, X2241:$i, X2242:$i, X2243:$i, X2244:$i, X2245:$i, X2246:$i, X2247:$i, X2248:$i, X2249:$i, X2250:$i, X2251:$i, X2252:$i, X2253:$i, X2254:$i, X2255:$i, X2256:$i, X2257:$i > $o, X2258:$i, X2259:$i > $o, X2260:$i, X2261:$i, X2262:$i, X2263:$i, X2264:$i, X2265:$i, X2266:$i, X2267:$i, X2268:$i, X2269:$i, X2270:$i, X2271:$o, X2272:$i, X2273:$i, X2274:$i, X2275:$i, X2276:$i, X2277:$i, X2278:$i, X2279:$i, X2280:$i, X2281:$i, X2282:$i, X2283:$i, X2284:$i, X2285:$i, X2286:$i, X2287:$i, X2288:$i, X2289:$i, X2290:$i, X2291:$i, X2292:$i, X2293:$i, X2294:$i, X2295:$i, X2296:$i, X2297:$i, X2298:$i, X2300:$i, X2301:$i, X2302:$i, X2303:$i, X2304:$i, X2305:$i, X2306:$i, X2307:$i, X2308:$i, X2309:$i, X2310:$i, X2311:$i, X2312:$i, X2313:$i, X2314:$i, X2315:$i, X2316:$i, X2317:$i, X2318:$i, X2319:$i, X2320:$i, X2321:$i, X2322:$i, X2323:$i, X2324:$i, X2325:$i, X2326:$i, X2327:$i, X2328:$i, X2329:$i, X2330:$i, X2331:$i, X2332:$i, X2333:$i, X2334:$i, X2335:$i, X2336:$i, X2337:$i, X2338:$i, X2339:$o, X2340:$i, X2341:$i, X2342:$i, X2343:$i, X2344:$i, X2345:$i, X2346:$i, X2347:$i, X2348:$i, X2349:$i, X2350:$i, X2351:$i, X2352:$i, X2353:$i, X2354:$i, X2355:$i, X2356:$i, X2357:$i, X2358:$i, X2359:$i, X2360:$i, X2361:$i, X2362:$i, X2363:$i, X2364:$i, X2365:$i, X2366:$i, X2367:$i, X2368:$i, X2369:$i, X2370:$i, X2371:$i, X2372:$i, X2373:$i, X2374:$i, X2375:$i, X2376:$i, X2377:$i, X2378:$i, X2379:$i, X2380:$i, X2381:$i, X2382:$i, X2383:$i, X2384:$i, X2385:$i, X2386:$i, X2387:$i, X2388:$i, X2389:$i, X2390:$i, X2391:$i, X2392:$i, X2393:$i, X2394:$i, X2395:$i, X2396:$i, X2397:$i, X2398:$i, X2401:$i, X2402:$i, X2403:$i, X2404:$i, X2405:$i, X2407:$i, X2408:$i, X2409:$i, X2410:$i, X2411:$i > $o, X2414:$i, X2415:$i, X2416:$i > $o, X2418:$i, X2419:$i > $o, X2420:$i, X2422:$i, X2423:$i > $o, X2426:$i, X2427:$i, X2428:$i, X2429:$i, X2430:$i, X2431:$i, X2432:$i, X2433:$i, X2434:$i, X2435:$i, X2436:$i, X2437:$i, X2438:$i, X2439:$i, X2440:$i, X2441:$i, X2442:$i, X2443:$i, X2444:$i, X2445:$i, X2446:$i, X2447:$i, X2448:$i, X2449:$i, X2450:$i, X2451:$i, X2452:$i, X2453:$i, X2454:$i, X2455:$i, X2456:$i, X2457:$i, X2458:$i, X2459:$i, X2460:$i, X2461:$i, X2462:$i, X2463:$i, X2464:$i, X2465:$i, X2466:$i, X2467:$i, X2468:$i, X2469:$i, X2470:$i, X2471:$i, X2472:$i, X2473:$i, X2474:$i, X2475:$i, X2476:$i, X2477:$i, X2478:$i, X2479:$i, X2480:$i, X2481:$i, X2482:$i, X2483:$i, X2484:$i, X2485:$i, X2486:$i, X2487:$i, X2488:$i, X2489:$i, X2490:$i, X2491:$i, X2492:$i, X2493:$i, X2494:$i, X2495:$i, X2496:$i, X2497:$i, X2498:$i > $i > $o, X2499:$i, X2500:$i, X2501:$i, X2502:$i, X2503:$i > $i > $o, X2504:$i, X2505:$i, X2506:$i > $i > $o, X2507:$i, X2508:$i, X2509:$i > $i > $o, X2510:$i, X2511:$i, X2512:$i, X2513:$i, X2514:$i > $i > $o, X2515:$i, X2516:$i, X2517:$i, X2518:$i, X2519:$i > $i > $o, X2520:$i, X2521:$i, X2522:$i, X2523:$i, X2524:$i > $i > $o, X2525:$i, X2526:$i, X2527:$i, X2528:$i, X2529:$i, X2530:$i, X2531:$i, X2532:$i, X2533:$i, X2534:$i, X2535:$i, X2536:$i, X2537:$i, X2538:$i, X2539:$i, X2540:$i, X2541:$i, X2542:$i, X2543:$i, X2544:$i, X2545:$i, X2546:$i, X2547:$i, X2548:$i, X2549:$i, X2550:$i, X2551:$i > $i, X2553:$i, X2554:$i, X2555:$i > $i, X2557:$i, X2558:$i, X2559:$i > $i, X2561:$i, X2562:$i, X2563:$i, X2564:$i > $o, X2567:$i, X2568:$i, X2569:$i, X2570:$i, X2571:$i > $o, X2574:$i, X2575:$i, X2576:$i > $o, X2577:$i, X2578:$i, X2579:$i, X2580:$i, X2581:$i, X2582:$i, X2583:$i, X2584:$i, X2585:$i, X2586:$i, X2587:$i, X2588:$i, X2589:$i, X2590:$i, X2591:$i, X2592:$i, X2593:$i, X2594:$i, X2595:$i, X2597:$i, X2598:$i, X2599:$i, X2600:$i, X2601:$i, X2602:$i, X2603:$i, X2604:$i, X2605:$i, X2606:$i, X2607:$i, X2610:$i, X2611:$i, X2612:$i, X2613:$i, X2618:$i, X2619:$i, X2620:$i, X2621:$i, X2623:$i, X2624:$i, X2625:$i, X2626:$i, X2628:$i, X2629:$i, X2630:$i, X2631:$i, X2632:$i, X2633:$i, X2634:$i, X2635:$i, X2636:$i, X2637:$i, X2638:$i > $i, X2640:$i, X2641:$i, X2642:$i, X2643:$i, X2644:$i, X2645:$i, X2646:$i > $i, X2648:$i, X2649:$i, X2650:$i > $i, X2652:$i, X2653:$i, X2654:$i, X2655:$i, X2656:$i, X2657:$o, X2658:$i, X2659:$i, X2660:$i, X2661:$o, X2662:$i, X2663:$i, X2664:$i, X2665:$o, X2666:$i, X2667:$i, X2668:$i, X2669:$o, X2670:$i, X2671:$i, X2672:$i, X2673:$o, X2674:$i, X2675:$i, X2676:$i, X2677:$o, X2678:$i, X2679:$i, X2680:$i, X2681:$i, X2682:$i, X2683:$o, X2684:$i, X2685:$i, X2686:$i, X2687:$o, X2688:$i, X2689:$i, X2690:$i, X2691:$o, X2692:$i, X2693:$i, X2694:$i, X2695:$i, X2696:$i, X2697:$i, X2698:$i, X2699:$i, X2700:$i, X2701:$i, X2702:$i, X2703:$i, X2704:$i, X2705:$i, X2706:$i, X2707:$i, X2708:$i, X2709:$i, X2712:$i, X2713:$i, X2714:$i, X2716:$i, X2717:$i, X2718:$i, X2720:$i, X2721:$i, X2722:$i, X2723:$i, X2724:$i, X2725:$i, X2726:$i, X2727:$i, X2728:$i, X2729:$i, X2730:$i, X2731:$i, X2732:$i, X2733:$i, X2734:$i, X2735:$i, X2736:$i, X2737:$i, X2738:$i, X2739:$i, X2740:$i, X2741:$i, X2742:$i, X2743:$i, X2744:$i, X2745:$i, X2746:$i, X2747:$i, X2748:$i, X2749:$i, X2750:$i, X2751:$i, X2752:$i, X2753:$i, X2754:$i, X2755:$i, X2756:$i, X2757:$i, X2758:$i, X2759:$i, X2760:$i, X2761:$i, X2762:$i, X2763:$i, X2764:$i, X2765:$i, X2766:$i, X2767:$i, X2768:$i, X2769:$i, X2770:$i, X2771:$i, X2772:$i, X2773:$i, X2774:$i, X2775:$i, X2776:$i, X2777:$i, X2778:$i, X2779:$i, X2780:$i, X2781:$i, X2782:$i, X2783:$i, X2784:$i, X2785:$i, X2786:$i, X2787:$i, X2788:$i, X2789:$i, X2790:$i, X2791:$i, X2792:$i, X2793:$i, X2794:$i, X2795:$i, X2796:$i, X2797:$i, X2798:$i, X2799:$i, X2800:$i, X2801:$i, X2802:$i, X2803:$i, X2804:$i, X2805:$i, X2806:$i, X2807:$i, X2808:$i, X2809:$i, X2810:$i, X2811:$i, X2812:$i, X2813:$i, X2814:$i, X2815:$i, X2816:$i, X2817:$i, X2818:$i, X2819:$i, X2820:$i, X2821:$i, X2822:$i, X2823:$o, X2824:$i, X2825:$i, X2826:$i, X2827:$i, X2828:$i, X2829:$i, X2830:$i, X2831:$i, X2832:$i, X2833:$i, X2834:$i, X2835:$i, X2836:$i, X2837:$i, X2838:$i, X2839:$i, X2840:$i, X2841:$i, X2842:$i, X2843:$i, X2844:$i, X2845:$i, X2846:$i, X2847:$i, X2848:$i, X2849:$i, X2850:$i, X2851:$i, X2852:$i, X2853:$i, X2854:$i, X2855:$i, X2856:$i, X2857:$i, X2858:$i, X2859:$i, X2860:$i, X2861:$i, X2862:$i, X2863:$i, X2864:$i, X2865:$i, X2866:$i, X2867:$i, X2868:$i, X2869:$i, X2870:$i, X2871:$i, X2872:$i, X2873:$i, X2874:$i, X2875:$i, X2876:$i, X2877:$i, X2878:$i, X2879:$i, X2880:$i, X2881:$i, X2882:$i, X2883:$i, X2884:$i, X2885:$i, X2886:$i, X2887:$i, X2888:$i, X2889:$i, X2890:$i, X2891:$i, X2892:$i, X2893:$i, X2894:$i, X2895:$i, X2896:$i, X2897:$i, X2898:$i, X2899:$i, X2900:$i, X2901:$i, X2902:$i, X2903:$i, X2904:$i, X2905:$i, X2906:$i, X2907:$i > $o, X2910:$i, X2911:$i, X2912:$i, X2913:$i, X2914:$i, X2915:$i > $i > $o, X2917:$i, X2918:$i, X2919:$i, X2920:$i, X2921:$i > $i > $o, X2922:$i, X2923:$i, X2924:$i > $o, X2927:$i, X2931:$i, X2932:$i]:((((~(in @ (esk1_2 @ X1976 @ X1977) @ X1976)|~(in @ (esk1_2 @ X1976 @ X1977) @ X1977)|((X1976)=(X1977)))&((in @ (esk1_2 @ X1976 @ X1977) @ X1976)|(in @ (esk1_2 @ X1976 @ X1977) @ X1977)|((X1976)=(X1977))))&(~(in @ X1979 @ emptyset)&(((~(in @ X1982 @ (setadjoin @ X1980 @ X1981))|(((X1982)=(X1980))|(in @ X1982 @ X1981)))&((((X1982)!=(X1980))|(in @ X1982 @ (setadjoin @ X1980 @ X1981)))&(~(in @ X1982 @ X1981)|(in @ X1982 @ (setadjoin @ X1980 @ X1981)))))&(((~(in @ X1984 @ (powerset @ X1983))|(~(in @ X1985 @ X1984)|(in @ X1985 @ X1983)))&(((in @ (esk2_2 @ X1986 @ X1987) @ X1987)|(in @ X1987 @ (powerset @ X1986)))&(~(in @ (esk2_2 @ X1986 @ X1987) @ X1986)|(in @ X1987 @ (powerset @ X1986)))))&(((((in @ X1990 @ (esk3_2 @ X1989 @ X1990))|~(in @ X1990 @ (setunion @ X1989)))&((in @ (esk3_2 @ X1989 @ X1990) @ X1989)|~(in @ X1990 @ (setunion @ X1989))))&(~(in @ X1993 @ X1994)|~(in @ X1994 @ X1992)|(in @ X1993 @ (setunion @ X1992))))&((in @ emptyset @ omega)&((~(in @ X1995 @ omega)|(in @ (setadjoin @ X1995 @ X1995) @ omega))&(((((in @ (esk4_1 @ X1996) @ omega)|~(in @ emptyset @ X1996)|(~(in @ X1998 @ omega)|(in @ X1998 @ X1996)))&((in @ (esk4_1 @ X1996) @ X1996)|~(in @ emptyset @ X1996)|(~(in @ X1998 @ omega)|(in @ X1998 @ X1996))))&(~(in @ (setadjoin @ (esk4_1 @ X1996) @ (esk4_1 @ X1996)) @ X1996)|~(in @ emptyset @ X1996)|(~(in @ X1998 @ omega)|(in @ X1998 @ X1996))))&((((((in @ (esk8_3 @ X1999 @ X2000 @ X2005) @ X2000)|~(in @ X2005 @ (esk7_2 @ X1999 @ X2000))|(in @ (esk5_2 @ X1999 @ X2000) @ X2000))&((X1999 @ (esk8_3 @ X1999 @ X2000 @ X2005) @ X2005)|~(in @ X2005 @ (esk7_2 @ X1999 @ X2000))|(in @ (esk5_2 @ X1999 @ X2000) @ X2000)))&(~(in @ X2008 @ X2000)|~(X1999 @ X2008 @ X2007)|(in @ X2007 @ (esk7_2 @ X1999 @ X2000))|(in @ (esk5_2 @ X1999 @ X2000) @ X2000)))&(((((in @ (esk8_3 @ X1999 @ X2000 @ X2005) @ X2000)|~(in @ X2005 @ (esk7_2 @ X1999 @ X2000))|((X1999 @ (esk5_2 @ X1999 @ X2000) @ (esk6_3 @ X1999 @ X2000 @ X2002))|~(X1999 @ (esk5_2 @ X1999 @ X2000) @ X2002)))&((X1999 @ (esk8_3 @ X1999 @ X2000 @ X2005) @ X2005)|~(in @ X2005 @ (esk7_2 @ X1999 @ X2000))|((X1999 @ (esk5_2 @ X1999 @ X2000) @ (esk6_3 @ X1999 @ X2000 @ X2002))|~(X1999 @ (esk5_2 @ X1999 @ X2000) @ X2002))))&(~(in @ X2008 @ X2000)|~(X1999 @ X2008 @ X2007)|(in @ X2007 @ (esk7_2 @ X1999 @ X2000))|((X1999 @ (esk5_2 @ X1999 @ X2000) @ (esk6_3 @ X1999 @ X2000 @ X2002))|~(X1999 @ (esk5_2 @ X1999 @ X2000) @ X2002))))&((((in @ (esk8_3 @ X1999 @ X2000 @ X2005) @ X2000)|~(in @ X2005 @ (esk7_2 @ X1999 @ X2000))|(((X2002)!=(esk6_3 @ X1999 @ X2000 @ X2002))|~(X1999 @ (esk5_2 @ X1999 @ X2000) @ X2002)))&((X1999 @ (esk8_3 @ X1999 @ X2000 @ X2005) @ X2005)|~(in @ X2005 @ (esk7_2 @ X1999 @ X2000))|(((X2002)!=(esk6_3 @ X1999 @ X2000 @ X2002))|~(X1999 @ (esk5_2 @ X1999 @ X2000) @ X2002))))&(~(in @ X2008 @ X2000)|~(X1999 @ X2008 @ X2007)|(in @ X2007 @ (esk7_2 @ X1999 @ X2000))|(((X2002)!=(esk6_3 @ X1999 @ X2000 @ X2002))|~(X1999 @ (esk5_2 @ X1999 @ X2000) @ X2002))))))&((((in @ (esk9_1 @ X2009) @ X2009)|~(in @ X2010 @ X2009))&(~(in @ X2012 @ (esk9_1 @ X2009))|~(in @ X2012 @ X2009)|~(in @ X2010 @ X2009)))&((epred1_0)&((((X2013 @ (esk10_2 @ X2013 @ X2014))|~(X2013 @ X2014)|(X2013 @ (descr @ X2013)))&(((X2014)!=(esk10_2 @ X2013 @ X2014))|~(X2013 @ X2014)|(X2013 @ (descr @ X2013))))&((~(in @ X2018 @ X2016)|(~(X2017 @ X2018)|(in @ X2018 @ (dsetconstr @ X2016 @ X2017))))&((~(in @ X2021 @ (dsetconstr @ X2019 @ X2020))|(in @ X2021 @ X2019))&((~(in @ X2024 @ (dsetconstr @ X2022 @ X2023))|(X2023 @ X2024))&(((((X2025 @ (esk12_1 @ X2025))|((X2025 @ (esk11_2 @ X2025 @ X2026))|~(X2025 @ X2026)))&(~(X2025 @ X2029)|((esk12_1 @ X2025)=(X2029))|((X2025 @ (esk11_2 @ X2025 @ X2026))|~(X2025 @ X2026))))&(((X2025 @ (esk12_1 @ X2025))|(((X2026)!=(esk11_2 @ X2025 @ X2026))|~(X2025 @ X2026)))&(~(X2025 @ X2029)|((esk12_1 @ X2025)=(X2029))|(((X2026)!=(esk11_2 @ X2025 @ X2026))|~(X2025 @ X2026)))))&((~(in @ X2031 @ (prop2set @ ((X2030))))|(X2030))&((~(in @ X2032 @ emptyset)|(X2033))&((~(in @ 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X2745 @ X2743))))))&((~(in @ X2747 @ (powerset @ X2746))|(~(in @ X2748 @ (powerset @ X2746))|(~(subset @ X2747 @ X2748)|(subset @ (setminus @ X2746 @ X2748) @ (setminus @ X2746 @ X2747)))))&((~(in @ X2750 @ (powerset @ X2749))|(~(in @ X2751 @ (powerset @ X2749))|(~(subset @ (setminus @ X2749 @ X2751) @ (setminus @ X2749 @ X2750))|(subset @ X2750 @ X2751))))&((~(in @ X2753 @ (powerset @ X2752))|(~(in @ X2754 @ X2752)|(~(in @ X2754 @ X2753)|(in @ X2754 @ (setminus @ X2752 @ (setminus @ X2752 @ X2753))))))&((~(in @ X2756 @ (powerset @ X2755))|(~(in @ X2757 @ X2755)|(~(in @ X2757 @ (setminus @ X2755 @ (setminus @ X2755 @ X2756)))|(in @ X2757 @ X2756))))&((~(in @ X2759 @ (powerset @ X2758))|(subset @ X2759 @ (setminus @ X2758 @ (setminus @ X2758 @ X2759))))&((~(in @ X2761 @ (powerset @ X2760))|(subset @ (setminus @ X2760 @ (setminus @ X2760 @ X2761)) @ X2761))&((~(in @ X2763 @ (powerset @ X2762))|((X2763)=(setminus @ X2762 @ (setminus @ X2762 @ X2763))))&((~(in @ X2765 @ (powerset @ 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X2782))|(~(subset @ X2783 @ (setminus @ X2782 @ X2784))|(subset @ X2784 @ (setminus @ X2782 @ X2783)))))&((~(in @ X2786 @ (powerset @ X2785))|(~(in @ X2787 @ (powerset @ X2785))|(~(in @ X2788 @ X2785)|((in @ X2788 @ (binunion @ X2786 @ X2787))|~(in @ X2788 @ X2786)))))&((~(in @ X2790 @ (powerset @ X2789))|(~(in @ X2791 @ (powerset @ X2789))|(~(in @ X2792 @ X2789)|((in @ X2792 @ (binunion @ X2790 @ X2791))|~(in @ X2792 @ X2791)))))&((~(in @ X2794 @ (powerset @ X2793))|(~(in @ X2795 @ (powerset @ X2793))|(~(in @ X2796 @ (powerset @ X2793))|(~(in @ X2797 @ X2793)|(~(in @ X2797 @ (binintersect @ X2794 @ X2795))|(in @ X2797 @ (binunion @ X2794 @ X2796)))))))&((~(in @ X2799 @ (powerset @ X2798))|(~(in @ X2800 @ (powerset @ X2798))|(~(in @ X2801 @ (powerset @ X2798))|(~(in @ X2802 @ X2798)|(~(in @ X2802 @ (binintersect @ X2799 @ X2800))|(in @ X2802 @ (binunion @ X2800 @ X2801)))))))&((~(in @ X2804 @ (powerset @ X2803))|(~(in @ X2805 @ (powerset @ X2803))|(~(in @ X2806 @ (powerset @ X2803))|(~(in @ X2807 @ X2803)|(~(in @ X2807 @ (binintersect @ X2804 @ X2805))|(in @ X2807 @ (binintersect @ (binunion @ X2804 @ X2806) @ (binunion @ X2805 @ X2806))))))))&((~(in @ X2809 @ (powerset @ X2808))|(~(in @ X2810 @ (powerset @ X2808))|(~(in @ X2811 @ (powerset @ X2808))|(in @ (binintersect @ X2809 @ X2810) @ (powerset @ (binintersect @ (binunion @ X2809 @ X2811) @ (binunion @ X2810 @ X2811)))))))&((~(in @ X2813 @ (powerset @ X2812))|(~(in @ X2814 @ (powerset @ X2812))|(~(in @ X2815 @ X2812)|(~(in @ X2815 @ (setminus @ X2812 @ (binunion @ X2813 @ X2814)))|~(in @ X2815 @ X2813)))))&((~(in @ X2817 @ (powerset @ X2816))|(~(in @ X2818 @ (powerset @ X2816))|(~(in @ X2819 @ X2816)|(~(in @ X2819 @ (setminus @ X2816 @ (binunion @ X2817 @ X2818)))|(in @ X2819 @ (setminus @ X2816 @ X2817))))))&(((((in @ X2824 @ X2822)|(X2823)|(in @ X2824 @ X2821)|~(in @ X2824 @ (binunion @ X2821 @ X2822))|~(in @ X2824 @ X2820)|~(in @ X2822 @ (powerset @ X2820))|~(in @ X2821 @ (powerset @ X2820)))&(~(X2823)|(X2823)|(in @ X2824 @ X2821)|~(in @ X2824 @ (binunion @ X2821 @ X2822))|~(in @ X2824 @ X2820)|~(in @ X2822 @ (powerset @ X2820))|~(in @ X2821 @ (powerset @ X2820))))&(((in @ X2824 @ X2822)|(X2823)|~(X2823)|~(in @ X2824 @ (binunion @ X2821 @ X2822))|~(in @ X2824 @ X2820)|~(in @ X2822 @ (powerset @ X2820))|~(in @ X2821 @ (powerset @ X2820)))&(~(X2823)|(X2823)|~(X2823)|~(in @ X2824 @ (binunion @ X2821 @ X2822))|~(in @ X2824 @ X2820)|~(in @ X2822 @ (powerset @ X2820))|~(in @ X2821 @ (powerset @ X2820)))))&((~(in @ X2826 @ (powerset @ X2825))|(~(in @ X2827 @ (powerset @ X2825))|(~(in @ X2828 @ X2825)|((in @ X2828 @ X2826)|((in @ X2828 @ X2827)|~(in @ X2828 @ (binunion @ X2826 @ X2827)))))))&((~(in @ X2830 @ (powerset @ X2829))|(~(in @ X2831 @ (powerset @ X2829))|(~(in @ X2832 @ X2829)|(~(in @ X2832 @ (setminus @ X2829 @ (binunion @ X2830 @ X2831)))|(in @ X2832 @ (setminus @ X2829 @ X2830))))))&((~(in @ X2834 @ (powerset @ X2833))|(~(in @ X2835 @ (powerset @ X2833))|(in @ (setminus @ X2833 @ (binunion @ X2834 @ X2835)) @ (powerset @ (setminus @ X2833 @ X2834)))))&((~(in @ X2837 @ (powerset @ X2836))|(~(in @ X2838 @ (powerset @ X2836))|(~(in @ X2839 @ X2836)|(~(in @ X2839 @ (setminus @ X2836 @ (binunion @ X2837 @ X2838)))|(in @ X2839 @ (setminus @ X2836 @ X2838))))))&((~(in @ X2841 @ (powerset @ X2840))|(~(in @ X2842 @ (powerset @ X2840))|(~(in @ X2843 @ X2840)|(~(in @ X2843 @ (setminus @ X2840 @ (binintersect @ X2841 @ X2842)))|(in @ X2843 @ (binunion @ (setminus @ X2840 @ X2841) @ (setminus @ X2840 @ X2842)))))))&((~(in @ X2845 @ (powerset @ X2844))|(~(in @ X2846 @ (powerset @ X2844))|(~(in @ X2847 @ X2844)|(~(in @ X2847 @ (binunion @ (setminus @ X2844 @ X2845) @ (setminus @ X2844 @ X2846)))|(in @ X2847 @ (setminus @ X2844 @ (binintersect @ X2845 @ X2846)))))))&((~(in @ X2849 @ (powerset @ X2848))|(~(in @ X2850 @ (powerset @ X2848))|((setminus @ X2848 @ (binintersect @ X2849 @ X2850))=(binunion @ (setminus @ X2848 @ X2849) @ (setminus @ X2848 @ X2850)))))&((~(in @ X2852 @ (powerset @ X2851))|(~(in @ X2853 @ (powerset @ X2851))|(~(in @ X2854 @ X2851)|(~(in @ X2854 @ (setminus @ X2851 @ (binunion @ X2852 @ X2853)))|(in @ X2854 @ (binintersect @ (setminus @ X2851 @ X2852) @ (setminus @ X2851 @ X2853)))))))&((~(in @ X2856 @ (powerset @ X2855))|(~(in @ X2857 @ (powerset @ X2855))|(~(in @ X2858 @ X2855)|(~(in @ X2858 @ (setminus @ X2855 @ X2856))|(~(in @ X2858 @ (setminus @ X2855 @ X2857))|(in @ X2858 @ (setminus @ X2855 @ (binunion @ X2856 @ X2857))))))))&((~(in @ X2860 @ (powerset @ X2859))|(~(in @ X2861 @ (powerset @ X2859))|(~(in @ X2862 @ X2859)|(~(in @ X2862 @ (binintersect @ (setminus @ X2859 @ X2860) @ (setminus @ X2859 @ X2861)))|(in @ X2862 @ (setminus @ X2859 @ (binunion @ X2860 @ X2861)))))))&((~(in @ X2864 @ (powerset @ X2863))|(~(in @ X2865 @ (powerset @ X2863))|((setminus @ X2863 @ (binunion @ X2864 @ X2865))=(binintersect @ (setminus @ X2863 @ X2864) @ (setminus @ X2863 @ X2865)))))&((~(in @ X2867 @ (powerset @ X2866))|(~(in @ X2868 @ (powerset @ X2866))|(~(in @ X2869 @ (binintersect @ X2867 @ X2868))|(in @ X2869 @ X2866))))&((~(in @ X2871 @ (powerset @ X2870))|(~(in @ X2872 @ (powerset @ X2870))|(~(in @ X2873 @ (powerset @ X2870))|(~(subset @ X2871 @ X2873)|(subset @ (binintersect @ X2871 @ X2872) @ X2873)))))&((~(in @ X2875 @ (powerset @ X2874))|(~(in @ X2876 @ (powerset @ X2874))|(~(in @ X2877 @ (powerset @ X2874))|(~(subset @ X2876 @ X2877)|(subset @ (binintersect @ X2875 @ X2876) @ X2877)))))&((~(in @ X2879 @ (powerset @ X2878))|(~(in @ X2880 @ (powerset @ X2878))|(~(in @ X2881 @ (powerset @ X2878))|(~(subset @ X2879 @ X2880)|(~(subset @ X2879 @ X2881)|(subset @ X2879 @ (binintersect @ X2880 @ X2881)))))))&((~(in @ X2883 @ (powerset @ X2882))|(~(in @ X2884 @ (powerset @ X2882))|(~(in @ X2885 @ (powerset @ X2882))|(~(in @ X2886 @ (powerset @ X2882))|(~(subset @ X2883 @ X2885)|(~(subset @ X2884 @ X2886)|(subset @ (binintersect @ X2883 @ X2884) @ (binintersect @ X2885 @ X2886))))))))&((~(in @ X2888 @ (powerset @ X2887))|(~(in @ X2889 @ (powerset @ X2887))|(in @ (setminus @ X2887 @ X2888) @ (powerset @ (setminus @ X2887 @ (binintersect @ X2888 @ X2889))))))&((~(in @ X2891 @ (powerset @ X2890))|(~(in @ X2892 @ (powerset @ X2890))|(~(in @ X2893 @ (powerset @ X2890))|(~(in @ X2894 @ (powerset @ X2890))|((setminus @ X2890 @ (binintersect @ (binunion @ X2891 @ X2892) @ (binunion @ X2893 @ X2894)))=(binunion @ (binintersect @ (setminus @ X2890 @ X2891) @ (setminus @ X2890 @ X2892)) @ (binintersect @ (setminus @ X2890 @ X2893) @ (setminus @ X2890 @ X2894))))))))&((~(in @ X2896 @ (powerset @ X2895))|(~(in @ X2897 @ (powerset @ X2895))|(~(in @ X2898 @ (powerset @ X2895))|(in @ (binintersect @ X2896 @ X2897) @ (powerset @ (binintersect @ (binunion @ X2896 @ X2898) @ (binunion @ X2897 @ X2898)))))))&((~(in @ X2900 @ (powerset @ X2899))|(~(in @ X2901 @ (powerset @ X2899))|(~(subset @ X2900 @ (setminus @ X2899 @ X2901))|(subset @ X2901 @ (setminus @ X2899 @ X2900)))))&((~(in @ X2903 @ (powerset @ X2902))|(~(in @ X2904 @ (powerset @ X2902))|(in @ (setminus @ X2902 @ (binunion @ X2903 @ X2904)) @ (powerset @ (setminus @ X2902 @ X2903)))))&((((in @ (esk87_3 @ X2905 @ X2906 @ X2907) @ X2905)|(~(in @ X2910 @ X2906)|(X2907 @ X2910))|~(subset @ X2906 @ (cartprod @ X2905 @ X2905)))&(((in @ (esk88_3 @ X2905 @ X2906 @ X2907) @ X2905)|(~(in @ X2910 @ X2906)|(X2907 @ X2910))|~(subset @ X2906 @ (cartprod @ X2905 @ X2905)))&(((in @ (kpair @ (esk87_3 @ X2905 @ X2906 @ X2907) @ (esk88_3 @ X2905 @ X2906 @ X2907)) @ X2906)|(~(in @ X2910 @ X2906)|(X2907 @ X2910))|~(subset @ X2906 @ (cartprod @ X2905 @ X2905)))&(~(X2907 @ (kpair @ (esk87_3 @ X2905 @ X2906 @ X2907) @ (esk88_3 @ X2905 @ X2906 @ X2907)))|(~(in @ X2910 @ X2906)|(X2907 @ X2910))|~(subset @ X2906 @ (cartprod @ X2905 @ X2905))))))&((~(in @ X2912 @ (breln1Set @ X2911))|(subset @ X2912 @ (cartprod @ X2911 @ X2911)))&((((in @ (esk89_3 @ X2913 @ X2914 @ X2915) @ X2913)|(~(in @ X2918 @ (breln1Set @ X2914))|(~(reflwellordering @ X2914 @ X2918)|(~(in @ X2919 @ X2913)|(singleton @ (dsetconstr @ X2914 @ (^[Z0:$i]:(((X2915 @ X2919 @ Z0)&(![X1555:$i]:((((in @ X1555 @ X2914))=>(((X2915 @ X2919 @ X1555)=>((in @ (kpair @ Z0 @ X1555) @ X2918))))))))))))))))&(~(in @ X2917 @ X2914)|~(X2915 @ (esk89_3 @ X2913 @ X2914 @ X2915) @ X2917)|(~(in @ X2918 @ (breln1Set @ X2914))|(~(reflwellordering @ X2914 @ X2918)|(~(in @ X2919 @ X2913)|(singleton @ (dsetconstr @ X2914 @ (^[Z0:$i]:(((X2915 @ X2919 @ Z0)&(![X1555:$i]:((((in @ X1555 @ X2914))=>(((X2915 @ X2919 @ X1555)=>((in @ (kpair @ Z0 @ X1555) @ X2918)))))))))))))))))&((subset @ (dpsetconstr @ X2920 @ X2920 @ X2921) @ (cartprod @ X2920 @ X2920))&((((in @ (esk90_3 @ X2922 @ X2923 @ X2924) @ X2922)|(~(in @ X2927 @ X2923)|(X2924 @ X2927))|~(subset @ X2923 @ (cartprod @ X2922 @ X2922)))&(((in @ (esk91_3 @ X2922 @ X2923 @ X2924) @ X2922)|(~(in @ X2927 @ X2923)|(X2924 @ X2927))|~(subset @ X2923 @ (cartprod @ X2922 @ X2922)))&(((in @ (kpair @ (esk90_3 @ X2922 @ X2923 @ X2924) @ (esk91_3 @ X2922 @ X2923 @ X2924)) @ X2923)|(~(in @ X2927 @ X2923)|(X2924 @ X2927))|~(subset @ X2923 @ (cartprod @ X2922 @ X2922)))&(~(X2924 @ (kpair @ (esk90_3 @ X2922 @ X2923 @ X2924) @ (esk91_3 @ X2922 @ X2923 @ X2924)))|(~(in @ X2927 @ X2923)|(X2924 @ X2927))|~(subset @ X2923 @ (cartprod @ X2922 @ X2922))))))&((subset @ esk93_0 @ (cartprod @ esk92_0 @ esk92_0))&((subset @ esk94_0 @ (cartprod @ esk92_0 @ esk92_0))&((~(in @ X2931 @ esk92_0)|(~(in @ X2932 @ esk92_0)|(~(in @ (kpair @ X2931 @ X2932) @ esk93_0)|(in @ (kpair @ X2931 @ X2932) @ esk94_0))))&~(subset @ esk93_0 @ esk94_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_379])])])])])])])).
3.65/1.15	thf(c_0_381, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X4 @ X3)|~((subset @ X2 @ X3))|~((in @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_382, negated_conjecture, (subset @ esk93_0 @ (cartprod @ esk92_0 @ esk92_0)), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_383, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ (kfst @ X2) @ X3)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_384, negated_conjecture, ![X2:$i]:(((in @ X2 @ (cartprod @ esk92_0 @ esk92_0))|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_381, c_0_382])).
3.65/1.15	thf(c_0_385, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ (ksnd @ X2) @ X4)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_386, negated_conjecture, ![X2:$i]:(((in @ (kfst @ X2) @ esk92_0)|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_383, c_0_384])).
3.65/1.15	thf(c_0_387, negated_conjecture, ![X3:$i, X2:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2))), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_388, negated_conjecture, ![X2:$i]:(((in @ (ksnd @ X2) @ esk92_0)|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_385, c_0_384])).
3.65/1.15	thf(c_0_389, negated_conjecture, ![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3))), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_390, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ esk94_0)|~((in @ X2 @ esk92_0))|~((in @ X3 @ esk92_0))|~((in @ (kpair @ X2 @ X3) @ esk93_0)))), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_391, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ esk92_0)|~((in @ (kpair @ X2 @ X3) @ esk93_0)))), inference(spm,[status(thm)],[c_0_386, c_0_387])).
3.65/1.15	thf(c_0_392, negated_conjecture, ![X3:$i, X2:$i]:(((in @ X2 @ esk92_0)|~((in @ (kpair @ X3 @ X2) @ esk93_0)))), inference(spm,[status(thm)],[c_0_388, c_0_389])).
3.65/1.15	thf(c_0_393, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((iskpair @ X2)|~((in @ X2 @ (cartprod @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_394, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ esk94_0)|~((in @ (kpair @ X2 @ X3) @ esk93_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_390, c_0_391]), c_0_392])).
3.65/1.15	thf(c_0_395, negated_conjecture, ![X2:$i]:((((kpair @ (kfst @ X2) @ (ksnd @ X2))=(X2))|~((iskpair @ X2)))), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_396, negated_conjecture, ![X2:$i]:(((iskpair @ X2)|~((in @ X2 @ esk93_0)))), inference(spm,[status(thm)],[c_0_393, c_0_384])).
3.65/1.15	thf(c_0_397, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk53_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_398, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk94_0)|~((in @ X2 @ esk93_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394, c_0_395]), c_0_396])).
3.65/1.15	thf(c_0_399, negated_conjecture, ![X2:$i]:(((subset @ X2 @ esk94_0)|~((in @ (esk53_2 @ X2 @ esk94_0) @ esk93_0)))), inference(spm,[status(thm)],[c_0_397, c_0_398])).
3.65/1.15	thf(c_0_400, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk53_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_401, negated_conjecture, ~((subset @ esk93_0 @ esk94_0)), inference(split_conjunct,[status(thm)],[c_0_380])).
3.65/1.15	thf(c_0_402, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_399, c_0_400]), c_0_401]), ['proof']).
3.65/1.15	% SZS output end CNFRefutation
3.65/1.15	% Parsed axioms                        : 629
3.65/1.15	% Removed by relevancy pruning/SinE    : 0
3.65/1.15	% Initial clauses                      : 819
3.65/1.15	% Removed in clause preprocessing      : 367
3.65/1.15	% Initial clauses in saturation        : 452
3.65/1.15	% Processed clauses                    : 1371
3.65/1.15	% ...of these trivial                  : 19
3.65/1.15	% ...subsumed                          : 821
3.65/1.15	% ...remaining for further processing  : 531
3.65/1.15	% Other redundant clauses eliminated   : 32
3.65/1.15	% Clauses deleted for lack of memory   : 0
3.65/1.15	% Backward-subsumed                    : 1
3.65/1.15	% Backward-rewritten                   : 6
3.65/1.15	% Generated clauses                    : 15602
3.65/1.15	% ...of the previous two non-redundant : 12796
3.65/1.15	% ...aggressively subsumed             : 0
3.65/1.15	% Contextual simplify-reflections      : 3
3.65/1.15	% Paramodulations                      : 15565
3.65/1.15	% Factorizations                       : 2
3.65/1.15	% NegExts                              : 0
3.65/1.15	% Equation resolutions                 : 35
3.65/1.15	% Disequality decompositions           : 0
3.65/1.15	% Total rewrite steps                  : 5824
3.65/1.15	% ...of those cached                   : 5599
3.65/1.15	% Propositional unsat checks           : 0
3.65/1.15	%    Propositional check models        : 0
3.65/1.15	%    Propositional check unsatisfiable : 0
3.65/1.15	%    Propositional clauses             : 0
3.65/1.15	%    Propositional clauses after purity: 0
3.65/1.15	%    Propositional unsat core size     : 0
3.65/1.15	%    Propositional preprocessing time  : 0.000
3.65/1.15	%    Propositional encoding time       : 0.000
3.65/1.15	%    Propositional solver time         : 0.000
3.65/1.15	%    Success case prop preproc time    : 0.000
3.65/1.15	%    Success case prop encoding time   : 0.000
3.65/1.15	%    Success case prop solver time     : 0.000
3.65/1.15	% Current number of processed clauses  : 515
3.65/1.15	%    Positive orientable unit clauses  : 167
3.65/1.15	%    Positive unorientable unit clauses: 0
3.65/1.15	%    Negative unit clauses             : 5
3.65/1.15	%    Non-unit-clauses                  : 343
3.65/1.15	% Current number of unprocessed clauses: 11857
3.65/1.15	% ...number of literals in the above   : 36354
3.65/1.15	% Current number of archived formulas  : 0
3.65/1.15	% Current number of archived clauses   : 7
3.65/1.15	% Clause-clause subsumption calls (NU) : 14136
3.65/1.15	% Rec. Clause-clause subsumption calls : 11613
3.65/1.15	% Non-unit clause-clause subsumptions  : 650
3.65/1.15	% Unit Clause-clause subsumption calls : 147
3.65/1.15	% Rewrite failures with RHS unbound    : 0
3.65/1.15	% BW rewrite match attempts            : 313
3.65/1.15	% BW rewrite match successes           : 4
3.65/1.15	% Condensation attempts                : 0
3.65/1.15	% Condensation successes               : 0
3.65/1.15	% Termbank termtop insertions          : 280778
3.65/1.15	% Search garbage collected termcells   : 31463
3.65/1.15	
3.65/1.15	% -------------------------------------------------
3.65/1.15	% User time                : 0.410 s
3.65/1.15	% System time              : 0.027 s
3.65/1.15	% Total time               : 0.437 s
3.65/1.15	% Maximum resident set size: 10992 pages
3.65/1.15	
3.65/1.15	% -------------------------------------------------
3.65/1.15	% User time                : 0.428 s
3.65/1.15	% System time              : 0.037 s
3.65/1.15	% Total time               : 0.465 s
3.65/1.15	% Maximum resident set size: 5888 pages
3.65/1.15	% E exiting
3.65/1.15	EOF