0.00/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.12	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n031.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1920
0.12/0.33	% WCLimit    : 240
0.12/0.33	% DateTime   : Wed Jul 30 04:17:19 EDT 2025
0.12/0.33	% CPUTime    : 
0.19/0.47	Running higher-order theorem proving
0.19/0.52	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p
1.05/0.89	# Version: 3.0.0-ho
1.05/0.89	# Preprocessing class: HSLMSLSSLLLCHFA.
1.05/0.89	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
1.05/0.89	# Starting ehoh_best5 with 240s (1) cores
1.05/0.89	# Starting almost_fo_3_lam with 240s (1) cores
1.05/0.89	# Starting new_bool_5 with 240s (1) cores
1.05/0.89	# Starting pre_casc_3 with 240s (1) cores
1.05/0.89	# Starting ho_unfolding_8 with 240s (1) cores
1.05/0.89	# Starting new_ho_10_cnf2 with 240s (1) cores
1.05/0.89	# Starting new_bool_3 with 240s (1) cores
1.05/0.89	# Starting new_ho_5 with 240s (1) cores
1.05/0.89	# new_bool_5 with pid 25593 completed with status 0
1.05/0.89	# Result found by new_bool_5
1.05/0.89	# Preprocessing class: HSLMSLSSLLLCHFA.
1.05/0.89	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
1.05/0.89	# Starting ehoh_best5 with 240s (1) cores
1.05/0.89	# Starting almost_fo_3_lam with 240s (1) cores
1.05/0.89	# Starting new_bool_5 with 240s (1) cores
1.05/0.89	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
1.05/0.89	# Search class: HGHSM-FSLM32-MHFMMSBN
1.05/0.89	# Scheduled 10 strats onto 1 cores with 240 seconds (240 total)
1.05/0.89	# Starting ho_unfolding_8 with 44s (1) cores
1.05/0.89	# ho_unfolding_8 with pid 25600 completed with status 0
1.05/0.89	# Result found by ho_unfolding_8
1.05/0.89	# Preprocessing class: HSLMSLSSLLLCHFA.
1.05/0.89	# Scheduled 8 strats onto 8 cores with 240 seconds (1920 total)
1.05/0.89	# Starting ehoh_best5 with 240s (1) cores
1.05/0.89	# Starting almost_fo_3_lam with 240s (1) cores
1.05/0.89	# Starting new_bool_5 with 240s (1) cores
1.05/0.89	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
1.05/0.89	# Search class: HGHSM-FSLM32-MHFMMSBN
1.05/0.89	# Scheduled 10 strats onto 1 cores with 240 seconds (240 total)
1.05/0.89	# Starting ho_unfolding_8 with 44s (1) cores
1.05/0.89	# Preprocessing time       : 0.060 s
1.05/0.89	# Presaturation interreduction done
1.05/0.89	
1.05/0.89	# Proof found!
1.05/0.89	# SZS status Theorem
1.05/0.89	# SZS output start CNFRefutation
1.05/0.89	thf(decl_23, type, in: $i > $i > $o).
1.05/0.89	thf(decl_24, type, exu: ($i > $o) > $o).
1.05/0.89	thf(decl_25, type, setextAx: $o).
1.05/0.89	thf(decl_26, type, emptyset: $i).
1.05/0.89	thf(decl_27, type, emptysetAx: $o).
1.05/0.89	thf(decl_28, type, setadjoin: $i > $i > $i).
1.05/0.89	thf(decl_29, type, setadjoinAx: $o).
1.05/0.89	thf(decl_30, type, powerset: $i > $i).
1.05/0.89	thf(decl_31, type, powersetAx: $o).
1.05/0.89	thf(decl_32, type, setunion: $i > $i).
1.05/0.89	thf(decl_33, type, setunionAx: $o).
1.05/0.89	thf(decl_34, type, omega: $i).
1.05/0.89	thf(decl_35, type, omega0Ax: $o).
1.05/0.89	thf(decl_36, type, omegaSAx: $o).
1.05/0.89	thf(decl_37, type, omegaIndAx: $o).
1.05/0.89	thf(decl_38, type, replAx: $o).
1.05/0.89	thf(decl_39, type, foundationAx: $o).
1.05/0.89	thf(decl_40, type, wellorderingAx: $o).
1.05/0.89	thf(decl_41, type, descr: ($i > $o) > $i).
1.05/0.89	thf(decl_42, type, descrp: $o).
1.05/0.89	thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_44, type, dsetconstrI: $o).
1.05/0.89	thf(decl_45, type, dsetconstrEL: $o).
1.05/0.89	thf(decl_46, type, dsetconstrER: $o).
1.05/0.89	thf(decl_47, type, exuE1: $o).
1.05/0.89	thf(decl_48, type, prop2set: $o > $i).
1.05/0.89	thf(decl_49, type, prop2setE: $o).
1.05/0.89	thf(decl_50, type, emptysetE: $o).
1.05/0.89	thf(decl_51, type, emptysetimpfalse: $o).
1.05/0.89	thf(decl_52, type, notinemptyset: $o).
1.05/0.89	thf(decl_53, type, exuE3e: $o).
1.05/0.89	thf(decl_54, type, setext: $o).
1.05/0.89	thf(decl_55, type, emptyI: $o).
1.05/0.89	thf(decl_56, type, noeltsimpempty: $o).
1.05/0.89	thf(decl_57, type, setbeta: $o).
1.05/0.89	thf(decl_58, type, nonempty: $i > $o).
1.05/0.89	thf(decl_59, type, nonemptyE1: $o).
1.05/0.89	thf(decl_60, type, nonemptyI: $o).
1.05/0.89	thf(decl_61, type, nonemptyI1: $o).
1.05/0.89	thf(decl_62, type, setadjoinIL: $o).
1.05/0.89	thf(decl_63, type, emptyinunitempty: $o).
1.05/0.89	thf(decl_64, type, setadjoinIR: $o).
1.05/0.89	thf(decl_65, type, setadjoinE: $o).
1.05/0.89	thf(decl_66, type, setadjoinOr: $o).
1.05/0.89	thf(decl_67, type, setoftrueEq: $o).
1.05/0.89	thf(decl_68, type, powersetI: $o).
1.05/0.89	thf(decl_69, type, emptyinPowerset: $o).
1.05/0.89	thf(decl_70, type, emptyInPowerset: $o).
1.05/0.89	thf(decl_71, type, powersetE: $o).
1.05/0.89	thf(decl_72, type, setunionI: $o).
1.05/0.89	thf(decl_73, type, setunionE: $o).
1.05/0.89	thf(decl_74, type, subPowSU: $o).
1.05/0.89	thf(decl_75, type, exuE2: $o).
1.05/0.89	thf(decl_76, type, nonemptyImpWitness: $o).
1.05/0.89	thf(decl_77, type, uniqinunit: $o).
1.05/0.89	thf(decl_78, type, notinsingleton: $o).
1.05/0.89	thf(decl_79, type, eqinunit: $o).
1.05/0.89	thf(decl_80, type, singletonsswitch: $o).
1.05/0.89	thf(decl_81, type, upairsetE: $o).
1.05/0.89	thf(decl_82, type, upairsetIL: $o).
1.05/0.89	thf(decl_83, type, upairsetIR: $o).
1.05/0.89	thf(decl_84, type, emptyE1: $o).
1.05/0.89	thf(decl_85, type, vacuousDall: $o).
1.05/0.89	thf(decl_86, type, quantDeMorgan1: $o).
1.05/0.89	thf(decl_87, type, quantDeMorgan2: $o).
1.05/0.89	thf(decl_88, type, quantDeMorgan3: $o).
1.05/0.89	thf(decl_89, type, quantDeMorgan4: $o).
1.05/0.89	thf(decl_90, type, prop2setI: $o).
1.05/0.89	thf(decl_92, type, prop2set2propI: $o).
1.05/0.89	thf(decl_93, type, notdexE: $o).
1.05/0.89	thf(decl_94, type, notdallE: $o).
1.05/0.89	thf(decl_95, type, exuI1: $o).
1.05/0.89	thf(decl_96, type, exuI3: $o).
1.05/0.89	thf(decl_97, type, exuI2: $o).
1.05/0.89	thf(decl_98, type, inCongP: $o).
1.05/0.89	thf(decl_99, type, in__Cong: $o).
1.05/0.89	thf(decl_100, type, exuE3u: $o).
1.05/0.89	thf(decl_101, type, exu__Cong: $o).
1.05/0.89	thf(decl_102, type, emptyset__Cong: $o).
1.05/0.89	thf(decl_103, type, setadjoin__Cong: $o).
1.05/0.89	thf(decl_104, type, powerset__Cong: $o).
1.05/0.89	thf(decl_105, type, setunion__Cong: $o).
1.05/0.89	thf(decl_106, type, omega__Cong: $o).
1.05/0.89	thf(decl_107, type, exuEu: $o).
1.05/0.89	thf(decl_108, type, descr__Cong: $o).
1.05/0.89	thf(decl_109, type, dsetconstr__Cong: $o).
1.05/0.89	thf(decl_110, type, subset: $i > $i > $o).
1.05/0.89	thf(decl_113, type, subsetI1: $o).
1.05/0.89	thf(decl_114, type, eqimpsubset2: $o).
1.05/0.89	thf(decl_115, type, eqimpsubset1: $o).
1.05/0.89	thf(decl_116, type, subsetI2: $o).
1.05/0.89	thf(decl_117, type, emptysetsubset: $o).
1.05/0.89	thf(decl_118, type, subsetE: $o).
1.05/0.89	thf(decl_119, type, subsetE2: $o).
1.05/0.89	thf(decl_120, type, notsubsetI: $o).
1.05/0.89	thf(decl_121, type, notequalI1: $o).
1.05/0.89	thf(decl_122, type, notequalI2: $o).
1.05/0.89	thf(decl_123, type, subsetRefl: $o).
1.05/0.89	thf(decl_124, type, subsetTrans: $o).
1.05/0.89	thf(decl_125, type, setadjoinSub: $o).
1.05/0.89	thf(decl_126, type, setadjoinSub2: $o).
1.05/0.89	thf(decl_127, type, subset2powerset: $o).
1.05/0.89	thf(decl_128, type, setextsub: $o).
1.05/0.89	thf(decl_129, type, subsetemptysetimpeq: $o).
1.05/0.89	thf(decl_130, type, powersetI1: $o).
1.05/0.89	thf(decl_131, type, powersetE1: $o).
1.05/0.89	thf(decl_132, type, inPowerset: $o).
1.05/0.89	thf(decl_133, type, powersetsubset: $o).
1.05/0.89	thf(decl_134, type, sepInPowerset: $o).
1.05/0.89	thf(decl_135, type, sepSubset: $o).
1.05/0.89	thf(decl_136, type, binunion: $i > $i > $i).
1.05/0.89	thf(decl_137, type, binunionIL: $o).
1.05/0.89	thf(decl_138, type, upairset2IR: $o).
1.05/0.89	thf(decl_139, type, binunionIR: $o).
1.05/0.89	thf(decl_140, type, binunionEcases: $o).
1.05/0.89	thf(decl_141, type, binunionE: $o).
1.05/0.89	thf(decl_142, type, binunionLsub: $o).
1.05/0.89	thf(decl_143, type, binunionRsub: $o).
1.05/0.89	thf(decl_144, type, binintersect: $i > $i > $i).
1.05/0.89	thf(decl_145, type, binintersectI: $o).
1.05/0.89	thf(decl_146, type, binintersectSubset5: $o).
1.05/0.89	thf(decl_147, type, binintersectEL: $o).
1.05/0.89	thf(decl_148, type, binintersectLsub: $o).
1.05/0.89	thf(decl_149, type, binintersectSubset2: $o).
1.05/0.89	thf(decl_150, type, binintersectSubset3: $o).
1.05/0.89	thf(decl_151, type, binintersectER: $o).
1.05/0.89	thf(decl_152, type, disjointsetsI1: $o).
1.05/0.89	thf(decl_153, type, binintersectRsub: $o).
1.05/0.89	thf(decl_154, type, binintersectSubset4: $o).
1.05/0.89	thf(decl_155, type, binintersectSubset1: $o).
1.05/0.89	thf(decl_156, type, bs114d: $o).
1.05/0.89	thf(decl_158, type, setminus: $i > $i > $i).
1.05/0.89	thf(decl_159, type, setminusI: $o).
1.05/0.89	thf(decl_160, type, setminusEL: $o).
1.05/0.89	thf(decl_161, type, setminusER: $o).
1.05/0.89	thf(decl_162, type, setminusSubset2: $o).
1.05/0.89	thf(decl_163, type, setminusERneg: $o).
1.05/0.89	thf(decl_164, type, setminusELneg: $o).
1.05/0.89	thf(decl_165, type, setminusILneg: $o).
1.05/0.89	thf(decl_166, type, setminusIRneg: $o).
1.05/0.89	thf(decl_167, type, setminusLsub: $o).
1.05/0.89	thf(decl_168, type, setminusSubset1: $o).
1.05/0.89	thf(decl_169, type, symdiff: $i > $i > $i).
1.05/0.89	thf(decl_170, type, symdiffE: $o).
1.05/0.89	thf(decl_171, type, symdiffI1: $o).
1.05/0.89	thf(decl_172, type, symdiffI2: $o).
1.05/0.89	thf(decl_173, type, symdiffIneg1: $o).
1.05/0.89	thf(decl_174, type, symdiffIneg2: $o).
1.05/0.89	thf(decl_175, type, iskpair: $i > $o).
1.05/0.89	thf(decl_176, type, secondinupair: $o).
1.05/0.89	thf(decl_177, type, setukpairIL: $o).
1.05/0.89	thf(decl_178, type, setukpairIR: $o).
1.05/0.89	thf(decl_179, type, kpairiskpair: $o).
1.05/0.89	thf(decl_180, type, kpair: $i > $i > $i).
1.05/0.89	thf(decl_181, type, kpairp: $o).
1.05/0.89	thf(decl_182, type, cartprod: $i > $i > $i).
1.05/0.89	thf(decl_183, type, singletonsubset: $o).
1.05/0.89	thf(decl_184, type, singletoninpowerset: $o).
1.05/0.89	thf(decl_185, type, singletoninpowunion: $o).
1.05/0.89	thf(decl_186, type, upairset2E: $o).
1.05/0.89	thf(decl_187, type, upairsubunion: $o).
1.05/0.89	thf(decl_188, type, upairinpowunion: $o).
1.05/0.89	thf(decl_189, type, ubforcartprodlem1: $o).
1.05/0.89	thf(decl_190, type, ubforcartprodlem2: $o).
1.05/0.89	thf(decl_191, type, ubforcartprodlem3: $o).
1.05/0.89	thf(decl_192, type, cartprodpairin: $o).
1.05/0.89	thf(decl_193, type, cartprodmempair1: $o).
1.05/0.89	thf(decl_194, type, cartprodmempair: $o).
1.05/0.89	thf(decl_195, type, setunionE2: $o).
1.05/0.89	thf(decl_196, type, setunionsingleton1: $o).
1.05/0.89	thf(decl_197, type, setunionsingleton2: $o).
1.05/0.89	thf(decl_198, type, setunionsingleton: $o).
1.05/0.89	thf(decl_199, type, singleton: $i > $o).
1.05/0.89	thf(decl_200, type, singletonprop: $o).
1.05/0.89	thf(decl_201, type, ex1: $i > ($i > $o) > $o).
1.05/0.89	thf(decl_202, type, ex1E1: $o).
1.05/0.89	thf(decl_203, type, ex1I: $o).
1.05/0.89	thf(decl_204, type, ex1I2: $o).
1.05/0.89	thf(decl_205, type, singletonsuniq: $o).
1.05/0.89	thf(decl_210, type, setukpairinjL1: $o).
1.05/0.89	thf(decl_211, type, kfstsingleton: $o).
1.05/0.89	thf(decl_212, type, theprop: $o).
1.05/0.89	thf(decl_213, type, kfst: $i > $i).
1.05/0.89	thf(decl_214, type, kfstpairEq: $o).
1.05/0.89	thf(decl_215, type, cartprodfstin: $o).
1.05/0.89	thf(decl_216, type, setukpairinjL2: $o).
1.05/0.89	thf(decl_217, type, setukpairinjL: $o).
1.05/0.89	thf(decl_218, type, setukpairinjR11: $o).
1.05/0.89	thf(decl_219, type, setukpairinjR12: $o).
1.05/0.89	thf(decl_220, type, setukpairinjR1: $o).
1.05/0.89	thf(decl_221, type, upairequniteq: $o).
1.05/0.89	thf(decl_222, type, setukpairinjR2: $o).
1.05/0.89	thf(decl_223, type, setukpairinjR: $o).
1.05/0.89	thf(decl_224, type, ksndsingleton: $o).
1.05/0.89	thf(decl_225, type, ksnd: $i > $i).
1.05/0.89	thf(decl_226, type, ksndpairEq: $o).
1.05/0.89	thf(decl_227, type, kpairsurjEq: $o).
1.05/0.89	thf(decl_228, type, cartprodsndin: $o).
1.05/0.89	thf(decl_229, type, cartprodpairmemEL: $o).
1.05/0.89	thf(decl_230, type, cartprodpairmemER: $o).
1.05/0.89	thf(decl_231, type, cartprodmempaircEq: $o).
1.05/0.89	thf(decl_232, type, cartprodfstpairEq: $o).
1.05/0.89	thf(decl_233, type, cartprodsndpairEq: $o).
1.05/0.89	thf(decl_234, type, cartprodpairsurjEq: $o).
1.05/0.89	thf(decl_235, type, breln: $i > $i > $i > $o).
1.05/0.89	thf(decl_236, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
1.05/0.89	thf(decl_237, type, dpsetconstrI: $o).
1.05/0.89	thf(decl_238, type, dpsetconstrSub: $o).
1.05/0.89	thf(decl_239, type, setOfPairsIsBReln: $o).
1.05/0.89	thf(decl_240, type, dpsetconstrERa: $o).
1.05/0.89	thf(decl_241, type, dpsetconstrEL1: $o).
1.05/0.89	thf(decl_242, type, dpsetconstrEL2: $o).
1.05/0.89	thf(decl_243, type, dpsetconstrER: $o).
1.05/0.89	thf(decl_244, type, func: $i > $i > $i > $o).
1.05/0.89	thf(decl_245, type, funcSet: $i > $i > $i).
1.05/0.89	thf(decl_246, type, funcImageSingleton: $o).
1.05/0.89	thf(decl_247, type, apProp: $o).
1.05/0.89	thf(decl_248, type, ap: $i > $i > $i > $i > $i).
1.05/0.89	thf(decl_249, type, app: $o).
1.05/0.89	thf(decl_250, type, infuncsetfunc: $o).
1.05/0.89	thf(decl_251, type, ap2p: $o).
1.05/0.89	thf(decl_252, type, funcinfuncset: $o).
1.05/0.89	thf(decl_253, type, lamProp: $o).
1.05/0.89	thf(decl_254, type, lam: $i > $i > ($i > $i) > $i).
1.05/0.89	thf(decl_255, type, lamp: $o).
1.05/0.89	thf(decl_256, type, lam2p: $o).
1.05/0.89	thf(decl_257, type, brelnall1: $o).
1.05/0.89	thf(decl_258, type, brelnall2: $o).
1.05/0.89	thf(decl_259, type, ex1E2: $o).
1.05/0.89	thf(decl_260, type, funcGraphProp1: $o).
1.05/0.89	thf(decl_261, type, funcGraphProp3: $o).
1.05/0.89	thf(decl_262, type, funcGraphProp2: $o).
1.05/0.89	thf(decl_263, type, funcextLem: $o).
1.05/0.89	thf(decl_264, type, funcGraphProp4: $o).
1.05/0.89	thf(decl_265, type, subbreln: $o).
1.05/0.89	thf(decl_266, type, eqbreln: $o).
1.05/0.89	thf(decl_267, type, funcext: $o).
1.05/0.89	thf(decl_268, type, funcext2: $o).
1.05/0.89	thf(decl_269, type, ap2apEq1: $o).
1.05/0.89	thf(decl_270, type, ap2apEq2: $o).
1.05/0.89	thf(decl_271, type, beta1: $o).
1.05/0.89	thf(decl_272, type, eta1: $o).
1.05/0.89	thf(decl_273, type, lam2lamEq: $o).
1.05/0.89	thf(decl_274, type, beta2: $o).
1.05/0.89	thf(decl_275, type, eta2: $o).
1.05/0.89	thf(decl_276, type, iffalseProp1: $o).
1.05/0.89	thf(decl_277, type, iffalseProp2: $o).
1.05/0.89	thf(decl_278, type, iftrueProp1: $o).
1.05/0.89	thf(decl_279, type, iftrueProp2: $o).
1.05/0.89	thf(decl_280, type, ifSingleton: $o).
1.05/0.89	thf(decl_281, type, if: $i > $o > $i > $i > $i).
1.05/0.89	thf(decl_282, type, ifp: $o).
1.05/0.89	thf(decl_283, type, theeq: $o).
1.05/0.89	thf(decl_284, type, iftrue: $o).
1.05/0.89	thf(decl_285, type, iffalse: $o).
1.05/0.89	thf(decl_286, type, iftrueorfalse: $o).
1.05/0.89	thf(decl_287, type, binintersectT_lem: $o).
1.05/0.89	thf(decl_288, type, binunionT_lem: $o).
1.05/0.89	thf(decl_289, type, powersetT_lem: $o).
1.05/0.89	thf(decl_290, type, setminusT_lem: $o).
1.05/0.89	thf(decl_291, type, complementT_lem: $o).
1.05/0.89	thf(decl_292, type, setextT: $o).
1.05/0.89	thf(decl_293, type, subsetTI: $o).
1.05/0.89	thf(decl_294, type, powersetTI1: $o).
1.05/0.89	thf(decl_295, type, powersetTE1: $o).
1.05/0.89	thf(decl_296, type, complementTI1: $o).
1.05/0.89	thf(decl_297, type, complementTE1: $o).
1.05/0.89	thf(decl_298, type, binintersectTELcontra: $o).
1.05/0.89	thf(decl_299, type, binintersectTERcontra: $o).
1.05/0.89	thf(decl_300, type, contrasubsetT: $o).
1.05/0.89	thf(decl_301, type, contrasubsetT1: $o).
1.05/0.89	thf(decl_302, type, contrasubsetT2: $o).
1.05/0.89	thf(decl_303, type, contrasubsetT3: $o).
1.05/0.89	thf(decl_304, type, doubleComplementI1: $o).
1.05/0.89	thf(decl_305, type, epred1_0: $o).
1.05/0.89	thf(decl_306, type, esk1_2: $i > $i > $i).
1.05/0.89	thf(decl_307, type, esk2_2: $i > $i > $i).
1.05/0.89	thf(decl_308, type, esk3_2: $i > $i > $i).
1.05/0.89	thf(decl_309, type, esk4_1: $i > $i).
1.05/0.89	thf(decl_310, type, esk5_2: ($i > $i > $o) > $i > $i).
1.05/0.89	thf(decl_311, type, esk6_2: ($i > $i > $o) > $i > $i).
1.05/0.89	thf(decl_312, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
1.05/0.89	thf(decl_313, type, esk8_1: $i > $i).
1.05/0.89	thf(decl_314, type, esk9_1: ($i > $o) > $i).
1.05/0.89	thf(decl_315, type, esk10_1: ($i > $o) > $i).
1.05/0.89	thf(decl_316, type, esk11_2: $i > $i > $i).
1.05/0.89	thf(decl_317, type, esk12_2: $i > $i > $i).
1.05/0.89	thf(decl_318, type, esk13_1: $i > $i).
1.05/0.89	thf(decl_319, type, esk14_1: $i > $i).
1.05/0.89	thf(decl_320, type, esk15_1: $i > $i).
1.05/0.89	thf(decl_321, type, esk16_2: $i > $i > $i).
1.05/0.89	thf(decl_322, type, esk17_3: $i > $i > $o > $i).
1.05/0.89	thf(decl_323, type, esk18_1: ($i > $o) > $i).
1.05/0.89	thf(decl_324, type, esk19_1: $i > $i).
1.05/0.89	thf(decl_325, type, esk20_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_326, type, esk21_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_327, type, esk22_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_328, type, esk23_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_329, type, esk24_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_330, type, esk25_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_331, type, esk26_2: ($i > $o) > $i > $i).
1.05/0.89	thf(decl_332, type, esk27_1: ($i > $o) > $i).
1.05/0.89	thf(decl_333, type, esk28_1: ($i > $o) > $i).
1.05/0.89	thf(decl_334, type, esk29_2: ($i > $o) > $i > $i).
1.05/0.89	thf(decl_335, type, esk30_2: ($i > $o) > ($i > $o) > $i).
1.05/0.89	thf(decl_336, type, esk31_2: ($i > $o) > ($i > $o) > $i).
1.05/0.89	thf(decl_337, type, esk32_2: ($i > $o) > ($i > $o) > $i).
1.05/0.89	thf(decl_338, type, esk33_2: ($i > $o) > ($i > $o) > $i).
1.05/0.89	thf(decl_339, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
1.05/0.89	thf(decl_340, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
1.05/0.89	thf(decl_341, type, esk36_2: $i > $i > $i).
1.05/0.89	thf(decl_342, type, esk37_2: $i > $i > $i).
1.05/0.89	thf(decl_343, type, esk38_2: $i > $i > $i).
1.05/0.89	thf(decl_344, type, esk39_3: $i > $i > $i > $i).
1.05/0.89	thf(decl_345, type, esk40_3: $i > $i > $i > $i).
1.05/0.89	thf(decl_346, type, esk41_2: $i > $i > $i).
1.05/0.89	thf(decl_347, type, esk42_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_348, type, esk43_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_349, type, esk44_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_350, type, esk45_3: $i > ($i > $o) > $i > $i).
1.05/0.89	thf(decl_351, type, esk46_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_352, type, esk47_2: $i > ($i > $o) > $i).
1.05/0.89	thf(decl_353, type, esk48_3: $i > $i > ($i > $i) > $i).
1.05/0.89	thf(decl_354, type, esk49_3: $i > $i > ($i > $i) > $i).
1.05/0.89	thf(decl_355, type, esk50_3: $i > $i > ($i > $i) > $i).
1.05/0.89	thf(decl_356, type, esk51_4: $i > $i > $i > ($i > $o) > $i).
1.05/0.89	thf(decl_357, type, esk52_4: $i > $i > $i > ($i > $o) > $i).
1.05/0.89	thf(decl_358, type, esk53_4: $i > $i > $i > ($i > $o) > $i).
1.05/0.89	thf(decl_359, type, esk54_4: $i > $i > $i > ($i > $o) > $i).
1.05/0.89	thf(decl_360, type, esk55_4: $i > $i > $i > $i > $i).
1.05/0.89	thf(decl_361, type, esk56_4: $i > $i > $i > $i > $i).
1.05/0.89	thf(decl_362, type, esk57_4: $i > $i > $i > $i > $i).
1.05/0.89	thf(decl_363, type, esk58_4: $i > $i > $i > $i > $i).
1.05/0.89	thf(decl_364, type, esk59_4: $i > $i > $i > $i > $i).
1.05/0.89	thf(decl_365, type, esk60_4: $i > $i > $i > $i > $i).
1.05/0.89	thf(decl_366, type, esk61_4: $i > $i > $i > $i > $i).
1.05/0.89	thf(decl_367, type, esk62_4: $i > $i > $i > $i > $i).
1.05/0.89	thf(decl_368, type, esk63_4: $i > $i > $i > $i > $i).
1.05/0.89	thf(decl_369, type, esk64_3: $i > $i > ($i > $i) > $i).
1.05/0.89	thf(decl_370, type, esk65_3: $i > $i > ($i > $i) > $i).
1.05/0.89	thf(decl_371, type, esk66_3: $i > $i > ($i > $i) > $i).
1.05/0.89	thf(decl_372, type, esk67_3: $i > $i > $i > $i).
1.05/0.89	thf(decl_373, type, esk68_3: $i > $i > $i > $i).
1.05/0.89	thf(decl_374, type, esk69_3: $i > $i > $i > $i).
1.05/0.89	thf(decl_375, type, esk70_3: $i > $i > $i > $i).
1.05/0.89	thf(decl_376, type, esk71_0: $i).
1.05/0.89	thf(decl_377, type, esk72_0: $i).
1.05/0.89	thf(decl_378, type, esk73_0: $i).
1.05/0.89	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', descr__Cong)).
1.05/0.89	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', exu__Cong)).
1.05/0.89	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', nonemptyI)).
1.05/0.89	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setbeta)).
1.05/0.89	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', exuE1)).
1.05/0.89	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', dsetconstrEL)).
1.05/0.89	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', dsetconstrI)).
1.05/0.89	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', descrp)).
1.05/0.89	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', singletonprop)).
1.05/0.89	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ex1E1)).
1.05/0.89	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ex1I2)).
1.05/0.89	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ksndsingleton)).
1.05/0.89	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X23 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', dpsetconstrSub)).
1.05/0.89	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X25 @ X14 @ X18)))))=>(X25 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', dpsetconstrERa)).
1.05/0.89	thf(dpsetconstrEL2, axiom, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', dpsetconstrEL2)).
1.05/0.89	thf(apProp, axiom, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29))))) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', apProp)).
1.05/0.89	thf(lamProp, axiom, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:(((X30 @ X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', lamProp)).
1.05/0.89	thf(lam2p, axiom, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[X2:$i]:(X32 @ X2))) @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', lam2p)).
1.05/0.89	thf(ex1E2, axiom, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ex1E2)).
1.05/0.89	thf(eta2, axiom, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', eta2)).
1.05/0.89	thf(iffalseProp1, axiom, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X39)&((X14)=(X2)))|(~((X39))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', iffalseProp1)).
1.05/0.89	thf(iffalseProp2, axiom, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[X14:$i]:((((X40)&((X14)=(X2)))|(~((X40))&((X14)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', iffalseProp2)).
1.05/0.89	thf(iftrueProp1, axiom, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X14:$i]:((((X41)&((X14)=(X2)))|(~((X41))&((X14)=(X3)))))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', iftrueProp1)).
1.05/0.89	thf(ifSingleton, axiom, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[X14:$i]:((((X43)&((X14)=(X2)))|(~((X43))&((X14)=(X3))))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ifSingleton)).
1.05/0.89	thf(iftrueProp2, axiom, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[X14:$i]:((((X42)&((X14)=(X2)))|(~((X42))&((X14)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', iftrueProp2)).
1.05/0.89	thf(beta2, axiom, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X38 @ X3))) @ X2)=(X38 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', beta2)).
1.05/0.89	thf(lam2lamEq, axiom, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2)))=(lam @ X4 @ X5 @ (^[X2:$i]:(X37 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', lam2lamEq)).
1.05/0.89	thf(eta1, axiom, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[X2:$i]:(ap @ X4 @ X5 @ X29 @ X2)))=(X29))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', eta1)).
1.05/0.89	thf(beta1, axiom, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X3:$i]:(X36 @ X3))) @ X2)=(X36 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', beta1)).
1.05/0.89	thf(lamp, axiom, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[X2:$i]:(X31 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', lamp)).
1.05/0.89	thf(funcImageSingleton, axiom, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[X3:$i]:((in @ (kpair @ X2 @ X3) @ X29)))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', funcImageSingleton)).
1.05/0.89	thf(dpsetconstrER, axiom, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X28 @ X14 @ X18)))))=>(X28 @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', dpsetconstrER)).
1.05/0.89	thf(dpsetconstrEL1, axiom, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', dpsetconstrEL1)).
1.05/0.89	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setOfPairsIsBReln)).
1.05/0.89	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X22 @ X14 @ X18))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', dpsetconstrI)).
1.05/0.89	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', kfstsingleton)).
1.05/0.89	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ex1I)).
1.05/0.89	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', sepSubset)).
1.05/0.89	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', sepInPowerset)).
1.05/0.89	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', dsetconstr__Cong)).
1.05/0.89	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', exuEu)).
1.05/0.89	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', exuE3u)).
1.05/0.89	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', exuI2)).
1.05/0.89	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', exuI3)).
1.05/0.89	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', exuI1)).
1.05/0.89	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', emptyE1)).
1.05/0.89	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', exuE2)).
1.05/0.89	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setoftrueEq)).
1.05/0.89	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', exuE3e)).
1.05/0.89	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', dsetconstrER)).
1.05/0.89	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', replAx)).
1.05/0.89	thf(doubleComplementE1, conjecture, (((((powersetAx)=>(((((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>(((((dsetconstrER)=>((((((notinemptyset)=>((exuE3e)=>((((noeltsimpempty)=>(((nonemptyE1)=>(((((emptyinunitempty)=>((setadjoinIR)=>(((setadjoinOr)=>((setoftrueEq)=>(((((powersetE)=>((setunionI)=>((((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>(((singletonsswitch)=>(((((emptyE1)=>(((quantDeMorgan1)=>((((quantDeMorgan4)=>((prop2setI)=>(((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>(((in__Cong)=>((exuE3u)=>(((emptyset__Cong)=>((((setunion__Cong)=>((omega__Cong)=>((exuEu)=>(((dsetconstr__Cong)=>((((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((((notsubsetI)=>(((((subsetTrans)=>((setadjoinSub)=>(((subset2powerset)=>((((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((((binunionIL)=>(((((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>(((((((binintersectER)=>((disjointsetsI1)=>((((binintersectSubset1)=>((bs114d)=>((setminusI)=>(((setminusER)=>((setminusSubset2)=>((((setminusILneg)=>(((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((((((setukpairIL)=>(((kpairiskpair)=>((((singletoninpowerset)=>((((upairsubunion)=>((upairinpowunion)=>(((((((cartprodmempair)=>((((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>((ex1E1)=>(((ex1I2)=>(((((theprop)=>((((setukpairinjL2)=>(((setukpairinjR11)=>((setukpairinjR12)=>((setukpairinjR1)=>((upairequniteq)=>(((setukpairinjR)=>((ksndsingleton)=>((((cartprodsndin)=>((((cartprodmempaircEq)=>((cartprodfstpairEq)=>((cartprodsndpairEq)=>((((dpsetconstrSub)=>(((dpsetconstrERa)=>(((dpsetconstrEL2)=>((((apProp)=>((((ap2p)=>(((lamProp)=>(((lam2p)=>((((ex1E2)=>((funcGraphProp1)=>(((funcGraphProp2)=>((funcextLem)=>(((subbreln)=>((((((ap2apEq2)=>((((((eta2)=>((iffalseProp1)=>((iffalseProp2)=>((iftrueProp1)=>(((ifSingleton)=>((ifp)=>(((((((binunionT_lem)=>(((setminusT_lem)=>((complementT_lem)=>((setextT)=>((subsetTI)=>((powersetTI1)=>((powersetTE1)=>((complementTI1)=>(((binintersectTELcontra)=>((((contrasubsetT1)=>(((contrasubsetT3)=>((doubleComplementI1)=>![X4:$i, X21:$i]:((![X2:$i]:((((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))<=(in @ X2 @ X4)))<=(in @ X21 @ (powerset @ X4))))))<=(contrasubsetT2)))<=(contrasubsetT))<=(binintersectTERcontra)))<=(complementTE1)))))))))<=(powersetT_lem)))<=(binintersectT_lem))<=(iftrueorfalse))<=(iffalse))<=(iftrue))<=(theeq))))<=(iftrueProp2))))))<=(beta2))<=(lam2lamEq))<=(eta1))<=(beta1)))<=(ap2apEq1))<=(funcext2))<=(funcext))<=(eqbreln)))<=(funcGraphProp4))))<=(funcGraphProp3))))<=(brelnall2))<=(brelnall1)))<=(lamp)))<=(funcinfuncset)))<=(infuncsetfunc))<=(app)))<=(funcImageSingleton))<=(dpsetconstrER)))<=(dpsetconstrEL1)))<=(setOfPairsIsBReln)))<=(dpsetconstrI))<=(cartprodpairsurjEq)))))<=(cartprodpairmemER))<=(cartprodpairmemEL)))<=(kpairsurjEq))<=(ksndpairEq))))<=(setukpairinjR2))))))<=(setukpairinjL)))<=(cartprodfstin))<=(kfstpairEq)))<=(kfstsingleton))<=(setukpairinjL1))<=(singletonsuniq)))<=(ex1I))))))<=(setunionsingleton1))<=(setunionE2)))<=(cartprodmempair1))<=(cartprodpairin))<=(ubforcartprodlem3))<=(ubforcartprodlem2))<=(ubforcartprodlem1))))<=(upairset2E))<=(singletoninpowunion)))<=(singletonsubset))<=(kpairp)))<=(setukpairIR)))<=(secondinupair))<=(symdiffIneg2))<=(symdiffIneg1))<=(symdiffI2))))))<=(setminusIRneg)))<=(setminusELneg))<=(setminusERneg))))<=(setminusEL)))))<=(binintersectSubset4))<=(binintersectRsub))))<=(binintersectSubset3))<=(binintersectSubset2))<=(binintersectLsub))<=(binintersectEL))<=(binintersectSubset5))))))<=(binunionEcases))<=(binunionIR))<=(upairset2IR)))<=(sepSubset))<=(sepInPowerset))))))<=(subsetemptysetimpeq))<=(setextsub)))<=(setadjoinSub2))))<=(subsetRefl))<=(notequalI2))<=(notequalI1)))<=(subsetE2))<=(subsetE)))))<=(eqimpsubset2))<=(subsetI1)))<=(descr__Cong)))))<=(powerset__Cong))<=(setadjoin__Cong)))<=(exu__Cong))))<=(inCongP)))))))<=(prop2set2propI))))<=(quantDeMorgan3))<=(quantDeMorgan2)))<=(vacuousDall)))<=(upairsetIR))<=(upairsetIL))<=(upairsetE)))<=(eqinunit))))))<=(subPowSU))<=(setunionE))))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI))))<=(setadjoinE))))<=(setadjoinIL))<=(nonemptyI1))<=(nonemptyI)))<=(setbeta)))<=(emptyI))<=(setext))))<=(emptysetimpfalse))<=(emptysetE))<=(prop2setE))<=(exuE1)))<=(dsetconstrEL))<=(dsetconstrI))<=(descrp))))))<=(omegaSAx))<=(omega0Ax))<=(setunionAx)))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', doubleComplementE1)).
1.05/0.89	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', symdiffE)).
1.05/0.89	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setextAx)).
1.05/0.89	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setadjoinSub2)).
1.05/0.89	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectI)).
1.05/0.89	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subsetRefl)).
1.05/0.89	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', notequalI2)).
1.05/0.89	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', notequalI1)).
1.05/0.89	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusI)).
1.05/0.89	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subsetE2)).
1.05/0.89	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subsetE)).
1.05/0.89	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusER)).
1.05/0.89	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', eqimpsubset2)).
1.05/0.89	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subsetI1)).
1.05/0.89	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusSubset2)).
1.05/0.89	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', powerset__Cong)).
1.05/0.89	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setadjoin__Cong)).
1.05/0.89	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusILneg)).
1.05/0.89	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', inCongP)).
1.05/0.89	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', quantDeMorgan3)).
1.05/0.89	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusLsub)).
1.05/0.89	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', quantDeMorgan2)).
1.05/0.89	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectER)).
1.05/0.89	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', vacuousDall)).
1.05/0.89	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', upairsetIR)).
1.05/0.89	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusSubset1)).
1.05/0.89	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', upairsetIL)).
1.05/0.89	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', upairsetE)).
1.05/0.89	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', eqinunit)).
1.05/0.89	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subPowSU)).
1.05/0.89	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setunionE)).
1.05/0.89	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', emptyInPowerset)).
1.05/0.89	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', symdiffI1)).
1.05/0.89	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', emptyinPowerset)).
1.05/0.89	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', powersetI)).
1.05/0.89	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setadjoinE)).
1.05/0.89	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', disjointsetsI1)).
1.05/0.89	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setadjoinIL)).
1.05/0.89	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setukpairIL)).
1.05/0.89	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', nonemptyI1)).
1.05/0.89	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', kpairiskpair)).
1.05/0.89	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', emptyI)).
1.05/0.89	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setext)).
1.05/0.89	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', singletoninpowerset)).
1.05/0.89	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', emptysetimpfalse)).
1.05/0.89	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', emptysetE)).
1.05/0.89	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', upairsubunion)).
1.05/0.89	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', prop2setE)).
1.05/0.89	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', upairinpowunion)).
1.05/0.89	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodmempair)).
1.05/0.89	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', omegaSAx)).
1.05/0.89	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', omega0Ax)).
1.05/0.89	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setunionAx)).
1.05/0.89	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setunionsingleton2)).
1.05/0.89	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setadjoinAx)).
1.05/0.89	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', emptysetAx)).
1.05/0.89	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setunionsingleton)).
1.05/0.89	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', theprop)).
1.05/0.89	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setukpairinjL2)).
1.05/0.89	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setukpairinjR11)).
1.05/0.89	thf(setextT, axiom, ((setextT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X48)=>(in @ X2 @ X21))))=>((X21)=(X48))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setextT)).
1.05/0.89	thf(subsetTI, axiom, ((subsetTI)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subsetTI)).
1.05/0.89	thf(powersetTI1, axiom, ((powersetTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ X48))))=>(in @ X21 @ (powerset @ X48)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', powersetTI1)).
1.05/0.89	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setukpairinjR12)).
1.05/0.89	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setukpairinjR1)).
1.05/0.89	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', upairequniteq)).
1.05/0.89	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setukpairinjR)).
1.05/0.89	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodsndin)).
1.05/0.89	thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodmempaircEq)).
1.05/0.89	thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodfstpairEq)).
1.05/0.89	thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodsndpairEq)).
1.05/0.89	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectSubset1)).
1.05/0.89	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', bs114d)).
1.05/0.89	thf(ap2p, axiom, ((ap2p)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ap2p)).
1.05/0.89	thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', funcGraphProp1)).
1.05/0.89	thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', funcGraphProp2)).
1.05/0.89	thf(funcextLem, axiom, ((funcextLem)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X34)=>(in @ (kpair @ X2 @ X3) @ X29)))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', funcextLem)).
1.05/0.89	thf(subbreln, axiom, ((subbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(subset @ X33 @ X35))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subbreln)).
1.05/0.89	thf(ap2apEq2, axiom, ((ap2apEq2)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ap2apEq2)).
1.05/0.89	thf(ifp, axiom, ((ifp)<=>![X4:$i, X44:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X44)) @ X2 @ X3) @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ifp)).
1.05/0.89	thf(binunionT_lem, axiom, ((binunionT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binunion @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binunionT_lem)).
1.05/0.89	thf(setminusT_lem, axiom, ((setminusT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (setminus @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusT_lem)).
1.05/0.89	thf(complementT_lem, axiom, ((complementT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (setminus @ X4 @ X21) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', complementT_lem)).
1.05/0.89	thf(powersetTE1, axiom, ((powersetTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X21 @ (powerset @ X48))=>((in @ X2 @ X21)=>(in @ X2 @ X48)))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', powersetTE1)).
1.05/0.89	thf(complementTI1, axiom, ((complementTI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>~((in @ X2 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', complementTI1)).
1.05/0.89	thf(binintersectTELcontra, axiom, ((binintersectTELcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X21))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectTELcontra)).
1.05/0.89	thf(contrasubsetT1, axiom, ((contrasubsetT1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ X48)=>(~((in @ X2 @ X48))=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', contrasubsetT1)).
1.05/0.89	thf(contrasubsetT3, axiom, ((contrasubsetT3)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21))=>(subset @ X21 @ X48))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', contrasubsetT3)).
1.05/0.89	thf(doubleComplementI1, axiom, ((doubleComplementI1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X21)=>(in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', doubleComplementI1)).
1.05/0.89	thf(contrasubsetT2, axiom, ((contrasubsetT2)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>((subset @ X21 @ X48)=>(subset @ (setminus @ X4 @ X48) @ (setminus @ X4 @ X21)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', contrasubsetT2)).
1.05/0.89	thf(contrasubsetT, axiom, ((contrasubsetT)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((subset @ X21 @ (setminus @ X4 @ X48))=>((in @ X2 @ X48)=>~((in @ X2 @ X21))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', contrasubsetT)).
1.05/0.89	thf(binintersectTERcontra, axiom, ((binintersectTERcontra)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X48))=>~((in @ X2 @ (binintersect @ X21 @ X48))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectTERcontra)).
1.05/0.89	thf(complementTE1, axiom, ((complementTE1)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', complementTE1)).
1.05/0.89	thf(powersetT_lem, axiom, ((powersetT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>(in @ (powerset @ X21) @ (powerset @ (powerset @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', powersetT_lem)).
1.05/0.89	thf(binintersectT_lem, axiom, ((binintersectT_lem)<=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X48:$i]:(((in @ X48 @ (powerset @ X4))=>(in @ (binintersect @ X21 @ X48) @ (powerset @ X4))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectT_lem)).
1.05/0.89	thf(iftrueorfalse, axiom, ((iftrueorfalse)<=>![X4:$i, X47:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(in @ (if @ X4 @ ((X47)) @ X2 @ X3) @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', iftrueorfalse)).
1.05/0.89	thf(iffalse, axiom, ((iffalse)<=>![X4:$i, X46:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X46))=>((if @ X4 @ ((X46)) @ X2 @ X3)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', iffalse)).
1.05/0.89	thf(iftrue, axiom, ((iftrue)<=>![X4:$i, X45:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X45)=>((if @ X4 @ ((X45)) @ X2 @ X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', iftrue)).
1.05/0.89	thf(theeq, axiom, ((theeq)<=>![X21:$i]:(((singleton @ X21)=>![X2:$i]:(((in @ X2 @ X21)=>((setunion @ X21)=(X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', theeq)).
1.05/0.89	thf(ap2apEq1, axiom, ((ap2apEq1)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X29 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ap2apEq1)).
1.05/0.89	thf(funcext2, axiom, ((funcext2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X34:$i]:(((in @ X34 @ (funcSet @ X4 @ X5))=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', funcext2)).
1.05/0.89	thf(funcext, axiom, ((funcext)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X34:$i]:(((func @ X4 @ X5 @ X34)=>(![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ X29 @ X2)=(ap @ X4 @ X5 @ X34 @ X2))))=>((X29)=(X34)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', funcext)).
1.05/0.89	thf(eqbreln, axiom, ((eqbreln)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X35:$i]:(((breln @ X4 @ X5 @ X35)=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(in @ (kpair @ X2 @ X3) @ X35))))))=>(![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X35)=>(in @ (kpair @ X2 @ X3) @ X33))))))=>((X33)=(X35))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', eqbreln)).
1.05/0.89	thf(funcGraphProp4, axiom, ((funcGraphProp4)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X29)=>((ap @ X4 @ X5 @ X29 @ X2)=(X3)))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', funcGraphProp4)).
1.05/0.89	thf(funcGraphProp3, axiom, ((funcGraphProp3)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (kpair @ X2 @ (ap @ X4 @ X5 @ X29 @ X2)) @ X29)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', funcGraphProp3)).
1.05/0.89	thf(brelnall2, axiom, ((brelnall2)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', brelnall2)).
1.05/0.89	thf(brelnall1, axiom, ((brelnall1)<=>![X4:$i, X5:$i, X33:$i]:(((breln @ X4 @ X5 @ X33)=>![X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ X33)=>(X1 @ (kpair @ X2 @ X3)))))))=>![X2:$i]:(((in @ X2 @ X33)=>(X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', brelnall1)).
1.05/0.89	thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>(in @ X29 @ (funcSet @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', funcinfuncset)).
1.05/0.89	thf(infuncsetfunc, axiom, ((infuncsetfunc)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>(func @ X4 @ X5 @ X29)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', infuncsetfunc)).
1.05/0.89	thf(app, axiom, ((app)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (ap @ X4 @ X5 @ X29 @ X2) @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', app)).
1.05/0.89	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodpairsurjEq)).
1.05/0.89	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodpairmemER)).
1.05/0.89	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodpairmemEL)).
1.05/0.89	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', kpairsurjEq)).
1.05/0.89	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ksndpairEq)).
1.05/0.89	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setukpairinjR2)).
1.05/0.89	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setukpairinjL)).
1.05/0.89	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodfstin)).
1.05/0.89	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', kfstpairEq)).
1.05/0.89	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setukpairinjL1)).
1.05/0.89	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', singletonsuniq)).
1.05/0.89	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setunionsingleton1)).
1.05/0.89	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setunionE2)).
1.05/0.89	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodmempair1)).
1.05/0.89	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', cartprodpairin)).
1.05/0.89	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ubforcartprodlem3)).
1.05/0.89	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ubforcartprodlem2)).
1.05/0.89	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', ubforcartprodlem1)).
1.05/0.89	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', upairset2E)).
1.05/0.89	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', singletoninpowunion)).
1.05/0.89	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', singletonsubset)).
1.05/0.89	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', kpairp)).
1.05/0.89	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setukpairIR)).
1.05/0.89	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', secondinupair)).
1.05/0.89	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', symdiffIneg2)).
1.05/0.89	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', symdiffIneg1)).
1.05/0.89	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', symdiffI2)).
1.05/0.89	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusIRneg)).
1.05/0.89	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusELneg)).
1.05/0.89	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusERneg)).
1.05/0.89	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setminusEL)).
1.05/0.89	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectSubset4)).
1.05/0.89	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectRsub)).
1.05/0.89	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectSubset3)).
1.05/0.89	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectSubset2)).
1.05/0.89	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectLsub)).
1.05/0.89	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectEL)).
1.05/0.89	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binintersectSubset5)).
1.05/0.89	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binunionEcases)).
1.05/0.89	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binunionIR)).
1.05/0.89	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', upairset2IR)).
1.05/0.89	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subsetemptysetimpeq)).
1.05/0.89	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setextsub)).
1.05/0.89	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binunionRsub)).
1.05/0.89	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binunionLsub)).
1.05/0.89	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binunionE)).
1.05/0.89	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', binunionIL)).
1.05/0.89	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', powersetsubset)).
1.05/0.89	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', inPowerset)).
1.05/0.89	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', powersetE1)).
1.05/0.89	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', powersetI1)).
1.05/0.89	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subset2powerset)).
1.05/0.89	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setadjoinSub)).
1.05/0.89	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subsetTrans)).
1.05/0.89	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', notsubsetI)).
1.05/0.89	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', emptysetsubset)).
1.05/0.89	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', subsetI2)).
1.05/0.89	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', eqimpsubset1)).
1.05/0.89	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', omega__Cong)).
1.05/0.89	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setunion__Cong)).
1.05/0.89	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', emptyset__Cong)).
1.05/0.89	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', in__Cong)).
1.05/0.89	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', notdallE)).
1.05/0.89	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', notdexE)).
1.05/0.89	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', prop2setI)).
1.05/0.89	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', quantDeMorgan4)).
1.05/0.89	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', quantDeMorgan1)).
1.05/0.89	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', singletonsswitch)).
1.05/0.89	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', notinsingleton)).
1.05/0.89	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', uniqinunit)).
1.05/0.89	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', nonemptyImpWitness)).
1.05/0.89	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setunionI)).
1.05/0.89	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', powersetE)).
1.05/0.89	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setadjoinOr)).
1.05/0.89	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', setadjoinIR)).
1.05/0.89	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', emptyinunitempty)).
1.05/0.89	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', nonemptyE1)).
1.05/0.89	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', noeltsimpempty)).
1.05/0.89	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', notinemptyset)).
1.05/0.89	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', wellorderingAx)).
1.05/0.89	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', foundationAx)).
1.05/0.89	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', omegaIndAx)).
1.05/0.89	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.oo5wkbtmnC/E---3.1_25513.p', powersetAx)).
1.05/0.89	thf(c_0_244, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>((exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
1.05/0.89	thf(c_0_245, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
1.05/0.89	thf(c_0_246, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
1.05/0.89	thf(c_0_247, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
1.05/0.89	thf(c_0_248, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
1.05/0.89	thf(c_0_249, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
1.05/0.89	thf(c_0_250, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
1.05/0.89	thf(c_0_251, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
1.05/0.89	thf(c_0_252, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
1.05/0.89	thf(c_0_253, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
1.05/0.89	thf(c_0_254, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
1.05/0.89	thf(c_0_255, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
1.05/0.89	thf(c_0_256, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X23:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
1.05/0.89	thf(c_0_257, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X25:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X25 @ Z0 @ Z1)))))=>(X25 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
1.05/0.89	thf(c_0_258, plain, ((dpsetconstrEL2)<=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X27 @ Z0 @ Z1)))))=>(in @ X3 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL2])).
1.05/0.89	thf(c_0_259, plain, ((apProp)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(in @ (setunion @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29))))) @ X5)))))), inference(fof_simplification,[status(thm)],[apProp])).
1.05/0.89	thf(c_0_260, plain, ((lamProp)<=>![X4:$i, X5:$i, X30:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X30 @ X2) @ X5)))=>(func @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X30 @ Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[lamProp])).
1.05/0.89	thf(c_0_261, plain, ((lam2p)<=>![X4:$i, X5:$i, X32:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X32 @ X2) @ X5)))=>(in @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X32 @ Z0))) @ (funcSet @ X4 @ X5))))), inference(fof_simplification,[status(thm)],[lam2p])).
1.05/0.89	thf(c_0_262, plain, ((ex1E2)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[ex1E2])).
1.05/0.89	thf(c_0_263, plain, ((eta2)<=>![X4:$i, X5:$i, X29:$i]:(((in @ X29 @ (funcSet @ X4 @ X5))=>((lam @ X4 @ X5 @ (^[Z0/* 248 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta2])).
1.05/0.89	thf(c_0_264, plain, ((iffalseProp1)<=>![X4:$i, X39:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X39))=>(in @ X3 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X39)&((Z0)=(X2)))|(~((X39))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iffalseProp1])).
1.05/0.89	thf(c_0_265, plain, ((iffalseProp2)<=>![X4:$i, X40:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(~((X40))=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X40)&((Z0)=(X2)))|(~((X40))&((Z0)=(X3)))))))=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iffalseProp2])).
1.05/0.89	thf(c_0_266, plain, ((iftrueProp1)<=>![X4:$i, X41:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X41)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X41)&((Z0)=(X2)))|(~((X41))&((Z0)=(X3)))))))))))))), inference(fof_simplification,[status(thm)],[iftrueProp1])).
1.05/0.89	thf(c_0_267, plain, ((ifSingleton)<=>![X4:$i, X43:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>(singleton @ (dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X43)&((Z0)=(X2)))|(~((X43))&((Z0)=(X3))))))))))))), inference(fof_simplification,[status(thm)],[ifSingleton])).
1.05/0.89	thf(c_0_268, plain, ((iftrueProp2)<=>![X4:$i, X42:$o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X42)=>((dsetconstr @ X4 @ (^[Z0/* 9 */:$i]:((((X42)&((Z0)=(X2)))|(~((X42))&((Z0)=(X3)))))))=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[iftrueProp2])).
1.05/0.89	thf(c_0_269, plain, ((beta2)<=>![X4:$i, X5:$i, X38:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X38 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X38 @ Z0))) @ X2)=(X38 @ X2))))))), inference(fof_simplification,[status(thm)],[beta2])).
1.05/0.89	thf(c_0_270, plain, ((lam2lamEq)<=>![X4:$i, X5:$i, X37:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X37 @ X2) @ X5)))=>((lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0)))=(lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X37 @ Z0))))))), inference(fof_simplification,[status(thm)],[lam2lamEq])).
1.05/0.89	thf(c_0_271, plain, ((eta1)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>((lam @ X4 @ X5 @ (^[Z0/* 248 */:$i]:(ap @ X4 @ X5 @ X29 @ Z0)))=(X29))))), inference(fof_simplification,[status(thm)],[eta1])).
1.05/0.89	thf(c_0_272, plain, ((beta1)<=>![X4:$i, X5:$i, X36:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X36 @ X2) @ X5)))=>![X2:$i]:(((in @ X2 @ X4)=>((ap @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X36 @ Z0))) @ X2)=(X36 @ X2))))))), inference(fof_simplification,[status(thm)],[beta1])).
1.05/0.89	thf(c_0_273, plain, ((lamp)<=>![X4:$i, X5:$i, X31:$i > $i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ (X31 @ X2) @ X5)))=>(func @ X4 @ X5 @ (lam @ X4 @ X5 @ (^[Z0/* 17 */:$i]:(X31 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])).
1.05/0.89	thf(c_0_274, plain, ((funcImageSingleton)<=>![X4:$i, X5:$i, X29:$i]:(((func @ X4 @ X5 @ X29)=>![X2:$i]:(((in @ X2 @ X4)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ X29)))))))))), inference(fof_simplification,[status(thm)],[funcImageSingleton])).
1.05/0.89	thf(c_0_275, plain, ((dpsetconstrER)<=>![X4:$i, X5:$i, X28:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X28 @ Z0 @ Z1)))))=>(X28 @ X2 @ X3)))), inference(fof_simplification,[status(thm)],[dpsetconstrER])).
1.05/0.89	thf(c_0_276, plain, ((dpsetconstrEL1)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dpsetconstrEL1])).
1.05/0.89	thf(c_0_277, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
1.05/0.89	thf(c_0_278, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X22:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X22 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X22 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
1.05/0.89	thf(c_0_279, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
1.05/0.89	thf(c_0_280, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
1.05/0.89	thf(c_0_281, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
1.05/0.89	thf(c_0_282, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
1.05/0.89	thf(c_0_283, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0/* 3 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
1.05/0.89	thf(c_0_284, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
1.05/0.89	thf(c_0_285, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
1.05/0.89	thf(c_0_286, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
1.05/0.89	thf(c_0_287, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
1.05/0.89	thf(c_0_288, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
1.05/0.89	thf(c_0_289, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
1.05/0.89	thf(c_0_290, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
1.05/0.89	thf(c_0_291, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
1.05/0.89	thf(c_0_292, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
1.05/0.89	thf(c_0_293, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
1.05/0.89	thf(c_0_294, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0/* 3 */:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
1.05/0.89	thf(c_0_295, plain, ((epred1_0)<=>![X824:$i]:(?[X825:$i]:((((![X826:$i]:(((in @ X826 @ X825)=>![X827:$i]:(((in @ X827 @ X826)=>(in @ X827 @ X824)))))&![X828:$i, X829:$i]:((((in @ X828 @ X824)&(in @ X829 @ X824))=>(![X830:$i]:(((in @ X830 @ X825)=>((in @ X828 @ X830)<=>(in @ X829 @ X830))))=>((X828)=(X829))))))&![X831:$i, X832:$i]:((((in @ X831 @ X825)&(in @ X832 @ X825))=>(![X833:$i]:(((in @ X833 @ X831)=>(in @ X833 @ X832)))|![X834:$i]:(((in @ X834 @ X832)=>(in @ X834 @ X831)))))))&![X835:$i]:(((![X836:$i]:(((in @ X836 @ X835)=>(in @ X836 @ X824)))&?[X837:$i]:((in @ X837 @ X835)))=>?[X838:$i, X839:$i]:(((((in @ X838 @ X825)&(in @ X839 @ X835))&~(?[X840:$i]:(((in @ X840 @ X838)&(in @ X840 @ X835)))))&![X841:$i]:(((in @ X841 @ X825)=>(![X842:$i]:(((in @ X842 @ X841)=>(in @ X842 @ X838)))|(in @ X839 @ X841)))))))))))), introduced(definition)).
1.05/0.89	thf(c_0_296, negated_conjecture, ~((![X1561:$i, X1562:$i]:((![X1563:$i]:(((in @ X1563 @ X1561)<=>(in @ X1563 @ X1562)))=>((X1561)=(X1562))))=>(![X1560:$i]:(~(in @ X1560 @ emptyset))=>(![X1557:$i, X1558:$i, X1559:$i]:(((in @ X1559 @ (setadjoin @ X1557 @ X1558))<=>(((X1559)=(X1557))|(in @ X1559 @ X1558))))=>(![X808:$i, X809:$i]:(((in @ X809 @ (powerset @ X808))<=>![X810:$i]:(((in @ X810 @ X809)=>(in @ X810 @ X808)))))=>(![X1554:$i, X1555:$i]:(((in @ X1555 @ (setunion @ X1554))<=>?[X1556:$i]:(((in @ X1555 @ X1556)&(in @ X1556 @ X1554)))))=>((in @ emptyset @ omega)=>(![X1553:$i]:(((in @ X1553 @ omega)=>(in @ (setadjoin @ X1553 @ X1553) @ omega)))=>(![X811:$i]:((((in @ emptyset @ X811)&![X812:$i]:((((in @ X812 @ omega)&(in @ X812 @ X811))=>(in @ (setadjoin @ X812 @ X812) @ X811))))=>![X813:$i]:(((in @ X813 @ omega)=>(in @ X813 @ X811)))))=>(![X814:$i > $i > $o, X815:$i]:((![X816:$i]:(((in @ X816 @ X815)=>(exu @ (X814 @ X816))))=>?[X817:$i]:(![X818:$i]:(((in @ X818 @ X817)<=>?[X819:$i]:(((in @ X819 @ X815)&(X814 @ X819 @ X818))))))))=>(![X820:$i]:((?[X821:$i]:((in @ X821 @ X820))=>?[X822:$i]:(((in @ X822 @ X820)&~(?[X823:$i]:(((in @ X823 @ X822)&(in @ X823 @ X820))))))))=>((epred1_0)=>(![X1552:$i > $o]:(((exu @ X1552)=>(X1552 @ (descr @ (^[Z0/* 17 */:$i]:(X1552 @ Z0))))))=>(![X1549:$i, X1550:$i > $o, X1551:$i]:(((in @ X1551 @ X1549)=>((X1550 @ X1551)=>(in @ X1551 @ (dsetconstr @ X1549 @ X1550)))))=>(![X1546:$i, X1547:$i > $o, X1548:$i]:(((in @ X1548 @ (dsetconstr @ X1546 @ X1547))=>(in @ X1548 @ X1546)))=>(![X843:$i, X844:$i > $o, X845:$i]:(((in @ X845 @ (dsetconstr @ X843 @ X844))=>(X844 @ X845)))=>(![X1543:$i > $o]:(((exu @ X1543)=>?[X1544:$i]:(((X1543 @ X1544)&![X1545:$i]:(((X1543 @ X1545)=>((X1544)=(X1545))))))))=>(![X1541:$o, X1542:$i]:(((in @ X1542 @ (prop2set @ ((X1541))))=>(X1541)))=>(![X1539:$i]:(((in @ X1539 @ emptyset)=>![X1540:$o]:((X1540))))=>(![X1538:$i]:(((in @ X1538 @ emptyset)=>~($true)))=>(![X846:$i]:(~(in @ X846 @ emptyset))=>(![X847:$i > $o]:(((exu @ X847)=>?[X848:$i]:((X847 @ X848))))=>(![X1534:$i, X1535:$i]:((![X1536:$i]:(((in @ X1536 @ X1534)=>(in @ X1536 @ X1535)))=>(![X1537:$i]:(((in @ X1537 @ X1535)=>(in @ X1537 @ X1534)))=>((X1534)=(X1535)))))=>(![X1532:$i]:((![X1533:$i]:(~(in @ X1533 @ X1532))=>((X1532)=(emptyset))))=>(![X849:$i]:((![X850:$i]:(~(in @ X850 @ X849))=>((X849)=(emptyset))))=>(![X1529:$i, X1530:$i > $o, X1531:$i]:(((in @ X1531 @ X1529)=>((in @ X1531 @ (dsetconstr @ X1529 @ X1530))<=>(X1530 @ X1531))))=>(![X851:$i]:(((nonempty @ X851)=>?[X852:$i]:((in @ X852 @ X851))))=>(![X1526:$i, X1527:$i > $o, X1528:$i]:(((in @ X1528 @ X1526)=>((X1527 @ X1528)=>(nonempty @ (dsetconstr @ X1526 @ X1527)))))=>(![X1524:$i]:((?[X1525:$i]:((in @ X1525 @ X1524))=>(nonempty @ X1524)))=>(![X1522:$i, X1523:$i]:((in @ X1522 @ (setadjoin @ X1522 @ X1523)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X853:$i, X854:$i, X855:$i]:(((in @ X855 @ X854)=>(in @ X855 @ (setadjoin @ X853 @ X854))))=>(![X1518:$i, X1519:$i, X1520:$i]:(((in @ X1520 @ (setadjoin @ X1518 @ X1519))=>![X1521:$o]:(((((X1520)=(X1518))=>(X1521))=>(((in @ X1520 @ X1519)=>(X1521))=>(X1521))))))=>(![X856:$i, X857:$i, X858:$i]:(((in @ X858 @ (setadjoin @ X856 @ X857))=>(((X858)=(X856))|(in @ X858 @ X857))))=>(![X859:$i]:(((dsetconstr @ X859 @ (^[Z0/* 1 */:$i]:($true)))=(X859)))=>(![X1515:$i, X1516:$i]:((![X1517:$i]:(((in @ X1517 @ X1516)=>(in @ X1517 @ X1515)))=>(in @ X1516 @ (powerset @ X1515))))=>(![X1514:$i]:((in @ emptyset @ (powerset @ X1514)))=>(![X1513:$i]:((in @ emptyset @ (powerset @ X1513)))=>(![X860:$i, X861:$i, X862:$i]:(((in @ X861 @ (powerset @ X860))=>((in @ X862 @ X861)=>(in @ X862 @ X860))))=>(![X863:$i, X864:$i, X865:$i]:(((in @ X864 @ X865)=>((in @ X865 @ X863)=>(in @ X864 @ (setunion @ X863)))))=>(![X1509:$i, X1510:$i]:(((in @ X1510 @ (setunion @ X1509))=>![X1511:$o]:((![X1512:$i]:(((in @ X1510 @ X1512)=>((in @ X1512 @ X1509)=>(X1511))))=>(X1511)))))=>(![X1507:$i, X1508:$i]:(((in @ X1508 @ X1507)=>(in @ X1508 @ (powerset @ (setunion @ X1507)))))=>(![X866:$i > $o]:(((exu @ X866)=>?[X867:$i]:(![X868:$i]:(((X866 @ X868)<=>((X868)=(X867)))))))=>(![X869:$i]:(((nonempty @ X869)=>?[X870:$i]:(((in @ X870 @ X869)&$true))))=>(![X871:$i, X872:$i]:(((in @ X871 @ (setadjoin @ X872 @ emptyset))=>((X871)=(X872))))=>(![X873:$i, X874:$i]:((((X873)!=(X874))=>~(in @ X874 @ (setadjoin @ X873 @ emptyset))))=>(![X1505:$i, X1506:$i]:((((X1505)=(X1506))=>(in @ X1505 @ (setadjoin @ X1506 @ emptyset))))=>(![X875:$i, X876:$i]:(((in @ X875 @ (setadjoin @ X876 @ emptyset))=>(in @ X876 @ (setadjoin @ X875 @ emptyset))))=>(![X1502:$i, X1503:$i, X1504:$i]:(((in @ X1504 @ (setadjoin @ X1502 @ (setadjoin @ X1503 @ emptyset)))=>(((X1504)=(X1502))|((X1504)=(X1503)))))=>(![X1500:$i, X1501:$i]:((in @ X1500 @ (setadjoin @ X1500 @ (setadjoin @ X1501 @ emptyset))))=>(![X1498:$i, X1499:$i]:((in @ X1499 @ (setadjoin @ X1498 @ (setadjoin @ X1499 @ emptyset))))=>(![X877:$i, X878:$i > $o]:((?[X879:$i]:(((in @ X879 @ X877)&(X878 @ X879)))=>(((dsetconstr @ X877 @ X878)=(emptyset))=>~($true))))=>(![X1496:$i > $o, X1497:$i]:(((in @ X1497 @ emptyset)=>(X1496 @ X1497)))=>(![X880:$i, X881:$i > $o]:((~(![X882:$i]:(((in @ X882 @ X880)=>(X881 @ X882))))=>?[X883:$i]:(((in @ X883 @ X880)&~((X881 @ X883))))))=>(![X1492:$i, X1493:$i > $o]:((![X1494:$i]:(((in @ X1494 @ X1492)=>~((X1493 @ X1494))))=>~(?[X1495:$i]:(((in @ X1495 @ X1492)&(X1493 @ X1495))))))=>(![X1488:$i, X1489:$i > $o]:((~(?[X1490:$i]:(((in @ X1490 @ X1488)&(X1489 @ X1490))))=>![X1491:$i]:(((in @ X1491 @ X1488)=>~((X1489 @ X1491))))))=>(![X884:$i, X885:$i > $o]:((?[X886:$i]:(((in @ X886 @ X884)&~((X885 @ X886))))=>~(![X887:$i]:(((in @ X887 @ X884)=>(X885 @ X887))))))=>(![X888:$o]:(((X888)=>(in @ emptyset @ (prop2set @ ((X888))))))=>((prop2set2propI)=>(![X889:$i, X890:$i > $o]:((~(?[X891:$i]:(((in @ X891 @ X889)&(X890 @ X891))))=>![X892:$i]:(((in @ X892 @ X889)=>~((X890 @ X892))))))=>(![X893:$i, X894:$i > $o]:((~(![X895:$i]:(((in @ X895 @ X893)=>(X894 @ X895))))=>?[X896:$i]:(((in @ X896 @ X893)&~((X894 @ X896))))))=>(![X897:$i > $o]:((?[X898:$i]:(((X897 @ X898)&![X899:$i]:(((X897 @ X899)=>((X898)=(X899))))))=>(exu @ X897)))=>(![X900:$i > $o]:((?[X901:$i]:((X900 @ X901))=>(![X902:$i, X903:$i]:(((X900 @ X902)=>((X900 @ X903)=>((X902)=(X903)))))=>(exu @ X900))))=>(![X904:$i > $o]:((?[X905:$i]:(![X906:$i]:(((X904 @ X906)<=>((X906)=(X905)))))=>(exu @ X904)))=>(![X1484:$i, X1485:$i]:((((X1484)=(X1485))=>![X1486:$i, X1487:$i]:((((X1486)=(X1487))=>((in @ X1486 @ X1484)=>(in @ X1487 @ X1485))))))=>(![X907:$i, X908:$i]:((((X907)=(X908))=>![X909:$i, X910:$i]:((((X909)=(X910))=>((in @ X909 @ X907)<=>(in @ X910 @ X908))))))=>(![X911:$i > $o]:(((exu @ X911)=>![X912:$i, X913:$i]:(((X911 @ X912)=>((X911 @ X913)=>((X912)=(X913)))))))=>(![X1480:$i > $o, X1481:$i > $o]:((![X1482:$i, X1483:$i]:((((X1482)=(X1483))=>((X1480 @ X1482)<=>(X1481 @ X1483))))=>((exu @ X1480)<=>(exu @ X1481))))=>(((emptyset)=(emptyset))=>(![X1476:$i, X1477:$i]:((((X1476)=(X1477))=>![X1478:$i, X1479:$i]:((((X1478)=(X1479))=>((setadjoin @ X1476 @ X1478)=(setadjoin @ X1477 @ X1479))))))=>(![X1474:$i, X1475:$i]:((((X1474)=(X1475))=>((powerset @ X1474)=(powerset @ X1475))))=>(![X914:$i, X915:$i]:((((X914)=(X915))=>((setunion @ X914)=(setunion @ X915))))=>(((omega)=(omega))=>(![X916:$i > $o]:(((exu @ X916)=>![X917:$i, X918:$i]:(((X916 @ X917)=>((X916 @ X918)=>((X917)=(X918)))))))=>(![X1470:$i > $o, X1471:$i > $o]:((![X1472:$i, X1473:$i]:((((X1472)=(X1473))=>((X1470 @ X1472)<=>(X1471 @ X1473))))=>((exu @ X1470)=>((exu @ X1471)=>((descr @ X1470)=(descr @ X1471))))))=>(![X919:$i, X920:$i]:((((X919)=(X920))=>![X921:$i > $o, X922:$i > $o]:((![X923:$i]:(((in @ X923 @ X919)=>![X924:$i]:(((in @ X924 @ X920)=>(((X923)=(X924))=>((X921 @ X923)<=>(X922 @ X924)))))))=>((dsetconstr @ X919 @ X921)=(dsetconstr @ X920 @ X922))))))=>(![X1467:$i, X1468:$i]:((![X1469:$i]:(((in @ X1469 @ X1467)=>(in @ X1469 @ X1468)))=>(subset @ X1467 @ X1468)))=>(![X1465:$i, X1466:$i]:((((X1465)=(X1466))=>(subset @ X1466 @ X1465)))=>(![X925:$i, X926:$i]:((((X925)=(X926))=>(subset @ X925 @ X926)))=>(![X927:$i, X928:$i]:((![X929:$i]:(((in @ X929 @ X927)=>(in @ X929 @ X928)))=>(subset @ X927 @ X928)))=>(![X930:$i]:((subset @ emptyset @ X930))=>(![X1462:$i, X1463:$i, X1464:$i]:(((subset @ X1462 @ X1463)=>((in @ X1464 @ X1462)=>(in @ X1464 @ X1463))))=>(![X1459:$i, X1460:$i, X1461:$i]:(((subset @ X1459 @ X1460)=>(~(in @ X1461 @ X1460)=>~(in @ X1461 @ X1459))))=>(![X931:$i, X932:$i, X933:$i]:(((in @ X933 @ X931)=>(~(in @ X933 @ X932)=>~(subset @ X931 @ X932))))=>(![X1457:$i, X1458:$i]:((~(subset @ X1457 @ X1458)=>((X1457)!=(X1458))))=>(![X1454:$i, X1455:$i, X1456:$i]:(((in @ X1456 @ X1454)=>(~(in @ X1456 @ X1455)=>((X1454)!=(X1455)))))=>(![X1453:$i]:((subset @ X1453 @ X1453))=>(![X934:$i, X935:$i, X936:$i]:(((subset @ X934 @ X935)=>((subset @ X935 @ X936)=>(subset @ X934 @ X936))))=>(![X937:$i, X938:$i]:((subset @ X938 @ (setadjoin @ X937 @ X938)))=>(![X1450:$i, X1451:$i, X1452:$i]:(((subset @ X1450 @ X1452)=>(subset @ X1450 @ (setadjoin @ X1451 @ X1452))))=>(![X939:$i, X940:$i]:(((subset @ X939 @ X940)=>(in @ X939 @ (powerset @ X940))))=>(![X1448:$i, X1449:$i]:(((subset @ X1448 @ X1449)=>((subset @ X1449 @ X1448)=>((X1448)=(X1449)))))=>(![X1447:$i]:(((subset @ X1447 @ emptyset)=>((X1447)=(emptyset))))=>(![X941:$i, X942:$i]:(((subset @ X942 @ X941)=>(in @ X942 @ (powerset @ X941))))=>(![X943:$i, X944:$i]:(((in @ X944 @ (powerset @ X943))=>(subset @ X944 @ X943)))=>(![X945:$i]:((in @ X945 @ (powerset @ X945)))=>(![X946:$i, X947:$i]:(((subset @ X946 @ X947)=>(subset @ (powerset @ X946) @ (powerset @ X947))))=>(![X1445:$i, X1446:$i > $o]:((in @ (dsetconstr @ X1445 @ X1446) @ (powerset @ X1445)))=>(![X1443:$i, X1444:$i > $o]:((subset @ (dsetconstr @ X1443 @ X1444) @ X1443))=>(![X948:$i, X949:$i, X950:$i]:(((in @ X950 @ X948)=>(in @ X950 @ (binunion @ X948 @ X949))))=>(![X1441:$i, X1442:$i]:((in @ X1442 @ (setadjoin @ X1441 @ (setadjoin @ X1442 @ emptyset))))=>(![X1438:$i, X1439:$i, X1440:$i]:(((in @ X1440 @ X1439)=>(in @ X1440 @ (binunion @ X1438 @ X1439))))=>(![X1434:$i, X1435:$i, X1436:$i, X1437:$o]:(((in @ X1436 @ (binunion @ X1434 @ X1435))=>(((in @ X1436 @ X1434)=>(X1437))=>(((in @ X1436 @ X1435)=>(X1437))=>(X1437)))))=>(![X951:$i, X952:$i, X953:$i]:(((in @ X953 @ (binunion @ X951 @ X952))=>((in @ X953 @ X951)|(in @ X953 @ X952))))=>(![X954:$i, X955:$i]:((subset @ X954 @ (binunion @ X954 @ X955)))=>(![X956:$i, X957:$i]:((subset @ X957 @ (binunion @ X956 @ X957)))=>(![X958:$i, X959:$i, X960:$i]:(((in @ X960 @ X958)=>((in @ X960 @ X959)=>(in @ X960 @ (binintersect @ X958 @ X959)))))=>(![X1431:$i, X1432:$i, X1433:$i]:(((subset @ X1433 @ X1431)=>((subset @ X1433 @ X1432)=>(subset @ X1433 @ (binintersect @ X1431 @ X1432)))))=>(![X1428:$i, X1429:$i, X1430:$i]:(((in @ X1430 @ (binintersect @ X1428 @ X1429))=>(in @ X1430 @ X1428)))=>(![X1426:$i, X1427:$i]:((subset @ (binintersect @ X1426 @ X1427) @ X1426))=>(![X1424:$i, X1425:$i]:(((subset @ X1424 @ X1425)=>((binintersect @ X1424 @ X1425)=(X1424))))=>(![X1422:$i, X1423:$i]:((((binintersect @ X1422 @ X1423)=(X1423))=>(subset @ X1423 @ X1422)))=>(![X961:$i, X962:$i, X963:$i]:(((in @ X963 @ (binintersect @ X961 @ X962))=>(in @ X963 @ X962)))=>(![X964:$i, X965:$i]:((~(?[X966:$i]:(((in @ X966 @ X964)&(in @ X966 @ X965))))=>((binintersect @ X964 @ X965)=(emptyset))))=>(![X1420:$i, X1421:$i]:((subset @ (binintersect @ X1420 @ X1421) @ X1421))=>(![X1418:$i, X1419:$i]:(((subset @ X1419 @ X1418)=>((binintersect @ X1418 @ X1419)=(X1419))))=>(![X967:$i, X968:$i]:((((binintersect @ X967 @ X968)=(X967))=>(subset @ X967 @ X968)))=>(![X969:$i, X970:$i, X971:$i]:(((binintersect @ X969 @ (binunion @ X970 @ X971))=(binunion @ (binintersect @ X969 @ X970) @ (binintersect @ X969 @ X971))))=>(![X972:$i, X973:$i, X974:$i]:(((in @ X974 @ X972)=>(~(in @ X974 @ X973)=>(in @ X974 @ (setminus @ X972 @ X973)))))=>(![X1415:$i, X1416:$i, X1417:$i]:(((in @ X1417 @ (setminus @ X1415 @ X1416))=>(in @ X1417 @ X1415)))=>(![X975:$i, X976:$i, X977:$i]:(((in @ X977 @ (setminus @ X975 @ X976))=>~(in @ X977 @ X976)))=>(![X978:$i, X979:$i]:(((subset @ X978 @ X979)=>((setminus @ X978 @ X979)=(emptyset))))=>(![X1412:$i, X1413:$i, X1414:$i]:((~(in @ X1414 @ (setminus @ X1412 @ X1413))=>((in @ X1414 @ X1412)=>(in @ X1414 @ X1413))))=>(![X1409:$i, X1410:$i, X1411:$i]:((~(in @ X1411 @ (setminus @ X1409 @ X1410))=>(~(in @ X1411 @ X1410)=>~(in @ X1411 @ X1409))))=>(![X980:$i, X981:$i, X982:$i]:((~(in @ X982 @ X980)=>~(in @ X982 @ (setminus @ X980 @ X981))))=>(![X1406:$i, X1407:$i, X1408:$i]:(((in @ X1408 @ X1407)=>~(in @ X1408 @ (setminus @ X1406 @ X1407))))=>(![X983:$i, X984:$i]:((subset @ (setminus @ X983 @ X984) @ X983))=>(![X985:$i, X986:$i]:((((setminus @ X985 @ X986)=(emptyset))=>(subset @ X985 @ X986)))=>(![X987:$i, X988:$i, X989:$i]:(((in @ X989 @ (symdiff @ X987 @ X988))=>![X990:$o]:((((in @ X989 @ X987)=>(~(in @ X989 @ X988)=>(X990)))=>((~(in @ X989 @ X987)=>((in @ X989 @ X988)=>(X990)))=>(X990))))))=>(![X991:$i, X992:$i, X993:$i]:(((in @ X993 @ X991)=>(~(in @ X993 @ X992)=>(in @ X993 @ (symdiff @ X991 @ X992)))))=>(![X1403:$i, X1404:$i, X1405:$i]:((~(in @ X1405 @ X1403)=>((in @ X1405 @ X1404)=>(in @ X1405 @ (symdiff @ X1403 @ X1404)))))=>(![X1400:$i, X1401:$i, X1402:$i]:(((in @ X1402 @ X1400)=>((in @ X1402 @ X1401)=>~(in @ X1402 @ (symdiff @ X1400 @ X1401)))))=>(![X1397:$i, X1398:$i, X1399:$i]:((~(in @ X1399 @ X1397)=>(~(in @ X1399 @ X1398)=>~(in @ X1399 @ (symdiff @ X1397 @ X1398)))))=>(![X1395:$i, X1396:$i]:((in @ X1396 @ (setadjoin @ X1395 @ (setadjoin @ X1396 @ emptyset))))=>(![X994:$i, X995:$i]:((in @ X994 @ (setunion @ (setadjoin @ (setadjoin @ X994 @ emptyset) @ (setadjoin @ (setadjoin @ X994 @ (setadjoin @ X995 @ emptyset)) @ emptyset)))))=>(![X1393:$i, X1394:$i]:((in @ X1394 @ (setunion @ (setadjoin @ (setadjoin @ X1393 @ emptyset) @ (setadjoin @ (setadjoin @ X1393 @ (setadjoin @ X1394 @ emptyset)) @ emptyset)))))=>(![X996:$i, X997:$i]:((iskpair @ (setadjoin @ (setadjoin @ X996 @ emptyset) @ (setadjoin @ (setadjoin @ X996 @ (setadjoin @ X997 @ emptyset)) @ emptyset))))=>(![X1391:$i, X1392:$i]:((iskpair @ (kpair @ X1391 @ X1392)))=>(![X1389:$i, X1390:$i]:(((in @ X1390 @ X1389)=>(subset @ (setadjoin @ X1390 @ emptyset) @ X1389)))=>(![X998:$i, X999:$i]:(((in @ X999 @ X998)=>(in @ (setadjoin @ X999 @ emptyset) @ (powerset @ X998))))=>(![X1386:$i, X1387:$i, X1388:$i]:(((in @ X1388 @ X1386)=>(in @ (setadjoin @ X1388 @ emptyset) @ (powerset @ (binunion @ X1386 @ X1387)))))=>(![X1383:$i, X1384:$i, X1385:$i]:(((in @ X1385 @ (setadjoin @ X1383 @ (setadjoin @ X1384 @ emptyset)))=>(((X1385)=(X1383))|((X1385)=(X1384)))))=>(![X1000:$i, X1001:$i, X1002:$i]:(((in @ X1002 @ X1000)=>![X1003:$i]:(((in @ X1003 @ X1001)=>(subset @ (setadjoin @ X1002 @ (setadjoin @ X1003 @ emptyset)) @ (binunion @ X1000 @ X1001))))))=>(![X1004:$i, X1005:$i, X1006:$i]:(((in @ X1006 @ X1004)=>![X1007:$i]:(((in @ X1007 @ X1005)=>(in @ (setadjoin @ X1006 @ (setadjoin @ X1007 @ emptyset)) @ (powerset @ (binunion @ X1004 @ X1005)))))))=>(![X1379:$i, X1380:$i, X1381:$i]:(((in @ X1381 @ X1379)=>![X1382:$i]:(((in @ X1382 @ X1380)=>(subset @ (setadjoin @ (setadjoin @ X1381 @ emptyset) @ (setadjoin @ (setadjoin @ X1381 @ (setadjoin @ X1382 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1379 @ X1380)))))))=>(![X1375:$i, X1376:$i, X1377:$i]:(((in @ X1377 @ X1375)=>![X1378:$i]:(((in @ X1378 @ X1376)=>(in @ (setadjoin @ (setadjoin @ X1377 @ emptyset) @ (setadjoin @ (setadjoin @ X1377 @ (setadjoin @ X1378 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1375 @ X1376))))))))=>(![X1371:$i, X1372:$i, X1373:$i]:(((in @ X1373 @ X1371)=>![X1374:$i]:(((in @ X1374 @ X1372)=>(in @ (kpair @ X1373 @ X1374) @ (powerset @ (powerset @ (binunion @ X1371 @ X1372))))))))=>(![X1367:$i, X1368:$i, X1369:$i]:(((in @ X1369 @ X1367)=>![X1370:$i]:(((in @ X1370 @ X1368)=>(in @ (kpair @ X1369 @ X1370) @ (cartprod @ X1367 @ X1368))))))=>(![X1362:$i, X1363:$i, X1364:$i]:(((in @ X1364 @ (cartprod @ X1362 @ X1363))=>?[X1365:$i]:(((in @ X1365 @ X1362)&?[X1366:$i]:(((in @ X1366 @ X1363)&((X1364)=(kpair @ X1365 @ X1366))))))))=>(![X1008:$i, X1009:$i, X1010:$i]:(((in @ X1010 @ (cartprod @ X1008 @ X1009))=>(iskpair @ X1010)))=>(![X1359:$i, X1360:$i]:(((in @ X1360 @ (setunion @ X1359))=>?[X1361:$i]:(((in @ X1361 @ X1359)&(in @ X1360 @ X1361)))))=>(![X1358:$i]:((subset @ (setunion @ (setadjoin @ X1358 @ emptyset)) @ X1358))=>(![X1011:$i]:((subset @ X1011 @ (setunion @ (setadjoin @ X1011 @ emptyset))))=>(![X1012:$i]:(((setunion @ (setadjoin @ X1012 @ emptyset))=(X1012)))=>(![X1013:$i, X1014:$i > $o]:((![X1015:$i]:(((in @ X1015 @ X1013)=>![X1016:$i]:(((in @ X1016 @ X1013)=>((X1014 @ X1015)=>((X1014 @ X1016)=>((X1015)=(X1016))))))))=>(?[X1017:$i]:(((in @ X1017 @ X1013)&(X1014 @ X1017)))=>(singleton @ (dsetconstr @ X1013 @ X1014)))))=>(![X1018:$i, X1019:$i > $o]:(((ex1 @ X1018 @ X1019)=>?[X1020:$i]:(((in @ X1020 @ X1018)&(X1019 @ X1020)))))=>(![X1354:$i, X1355:$i > $o, X1356:$i]:(((in @ X1356 @ X1354)=>((X1355 @ X1356)=>(![X1357:$i]:(((in @ X1357 @ X1354)=>((X1355 @ X1357)=>((X1357)=(X1356)))))=>(ex1 @ X1354 @ X1355)))))=>(![X1021:$i, X1022:$i > $o]:((![X1023:$i]:(((in @ X1023 @ X1021)=>![X1024:$i]:(((in @ X1024 @ X1021)=>((X1022 @ X1023)=>((X1022 @ X1024)=>((X1023)=(X1024))))))))=>(?[X1025:$i]:(((in @ X1025 @ X1021)&(X1022 @ X1025)))=>(ex1 @ X1021 @ X1022))))=>(![X1352:$i, X1353:$i]:((((setadjoin @ X1352 @ emptyset)=(setadjoin @ X1353 @ emptyset))=>((X1352)=(X1353))))=>(![X1349:$i, X1350:$i, X1351:$i]:(((in @ (setadjoin @ X1351 @ emptyset) @ (setadjoin @ (setadjoin @ X1349 @ emptyset) @ (setadjoin @ (setadjoin @ X1349 @ (setadjoin @ X1350 @ emptyset)) @ emptyset)))=>((X1349)=(X1351))))=>(![X1348:$i]:(((iskpair @ X1348)=>(singleton @ (dsetconstr @ (setunion @ X1348) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1348)))))))=>(![X1026:$i]:(((singleton @ X1026)=>(in @ (setunion @ X1026) @ X1026)))=>(![X1346:$i, X1347:$i]:(((kfst @ (kpair @ X1346 @ X1347))=(X1346)))=>(![X1343:$i, X1344:$i, X1345:$i]:(((in @ X1345 @ (cartprod @ X1343 @ X1344))=>(in @ (kfst @ X1345) @ X1343)))=>(![X1027:$i, X1028:$i, X1029:$i, X1030:$i]:((((setadjoin @ (setadjoin @ X1027 @ emptyset) @ (setadjoin @ (setadjoin @ X1027 @ (setadjoin @ X1028 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1029 @ emptyset) @ (setadjoin @ (setadjoin @ X1029 @ (setadjoin @ X1030 @ emptyset)) @ emptyset)))=>((X1027)=(X1029))))=>(![X1339:$i, X1340:$i, X1341:$i, X1342:$i]:((((kpair @ X1339 @ X1340)=(kpair @ X1341 @ X1342))=>((X1339)=(X1341))))=>(![X1031:$i, X1032:$i]:((((X1031)=(X1032))=>((setadjoin @ X1031 @ (setadjoin @ X1032 @ emptyset))=(setadjoin @ X1031 @ emptyset))))=>(![X1033:$i, X1034:$i]:((((X1033)=(X1034))=>((setadjoin @ (setadjoin @ X1033 @ emptyset) @ (setadjoin @ (setadjoin @ X1033 @ (setadjoin @ X1034 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1033 @ emptyset) @ emptyset))))=>(![X1035:$i, X1036:$i, X1037:$i, X1038:$i]:((((setadjoin @ (setadjoin @ X1035 @ emptyset) @ (setadjoin @ (setadjoin @ X1035 @ (setadjoin @ X1036 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1037 @ emptyset) @ (setadjoin @ (setadjoin @ X1037 @ (setadjoin @ X1038 @ emptyset)) @ emptyset)))=>(((X1037)=(X1038))=>((X1036)=(X1038)))))=>(![X1039:$i, X1040:$i, X1041:$i]:((((setadjoin @ X1039 @ (setadjoin @ X1040 @ emptyset))=(setadjoin @ X1041 @ emptyset))=>((X1039)=(X1040))))=>(![X1335:$i, X1336:$i, X1337:$i, X1338:$i]:((((setadjoin @ (setadjoin @ X1335 @ emptyset) @ (setadjoin @ (setadjoin @ X1335 @ (setadjoin @ X1336 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1337 @ emptyset) @ (setadjoin @ (setadjoin @ X1337 @ (setadjoin @ X1338 @ emptyset)) @ emptyset)))=>((X1336)=(X1338))))=>(![X1042:$i, X1043:$i, X1044:$i, X1045:$i]:((((kpair @ X1042 @ X1043)=(kpair @ X1044 @ X1045))=>((X1043)=(X1045))))=>(![X1046:$i]:(((iskpair @ X1046)=>(singleton @ (dsetconstr @ (setunion @ X1046) @ (^[Z0/* 3 */:$i]:(((X1046)=(kpair @ (kfst @ X1046) @ Z0))))))))=>(![X1333:$i, X1334:$i]:(((ksnd @ (kpair @ X1333 @ X1334))=(X1334)))=>(![X1332:$i]:(((iskpair @ X1332)=>((kpair @ (kfst @ X1332) @ (ksnd @ X1332))=(X1332))))=>(![X1047:$i, X1048:$i, X1049:$i]:(((in @ X1049 @ (cartprod @ X1047 @ X1048))=>(in @ (ksnd @ X1049) @ X1048)))=>(![X1328:$i, X1329:$i, X1330:$i, X1331:$i]:(((in @ (kpair @ X1330 @ X1331) @ (cartprod @ X1328 @ X1329))=>(in @ X1330 @ X1328)))=>(![X1324:$i, X1325:$i, X1326:$i, X1327:$i]:(((in @ (kpair @ X1326 @ X1327) @ (cartprod @ X1324 @ X1325))=>(in @ X1327 @ X1325)))=>(![X1050:$i, X1051:$i, X1052:$i]:(((in @ X1052 @ X1050)=>![X1053:$i]:(((in @ X1053 @ X1051)=>((kpair @ X1052 @ X1053)=(kpair @ X1052 @ X1053))))))=>(![X1054:$i, X1055:$i, X1056:$i]:(((in @ X1056 @ X1054)=>![X1057:$i]:(((in @ X1057 @ X1055)=>((kfst @ (kpair @ X1056 @ X1057))=(X1056))))))=>(![X1058:$i, X1059:$i, X1060:$i]:(((in @ X1060 @ X1058)=>![X1061:$i]:(((in @ X1061 @ X1059)=>((ksnd @ (kpair @ X1060 @ X1061))=(X1061))))))=>(![X1321:$i, X1322:$i, X1323:$i]:(((in @ X1323 @ (cartprod @ X1321 @ X1322))=>((kpair @ (kfst @ X1323) @ (ksnd @ X1323))=(X1323))))=>(![X1316:$i, X1317:$i, X1318:$i > $i > $o, X1319:$i]:(((in @ X1319 @ X1316)=>![X1320:$i]:(((in @ X1320 @ X1317)=>((X1318 @ X1319 @ X1320)=>(in @ (kpair @ X1319 @ X1320) @ (dpsetconstr @ X1316 @ X1317 @ X1318)))))))=>(![X1062:$i, X1063:$i, X1064:$i > $i > $o]:((subset @ (dpsetconstr @ X1062 @ X1063 @ X1064) @ (cartprod @ X1062 @ X1063)))=>(![X1313:$i, X1314:$i, X1315:$i > $i > $o]:((breln @ X1313 @ X1314 @ (dpsetconstr @ X1313 @ X1314 @ X1315)))=>(![X1065:$i, X1066:$i, X1067:$i > $i > $o, X1068:$i]:(((in @ X1068 @ X1065)=>![X1069:$i]:(((in @ X1069 @ X1066)=>((in @ (kpair @ X1068 @ X1069) @ (dpsetconstr @ X1065 @ X1066 @ X1067))=>(X1067 @ X1068 @ X1069))))))=>(![X1308:$i, X1309:$i, X1310:$i > $i > $o, X1311:$i, X1312:$i]:(((in @ (kpair @ X1311 @ X1312) @ (dpsetconstr @ X1308 @ X1309 @ X1310))=>(in @ X1311 @ X1308)))=>(![X1070:$i, X1071:$i, X1072:$i > $i > $o, X1073:$i, X1074:$i]:(((in @ (kpair @ X1073 @ X1074) @ (dpsetconstr @ X1070 @ X1071 @ X1072))=>(in @ X1074 @ X1071)))=>(![X1303:$i, X1304:$i, X1305:$i > $i > $o, X1306:$i, X1307:$i]:(((in @ (kpair @ X1306 @ X1307) @ (dpsetconstr @ X1303 @ X1304 @ X1305))=>(X1305 @ X1306 @ X1307)))=>(![X1299:$i, X1300:$i, X1301:$i]:(((func @ X1299 @ X1300 @ X1301)=>![X1302:$i]:(((in @ X1302 @ X1299)=>(singleton @ (dsetconstr @ X1300 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1302 @ Z0) @ X1301)))))))))=>(![X1075:$i, X1076:$i, X1077:$i]:(((func @ X1075 @ X1076 @ X1077)=>![X1078:$i]:(((in @ X1078 @ X1075)=>(in @ (setunion @ (dsetconstr @ X1076 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1078 @ Z0) @ X1077))))) @ X1076)))))=>(![X1295:$i, X1296:$i, X1297:$i]:(((func @ X1295 @ X1296 @ X1297)=>![X1298:$i]:(((in @ X1298 @ X1295)=>(in @ (ap @ X1295 @ X1296 @ X1297 @ X1298) @ X1296)))))=>(![X1292:$i, X1293:$i, X1294:$i]:(((in @ X1294 @ (funcSet @ X1292 @ X1293))=>(func @ X1292 @ X1293 @ X1294)))=>(![X1079:$i, X1080:$i, X1081:$i]:(((in @ X1081 @ (funcSet @ X1079 @ X1080))=>![X1082:$i]:(((in @ X1082 @ X1079)=>(in @ (ap @ X1079 @ X1080 @ X1081 @ X1082) @ X1080)))))=>(![X1289:$i, X1290:$i, X1291:$i]:(((func @ X1289 @ X1290 @ X1291)=>(in @ X1291 @ (funcSet @ X1289 @ X1290))))=>(![X1083:$i, X1084:$i, X1085:$i > $i]:((![X1086:$i]:(((in @ X1086 @ X1083)=>(in @ (X1085 @ X1086) @ X1084)))=>(func @ X1083 @ X1084 @ (dpsetconstr @ X1083 @ X1084 @ (^[Z0/* 3 */:$i]:($eq @ (X1085 @ Z0)))))))=>(![X1285:$i, X1286:$i, X1287:$i > $i]:((![X1288:$i]:(((in @ X1288 @ X1285)=>(in @ (X1287 @ X1288) @ X1286)))=>(func @ X1285 @ X1286 @ (lam @ X1285 @ X1286 @ X1287))))=>(![X1087:$i, X1088:$i, X1089:$i > $i]:((![X1090:$i]:(((in @ X1090 @ X1087)=>(in @ (X1089 @ X1090) @ X1088)))=>(in @ (lam @ X1087 @ X1088 @ X1089) @ (funcSet @ X1087 @ X1088))))=>(![X1278:$i, X1279:$i, X1280:$i]:(((breln @ X1278 @ X1279 @ X1280)=>![X1281:$i > $o]:((![X1282:$i]:(((in @ X1282 @ X1278)=>![X1283:$i]:(((in @ X1283 @ X1279)=>((in @ (kpair @ X1282 @ X1283) @ X1280)=>(X1281 @ (kpair @ X1282 @ X1283)))))))=>![X1284:$i]:(((in @ X1284 @ X1280)=>(X1281 @ X1284)))))))=>(![X1271:$i, X1272:$i, X1273:$i]:(((breln @ X1271 @ X1272 @ X1273)=>![X1274:$i > $o]:((![X1275:$i]:(((in @ X1275 @ X1271)=>![X1276:$i]:(((in @ X1276 @ X1272)=>((in @ (kpair @ X1275 @ X1276) @ X1273)=>(X1274 @ (kpair @ X1275 @ X1276)))))))=>![X1277:$i]:(((in @ X1277 @ X1273)=>(X1274 @ X1277)))))))=>(![X1091:$i, X1092:$i > $o]:(((ex1 @ X1091 @ X1092)=>![X1093:$i]:(((in @ X1093 @ X1091)=>![X1094:$i]:(((in @ X1094 @ X1091)=>((X1092 @ X1093)=>((X1092 @ X1094)=>((X1093)=(X1094))))))))))=>(![X1095:$i, X1096:$i, X1097:$i]:(((func @ X1095 @ X1096 @ X1097)=>![X1098:$i]:(((in @ X1098 @ X1095)=>(in @ (kpair @ X1098 @ (ap @ X1095 @ X1096 @ X1097 @ X1098)) @ X1097)))))=>(![X1267:$i, X1268:$i, X1269:$i]:(((in @ X1269 @ (funcSet @ X1267 @ X1268))=>![X1270:$i]:(((in @ X1270 @ X1267)=>(in @ (kpair @ X1270 @ (ap @ X1267 @ X1268 @ X1269 @ X1270)) @ X1269)))))=>(![X1099:$i, X1100:$i, X1101:$i]:(((func @ X1099 @ X1100 @ X1101)=>![X1102:$i]:(((in @ X1102 @ X1099)=>![X1103:$i]:(((in @ X1103 @ X1100)=>((in @ (kpair @ X1102 @ X1103) @ X1101)=>((ap @ X1099 @ X1100 @ X1101 @ X1102)=(X1103)))))))))=>(![X1104:$i, X1105:$i, X1106:$i]:(((func @ X1104 @ X1105 @ X1106)=>![X1107:$i]:(((func @ X1104 @ X1105 @ X1107)=>(![X1108:$i]:(((in @ X1108 @ X1104)=>((ap @ X1104 @ X1105 @ X1106 @ X1108)=(ap @ X1104 @ X1105 @ X1107 @ X1108))))=>![X1109:$i]:(((in @ X1109 @ X1104)=>![X1110:$i]:(((in @ X1110 @ X1105)=>((in @ (kpair @ X1109 @ X1110) @ X1107)=>(in @ (kpair @ X1109 @ X1110) @ X1106)))))))))))=>(![X1262:$i, X1263:$i, X1264:$i]:(((in @ X1264 @ (funcSet @ X1262 @ X1263))=>![X1265:$i]:(((in @ X1265 @ X1262)=>![X1266:$i]:(((in @ X1266 @ X1263)=>((in @ (kpair @ X1265 @ X1266) @ X1264)=>((ap @ X1262 @ X1263 @ X1264 @ X1265)=(X1266)))))))))=>(![X1111:$i, X1112:$i, X1113:$i]:(((breln @ X1111 @ X1112 @ X1113)=>![X1114:$i]:(((breln @ X1111 @ X1112 @ X1114)=>(![X1115:$i]:(((in @ X1115 @ X1111)=>![X1116:$i]:(((in @ X1116 @ X1112)=>((in @ (kpair @ X1115 @ X1116) @ X1113)=>(in @ (kpair @ X1115 @ X1116) @ X1114))))))=>(subset @ X1113 @ X1114))))))=>(![X1254:$i, X1255:$i, X1256:$i]:(((breln @ X1254 @ X1255 @ X1256)=>![X1257:$i]:(((breln @ X1254 @ X1255 @ X1257)=>(![X1258:$i]:(((in @ X1258 @ X1254)=>![X1259:$i]:(((in @ X1259 @ X1255)=>((in @ (kpair @ X1258 @ X1259) @ X1256)=>(in @ (kpair @ X1258 @ X1259) @ X1257))))))=>(![X1260:$i]:(((in @ X1260 @ X1254)=>![X1261:$i]:(((in @ X1261 @ X1255)=>((in @ (kpair @ X1260 @ X1261) @ X1257)=>(in @ (kpair @ X1260 @ X1261) @ X1256))))))=>((X1256)=(X1257))))))))=>(![X1249:$i, X1250:$i, X1251:$i]:(((func @ X1249 @ X1250 @ X1251)=>![X1252:$i]:(((func @ X1249 @ X1250 @ X1252)=>(![X1253:$i]:(((in @ X1253 @ X1249)=>((ap @ X1249 @ X1250 @ X1251 @ X1253)=(ap @ X1249 @ X1250 @ X1252 @ X1253))))=>((X1251)=(X1252)))))))=>(![X1244:$i, X1245:$i, X1246:$i]:(((in @ X1246 @ (funcSet @ X1244 @ X1245))=>![X1247:$i]:(((in @ X1247 @ (funcSet @ X1244 @ X1245))=>(![X1248:$i]:(((in @ X1248 @ X1244)=>((ap @ X1244 @ X1245 @ X1246 @ X1248)=(ap @ X1244 @ X1245 @ X1247 @ X1248))))=>((X1246)=(X1247)))))))=>(![X1240:$i, X1241:$i, X1242:$i]:(((in @ X1242 @ (funcSet @ X1240 @ X1241))=>![X1243:$i]:(((in @ X1243 @ X1240)=>((ap @ X1240 @ X1241 @ X1242 @ X1243)=(ap @ X1240 @ X1241 @ X1242 @ X1243))))))=>(![X1117:$i, X1118:$i, X1119:$i]:(((func @ X1117 @ X1118 @ X1119)=>![X1120:$i]:(((in @ X1120 @ X1117)=>((ap @ X1117 @ X1118 @ X1119 @ X1120)=(ap @ X1117 @ X1118 @ X1119 @ X1120))))))=>(![X1235:$i, X1236:$i, X1237:$i > $i]:((![X1238:$i]:(((in @ X1238 @ X1235)=>(in @ (X1237 @ X1238) @ X1236)))=>![X1239:$i]:(((in @ X1239 @ X1235)=>((ap @ X1235 @ X1236 @ (lam @ X1235 @ X1236 @ X1237) @ X1239)=(X1237 @ X1239))))))=>(![X1232:$i, X1233:$i, X1234:$i]:(((func @ X1232 @ X1233 @ X1234)=>((lam @ X1232 @ X1233 @ (ap @ X1232 @ X1233 @ X1234))=(X1234))))=>(![X1228:$i, X1229:$i, X1230:$i > $i]:((![X1231:$i]:(((in @ X1231 @ X1228)=>(in @ (X1230 @ X1231) @ X1229)))=>((lam @ X1228 @ X1229 @ X1230)=(lam @ X1228 @ X1229 @ X1230))))=>(![X1223:$i, X1224:$i, X1225:$i > $i]:((![X1226:$i]:(((in @ X1226 @ X1223)=>(in @ (X1225 @ X1226) @ X1224)))=>![X1227:$i]:(((in @ X1227 @ X1223)=>((ap @ X1223 @ X1224 @ (lam @ X1223 @ X1224 @ X1225) @ X1227)=(X1225 @ X1227))))))=>(![X1121:$i, X1122:$i, X1123:$i]:(((in @ X1123 @ (funcSet @ X1121 @ X1122))=>((lam @ X1121 @ X1122 @ (ap @ X1121 @ X1122 @ X1123))=(X1123))))=>(![X1124:$i, X1125:$o, X1126:$i]:(((in @ X1126 @ X1124)=>![X1127:$i]:(((in @ X1127 @ X1124)=>(~(X1125)=>(in @ X1127 @ (dsetconstr @ X1124 @ (^[Z0/* 9 */:$i]:((((X1125)&((Z0)=(X1126)))|(~((X1125))&((Z0)=(X1127)))))))))))))=>(![X1128:$i, X1129:$o, X1130:$i]:(((in @ X1130 @ X1128)=>![X1131:$i]:(((in @ X1131 @ X1128)=>(~(X1129)=>((dsetconstr @ X1128 @ (^[Z0/* 9 */:$i]:((((X1129)&((Z0)=(X1130)))|(~((X1129))&((Z0)=(X1131)))))))=(setadjoin @ X1131 @ emptyset)))))))=>(![X1132:$i, X1133:$o, X1134:$i]:(((in @ X1134 @ X1132)=>![X1135:$i]:(((in @ X1135 @ X1132)=>((X1133)=>(in @ X1134 @ (dsetconstr @ X1132 @ (^[Z0/* 9 */:$i]:((((X1133)&((Z0)=(X1134)))|(~((X1133))&((Z0)=(X1135)))))))))))))=>(![X1219:$i, X1220:$o, X1221:$i]:(((in @ X1221 @ X1219)=>![X1222:$i]:(((in @ X1222 @ X1219)=>((X1220)=>((dsetconstr @ X1219 @ (^[Z0/* 9 */:$i]:((((X1220)&((Z0)=(X1221)))|(~((X1220))&((Z0)=(X1222)))))))=(setadjoin @ X1221 @ emptyset)))))))=>(![X1136:$i, X1137:$o, X1138:$i]:(((in @ X1138 @ X1136)=>![X1139:$i]:(((in @ X1139 @ X1136)=>(singleton @ (dsetconstr @ X1136 @ (^[Z0/* 9 */:$i]:((((X1137)&((Z0)=(X1138)))|(~((X1137))&((Z0)=(X1139))))))))))))=>(![X1140:$i, X1141:$o, X1142:$i]:(((in @ X1142 @ X1140)=>![X1143:$i]:(((in @ X1143 @ X1140)=>(in @ (if @ X1140 @ ((X1141)) @ X1142 @ X1143) @ X1140)))))=>(![X1217:$i]:(((singleton @ X1217)=>![X1218:$i]:(((in @ X1218 @ X1217)=>((setunion @ X1217)=(X1218))))))=>(![X1213:$i, X1214:$o, X1215:$i]:(((in @ X1215 @ X1213)=>![X1216:$i]:(((in @ X1216 @ X1213)=>((X1214)=>((if @ X1213 @ ((X1214)) @ X1215 @ X1216)=(X1215)))))))=>(![X1209:$i, X1210:$o, X1211:$i]:(((in @ X1211 @ X1209)=>![X1212:$i]:(((in @ X1212 @ X1209)=>(~(X1210)=>((if @ X1209 @ ((X1210)) @ X1211 @ X1212)=(X1212)))))))=>(![X1205:$i, X1206:$o, X1207:$i]:(((in @ X1207 @ X1205)=>![X1208:$i]:(((in @ X1208 @ X1205)=>(in @ (if @ X1205 @ ((X1206)) @ X1207 @ X1208) @ (setadjoin @ X1207 @ (setadjoin @ X1208 @ emptyset)))))))=>(![X1202:$i, X1203:$i]:(((in @ X1203 @ (powerset @ X1202))=>![X1204:$i]:(((in @ X1204 @ (powerset @ X1202))=>(in @ (binintersect @ X1203 @ X1204) @ (powerset @ X1202))))))=>(![X1144:$i, X1145:$i]:(((in @ X1145 @ (powerset @ X1144))=>![X1146:$i]:(((in @ X1146 @ (powerset @ X1144))=>(in @ (binunion @ X1145 @ X1146) @ (powerset @ X1144))))))=>(![X1200:$i, X1201:$i]:(((in @ X1201 @ (powerset @ X1200))=>(in @ (powerset @ X1201) @ (powerset @ (powerset @ X1200)))))=>(![X1147:$i, X1148:$i]:(((in @ X1148 @ (powerset @ X1147))=>![X1149:$i]:(((in @ X1149 @ (powerset @ X1147))=>(in @ (setminus @ X1148 @ X1149) @ (powerset @ X1147))))))=>(![X1150:$i, X1151:$i]:(((in @ X1151 @ (powerset @ X1150))=>(in @ (setminus @ X1150 @ X1151) @ (powerset @ X1150))))=>(![X1152:$i, X1153:$i]:(((in @ X1153 @ (powerset @ X1152))=>![X1154:$i]:(((in @ X1154 @ (powerset @ X1152))=>(![X1155:$i]:(((in @ X1155 @ X1152)=>((in @ X1155 @ X1153)=>(in @ X1155 @ X1154))))=>(![X1156:$i]:(((in @ X1156 @ X1152)=>((in @ X1156 @ X1154)=>(in @ X1156 @ X1153))))=>((X1153)=(X1154))))))))=>(![X1157:$i, X1158:$i]:(((in @ X1158 @ (powerset @ X1157))=>![X1159:$i]:(((in @ X1159 @ (powerset @ X1157))=>(![X1160:$i]:(((in @ X1160 @ X1157)=>((in @ X1160 @ X1158)=>(in @ X1160 @ X1159))))=>(subset @ X1158 @ X1159))))))=>(![X1161:$i, X1162:$i]:(((in @ X1162 @ (powerset @ X1161))=>![X1163:$i]:(((in @ X1163 @ (powerset @ X1161))=>(![X1164:$i]:(((in @ X1164 @ X1161)=>((in @ X1164 @ X1162)=>(in @ X1164 @ X1163))))=>(in @ X1162 @ (powerset @ X1163)))))))=>(![X1165:$i, X1166:$i]:(((in @ X1166 @ (powerset @ X1165))=>![X1167:$i]:(((in @ X1167 @ (powerset @ X1165))=>![X1168:$i]:(((in @ X1168 @ X1165)=>((in @ X1166 @ (powerset @ X1167))=>((in @ X1168 @ X1166)=>(in @ X1168 @ X1167)))))))))=>(![X1169:$i, X1170:$i]:(((in @ X1170 @ (powerset @ X1169))=>![X1171:$i]:(((in @ X1171 @ X1169)=>((in @ X1171 @ X1170)=>~(in @ X1171 @ (setminus @ X1169 @ X1170)))))))=>(![X1197:$i, X1198:$i]:(((in @ X1198 @ (powerset @ X1197))=>![X1199:$i]:(((in @ X1199 @ X1197)=>(~(in @ X1199 @ (setminus @ X1197 @ X1198))=>(in @ X1199 @ X1198))))))=>(![X1172:$i, X1173:$i]:(((in @ X1173 @ (powerset @ X1172))=>![X1174:$i]:(((in @ X1174 @ (powerset @ X1172))=>![X1175:$i]:(((in @ X1175 @ X1172)=>(~(in @ X1175 @ X1173)=>~(in @ X1175 @ (binintersect @ X1173 @ X1174)))))))))=>(![X1193:$i, X1194:$i]:(((in @ X1194 @ (powerset @ X1193))=>![X1195:$i]:(((in @ X1195 @ (powerset @ X1193))=>![X1196:$i]:(((in @ X1196 @ X1193)=>(~(in @ X1196 @ X1195)=>~(in @ X1196 @ (binintersect @ X1194 @ X1195)))))))))=>(![X1189:$i, X1190:$i]:(((in @ X1190 @ (powerset @ X1189))=>![X1191:$i]:(((in @ X1191 @ (powerset @ X1189))=>![X1192:$i]:(((in @ X1192 @ X1189)=>((subset @ X1190 @ (setminus @ X1189 @ X1191))=>((in @ X1192 @ X1191)=>~(in @ X1192 @ X1190)))))))))=>(![X1176:$i, X1177:$i]:(((in @ X1177 @ (powerset @ X1176))=>![X1178:$i]:(((in @ X1178 @ (powerset @ X1176))=>![X1179:$i]:(((in @ X1179 @ X1176)=>((subset @ X1177 @ X1178)=>(~(in @ X1179 @ X1178)=>~(in @ X1179 @ X1177)))))))))=>(![X1186:$i, X1187:$i]:(((in @ X1187 @ (powerset @ X1186))=>![X1188:$i]:(((in @ X1188 @ (powerset @ X1186))=>((subset @ X1187 @ X1188)=>(subset @ (setminus @ X1186 @ X1188) @ (setminus @ X1186 @ X1187)))))))=>(![X1180:$i, X1181:$i]:(((in @ X1181 @ (powerset @ X1180))=>![X1182:$i]:(((in @ X1182 @ (powerset @ X1180))=>((subset @ (setminus @ X1180 @ X1182) @ (setminus @ X1180 @ X1181))=>(subset @ X1181 @ X1182))))))=>(![X1183:$i, X1184:$i]:(((in @ X1184 @ (powerset @ X1183))=>![X1185:$i]:(((in @ X1185 @ X1183)=>((in @ X1185 @ X1184)=>(in @ X1185 @ (setminus @ X1183 @ (setminus @ X1183 @ X1184))))))))=>![X4:$i, X21:$i]:(((in @ X21 @ (powerset @ X4))=>![X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (setminus @ X4 @ (setminus @ X4 @ X21)))=>(in @ X2 @ X21))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[doubleComplementE1]), symdiffE]), setextAx]), setadjoinSub2]), binintersectI]), subsetRefl]), notequalI2]), notequalI1]), setminusI]), subsetE2]), subsetE]), setminusER]), eqimpsubset2]), subsetI1]), c_0_244]), setminusSubset2]), powerset__Cong]), setadjoin__Cong]), setminusILneg]), c_0_245]), inCongP]), quantDeMorgan3]), setminusLsub]), quantDeMorgan2]), binintersectER]), vacuousDall]), upairsetIR]), setminusSubset1]), upairsetIL]), upairsetE]), eqinunit]), subPowSU]), setunionE]), emptyInPowerset]), symdiffI1]), emptyinPowerset]), powersetI]), setadjoinE]), disjointsetsI1]), setadjoinIL]), setukpairIL]), nonemptyI1]), c_0_246]), kpairiskpair]), c_0_247]), emptyI]), setext]), singletoninpowerset]), emptysetimpfalse]), emptysetE]), upairsubunion]), prop2setE]), c_0_248]), c_0_249]), upairinpowunion]), c_0_250]), c_0_251]), cartprodmempair]), omegaSAx]), omega0Ax]), setunionAx]), setunionsingleton2]), setadjoinAx]), emptysetAx]), setunionsingleton]), c_0_252]), c_0_253]), c_0_254]), theprop]), setukpairinjL2]), setukpairinjR11]), setextT]), subsetTI]), powersetTI1]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR]), c_0_255]), cartprodsndin]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), binintersectSubset1]), c_0_256]), bs114d]), c_0_257]), c_0_258]), c_0_259]), ap2p]), c_0_260]), c_0_261]), c_0_262]), funcGraphProp1]), funcGraphProp2]), funcextLem]), subbreln]), ap2apEq2]), c_0_263]), c_0_264]), c_0_265]), c_0_266]), c_0_267]), ifp]), binunionT_lem]), setminusT_lem]), complementT_lem]), powersetTE1]), complementTI1]), binintersectTELcontra]), contrasubsetT1]), contrasubsetT3]), doubleComplementI1]), contrasubsetT2]), contrasubsetT]), binintersectTERcontra]), complementTE1]), powersetT_lem]), binintersectT_lem]), iftrueorfalse]), iffalse]), iftrue]), theeq]), c_0_268]), c_0_269]), c_0_270]), c_0_271]), c_0_272]), ap2apEq1]), funcext2]), funcext]), eqbreln]), funcGraphProp4]), funcGraphProp3]), brelnall2]), brelnall1]), c_0_273]), funcinfuncset]), infuncsetfunc]), app]), c_0_274]), c_0_275]), c_0_276]), c_0_277]), c_0_278]), cartprodpairsurjEq]), cartprodpairmemER]), cartprodpairmemEL]), kpairsurjEq]), ksndpairEq]), setukpairinjR2]), setukpairinjL]), cartprodfstin]), kfstpairEq]), c_0_279]), setukpairinjL1]), singletonsuniq]), c_0_280]), setunionsingleton1]), setunionE2]), cartprodmempair1]), cartprodpairin]), ubforcartprodlem3]), ubforcartprodlem2]), ubforcartprodlem1]), upairset2E]), singletoninpowunion]), singletonsubset]), kpairp]), setukpairIR]), secondinupair]), symdiffIneg2]), symdiffIneg1]), symdiffI2]), setminusIRneg]), setminusELneg]), setminusERneg]), setminusEL]), binintersectSubset4]), binintersectRsub]), binintersectSubset3]), binintersectSubset2]), binintersectLsub]), binintersectEL]), binintersectSubset5]), binunionEcases]), binunionIR]), upairset2IR]), c_0_281]), c_0_282]), subsetemptysetimpeq]), setextsub]), binunionRsub]), binunionLsub]), binunionE]), binunionIL]), powersetsubset]), inPowerset]), powersetE1]), powersetI1]), subset2powerset]), setadjoinSub]), subsetTrans]), notsubsetI]), emptysetsubset]), subsetI2]), eqimpsubset1]), c_0_283]), c_0_284]), omega__Cong]), setunion__Cong]), emptyset__Cong]), c_0_285]), in__Cong]), c_0_286]), c_0_287]), c_0_288]), notdallE]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan1]), c_0_289]), singletonsswitch]), notinsingleton]), uniqinunit]), nonemptyImpWitness]), c_0_290]), setunionI]), powersetE]), c_0_291]), setadjoinOr]), setadjoinIR]), emptyinunitempty]), nonemptyE1]), noeltsimpempty]), c_0_292]), notinemptyset]), c_0_293]), wellorderingAx]), foundationAx]), c_0_294]), omegaIndAx]), powersetAx])])]), c_0_295])).
1.05/0.89	thf(c_0_297, negated_conjecture, ![X1564:$i, X1565:$i, X1567:$i, X1568:$i, X1569:$i, X1570:$i, X1571:$i, X1572:$i, X1573:$i, X1574:$i, X1575:$i, X1577:$i, X1578:$i, X1580:$i, X1581:$i, X1582:$i, X1583:$i, X1584:$i, X1586:$i, X1587:$i > $i > $o, X1588:$i, X1591:$i, X1593:$i, X1594:$i, X1595:$i, X1596:$i, X1598:$i, X1599:$i > $o, X1600:$i, X1601:$i > $o, X1602:$i, X1603:$i, X1604:$i > $o, X1605:$i, X1606:$i, X1607:$i > $o, X1608:$i, X1609:$i > $o, X1611:$i, X1612:$o, X1613:$i, X1614:$i, X1615:$o, X1616:$i, X1617:$i, X1618:$i > $o, X1620:$i, X1621:$i, X1624:$i, X1626:$i, X1628:$i, X1629:$i > $o, X1630:$i, X1631:$i, X1633:$i, X1634:$i > $o, X1635:$i, X1636:$i, X1637:$i, X1638:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$i, X1644:$i, X1645:$i, X1646:$o, X1647:$i, X1648:$i, X1649:$i, X1650:$i, X1651:$i, X1652:$i, X1654:$i, X1655:$i, X1656:$i, X1657:$i, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$o, X1666:$i, X1667:$i, X1668:$i > $o, X1670:$i, X1671:$i, X1672:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i, X1679:$i, X1680:$i, X1681:$i, X1682:$i, X1683:$i, X1684:$i, X1685:$i, X1686:$i, X1687:$i, X1688:$i, X1689:$i, X1690:$i > $o, X1691:$i, X1692:$i > $o, X1693:$i, X1694:$i, X1695:$i > $o, X1696:$i, X1698:$i, X1699:$i > $o, X1701:$i, X1702:$i, X1703:$i > $o, X1705:$i, X1706:$i, X1707:$i > $o, X1708:$i, X1710:$o, X1711:$i, X1712:$i > $o, X1714:$i, X1715:$i, X1716:$i > $o, X1717:$i, X1719:$i > $o, X1720:$i, X1722:$i > $o, X1723:$i, X1726:$i > $o, X1727:$i, X1729:$i, X1730:$i, X1731:$i, X1732:$i, X1733:$i, X1734:$i, X1735:$i, X1736:$i, X1737:$i > $o, X1738:$i, X1739:$i, X1740:$i > $o, X1741:$i > $o, X1744:$i, X1745:$i, X1746:$i, X1747:$i, X1748:$i, X1749:$i, X1750:$i, X1751:$i, X1752:$i > $o, X1753:$i, X1754:$i, X1755:$i > $o, X1756:$i > $o, X1759:$i, X1760:$i, X1761:$i > $o, X1762:$i > $o, X1765:$i, X1766:$i, X1768:$i, X1769:$i, X1770:$i, X1771:$i, X1772:$i, X1773:$i, X1775:$i, X1776:$i, X1777:$i, X1778:$i, X1779:$i, X1780:$i, X1781:$i, X1782:$i, X1783:$i, X1784:$i, X1785:$i, X1786:$i, X1787:$i, X1788:$i, X1789:$i, X1790:$i, X1791:$i, X1792:$i, X1793:$i, X1794:$i, X1795:$i, X1796:$i, X1797:$i, X1798:$i, X1799:$i, X1800:$i, X1801:$i, X1802:$i, X1803:$i, X1804:$i, X1805:$i, X1806:$i, X1807:$i, X1808:$i, X1809:$i, X1810:$i, X1811:$i, X1812:$i > $o, X1813:$i, X1814:$i > $o, X1815:$i, X1816:$i, X1817:$i, X1818:$i, X1819:$i, X1820:$i, X1821:$i, X1822:$i, X1823:$i, X1824:$i, X1825:$i, X1826:$o, X1827:$i, X1828:$i, X1829:$i, X1830:$i, X1831:$i, X1832:$i, X1833:$i, X1834:$i, X1835:$i, X1836:$i, X1837:$i, X1838:$i, X1839:$i, X1840:$i, X1841:$i, X1842:$i, X1843:$i, X1844:$i, X1845:$i, X1846:$i, X1847:$i, X1848:$i, X1849:$i, X1850:$i, X1851:$i, X1852:$i, X1853:$i, X1855:$i, X1856:$i, X1857:$i, X1858:$i, X1859:$i, X1860:$i, X1861:$i, X1862:$i, X1863:$i, X1864:$i, X1865:$i, X1866:$i, X1867:$i, X1868:$i, X1869:$i, X1870:$i, X1871:$i, X1872:$i, X1873:$i, X1874:$i, X1875:$i, X1876:$i, X1877:$i, X1878:$i, X1879:$i, X1880:$i, X1881:$i, X1882:$i, X1883:$i, X1884:$i, X1885:$i, X1886:$i, X1887:$i, X1888:$i, X1889:$i, X1890:$i, X1891:$i, X1892:$i, X1893:$i, X1894:$o, X1895:$i, X1896:$i, X1897:$i, X1898:$i, X1899:$i, X1900:$i, X1901:$i, X1902:$i, X1903:$i, X1904:$i, X1905:$i, X1906:$i, X1907:$i, X1908:$i, X1909:$i, X1910:$i, X1911:$i, X1912:$i, X1913:$i, X1914:$i, X1915:$i, X1916:$i, X1917:$i, X1918:$i, X1919:$i, X1920:$i, X1921:$i, X1922:$i, X1923:$i, X1924:$i, X1925:$i, X1926:$i, X1927:$i, X1928:$i, X1929:$i, X1930:$i, X1931:$i, X1932:$i, X1933:$i, X1934:$i, X1935:$i, X1936:$i, X1937:$i, X1938:$i, X1939:$i, X1940:$i, X1941:$i, X1942:$i, X1943:$i, X1944:$i, X1945:$i, X1946:$i, X1947:$i, X1948:$i, X1949:$i, X1950:$i, X1951:$i, X1952:$i, X1953:$i, X1956:$i, X1957:$i, X1958:$i, X1959:$i, X1960:$i, X1962:$i, X1963:$i, X1964:$i, X1965:$i, X1966:$i > $o, X1969:$i, X1970:$i, X1971:$i > $o, X1973:$i, X1974:$i > $o, X1975:$i, X1977:$i, X1978:$i > $o, X1981:$i, X1982:$i, X1983:$i, X1984:$i, X1985:$i, X1986:$i, X1987:$i, X1988:$i, X1989:$i, X1990:$i, X1991:$i, X1992:$i, X1993:$i, X1994:$i, X1995:$i, X1996:$i, X1997:$i, X1998:$i, X1999:$i, X2000:$i, X2001:$i, X2002:$i, X2003:$i, X2004:$i, X2005:$i, X2006:$i, X2007:$i, X2008:$i, X2009:$i, X2010:$i, X2011:$i, X2012:$i, X2013:$i, X2014:$i, X2015:$i, X2016:$i, X2017:$i, X2018:$i, X2019:$i, X2020:$i, X2021:$i, X2022:$i, X2023:$i, X2024:$i, X2025:$i, X2026:$i, X2027:$i, X2028:$i, X2029:$i, X2030:$i, X2031:$i, X2032:$i, X2033:$i, X2034:$i, X2035:$i, X2036:$i, X2037:$i, X2038:$i, X2039:$i, X2040:$i, X2041:$i, X2042:$i, X2043:$i, X2044:$i, X2045:$i, X2046:$i, X2047:$i, X2048:$i, X2049:$i, X2050:$i, X2051:$i, X2052:$i, X2053:$i > $i > $o, X2054:$i, X2055:$i, X2056:$i, X2057:$i, X2058:$i > $i > $o, X2059:$i, X2060:$i, X2061:$i > $i > $o, X2062:$i, X2063:$i, X2064:$i > $i > $o, X2065:$i, X2066:$i, X2067:$i, X2068:$i, X2069:$i > $i > $o, X2070:$i, X2071:$i, X2072:$i, X2073:$i, X2074:$i > $i > $o, X2075:$i, X2076:$i, X2077:$i, X2078:$i, X2079:$i > $i > $o, X2080:$i, X2081:$i, X2082:$i, X2083:$i, X2084:$i, X2085:$i, X2086:$i, X2087:$i, X2088:$i, X2089:$i, X2090:$i, X2091:$i, X2092:$i, X2093:$i, X2094:$i, X2095:$i, X2096:$i, X2097:$i, X2098:$i, X2099:$i, X2100:$i, X2101:$i, X2102:$i, X2103:$i, X2104:$i, X2105:$i, X2106:$i > $i, X2108:$i, X2109:$i, X2110:$i > $i, X2112:$i, X2113:$i, X2114:$i > $i, X2116:$i, X2117:$i, X2118:$i, X2119:$i > $o, X2122:$i, X2123:$i, X2124:$i, X2125:$i, X2126:$i > $o, X2129:$i, X2130:$i, X2131:$i > $o, X2132:$i, X2133:$i, X2134:$i, X2135:$i, X2136:$i, X2137:$i, X2138:$i, X2139:$i, X2140:$i, X2141:$i, X2142:$i, X2143:$i, X2144:$i, X2145:$i, X2146:$i, X2147:$i, X2148:$i, X2149:$i, X2150:$i, X2152:$i, X2153:$i, X2154:$i, X2155:$i, X2156:$i, X2157:$i, X2158:$i, X2159:$i, X2160:$i, X2161:$i, X2162:$i, X2165:$i, X2166:$i, X2167:$i, X2168:$i, X2173:$i, X2174:$i, X2175:$i, X2176:$i, X2178:$i, X2179:$i, X2180:$i, X2181:$i, X2183:$i, X2184:$i, X2185:$i, X2186:$i, X2187:$i, X2188:$i, X2189:$i, X2190:$i, X2191:$i, X2192:$i, X2193:$i > $i, X2195:$i, X2196:$i, X2197:$i, X2198:$i, X2199:$i, X2200:$i, X2201:$i > $i, X2203:$i, X2204:$i, X2205:$i > $i, X2207:$i, X2208:$i, X2209:$i, X2210:$i, X2211:$i, X2212:$o, X2213:$i, X2214:$i, X2215:$i, X2216:$o, X2217:$i, X2218:$i, X2219:$i, X2220:$o, X2221:$i, X2222:$i, X2223:$i, X2224:$o, X2225:$i, X2226:$i, X2227:$i, X2228:$o, X2229:$i, X2230:$i, X2231:$i, X2232:$o, X2233:$i, X2234:$i, X2235:$i, X2236:$i, X2237:$i, X2238:$o, X2239:$i, X2240:$i, X2241:$i, X2242:$o, X2243:$i, X2244:$i, X2245:$i, X2246:$o, X2247:$i, X2248:$i, X2249:$i, X2250:$i, X2251:$i, X2252:$i, X2253:$i, X2254:$i, X2255:$i, X2256:$i, X2257:$i, X2258:$i, X2259:$i, X2260:$i, X2261:$i, X2262:$i, X2263:$i, X2264:$i, X2267:$i, X2268:$i, X2269:$i, X2271:$i, X2272:$i, X2273:$i, X2275:$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:$i, X2299:$i, X2300:$i, X2301:$i, X2302:$i, X2303:$i, X2304:$i, X2305:$i, X2306:$i, X2307:$i, X2308:$i, X2309:$i]:((((~(in @ (esk1_2 @ X1564 @ X1565) @ X1564)|~(in @ (esk1_2 @ X1564 @ X1565) @ X1565)|((X1564)=(X1565)))&((in @ (esk1_2 @ X1564 @ X1565) @ X1564)|(in @ (esk1_2 @ X1564 @ X1565) @ X1565)|((X1564)=(X1565))))&(~(in @ X1567 @ emptyset)&(((~(in @ X1570 @ (setadjoin @ X1568 @ X1569))|(((X1570)=(X1568))|(in @ X1570 @ X1569)))&((((X1570)!=(X1568))|(in @ X1570 @ (setadjoin @ X1568 @ X1569)))&(~(in @ X1570 @ X1569)|(in @ X1570 @ (setadjoin @ X1568 @ X1569)))))&(((~(in @ X1572 @ (powerset @ X1571))|(~(in @ X1573 @ X1572)|(in @ X1573 @ X1571)))&(((in @ (esk2_2 @ X1574 @ X1575) @ X1575)|(in @ X1575 @ (powerset @ X1574)))&(~(in @ (esk2_2 @ X1574 @ X1575) @ X1574)|(in @ X1575 @ (powerset @ X1574)))))&(((((in @ X1578 @ (esk3_2 @ X1577 @ X1578))|~(in @ X1578 @ (setunion @ X1577)))&((in @ (esk3_2 @ X1577 @ X1578) @ X1577)|~(in @ X1578 @ (setunion @ X1577))))&(~(in @ X1581 @ X1582)|~(in @ X1582 @ X1580)|(in @ X1581 @ (setunion @ X1580))))&((in @ emptyset @ omega)&((~(in @ X1583 @ omega)|(in @ (setadjoin @ X1583 @ X1583) @ omega))&(((((in @ (esk4_1 @ X1584) @ omega)|~(in @ emptyset @ X1584)|(~(in @ X1586 @ omega)|(in @ X1586 @ X1584)))&((in @ (esk4_1 @ X1584) @ X1584)|~(in @ emptyset @ X1584)|(~(in @ X1586 @ omega)|(in @ X1586 @ X1584))))&(~(in @ (setadjoin @ (esk4_1 @ X1584) @ (esk4_1 @ X1584)) @ X1584)|~(in @ emptyset @ X1584)|(~(in @ X1586 @ omega)|(in @ X1586 @ X1584))))&((((((in @ (esk7_3 @ X1587 @ X1588 @ X1591) @ X1588)|~(in @ X1591 @ (esk6_2 @ X1587 @ X1588))|(in @ (esk5_2 @ X1587 @ X1588) @ X1588))&((X1587 @ (esk7_3 @ X1587 @ X1588 @ X1591) @ X1591)|~(in @ X1591 @ (esk6_2 @ X1587 @ X1588))|(in @ (esk5_2 @ X1587 @ X1588) @ X1588)))&(~(in @ X1594 @ X1588)|~(X1587 @ X1594 @ X1593)|(in @ X1593 @ (esk6_2 @ X1587 @ X1588))|(in @ (esk5_2 @ X1587 @ X1588) @ X1588)))&((((in @ (esk7_3 @ X1587 @ X1588 @ X1591) @ X1588)|~(in @ X1591 @ (esk6_2 @ X1587 @ X1588))|~(exu @ (X1587 @ (esk5_2 @ X1587 @ X1588))))&((X1587 @ (esk7_3 @ X1587 @ X1588 @ X1591) @ X1591)|~(in @ X1591 @ (esk6_2 @ X1587 @ X1588))|~(exu @ (X1587 @ (esk5_2 @ X1587 @ X1588)))))&(~(in @ X1594 @ X1588)|~(X1587 @ X1594 @ X1593)|(in @ X1593 @ (esk6_2 @ X1587 @ X1588))|~(exu @ (X1587 @ (esk5_2 @ X1587 @ X1588))))))&((((in @ (esk8_1 @ X1595) @ X1595)|~(in @ X1596 @ X1595))&(~(in @ X1598 @ (esk8_1 @ X1595))|~(in @ X1598 @ X1595)|~(in @ X1596 @ X1595)))&((epred1_0)&((~(exu @ X1599)|(X1599 @ (descr @ X1599)))&((~(in @ X1602 @ X1600)|(~(X1601 @ X1602)|(in @ X1602 @ (dsetconstr @ X1600 @ X1601))))&((~(in @ X1605 @ (dsetconstr @ X1603 @ X1604))|(in @ X1605 @ X1603))&((~(in @ X1608 @ (dsetconstr @ X1606 @ X1607))|(X1607 @ X1608))&((((X1609 @ (esk9_1 @ X1609))|~(exu @ X1609))&(~(X1609 @ X1611)|((esk9_1 @ X1609)=(X1611))|~(exu @ X1609)))&((~(in @ X1613 @ (prop2set @ ((X1612))))|(X1612))&((~(in @ X1614 @ emptyset)|(X1615))&((~(in @ X1616 @ emptyset)|~($true))&(~(in @ X1617 @ emptyset)&((~(exu @ X1618)|(X1618 @ (esk10_1 @ X1618)))&(((((in @ (esk12_2 @ X1620 @ X1621) @ X1621)|((X1620)=(X1621))|(in @ (esk11_2 @ X1620 @ X1621) @ X1620))&(~(in @ (esk12_2 @ X1620 @ X1621) @ X1620)|((X1620)=(X1621))|(in @ (esk11_2 @ X1620 @ X1621) @ X1620)))&(((in @ (esk12_2 @ X1620 @ X1621) @ X1621)|((X1620)=(X1621))|~(in @ (esk11_2 @ X1620 @ X1621) @ X1621))&(~(in @ (esk12_2 @ X1620 @ X1621) @ X1620)|((X1620)=(X1621))|~(in @ (esk11_2 @ X1620 @ X1621) @ X1621))))&(((in @ (esk13_1 @ X1624) @ X1624)|((X1624)=(emptyset)))&(((in @ (esk14_1 @ X1626) @ X1626)|((X1626)=(emptyset)))&(((~(in @ X1630 @ (dsetconstr @ X1628 @ X1629))|(X1629 @ X1630)|~(in @ X1630 @ X1628))&(~(X1629 @ X1630)|(in @ X1630 @ (dsetconstr @ X1628 @ X1629))|~(in @ X1630 @ X1628)))&((~(nonempty @ X1631)|(in @ (esk15_1 @ X1631) @ X1631))&((~(in @ X1635 @ X1633)|(~(X1634 @ X1635)|(nonempty @ (dsetconstr @ X1633 @ X1634))))&((~(in @ X1637 @ X1636)|(nonempty @ X1636))&((in @ X1638 @ (setadjoin @ X1638 @ X1639))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1642 @ X1641)|(in @ X1642 @ (setadjoin @ X1640 @ X1641)))&(((((in @ X1645 @ X1644)|(X1646)|((X1645)=(X1643))|~(in @ X1645 @ (setadjoin @ X1643 @ X1644)))&(~(X1646)|(X1646)|((X1645)=(X1643))|~(in @ X1645 @ (setadjoin @ X1643 @ X1644))))&(((in @ X1645 @ X1644)|(X1646)|~(X1646)|~(in @ X1645 @ (setadjoin @ X1643 @ X1644)))&(~(X1646)|(X1646)|~(X1646)|~(in @ X1645 @ (setadjoin @ X1643 @ X1644)))))&((~(in @ X1649 @ (setadjoin @ X1647 @ X1648))|(((X1649)=(X1647))|(in @ X1649 @ X1648)))&(((dsetconstr @ X1650 @ (^[Z0/* 1 */:$i]:($true)))=(X1650))&((((in @ (esk16_2 @ X1651 @ X1652) @ X1652)|(in @ X1652 @ (powerset @ X1651)))&(~(in @ (esk16_2 @ X1651 @ X1652) @ X1651)|(in @ X1652 @ (powerset @ X1651))))&((in @ emptyset @ (powerset @ X1654))&((in @ emptyset @ (powerset @ X1655))&((~(in @ X1657 @ (powerset @ X1656))|(~(in @ X1658 @ X1657)|(in @ X1658 @ X1656)))&((~(in @ X1660 @ X1661)|(~(in @ X1661 @ X1659)|(in @ X1660 @ (setunion @ X1659))))&((((in @ X1663 @ (esk17_3 @ X1662 @ X1663 @ X1664))|(X1664)|~(in @ X1663 @ (setunion @ X1662)))&(((in @ (esk17_3 @ X1662 @ X1663 @ X1664) @ X1662)|(X1664)|~(in @ X1663 @ (setunion @ X1662)))&(~(X1664)|(X1664)|~(in @ X1663 @ (setunion @ X1662)))))&((~(in @ X1667 @ X1666)|(in @ X1667 @ (powerset @ (setunion @ X1666))))&(((~(X1668 @ X1670)|((X1670)=(esk18_1 @ X1668))|~(exu @ X1668))&(((X1671)!=(esk18_1 @ X1668))|(X1668 @ X1671)|~(exu @ X1668)))&((((in @ (esk19_1 @ X1672) @ X1672)|~(nonempty @ X1672))&(($true)|~(nonempty @ X1672)))&((~(in @ X1674 @ (setadjoin @ X1675 @ emptyset))|((X1674)=(X1675)))&((((X1676)=(X1677))|~(in @ X1677 @ (setadjoin @ X1676 @ emptyset)))&((((X1678)!=(X1679))|(in @ X1678 @ (setadjoin @ X1679 @ emptyset)))&((~(in @ X1680 @ (setadjoin @ X1681 @ emptyset))|(in @ X1681 @ (setadjoin @ X1680 @ emptyset)))&((~(in @ X1684 @ (setadjoin @ X1682 @ (setadjoin @ X1683 @ emptyset)))|(((X1684)=(X1682))|((X1684)=(X1683))))&((in @ X1685 @ (setadjoin @ X1685 @ (setadjoin @ X1686 @ emptyset)))&((in @ X1688 @ (setadjoin @ X1687 @ (setadjoin @ X1688 @ emptyset)))&((~(in @ X1691 @ X1689)|~(X1690 @ X1691)|(((dsetconstr @ X1689 @ X1690)!=(emptyset))|~($true)))&((~(in @ X1693 @ emptyset)|(X1692 @ X1693))&((((in @ (esk20_2 @ X1694 @ X1695) @ X1694)|(~(in @ X1696 @ X1694)|(X1695 @ X1696)))&(~(X1695 @ (esk20_2 @ X1694 @ X1695))|(~(in @ X1696 @ X1694)|(X1695 @ X1696))))&((((in @ (esk21_2 @ X1698 @ X1699) @ X1698)|(~(in @ X1701 @ X1698)|~(X1699 @ X1701)))&((X1699 @ (esk21_2 @ X1698 @ X1699))|(~(in @ X1701 @ X1698)|~(X1699 @ X1701))))&((((in @ (esk22_2 @ X1702 @ X1703) @ X1702)|(~(in @ X1705 @ X1702)|~(X1703 @ X1705)))&((X1703 @ (esk22_2 @ X1702 @ X1703))|(~(in @ X1705 @ X1702)|~(X1703 @ X1705))))&((((in @ (esk23_2 @ X1706 @ X1707) @ X1706)|(~(in @ X1708 @ X1706)|(X1707 @ X1708)))&(~(X1707 @ (esk23_2 @ X1706 @ X1707))|(~(in @ X1708 @ X1706)|(X1707 @ X1708))))&((~(X1710)|(in @ emptyset @ (prop2set @ ((X1710)))))&((prop2set2propI)&((((in @ (esk24_2 @ X1711 @ X1712) @ X1711)|(~(in @ X1714 @ X1711)|~(X1712 @ X1714)))&((X1712 @ (esk24_2 @ X1711 @ X1712))|(~(in @ X1714 @ X1711)|~(X1712 @ X1714))))&((((in @ (esk25_2 @ X1715 @ X1716) @ X1715)|(~(in @ X1717 @ X1715)|(X1716 @ X1717)))&(~(X1716 @ (esk25_2 @ X1715 @ X1716))|(~(in @ X1717 @ X1715)|(X1716 @ X1717))))&((((X1719 @ (esk26_2 @ X1719 @ X1720))|~(X1719 @ X1720)|(exu @ X1719))&(((X1720)!=(esk26_2 @ X1719 @ X1720))|~(X1719 @ X1720)|(exu @ X1719)))&((((X1722 @ (esk27_1 @ X1722))|(exu @ X1722)|~(X1722 @ X1723))&(((X1722 @ (esk28_1 @ X1722))|(exu @ X1722)|~(X1722 @ X1723))&(((esk27_1 @ X1722)!=(esk28_1 @ X1722))|(exu @ X1722)|~(X1722 @ X1723))))&(((~(X1726 @ (esk29_2 @ X1726 @ X1727))|((esk29_2 @ X1726 @ X1727)!=(X1727))|(exu @ X1726))&((X1726 @ (esk29_2 @ X1726 @ X1727))|((esk29_2 @ X1726 @ X1727)=(X1727))|(exu @ X1726)))&((((X1729)!=(X1730))|(((X1731)!=(X1732))|(~(in @ X1731 @ X1729)|(in @ X1732 @ X1730))))&(((~(in @ X1735 @ X1733)|(in @ X1736 @ X1734)|((X1735)!=(X1736))|((X1733)!=(X1734)))&(~(in @ X1736 @ X1734)|(in @ X1735 @ X1733)|((X1735)!=(X1736))|((X1733)!=(X1734))))&((~(exu @ X1737)|(~(X1737 @ X1738)|(~(X1737 @ X1739)|((X1738)=(X1739)))))&((((~(exu @ X1740)|(exu @ X1741)|((esk30_2 @ X1740 @ X1741)=(esk31_2 @ X1740 @ X1741)))&(~(exu @ X1741)|(exu @ X1740)|((esk30_2 @ X1740 @ X1741)=(esk31_2 @ X1740 @ X1741))))&(((~(exu @ X1740)|(exu @ X1741)|(~(X1740 @ (esk30_2 @ X1740 @ X1741))|~(X1741 @ (esk31_2 @ X1740 @ X1741))))&(~(exu @ X1741)|(exu @ X1740)|(~(X1740 @ (esk30_2 @ X1740 @ X1741))|~(X1741 @ (esk31_2 @ X1740 @ X1741)))))&((~(exu @ X1740)|(exu @ X1741)|((X1740 @ (esk30_2 @ X1740 @ X1741))|(X1741 @ (esk31_2 @ X1740 @ X1741))))&(~(exu @ X1741)|(exu @ X1740)|((X1740 @ (esk30_2 @ X1740 @ X1741))|(X1741 @ (esk31_2 @ X1740 @ X1741)))))))&(((emptyset)=(emptyset))&((((X1744)!=(X1745))|(((X1746)!=(X1747))|((setadjoin @ X1744 @ X1746)=(setadjoin @ X1745 @ X1747))))&((((X1748)!=(X1749))|((powerset @ X1748)=(powerset @ X1749)))&((((X1750)!=(X1751))|((setunion @ X1750)=(setunion @ X1751)))&(((omega)=(omega))&((~(exu @ X1752)|(~(X1752 @ X1753)|(~(X1752 @ X1754)|((X1753)=(X1754)))))&(((((esk32_2 @ X1755 @ X1756)=(esk33_2 @ X1755 @ X1756))|(~(exu @ X1755)|(~(exu @ X1756)|((descr @ X1755)=(descr @ X1756)))))&((~(X1755 @ (esk32_2 @ X1755 @ X1756))|~(X1756 @ (esk33_2 @ X1755 @ X1756))|(~(exu @ X1755)|(~(exu @ X1756)|((descr @ X1755)=(descr @ X1756)))))&((X1755 @ (esk32_2 @ X1755 @ X1756))|(X1756 @ (esk33_2 @ X1755 @ X1756))|(~(exu @ X1755)|(~(exu @ X1756)|((descr @ X1755)=(descr @ X1756)))))))&((((in @ (esk34_4 @ X1759 @ X1760 @ X1761 @ X1762) @ X1759)|((dsetconstr @ X1759 @ X1761)=(dsetconstr @ X1760 @ X1762))|((X1759)!=(X1760)))&(((in @ (esk35_4 @ X1759 @ X1760 @ X1761 @ X1762) @ X1760)|((dsetconstr @ X1759 @ X1761)=(dsetconstr @ X1760 @ X1762))|((X1759)!=(X1760)))&((((esk34_4 @ X1759 @ X1760 @ X1761 @ X1762)=(esk35_4 @ X1759 @ X1760 @ X1761 @ X1762))|((dsetconstr @ X1759 @ X1761)=(dsetconstr @ X1760 @ X1762))|((X1759)!=(X1760)))&((~(X1761 @ (esk34_4 @ X1759 @ X1760 @ X1761 @ X1762))|~(X1762 @ (esk35_4 @ X1759 @ X1760 @ X1761 @ X1762))|((dsetconstr @ X1759 @ X1761)=(dsetconstr @ X1760 @ X1762))|((X1759)!=(X1760)))&((X1761 @ (esk34_4 @ X1759 @ X1760 @ X1761 @ X1762))|(X1762 @ (esk35_4 @ X1759 @ X1760 @ X1761 @ X1762))|((dsetconstr @ X1759 @ X1761)=(dsetconstr @ X1760 @ X1762))|((X1759)!=(X1760)))))))&((((in @ (esk36_2 @ X1765 @ X1766) @ X1765)|(subset @ X1765 @ X1766))&(~(in @ (esk36_2 @ X1765 @ X1766) @ X1766)|(subset @ X1765 @ X1766)))&((((X1768)!=(X1769))|(subset @ X1769 @ X1768))&((((X1770)!=(X1771))|(subset @ X1770 @ X1771))&((((in @ (esk37_2 @ X1772 @ X1773) @ X1772)|(subset @ X1772 @ X1773))&(~(in @ (esk37_2 @ X1772 @ X1773) @ X1773)|(subset @ X1772 @ X1773)))&((subset @ emptyset @ X1775)&((~(subset @ X1776 @ X1777)|(~(in @ X1778 @ X1776)|(in @ X1778 @ X1777)))&((~(subset @ X1779 @ X1780)|((in @ X1781 @ X1780)|~(in @ X1781 @ X1779)))&((~(in @ X1784 @ X1782)|((in @ X1784 @ X1783)|~(subset @ X1782 @ X1783)))&(((subset @ X1785 @ X1786)|((X1785)!=(X1786)))&((~(in @ X1789 @ X1787)|((in @ X1789 @ X1788)|((X1787)!=(X1788))))&((subset @ X1790 @ X1790)&((~(subset @ X1791 @ X1792)|(~(subset @ X1792 @ X1793)|(subset @ X1791 @ X1793)))&((subset @ X1795 @ (setadjoin @ X1794 @ X1795))&((~(subset @ X1796 @ X1798)|(subset @ X1796 @ (setadjoin @ X1797 @ X1798)))&((~(subset @ X1799 @ X1800)|(in @ X1799 @ (powerset @ X1800)))&((~(subset @ X1801 @ X1802)|(~(subset @ X1802 @ X1801)|((X1801)=(X1802))))&((~(subset @ X1803 @ emptyset)|((X1803)=(emptyset)))&((~(subset @ X1805 @ X1804)|(in @ X1805 @ (powerset @ X1804)))&((~(in @ X1807 @ (powerset @ X1806))|(subset @ X1807 @ X1806))&((in @ X1808 @ (powerset @ X1808))&((~(subset @ X1809 @ X1810)|(subset @ (powerset @ X1809) @ (powerset @ X1810)))&((in @ (dsetconstr @ X1811 @ X1812) @ (powerset @ X1811))&((subset @ (dsetconstr @ X1813 @ X1814) @ X1813)&((~(in @ X1817 @ X1815)|(in @ X1817 @ (binunion @ X1815 @ X1816)))&((in @ X1819 @ (setadjoin @ X1818 @ (setadjoin @ X1819 @ emptyset)))&((~(in @ X1822 @ X1821)|(in @ X1822 @ (binunion @ X1820 @ X1821)))&(((((in @ X1825 @ X1824)|(X1826)|(in @ X1825 @ X1823)|~(in @ X1825 @ (binunion @ X1823 @ X1824)))&(~(X1826)|(X1826)|(in @ X1825 @ X1823)|~(in @ X1825 @ (binunion @ X1823 @ X1824))))&(((in @ X1825 @ X1824)|(X1826)|~(X1826)|~(in @ X1825 @ (binunion @ X1823 @ X1824)))&(~(X1826)|(X1826)|~(X1826)|~(in @ X1825 @ (binunion @ X1823 @ X1824)))))&((~(in @ X1829 @ (binunion @ X1827 @ X1828))|((in @ X1829 @ X1827)|(in @ X1829 @ X1828)))&((subset @ X1830 @ (binunion @ X1830 @ X1831))&((subset @ X1833 @ (binunion @ X1832 @ X1833))&((~(in @ X1836 @ X1834)|(~(in @ X1836 @ X1835)|(in @ X1836 @ (binintersect @ X1834 @ X1835))))&((~(subset @ X1839 @ X1837)|(~(subset @ X1839 @ X1838)|(subset @ X1839 @ (binintersect @ X1837 @ X1838))))&((~(in @ X1842 @ (binintersect @ X1840 @ X1841))|(in @ X1842 @ X1840))&((subset @ (binintersect @ X1843 @ X1844) @ X1843)&((~(subset @ X1845 @ X1846)|((binintersect @ X1845 @ X1846)=(X1845)))&((((binintersect @ X1847 @ X1848)!=(X1848))|(subset @ X1848 @ X1847))&((~(in @ X1851 @ (binintersect @ X1849 @ X1850))|(in @ X1851 @ X1850))&((((in @ (esk38_2 @ X1852 @ X1853) @ X1852)|((binintersect @ X1852 @ X1853)=(emptyset)))&((in @ (esk38_2 @ X1852 @ X1853) @ X1853)|((binintersect @ X1852 @ X1853)=(emptyset))))&((subset @ (binintersect @ X1855 @ X1856) @ X1856)&((~(subset @ X1858 @ X1857)|((binintersect @ X1857 @ X1858)=(X1858)))&((((binintersect @ X1859 @ X1860)!=(X1859))|(subset @ X1859 @ X1860))&(((binintersect @ X1861 @ (binunion @ X1862 @ X1863))=(binunion @ (binintersect @ X1861 @ X1862) @ (binintersect @ X1861 @ X1863)))&((~(in @ X1866 @ X1864)|((in @ X1866 @ X1865)|(in @ X1866 @ (setminus @ X1864 @ X1865))))&((~(in @ X1869 @ (setminus @ X1867 @ X1868))|(in @ X1869 @ X1867))&((~(in @ X1872 @ (setminus @ X1870 @ X1871))|~(in @ X1872 @ X1871))&((~(subset @ X1873 @ X1874)|((setminus @ X1873 @ X1874)=(emptyset)))&(((in @ X1877 @ (setminus @ X1875 @ X1876))|(~(in @ X1877 @ X1875)|(in @ X1877 @ X1876)))&(((in @ X1880 @ (setminus @ X1878 @ X1879))|((in @ X1880 @ X1879)|~(in @ X1880 @ X1878)))&(((in @ X1883 @ X1881)|~(in @ X1883 @ (setminus @ X1881 @ X1882)))&((~(in @ X1886 @ X1885)|~(in @ X1886 @ (setminus @ X1884 @ X1885)))&((subset @ (setminus @ X1887 @ X1888) @ X1887)&((((setminus @ X1889 @ X1890)!=(emptyset))|(subset @ X1889 @ X1890))&((((~(in @ X1893 @ X1891)|(X1894)|(in @ X1893 @ X1891)|~(in @ X1893 @ (symdiff @ X1891 @ X1892)))&(((in @ X1893 @ X1892)|(X1894)|(in @ X1893 @ X1891)|~(in @ X1893 @ (symdiff @ X1891 @ X1892)))&(~(X1894)|(X1894)|(in @ X1893 @ X1891)|~(in @ X1893 @ (symdiff @ X1891 @ X1892)))))&(((~(in @ X1893 @ X1891)|(X1894)|~(in @ X1893 @ X1892)|~(in @ X1893 @ (symdiff @ X1891 @ X1892)))&(((in @ X1893 @ X1892)|(X1894)|~(in @ X1893 @ X1892)|~(in @ X1893 @ (symdiff @ X1891 @ X1892)))&(~(X1894)|(X1894)|~(in @ X1893 @ X1892)|~(in @ X1893 @ (symdiff @ X1891 @ X1892)))))&((~(in @ X1893 @ X1891)|(X1894)|~(X1894)|~(in @ X1893 @ (symdiff @ X1891 @ X1892)))&(((in @ X1893 @ X1892)|(X1894)|~(X1894)|~(in @ X1893 @ (symdiff @ X1891 @ X1892)))&(~(X1894)|(X1894)|~(X1894)|~(in @ X1893 @ (symdiff @ X1891 @ X1892)))))))&((~(in @ X1897 @ X1895)|((in @ X1897 @ X1896)|(in @ X1897 @ (symdiff @ X1895 @ X1896))))&(((in @ X1900 @ X1898)|(~(in @ X1900 @ X1899)|(in @ X1900 @ (symdiff @ X1898 @ X1899))))&((~(in @ X1903 @ X1901)|(~(in @ X1903 @ X1902)|~(in @ X1903 @ (symdiff @ X1901 @ X1902))))&(((in @ X1906 @ X1904)|((in @ X1906 @ X1905)|~(in @ X1906 @ (symdiff @ X1904 @ X1905))))&((in @ X1908 @ (setadjoin @ X1907 @ (setadjoin @ X1908 @ emptyset)))&((in @ X1909 @ (setunion @ (setadjoin @ (setadjoin @ X1909 @ emptyset) @ (setadjoin @ (setadjoin @ X1909 @ (setadjoin @ X1910 @ emptyset)) @ emptyset))))&((in @ X1912 @ (setunion @ (setadjoin @ (setadjoin @ X1911 @ emptyset) @ (setadjoin @ (setadjoin @ X1911 @ (setadjoin @ X1912 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1913 @ emptyset) @ (setadjoin @ (setadjoin @ X1913 @ (setadjoin @ X1914 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1915 @ X1916))&((~(in @ X1918 @ X1917)|(subset @ (setadjoin @ X1918 @ emptyset) @ X1917))&((~(in @ X1920 @ X1919)|(in @ (setadjoin @ X1920 @ emptyset) @ (powerset @ X1919)))&((~(in @ X1923 @ X1921)|(in @ (setadjoin @ X1923 @ emptyset) @ (powerset @ (binunion @ X1921 @ X1922))))&((~(in @ X1926 @ (setadjoin @ X1924 @ (setadjoin @ X1925 @ emptyset)))|(((X1926)=(X1924))|((X1926)=(X1925))))&((~(in @ X1929 @ X1927)|(~(in @ X1930 @ X1928)|(subset @ (setadjoin @ X1929 @ (setadjoin @ X1930 @ emptyset)) @ (binunion @ X1927 @ X1928))))&((~(in @ X1933 @ X1931)|(~(in @ X1934 @ X1932)|(in @ (setadjoin @ X1933 @ (setadjoin @ X1934 @ emptyset)) @ (powerset @ (binunion @ X1931 @ X1932)))))&((~(in @ X1937 @ X1935)|(~(in @ X1938 @ X1936)|(subset @ (setadjoin @ (setadjoin @ X1937 @ emptyset) @ (setadjoin @ (setadjoin @ X1937 @ (setadjoin @ X1938 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1935 @ X1936)))))&((~(in @ X1941 @ X1939)|(~(in @ X1942 @ X1940)|(in @ (setadjoin @ (setadjoin @ X1941 @ emptyset) @ (setadjoin @ (setadjoin @ X1941 @ (setadjoin @ X1942 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1939 @ X1940))))))&((~(in @ X1945 @ X1943)|(~(in @ X1946 @ X1944)|(in @ (kpair @ X1945 @ X1946) @ (powerset @ (powerset @ (binunion @ X1943 @ X1944))))))&((~(in @ X1949 @ X1947)|(~(in @ X1950 @ X1948)|(in @ (kpair @ X1949 @ X1950) @ (cartprod @ X1947 @ X1948))))&((((in @ (esk39_3 @ X1951 @ X1952 @ X1953) @ X1951)|~(in @ X1953 @ (cartprod @ X1951 @ X1952)))&(((in @ (esk40_3 @ X1951 @ X1952 @ X1953) @ X1952)|~(in @ X1953 @ (cartprod @ X1951 @ X1952)))&(((X1953)=(kpair @ (esk39_3 @ X1951 @ X1952 @ X1953) @ (esk40_3 @ X1951 @ X1952 @ X1953)))|~(in @ X1953 @ (cartprod @ X1951 @ X1952)))))&((~(in @ X1958 @ (cartprod @ X1956 @ X1957))|(iskpair @ X1958))&((((in @ (esk41_2 @ X1959 @ X1960) @ X1959)|~(in @ X1960 @ (setunion @ X1959)))&((in @ X1960 @ (esk41_2 @ X1959 @ X1960))|~(in @ X1960 @ (setunion @ X1959))))&((subset @ (setunion @ (setadjoin @ X1962 @ emptyset)) @ X1962)&((subset @ X1963 @ (setunion @ (setadjoin @ X1963 @ emptyset)))&(((setunion @ (setadjoin @ X1964 @ emptyset))=(X1964))&((((in @ (esk42_2 @ X1965 @ X1966) @ X1965)|(~(in @ X1969 @ X1965)|~(X1966 @ X1969)|(singleton @ (dsetconstr @ X1965 @ X1966))))&(((in @ (esk43_2 @ X1965 @ X1966) @ X1965)|(~(in @ X1969 @ X1965)|~(X1966 @ X1969)|(singleton @ (dsetconstr @ X1965 @ X1966))))&(((X1966 @ (esk42_2 @ X1965 @ X1966))|(~(in @ X1969 @ X1965)|~(X1966 @ X1969)|(singleton @ (dsetconstr @ X1965 @ X1966))))&(((X1966 @ (esk43_2 @ X1965 @ X1966))|(~(in @ X1969 @ X1965)|~(X1966 @ X1969)|(singleton @ (dsetconstr @ X1965 @ X1966))))&(((esk42_2 @ X1965 @ X1966)!=(esk43_2 @ X1965 @ X1966))|(~(in @ X1969 @ X1965)|~(X1966 @ X1969)|(singleton @ (dsetconstr @ X1965 @ X1966))))))))&((((in @ (esk44_2 @ X1970 @ X1971) @ X1970)|~(ex1 @ X1970 @ X1971))&((X1971 @ (esk44_2 @ X1970 @ X1971))|~(ex1 @ X1970 @ X1971)))&((((in @ (esk45_3 @ X1973 @ X1974 @ X1975) @ X1973)|(ex1 @ X1973 @ X1974)|~(X1974 @ X1975)|~(in @ X1975 @ X1973))&(((X1974 @ (esk45_3 @ X1973 @ X1974 @ X1975))|(ex1 @ X1973 @ X1974)|~(X1974 @ X1975)|~(in @ X1975 @ X1973))&(((esk45_3 @ X1973 @ X1974 @ X1975)!=(X1975))|(ex1 @ X1973 @ X1974)|~(X1974 @ X1975)|~(in @ X1975 @ X1973))))&((((in @ (esk46_2 @ X1977 @ X1978) @ X1977)|(~(in @ X1981 @ X1977)|~(X1978 @ X1981)|(ex1 @ X1977 @ X1978)))&(((in @ (esk47_2 @ X1977 @ X1978) @ X1977)|(~(in @ X1981 @ X1977)|~(X1978 @ X1981)|(ex1 @ X1977 @ X1978)))&(((X1978 @ (esk46_2 @ X1977 @ X1978))|(~(in @ X1981 @ X1977)|~(X1978 @ X1981)|(ex1 @ X1977 @ X1978)))&(((X1978 @ (esk47_2 @ X1977 @ X1978))|(~(in @ X1981 @ X1977)|~(X1978 @ X1981)|(ex1 @ X1977 @ X1978)))&(((esk46_2 @ X1977 @ X1978)!=(esk47_2 @ X1977 @ X1978))|(~(in @ X1981 @ X1977)|~(X1978 @ X1981)|(ex1 @ X1977 @ X1978)))))))&((((setadjoin @ X1982 @ emptyset)!=(setadjoin @ X1983 @ emptyset))|((X1982)=(X1983)))&((~(in @ (setadjoin @ X1986 @ emptyset) @ (setadjoin @ (setadjoin @ X1984 @ emptyset) @ (setadjoin @ (setadjoin @ X1984 @ (setadjoin @ X1985 @ emptyset)) @ emptyset)))|((X1984)=(X1986)))&((~(iskpair @ X1987)|(singleton @ (dsetconstr @ (setunion @ X1987) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1987))))))&((~(singleton @ X1988)|(in @ (setunion @ X1988) @ X1988))&(((kfst @ (kpair @ X1989 @ X1990))=(X1989))&((~(in @ X1993 @ (cartprod @ X1991 @ X1992))|(in @ (kfst @ X1993) @ X1991))&((((setadjoin @ (setadjoin @ X1994 @ emptyset) @ (setadjoin @ (setadjoin @ X1994 @ (setadjoin @ X1995 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1996 @ emptyset) @ (setadjoin @ (setadjoin @ X1996 @ (setadjoin @ X1997 @ emptyset)) @ emptyset)))|((X1994)=(X1996)))&((((kpair @ X1998 @ X1999)!=(kpair @ X2000 @ X2001))|((X1998)=(X2000)))&((((X2002)!=(X2003))|((setadjoin @ X2002 @ (setadjoin @ X2003 @ emptyset))=(setadjoin @ X2002 @ emptyset)))&((((X2004)!=(X2005))|((setadjoin @ (setadjoin @ X2004 @ emptyset) @ (setadjoin @ (setadjoin @ X2004 @ (setadjoin @ X2005 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2004 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X2006 @ emptyset) @ (setadjoin @ (setadjoin @ X2006 @ (setadjoin @ X2007 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2008 @ emptyset) @ (setadjoin @ (setadjoin @ X2008 @ (setadjoin @ X2009 @ emptyset)) @ emptyset)))|(((X2008)!=(X2009))|((X2007)=(X2009))))&((((setadjoin @ X2010 @ (setadjoin @ X2011 @ emptyset))!=(setadjoin @ X2012 @ emptyset))|((X2010)=(X2011)))&((((setadjoin @ (setadjoin @ X2013 @ emptyset) @ (setadjoin @ (setadjoin @ X2013 @ (setadjoin @ X2014 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X2015 @ emptyset) @ (setadjoin @ (setadjoin @ X2015 @ (setadjoin @ X2016 @ emptyset)) @ emptyset)))|((X2014)=(X2016)))&((((kpair @ X2017 @ X2018)!=(kpair @ X2019 @ X2020))|((X2018)=(X2020)))&((~(iskpair @ X2021)|(singleton @ (dsetconstr @ (setunion @ X2021) @ (^[Z0/* 3 */:$i]:(((X2021)=(kpair @ (kfst @ X2021) @ Z0)))))))&(((ksnd @ (kpair @ X2022 @ X2023))=(X2023))&((~(iskpair @ X2024)|((kpair @ (kfst @ X2024) @ (ksnd @ X2024))=(X2024)))&((~(in @ X2027 @ (cartprod @ X2025 @ X2026))|(in @ (ksnd @ X2027) @ X2026))&((~(in @ (kpair @ X2030 @ X2031) @ (cartprod @ X2028 @ X2029))|(in @ X2030 @ X2028))&((~(in @ (kpair @ X2034 @ X2035) @ (cartprod @ X2032 @ X2033))|(in @ X2035 @ X2033))&((~(in @ X2038 @ X2036)|(~(in @ X2039 @ X2037)|((kpair @ X2038 @ X2039)=(kpair @ X2038 @ X2039))))&((~(in @ X2042 @ X2040)|(~(in @ X2043 @ X2041)|((kfst @ (kpair @ X2042 @ X2043))=(X2042))))&((~(in @ X2046 @ X2044)|(~(in @ X2047 @ X2045)|((ksnd @ (kpair @ X2046 @ X2047))=(X2047))))&((~(in @ X2050 @ (cartprod @ X2048 @ X2049))|((kpair @ (kfst @ X2050) @ (ksnd @ X2050))=(X2050)))&((~(in @ X2054 @ X2051)|(~(in @ X2055 @ X2052)|(~(X2053 @ X2054 @ X2055)|(in @ (kpair @ X2054 @ X2055) @ (dpsetconstr @ X2051 @ X2052 @ X2053)))))&((subset @ (dpsetconstr @ X2056 @ X2057 @ X2058) @ (cartprod @ X2056 @ X2057))&((breln @ X2059 @ X2060 @ (dpsetconstr @ X2059 @ X2060 @ X2061))&((~(in @ X2065 @ X2062)|(~(in @ X2066 @ X2063)|(~(in @ (kpair @ X2065 @ X2066) @ (dpsetconstr @ X2062 @ X2063 @ X2064))|(X2064 @ X2065 @ X2066))))&((~(in @ (kpair @ X2070 @ X2071) @ (dpsetconstr @ X2067 @ X2068 @ X2069))|(in @ X2070 @ X2067))&((~(in @ (kpair @ X2075 @ X2076) @ (dpsetconstr @ X2072 @ X2073 @ X2074))|(in @ X2076 @ X2073))&((~(in @ (kpair @ X2080 @ X2081) @ (dpsetconstr @ X2077 @ X2078 @ X2079))|(X2079 @ X2080 @ X2081))&((~(func @ X2082 @ X2083 @ X2084)|(~(in @ X2085 @ X2082)|(singleton @ (dsetconstr @ X2083 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2085 @ Z0) @ X2084)))))))&((~(func @ X2086 @ X2087 @ X2088)|(~(in @ X2089 @ X2086)|(in @ (setunion @ (dsetconstr @ X2087 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2089 @ Z0) @ X2088))))) @ X2087)))&((~(func @ X2090 @ X2091 @ X2092)|(~(in @ X2093 @ X2090)|(in @ (ap @ X2090 @ X2091 @ X2092 @ X2093) @ X2091)))&((~(in @ X2096 @ (funcSet @ X2094 @ X2095))|(func @ X2094 @ X2095 @ X2096))&((~(in @ X2099 @ (funcSet @ X2097 @ X2098))|(~(in @ X2100 @ X2097)|(in @ (ap @ X2097 @ X2098 @ X2099 @ X2100) @ X2098)))&((~(func @ X2101 @ X2102 @ X2103)|(in @ X2103 @ (funcSet @ X2101 @ X2102)))&((((in @ (esk48_3 @ X2104 @ X2105 @ X2106) @ X2104)|(func @ X2104 @ X2105 @ (dpsetconstr @ X2104 @ X2105 @ (^[Z0/* 3 */:$i]:($eq @ (X2106 @ Z0))))))&(~(in @ (X2106 @ (esk48_3 @ X2104 @ X2105 @ X2106)) @ X2105)|(func @ X2104 @ X2105 @ (dpsetconstr @ X2104 @ X2105 @ (^[Z0/* 3 */:$i]:($eq @ (X2106 @ Z0)))))))&((((in @ (esk49_3 @ X2108 @ X2109 @ X2110) @ X2108)|(func @ X2108 @ X2109 @ (lam @ X2108 @ X2109 @ X2110)))&(~(in @ (X2110 @ (esk49_3 @ X2108 @ X2109 @ X2110)) @ X2109)|(func @ X2108 @ X2109 @ (lam @ X2108 @ X2109 @ X2110))))&((((in @ (esk50_3 @ X2112 @ X2113 @ X2114) @ X2112)|(in @ (lam @ X2112 @ X2113 @ X2114) @ (funcSet @ X2112 @ X2113)))&(~(in @ (X2114 @ (esk50_3 @ X2112 @ X2113 @ X2114)) @ X2113)|(in @ (lam @ X2112 @ X2113 @ X2114) @ (funcSet @ X2112 @ X2113))))&((((in @ (esk51_4 @ X2116 @ X2117 @ X2118 @ X2119) @ X2116)|(~(in @ X2122 @ X2118)|(X2119 @ X2122))|~(breln @ X2116 @ X2117 @ X2118))&(((in @ (esk52_4 @ X2116 @ X2117 @ X2118 @ X2119) @ X2117)|(~(in @ X2122 @ X2118)|(X2119 @ X2122))|~(breln @ X2116 @ X2117 @ X2118))&(((in @ (kpair @ (esk51_4 @ X2116 @ X2117 @ X2118 @ X2119) @ (esk52_4 @ X2116 @ X2117 @ X2118 @ X2119)) @ X2118)|(~(in @ X2122 @ X2118)|(X2119 @ X2122))|~(breln @ X2116 @ X2117 @ X2118))&(~(X2119 @ (kpair @ (esk51_4 @ X2116 @ X2117 @ X2118 @ X2119) @ (esk52_4 @ X2116 @ X2117 @ X2118 @ X2119)))|(~(in @ X2122 @ X2118)|(X2119 @ X2122))|~(breln @ X2116 @ X2117 @ X2118)))))&((((in @ (esk53_4 @ X2123 @ X2124 @ X2125 @ X2126) @ X2123)|(~(in @ X2129 @ X2125)|(X2126 @ X2129))|~(breln @ X2123 @ X2124 @ X2125))&(((in @ (esk54_4 @ X2123 @ X2124 @ X2125 @ X2126) @ X2124)|(~(in @ X2129 @ X2125)|(X2126 @ X2129))|~(breln @ X2123 @ X2124 @ X2125))&(((in @ (kpair @ (esk53_4 @ X2123 @ X2124 @ X2125 @ X2126) @ (esk54_4 @ X2123 @ X2124 @ X2125 @ X2126)) @ X2125)|(~(in @ X2129 @ X2125)|(X2126 @ X2129))|~(breln @ X2123 @ X2124 @ X2125))&(~(X2126 @ (kpair @ (esk53_4 @ X2123 @ X2124 @ X2125 @ X2126) @ (esk54_4 @ X2123 @ X2124 @ X2125 @ X2126)))|(~(in @ X2129 @ X2125)|(X2126 @ X2129))|~(breln @ X2123 @ X2124 @ X2125)))))&((~(ex1 @ X2130 @ X2131)|(~(in @ X2132 @ X2130)|(~(in @ X2133 @ X2130)|(~(X2131 @ X2132)|(~(X2131 @ X2133)|((X2132)=(X2133)))))))&((~(func @ X2134 @ X2135 @ X2136)|(~(in @ X2137 @ X2134)|(in @ (kpair @ X2137 @ (ap @ X2134 @ X2135 @ X2136 @ X2137)) @ X2136)))&((~(in @ X2140 @ (funcSet @ X2138 @ X2139))|(~(in @ X2141 @ X2138)|(in @ (kpair @ X2141 @ (ap @ X2138 @ X2139 @ X2140 @ X2141)) @ X2140)))&((~(func @ X2142 @ X2143 @ X2144)|(~(in @ X2145 @ X2142)|(~(in @ X2146 @ X2143)|(~(in @ (kpair @ X2145 @ X2146) @ X2144)|((ap @ X2142 @ X2143 @ X2144 @ X2145)=(X2146))))))&((((in @ (esk55_4 @ X2147 @ X2148 @ X2149 @ X2150) @ X2147)|(~(in @ X2152 @ X2147)|(~(in @ X2153 @ X2148)|(~(in @ (kpair @ X2152 @ X2153) @ X2150)|(in @ (kpair @ X2152 @ X2153) @ X2149))))|~(func @ X2147 @ X2148 @ X2150)|~(func @ X2147 @ X2148 @ X2149))&(((ap @ X2147 @ X2148 @ X2149 @ (esk55_4 @ X2147 @ X2148 @ X2149 @ X2150))!=(ap @ X2147 @ X2148 @ X2150 @ (esk55_4 @ X2147 @ X2148 @ X2149 @ X2150)))|(~(in @ X2152 @ X2147)|(~(in @ X2153 @ X2148)|(~(in @ (kpair @ X2152 @ X2153) @ X2150)|(in @ (kpair @ X2152 @ X2153) @ X2149))))|~(func @ X2147 @ X2148 @ X2150)|~(func @ X2147 @ X2148 @ X2149)))&((~(in @ X2156 @ (funcSet @ X2154 @ X2155))|(~(in @ X2157 @ X2154)|(~(in @ X2158 @ X2155)|(~(in @ (kpair @ X2157 @ X2158) @ X2156)|((ap @ X2154 @ X2155 @ X2156 @ X2157)=(X2158))))))&((((in @ (esk56_4 @ X2159 @ X2160 @ X2161 @ X2162) @ X2159)|(subset @ X2161 @ X2162)|~(breln @ X2159 @ X2160 @ X2162)|~(breln @ X2159 @ X2160 @ X2161))&(((in @ (esk57_4 @ X2159 @ X2160 @ X2161 @ X2162) @ X2160)|(subset @ X2161 @ X2162)|~(breln @ X2159 @ X2160 @ X2162)|~(breln @ X2159 @ X2160 @ X2161))&(((in @ (kpair @ (esk56_4 @ X2159 @ X2160 @ X2161 @ X2162) @ (esk57_4 @ X2159 @ X2160 @ X2161 @ X2162)) @ X2161)|(subset @ X2161 @ X2162)|~(breln @ X2159 @ X2160 @ X2162)|~(breln @ X2159 @ X2160 @ X2161))&(~(in @ (kpair @ (esk56_4 @ X2159 @ X2160 @ X2161 @ X2162) @ (esk57_4 @ X2159 @ X2160 @ X2161 @ X2162)) @ X2162)|(subset @ X2161 @ X2162)|~(breln @ X2159 @ X2160 @ X2162)|~(breln @ X2159 @ X2160 @ X2161)))))&(((((in @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2165)|((X2167)=(X2168))|(in @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2165)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(((in @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2166)|((X2167)=(X2168))|(in @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2165)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(((in @ (kpair @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2168)|((X2167)=(X2168))|(in @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2165)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(~(in @ (kpair @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2167)|((X2167)=(X2168))|(in @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2165)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167)))))&((((in @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2165)|((X2167)=(X2168))|(in @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2166)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(((in @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2166)|((X2167)=(X2168))|(in @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2166)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(((in @ (kpair @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2168)|((X2167)=(X2168))|(in @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2166)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(~(in @ (kpair @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2167)|((X2167)=(X2168))|(in @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2166)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167)))))&((((in @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2165)|((X2167)=(X2168))|(in @ (kpair @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2167)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(((in @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2166)|((X2167)=(X2168))|(in @ (kpair @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2167)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(((in @ (kpair @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2168)|((X2167)=(X2168))|(in @ (kpair @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2167)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(~(in @ (kpair @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2167)|((X2167)=(X2168))|(in @ (kpair @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2167)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167)))))&(((in @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2165)|((X2167)=(X2168))|~(in @ (kpair @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2168)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(((in @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168) @ X2166)|((X2167)=(X2168))|~(in @ (kpair @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2168)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(((in @ (kpair @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2168)|((X2167)=(X2168))|~(in @ (kpair @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2168)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))&(~(in @ (kpair @ (esk60_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk61_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2167)|((X2167)=(X2168))|~(in @ (kpair @ (esk58_4 @ X2165 @ X2166 @ X2167 @ X2168) @ (esk59_4 @ X2165 @ X2166 @ X2167 @ X2168)) @ X2168)|~(breln @ X2165 @ X2166 @ X2168)|~(breln @ X2165 @ X2166 @ X2167))))))))&((((in @ (esk62_4 @ X2173 @ X2174 @ X2175 @ X2176) @ X2173)|((X2175)=(X2176))|~(func @ X2173 @ X2174 @ X2176)|~(func @ X2173 @ X2174 @ X2175))&(((ap @ X2173 @ X2174 @ X2175 @ (esk62_4 @ X2173 @ X2174 @ X2175 @ X2176))!=(ap @ X2173 @ X2174 @ X2176 @ (esk62_4 @ X2173 @ X2174 @ X2175 @ X2176)))|((X2175)=(X2176))|~(func @ X2173 @ X2174 @ X2176)|~(func @ X2173 @ X2174 @ X2175)))&((((in @ (esk63_4 @ X2178 @ X2179 @ X2180 @ X2181) @ X2178)|((X2180)=(X2181))|~(in @ X2181 @ (funcSet @ X2178 @ X2179))|~(in @ X2180 @ (funcSet @ X2178 @ X2179)))&(((ap @ X2178 @ X2179 @ X2180 @ (esk63_4 @ X2178 @ X2179 @ X2180 @ X2181))!=(ap @ X2178 @ X2179 @ X2181 @ (esk63_4 @ X2178 @ X2179 @ X2180 @ X2181)))|((X2180)=(X2181))|~(in @ X2181 @ (funcSet @ X2178 @ X2179))|~(in @ X2180 @ (funcSet @ X2178 @ X2179))))&((~(in @ X2185 @ (funcSet @ X2183 @ X2184))|(~(in @ X2186 @ X2183)|((ap @ X2183 @ X2184 @ X2185 @ X2186)=(ap @ X2183 @ X2184 @ X2185 @ X2186))))&((~(func @ X2187 @ X2188 @ X2189)|(~(in @ X2190 @ X2187)|((ap @ X2187 @ X2188 @ X2189 @ X2190)=(ap @ X2187 @ X2188 @ X2189 @ X2190))))&((((in @ (esk64_3 @ X2191 @ X2192 @ X2193) @ X2191)|(~(in @ X2195 @ X2191)|((ap @ X2191 @ X2192 @ (lam @ X2191 @ X2192 @ X2193) @ X2195)=(X2193 @ X2195))))&(~(in @ (X2193 @ (esk64_3 @ X2191 @ X2192 @ X2193)) @ X2192)|(~(in @ X2195 @ X2191)|((ap @ X2191 @ X2192 @ (lam @ X2191 @ X2192 @ X2193) @ X2195)=(X2193 @ X2195)))))&((~(func @ X2196 @ X2197 @ X2198)|((lam @ X2196 @ X2197 @ (ap @ X2196 @ X2197 @ X2198))=(X2198)))&((((in @ (esk65_3 @ X2199 @ X2200 @ X2201) @ X2199)|((lam @ X2199 @ X2200 @ X2201)=(lam @ X2199 @ X2200 @ X2201)))&(~(in @ (X2201 @ (esk65_3 @ X2199 @ X2200 @ X2201)) @ X2200)|((lam @ X2199 @ X2200 @ X2201)=(lam @ X2199 @ X2200 @ X2201))))&((((in @ (esk66_3 @ X2203 @ X2204 @ X2205) @ X2203)|(~(in @ X2207 @ X2203)|((ap @ X2203 @ X2204 @ (lam @ X2203 @ X2204 @ X2205) @ X2207)=(X2205 @ X2207))))&(~(in @ (X2205 @ (esk66_3 @ X2203 @ X2204 @ X2205)) @ X2204)|(~(in @ X2207 @ X2203)|((ap @ X2203 @ X2204 @ (lam @ X2203 @ X2204 @ X2205) @ X2207)=(X2205 @ X2207)))))&((~(in @ X2210 @ (funcSet @ X2208 @ X2209))|((lam @ X2208 @ X2209 @ (ap @ X2208 @ X2209 @ X2210))=(X2210)))&((~(in @ X2213 @ X2211)|(~(in @ X2214 @ X2211)|((X2212)|(in @ X2214 @ (dsetconstr @ X2211 @ (^[Z0/* 9 */:$i]:((((X2212)&((Z0)=(X2213)))|(~((X2212))&((Z0)=(X2214)))))))))))&((~(in @ X2217 @ X2215)|(~(in @ X2218 @ X2215)|((X2216)|((dsetconstr @ X2215 @ (^[Z0/* 9 */:$i]:((((X2216)&((Z0)=(X2217)))|(~((X2216))&((Z0)=(X2218)))))))=(setadjoin @ X2218 @ emptyset)))))&((~(in @ X2221 @ X2219)|(~(in @ X2222 @ X2219)|(~(X2220)|(in @ X2221 @ (dsetconstr @ X2219 @ (^[Z0/* 9 */:$i]:((((X2220)&((Z0)=(X2221)))|(~((X2220))&((Z0)=(X2222)))))))))))&((~(in @ X2225 @ X2223)|(~(in @ X2226 @ X2223)|(~(X2224)|((dsetconstr @ X2223 @ (^[Z0/* 9 */:$i]:((((X2224)&((Z0)=(X2225)))|(~((X2224))&((Z0)=(X2226)))))))=(setadjoin @ X2225 @ emptyset)))))&((~(in @ X2229 @ X2227)|(~(in @ X2230 @ X2227)|(singleton @ (dsetconstr @ X2227 @ (^[Z0/* 9 */:$i]:((((X2228)&((Z0)=(X2229)))|(~((X2228))&((Z0)=(X2230))))))))))&((~(in @ X2233 @ X2231)|(~(in @ X2234 @ X2231)|(in @ (if @ X2231 @ ((X2232)) @ X2233 @ X2234) @ X2231)))&((~(singleton @ X2235)|(~(in @ X2236 @ X2235)|((setunion @ X2235)=(X2236))))&((~(in @ X2239 @ X2237)|(~(in @ X2240 @ X2237)|(~(X2238)|((if @ X2237 @ ((X2238)) @ X2239 @ X2240)=(X2239)))))&((~(in @ X2243 @ X2241)|(~(in @ X2244 @ X2241)|((X2242)|((if @ X2241 @ ((X2242)) @ X2243 @ X2244)=(X2244)))))&((~(in @ X2247 @ X2245)|(~(in @ X2248 @ X2245)|(in @ (if @ X2245 @ ((X2246)) @ X2247 @ X2248) @ (setadjoin @ X2247 @ (setadjoin @ X2248 @ emptyset)))))&((~(in @ X2250 @ (powerset @ X2249))|(~(in @ X2251 @ (powerset @ X2249))|(in @ (binintersect @ X2250 @ X2251) @ (powerset @ X2249))))&((~(in @ X2253 @ (powerset @ X2252))|(~(in @ X2254 @ (powerset @ X2252))|(in @ (binunion @ X2253 @ X2254) @ (powerset @ X2252))))&((~(in @ X2256 @ (powerset @ X2255))|(in @ (powerset @ X2256) @ (powerset @ (powerset @ X2255))))&((~(in @ X2258 @ (powerset @ X2257))|(~(in @ X2259 @ (powerset @ X2257))|(in @ (setminus @ X2258 @ X2259) @ (powerset @ X2257))))&((~(in @ X2261 @ (powerset @ X2260))|(in @ (setminus @ X2260 @ X2261) @ (powerset @ X2260)))&(((((in @ (esk68_3 @ X2262 @ X2263 @ X2264) @ X2262)|((X2263)=(X2264))|(in @ (esk67_3 @ X2262 @ X2263 @ X2264) @ X2262)|~(in @ X2264 @ (powerset @ X2262))|~(in @ X2263 @ (powerset @ X2262)))&(((in @ (esk68_3 @ X2262 @ X2263 @ X2264) @ X2264)|((X2263)=(X2264))|(in @ (esk67_3 @ X2262 @ X2263 @ X2264) @ X2262)|~(in @ X2264 @ (powerset @ X2262))|~(in @ X2263 @ (powerset @ X2262)))&(~(in @ (esk68_3 @ X2262 @ X2263 @ X2264) @ X2263)|((X2263)=(X2264))|(in @ (esk67_3 @ X2262 @ X2263 @ X2264) @ X2262)|~(in @ X2264 @ (powerset @ X2262))|~(in @ X2263 @ (powerset @ X2262)))))&((((in @ (esk68_3 @ X2262 @ X2263 @ X2264) @ X2262)|((X2263)=(X2264))|(in @ (esk67_3 @ X2262 @ X2263 @ X2264) @ X2263)|~(in @ X2264 @ (powerset @ X2262))|~(in @ X2263 @ (powerset @ X2262)))&(((in @ (esk68_3 @ X2262 @ X2263 @ X2264) @ X2264)|((X2263)=(X2264))|(in @ (esk67_3 @ X2262 @ X2263 @ X2264) @ X2263)|~(in @ X2264 @ (powerset @ X2262))|~(in @ X2263 @ (powerset @ X2262)))&(~(in @ (esk68_3 @ X2262 @ X2263 @ X2264) @ X2263)|((X2263)=(X2264))|(in @ (esk67_3 @ X2262 @ X2263 @ X2264) @ X2263)|~(in @ X2264 @ (powerset @ X2262))|~(in @ X2263 @ (powerset @ X2262)))))&(((in @ (esk68_3 @ X2262 @ X2263 @ X2264) @ X2262)|((X2263)=(X2264))|~(in @ (esk67_3 @ X2262 @ X2263 @ X2264) @ X2264)|~(in @ X2264 @ (powerset @ X2262))|~(in @ X2263 @ (powerset @ X2262)))&(((in @ (esk68_3 @ X2262 @ X2263 @ X2264) @ X2264)|((X2263)=(X2264))|~(in @ (esk67_3 @ X2262 @ X2263 @ X2264) @ X2264)|~(in @ X2264 @ (powerset @ X2262))|~(in @ X2263 @ (powerset @ X2262)))&(~(in @ (esk68_3 @ X2262 @ X2263 @ X2264) @ X2263)|((X2263)=(X2264))|~(in @ (esk67_3 @ X2262 @ X2263 @ X2264) @ X2264)|~(in @ X2264 @ (powerset @ X2262))|~(in @ X2263 @ (powerset @ X2262)))))))&((((in @ (esk69_3 @ X2267 @ X2268 @ X2269) @ X2267)|(subset @ X2268 @ X2269)|~(in @ X2269 @ (powerset @ X2267))|~(in @ X2268 @ (powerset @ X2267)))&(((in @ (esk69_3 @ X2267 @ X2268 @ X2269) @ X2268)|(subset @ X2268 @ X2269)|~(in @ X2269 @ (powerset @ X2267))|~(in @ X2268 @ (powerset @ X2267)))&(~(in @ (esk69_3 @ X2267 @ X2268 @ X2269) @ X2269)|(subset @ X2268 @ X2269)|~(in @ X2269 @ (powerset @ X2267))|~(in @ X2268 @ (powerset @ X2267)))))&((((in @ (esk70_3 @ X2271 @ X2272 @ X2273) @ X2271)|(in @ X2272 @ (powerset @ X2273))|~(in @ X2273 @ (powerset @ X2271))|~(in @ X2272 @ (powerset @ X2271)))&(((in @ (esk70_3 @ X2271 @ X2272 @ X2273) @ X2272)|(in @ X2272 @ (powerset @ X2273))|~(in @ X2273 @ (powerset @ X2271))|~(in @ X2272 @ (powerset @ X2271)))&(~(in @ (esk70_3 @ X2271 @ X2272 @ X2273) @ X2273)|(in @ X2272 @ (powerset @ X2273))|~(in @ X2273 @ (powerset @ X2271))|~(in @ X2272 @ (powerset @ X2271)))))&((~(in @ X2276 @ (powerset @ X2275))|(~(in @ X2277 @ (powerset @ X2275))|(~(in @ X2278 @ X2275)|(~(in @ X2276 @ (powerset @ X2277))|(~(in @ X2278 @ X2276)|(in @ X2278 @ X2277))))))&((~(in @ X2280 @ (powerset @ X2279))|(~(in @ X2281 @ X2279)|(~(in @ X2281 @ X2280)|~(in @ X2281 @ (setminus @ X2279 @ X2280)))))&((~(in @ X2283 @ (powerset @ X2282))|(~(in @ X2284 @ X2282)|((in @ X2284 @ (setminus @ X2282 @ X2283))|(in @ X2284 @ X2283))))&((~(in @ X2286 @ (powerset @ X2285))|(~(in @ X2287 @ (powerset @ X2285))|(~(in @ X2288 @ X2285)|((in @ X2288 @ X2286)|~(in @ X2288 @ (binintersect @ X2286 @ X2287))))))&((~(in @ X2290 @ (powerset @ X2289))|(~(in @ X2291 @ (powerset @ X2289))|(~(in @ X2292 @ X2289)|((in @ X2292 @ X2291)|~(in @ X2292 @ (binintersect @ X2290 @ X2291))))))&((~(in @ X2294 @ (powerset @ X2293))|(~(in @ X2295 @ (powerset @ X2293))|(~(in @ X2296 @ X2293)|(~(subset @ X2294 @ (setminus @ X2293 @ X2295))|(~(in @ X2296 @ X2295)|~(in @ X2296 @ X2294))))))&((~(in @ X2298 @ (powerset @ X2297))|(~(in @ X2299 @ (powerset @ X2297))|(~(in @ X2300 @ X2297)|(~(subset @ X2298 @ X2299)|((in @ X2300 @ X2299)|~(in @ X2300 @ X2298))))))&((~(in @ X2302 @ (powerset @ X2301))|(~(in @ X2303 @ (powerset @ X2301))|(~(subset @ X2302 @ X2303)|(subset @ (setminus @ X2301 @ X2303) @ (setminus @ X2301 @ X2302)))))&((~(in @ X2305 @ (powerset @ X2304))|(~(in @ X2306 @ (powerset @ X2304))|(~(subset @ (setminus @ X2304 @ X2306) @ (setminus @ X2304 @ X2305))|(subset @ X2305 @ X2306))))&((~(in @ X2308 @ (powerset @ X2307))|(~(in @ X2309 @ X2307)|(~(in @ X2309 @ X2308)|(in @ X2309 @ (setminus @ X2307 @ (setminus @ X2307 @ X2308))))))&((in @ esk72_0 @ (powerset @ esk71_0))&((in @ esk73_0 @ esk71_0)&((in @ esk73_0 @ (setminus @ esk71_0 @ (setminus @ esk71_0 @ esk72_0)))&~(in @ esk73_0 @ esk72_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_296])])])])])])])).
3.06/0.89	thf(c_0_298, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((~((in @ X2 @ (setminus @ X3 @ X4)))|~((in @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_297])).
3.06/0.89	thf(c_0_299, negated_conjecture, (in @ esk73_0 @ (setminus @ esk71_0 @ (setminus @ esk71_0 @ esk72_0))), inference(split_conjunct,[status(thm)],[c_0_297])).
3.06/0.89	thf(c_0_300, negated_conjecture, ~((in @ esk73_0 @ (setminus @ esk71_0 @ esk72_0))), inference(spm,[status(thm)],[c_0_298, c_0_299])).
3.06/0.89	thf(c_0_301, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setminus @ X3 @ X4))|(in @ X2 @ X4)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_297])).
3.06/0.89	thf(c_0_302, negated_conjecture, (in @ esk73_0 @ esk71_0), inference(split_conjunct,[status(thm)],[c_0_297])).
3.06/0.89	thf(c_0_303, negated_conjecture, ~((in @ esk73_0 @ esk72_0)), inference(split_conjunct,[status(thm)],[c_0_297])).
3.06/0.89	thf(c_0_304, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300, c_0_301]), c_0_302])]), c_0_303]), ['proof']).
3.06/0.89	# SZS output end CNFRefutation
3.06/0.89	# Parsed axioms                        : 531
3.06/0.89	# Removed by relevancy pruning/SinE    : 287
3.06/0.89	# Initial clauses                      : 405
3.06/0.89	# Removed in clause preprocessing      : 34
3.06/0.89	# Initial clauses in saturation        : 371
3.06/0.89	# Processed clauses                    : 708
3.06/0.89	# ...of these trivial                  : 9
3.06/0.89	# ...subsumed                          : 33
3.06/0.89	# ...remaining for further processing  : 666
3.06/0.89	# Other redundant clauses eliminated   : 53
3.06/0.89	# Clauses deleted for lack of memory   : 0
3.06/0.89	# Backward-subsumed                    : 0
3.06/0.89	# Backward-rewritten                   : 1
3.06/0.89	# Generated clauses                    : 7175
3.06/0.89	# ...of the previous two non-redundant : 6956
3.06/0.89	# ...aggressively subsumed             : 0
3.06/0.89	# Contextual simplify-reflections      : 2
3.06/0.89	# Paramodulations                      : 7087
3.06/0.89	# Factorizations                       : 2
3.06/0.89	# NegExts                              : 0
3.06/0.89	# Equation resolutions                 : 60
3.06/0.89	# Disequality decompositions           : 0
3.06/0.89	# Total rewrite steps                  : 184
3.06/0.89	# ...of those cached                   : 124
3.06/0.89	# Propositional unsat checks           : 0
3.06/0.89	#    Propositional check models        : 0
3.06/0.89	#    Propositional check unsatisfiable : 0
3.06/0.89	#    Propositional clauses             : 0
3.06/0.89	#    Propositional clauses after purity: 0
3.06/0.89	#    Propositional unsat core size     : 0
3.06/0.89	#    Propositional preprocessing time  : 0.000
3.06/0.89	#    Propositional encoding time       : 0.000
3.06/0.89	#    Propositional solver time         : 0.000
3.06/0.89	#    Success case prop preproc time    : 0.000
3.06/0.89	#    Success case prop encoding time   : 0.000
3.06/0.89	#    Success case prop solver time     : 0.000
3.06/0.89	# Current number of processed clauses  : 325
3.06/0.89	#    Positive orientable unit clauses  : 38
3.06/0.89	#    Positive unorientable unit clauses: 0
3.06/0.89	#    Negative unit clauses             : 4
3.06/0.89	#    Non-unit-clauses                  : 283
3.06/0.89	# Current number of unprocessed clauses: 6941
3.06/0.89	# ...number of literals in the above   : 28897
3.06/0.89	# Current number of archived formulas  : 0
3.06/0.89	# Current number of archived clauses   : 325
3.06/0.89	# Clause-clause subsumption calls (NU) : 43305
3.06/0.89	# Rec. Clause-clause subsumption calls : 17644
3.06/0.89	# Non-unit clause-clause subsumptions  : 31
3.06/0.89	# Unit Clause-clause subsumption calls : 450
3.06/0.89	# Rewrite failures with RHS unbound    : 0
3.06/0.89	# BW rewrite match attempts            : 30
3.06/0.89	# BW rewrite match successes           : 1
3.06/0.89	# Condensation attempts                : 0
3.06/0.89	# Condensation successes               : 0
3.06/0.89	# Termbank termtop insertions          : 181311
3.06/0.89	# Search garbage collected termcells   : 24305
3.06/0.89	
3.06/0.89	# -------------------------------------------------
3.06/0.89	# User time                : 0.305 s
3.06/0.89	# System time              : 0.021 s
3.06/0.89	# Total time               : 0.325 s
3.06/0.89	# Maximum resident set size: 7924 pages
3.06/0.89	
3.06/0.89	# -------------------------------------------------
3.06/0.89	# User time                : 0.318 s
3.06/0.89	# System time              : 0.026 s
3.06/0.89	# Total time               : 0.343 s
3.06/0.89	# Maximum resident set size: 2600 pages
3.06/0.89	% E exiting
3.06/0.89	% E exiting
3.06/0.89	EOF