0.02/0.12	% Problem    : Vampire---4.8_18565 : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : run_E %s %d THM
0.12/0.32	% Computer : n019.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 1440
0.12/0.32	% WCLimit    : 180
0.12/0.32	% DateTime   : Mon Jul  3 12:52:04 EDT 2023
0.12/0.32	% CPUTime    : 
0.17/0.45	Running higher-order theorem provingRunning: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565
0.17/0.45	# Version: 3.1pre001-ho
953.48/127.39	# Preprocessing class: HSLMSLSSLLLCHSA.
953.48/127.39	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
953.48/127.39	# Starting ho_unfolding_5 with 720s (4) cores
953.48/127.39	# Starting pre_casc_3 with 180s (1) cores
953.48/127.39	# Starting new_ho_10_cnf2 with 180s (1) cores
953.48/127.39	# Starting full_lambda_10 with 180s (1) cores
953.48/127.39	# Starting ehoh_best_nonlift_rwall with 180s (1) cores
953.48/127.39	# ho_unfolding_5 with pid 18744 completed with status 0
953.48/127.39	# Result found by ho_unfolding_5
953.48/127.39	# Preprocessing class: HSLMSLSSLLLCHSA.
953.48/127.39	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
953.48/127.39	# Starting ho_unfolding_5 with 720s (4) cores
953.48/127.39	# No SInE strategy applied
953.48/127.39	# Search class: HGHSM-FSLM31-MHSMMSBN
953.48/127.39	# Scheduled 6 strats onto 4 cores with 720 seconds (720 total)
953.48/127.39	# Starting new_ho_10_cnf2 with 376s (1) cores
953.48/127.39	# Starting ho_unfolding_5 with 73s (1) cores
953.48/127.39	# Starting new_bool_3 with 65s (1) cores
953.48/127.39	# Starting ho_unfolding_7 with 65s (1) cores
953.48/127.39	# new_bool_3 with pid 18755 completed with status 7
953.48/127.39	# Starting ehoh_best_nonlift_rwall with 65s (1) cores
953.48/127.39	# ho_unfolding_7 with pid 18756 completed with status 7
953.48/127.39	# Starting pre_casc_3 with 76s (1) cores
953.48/127.39	# ho_unfolding_5 with pid 18754 completed with status 7
953.48/127.39	# new_ho_10_cnf2 with pid 18753 completed with status 0
953.48/127.39	# Result found by new_ho_10_cnf2
953.48/127.39	# Preprocessing class: HSLMSLSSLLLCHSA.
953.48/127.39	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
953.48/127.39	# Starting ho_unfolding_5 with 720s (4) cores
953.48/127.39	# No SInE strategy applied
953.48/127.39	# Search class: HGHSM-FSLM31-MHSMMSBN
953.48/127.39	# Scheduled 6 strats onto 4 cores with 720 seconds (720 total)
953.48/127.39	# Starting new_ho_10_cnf2 with 376s (1) cores
953.48/127.39	# Preprocessing time       : 0.005 s
953.48/127.39	# Presaturation interreduction done
953.48/127.39	
953.48/127.39	# Proof found!
953.48/127.39	# SZS status Theorem
953.48/127.39	# SZS output start CNFRefutation
953.48/127.39	thf(decl_22, type, in: $i > $i > $o).
953.48/127.39	thf(decl_23, type, exu: ($i > $o) > $o).
953.48/127.39	thf(decl_24, type, setextAx: $o).
953.48/127.39	thf(decl_25, type, emptyset: $i).
953.48/127.39	thf(decl_26, type, emptysetAx: $o).
953.48/127.39	thf(decl_27, type, setadjoin: $i > $i > $i).
953.48/127.39	thf(decl_28, type, setadjoinAx: $o).
953.48/127.39	thf(decl_29, type, powerset: $i > $i).
953.48/127.39	thf(decl_30, type, powersetAx: $o).
953.48/127.39	thf(decl_31, type, setunion: $i > $i).
953.48/127.39	thf(decl_32, type, setunionAx: $o).
953.48/127.39	thf(decl_33, type, omega: $i).
953.48/127.39	thf(decl_34, type, omega0Ax: $o).
953.48/127.39	thf(decl_35, type, omegaSAx: $o).
953.48/127.39	thf(decl_36, type, omegaIndAx: $o).
953.48/127.39	thf(decl_37, type, replAx: $o).
953.48/127.39	thf(decl_38, type, foundationAx: $o).
953.48/127.39	thf(decl_39, type, wellorderingAx: $o).
953.48/127.39	thf(decl_40, type, descr: ($i > $o) > $i).
953.48/127.39	thf(decl_41, type, descrp: $o).
953.48/127.39	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_43, type, dsetconstrI: $o).
953.48/127.39	thf(decl_44, type, dsetconstrEL: $o).
953.48/127.39	thf(decl_45, type, dsetconstrER: $o).
953.48/127.39	thf(decl_46, type, exuE1: $o).
953.48/127.39	thf(decl_47, type, prop2set: $o > $i).
953.48/127.39	thf(decl_48, type, prop2setE: $o).
953.48/127.39	thf(decl_49, type, emptysetE: $o).
953.48/127.39	thf(decl_50, type, emptysetimpfalse: $o).
953.48/127.39	thf(decl_51, type, notinemptyset: $o).
953.48/127.39	thf(decl_52, type, exuE3e: $o).
953.48/127.39	thf(decl_53, type, setext: $o).
953.48/127.39	thf(decl_54, type, emptyI: $o).
953.48/127.39	thf(decl_55, type, noeltsimpempty: $o).
953.48/127.39	thf(decl_56, type, setbeta: $o).
953.48/127.39	thf(decl_57, type, nonempty: $i > $o).
953.48/127.39	thf(decl_58, type, nonemptyE1: $o).
953.48/127.39	thf(decl_59, type, nonemptyI: $o).
953.48/127.39	thf(decl_60, type, nonemptyI1: $o).
953.48/127.39	thf(decl_61, type, setadjoinIL: $o).
953.48/127.39	thf(decl_62, type, emptyinunitempty: $o).
953.48/127.39	thf(decl_63, type, setadjoinIR: $o).
953.48/127.39	thf(decl_64, type, setadjoinE: $o).
953.48/127.39	thf(decl_65, type, setadjoinOr: $o).
953.48/127.39	thf(decl_66, type, setoftrueEq: $o).
953.48/127.39	thf(decl_67, type, powersetI: $o).
953.48/127.39	thf(decl_68, type, emptyinPowerset: $o).
953.48/127.39	thf(decl_69, type, emptyInPowerset: $o).
953.48/127.39	thf(decl_70, type, powersetE: $o).
953.48/127.39	thf(decl_71, type, setunionI: $o).
953.48/127.39	thf(decl_72, type, setunionE: $o).
953.48/127.39	thf(decl_73, type, subPowSU: $o).
953.48/127.39	thf(decl_74, type, exuE2: $o).
953.48/127.39	thf(decl_75, type, nonemptyImpWitness: $o).
953.48/127.39	thf(decl_76, type, uniqinunit: $o).
953.48/127.39	thf(decl_77, type, notinsingleton: $o).
953.48/127.39	thf(decl_78, type, eqinunit: $o).
953.48/127.39	thf(decl_79, type, singletonsswitch: $o).
953.48/127.39	thf(decl_80, type, upairsetE: $o).
953.48/127.39	thf(decl_81, type, upairsetIL: $o).
953.48/127.39	thf(decl_82, type, upairsetIR: $o).
953.48/127.39	thf(decl_83, type, emptyE1: $o).
953.48/127.39	thf(decl_84, type, vacuousDall: $o).
953.48/127.39	thf(decl_85, type, quantDeMorgan1: $o).
953.48/127.39	thf(decl_86, type, quantDeMorgan2: $o).
953.48/127.39	thf(decl_87, type, quantDeMorgan3: $o).
953.48/127.39	thf(decl_88, type, quantDeMorgan4: $o).
953.48/127.39	thf(decl_89, type, prop2setI: $o).
953.48/127.39	thf(decl_90, type, set2prop: $i > $o).
953.48/127.39	thf(decl_91, type, prop2set2propI: $o).
953.48/127.39	thf(decl_92, type, notdexE: $o).
953.48/127.39	thf(decl_93, type, notdallE: $o).
953.48/127.39	thf(decl_94, type, exuI1: $o).
953.48/127.39	thf(decl_95, type, exuI3: $o).
953.48/127.39	thf(decl_96, type, exuI2: $o).
953.48/127.39	thf(decl_97, type, inCongP: $o).
953.48/127.39	thf(decl_98, type, in__Cong: $o).
953.48/127.39	thf(decl_99, type, exuE3u: $o).
953.48/127.39	thf(decl_100, type, exu__Cong: $o).
953.48/127.39	thf(decl_101, type, emptyset__Cong: $o).
953.48/127.39	thf(decl_102, type, setadjoin__Cong: $o).
953.48/127.39	thf(decl_103, type, powerset__Cong: $o).
953.48/127.39	thf(decl_104, type, setunion__Cong: $o).
953.48/127.39	thf(decl_105, type, omega__Cong: $o).
953.48/127.39	thf(decl_106, type, exuEu: $o).
953.48/127.39	thf(decl_107, type, descr__Cong: $o).
953.48/127.39	thf(decl_108, type, dsetconstr__Cong: $o).
953.48/127.39	thf(decl_109, type, subset: $i > $i > $o).
953.48/127.39	thf(decl_112, type, subsetI1: $o).
953.48/127.39	thf(decl_113, type, eqimpsubset2: $o).
953.48/127.39	thf(decl_114, type, eqimpsubset1: $o).
953.48/127.39	thf(decl_115, type, subsetI2: $o).
953.48/127.39	thf(decl_116, type, emptysetsubset: $o).
953.48/127.39	thf(decl_117, type, subsetE: $o).
953.48/127.39	thf(decl_118, type, subsetE2: $o).
953.48/127.39	thf(decl_119, type, notsubsetI: $o).
953.48/127.39	thf(decl_120, type, notequalI1: $o).
953.48/127.39	thf(decl_121, type, notequalI2: $o).
953.48/127.39	thf(decl_122, type, subsetRefl: $o).
953.48/127.39	thf(decl_123, type, subsetTrans: $o).
953.48/127.39	thf(decl_124, type, setadjoinSub: $o).
953.48/127.39	thf(decl_125, type, setadjoinSub2: $o).
953.48/127.39	thf(decl_126, type, subset2powerset: $o).
953.48/127.39	thf(decl_127, type, setextsub: $o).
953.48/127.39	thf(decl_128, type, subsetemptysetimpeq: $o).
953.48/127.39	thf(decl_129, type, powersetI1: $o).
953.48/127.39	thf(decl_130, type, powersetE1: $o).
953.48/127.39	thf(decl_131, type, inPowerset: $o).
953.48/127.39	thf(decl_132, type, powersetsubset: $o).
953.48/127.39	thf(decl_133, type, sepInPowerset: $o).
953.48/127.39	thf(decl_134, type, sepSubset: $o).
953.48/127.39	thf(decl_135, type, binunion: $i > $i > $i).
953.48/127.39	thf(decl_136, type, binunionIL: $o).
953.48/127.39	thf(decl_137, type, upairset2IR: $o).
953.48/127.39	thf(decl_138, type, binunionIR: $o).
953.48/127.39	thf(decl_139, type, binunionEcases: $o).
953.48/127.39	thf(decl_140, type, binunionE: $o).
953.48/127.39	thf(decl_141, type, binunionLsub: $o).
953.48/127.39	thf(decl_142, type, binunionRsub: $o).
953.48/127.39	thf(decl_143, type, binintersect: $i > $i > $i).
953.48/127.39	thf(decl_144, type, binintersectI: $o).
953.48/127.39	thf(decl_145, type, binintersectSubset5: $o).
953.48/127.39	thf(decl_146, type, binintersectEL: $o).
953.48/127.39	thf(decl_147, type, binintersectLsub: $o).
953.48/127.39	thf(decl_148, type, binintersectSubset2: $o).
953.48/127.39	thf(decl_149, type, binintersectSubset3: $o).
953.48/127.39	thf(decl_150, type, binintersectER: $o).
953.48/127.39	thf(decl_151, type, disjointsetsI1: $o).
953.48/127.39	thf(decl_152, type, binintersectRsub: $o).
953.48/127.39	thf(decl_153, type, binintersectSubset4: $o).
953.48/127.39	thf(decl_154, type, binintersectSubset1: $o).
953.48/127.39	thf(decl_155, type, bs114d: $o).
953.48/127.39	thf(decl_157, type, setminus: $i > $i > $i).
953.48/127.39	thf(decl_158, type, setminusI: $o).
953.48/127.39	thf(decl_159, type, setminusEL: $o).
953.48/127.39	thf(decl_160, type, setminusER: $o).
953.48/127.39	thf(decl_161, type, setminusSubset2: $o).
953.48/127.39	thf(decl_162, type, setminusERneg: $o).
953.48/127.39	thf(decl_163, type, setminusELneg: $o).
953.48/127.39	thf(decl_164, type, setminusILneg: $o).
953.48/127.39	thf(decl_165, type, setminusIRneg: $o).
953.48/127.39	thf(decl_166, type, setminusLsub: $o).
953.48/127.39	thf(decl_167, type, setminusSubset1: $o).
953.48/127.39	thf(decl_168, type, symdiff: $i > $i > $i).
953.48/127.39	thf(decl_169, type, symdiffE: $o).
953.48/127.39	thf(decl_170, type, symdiffI1: $o).
953.48/127.39	thf(decl_171, type, symdiffI2: $o).
953.48/127.39	thf(decl_172, type, symdiffIneg1: $o).
953.48/127.39	thf(decl_173, type, symdiffIneg2: $o).
953.48/127.39	thf(decl_174, type, iskpair: $i > $o).
953.48/127.39	thf(decl_175, type, secondinupair: $o).
953.48/127.39	thf(decl_176, type, setukpairIL: $o).
953.48/127.39	thf(decl_177, type, setukpairIR: $o).
953.48/127.39	thf(decl_178, type, kpairiskpair: $o).
953.48/127.39	thf(decl_179, type, kpair: $i > $i > $i).
953.48/127.39	thf(decl_180, type, kpairp: $o).
953.48/127.39	thf(decl_181, type, cartprod: $i > $i > $i).
953.48/127.39	thf(decl_182, type, singletonsubset: $o).
953.48/127.39	thf(decl_183, type, singletoninpowerset: $o).
953.48/127.39	thf(decl_184, type, singletoninpowunion: $o).
953.48/127.39	thf(decl_185, type, upairset2E: $o).
953.48/127.39	thf(decl_186, type, upairsubunion: $o).
953.48/127.39	thf(decl_187, type, upairinpowunion: $o).
953.48/127.39	thf(decl_188, type, ubforcartprodlem1: $o).
953.48/127.39	thf(decl_189, type, ubforcartprodlem2: $o).
953.48/127.39	thf(decl_190, type, ubforcartprodlem3: $o).
953.48/127.39	thf(decl_191, type, cartprodpairin: $o).
953.48/127.39	thf(decl_192, type, cartprodmempair1: $o).
953.48/127.39	thf(decl_193, type, cartprodmempair: $o).
953.48/127.39	thf(decl_194, type, setunionE2: $o).
953.48/127.39	thf(decl_195, type, setunionsingleton1: $o).
953.48/127.39	thf(decl_196, type, setunionsingleton2: $o).
953.48/127.39	thf(decl_197, type, setunionsingleton: $o).
953.48/127.39	thf(decl_198, type, singleton: $i > $o).
953.48/127.39	thf(decl_199, type, singletonprop: $o).
953.48/127.39	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
953.48/127.39	thf(decl_201, type, ex1E1: $o).
953.48/127.39	thf(decl_202, type, ex1I: $o).
953.48/127.39	thf(decl_203, type, ex1I2: $o).
953.48/127.39	thf(decl_204, type, singletonsuniq: $o).
953.48/127.39	thf(decl_209, type, setukpairinjL1: $o).
953.48/127.39	thf(decl_210, type, kfstsingleton: $o).
953.48/127.39	thf(decl_211, type, theprop: $o).
953.48/127.39	thf(decl_212, type, kfst: $i > $i).
953.48/127.39	thf(decl_213, type, kfstpairEq: $o).
953.48/127.39	thf(decl_214, type, cartprodfstin: $o).
953.48/127.39	thf(decl_215, type, setukpairinjL2: $o).
953.48/127.39	thf(decl_216, type, setukpairinjL: $o).
953.48/127.39	thf(decl_217, type, setukpairinjR11: $o).
953.48/127.39	thf(decl_218, type, setukpairinjR12: $o).
953.48/127.39	thf(decl_219, type, setukpairinjR1: $o).
953.48/127.39	thf(decl_220, type, upairequniteq: $o).
953.48/127.39	thf(decl_221, type, setukpairinjR2: $o).
953.48/127.39	thf(decl_222, type, setukpairinjR: $o).
953.48/127.39	thf(decl_223, type, epred1_0: $o).
953.48/127.39	thf(decl_224, type, esk1_2: $i > $i > $i).
953.48/127.39	thf(decl_225, type, esk2_2: $i > $i > $i).
953.48/127.39	thf(decl_226, type, esk3_2: $i > $i > $i).
953.48/127.39	thf(decl_227, type, esk4_1: $i > $i).
953.48/127.39	thf(decl_228, type, esk5_2: ($i > $i > $o) > $i > $i).
953.48/127.39	thf(decl_229, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
953.48/127.39	thf(decl_230, type, esk7_2: ($i > $i > $o) > $i > $i).
953.48/127.39	thf(decl_231, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
953.48/127.39	thf(decl_232, type, esk9_1: $i > $i).
953.48/127.39	thf(decl_233, type, esk10_2: ($i > $o) > $i > $i).
953.48/127.39	thf(decl_234, type, esk11_2: ($i > $o) > $i > $i).
953.48/127.39	thf(decl_235, type, esk12_1: ($i > $o) > $i).
953.48/127.39	thf(decl_236, type, esk13_2: ($i > $o) > $i > $i).
953.48/127.39	thf(decl_237, type, esk14_1: ($i > $o) > $i).
953.48/127.39	thf(decl_238, type, esk15_2: $i > $i > $i).
953.48/127.39	thf(decl_239, type, esk16_2: $i > $i > $i).
953.48/127.39	thf(decl_240, type, esk17_1: $i > $i).
953.48/127.39	thf(decl_241, type, esk18_1: $i > $i).
953.48/127.39	thf(decl_242, type, esk19_1: $i > $i).
953.48/127.39	thf(decl_243, type, esk20_2: $i > $i > $i).
953.48/127.39	thf(decl_244, type, esk21_3: $i > $i > $o > $i).
953.48/127.39	thf(decl_245, type, esk22_2: ($i > $o) > $i > $i).
953.48/127.39	thf(decl_246, type, esk23_1: ($i > $o) > $i).
953.48/127.39	thf(decl_247, type, esk24_1: $i > $i).
953.48/127.39	thf(decl_248, type, esk25_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_249, type, esk26_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_250, type, esk27_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_251, type, esk28_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_252, type, esk29_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_253, type, esk30_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_254, type, esk31_2: ($i > $o) > $i > $i).
953.48/127.39	thf(decl_255, type, esk32_1: ($i > $o) > $i).
953.48/127.39	thf(decl_256, type, esk33_1: ($i > $o) > $i).
953.48/127.39	thf(decl_257, type, esk34_1: ($i > $o) > $i).
953.48/127.39	thf(decl_258, type, esk35_1: ($i > $o) > $i).
953.48/127.39	thf(decl_259, type, esk36_2: ($i > $o) > $i > $i).
953.48/127.39	thf(decl_260, type, esk37_1: ($i > $o) > $i).
953.48/127.39	thf(decl_261, type, esk38_2: ($i > $o) > $i > $i).
953.48/127.39	thf(decl_262, type, esk39_2: ($i > $o) > ($i > $o) > $i).
953.48/127.39	thf(decl_263, type, esk40_2: ($i > $o) > ($i > $o) > $i).
953.48/127.39	thf(decl_264, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
953.48/127.39	thf(decl_265, type, esk42_2: ($i > $o) > ($i > $o) > $i).
953.48/127.39	thf(decl_266, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
953.48/127.39	thf(decl_267, type, esk44_2: ($i > $o) > ($i > $o) > $i).
953.48/127.39	thf(decl_268, type, esk45_2: ($i > $o) > $i > $i).
953.48/127.39	thf(decl_269, type, esk46_2: ($i > $o) > ($i > $o) > $i).
953.48/127.39	thf(decl_270, type, esk47_2: ($i > $o) > ($i > $o) > $i).
953.48/127.39	thf(decl_271, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
953.48/127.39	thf(decl_272, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
953.48/127.39	thf(decl_273, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
953.48/127.39	thf(decl_274, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
953.48/127.39	thf(decl_275, type, esk52_2: $i > $i > $i).
953.48/127.39	thf(decl_276, type, esk53_2: $i > $i > $i).
953.48/127.39	thf(decl_277, type, esk54_2: $i > $i > $i).
953.48/127.39	thf(decl_278, type, esk55_2: $i > $i > $i).
953.48/127.39	thf(decl_279, type, esk56_2: $i > $i > $i).
953.48/127.39	thf(decl_280, type, esk57_2: $i > $i > $i).
953.48/127.39	thf(decl_281, type, esk58_2: $i > $i > $i).
953.48/127.39	thf(decl_282, type, esk59_3: $i > $i > $i > $i).
953.48/127.39	thf(decl_283, type, esk60_3: $i > $i > $i > $i).
953.48/127.39	thf(decl_284, type, esk61_3: $i > $i > $i > $i).
953.48/127.39	thf(decl_285, type, esk62_3: $i > $i > $i > $i).
953.48/127.39	thf(decl_286, type, esk63_2: $i > $i > $i).
953.48/127.39	thf(decl_287, type, esk64_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_288, type, esk65_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_289, type, esk66_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_290, type, esk67_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_291, type, esk68_3: $i > ($i > $o) > $i > $i).
953.48/127.39	thf(decl_292, type, esk69_3: $i > ($i > $o) > $i > $i).
953.48/127.39	thf(decl_293, type, esk70_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_294, type, esk71_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_295, type, esk72_2: $i > ($i > $o) > $i).
953.48/127.39	thf(decl_296, type, esk73_1: $i > $i).
953.48/127.39	thf(decl_297, type, esk74_0: $i).
953.48/127.39	thf(decl_298, type, esk75_0: $i).
953.48/127.39	thf(decl_299, type, esk76_0: $i).
953.48/127.39	thf(decl_305, type, epred2_0: $i > $o).
953.48/127.39	thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', ex1)).
953.48/127.39	thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:(((in @ X2 @ X4)&((X4)=(setadjoin @ X2 @ emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', singleton)).
953.48/127.39	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', replAx)).
953.48/127.39	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', exu)).
953.48/127.39	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', descrp)).
953.48/127.39	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', exuE1)).
953.48/127.39	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', exuE3e)).
953.48/127.39	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', nonempty)).
953.48/127.39	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', nonemptyI)).
953.48/127.39	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', exuE2)).
953.48/127.39	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', exuI1)).
953.48/127.39	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', exuI3)).
953.48/127.39	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', exuI2)).
953.48/127.39	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', exuE3u)).
953.48/127.39	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', exu__Cong)).
953.48/127.39	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', exuEu)).
953.48/127.39	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', descr__Cong)).
953.48/127.39	thf(iskpair, axiom, ((iskpair)=(^[X4:$i]:(?[X2:$i]:(((in @ X2 @ (setunion @ X4))&?[X3:$i]:(((in @ X3 @ (setunion @ X4))&((X4)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', iskpair)).
953.48/127.39	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', singletonprop)).
953.48/127.39	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', ex1E1)).
953.48/127.39	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', ex1I)).
953.48/127.39	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', ex1I2)).
953.48/127.39	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', kfstsingleton)).
953.48/127.39	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', dsetconstrI)).
953.48/127.39	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', dsetconstrEL)).
953.48/127.39	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', dsetconstrER)).
953.48/127.39	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setbeta)).
953.48/127.39	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', nonemptyE1)).
953.48/127.39	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', nonemptyI1)).
953.48/127.39	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setoftrueEq)).
953.48/127.39	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', nonemptyImpWitness)).
953.48/127.39	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', emptyE1)).
953.48/127.39	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', dsetconstr__Cong)).
953.48/127.39	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', sepInPowerset)).
953.48/127.39	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', sepSubset)).
953.48/127.39	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', kpairiskpair)).
953.48/127.39	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', kpairp)).
953.48/127.39	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', cartprodmempair)).
953.48/127.39	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', theprop)).
953.48/127.39	thf(ksndsingleton, conjecture, ((((setadjoinAx)=>((powersetAx)=>((((omegaSAx)=>(((((wellorderingAx)=>(((((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((((exuE3e)=>(((emptyI)=>(((setbeta)=>(((nonemptyI)=>(((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>(((setadjoinOr)=>((setoftrueEq)=>((((emptyInPowerset)=>(((((subPowSU)=>((((((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((((((quantDeMorgan3)=>((quantDeMorgan4)=>(((prop2set2propI)=>(((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>(((((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>(((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>(((((subsetE2)=>((notsubsetI)=>((notequalI1)=>(((subsetRefl)=>((((((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>(((inPowerset)=>(((((binunionIL)=>((upairset2IR)=>(((binunionEcases)=>(((binunionLsub)=>((binunionRsub)=>(((((binintersectLsub)=>(((binintersectSubset3)=>(((disjointsetsI1)=>((binintersectRsub)=>(((binintersectSubset1)=>(((setminusI)=>((setminusEL)=>(((((setminusELneg)=>(((setminusIRneg)=>(((setminusSubset1)=>(((symdiffI1)=>((symdiffI2)=>((((secondinupair)=>((setukpairIL)=>(((kpairiskpair)=>((kpairp)=>((((((upairsubunion)=>((upairinpowunion)=>((ubforcartprodlem1)=>(((ubforcartprodlem3)=>((cartprodpairin)=>((((((setunionsingleton2)=>((((ex1E1)=>((((singletonsuniq)=>((setukpairinjL1)=>(((theprop)=>((kfstpairEq)=>((cartprodfstin)=>(((setukpairinjL)=>(((((upairequniteq)=>((setukpairinjR2)=>(![X18:$i]:(((singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))<=(iskpair @ X18)))<=(setukpairinjR))))<=(setukpairinjR1))<=(setukpairinjR12))<=(setukpairinjR11)))<=(setukpairinjL2)))))<=(kfstsingleton))))<=(ex1I2))<=(ex1I)))<=(singletonprop))<=(setunionsingleton)))<=(setunionsingleton1))<=(setunionE2))<=(cartprodmempair))<=(cartprodmempair1))))<=(ubforcartprodlem2)))))<=(upairset2E))<=(singletoninpowunion))<=(singletoninpowerset))<=(singletonsubset))))<=(setukpairIR))))<=(symdiffIneg2))<=(symdiffIneg1))))<=(symdiffE)))<=(setminusLsub)))<=(setminusILneg)))<=(setminusERneg))<=(setminusSubset2))<=(setminusER))))<=(bs114d)))<=(binintersectSubset4))))<=(binintersectER)))<=(binintersectSubset2)))<=(binintersectEL))<=(binintersectSubset5))<=(binintersectI))))<=(binunionE)))<=(binunionIR))))<=(sepSubset))<=(sepInPowerset))<=(powersetsubset)))<=(powersetE1)))))<=(subset2powerset))<=(setadjoinSub2))<=(setadjoinSub))<=(subsetTrans)))<=(notequalI2)))))<=(subsetE))<=(emptysetsubset))<=(subsetI2)))))<=(dsetconstr__Cong))))))<=(powerset__Cong))<=(setadjoin__Cong))<=(emptyset__Cong))))))))))<=(notdexE)))<=(prop2setI))))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall))<=(emptyE1)))))))<=(notinsingleton))<=(uniqinunit))<=(nonemptyImpWitness))<=(exuE2)))<=(setunionE))<=(setunionI))<=(powersetE)))<=(emptyinPowerset))<=(powersetI))))<=(setadjoinE)))))<=(nonemptyI1)))<=(nonemptyE1)))<=(noeltsimpempty)))<=(setext)))<=(notinemptyset))<=(emptysetimpfalse))))))<=(dsetconstrEL))<=(dsetconstrI))<=(descrp)))<=(foundationAx))<=(replAx))<=(omegaIndAx)))<=(omega0Ax))<=(setunionAx))))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', ksndsingleton)).
953.48/127.39	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setextAx)).
953.48/127.39	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', emptysetAx)).
953.48/127.39	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setadjoinAx)).
953.48/127.39	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', powersetAx)).
953.48/127.39	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setunionAx)).
953.48/127.39	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', omega0Ax)).
953.48/127.39	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', omegaSAx)).
953.48/127.39	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', omegaIndAx)).
953.48/127.39	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', foundationAx)).
953.48/127.39	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', wellorderingAx)).
953.48/127.39	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', prop2setE)).
953.48/127.39	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', emptysetE)).
953.48/127.39	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', emptysetimpfalse)).
953.48/127.39	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', notinemptyset)).
953.48/127.39	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setext)).
953.48/127.39	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', emptyI)).
953.48/127.39	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', noeltsimpempty)).
953.48/127.39	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setadjoinIL)).
953.48/127.39	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', emptyinunitempty)).
953.48/127.39	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setadjoinIR)).
953.48/127.39	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setadjoinE)).
953.48/127.39	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setadjoinOr)).
953.48/127.39	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', powersetI)).
953.48/127.39	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', emptyinPowerset)).
953.48/127.39	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', emptyInPowerset)).
953.48/127.39	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', powersetE)).
953.48/127.39	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setunionI)).
953.48/127.39	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setunionE)).
953.48/127.39	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', subPowSU)).
953.48/127.39	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', uniqinunit)).
953.48/127.39	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', notinsingleton)).
953.48/127.39	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', eqinunit)).
953.48/127.39	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', singletonsswitch)).
953.48/127.39	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', upairsetE)).
953.48/127.39	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', upairsetIL)).
953.48/127.39	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', upairsetIR)).
953.48/127.39	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', vacuousDall)).
953.48/127.39	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', quantDeMorgan1)).
953.48/127.39	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', quantDeMorgan2)).
953.48/127.39	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', quantDeMorgan3)).
953.48/127.39	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', quantDeMorgan4)).
953.48/127.39	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', prop2setI)).
953.48/127.39	thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', prop2set2propI)).
953.48/127.39	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', notdexE)).
953.48/127.39	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', notdallE)).
953.48/127.39	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', inCongP)).
953.48/127.39	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', in__Cong)).
953.48/127.39	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', emptyset__Cong)).
953.48/127.39	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setadjoin__Cong)).
953.48/127.39	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', powerset__Cong)).
953.48/127.39	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setunion__Cong)).
953.48/127.39	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', omega__Cong)).
953.48/127.39	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', subsetI1)).
953.48/127.39	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', eqimpsubset2)).
953.48/127.39	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', eqimpsubset1)).
953.48/127.39	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', subsetI2)).
953.48/127.39	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', emptysetsubset)).
953.48/127.39	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', subsetE)).
953.48/127.39	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', subsetE2)).
953.48/127.39	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', notsubsetI)).
953.48/127.39	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', notequalI1)).
953.48/127.39	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', notequalI2)).
953.48/127.39	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', subsetRefl)).
953.48/127.39	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', subsetTrans)).
953.48/127.39	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setadjoinSub)).
953.48/127.39	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setadjoinSub2)).
953.48/127.39	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', subset2powerset)).
953.48/127.39	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setextsub)).
953.48/127.39	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', subsetemptysetimpeq)).
953.48/127.39	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', powersetI1)).
953.48/127.39	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', powersetE1)).
953.48/127.39	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', inPowerset)).
953.48/127.39	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', powersetsubset)).
953.48/127.39	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binunionIL)).
953.48/127.39	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', upairset2IR)).
953.48/127.39	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binunionIR)).
953.48/127.39	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binunionEcases)).
953.48/127.39	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binunionE)).
953.48/127.39	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binunionLsub)).
953.48/127.39	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binunionRsub)).
953.48/127.39	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binintersectI)).
953.48/127.39	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binintersectSubset5)).
953.48/127.39	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binintersectEL)).
953.48/127.39	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binintersectLsub)).
953.48/127.39	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binintersectSubset2)).
953.48/127.39	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binintersectSubset3)).
953.48/127.39	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binintersectER)).
953.48/127.39	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', disjointsetsI1)).
953.48/127.39	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binintersectRsub)).
953.48/127.39	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binintersectSubset4)).
953.48/127.39	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', binintersectSubset1)).
953.48/127.39	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', bs114d)).
953.48/127.39	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setminusI)).
953.48/127.39	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setminusEL)).
953.48/127.39	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setminusER)).
953.48/127.39	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setminusSubset2)).
953.48/127.39	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setminusERneg)).
953.48/127.39	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setminusELneg)).
953.48/127.39	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setminusILneg)).
953.48/127.39	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setminusIRneg)).
953.48/127.39	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setminusLsub)).
953.48/127.39	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setminusSubset1)).
953.48/127.39	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', symdiffE)).
953.48/127.39	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', symdiffI1)).
953.48/127.39	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', symdiffI2)).
953.48/127.39	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', symdiffIneg1)).
953.48/127.39	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', symdiffIneg2)).
953.48/127.39	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', secondinupair)).
953.48/127.39	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setukpairIL)).
953.48/127.39	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setukpairIR)).
953.48/127.39	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', singletonsubset)).
953.48/127.39	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', singletoninpowerset)).
953.48/127.39	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', singletoninpowunion)).
953.48/127.39	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', upairset2E)).
953.48/127.39	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', upairsubunion)).
953.48/127.39	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', upairinpowunion)).
953.48/127.39	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', ubforcartprodlem1)).
953.48/127.39	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', ubforcartprodlem2)).
953.48/127.39	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', ubforcartprodlem3)).
953.48/127.39	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', cartprodpairin)).
953.48/127.39	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', cartprodmempair1)).
953.48/127.39	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setunionE2)).
953.48/127.39	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setunionsingleton1)).
953.48/127.39	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setunionsingleton2)).
953.48/127.39	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setunionsingleton)).
953.48/127.39	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', singletonsuniq)).
953.48/127.39	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setukpairinjL1)).
953.48/127.39	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', kfstpairEq)).
953.48/127.39	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', cartprodfstin)).
953.48/127.39	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setukpairinjL2)).
953.48/127.39	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setukpairinjL)).
953.48/127.39	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setukpairinjR11)).
953.48/127.39	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setukpairinjR12)).
953.48/127.39	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setukpairinjR1)).
953.48/127.39	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', upairequniteq)).
953.48/127.39	thf(setukpairinjR2, axiom, ((setukpairinjR2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setukpairinjR2)).
953.48/127.39	thf(setukpairinjR, axiom, ((setukpairinjR)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X3)=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', setukpairinjR)).
953.48/127.39	thf(kpair, axiom, ((kpair)=(^[X2:$i, X3:$i]:(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.6ttLKznBeF/Vampire---4.8_18565', kpair)).
953.48/127.39	thf(c_0_178, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X526:$i]:(((in @ X526 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X526 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[ex1])).
953.48/127.39	thf(c_0_179, plain, ((singleton)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&((Z0)=(setadjoin @ X2 @ emptyset))))))), inference(fof_simplification,[status(thm)],[singleton])).
953.48/127.39	thf(c_0_180, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
953.48/127.39	thf(c_0_181, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
953.48/127.39	thf(c_0_182, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
953.48/127.39	thf(c_0_183, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
953.48/127.39	thf(c_0_184, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
953.48/127.39	thf(c_0_185, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
953.48/127.39	thf(c_0_186, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
953.48/127.39	thf(c_0_187, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
953.48/127.39	thf(c_0_188, 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])).
953.48/127.39	thf(c_0_189, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
953.48/127.39	thf(c_0_190, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
953.48/127.39	thf(c_0_191, 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])).
953.48/127.39	thf(c_0_192, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
953.48/127.39	thf(c_0_193, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
953.48/127.39	thf(c_0_194, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
953.48/127.39	thf(c_0_195, plain, ((iskpair)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ (setunion @ Z0))&?[X3:$i]:(((in @ X3 @ (setunion @ Z0))&((Z0)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))), inference(fof_simplification,[status(thm)],[iskpair])).
953.48/127.39	thf(c_0_196, 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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
953.48/127.39	thf(c_0_197, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
953.48/127.39	thf(c_0_198, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X526:$i]:(((in @ X526 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X526 @ emptyset)))))))), inference(apply_def,[status(thm)],[c_0_178, c_0_179])).
953.48/127.39	thf(c_0_199, 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])).
953.48/127.39	thf(c_0_200, 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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
953.48/127.39	thf(c_0_201, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
953.48/127.39	thf(c_0_202, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X491:$i]:((((X6 @ X2 @ X491))&![X492:$i]:((((X6 @ X2 @ X492))=>((X491)=(X492)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_180, c_0_181])).
953.48/127.39	thf(c_0_203, plain, ((descrp)=(![X1:$i > $o]:(((?[X493:$i]:((((X1 @ X493))&![X494:$i]:((((X1 @ X494))=>((X493)=(X494)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_182, c_0_181])).
953.48/127.39	thf(c_0_204, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
953.48/127.39	thf(c_0_205, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
953.48/127.39	thf(c_0_206, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
953.48/127.39	thf(c_0_207, plain, ((exuE1)=(![X1:$i > $o]:(((?[X495:$i]:((((X1 @ X495))&![X496:$i]:((((X1 @ X496))=>((X495)=(X496)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_183, c_0_181])).
953.48/127.39	thf(c_0_208, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X497:$i]:((((X1 @ X497))&![X498:$i]:((((X1 @ X498))=>((X497)=(X498)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_184, c_0_181])).
953.48/127.39	thf(c_0_209, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
953.48/127.39	thf(c_0_210, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_185])).
953.48/127.39	thf(c_0_211, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_186, c_0_185])).
953.48/127.39	thf(c_0_212, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_185])).
953.48/127.39	thf(c_0_213, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
953.48/127.39	thf(c_0_214, plain, ((exuE2)=(![X1:$i > $o]:(((?[X499:$i]:((((X1 @ X499))&![X500:$i]:((((X1 @ X500))=>((X499)=(X500)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_187, c_0_181])).
953.48/127.39	thf(c_0_215, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_185])).
953.48/127.39	thf(c_0_216, 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])).
953.48/127.39	thf(c_0_217, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X501:$i]:((((X1 @ X501))&![X502:$i]:((((X1 @ X502))=>((X501)=(X502))))))))))), inference(apply_def,[status(thm)],[c_0_188, c_0_181])).
953.48/127.39	thf(c_0_218, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X503:$i]:((((X1 @ X503))&![X504:$i]:((((X1 @ X504))=>((X503)=(X504)))))))))))), inference(apply_def,[status(thm)],[c_0_189, c_0_181])).
953.48/127.39	thf(c_0_219, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X505:$i]:((((X1 @ X505))&![X506:$i]:((((X1 @ X506))=>((X505)=(X506))))))))))), inference(apply_def,[status(thm)],[c_0_190, c_0_181])).
953.48/127.39	thf(c_0_220, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X507:$i]:((((X1 @ X507))&![X508:$i]:((((X1 @ X508))=>((X507)=(X508)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_191, c_0_181])).
953.48/127.39	thf(c_0_221, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X509:$i]:((((X1 @ X509))&![X510:$i]:((((X1 @ X510))=>((X509)=(X510)))))))<=>(?[X511:$i]:((((X17 @ X511))&![X512:$i]:((((X17 @ X512))=>((X511)=(X512)))))))))))), inference(apply_def,[status(thm)],[c_0_192, c_0_181])).
953.48/127.39	thf(c_0_222, plain, ((exuEu)=(![X1:$i > $o]:(((?[X513:$i]:((((X1 @ X513))&![X514:$i]:((((X1 @ X514))=>((X513)=(X514)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_193, c_0_181])).
953.48/127.39	thf(c_0_223, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X515:$i]:((((X1 @ X515))&![X516:$i]:((((X1 @ X516))=>((X515)=(X516)))))))=>((?[X517:$i]:((((X17 @ X517))&![X518:$i]:((((X17 @ X518))=>((X517)=(X518)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_194, c_0_181])).
953.48/127.39	thf(c_0_224, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
953.48/127.39	thf(c_0_225, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
953.48/127.39	thf(c_0_226, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
953.48/127.39	thf(c_0_227, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X519:$i]:(((in @ X519 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))&?[X520:$i]:(((in @ X520 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X519 @ emptyset) @ (setadjoin @ (setadjoin @ X519 @ (setadjoin @ X520 @ emptyset)) @ emptyset))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_195])).
953.48/127.39	thf(c_0_228, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X521:$i]:(((in @ X521 @ (setunion @ (kpair @ X2 @ X3)))&?[X522:$i]:(((in @ X522 @ (setunion @ (kpair @ X2 @ X3)))&((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X521 @ emptyset) @ (setadjoin @ (setadjoin @ X521 @ (setadjoin @ X522 @ emptyset)) @ emptyset))))))))))), inference(apply_def,[status(thm)],[kpairp, c_0_195])).
953.48/127.39	thf(c_0_229, axiom, ((cartprodmempair)=(![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(?[X523:$i]:(((in @ X523 @ (setunion @ X18))&?[X524:$i]:(((in @ X524 @ (setunion @ X18))&((X18)=(setadjoin @ (setadjoin @ X523 @ emptyset) @ (setadjoin @ (setadjoin @ X523 @ (setadjoin @ X524 @ emptyset)) @ emptyset)))))))))))), inference(apply_def,[status(thm)],[cartprodmempair, c_0_195])).
953.48/127.39	thf(c_0_230, plain, ((singletonprop)=(![X4:$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)))=>(?[X525:$i]:(((in @ X525 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(setadjoin @ X525 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_196, c_0_179])).
953.48/127.39	thf(c_0_231, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:(((?[X527:$i]:(((in @ X527 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X527 @ emptyset)))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_197, c_0_198])).
953.48/127.39	thf(c_0_232, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(?[X528:$i]:(((in @ X528 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X528 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_199, c_0_198])).
953.48/127.39	thf(c_0_233, 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)))=>(?[X529:$i]:(((in @ X529 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X529 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_200, c_0_198])).
953.48/127.39	thf(c_0_234, plain, ((kfstsingleton)=(![X18:$i]:(((?[X530:$i]:(((in @ X530 @ (setunion @ X18))&?[X531:$i]:(((in @ X531 @ (setunion @ X18))&((X18)=(setadjoin @ (setadjoin @ X530 @ emptyset) @ (setadjoin @ (setadjoin @ X530 @ (setadjoin @ X531 @ emptyset)) @ emptyset))))))))=>(?[X532:$i]:(((in @ X532 @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))&((dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X532 @ emptyset))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_201, c_0_195]), c_0_179])).
953.48/127.39	thf(c_0_235, axiom, ((theprop)=(![X21:$i]:(((?[X533:$i]:(((in @ X533 @ X21)&((X21)=(setadjoin @ X533 @ emptyset)))))=>(in @ (setunion @ X21) @ X21))))), inference(apply_def,[status(thm)],[theprop, c_0_179])).
953.48/127.39	thf(c_0_236, plain, ((epred1_0)<=>![X541:$i]:(?[X542:$i]:((((![X543:$i]:(((in @ X543 @ X542)=>![X544:$i]:(((in @ X544 @ X543)=>(in @ X544 @ X541)))))&![X545:$i, X546:$i]:((((in @ X545 @ X541)&(in @ X546 @ X541))=>(![X547:$i]:(((in @ X547 @ X542)=>((in @ X545 @ X547)<=>(in @ X546 @ X547))))=>((X545)=(X546))))))&![X548:$i, X549:$i]:((((in @ X548 @ X542)&(in @ X549 @ X542))=>(![X550:$i]:(((in @ X550 @ X548)=>(in @ X550 @ X549)))|![X551:$i]:(((in @ X551 @ X549)=>(in @ X551 @ X548)))))))&![X552:$i]:(((![X553:$i]:(((in @ X553 @ X552)=>(in @ X553 @ X541)))&?[X554:$i]:((in @ X554 @ X552)))=>?[X555:$i, X556:$i]:(((((in @ X555 @ X542)&(in @ X556 @ X552))&~(?[X557:$i]:(((in @ X557 @ X555)&(in @ X557 @ X552)))))&![X558:$i]:(((in @ X558 @ X542)=>(![X559:$i]:(((in @ X559 @ X558)=>(in @ X559 @ X555)))|(in @ X556 @ X558)))))))))))), introduced(definition)).
953.48/127.39	thf(c_0_237, negated_conjecture, ~((![X1044:$i, X1045:$i]:((![X1046:$i]:(((in @ X1046 @ X1044)<=>(in @ X1046 @ X1045)))=>((X1044)=(X1045))))=>(![X1043:$i]:(~(in @ X1043 @ emptyset))=>(![X534:$i, X535:$i, X536:$i]:(((in @ X536 @ (setadjoin @ X534 @ X535))<=>(((X536)=(X534))|(in @ X536 @ X535))))=>(![X537:$i, X538:$i]:(((in @ X538 @ (powerset @ X537))<=>![X539:$i]:(((in @ X539 @ X538)=>(in @ X539 @ X537)))))=>(![X1040:$i, X1041:$i]:(((in @ X1041 @ (setunion @ X1040))<=>?[X1042:$i]:(((in @ X1041 @ X1042)&(in @ X1042 @ X1040)))))=>((in @ emptyset @ omega)=>(![X540:$i]:(((in @ X540 @ omega)=>(in @ (setadjoin @ X540 @ X540) @ omega)))=>(![X1037:$i]:((((in @ emptyset @ X1037)&![X1038:$i]:((((in @ X1038 @ omega)&(in @ X1038 @ X1037))=>(in @ (setadjoin @ X1038 @ X1038) @ X1037))))=>![X1039:$i]:(((in @ X1039 @ omega)=>(in @ X1039 @ X1037)))))=>(![X1029:$i > $i > $o, X1030:$i]:((![X1031:$i]:(((in @ X1031 @ X1030)=>?[X1032:$i]:(((X1029 @ X1031 @ X1032)&![X1033:$i]:(((X1029 @ X1031 @ X1033)=>((X1032)=(X1033))))))))=>?[X1034:$i]:(![X1035:$i]:(((in @ X1035 @ X1034)<=>?[X1036:$i]:(((in @ X1036 @ X1030)&(X1029 @ X1036 @ X1035))))))))=>(![X1025:$i]:((?[X1026:$i]:((in @ X1026 @ X1025))=>?[X1027:$i]:(((in @ X1027 @ X1025)&~(?[X1028:$i]:(((in @ X1028 @ X1027)&(in @ X1028 @ X1025))))))))=>((epred1_0)=>(![X1022:$i > $o]:((?[X1023:$i]:(((X1022 @ X1023)&![X1024:$i]:(((X1022 @ X1024)=>((X1023)=(X1024))))))=>(X1022 @ (descr @ (^[Z0/* 3 */:$i]:((X1022 @ Z0)))))))=>(![X1019:$i, X1020:$i > $o, X1021:$i]:(((in @ X1021 @ X1019)=>((X1020 @ X1021)=>(in @ X1021 @ (dsetconstr @ X1019 @ (^[Z0/* 3 */:$i]:((X1020 @ Z0))))))))=>(![X1016:$i, X1017:$i > $o, X1018:$i]:(((in @ X1018 @ (dsetconstr @ X1016 @ (^[Z0/* 3 */:$i]:((X1017 @ Z0)))))=>(in @ X1018 @ X1016)))=>(![X560:$i, X561:$i > $o, X562:$i]:(((in @ X562 @ (dsetconstr @ X560 @ (^[Z0/* 3 */:$i]:((X561 @ Z0)))))=>(X561 @ X562)))=>(![X563:$i > $o]:((?[X564:$i]:(((X563 @ X564)&![X565:$i]:(((X563 @ X565)=>((X564)=(X565))))))=>?[X566:$i]:(((X563 @ X566)&![X567:$i]:(((X563 @ X567)=>((X566)=(X567))))))))=>(![X568:$o, X569:$i]:(((in @ X569 @ (prop2set @ ((X568))))=>(X568)))=>(![X570:$i]:(((in @ X570 @ emptyset)=>![X571:$o]:((X571))))=>(![X1015:$i]:(~(in @ X1015 @ emptyset))=>(![X1014:$i]:(~(in @ X1014 @ emptyset))=>(![X572:$i > $o]:((?[X573:$i]:(((X572 @ X573)&![X574:$i]:(((X572 @ X574)=>((X573)=(X574))))))=>?[X575:$i]:((X572 @ X575))))=>(![X1010:$i, X1011:$i]:((![X1012:$i]:(((in @ X1012 @ X1010)=>(in @ X1012 @ X1011)))=>(![X1013:$i]:(((in @ X1013 @ X1011)=>(in @ X1013 @ X1010)))=>((X1010)=(X1011)))))=>(![X576:$i]:((![X577:$i]:(~(in @ X577 @ X576))=>((X576)=(emptyset))))=>(![X1008:$i]:((![X1009:$i]:(~(in @ X1009 @ X1008))=>((X1008)=(emptyset))))=>(![X578:$i, X579:$i > $o, X580:$i]:(((in @ X580 @ X578)=>((in @ X580 @ (dsetconstr @ X578 @ (^[Z0/* 3 */:$i]:((X579 @ Z0)))))<=>(X579 @ X580))))=>(![X1006:$i]:((((X1006)!=(emptyset))=>?[X1007:$i]:((in @ X1007 @ X1006))))=>(![X581:$i, X582:$i > $o, X583:$i]:(((in @ X583 @ X581)=>((X582 @ X583)=>((dsetconstr @ X581 @ (^[Z0/* 3 */:$i]:((X582 @ Z0))))!=(emptyset)))))=>(![X1004:$i]:((?[X1005:$i]:((in @ X1005 @ X1004))=>((X1004)!=(emptyset))))=>(![X584:$i, X585:$i]:((in @ X584 @ (setadjoin @ X584 @ X585)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X586:$i, X587:$i, X588:$i]:(((in @ X588 @ X587)=>(in @ X588 @ (setadjoin @ X586 @ X587))))=>(![X1000:$i, X1001:$i, X1002:$i]:(((in @ X1002 @ (setadjoin @ X1000 @ X1001))=>![X1003:$o]:(((((X1002)=(X1000))=>(X1003))=>(((in @ X1002 @ X1001)=>(X1003))=>(X1003))))))=>(![X589:$i, X590:$i, X591:$i]:(((in @ X591 @ (setadjoin @ X589 @ X590))=>(((X591)=(X589))|(in @ X591 @ X590))))=>(![X592:$i]:(((dsetconstr @ X592 @ (^[Z0/* 3 */:$i]:(($true))))=(X592)))=>(![X997:$i, X998:$i]:((![X999:$i]:(((in @ X999 @ X998)=>(in @ X999 @ X997)))=>(in @ X998 @ (powerset @ X997))))=>(![X996:$i]:((in @ emptyset @ (powerset @ X996)))=>(![X593:$i]:((in @ emptyset @ (powerset @ X593)))=>(![X993:$i, X994:$i, X995:$i]:(((in @ X994 @ (powerset @ X993))=>((in @ X995 @ X994)=>(in @ X995 @ X993))))=>(![X990:$i, X991:$i, X992:$i]:(((in @ X991 @ X992)=>((in @ X992 @ X990)=>(in @ X991 @ (setunion @ X990)))))=>(![X986:$i, X987:$i]:(((in @ X987 @ (setunion @ X986))=>![X988:$o]:((![X989:$i]:(((in @ X987 @ X989)=>((in @ X989 @ X986)=>(X988))))=>(X988)))))=>(![X594:$i, X595:$i]:(((in @ X595 @ X594)=>(in @ X595 @ (powerset @ (setunion @ X594)))))=>(![X981:$i > $o]:((?[X982:$i]:(((X981 @ X982)&![X983:$i]:(((X981 @ X983)=>((X982)=(X983))))))=>?[X984:$i]:(![X985:$i]:(((X981 @ X985)<=>((X985)=(X984)))))))=>(![X979:$i]:((((X979)!=(emptyset))=>?[X980:$i]:((in @ X980 @ X979))))=>(![X977:$i, X978:$i]:(((in @ X977 @ (setadjoin @ X978 @ emptyset))=>((X977)=(X978))))=>(![X975:$i, X976:$i]:((((X975)!=(X976))=>~(in @ X976 @ (setadjoin @ X975 @ emptyset))))=>(![X596:$i, X597:$i]:((((X596)=(X597))=>(in @ X596 @ (setadjoin @ X597 @ emptyset))))=>(![X598:$i, X599:$i]:(((in @ X598 @ (setadjoin @ X599 @ emptyset))=>(in @ X599 @ (setadjoin @ X598 @ emptyset))))=>(![X600:$i, X601:$i, X602:$i]:(((in @ X602 @ (setadjoin @ X600 @ (setadjoin @ X601 @ emptyset)))=>(((X602)=(X600))|((X602)=(X601)))))=>(![X603:$i, X604:$i]:((in @ X603 @ (setadjoin @ X603 @ (setadjoin @ X604 @ emptyset))))=>(![X605:$i, X606:$i]:((in @ X606 @ (setadjoin @ X605 @ (setadjoin @ X606 @ emptyset))))=>(![X972:$i, X973:$i > $o]:((?[X974:$i]:(((in @ X974 @ X972)&(X973 @ X974)))=>((dsetconstr @ X972 @ (^[Z0/* 3 */:$i]:((X973 @ Z0))))!=(emptyset))))=>(![X970:$i > $o, X971:$i]:(((in @ X971 @ emptyset)=>(X970 @ X971)))=>(![X966:$i, X967:$i > $o]:((~(![X968:$i]:(((in @ X968 @ X966)=>(X967 @ X968))))=>?[X969:$i]:(((in @ X969 @ X966)&~(X967 @ X969)))))=>(![X962:$i, X963:$i > $o]:((![X964:$i]:(((in @ X964 @ X962)=>~(X963 @ X964)))=>~(?[X965:$i]:(((in @ X965 @ X962)&(X963 @ X965))))))=>(![X607:$i, X608:$i > $o]:((~(?[X609:$i]:(((in @ X609 @ X607)&(X608 @ X609))))=>![X610:$i]:(((in @ X610 @ X607)=>~(X608 @ X610)))))=>(![X611:$i, X612:$i > $o]:((?[X613:$i]:(((in @ X613 @ X611)&~(X612 @ X613)))=>~(![X614:$i]:(((in @ X614 @ X611)=>(X612 @ X614))))))=>(![X961:$o]:(((X961)=>(in @ emptyset @ (prop2set @ ((X961))))))=>(![X615:$o]:(((X615)=>(set2prop @ (prop2set @ ((X615))))))=>(![X957:$i, X958:$i > $o]:((~(?[X959:$i]:(((in @ X959 @ X957)&(X958 @ X959))))=>![X960:$i]:(((in @ X960 @ X957)=>~(X958 @ X960)))))=>(![X616:$i, X617:$i > $o]:((~(![X618:$i]:(((in @ X618 @ X616)=>(X617 @ X618))))=>?[X619:$i]:(((in @ X619 @ X616)&~(X617 @ X619)))))=>(![X620:$i > $o]:((?[X621:$i]:(((X620 @ X621)&![X622:$i]:(((X620 @ X622)=>((X621)=(X622))))))=>?[X623:$i]:(((X620 @ X623)&![X624:$i]:(((X620 @ X624)=>((X623)=(X624))))))))=>(![X625:$i > $o]:((?[X626:$i]:((X625 @ X626))=>(![X627:$i, X628:$i]:(((X625 @ X627)=>((X625 @ X628)=>((X627)=(X628)))))=>?[X629:$i]:(((X625 @ X629)&![X630:$i]:(((X625 @ X630)=>((X629)=(X630)))))))))=>(![X631:$i > $o]:((?[X632:$i]:(![X633:$i]:(((X631 @ X633)<=>((X633)=(X632)))))=>?[X634:$i]:(((X631 @ X634)&![X635:$i]:(((X631 @ X635)=>((X634)=(X635))))))))=>(![X636:$i, X637:$i]:((((X636)=(X637))=>![X638:$i, X639:$i]:((((X638)=(X639))=>((in @ X638 @ X636)=>(in @ X639 @ X637))))))=>(![X640:$i, X641:$i]:((((X640)=(X641))=>![X642:$i, X643:$i]:((((X642)=(X643))=>((in @ X642 @ X640)<=>(in @ X643 @ X641))))))=>(![X644:$i > $o]:((?[X645:$i]:(((X644 @ X645)&![X646:$i]:(((X644 @ X646)=>((X645)=(X646))))))=>![X647:$i, X648:$i]:(((X644 @ X647)=>((X644 @ X648)=>((X647)=(X648)))))))=>(![X649:$i > $o, X650:$i > $o]:((![X651:$i, X652:$i]:((((X651)=(X652))=>((X649 @ X651)<=>(X650 @ X652))))=>(?[X653:$i]:(((X649 @ X653)&![X654:$i]:(((X649 @ X654)=>((X653)=(X654))))))<=>?[X655:$i]:(((X650 @ X655)&![X656:$i]:(((X650 @ X656)=>((X655)=(X656)))))))))=>(((emptyset)=(emptyset))=>(![X953:$i, X954:$i]:((((X953)=(X954))=>![X955:$i, X956:$i]:((((X955)=(X956))=>((setadjoin @ X953 @ X955)=(setadjoin @ X954 @ X956))))))=>(![X951:$i, X952:$i]:((((X951)=(X952))=>((powerset @ X951)=(powerset @ X952))))=>(![X657:$i, X658:$i]:((((X657)=(X658))=>((setunion @ X657)=(setunion @ X658))))=>(((omega)=(omega))=>(![X659:$i > $o]:((?[X660:$i]:(((X659 @ X660)&![X661:$i]:(((X659 @ X661)=>((X660)=(X661))))))=>![X662:$i, X663:$i]:(((X659 @ X662)=>((X659 @ X663)=>((X662)=(X663)))))))=>(![X664:$i > $o, X665:$i > $o]:((![X666:$i, X667:$i]:((((X666)=(X667))=>((X664 @ X666)<=>(X665 @ X667))))=>(?[X668:$i]:(((X664 @ X668)&![X669:$i]:(((X664 @ X669)=>((X668)=(X669))))))=>(?[X670:$i]:(((X665 @ X670)&![X671:$i]:(((X665 @ X671)=>((X670)=(X671))))))=>((descr @ (^[Z0/* 3 */:$i]:((X664 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X665 @ Z0)))))))))=>(![X945:$i, X946:$i]:((((X945)=(X946))=>![X947:$i > $o, X948:$i > $o]:((![X949:$i]:(((in @ X949 @ X945)=>![X950:$i]:(((in @ X950 @ X946)=>(((X949)=(X950))=>((X947 @ X949)<=>(X948 @ X950)))))))=>((dsetconstr @ X945 @ (^[Z0/* 3 */:$i]:((X947 @ Z0))))=(dsetconstr @ X946 @ (^[Z0/* 3 */:$i]:((X948 @ Z0)))))))))=>(![X672:$i, X673:$i]:((![X674:$i]:(((in @ X674 @ X672)=>(in @ X674 @ X673)))=>(subset @ X672 @ X673)))=>(![X675:$i, X676:$i]:((((X675)=(X676))=>(subset @ X676 @ X675)))=>(![X677:$i, X678:$i]:((((X677)=(X678))=>(subset @ X677 @ X678)))=>(![X942:$i, X943:$i]:((![X944:$i]:(((in @ X944 @ X942)=>(in @ X944 @ X943)))=>(subset @ X942 @ X943)))=>(![X941:$i]:((subset @ emptyset @ X941))=>(![X938:$i, X939:$i, X940:$i]:(((subset @ X938 @ X939)=>((in @ X940 @ X938)=>(in @ X940 @ X939))))=>(![X679:$i, X680:$i, X681:$i]:(((subset @ X679 @ X680)=>(~(in @ X681 @ X680)=>~(in @ X681 @ X679))))=>(![X682:$i, X683:$i, X684:$i]:(((in @ X684 @ X682)=>(~(in @ X684 @ X683)=>~(subset @ X682 @ X683))))=>(![X685:$i, X686:$i]:((~(subset @ X685 @ X686)=>((X685)!=(X686))))=>(![X935:$i, X936:$i, X937:$i]:(((in @ X937 @ X935)=>(~(in @ X937 @ X936)=>((X935)!=(X936)))))=>(![X687:$i]:((subset @ X687 @ X687))=>(![X932:$i, X933:$i, X934:$i]:(((subset @ X932 @ X933)=>((subset @ X933 @ X934)=>(subset @ X932 @ X934))))=>(![X930:$i, X931:$i]:((subset @ X931 @ (setadjoin @ X930 @ X931)))=>(![X927:$i, X928:$i, X929:$i]:(((subset @ X927 @ X929)=>(subset @ X927 @ (setadjoin @ X928 @ X929))))=>(![X925:$i, X926:$i]:(((subset @ X925 @ X926)=>(in @ X925 @ (powerset @ X926))))=>(![X688:$i, X689:$i]:(((subset @ X688 @ X689)=>((subset @ X689 @ X688)=>((X688)=(X689)))))=>(![X690:$i]:(((subset @ X690 @ emptyset)=>((X690)=(emptyset))))=>(![X691:$i, X692:$i]:(((subset @ X692 @ X691)=>(in @ X692 @ (powerset @ X691))))=>(![X923:$i, X924:$i]:(((in @ X924 @ (powerset @ X923))=>(subset @ X924 @ X923)))=>(![X693:$i]:((in @ X693 @ (powerset @ X693)))=>(![X921:$i, X922:$i]:(((subset @ X921 @ X922)=>(subset @ (powerset @ X921) @ (powerset @ X922))))=>(![X919:$i, X920:$i > $o]:((in @ (dsetconstr @ X919 @ (^[Z0/* 3 */:$i]:((X920 @ Z0)))) @ (powerset @ X919)))=>(![X917:$i, X918:$i > $o]:((subset @ (dsetconstr @ X917 @ (^[Z0/* 3 */:$i]:((X918 @ Z0)))) @ X917))=>(![X694:$i, X695:$i, X696:$i]:(((in @ X696 @ X694)=>(in @ X696 @ (binunion @ X694 @ X695))))=>(![X697:$i, X698:$i]:((in @ X698 @ 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setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_202]), foundationAx]), wellorderingAx]), c_0_203]), c_0_204]), c_0_205]), c_0_206]), c_0_207]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_208]), setext]), emptyI]), noeltsimpempty]), c_0_209]), c_0_210]), c_0_211]), c_0_212]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_213]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_214]), c_0_215]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_216]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_217]), c_0_218]), c_0_219]), inCongP]), in__Cong]), c_0_220]), c_0_221]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_222]), c_0_223]), c_0_224]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_225]), c_0_226]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), c_0_195]), secondinupair]), setukpairIL]), setukpairIR]), c_0_227]), c_0_228]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), c_0_229]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_179]), c_0_230]), c_0_231]), c_0_232]), c_0_233]), singletonsuniq]), setukpairinjL1]), c_0_234]), c_0_235]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR])]), c_0_236])).
953.48/127.39	thf(c_0_238, plain, ![X1047:$i, X1048:$i]:(((kpair @ X1047 @ X1048)=(setadjoin @ (setadjoin @ X1047 @ emptyset) @ (setadjoin @ (setadjoin @ X1047 @ (setadjoin @ X1048 @ emptyset)) @ emptyset)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[kpair])])).
953.48/127.39	thf(c_0_239, negated_conjecture, ![X1051:$i, X1052:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1064:$i, X1065:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i, X1073:$i, X1074:$i > $i > $o, X1075:$i, X1077:$i, X1080:$i, X1082:$i, X1083:$i, X1084:$i, X1085:$i, X1087:$i, X1088:$i > $o, X1089:$i, X1091:$i, X1092:$i > $o, X1093:$i, X1094:$i, X1095:$i > $o, X1096:$i, X1097:$i, X1098:$i > $o, X1099:$i, X1100:$i > $o, X1101:$i, X1104:$i, X1105:$o, X1106:$i, X1107:$i, X1108:$o, X1109:$i, X1110:$i, X1111:$i > $o, X1112:$i, X1115:$i, X1116:$i, X1119:$i, X1121:$i, X1123:$i, X1124:$i > $o, X1125:$i, X1126:$i, X1128:$i, X1129:$i > $o, X1130:$i, X1131:$i, X1132:$i, X1133:$i, X1134:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$o, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$o, X1161:$i, X1162:$i, X1163:$i > $o, X1164:$i, X1167:$i, X1168:$i, X1169:$i, X1171:$i, X1172:$i, X1173:$i, X1174:$i, X1175:$i, X1176:$i, X1177:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i > $o, X1188:$i, X1189:$i > $o, X1190:$i, X1191:$i, X1192:$i > $o, X1193:$i, X1195:$i, X1196:$i > $o, X1198:$i, X1199:$i, X1200:$i > $o, X1202:$i, X1203:$i, X1204:$i > $o, X1205:$i, X1207:$o, X1208:$o, X1209:$i, X1210:$i > $o, X1212:$i, X1213:$i, X1214:$i > $o, X1215:$i, X1217:$i > $o, X1218:$i, X1221:$i, X1222:$i > $o, X1223:$i, X1227:$i, X1228:$i > $o, X1229:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i > $o, X1242:$i, X1244:$i, X1245:$i, X1246:$i > $o, X1247:$i > $o, X1250:$i, X1253:$i, X1254:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$i, X1266:$i > $o, X1267:$i, X1269:$i, X1270:$i, X1271:$i > $o, X1272:$i > $o, X1275:$i, X1277:$i, X1279:$i, X1280:$i, X1281:$i > $o, X1282:$i > $o, X1285:$i, X1286:$i, X1288:$i, X1289:$i, X1290:$i, X1291:$i, X1292:$i, X1293:$i, X1295:$i, X1296:$i, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1315:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1321:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i > $o, X1333:$i, X1334:$i > $o, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1342:$i, X1343:$i, X1344:$i, X1345:$i, X1346:$o, X1347:$i, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i, X1366:$i, X1367:$i, X1368:$i, X1369:$i, X1370:$i, X1371:$i, X1372:$i, X1373:$i, X1375:$i, X1376:$i, X1377:$i, X1378:$i, X1379:$i, X1380:$i, X1381:$i, X1382:$i, X1383:$i, X1384:$i, X1385:$i, X1386:$i, X1387:$i, X1388:$i, X1389:$i, X1390:$i, X1391:$i, X1392:$i, X1393:$i, X1394:$i, X1395:$i, X1396:$i, X1397:$i, X1398:$i, X1399:$i, X1400:$i, X1401:$i, X1402:$i, X1403:$i, X1404:$i, X1405:$i, X1406:$i, X1407:$i, X1408:$i, X1409:$i, X1410:$i, X1411:$i, X1412:$i, X1413:$i, X1414:$o, X1415:$i, X1416:$i, X1417:$i, X1418:$i, X1419:$i, X1420:$i, X1421:$i, X1422:$i, X1423:$i, X1424:$i, X1425:$i, X1426:$i, X1427:$i, X1428:$i, X1429:$i, X1430:$i, X1431:$i, X1432:$i, X1433:$i, X1434:$i, X1437:$i, X1438:$i, X1441:$i, X1442:$i, X1443:$i, X1444:$i, X1445:$i, X1446:$i, X1447:$i, X1448:$i, X1449:$i, X1450:$i, X1451:$i, X1452:$i, X1453:$i, X1454:$i, X1455:$i, X1456:$i, X1457:$i, X1458:$i, X1459:$i, X1460:$i, X1461:$i, X1462:$i, X1463:$i, X1464:$i, X1465:$i, X1466:$i, X1467:$i, X1468:$i, X1469:$i, X1470:$i, X1471:$i, X1472:$i, X1473:$i, X1474:$i, X1475:$i, X1476:$i, X1477:$i, X1480:$i, X1481:$i, X1482:$i, X1485:$i, X1486:$i, X1488:$i, X1489:$i, X1490:$i, X1491:$i, X1492:$i > $o, X1495:$i, X1497:$i, X1498:$i > $o, X1499:$i, X1501:$i, X1502:$i > $o, X1503:$i, X1506:$i, X1507:$i > $o, X1510:$i, X1512:$i, X1513:$i, X1514:$i, X1515:$i, X1516:$i, X1517:$i, X1518:$i, X1519:$i, X1521:$i, X1522:$i, X1523:$i, X1524:$i, X1525:$i, X1526:$i, X1527:$i, X1528:$i, X1529:$i, X1530:$i, X1531:$i, X1532:$i, X1533:$i, X1534:$i, X1535:$i, X1536:$i, X1537:$i, X1538:$i, X1539:$i, X1540:$i, X1541:$i, X1542:$i, X1543:$i, X1544:$i, X1545:$i, X1546:$i, X1547:$i, X1548:$i, X1549:$i, X1550:$i, X1551:$i, X1552:$i, X1553:$i, X1554:$i, X1558:$i]:((((~(in @ (esk1_2 @ X1051 @ X1052) @ X1051)|~(in @ (esk1_2 @ X1051 @ X1052) @ X1052)|((X1051)=(X1052)))&((in @ (esk1_2 @ X1051 @ X1052) @ X1051)|(in @ (esk1_2 @ X1051 @ X1052) @ X1052)|((X1051)=(X1052))))&(~(in @ X1054 @ emptyset)&(((~(in @ X1057 @ (setadjoin @ X1055 @ X1056))|(((X1057)=(X1055))|(in @ X1057 @ X1056)))&((((X1057)!=(X1055))|(in @ X1057 @ (setadjoin @ X1055 @ X1056)))&(~(in @ X1057 @ X1056)|(in @ X1057 @ (setadjoin @ X1055 @ X1056)))))&(((~(in @ X1059 @ (powerset @ X1058))|(~(in @ X1060 @ X1059)|(in @ X1060 @ X1058)))&(((in @ (esk2_2 @ X1061 @ X1062) @ X1062)|(in @ X1062 @ (powerset @ X1061)))&(~(in @ (esk2_2 @ X1061 @ X1062) @ X1061)|(in @ X1062 @ (powerset @ X1061)))))&(((((in @ X1065 @ (esk3_2 @ X1064 @ X1065))|~(in @ X1065 @ (setunion @ X1064)))&((in @ (esk3_2 @ X1064 @ X1065) @ X1064)|~(in @ X1065 @ (setunion @ X1064))))&(~(in @ X1068 @ X1069)|~(in @ X1069 @ X1067)|(in @ X1068 @ (setunion @ X1067))))&((in @ emptyset @ omega)&((~(in @ X1070 @ omega)|(in @ (setadjoin @ X1070 @ X1070) @ omega))&(((((in @ (esk4_1 @ X1071) @ omega)|~(in @ emptyset @ X1071)|(~(in @ X1073 @ omega)|(in @ X1073 @ X1071)))&((in @ (esk4_1 @ X1071) @ X1071)|~(in @ emptyset @ X1071)|(~(in @ X1073 @ omega)|(in @ X1073 @ X1071))))&(~(in @ (setadjoin @ (esk4_1 @ X1071) @ (esk4_1 @ X1071)) @ X1071)|~(in @ emptyset @ X1071)|(~(in @ X1073 @ omega)|(in @ X1073 @ X1071))))&((((((in @ (esk8_3 @ X1074 @ X1075 @ X1080) @ X1075)|~(in @ X1080 @ (esk7_2 @ X1074 @ X1075))|(in @ (esk5_2 @ X1074 @ X1075) @ X1075))&((X1074 @ (esk8_3 @ X1074 @ X1075 @ X1080) @ X1080)|~(in @ X1080 @ (esk7_2 @ X1074 @ X1075))|(in @ (esk5_2 @ X1074 @ X1075) @ X1075)))&(~(in @ X1083 @ X1075)|~(X1074 @ X1083 @ X1082)|(in @ X1082 @ (esk7_2 @ X1074 @ X1075))|(in @ (esk5_2 @ X1074 @ X1075) @ X1075)))&(((((in @ (esk8_3 @ X1074 @ X1075 @ X1080) @ X1075)|~(in @ X1080 @ (esk7_2 @ X1074 @ X1075))|((X1074 @ (esk5_2 @ X1074 @ X1075) @ (esk6_3 @ X1074 @ X1075 @ X1077))|~(X1074 @ (esk5_2 @ X1074 @ X1075) @ X1077)))&((X1074 @ (esk8_3 @ X1074 @ X1075 @ X1080) @ X1080)|~(in @ X1080 @ (esk7_2 @ X1074 @ X1075))|((X1074 @ (esk5_2 @ X1074 @ X1075) @ (esk6_3 @ X1074 @ X1075 @ X1077))|~(X1074 @ (esk5_2 @ X1074 @ X1075) @ X1077))))&(~(in @ X1083 @ X1075)|~(X1074 @ X1083 @ X1082)|(in @ X1082 @ (esk7_2 @ X1074 @ X1075))|((X1074 @ (esk5_2 @ X1074 @ X1075) @ (esk6_3 @ X1074 @ X1075 @ X1077))|~(X1074 @ (esk5_2 @ X1074 @ X1075) @ X1077))))&((((in @ (esk8_3 @ X1074 @ X1075 @ X1080) @ X1075)|~(in @ X1080 @ (esk7_2 @ X1074 @ X1075))|(((X1077)!=(esk6_3 @ X1074 @ X1075 @ X1077))|~(X1074 @ (esk5_2 @ X1074 @ X1075) @ X1077)))&((X1074 @ (esk8_3 @ X1074 @ X1075 @ X1080) @ X1080)|~(in @ X1080 @ (esk7_2 @ X1074 @ X1075))|(((X1077)!=(esk6_3 @ X1074 @ X1075 @ X1077))|~(X1074 @ (esk5_2 @ X1074 @ X1075) @ X1077))))&(~(in @ X1083 @ X1075)|~(X1074 @ X1083 @ X1082)|(in @ X1082 @ (esk7_2 @ X1074 @ X1075))|(((X1077)!=(esk6_3 @ X1074 @ X1075 @ X1077))|~(X1074 @ (esk5_2 @ X1074 @ X1075) @ X1077))))))&((((in @ (esk9_1 @ X1084) @ X1084)|~(in @ X1085 @ X1084))&(~(in @ X1087 @ (esk9_1 @ X1084))|~(in @ X1087 @ X1084)|~(in @ X1085 @ X1084)))&((epred1_0)&((((X1088 @ (esk10_2 @ X1088 @ X1089))|~(X1088 @ X1089)|(X1088 @ (descr @ (^[Z0/* 3 */:$i]:((X1088 @ Z0))))))&(((X1089)!=(esk10_2 @ X1088 @ X1089))|~(X1088 @ X1089)|(X1088 @ (descr @ (^[Z0/* 3 */:$i]:((X1088 @ Z0)))))))&((~(in @ X1093 @ X1091)|(~(X1092 @ X1093)|(in @ X1093 @ (dsetconstr @ X1091 @ (^[Z0/* 3 */:$i]:((X1092 @ Z0)))))))&((~(in @ X1096 @ (dsetconstr @ X1094 @ (^[Z0/* 3 */:$i]:((X1095 @ Z0)))))|(in @ X1096 @ X1094))&((~(in @ X1099 @ (dsetconstr @ X1097 @ (^[Z0/* 3 */:$i]:((X1098 @ Z0)))))|(X1098 @ X1099))&(((((X1100 @ (esk12_1 @ X1100))|((X1100 @ (esk11_2 @ X1100 @ X1101))|~(X1100 @ X1101)))&(~(X1100 @ X1104)|((esk12_1 @ X1100)=(X1104))|((X1100 @ (esk11_2 @ X1100 @ X1101))|~(X1100 @ X1101))))&(((X1100 @ (esk12_1 @ X1100))|(((X1101)!=(esk11_2 @ X1100 @ X1101))|~(X1100 @ X1101)))&(~(X1100 @ X1104)|((esk12_1 @ X1100)=(X1104))|(((X1101)!=(esk11_2 @ X1100 @ X1101))|~(X1100 @ X1101)))))&((~(in @ X1106 @ (prop2set @ ((X1105))))|(X1105))&((~(in @ X1107 @ emptyset)|(X1108))&(~(in @ X1109 @ emptyset)&(~(in @ X1110 @ emptyset)&((((X1111 @ (esk13_2 @ X1111 @ X1112))|~(X1111 @ X1112)|(X1111 @ (esk14_1 @ X1111)))&(((X1112)!=(esk13_2 @ X1111 @ X1112))|~(X1111 @ X1112)|(X1111 @ (esk14_1 @ X1111))))&(((((in @ (esk16_2 @ X1115 @ X1116) @ X1116)|((X1115)=(X1116))|(in @ (esk15_2 @ X1115 @ X1116) @ X1115))&(~(in @ (esk16_2 @ X1115 @ X1116) @ X1115)|((X1115)=(X1116))|(in @ (esk15_2 @ X1115 @ X1116) @ X1115)))&(((in @ (esk16_2 @ X1115 @ X1116) @ X1116)|((X1115)=(X1116))|~(in @ (esk15_2 @ X1115 @ X1116) @ X1116))&(~(in @ (esk16_2 @ X1115 @ X1116) @ X1115)|((X1115)=(X1116))|~(in @ (esk15_2 @ X1115 @ X1116) @ X1116))))&(((in @ (esk17_1 @ X1119) @ X1119)|((X1119)=(emptyset)))&(((in @ (esk18_1 @ X1121) @ X1121)|((X1121)=(emptyset)))&(((~(in @ X1125 @ (dsetconstr @ X1123 @ (^[Z0/* 3 */:$i]:((X1124 @ Z0)))))|(X1124 @ X1125)|~(in @ X1125 @ X1123))&(~(X1124 @ X1125)|(in @ X1125 @ (dsetconstr @ X1123 @ (^[Z0/* 3 */:$i]:((X1124 @ Z0)))))|~(in @ X1125 @ X1123)))&((((X1126)=(emptyset))|(in @ (esk19_1 @ X1126) @ X1126))&((~(in @ X1130 @ X1128)|(~(X1129 @ X1130)|((dsetconstr @ X1128 @ (^[Z0/* 3 */:$i]:((X1129 @ Z0))))!=(emptyset))))&((~(in @ X1132 @ X1131)|((X1131)!=(emptyset)))&((in @ X1133 @ (setadjoin @ X1133 @ X1134))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X1137 @ X1136)|(in @ X1137 @ (setadjoin @ X1135 @ X1136)))&(((((in @ X1140 @ X1139)|(X1141)|((X1140)=(X1138))|~(in @ X1140 @ (setadjoin @ X1138 @ X1139)))&(~(X1141)|(X1141)|((X1140)=(X1138))|~(in @ X1140 @ (setadjoin @ X1138 @ X1139))))&(((in @ X1140 @ X1139)|(X1141)|~(X1141)|~(in @ X1140 @ (setadjoin @ X1138 @ X1139)))&(~(X1141)|(X1141)|~(X1141)|~(in @ X1140 @ (setadjoin @ X1138 @ X1139)))))&((~(in @ X1144 @ (setadjoin @ X1142 @ X1143))|(((X1144)=(X1142))|(in @ X1144 @ X1143)))&(((dsetconstr @ X1145 @ (^[Z0/* 3 */:$i]:(($true))))=(X1145))&((((in @ (esk20_2 @ X1146 @ X1147) @ X1147)|(in @ X1147 @ (powerset @ X1146)))&(~(in @ (esk20_2 @ X1146 @ X1147) @ X1146)|(in @ X1147 @ (powerset @ X1146))))&((in @ emptyset @ (powerset @ X1149))&((in @ emptyset @ (powerset @ X1150))&((~(in @ X1152 @ (powerset @ X1151))|(~(in @ X1153 @ X1152)|(in @ X1153 @ X1151)))&((~(in @ X1155 @ X1156)|(~(in @ X1156 @ X1154)|(in @ X1155 @ (setunion @ X1154))))&((((in @ X1158 @ (esk21_3 @ X1157 @ X1158 @ X1159))|(X1159)|~(in @ X1158 @ (setunion @ X1157)))&(((in @ (esk21_3 @ X1157 @ X1158 @ X1159) @ X1157)|(X1159)|~(in @ X1158 @ (setunion @ X1157)))&(~(X1159)|(X1159)|~(in @ X1158 @ (setunion @ X1157)))))&((~(in @ X1162 @ X1161)|(in @ X1162 @ (powerset @ (setunion @ X1161))))&((((~(X1163 @ X1167)|((X1167)=(esk23_1 @ X1163))|((X1163 @ (esk22_2 @ X1163 @ X1164))|~(X1163 @ X1164)))&(((X1168)!=(esk23_1 @ X1163))|(X1163 @ X1168)|((X1163 @ (esk22_2 @ X1163 @ X1164))|~(X1163 @ X1164))))&((~(X1163 @ X1167)|((X1167)=(esk23_1 @ X1163))|(((X1164)!=(esk22_2 @ X1163 @ X1164))|~(X1163 @ X1164)))&(((X1168)!=(esk23_1 @ X1163))|(X1163 @ X1168)|(((X1164)!=(esk22_2 @ X1163 @ X1164))|~(X1163 @ X1164)))))&((((X1169)=(emptyset))|(in @ (esk24_1 @ X1169) @ X1169))&((~(in @ X1171 @ (setadjoin @ X1172 @ emptyset))|((X1171)=(X1172)))&((((X1173)=(X1174))|~(in @ X1174 @ (setadjoin @ X1173 @ emptyset)))&((((X1175)!=(X1176))|(in @ X1175 @ (setadjoin @ X1176 @ emptyset)))&((~(in @ X1177 @ (setadjoin @ X1178 @ emptyset))|(in @ X1178 @ (setadjoin @ 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@ X1506 @ X1507) @ (dsetconstr @ X1506 @ (^[Z0/* 3 */:$i]:((X1507 @ Z0)))))|(~(in @ X1510 @ X1506)|~(X1507 @ X1510))|((esk70_2 @ X1506 @ X1507)!=(esk71_2 @ X1506 @ X1507)))&(((dsetconstr @ X1506 @ (^[Z0/* 3 */:$i]:((X1507 @ Z0))))=(setadjoin @ (esk72_2 @ X1506 @ X1507) @ emptyset))|(~(in @ X1510 @ X1506)|~(X1507 @ X1510))|((esk70_2 @ X1506 @ X1507)!=(esk71_2 @ X1506 @ X1507))))))))&((((setadjoin @ X1512 @ emptyset)!=(setadjoin @ X1513 @ emptyset))|((X1512)=(X1513)))&((~(in @ (setadjoin @ X1516 @ emptyset) @ (setadjoin @ (setadjoin @ X1514 @ emptyset) @ (setadjoin @ (setadjoin @ X1514 @ (setadjoin @ X1515 @ emptyset)) @ emptyset)))|((X1514)=(X1516)))&((((in @ (esk73_1 @ X1517) @ (dsetconstr @ (setunion @ X1517) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1517)))))|(~(in @ X1518 @ (setunion @ X1517))|(~(in @ X1519 @ (setunion @ X1517))|((X1517)!=(setadjoin @ (setadjoin @ X1518 @ emptyset) @ (setadjoin @ (setadjoin @ X1518 @ (setadjoin @ X1519 @ emptyset)) @ emptyset))))))&(((dsetconstr @ (setunion @ X1517) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1517))))=(setadjoin @ (esk73_1 @ X1517) @ emptyset))|(~(in @ X1518 @ (setunion @ X1517))|(~(in @ X1519 @ (setunion @ X1517))|((X1517)!=(setadjoin @ (setadjoin @ X1518 @ emptyset) @ (setadjoin @ (setadjoin @ X1518 @ (setadjoin @ X1519 @ emptyset)) @ emptyset)))))))&((~(in @ X1522 @ X1521)|((X1521)!=(setadjoin @ X1522 @ emptyset))|(in @ (setunion @ X1521) @ X1521))&(((kfst @ (kpair @ X1523 @ X1524))=(X1523))&((~(in @ X1527 @ (cartprod @ X1525 @ X1526))|(in @ (kfst @ X1527) @ X1525))&((((setadjoin @ (setadjoin @ X1528 @ emptyset) @ (setadjoin @ (setadjoin @ X1528 @ (setadjoin @ X1529 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1530 @ emptyset) @ (setadjoin @ (setadjoin @ X1530 @ (setadjoin @ X1531 @ emptyset)) @ emptyset)))|((X1528)=(X1530)))&((((kpair @ X1532 @ X1533)!=(kpair @ X1534 @ X1535))|((X1532)=(X1534)))&((((X1536)!=(X1537))|((setadjoin @ X1536 @ (setadjoin @ X1537 @ emptyset))=(setadjoin @ X1536 @ emptyset)))&((((X1538)!=(X1539))|((setadjoin @ (setadjoin @ X1538 @ emptyset) @ (setadjoin @ (setadjoin @ X1538 @ (setadjoin @ X1539 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1538 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1540 @ emptyset) @ (setadjoin @ (setadjoin @ X1540 @ (setadjoin @ X1541 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1542 @ emptyset) @ (setadjoin @ (setadjoin @ X1542 @ (setadjoin @ X1543 @ emptyset)) @ emptyset)))|(((X1542)!=(X1543))|((X1541)=(X1543))))&((((setadjoin @ X1544 @ (setadjoin @ X1545 @ emptyset))!=(setadjoin @ X1546 @ emptyset))|((X1544)=(X1545)))&((((setadjoin @ (setadjoin @ X1547 @ emptyset) @ (setadjoin @ (setadjoin @ X1547 @ (setadjoin @ X1548 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1549 @ emptyset) @ (setadjoin @ (setadjoin @ X1549 @ (setadjoin @ X1550 @ emptyset)) @ emptyset)))|((X1548)=(X1550)))&((((kpair @ X1551 @ X1552)!=(kpair @ X1553 @ X1554))|((X1552)=(X1554)))&(((in @ esk75_0 @ (setunion @ esk74_0))&((in @ esk76_0 @ (setunion @ esk74_0))&((esk74_0)=(setadjoin @ (setadjoin @ esk75_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk75_0 @ (setadjoin @ esk76_0 @ emptyset)) @ emptyset)))))&(~(in @ X1558 @ (dsetconstr @ (setunion @ esk74_0) @ (^[Z0/* 3 */:$i]:(((esk74_0)=(kpair @ (kfst @ esk74_0) @ Z0))))))|((dsetconstr @ (setunion @ esk74_0) @ (^[Z0/* 3 */:$i]:(((esk74_0)=(kpair @ (kfst @ esk74_0) @ Z0)))))!=(setadjoin @ X1558 @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_237])])])])])])).
953.48/127.39	thf(c_0_240, plain, ![X1049:$i, X1050:$i]:(((kpair @ X1049 @ X1050)=(setadjoin @ (setadjoin @ X1049 @ emptyset) @ (setadjoin @ (setadjoin @ X1049 @ (setadjoin @ X1050 @ emptyset)) @ emptyset)))), inference(variable_rename,[status(thm)],[c_0_238])).
953.48/127.39	thf(c_0_241, negated_conjecture, ((esk74_0)=(setadjoin @ (setadjoin @ esk75_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk75_0 @ (setadjoin @ esk76_0 @ emptyset)) @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_239])).
953.48/127.39	thf(c_0_242, plain, ![X2:$i, X3:$i]:(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_240])).
953.48/127.39	thf(c_0_243, plain, ![X1583:$i]:(((~(epred2_0 @ X1583)|((esk74_0)=(kpair @ (kfst @ esk74_0) @ X1583)))&(((esk74_0)!=(kpair @ (kfst @ esk74_0) @ X1583))|(epred2_0 @ X1583)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])).
953.48/127.39	thf(c_0_244, negated_conjecture, ![X3:$i, X2:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2))), inference(split_conjunct,[status(thm)],[c_0_239])).
953.48/127.39	thf(c_0_245, negated_conjecture, ((kpair @ esk75_0 @ esk76_0)=(esk74_0)), inference(rw,[status(thm)],[c_0_241, c_0_242])).
953.48/127.39	thf(c_0_246, plain, ![X1578:$i]:(((epred2_0 @ X1578)<=>((esk74_0)=(kpair @ (kfst @ esk74_0) @ X1578)))), introduced(definition)).
953.48/127.39	thf(c_0_247, plain, ![X2:$i]:(((epred2_0 @ X2)|((esk74_0)!=(kpair @ (kfst @ esk74_0) @ X2)))), inference(split_conjunct,[status(thm)],[c_0_243])).
953.48/127.39	thf(c_0_248, negated_conjecture, ((kfst @ esk74_0)=(esk75_0)), inference(spm,[status(thm)],[c_0_244, c_0_245])).
953.48/127.39	thf(c_0_249, negated_conjecture, ![X2:$i]:((~((((in @ X2 @ (dsetconstr @ (setunion @ esk74_0) @ epred2_0)))=(($true))))|((dsetconstr @ (setunion @ esk74_0) @ epred2_0)!=(setadjoin @ X2 @ emptyset)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_239]), c_0_246]), c_0_246])).
953.48/127.39	thf(c_0_250, negated_conjecture, ![X1:$i > $o, X2:$i, X3:$i]:(((in @ (esk66_2 @ X2 @ X1) @ (dsetconstr @ X2 @ X1))|(X1 @ (esk64_2 @ X2 @ X1))|~((in @ X3 @ X2))|~((X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_239])).
953.48/127.39	thf(c_0_251, negated_conjecture, (in @ esk76_0 @ (setunion @ esk74_0)), inference(split_conjunct,[status(thm)],[c_0_239])).
953.48/127.39	thf(c_0_252, plain, ![X2:$i]:(((epred2_0 @ X2)|((kpair @ esk75_0 @ X2)!=(esk74_0)))), inference(rw,[status(thm)],[c_0_247, c_0_248])).
953.48/127.39	thf(c_0_253, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((in @ (esk66_2 @ X2 @ X1) @ (dsetconstr @ X2 @ X1))|~((in @ X3 @ X2))|~((X1 @ X3))|((esk64_2 @ X2 @ X1)!=(esk65_2 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_239])).
953.48/127.39	thf(c_0_254, negated_conjecture, ![X2:$i, X3:$i, X4:$i, X5:$i]:((((X3)=(X5))|((kpair @ X2 @ X3)!=(kpair @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_239])).
953.48/127.39	thf(c_0_255, plain, ![X2:$i]:((((esk74_0)=(kpair @ (kfst @ esk74_0) @ X2))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_243])).
953.48/127.39	thf(c_0_256, negated_conjecture, ![X1:$i > $o, X2:$i, X3:$i]:((((dsetconstr @ X2 @ X1)=(setadjoin @ (esk66_2 @ X2 @ X1) @ emptyset))|(X1 @ (esk64_2 @ X2 @ X1))|~((in @ X3 @ X2))|~((X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_239])).
953.48/127.39	thf(c_0_257, negated_conjecture, ![X2:$i]:((((dsetconstr @ (setunion @ esk74_0) @ epred2_0)!=(setadjoin @ X2 @ emptyset))|~((in @ X2 @ (dsetconstr @ (setunion @ esk74_0) @ epred2_0))))), inference(cn,[status(thm)],[c_0_249])).
953.48/127.39	thf(c_0_258, negated_conjecture, ![X1:$i > $o]:(((in @ (esk66_2 @ (setunion @ esk74_0) @ X1) @ (dsetconstr @ (setunion @ esk74_0) @ X1))|(X1 @ (esk64_2 @ (setunion @ esk74_0) @ X1))|~((X1 @ esk76_0)))), inference(spm,[status(thm)],[c_0_250, c_0_251])).
953.48/127.39	thf(c_0_259, negated_conjecture, (epred2_0 @ esk76_0), inference(spm,[status(thm)],[c_0_252, c_0_245])).
953.48/127.39	thf(c_0_260, negated_conjecture, ![X1:$i > $o, X2:$i, X3:$i]:(((in @ (esk66_2 @ X2 @ X1) @ (dsetconstr @ X2 @ X1))|(X1 @ (esk65_2 @ X2 @ X1))|~((in @ X3 @ X2))|~((X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_239])).
953.48/127.39	thf(c_0_261, negated_conjecture, ![X1:$i > $o]:(((in @ (esk66_2 @ (setunion @ esk74_0) @ X1) @ (dsetconstr @ (setunion @ esk74_0) @ X1))|((esk65_2 @ (setunion @ esk74_0) @ X1)!=(esk64_2 @ (setunion @ esk74_0) @ X1))|~((X1 @ esk76_0)))), inference(spm,[status(thm)],[c_0_253, c_0_251])).
953.48/127.39	thf(c_0_262, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:((((dsetconstr @ X2 @ X1)=(setadjoin @ (esk66_2 @ X2 @ X1) @ emptyset))|~((in @ X3 @ X2))|~((X1 @ X3))|((esk64_2 @ X2 @ X1)!=(esk65_2 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_239])).
953.48/127.39	thf(c_0_263, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(esk76_0))|((kpair @ X3 @ X2)!=(esk74_0)))), inference(spm,[status(thm)],[c_0_254, c_0_245])).
953.48/127.39	thf(c_0_264, plain, ![X2:$i]:((((kpair @ esk75_0 @ X2)=(esk74_0))|~((epred2_0 @ X2)))), inference(rw,[status(thm)],[c_0_255, c_0_248])).
953.48/127.39	thf(c_0_265, negated_conjecture, ![X1:$i > $o]:((((setadjoin @ (esk66_2 @ (setunion @ esk74_0) @ X1) @ emptyset)=(dsetconstr @ (setunion @ esk74_0) @ X1))|(X1 @ (esk64_2 @ (setunion @ esk74_0) @ X1))|~((X1 @ esk76_0)))), inference(spm,[status(thm)],[c_0_256, c_0_251])).
953.48/127.39	thf(c_0_266, negated_conjecture, ((epred2_0 @ (esk64_2 @ (setunion @ esk74_0) @ epred2_0))|((setadjoin @ (esk66_2 @ (setunion @ esk74_0) @ epred2_0) @ emptyset)!=(dsetconstr @ (setunion @ esk74_0) @ epred2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257, c_0_258]), c_0_259])])).
953.48/127.39	thf(c_0_267, negated_conjecture, ![X1:$i > $o, X2:$i, X3:$i]:((((dsetconstr @ X2 @ X1)=(setadjoin @ (esk66_2 @ X2 @ X1) @ emptyset))|(X1 @ (esk65_2 @ X2 @ X1))|~((in @ X3 @ X2))|~((X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_239])).
953.48/127.39	thf(c_0_268, negated_conjecture, ![X1:$i > $o]:(((in @ (esk66_2 @ (setunion @ esk74_0) @ X1) @ (dsetconstr @ (setunion @ esk74_0) @ X1))|(X1 @ (esk65_2 @ (setunion @ esk74_0) @ X1))|~((X1 @ esk76_0)))), inference(spm,[status(thm)],[c_0_260, c_0_251])).
953.48/127.39	thf(c_0_269, negated_conjecture, (((setadjoin @ (esk66_2 @ (setunion @ esk74_0) @ epred2_0) @ emptyset)!=(dsetconstr @ (setunion @ esk74_0) @ epred2_0))|((esk65_2 @ (setunion @ esk74_0) @ epred2_0)!=(esk64_2 @ (setunion @ esk74_0) @ epred2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257, c_0_261]), c_0_259])])).
953.48/127.39	thf(c_0_270, negated_conjecture, ![X1:$i > $o]:((((setadjoin @ (esk66_2 @ (setunion @ esk74_0) @ X1) @ emptyset)=(dsetconstr @ (setunion @ esk74_0) @ X1))|((esk65_2 @ (setunion @ esk74_0) @ X1)!=(esk64_2 @ (setunion @ esk74_0) @ X1))|~((X1 @ esk76_0)))), inference(spm,[status(thm)],[c_0_262, c_0_251])).
953.48/127.39	thf(c_0_271, plain, ![X2:$i]:((((X2)=(esk76_0))|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_263, c_0_264])).
953.48/127.39	thf(c_0_272, negated_conjecture, (epred2_0 @ (esk64_2 @ (setunion @ esk74_0) @ epred2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265, c_0_259]), c_0_266])).
953.48/127.39	thf(c_0_273, negated_conjecture, ![X1:$i > $o]:((((setadjoin @ (esk66_2 @ (setunion @ esk74_0) @ X1) @ emptyset)=(dsetconstr @ (setunion @ esk74_0) @ X1))|(X1 @ (esk65_2 @ (setunion @ esk74_0) @ X1))|~((X1 @ esk76_0)))), inference(spm,[status(thm)],[c_0_267, c_0_251])).
953.48/127.39	thf(c_0_274, negated_conjecture, ((epred2_0 @ (esk65_2 @ (setunion @ esk74_0) @ epred2_0))|((setadjoin @ (esk66_2 @ (setunion @ esk74_0) @ epred2_0) @ emptyset)!=(dsetconstr @ (setunion @ esk74_0) @ epred2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257, c_0_268]), c_0_259])])).
953.48/127.39	thf(c_0_275, negated_conjecture, ((esk65_2 @ (setunion @ esk74_0) @ epred2_0)!=(esk64_2 @ (setunion @ esk74_0) @ epred2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269, c_0_270]), c_0_259])])).
953.48/127.39	thf(c_0_276, plain, ((esk64_2 @ (setunion @ esk74_0) @ epred2_0)=(esk76_0)), inference(spm,[status(thm)],[c_0_271, c_0_272])).
953.48/127.39	thf(c_0_277, negated_conjecture, (epred2_0 @ (esk65_2 @ (setunion @ esk74_0) @ epred2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273, c_0_259]), c_0_274])).
953.48/127.39	thf(c_0_278, negated_conjecture, ((esk65_2 @ (setunion @ esk74_0) @ epred2_0)!=(esk76_0)), inference(rw,[status(thm)],[c_0_275, c_0_276])).
953.48/127.39	thf(c_0_279, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271, c_0_277]), c_0_278]), ['proof']).
953.48/127.39	# SZS output end CNFRefutation
953.48/127.39	# Parsed axioms                        : 379
953.48/127.39	# Removed by relevancy pruning/SinE    : 0
953.48/127.39	# Initial clauses                      : 537
953.48/127.39	# Removed in clause preprocessing      : 225
953.48/127.39	# Initial clauses in saturation        : 312
953.48/127.39	# Processed clauses                    : 10705
953.48/127.39	# ...of these trivial                  : 52
953.48/127.39	# ...subsumed                          : 3980
953.48/127.39	# ...remaining for further processing  : 6672
953.48/127.39	# Other redundant clauses eliminated   : 108
953.48/127.39	# Clauses deleted for lack of memory   : 14490
953.48/127.39	# Backward-subsumed                    : 144
953.48/127.39	# Backward-rewritten                   : 58
953.48/127.39	# Generated clauses                    : 3345174
953.48/127.39	# ...of the previous two non-redundant : 3335988
953.48/127.39	# ...aggressively subsumed             : 0
953.48/127.39	# Contextual simplify-reflections      : 34
953.48/127.39	# Paramodulations                      : 3344931
953.48/127.39	# Factorizations                       : 130
953.48/127.39	# NegExts                              : 0
953.48/127.39	# Equation resolutions                 : 113
953.48/127.39	# Total rewrite steps                  : 35022
953.48/127.39	# Propositional unsat checks           : 0
953.48/127.39	#    Propositional check models        : 0
953.48/127.39	#    Propositional check unsatisfiable : 0
953.48/127.39	#    Propositional clauses             : 0
953.48/127.39	#    Propositional clauses after purity: 0
953.48/127.39	#    Propositional unsat core size     : 0
953.48/127.39	#    Propositional preprocessing time  : 0.000
953.48/127.39	#    Propositional encoding time       : 0.000
953.48/127.39	#    Propositional solver time         : 0.000
953.48/127.39	#    Success case prop preproc time    : 0.000
953.48/127.39	#    Success case prop encoding time   : 0.000
953.48/127.39	#    Success case prop solver time     : 0.000
953.48/127.39	# Current number of processed clauses  : 6182
953.48/127.39	#    Positive orientable unit clauses  : 107
953.48/127.39	#    Positive unorientable unit clauses: 1
953.48/127.39	#    Negative unit clauses             : 167
953.48/127.39	#    Non-unit-clauses                  : 5907
953.48/127.39	# Current number of unprocessed clauses: 1455697
953.48/127.39	# ...number of literals in the above   : 8178085
953.48/127.39	# Current number of archived formulas  : 0
953.48/127.39	# Current number of archived clauses   : 473
953.48/127.39	# Clause-clause subsumption calls (NU) : 5002041
953.48/127.39	# Rec. Clause-clause subsumption calls : 794735
953.48/127.39	# Non-unit clause-clause subsumptions  : 3088
953.48/127.39	# Unit Clause-clause subsumption calls : 65866
953.48/127.39	# Rewrite failures with RHS unbound    : 0
953.48/127.39	# BW rewrite match attempts            : 98
953.48/127.39	# BW rewrite match successes           : 38
953.48/127.39	# Condensation attempts                : 10707
953.48/127.39	# Condensation successes               : 103
953.48/127.39	# Termbank termtop insertions          : 112374712
953.48/127.39	
953.48/127.39	# -------------------------------------------------
953.48/127.39	# User time                : 321.877 s
953.48/127.39	# System time              : 6.404 s
953.48/127.39	# Total time               : 328.282 s
953.48/127.39	# Maximum resident set size: 5652 pages
954.20/127.64	
954.20/127.64	# -------------------------------------------------
954.20/127.64	# User time                : 438.734 s
954.20/127.64	# System time              : 9.192 s
954.20/127.64	# Total time               : 447.926 s
954.20/127.64	# Maximum resident set size: 2200 pages
954.20/127.64	% E---3.1 exiting
954.20/127.64	EOF