0.08/0.13	% Problem    : Vampire---4.8_2023 : TPTP v0.0.0. Released v0.0.0.
0.08/0.13	% Command    : run_E %s %d THM
0.12/0.33	% Computer : n007.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1440
0.12/0.33	% WCLimit    : 180
0.12/0.33	% DateTime   : Mon Jul  3 12:56:58 EDT 2023
0.12/0.34	% CPUTime    : 
0.18/0.47	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.i52aeLLDCi/Vampire---4.8_2023
0.18/0.47	# Version: 3.1pre001-ho
0.18/0.58	# Preprocessing class: HSLMSLSSLLLCHSA.
0.18/0.58	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.18/0.58	# Starting ho_unfolding_5 with 720s (4) cores
0.18/0.58	# Starting pre_casc_3 with 180s (1) cores
0.18/0.58	# Starting new_ho_10_cnf2 with 180s (1) cores
0.18/0.58	# Starting full_lambda_10 with 180s (1) cores
0.18/0.58	# Starting ehoh_best_nonlift_rwall with 180s (1) cores
0.18/0.58	# ehoh_best_nonlift_rwall with pid 2214 completed with status 0
0.18/0.58	# Result found by ehoh_best_nonlift_rwall
0.18/0.58	# Preprocessing class: HSLMSLSSLLLCHSA.
0.18/0.58	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.18/0.58	# Starting ho_unfolding_5 with 720s (4) cores
0.18/0.58	# Starting pre_casc_3 with 180s (1) cores
0.18/0.58	# Starting new_ho_10_cnf2 with 180s (1) cores
0.18/0.58	# Starting full_lambda_10 with 180s (1) cores
0.18/0.58	# Starting ehoh_best_nonlift_rwall with 180s (1) cores
0.18/0.58	# No SInE strategy applied
0.18/0.58	# Search class: HGHSM-FSLM31-DHSMMSBN
0.18/0.58	# partial match(1): HGHSM-FSLM31-MHSMMSBN
0.18/0.58	# Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
0.18/0.58	# Starting new_ho_10_cnf2 with 105s (1) cores
0.18/0.58	# new_ho_10_cnf2 with pid 2217 completed with status 0
0.18/0.58	# Result found by new_ho_10_cnf2
0.18/0.58	# Preprocessing class: HSLMSLSSLLLCHSA.
0.18/0.58	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.18/0.58	# Starting ho_unfolding_5 with 720s (4) cores
0.18/0.58	# Starting pre_casc_3 with 180s (1) cores
0.18/0.58	# Starting new_ho_10_cnf2 with 180s (1) cores
0.18/0.58	# Starting full_lambda_10 with 180s (1) cores
0.18/0.58	# Starting ehoh_best_nonlift_rwall with 180s (1) cores
0.18/0.58	# No SInE strategy applied
0.18/0.58	# Search class: HGHSM-FSLM31-DHSMMSBN
0.18/0.58	# partial match(1): HGHSM-FSLM31-MHSMMSBN
0.18/0.58	# Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
0.18/0.58	# Starting new_ho_10_cnf2 with 105s (1) cores
0.18/0.58	# Preprocessing time       : 0.005 s
0.18/0.58	# Presaturation interreduction done
0.18/0.58	
0.18/0.58	# Proof found!
0.18/0.58	# SZS status Theorem
0.18/0.58	# SZS output start CNFRefutation
0.18/0.58	thf(decl_22, type, in: $i > $i > $o).
0.18/0.58	thf(decl_23, type, exu: ($i > $o) > $o).
0.18/0.58	thf(decl_24, type, setextAx: $o).
0.18/0.58	thf(decl_25, type, emptyset: $i).
0.18/0.58	thf(decl_26, type, emptysetAx: $o).
0.18/0.58	thf(decl_27, type, setadjoin: $i > $i > $i).
0.18/0.58	thf(decl_28, type, setadjoinAx: $o).
0.18/0.58	thf(decl_29, type, powerset: $i > $i).
0.18/0.58	thf(decl_30, type, powersetAx: $o).
0.18/0.58	thf(decl_31, type, setunion: $i > $i).
0.18/0.58	thf(decl_32, type, setunionAx: $o).
0.18/0.58	thf(decl_33, type, omega: $i).
0.18/0.58	thf(decl_34, type, omega0Ax: $o).
0.18/0.58	thf(decl_35, type, omegaSAx: $o).
0.18/0.58	thf(decl_36, type, omegaIndAx: $o).
0.18/0.58	thf(decl_37, type, replAx: $o).
0.18/0.58	thf(decl_38, type, foundationAx: $o).
0.18/0.58	thf(decl_39, type, wellorderingAx: $o).
0.18/0.58	thf(decl_40, type, descr: ($i > $o) > $i).
0.18/0.58	thf(decl_41, type, descrp: $o).
0.18/0.58	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_43, type, dsetconstrI: $o).
0.18/0.58	thf(decl_44, type, dsetconstrEL: $o).
0.18/0.58	thf(decl_45, type, dsetconstrER: $o).
0.18/0.58	thf(decl_46, type, exuE1: $o).
0.18/0.58	thf(decl_47, type, prop2set: $o > $i).
0.18/0.58	thf(decl_48, type, prop2setE: $o).
0.18/0.58	thf(decl_49, type, emptysetE: $o).
0.18/0.58	thf(decl_50, type, emptysetimpfalse: $o).
0.18/0.58	thf(decl_51, type, notinemptyset: $o).
0.18/0.58	thf(decl_52, type, exuE3e: $o).
0.18/0.58	thf(decl_53, type, setext: $o).
0.18/0.58	thf(decl_54, type, emptyI: $o).
0.18/0.58	thf(decl_55, type, noeltsimpempty: $o).
0.18/0.58	thf(decl_56, type, setbeta: $o).
0.18/0.58	thf(decl_57, type, nonempty: $i > $o).
0.18/0.58	thf(decl_58, type, nonemptyE1: $o).
0.18/0.58	thf(decl_59, type, nonemptyI: $o).
0.18/0.58	thf(decl_60, type, nonemptyI1: $o).
0.18/0.58	thf(decl_61, type, setadjoinIL: $o).
0.18/0.58	thf(decl_62, type, emptyinunitempty: $o).
0.18/0.58	thf(decl_63, type, setadjoinIR: $o).
0.18/0.58	thf(decl_64, type, setadjoinE: $o).
0.18/0.58	thf(decl_65, type, setadjoinOr: $o).
0.18/0.58	thf(decl_66, type, setoftrueEq: $o).
0.18/0.58	thf(decl_67, type, powersetI: $o).
0.18/0.58	thf(decl_68, type, emptyinPowerset: $o).
0.18/0.58	thf(decl_69, type, emptyInPowerset: $o).
0.18/0.58	thf(decl_70, type, powersetE: $o).
0.18/0.58	thf(decl_71, type, setunionI: $o).
0.18/0.58	thf(decl_72, type, setunionE: $o).
0.18/0.58	thf(decl_73, type, subPowSU: $o).
0.18/0.58	thf(decl_74, type, exuE2: $o).
0.18/0.58	thf(decl_75, type, nonemptyImpWitness: $o).
0.18/0.58	thf(decl_76, type, uniqinunit: $o).
0.18/0.58	thf(decl_77, type, notinsingleton: $o).
0.18/0.58	thf(decl_78, type, eqinunit: $o).
0.18/0.58	thf(decl_79, type, singletonsswitch: $o).
0.18/0.58	thf(decl_80, type, upairsetE: $o).
0.18/0.58	thf(decl_81, type, upairsetIL: $o).
0.18/0.58	thf(decl_82, type, upairsetIR: $o).
0.18/0.58	thf(decl_83, type, emptyE1: $o).
0.18/0.58	thf(decl_84, type, vacuousDall: $o).
0.18/0.58	thf(decl_85, type, quantDeMorgan1: $o).
0.18/0.58	thf(decl_86, type, quantDeMorgan2: $o).
0.18/0.58	thf(decl_87, type, quantDeMorgan3: $o).
0.18/0.58	thf(decl_88, type, quantDeMorgan4: $o).
0.18/0.58	thf(decl_89, type, prop2setI: $o).
0.18/0.58	thf(decl_90, type, set2prop: $i > $o).
0.18/0.58	thf(decl_91, type, prop2set2propI: $o).
0.18/0.58	thf(decl_92, type, notdexE: $o).
0.18/0.58	thf(decl_93, type, notdallE: $o).
0.18/0.58	thf(decl_94, type, exuI1: $o).
0.18/0.58	thf(decl_95, type, exuI3: $o).
0.18/0.58	thf(decl_96, type, exuI2: $o).
0.18/0.58	thf(decl_97, type, inCongP: $o).
0.18/0.58	thf(decl_98, type, in__Cong: $o).
0.18/0.58	thf(decl_99, type, exuE3u: $o).
0.18/0.58	thf(decl_100, type, exu__Cong: $o).
0.18/0.58	thf(decl_101, type, emptyset__Cong: $o).
0.18/0.58	thf(decl_102, type, setadjoin__Cong: $o).
0.18/0.58	thf(decl_103, type, powerset__Cong: $o).
0.18/0.58	thf(decl_104, type, setunion__Cong: $o).
0.18/0.58	thf(decl_105, type, omega__Cong: $o).
0.18/0.58	thf(decl_106, type, exuEu: $o).
0.18/0.58	thf(decl_107, type, descr__Cong: $o).
0.18/0.58	thf(decl_108, type, dsetconstr__Cong: $o).
0.18/0.58	thf(decl_109, type, subset: $i > $i > $o).
0.18/0.58	thf(decl_112, type, subsetI1: $o).
0.18/0.58	thf(decl_113, type, eqimpsubset2: $o).
0.18/0.58	thf(decl_114, type, eqimpsubset1: $o).
0.18/0.58	thf(decl_115, type, subsetI2: $o).
0.18/0.58	thf(decl_116, type, emptysetsubset: $o).
0.18/0.58	thf(decl_117, type, subsetE: $o).
0.18/0.58	thf(decl_118, type, subsetE2: $o).
0.18/0.58	thf(decl_119, type, notsubsetI: $o).
0.18/0.58	thf(decl_120, type, notequalI1: $o).
0.18/0.58	thf(decl_121, type, notequalI2: $o).
0.18/0.58	thf(decl_122, type, subsetRefl: $o).
0.18/0.58	thf(decl_123, type, subsetTrans: $o).
0.18/0.58	thf(decl_124, type, setadjoinSub: $o).
0.18/0.58	thf(decl_125, type, setadjoinSub2: $o).
0.18/0.58	thf(decl_126, type, subset2powerset: $o).
0.18/0.58	thf(decl_127, type, setextsub: $o).
0.18/0.58	thf(decl_128, type, subsetemptysetimpeq: $o).
0.18/0.58	thf(decl_129, type, powersetI1: $o).
0.18/0.58	thf(decl_130, type, powersetE1: $o).
0.18/0.58	thf(decl_131, type, inPowerset: $o).
0.18/0.58	thf(decl_132, type, powersetsubset: $o).
0.18/0.58	thf(decl_133, type, sepInPowerset: $o).
0.18/0.58	thf(decl_134, type, sepSubset: $o).
0.18/0.58	thf(decl_135, type, binunion: $i > $i > $i).
0.18/0.58	thf(decl_136, type, binunionIL: $o).
0.18/0.58	thf(decl_137, type, upairset2IR: $o).
0.18/0.58	thf(decl_138, type, binunionIR: $o).
0.18/0.58	thf(decl_139, type, binunionEcases: $o).
0.18/0.58	thf(decl_140, type, binunionE: $o).
0.18/0.58	thf(decl_141, type, binunionLsub: $o).
0.18/0.58	thf(decl_142, type, binunionRsub: $o).
0.18/0.58	thf(decl_143, type, binintersect: $i > $i > $i).
0.18/0.58	thf(decl_144, type, binintersectI: $o).
0.18/0.58	thf(decl_145, type, binintersectSubset5: $o).
0.18/0.58	thf(decl_146, type, binintersectEL: $o).
0.18/0.58	thf(decl_147, type, binintersectLsub: $o).
0.18/0.58	thf(decl_148, type, binintersectSubset2: $o).
0.18/0.58	thf(decl_149, type, binintersectSubset3: $o).
0.18/0.58	thf(decl_150, type, binintersectER: $o).
0.18/0.58	thf(decl_151, type, disjointsetsI1: $o).
0.18/0.58	thf(decl_152, type, binintersectRsub: $o).
0.18/0.58	thf(decl_153, type, binintersectSubset4: $o).
0.18/0.58	thf(decl_154, type, binintersectSubset1: $o).
0.18/0.58	thf(decl_155, type, bs114d: $o).
0.18/0.58	thf(decl_157, type, setminus: $i > $i > $i).
0.18/0.58	thf(decl_158, type, setminusI: $o).
0.18/0.58	thf(decl_159, type, setminusEL: $o).
0.18/0.58	thf(decl_160, type, setminusER: $o).
0.18/0.58	thf(decl_161, type, setminusSubset2: $o).
0.18/0.58	thf(decl_162, type, setminusERneg: $o).
0.18/0.58	thf(decl_163, type, setminusELneg: $o).
0.18/0.58	thf(decl_164, type, setminusILneg: $o).
0.18/0.58	thf(decl_165, type, setminusIRneg: $o).
0.18/0.58	thf(decl_166, type, setminusLsub: $o).
0.18/0.58	thf(decl_167, type, setminusSubset1: $o).
0.18/0.58	thf(decl_168, type, symdiff: $i > $i > $i).
0.18/0.58	thf(decl_169, type, symdiffE: $o).
0.18/0.58	thf(decl_170, type, symdiffI1: $o).
0.18/0.58	thf(decl_171, type, symdiffI2: $o).
0.18/0.58	thf(decl_172, type, symdiffIneg1: $o).
0.18/0.58	thf(decl_173, type, symdiffIneg2: $o).
0.18/0.58	thf(decl_174, type, iskpair: $i > $o).
0.18/0.58	thf(decl_175, type, secondinupair: $o).
0.18/0.58	thf(decl_176, type, setukpairIL: $o).
0.18/0.58	thf(decl_177, type, setukpairIR: $o).
0.18/0.58	thf(decl_178, type, kpairiskpair: $o).
0.18/0.58	thf(decl_179, type, kpair: $i > $i > $i).
0.18/0.58	thf(decl_180, type, kpairp: $o).
0.18/0.58	thf(decl_181, type, cartprod: $i > $i > $i).
0.18/0.58	thf(decl_182, type, singletonsubset: $o).
0.18/0.58	thf(decl_183, type, singletoninpowerset: $o).
0.18/0.58	thf(decl_184, type, singletoninpowunion: $o).
0.18/0.58	thf(decl_185, type, upairset2E: $o).
0.18/0.58	thf(decl_186, type, upairsubunion: $o).
0.18/0.58	thf(decl_187, type, upairinpowunion: $o).
0.18/0.58	thf(decl_188, type, ubforcartprodlem1: $o).
0.18/0.58	thf(decl_189, type, ubforcartprodlem2: $o).
0.18/0.58	thf(decl_190, type, ubforcartprodlem3: $o).
0.18/0.58	thf(decl_191, type, cartprodpairin: $o).
0.18/0.58	thf(decl_192, type, cartprodmempair1: $o).
0.18/0.58	thf(decl_193, type, cartprodmempair: $o).
0.18/0.58	thf(decl_194, type, setunionE2: $o).
0.18/0.58	thf(decl_195, type, setunionsingleton1: $o).
0.18/0.58	thf(decl_196, type, setunionsingleton2: $o).
0.18/0.58	thf(decl_197, type, setunionsingleton: $o).
0.18/0.58	thf(decl_198, type, singleton: $i > $o).
0.18/0.58	thf(decl_199, type, singletonprop: $o).
0.18/0.58	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
0.18/0.58	thf(decl_201, type, ex1E1: $o).
0.18/0.58	thf(decl_202, type, ex1I: $o).
0.18/0.58	thf(decl_203, type, ex1I2: $o).
0.18/0.58	thf(decl_204, type, singletonsuniq: $o).
0.18/0.58	thf(decl_209, type, setukpairinjL1: $o).
0.18/0.58	thf(decl_210, type, kfstsingleton: $o).
0.18/0.58	thf(decl_211, type, theprop: $o).
0.18/0.58	thf(decl_212, type, kfst: $i > $i).
0.18/0.58	thf(decl_213, type, kfstpairEq: $o).
0.18/0.58	thf(decl_214, type, cartprodfstin: $o).
0.18/0.58	thf(decl_215, type, setukpairinjL2: $o).
0.18/0.58	thf(decl_216, type, setukpairinjL: $o).
0.18/0.58	thf(decl_217, type, setukpairinjR11: $o).
0.18/0.58	thf(decl_218, type, setukpairinjR12: $o).
0.18/0.58	thf(decl_219, type, setukpairinjR1: $o).
0.18/0.58	thf(decl_220, type, upairequniteq: $o).
0.18/0.58	thf(decl_221, type, setukpairinjR2: $o).
0.18/0.58	thf(decl_222, type, setukpairinjR: $o).
0.18/0.58	thf(decl_223, type, ksndsingleton: $o).
0.18/0.58	thf(decl_224, type, ksnd: $i > $i).
0.18/0.58	thf(decl_225, type, ksndpairEq: $o).
0.18/0.58	thf(decl_226, type, kpairsurjEq: $o).
0.18/0.58	thf(decl_227, type, cartprodsndin: $o).
0.18/0.58	thf(decl_228, type, cartprodpairmemEL: $o).
0.18/0.58	thf(decl_229, type, cartprodpairmemER: $o).
0.18/0.58	thf(decl_230, type, cartprodmempaircEq: $o).
0.18/0.58	thf(decl_231, type, cartprodfstpairEq: $o).
0.18/0.58	thf(decl_232, type, cartprodsndpairEq: $o).
0.18/0.58	thf(decl_233, type, cartprodpairsurjEq: $o).
0.18/0.58	thf(decl_234, type, breln: $i > $i > $i > $o).
0.18/0.58	thf(decl_235, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
0.18/0.58	thf(decl_236, type, dpsetconstrI: $o).
0.18/0.58	thf(decl_237, type, dpsetconstrSub: $o).
0.18/0.58	thf(decl_238, type, setOfPairsIsBReln: $o).
0.18/0.58	thf(decl_239, type, dpsetconstrERa: $o).
0.18/0.58	thf(decl_240, type, epred1_0: $o).
0.18/0.58	thf(decl_241, type, esk1_2: $i > $i > $i).
0.18/0.58	thf(decl_242, type, esk2_2: $i > $i > $i).
0.18/0.58	thf(decl_243, type, esk3_2: $i > $i > $i).
0.18/0.58	thf(decl_244, type, esk4_1: $i > $i).
0.18/0.58	thf(decl_245, type, esk5_2: ($i > $i > $o) > $i > $i).
0.18/0.58	thf(decl_246, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
0.18/0.58	thf(decl_247, type, esk7_2: ($i > $i > $o) > $i > $i).
0.18/0.58	thf(decl_248, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
0.18/0.58	thf(decl_249, type, esk9_1: $i > $i).
0.18/0.58	thf(decl_250, type, esk10_2: ($i > $o) > $i > $i).
0.18/0.58	thf(decl_251, type, esk11_2: ($i > $o) > $i > $i).
0.18/0.58	thf(decl_252, type, esk12_1: ($i > $o) > $i).
0.18/0.58	thf(decl_253, type, esk13_2: ($i > $o) > $i > $i).
0.18/0.58	thf(decl_254, type, esk14_1: ($i > $o) > $i).
0.18/0.58	thf(decl_255, type, esk15_2: $i > $i > $i).
0.18/0.58	thf(decl_256, type, esk16_2: $i > $i > $i).
0.18/0.58	thf(decl_257, type, esk17_1: $i > $i).
0.18/0.58	thf(decl_258, type, esk18_1: $i > $i).
0.18/0.58	thf(decl_259, type, esk19_1: $i > $i).
0.18/0.58	thf(decl_260, type, esk20_2: $i > $i > $i).
0.18/0.58	thf(decl_261, type, esk21_3: $i > $i > $o > $i).
0.18/0.58	thf(decl_262, type, esk22_2: ($i > $o) > $i > $i).
0.18/0.58	thf(decl_263, type, esk23_1: ($i > $o) > $i).
0.18/0.58	thf(decl_264, type, esk24_1: $i > $i).
0.18/0.58	thf(decl_265, type, esk25_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_266, type, esk26_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_267, type, esk27_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_268, type, esk28_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_269, type, esk29_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_270, type, esk30_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_271, type, esk31_2: ($i > $o) > $i > $i).
0.18/0.58	thf(decl_272, type, esk32_1: ($i > $o) > $i).
0.18/0.58	thf(decl_273, type, esk33_1: ($i > $o) > $i).
0.18/0.58	thf(decl_274, type, esk34_1: ($i > $o) > $i).
0.18/0.58	thf(decl_275, type, esk35_1: ($i > $o) > $i).
0.18/0.58	thf(decl_276, type, esk36_2: ($i > $o) > $i > $i).
0.18/0.58	thf(decl_277, type, esk37_1: ($i > $o) > $i).
0.18/0.58	thf(decl_278, type, esk38_2: ($i > $o) > $i > $i).
0.18/0.58	thf(decl_279, type, esk39_2: ($i > $o) > ($i > $o) > $i).
0.18/0.58	thf(decl_280, type, esk40_2: ($i > $o) > ($i > $o) > $i).
0.18/0.58	thf(decl_281, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
0.18/0.58	thf(decl_282, type, esk42_2: ($i > $o) > ($i > $o) > $i).
0.18/0.58	thf(decl_283, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
0.18/0.58	thf(decl_284, type, esk44_2: ($i > $o) > ($i > $o) > $i).
0.18/0.58	thf(decl_285, type, esk45_2: ($i > $o) > $i > $i).
0.18/0.58	thf(decl_286, type, esk46_2: ($i > $o) > ($i > $o) > $i).
0.18/0.58	thf(decl_287, type, esk47_2: ($i > $o) > ($i > $o) > $i).
0.18/0.58	thf(decl_288, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
0.18/0.58	thf(decl_289, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
0.18/0.58	thf(decl_290, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.18/0.58	thf(decl_291, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.18/0.58	thf(decl_292, type, esk52_2: $i > $i > $i).
0.18/0.58	thf(decl_293, type, esk53_2: $i > $i > $i).
0.18/0.58	thf(decl_294, type, esk54_2: $i > $i > $i).
0.18/0.58	thf(decl_295, type, esk55_3: $i > $i > $i > $i).
0.18/0.58	thf(decl_296, type, esk56_3: $i > $i > $i > $i).
0.18/0.58	thf(decl_297, type, esk57_2: $i > $i > $i).
0.18/0.58	thf(decl_298, type, esk58_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_299, type, esk59_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_300, type, esk60_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_301, type, esk61_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_302, type, esk62_3: $i > ($i > $o) > $i > $i).
0.18/0.58	thf(decl_303, type, esk63_3: $i > ($i > $o) > $i > $i).
0.18/0.58	thf(decl_304, type, esk64_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_305, type, esk65_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_306, type, esk66_2: $i > ($i > $o) > $i).
0.18/0.58	thf(decl_307, type, esk67_1: $i > $i).
0.18/0.58	thf(decl_308, type, esk68_1: $i > $i).
0.18/0.58	thf(decl_309, type, esk69_0: $i).
0.18/0.58	thf(decl_310, type, esk70_0: $i).
0.18/0.58	thf(decl_311, type, epred2_0: $i > $i > $o).
0.18/0.58	thf(decl_312, type, esk71_0: $i).
0.18/0.58	thf(decl_313, type, esk72_0: $i).
0.18/0.58	thf(decl_319, type, esk78_0: $i).
0.18/0.58	thf(decl_320, type, esk79_0: $i).
0.18/0.58	thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', ex1)).
0.18/0.58	thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:(((in @ X2 @ X4)&((X4)=(setadjoin @ X2 @ emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', singleton)).
0.18/0.58	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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', replAx)).
0.18/0.58	thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', exu)).
0.18/0.58	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', descrp)).
0.18/0.58	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', exuE1)).
0.18/0.58	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', exuE3e)).
0.18/0.58	thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', nonempty)).
0.18/0.58	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', nonemptyI)).
0.18/0.58	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', exuE2)).
0.18/0.58	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.i52aeLLDCi/Vampire---4.8_2023', exuI1)).
0.18/0.58	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', exuI3)).
0.18/0.58	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', exuI2)).
0.18/0.58	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.i52aeLLDCi/Vampire---4.8_2023', exuE3u)).
0.18/0.58	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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', exu__Cong)).
0.18/0.58	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', exuEu)).
0.18/0.58	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', descr__Cong)).
0.18/0.58	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$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:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', singletonprop)).
0.18/0.58	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', ex1E1)).
0.18/0.58	thf(ex1I, axiom, ((ex1I)<=>![X4:$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.i52aeLLDCi/Vampire---4.8_2023', ex1I)).
0.18/0.58	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:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', ex1I2)).
0.18/0.58	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', kfstsingleton)).
0.18/0.58	thf(ksndsingleton, axiom, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:(((X18)=(kpair @ (kfst @ X18) @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', ksndsingleton)).
0.18/0.58	thf(dpsetconstrI, axiom, ((dpsetconstrI)<=>![X4:$i, X5:$i, X23:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X23 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X23 @ X14 @ X18))))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', dpsetconstrI)).
0.18/0.58	thf(dpsetconstr, axiom, ((dpsetconstr)=(^[X4:$i, X5:$i, X22:$i > $i > $o]:(dsetconstr @ (cartprod @ X4 @ X5) @ (^[X18:$i]:(?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:((((in @ X3 @ X5)&(X22 @ X2 @ X3))&((X18)=(kpair @ X2 @ X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', dpsetconstr)).
0.18/0.58	thf(dpsetconstrSub, axiom, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X24 @ X2 @ X3)))) @ (cartprod @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', dpsetconstrSub)).
0.18/0.58	thf(setOfPairsIsBReln, axiom, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X25:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[X2:$i, X3:$i]:((X25 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setOfPairsIsBReln)).
0.18/0.58	thf(breln, axiom, ((breln)=(^[X4:$i, X5:$i, X7:$i]:((subset @ X7 @ (cartprod @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', breln)).
0.18/0.58	thf(dpsetconstrERa, axiom, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X26 @ X14 @ X18)))))=>(X26 @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', dpsetconstrERa)).
0.18/0.58	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', dsetconstrI)).
0.18/0.58	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', dsetconstrEL)).
0.18/0.58	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', dsetconstrER)).
0.18/0.58	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setbeta)).
0.18/0.58	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', nonemptyE1)).
0.18/0.58	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', nonemptyI1)).
0.18/0.58	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setoftrueEq)).
0.18/0.58	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', nonemptyImpWitness)).
0.18/0.58	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.i52aeLLDCi/Vampire---4.8_2023', emptyE1)).
0.18/0.58	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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', dsetconstr__Cong)).
0.18/0.58	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', sepInPowerset)).
0.18/0.58	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', sepSubset)).
0.18/0.58	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', theprop)).
0.18/0.58	thf(dpsetconstrEL1, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>(((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>(((foundationAx)=>((wellorderingAx)=>(((((dsetconstrER)=>(((prop2setE)=>((emptysetE)=>(((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((((nonemptyI)=>((nonemptyI1)=>((((((setadjoinOr)=>((setoftrueEq)=>(((emptyinPowerset)=>(((powersetE)=>((setunionI)=>((setunionE)=>((((nonemptyImpWitness)=>((((eqinunit)=>((singletonsswitch)=>(((upairsetIL)=>((upairsetIR)=>((emptyE1)=>(((((quantDeMorgan3)=>((((((notdallE)=>((((exuI2)=>(((in__Cong)=>(((exu__Cong)=>(((setadjoin__Cong)=>((((omega__Cong)=>((exuEu)=>((descr__Cong)=>(((((eqimpsubset1)=>(((((subsetE2)=>(((notequalI1)=>((notequalI2)=>(((subsetTrans)=>(((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>(((powersetI1)=>(((((sepInPowerset)=>(((binunionIL)=>((upairset2IR)=>(((((binunionLsub)=>((((binintersectSubset5)=>((binintersectEL)=>((((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>(((binintersectSubset4)=>((((setminusI)=>((setminusEL)=>((setminusER)=>((((setminusELneg)=>(((setminusIRneg)=>((((symdiffE)=>((symdiffI1)=>((((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>(((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>((upairinpowunion)=>(((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>(((cartprodmempair)=>(((setunionsingleton1)=>((setunionsingleton2)=>((((ex1E1)=>((ex1I)=>(((singletonsuniq)=>((setukpairinjL1)=>((kfstsingleton)=>((((cartprodfstin)=>(((setukpairinjL)=>(((setukpairinjR12)=>(((upairequniteq)=>((setukpairinjR2)=>((setukpairinjR)=>(((ksndpairEq)=>(((((cartprodpairmemER)=>((((cartprodsndpairEq)=>((cartprodpairsurjEq)=>((((setOfPairsIsBReln)=>((dpsetconstrERa)=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[X14:$i, X18:$i]:((X27 @ X14 @ X18)))))=>(in @ X2 @ X4)))))<=(dpsetconstrSub))<=(dpsetconstrI))))<=(cartprodfstpairEq))<=(cartprodmempaircEq)))<=(cartprodpairmemEL))<=(cartprodsndin))<=(kpairsurjEq)))<=(ksndsingleton)))))<=(setukpairinjR1)))<=(setukpairinjR11)))<=(setukpairinjL2)))<=(kfstpairEq))<=(theprop)))))<=(ex1I2))))<=(singletonprop))<=(setunionsingleton))))<=(setunionE2)))<=(cartprodmempair1)))))<=(ubforcartprodlem1)))))))<=(singletonsubset))))))))<=(symdiffIneg1))<=(symdiffI2))))<=(setminusSubset1))<=(setminusLsub)))<=(setminusILneg)))<=(setminusERneg))<=(setminusSubset2)))))<=(bs114d))<=(binintersectSubset1)))<=(binintersectRsub)))))<=(binintersectSubset2))<=(binintersectLsub))))<=(binintersectI))<=(binunionRsub)))<=(binunionE))<=(binunionEcases))<=(binunionIR))))<=(sepSubset)))<=(powersetsubset))<=(inPowerset))<=(powersetE1)))<=(subsetemptysetimpeq)))))<=(setadjoinSub)))<=(subsetRefl))))<=(notsubsetI)))<=(subsetE))<=(emptysetsubset))<=(subsetI2)))<=(eqimpsubset2))<=(subsetI1))<=(dsetconstr__Cong)))))<=(setunion__Cong))<=(powerset__Cong)))<=(emptyset__Cong)))<=(exuE3u)))<=(inCongP)))<=(exuI3))<=(exuI1)))<=(notdexE))<=(prop2set2propI))<=(prop2setI))<=(quantDeMorgan4)))<=(quantDeMorgan2))<=(quantDeMorgan1))<=(vacuousDall)))))<=(upairsetE))))<=(notinsingleton))<=(uniqinunit)))<=(exuE2))<=(subPowSU)))))<=(emptyInPowerset)))<=(powersetI))))<=(setadjoinE))<=(setadjoinIR))<=(emptyinunitempty))<=(setadjoinIL))))<=(nonemptyE1))<=(setbeta)))))))<=(emptysetimpfalse))))<=(exuE1)))<=(dsetconstrEL))<=(dsetconstrI))<=(descrp))))<=(replAx))))))<=(powersetAx))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', dpsetconstrEL1)).
0.18/0.58	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setextAx)).
0.18/0.58	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', emptysetAx)).
0.18/0.58	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setadjoinAx)).
0.18/0.58	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', powersetAx)).
0.18/0.58	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setunionAx)).
0.18/0.58	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', omega0Ax)).
0.18/0.58	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', omegaSAx)).
0.18/0.58	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.i52aeLLDCi/Vampire---4.8_2023', omegaIndAx)).
0.18/0.58	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.i52aeLLDCi/Vampire---4.8_2023', foundationAx)).
0.18/0.58	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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', wellorderingAx)).
0.18/0.58	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', prop2setE)).
0.18/0.58	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', emptysetE)).
0.18/0.58	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', emptysetimpfalse)).
0.18/0.58	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', notinemptyset)).
0.18/0.58	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.i52aeLLDCi/Vampire---4.8_2023', setext)).
0.18/0.58	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', emptyI)).
0.18/0.58	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', noeltsimpempty)).
0.18/0.58	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setadjoinIL)).
0.18/0.58	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', emptyinunitempty)).
0.18/0.58	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setadjoinIR)).
0.18/0.58	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setadjoinE)).
0.18/0.58	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setadjoinOr)).
0.18/0.58	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', powersetI)).
0.18/0.58	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', emptyinPowerset)).
0.18/0.58	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', emptyInPowerset)).
0.18/0.58	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', powersetE)).
0.18/0.58	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setunionI)).
0.18/0.58	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setunionE)).
0.18/0.58	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', subPowSU)).
0.18/0.58	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', uniqinunit)).
0.18/0.58	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', notinsingleton)).
0.18/0.58	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', eqinunit)).
0.18/0.58	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', singletonsswitch)).
0.18/0.58	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', upairsetE)).
0.18/0.58	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', upairsetIL)).
0.18/0.58	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', upairsetIR)).
0.18/0.58	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', vacuousDall)).
0.18/0.58	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', quantDeMorgan1)).
0.18/0.58	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', quantDeMorgan2)).
0.18/0.58	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', quantDeMorgan3)).
0.18/0.58	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', quantDeMorgan4)).
0.18/0.58	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', prop2setI)).
0.18/0.58	thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', prop2set2propI)).
0.18/0.58	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', notdexE)).
0.18/0.58	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', notdallE)).
0.18/0.58	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', inCongP)).
0.18/0.58	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', in__Cong)).
0.18/0.58	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', emptyset__Cong)).
0.18/0.58	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setadjoin__Cong)).
0.18/0.58	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', powerset__Cong)).
0.18/0.58	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setunion__Cong)).
0.18/0.58	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', omega__Cong)).
0.18/0.58	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', subsetI1)).
0.18/0.58	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', eqimpsubset2)).
0.18/0.58	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', eqimpsubset1)).
0.18/0.58	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', subsetI2)).
0.18/0.58	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', emptysetsubset)).
0.18/0.58	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', subsetE)).
0.18/0.58	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', subsetE2)).
0.18/0.58	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', notsubsetI)).
0.18/0.58	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', notequalI1)).
0.18/0.58	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', notequalI2)).
0.18/0.58	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', subsetRefl)).
0.18/0.58	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', subsetTrans)).
0.18/0.58	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setadjoinSub)).
0.18/0.58	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setadjoinSub2)).
0.18/0.58	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', subset2powerset)).
0.18/0.58	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setextsub)).
0.18/0.58	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', subsetemptysetimpeq)).
0.18/0.58	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', powersetI1)).
0.18/0.58	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', powersetE1)).
0.18/0.58	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', inPowerset)).
0.18/0.58	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', powersetsubset)).
0.18/0.58	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binunionIL)).
0.18/0.58	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', upairset2IR)).
0.18/0.58	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binunionIR)).
0.18/0.58	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binunionEcases)).
0.18/0.58	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binunionE)).
0.18/0.58	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binunionLsub)).
0.18/0.58	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binunionRsub)).
0.18/0.58	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binintersectI)).
0.18/0.58	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binintersectSubset5)).
0.18/0.58	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binintersectEL)).
0.18/0.58	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binintersectLsub)).
0.18/0.58	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binintersectSubset2)).
0.18/0.58	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binintersectSubset3)).
0.18/0.58	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binintersectER)).
0.18/0.58	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', disjointsetsI1)).
0.18/0.58	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binintersectRsub)).
0.18/0.58	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binintersectSubset4)).
0.18/0.58	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', binintersectSubset1)).
0.18/0.58	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', bs114d)).
0.18/0.58	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setminusI)).
0.18/0.58	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setminusEL)).
0.18/0.58	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setminusER)).
0.18/0.58	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setminusSubset2)).
0.18/0.58	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setminusERneg)).
0.18/0.58	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setminusELneg)).
0.18/0.58	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setminusILneg)).
0.18/0.58	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setminusIRneg)).
0.18/0.58	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setminusLsub)).
0.18/0.58	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setminusSubset1)).
0.18/0.58	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', symdiffE)).
0.18/0.58	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', symdiffI1)).
0.18/0.58	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', symdiffI2)).
0.18/0.58	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', symdiffIneg1)).
0.18/0.58	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', symdiffIneg2)).
0.18/0.58	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', secondinupair)).
0.18/0.58	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setukpairIL)).
0.18/0.58	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setukpairIR)).
0.18/0.58	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', kpairiskpair)).
0.18/0.58	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', kpairp)).
0.18/0.58	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', singletonsubset)).
0.18/0.58	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', singletoninpowerset)).
0.18/0.58	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', singletoninpowunion)).
0.18/0.58	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', upairset2E)).
0.18/0.58	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', upairsubunion)).
0.18/0.58	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', upairinpowunion)).
0.18/0.58	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', ubforcartprodlem1)).
0.18/0.58	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', ubforcartprodlem2)).
0.18/0.58	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', ubforcartprodlem3)).
0.18/0.58	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', cartprodpairin)).
0.18/0.58	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$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.i52aeLLDCi/Vampire---4.8_2023', cartprodmempair1)).
0.18/0.58	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', cartprodmempair)).
0.18/0.58	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setunionE2)).
0.18/0.58	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setunionsingleton1)).
0.18/0.58	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setunionsingleton2)).
0.18/0.58	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setunionsingleton)).
0.18/0.58	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', singletonsuniq)).
0.18/0.58	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$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.i52aeLLDCi/Vampire---4.8_2023', setukpairinjL1)).
0.18/0.58	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', kfstpairEq)).
0.18/0.58	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', cartprodfstin)).
0.18/0.58	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setukpairinjL2)).
0.18/0.58	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setukpairinjL)).
0.18/0.58	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setukpairinjR11)).
0.18/0.58	thf(setukpairinjR12, axiom, ((setukpairinjR12)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setukpairinjR12)).
0.18/0.58	thf(setukpairinjR1, axiom, ((setukpairinjR1)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>(((X14)=(X18))=>((X3)=(X18)))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', setukpairinjR1)).
0.18/0.58	thf(upairequniteq, axiom, ((upairequniteq)<=>![X2:$i, X3:$i, X14:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X14 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', upairequniteq)).
0.18/0.58	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.i52aeLLDCi/Vampire---4.8_2023', setukpairinjR2)).
0.18/0.58	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.i52aeLLDCi/Vampire---4.8_2023', setukpairinjR)).
0.18/0.58	thf(ksndpairEq, axiom, ((ksndpairEq)<=>![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', ksndpairEq)).
0.18/0.58	thf(kpairsurjEq, axiom, ((kpairsurjEq)<=>![X18:$i]:(((iskpair @ X18)=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', kpairsurjEq)).
0.18/0.58	thf(cartprodsndin, axiom, ((cartprodsndin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (ksnd @ X18) @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', cartprodsndin)).
0.18/0.58	thf(cartprodpairmemEL, axiom, ((cartprodpairmemEL)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', cartprodpairmemEL)).
0.18/0.58	thf(cartprodpairmemER, axiom, ((cartprodpairmemER)<=>![X4:$i, X5:$i, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))=>(in @ X3 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', cartprodpairmemER)).
0.18/0.58	thf(cartprodmempaircEq, axiom, ((cartprodmempaircEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kpair @ X2 @ X3)=(kpair @ X2 @ X3))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', cartprodmempaircEq)).
0.18/0.58	thf(cartprodfstpairEq, axiom, ((cartprodfstpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((kfst @ (kpair @ X2 @ X3))=(X2))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', cartprodfstpairEq)).
0.18/0.58	thf(cartprodsndpairEq, axiom, ((cartprodsndpairEq)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((ksnd @ (kpair @ X2 @ X3))=(X3))))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', cartprodsndpairEq)).
0.18/0.58	thf(cartprodpairsurjEq, axiom, ((cartprodpairsurjEq)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>((kpair @ (kfst @ X18) @ (ksnd @ X18))=(X18))))), file('/export/starexec/sandbox2/tmp/tmp.i52aeLLDCi/Vampire---4.8_2023', cartprodpairsurjEq)).
0.18/0.58	thf(c_0_192, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X576:$i]:(((in @ X576 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X576 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[ex1])).
0.18/0.58	thf(c_0_193, plain, ((singleton)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&((Z0)=(setadjoin @ X2 @ emptyset))))))), inference(fof_simplification,[status(thm)],[singleton])).
0.18/0.58	thf(c_0_194, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.18/0.58	thf(c_0_195, plain, ((exu)=(^[Z0/* 5 */:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])).
0.18/0.58	thf(c_0_196, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.18/0.58	thf(c_0_197, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.18/0.58	thf(c_0_198, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.18/0.58	thf(c_0_199, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
0.18/0.58	thf(c_0_200, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.18/0.58	thf(c_0_201, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.18/0.58	thf(c_0_202, 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])).
0.18/0.58	thf(c_0_203, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.18/0.58	thf(c_0_204, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.18/0.58	thf(c_0_205, 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])).
0.18/0.58	thf(c_0_206, 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 */:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.18/0.58	thf(c_0_207, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.18/0.58	thf(c_0_208, 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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.18/0.58	thf(c_0_209, plain, ((singletonprop)<=>![X4:$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 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
0.18/0.58	thf(c_0_210, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
0.18/0.58	thf(c_0_211, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X576:$i]:(((in @ X576 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X576 @ emptyset)))))))), inference(apply_def,[status(thm)],[c_0_192, c_0_193])).
0.18/0.58	thf(c_0_212, 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])).
0.18/0.58	thf(c_0_213, 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 */:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
0.18/0.58	thf(c_0_214, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
0.18/0.58	thf(c_0_215, plain, ((ksndsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))))), inference(fof_simplification,[status(thm)],[ksndsingleton])).
0.18/0.58	thf(c_0_216, plain, ((dpsetconstrI)<=>![X4:$i, X5:$i, X23:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X23 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X23 @ Z0 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstrI])).
0.18/0.58	thf(c_0_217, plain, ((dpsetconstr)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i > $i > $o]:(dsetconstr @ (cartprod @ Z0 @ Z1) @ (^[Z3/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&?[X3:$i]:((((in @ X3 @ Z1)&(Z2 @ X2 @ X3))&((Z3)=(kpair @ X2 @ X3))))))))))), inference(fof_simplification,[status(thm)],[dpsetconstr])).
0.18/0.58	thf(c_0_218, plain, ((dpsetconstrSub)<=>![X4:$i, X5:$i, X24:$i > $i > $o]:((subset @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X24 @ Z0 @ Z1)))) @ (cartprod @ X4 @ X5)))), inference(fof_simplification,[status(thm)],[dpsetconstrSub])).
0.18/0.58	thf(c_0_219, plain, ((setOfPairsIsBReln)<=>![X4:$i, X5:$i, X25:$i > $i > $o]:((breln @ X4 @ X5 @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X25 @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[setOfPairsIsBReln])).
0.18/0.58	thf(c_0_220, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])).
0.18/0.58	thf(c_0_221, plain, ((dpsetconstrERa)<=>![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dpsetconstr @ X4 @ X5 @ (^[Z0/* 19 */:$i, Z1:$i]:((X26 @ Z0 @ Z1)))))=>(X26 @ X2 @ X3))))))), inference(fof_simplification,[status(thm)],[dpsetconstrERa])).
0.18/0.58	thf(c_0_222, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X547:$i]:((((X6 @ X2 @ X547))&![X548:$i]:((((X6 @ X2 @ X548))=>((X547)=(X548)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_194, c_0_195])).
0.18/0.58	thf(c_0_223, plain, ((descrp)=(![X1:$i > $o]:(((?[X549:$i]:((((X1 @ X549))&![X550:$i]:((((X1 @ X550))=>((X549)=(X550)))))))=>(X1 @ (descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_196, c_0_195])).
0.18/0.58	thf(c_0_224, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.18/0.58	thf(c_0_225, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.18/0.58	thf(c_0_226, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.18/0.58	thf(c_0_227, plain, ((exuE1)=(![X1:$i > $o]:(((?[X551:$i]:((((X1 @ X551))&![X552:$i]:((((X1 @ X552))=>((X551)=(X552)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_197, c_0_195])).
0.18/0.58	thf(c_0_228, plain, ((exuE3e)=(![X1:$i > $o]:(((?[X553:$i]:((((X1 @ X553))&![X554:$i]:((((X1 @ X554))=>((X553)=(X554)))))))=>?[X2:$i]:((X1 @ X2)))))), inference(apply_def,[status(thm)],[c_0_198, c_0_195])).
0.18/0.58	thf(c_0_229, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.18/0.58	thf(c_0_230, axiom, ((nonemptyE1)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:((in @ X2 @ X4)))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_199])).
0.18/0.58	thf(c_0_231, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_200, c_0_199])).
0.18/0.58	thf(c_0_232, axiom, ((nonemptyI1)=(![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(((X4)!=(emptyset))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_199])).
0.18/0.58	thf(c_0_233, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.18/0.58	thf(c_0_234, plain, ((exuE2)=(![X1:$i > $o]:(((?[X555:$i]:((((X1 @ X555))&![X556:$i]:((((X1 @ X556))=>((X555)=(X556)))))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2))))))))), inference(apply_def,[status(thm)],[c_0_201, c_0_195])).
0.18/0.58	thf(c_0_235, axiom, ((nonemptyImpWitness)=(![X4:$i]:(((((X4)!=(emptyset)))=>?[X2:$i]:(((in @ X2 @ X4)&($true))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_199])).
0.18/0.58	thf(c_0_236, 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])).
0.18/0.58	thf(c_0_237, plain, ((exuI1)=(![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(?[X557:$i]:((((X1 @ X557))&![X558:$i]:((((X1 @ X558))=>((X557)=(X558))))))))))), inference(apply_def,[status(thm)],[c_0_202, c_0_195])).
0.18/0.58	thf(c_0_238, plain, ((exuI3)=(![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(?[X559:$i]:((((X1 @ X559))&![X560:$i]:((((X1 @ X560))=>((X559)=(X560)))))))))))), inference(apply_def,[status(thm)],[c_0_203, c_0_195])).
0.18/0.58	thf(c_0_239, plain, ((exuI2)=(![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(?[X561:$i]:((((X1 @ X561))&![X562:$i]:((((X1 @ X562))=>((X561)=(X562))))))))))), inference(apply_def,[status(thm)],[c_0_204, c_0_195])).
0.18/0.58	thf(c_0_240, plain, ((exuE3u)=(![X1:$i > $o]:(((?[X563:$i]:((((X1 @ X563))&![X564:$i]:((((X1 @ X564))=>((X563)=(X564)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_205, c_0_195])).
0.18/0.58	thf(c_0_241, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X565:$i]:((((X1 @ X565))&![X566:$i]:((((X1 @ X566))=>((X565)=(X566)))))))<=>(?[X567:$i]:((((X17 @ X567))&![X568:$i]:((((X17 @ X568))=>((X567)=(X568)))))))))))), inference(apply_def,[status(thm)],[c_0_206, c_0_195])).
0.18/0.58	thf(c_0_242, plain, ((exuEu)=(![X1:$i > $o]:(((?[X569:$i]:((((X1 @ X569))&![X570:$i]:((((X1 @ X570))=>((X569)=(X570)))))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))), inference(apply_def,[status(thm)],[c_0_207, c_0_195])).
0.18/0.58	thf(c_0_243, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((?[X571:$i]:((((X1 @ X571))&![X572:$i]:((((X1 @ X572))=>((X571)=(X572)))))))=>((?[X573:$i]:((((X17 @ X573))&![X574:$i]:((((X17 @ X574))=>((X573)=(X574)))))))=>((descr @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(descr @ (^[Z0/* 3 */:$i]:((X17 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_208, c_0_195])).
0.18/0.58	thf(c_0_244, plain, ((dsetconstr__Cong)<=>![X4:$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 */:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.18/0.58	thf(c_0_245, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.18/0.58	thf(c_0_246, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.18/0.58	thf(c_0_247, 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)))=>(?[X575:$i]:(((in @ X575 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0)))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((X1 @ Z0))))=(setadjoin @ X575 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_209, c_0_193])).
0.18/0.58	thf(c_0_248, plain, ((ex1E1)=(![X4:$i, X1:$i > $o]:(((?[X577:$i]:(((in @ X577 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X577 @ emptyset)))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_210, c_0_211])).
0.18/0.58	thf(c_0_249, plain, ((ex1I)=(![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(?[X578:$i]:(((in @ X578 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X578 @ emptyset))))))))))), inference(apply_def,[status(thm)],[c_0_212, c_0_211])).
0.18/0.58	thf(c_0_250, 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)))=>(?[X579:$i]:(((in @ X579 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((X1 @ Z0)))))=(setadjoin @ X579 @ emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_213, c_0_211])).
0.18/0.58	thf(c_0_251, plain, ((kfstsingleton)=(![X18:$i]:(((iskpair @ X18)=>(?[X580:$i]:(((in @ X580 @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))&((dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18))))=(setadjoin @ X580 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_214, c_0_193])).
0.18/0.58	thf(c_0_252, axiom, ((theprop)=(![X21:$i]:(((?[X581:$i]:(((in @ X581 @ X21)&((X21)=(setadjoin @ X581 @ emptyset)))))=>(in @ (setunion @ X21) @ X21))))), inference(apply_def,[status(thm)],[theprop, c_0_193])).
0.18/0.58	thf(c_0_253, plain, ((ksndsingleton)=(![X18:$i]:(((iskpair @ X18)=>(?[X582:$i]:(((in @ X582 @ (dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0))))))&((dsetconstr @ (setunion @ X18) @ (^[Z0/* 3 */:$i]:(((X18)=(kpair @ (kfst @ X18) @ Z0)))))=(setadjoin @ X582 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_215, c_0_193])).
0.18/0.58	thf(c_0_254, plain, ((dpsetconstrI)=(![X4:$i, X5:$i, X23:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((X23 @ X2 @ X3)=>(in @ (kpair @ X2 @ X3) @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X583:$i]:(((in @ X583 @ X4)&?[X584:$i]:((((in @ X584 @ X5)&((X23 @ X583 @ X584)))&((Z0)=(kpair @ X583 @ X584))))))))))))))))), inference(apply_def,[status(thm)],[c_0_216, c_0_217])).
0.18/0.58	thf(c_0_255, plain, ((dpsetconstrSub)=(![X4:$i, X5:$i, X24:$i > $i > $o]:((subset @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X585:$i]:(((in @ X585 @ X4)&?[X586:$i]:((((in @ X586 @ X5)&((X24 @ X585 @ X586)))&((Z0)=(kpair @ X585 @ X586))))))))) @ (cartprod @ X4 @ X5))))), inference(apply_def,[status(thm)],[c_0_218, c_0_217])).
0.18/0.58	thf(c_0_256, plain, ((setOfPairsIsBReln)=(![X4:$i, X5:$i, X25:$i > $i > $o]:(((subset @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X587:$i]:(((in @ X587 @ X4)&?[X588:$i]:((((in @ X588 @ X5)&((X25 @ X587 @ X588)))&((Z0)=(kpair @ X587 @ X588))))))))) @ (cartprod @ X4 @ X5)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_219, c_0_220]), c_0_217])).
0.18/0.58	thf(c_0_257, plain, ((dpsetconstrERa)=(![X4:$i, X5:$i, X26:$i > $i > $o, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>((in @ (kpair @ X2 @ X3) @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X589:$i]:(((in @ X589 @ X4)&?[X590:$i]:((((in @ X590 @ X5)&((X26 @ X589 @ X590)))&((Z0)=(kpair @ X589 @ X590))))))))))=>(X26 @ X2 @ X3)))))))), inference(apply_def,[status(thm)],[c_0_221, c_0_217])).
0.18/0.58	thf(c_0_258, plain, ((epred1_0)<=>![X609:$i]:(?[X610:$i]:((((![X611:$i]:(((in @ X611 @ X610)=>![X612:$i]:(((in @ X612 @ X611)=>(in @ X612 @ X609)))))&![X613:$i, X614:$i]:((((in @ X613 @ X609)&(in @ X614 @ X609))=>(![X615:$i]:(((in @ X615 @ X610)=>((in @ X613 @ X615)<=>(in @ X614 @ X615))))=>((X613)=(X614))))))&![X616:$i, X617:$i]:((((in @ X616 @ X610)&(in @ X617 @ X610))=>(![X618:$i]:(((in @ X618 @ X616)=>(in @ X618 @ X617)))|![X619:$i]:(((in @ X619 @ X617)=>(in @ X619 @ X616)))))))&![X620:$i]:(((![X621:$i]:(((in @ X621 @ X620)=>(in @ X621 @ X609)))&?[X622:$i]:((in @ X622 @ X620)))=>?[X623:$i, X624:$i]:(((((in @ X623 @ X610)&(in @ X624 @ X620))&~(?[X625:$i]:(((in @ X625 @ X623)&(in @ X625 @ X620)))))&![X626:$i]:(((in @ X626 @ X610)=>(![X627:$i]:(((in @ X627 @ X626)=>(in @ X627 @ X623)))|(in @ X624 @ X626)))))))))))), introduced(definition)).
0.18/0.58	thf(c_0_259, negated_conjecture, ~((![X591:$i, X592:$i]:((![X593:$i]:(((in @ X593 @ X591)<=>(in @ X593 @ X592)))=>((X591)=(X592))))=>(![X594:$i]:(~(in @ X594 @ emptyset))=>(![X595:$i, X596:$i, X597:$i]:(((in @ X597 @ (setadjoin @ X595 @ X596))<=>(((X597)=(X595))|(in @ X597 @ X596))))=>(![X1147:$i, X1148:$i]:(((in @ X1148 @ (powerset @ X1147))<=>![X1149:$i]:(((in @ X1149 @ X1148)=>(in @ X1149 @ X1147)))))=>(![X598:$i, X599:$i]:(((in @ X599 @ (setunion @ X598))<=>?[X600:$i]:(((in @ X599 @ X600)&(in @ X600 @ X598)))))=>((in @ emptyset @ omega)=>(![X601:$i]:(((in @ X601 @ omega)=>(in @ (setadjoin @ X601 @ X601) @ omega)))=>(![X602:$i]:((((in @ emptyset @ X602)&![X603:$i]:((((in @ X603 @ omega)&(in @ X603 @ X602))=>(in @ (setadjoin @ X603 @ X603) @ X602))))=>![X604:$i]:(((in @ X604 @ omega)=>(in @ X604 @ X602)))))=>(![X1139:$i > $i > $o, X1140:$i]:((![X1141:$i]:(((in @ X1141 @ X1140)=>?[X1142:$i]:(((X1139 @ X1141 @ X1142)&![X1143:$i]:(((X1139 @ X1141 @ X1143)=>((X1142)=(X1143))))))))=>?[X1144:$i]:(![X1145:$i]:(((in @ X1145 @ X1144)<=>?[X1146:$i]:(((in @ X1146 @ X1140)&(X1139 @ X1146 @ X1145))))))))=>(![X605:$i]:((?[X606:$i]:((in @ X606 @ X605))=>?[X607:$i]:(((in @ X607 @ X605)&~(?[X608:$i]:(((in @ X608 @ X607)&(in @ X608 @ X605))))))))=>((epred1_0)=>(![X1136:$i > $o]:((?[X1137:$i]:(((X1136 @ X1137)&![X1138:$i]:(((X1136 @ X1138)=>((X1137)=(X1138))))))=>(X1136 @ (descr @ (^[Z0/* 3 */:$i]:((X1136 @ Z0)))))))=>(![X1133:$i, X1134:$i > $o, X1135:$i]:(((in @ X1135 @ X1133)=>((X1134 @ X1135)=>(in @ X1135 @ (dsetconstr @ X1133 @ (^[Z0/* 3 */:$i]:((X1134 @ Z0))))))))=>(![X1130:$i, X1131:$i > $o, X1132:$i]:(((in @ X1132 @ (dsetconstr @ X1130 @ (^[Z0/* 3 */:$i]:((X1131 @ Z0)))))=>(in @ X1132 @ X1130)))=>(![X628:$i, X629:$i > $o, X630:$i]:(((in @ X630 @ (dsetconstr @ X628 @ (^[Z0/* 3 */:$i]:((X629 @ Z0)))))=>(X629 @ X630)))=>(![X1125:$i > $o]:((?[X1126:$i]:(((X1125 @ X1126)&![X1127:$i]:(((X1125 @ X1127)=>((X1126)=(X1127))))))=>?[X1128:$i]:(((X1125 @ X1128)&![X1129:$i]:(((X1125 @ X1129)=>((X1128)=(X1129))))))))=>(![X631:$o, X632:$i]:(((in @ X632 @ (prop2set @ ((X631))))=>(X631)))=>(![X633:$i]:(((in @ X633 @ emptyset)=>![X634:$o]:((X634))))=>(![X1124:$i]:(~(in @ X1124 @ emptyset))=>(![X635:$i]:(~(in @ X635 @ emptyset))=>(![X636:$i > $o]:((?[X637:$i]:(((X636 @ X637)&![X638:$i]:(((X636 @ X638)=>((X637)=(X638))))))=>?[X639:$i]:((X636 @ X639))))=>(![X640:$i, X641:$i]:((![X642:$i]:(((in @ X642 @ X640)=>(in @ X642 @ X641)))=>(![X643:$i]:(((in @ X643 @ X641)=>(in @ X643 @ X640)))=>((X640)=(X641)))))=>(![X644:$i]:((![X645:$i]:(~(in @ X645 @ X644))=>((X644)=(emptyset))))=>(![X646:$i]:((![X647:$i]:(~(in @ X647 @ X646))=>((X646)=(emptyset))))=>(![X1121:$i, X1122:$i > $o, X1123:$i]:(((in @ X1123 @ X1121)=>((in @ X1123 @ (dsetconstr @ X1121 @ (^[Z0/* 3 */:$i]:((X1122 @ Z0)))))<=>(X1122 @ X1123))))=>(![X1119:$i]:((((X1119)!=(emptyset))=>?[X1120:$i]:((in @ X1120 @ X1119))))=>(![X648:$i, X649:$i > $o, X650:$i]:(((in @ X650 @ X648)=>((X649 @ X650)=>((dsetconstr @ X648 @ (^[Z0/* 3 */:$i]:((X649 @ Z0))))!=(emptyset)))))=>(![X651:$i]:((?[X652:$i]:((in @ X652 @ X651))=>((X651)!=(emptyset))))=>(![X1117:$i, X1118:$i]:((in @ X1117 @ (setadjoin @ X1117 @ X1118)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X1114:$i, X1115:$i, X1116:$i]:(((in @ X1116 @ X1115)=>(in @ X1116 @ (setadjoin @ X1114 @ X1115))))=>(![X1110:$i, X1111:$i, X1112:$i]:(((in @ X1112 @ (setadjoin @ X1110 @ X1111))=>![X1113:$o]:(((((X1112)=(X1110))=>(X1113))=>(((in @ X1112 @ X1111)=>(X1113))=>(X1113))))))=>(![X653:$i, X654:$i, X655:$i]:(((in @ X655 @ (setadjoin @ X653 @ X654))=>(((X655)=(X653))|(in @ X655 @ X654))))=>(![X656:$i]:(((dsetconstr @ X656 @ (^[Z0/* 3 */:$i]:(($true))))=(X656)))=>(![X1107:$i, X1108:$i]:((![X1109:$i]:(((in @ X1109 @ X1108)=>(in @ X1109 @ X1107)))=>(in @ X1108 @ (powerset @ X1107))))=>(![X657:$i]:((in @ emptyset @ (powerset @ X657)))=>(![X1106:$i]:((in @ emptyset @ (powerset @ X1106)))=>(![X658:$i, X659:$i, X660:$i]:(((in @ X659 @ (powerset @ X658))=>((in @ X660 @ X659)=>(in @ X660 @ X658))))=>(![X661:$i, X662:$i, X663:$i]:(((in @ X662 @ X663)=>((in @ X663 @ X661)=>(in @ X662 @ (setunion @ X661)))))=>(![X664:$i, X665:$i]:(((in @ X665 @ (setunion @ X664))=>![X666:$o]:((![X667:$i]:(((in @ X665 @ X667)=>((in @ X667 @ X664)=>(X666))))=>(X666)))))=>(![X1104:$i, X1105:$i]:(((in @ X1105 @ X1104)=>(in @ X1105 @ (powerset @ (setunion @ X1104)))))=>(![X1099:$i > $o]:((?[X1100:$i]:(((X1099 @ X1100)&![X1101:$i]:(((X1099 @ X1101)=>((X1100)=(X1101))))))=>?[X1102:$i]:(![X1103:$i]:(((X1099 @ X1103)<=>((X1103)=(X1102)))))))=>(![X668:$i]:((((X668)!=(emptyset))=>?[X669:$i]:((in @ X669 @ X668))))=>(![X1097:$i, X1098:$i]:(((in @ X1097 @ (setadjoin @ X1098 @ emptyset))=>((X1097)=(X1098))))=>(![X1095:$i, X1096:$i]:((((X1095)!=(X1096))=>~(in @ X1096 @ (setadjoin @ X1095 @ emptyset))))=>(![X670:$i, X671:$i]:((((X670)=(X671))=>(in @ X670 @ (setadjoin @ X671 @ emptyset))))=>(![X672:$i, X673:$i]:(((in @ X672 @ (setadjoin @ X673 @ emptyset))=>(in @ X673 @ (setadjoin @ X672 @ emptyset))))=>(![X1092:$i, X1093:$i, X1094:$i]:(((in @ X1094 @ (setadjoin @ X1092 @ (setadjoin @ X1093 @ emptyset)))=>(((X1094)=(X1092))|((X1094)=(X1093)))))=>(![X674:$i, X675:$i]:((in @ X674 @ (setadjoin @ X674 @ (setadjoin @ X675 @ emptyset))))=>(![X676:$i, X677:$i]:((in @ X677 @ (setadjoin @ X676 @ (setadjoin @ X677 @ emptyset))))=>(![X678:$i, X679:$i > $o]:((?[X680:$i]:(((in @ X680 @ X678)&(X679 @ X680)))=>((dsetconstr @ X678 @ (^[Z0/* 3 */:$i]:((X679 @ Z0))))!=(emptyset))))=>(![X1090:$i > $o, X1091:$i]:(((in @ X1091 @ emptyset)=>(X1090 @ X1091)))=>(![X1086:$i, X1087:$i > $o]:((~(![X1088:$i]:(((in @ X1088 @ X1086)=>(X1087 @ X1088))))=>?[X1089:$i]:(((in @ X1089 @ X1086)&~(X1087 @ X1089)))))=>(![X1082:$i, X1083:$i > $o]:((![X1084:$i]:(((in @ X1084 @ X1082)=>~(X1083 @ X1084)))=>~(?[X1085:$i]:(((in @ X1085 @ X1082)&(X1083 @ X1085))))))=>(![X681:$i, X682:$i > 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@ (setadjoin @ X932 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X933 @ emptyset) @ (setadjoin @ (setadjoin @ X933 @ (setadjoin @ X934 @ emptyset)) @ emptyset)))=>(((X933)=(X934))=>((X932)=(X934)))))=>(![X863:$i, X864:$i, X865:$i]:((((setadjoin @ X863 @ (setadjoin @ X864 @ emptyset))=(setadjoin @ X865 @ emptyset))=>((X863)=(X864))))=>(![X866:$i, X867:$i, X868:$i, X869:$i]:((((setadjoin @ (setadjoin @ X866 @ emptyset) @ (setadjoin @ (setadjoin @ X866 @ (setadjoin @ X867 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X868 @ emptyset) @ (setadjoin @ (setadjoin @ X868 @ (setadjoin @ X869 @ emptyset)) @ emptyset)))=>((X867)=(X869))))=>(![X870:$i, X871:$i, X872:$i, X873:$i]:((((kpair @ X870 @ X871)=(kpair @ X872 @ X873))=>((X871)=(X873))))=>(![X929:$i]:(((iskpair @ X929)=>?[X930:$i]:(((in @ X930 @ (dsetconstr @ (setunion @ X929) @ (^[Z0/* 3 */:$i]:(((X929)=(kpair @ (kfst @ X929) @ Z0))))))&((dsetconstr @ (setunion @ X929) @ (^[Z0/* 3 */:$i]:(((X929)=(kpair @ (kfst @ X929) @ Z0)))))=(setadjoin @ X930 @ emptyset))))))=>(![X874:$i, X875:$i]:(((ksnd @ (kpair @ X874 @ X875))=(X875)))=>(![X928:$i]:(((iskpair @ X928)=>((kpair @ (kfst @ X928) @ (ksnd @ X928))=(X928))))=>(![X925:$i, X926:$i, X927:$i]:(((in @ X927 @ (cartprod @ X925 @ X926))=>(in @ (ksnd @ X927) @ X926)))=>(![X921:$i, X922:$i, X923:$i, X924:$i]:(((in @ (kpair @ X923 @ X924) @ (cartprod @ X921 @ X922))=>(in @ X923 @ X921)))=>(![X876:$i, X877:$i, X878:$i, X879:$i]:(((in @ (kpair @ X878 @ X879) @ (cartprod @ X876 @ X877))=>(in @ X879 @ X877)))=>(![X917:$i, X918:$i, X919:$i]:(((in @ X919 @ X917)=>![X920:$i]:(((in @ X920 @ X918)=>((kpair @ X919 @ X920)=(kpair @ X919 @ X920))))))=>(![X913:$i, X914:$i, X915:$i]:(((in @ X915 @ X913)=>![X916:$i]:(((in @ X916 @ X914)=>((kfst @ (kpair @ X915 @ X916))=(X915))))))=>(![X880:$i, X881:$i, X882:$i]:(((in @ X882 @ X880)=>![X883:$i]:(((in @ X883 @ X881)=>((ksnd @ (kpair @ X882 @ X883))=(X883))))))=>(![X884:$i, X885:$i, X886:$i]:(((in @ X886 @ (cartprod @ X884 @ X885))=>((kpair @ (kfst @ X886) @ (ksnd @ X886))=(X886))))=>(![X906:$i, X907:$i, X908:$i > $i > $o, X909:$i]:(((in @ X909 @ X906)=>![X910:$i]:(((in @ X910 @ X907)=>((X908 @ X909 @ X910)=>(in @ (kpair @ X909 @ X910) @ (dsetconstr @ (cartprod @ X906 @ X907) @ (^[Z0/* 5 */:$i]:(?[X911:$i]:(((in @ X911 @ X906)&?[X912:$i]:((((in @ X912 @ X907)&(X908 @ X911 @ X912))&((Z0)=(kpair @ X911 @ X912)))))))))))))))=>(![X901:$i, X902:$i, X903:$i > $i > $o]:((subset @ (dsetconstr @ (cartprod @ X901 @ X902) @ (^[Z0/* 5 */:$i]:(?[X904:$i]:(((in @ X904 @ X901)&?[X905:$i]:((((in @ X905 @ X902)&(X903 @ X904 @ X905))&((Z0)=(kpair @ X904 @ X905))))))))) @ (cartprod @ X901 @ X902)))=>(![X887:$i, X888:$i, X889:$i > $i > $o]:((subset @ (dsetconstr @ (cartprod @ X887 @ X888) @ (^[Z0/* 5 */:$i]:(?[X890:$i]:(((in @ X890 @ X887)&?[X891:$i]:((((in @ X891 @ X888)&(X889 @ X890 @ X891))&((Z0)=(kpair @ X890 @ X891))))))))) @ (cartprod @ X887 @ X888)))=>(![X892:$i, X893:$i, X894:$i > $i > $o, X895:$i]:(((in @ X895 @ X892)=>![X896:$i]:(((in @ X896 @ X893)=>((in @ (kpair @ X895 @ X896) @ (dsetconstr @ (cartprod @ X892 @ X893) @ (^[Z0/* 5 */:$i]:(?[X897:$i]:(((in @ X897 @ X892)&?[X898:$i]:((((in @ X898 @ X893)&(X894 @ X897 @ X898))&((Z0)=(kpair @ X897 @ X898))))))))))=>(X894 @ X895 @ X896))))))=>![X4:$i, X5:$i, X27:$i > $i > $o, X2:$i, X3:$i]:(((in @ (kpair @ X2 @ X3) @ (dsetconstr @ (cartprod @ X4 @ X5) @ (^[Z0/* 5 */:$i]:(?[X899:$i]:(((in @ X899 @ X4)&?[X900:$i]:((((in @ X900 @ X5)&(X27 @ X899 @ X900))&((Z0)=(kpair @ X899 @ X900))))))))))=>(in @ X2 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[dpsetconstrEL1])]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_222]), foundationAx]), wellorderingAx]), c_0_223]), c_0_224]), c_0_225]), c_0_226]), c_0_227]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_228]), setext]), emptyI]), noeltsimpempty]), c_0_229]), c_0_230]), c_0_231]), c_0_232]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_233]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_234]), c_0_235]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_236]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_237]), c_0_238]), c_0_239]), inCongP]), in__Cong]), c_0_240]), c_0_241]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_242]), c_0_243]), c_0_244]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_245]), c_0_246]), 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]), secondinupair]), setukpairIL]), setukpairIR]), kpairiskpair]), kpairp]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), ubforcartprodlem3]), cartprodpairin]), cartprodmempair1]), cartprodmempair]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_247]), c_0_248]), c_0_249]), c_0_250]), singletonsuniq]), setukpairinjL1]), c_0_251]), c_0_252]), kfstpairEq]), cartprodfstin]), setukpairinjL2]), setukpairinjL]), setukpairinjR11]), setukpairinjR12]), setukpairinjR1]), upairequniteq]), setukpairinjR2]), setukpairinjR]), c_0_253]), ksndpairEq]), kpairsurjEq]), cartprodsndin]), cartprodpairmemEL]), cartprodpairmemER]), cartprodmempaircEq]), cartprodfstpairEq]), cartprodsndpairEq]), cartprodpairsurjEq]), c_0_217]), c_0_254]), c_0_255]), c_0_256]), c_0_257])]), c_0_258])).
0.18/0.58	thf(c_0_260, negated_conjecture, ![X1150:$i, X1151:$i, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1163:$i, X1164:$i, X1166:$i, X1167:$i, X1168:$i, X1169:$i, X1170:$i, X1172:$i, X1173:$i > $i > $o, X1174:$i, X1176:$i, X1179:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1186:$i, X1187:$i > $o, X1188:$i, X1190:$i, X1191:$i > $o, X1192:$i, X1193:$i, X1194:$i > $o, X1195:$i, X1196:$i, X1197:$i > $o, X1198:$i, X1199:$i > $o, X1200:$i, X1203:$i, X1204:$o, X1205:$i, X1206:$i, X1207:$o, X1208:$i, X1209:$i, X1210:$i > $o, X1211:$i, X1214:$i, X1215:$i, X1218:$i, X1220:$i, X1222:$i, X1223:$i > $o, X1224:$i, X1225:$i, X1227:$i, X1228:$i > $o, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$o, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1253:$i, X1254:$i, X1255:$i, X1256:$i, X1257:$i, X1258:$o, X1260:$i, X1261:$i, X1262:$i > $o, X1263:$i, X1266:$i, X1267:$i, X1268:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1279:$i, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i > $o, X1287:$i, X1288:$i > $o, X1289:$i, X1290:$i, X1291:$i > $o, X1292:$i, X1294:$i, X1295:$i > $o, X1297:$i, X1298:$i, X1299:$i > $o, X1301:$i, X1302:$i, X1303:$i > $o, X1304:$i, X1306:$o, X1307:$o, X1308:$i, X1309:$i > $o, X1311:$i, X1312:$i, X1313:$i > $o, X1314:$i, X1316:$i > $o, X1317:$i, X1320:$i, X1321:$i > $o, X1322:$i, X1326:$i, X1327:$i > $o, X1328:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i > $o, X1341:$i, X1343:$i, X1344:$i, X1345:$i > $o, X1346:$i > $o, X1349:$i, X1352:$i, X1353:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i, X1364:$i, X1365:$i > $o, X1366:$i, X1368:$i, X1369:$i, X1370:$i > $o, X1371:$i > $o, X1374:$i, X1376:$i, X1378:$i, X1379:$i, X1380:$i > $o, X1381:$i > $o, X1384:$i, X1385:$i, X1387:$i, X1388:$i, X1389:$i, X1390:$i, X1391:$i, X1392:$i, X1394:$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:$i, X1414:$i, 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 > $o, X1432:$i, X1433:$i > $o, X1434:$i, X1435:$i, X1436:$i, X1437:$i, X1438:$i, X1439:$i, X1440:$i, X1441:$i, X1442:$i, X1443:$i, X1444:$i, X1445:$o, X1446:$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, X1474:$i, X1475:$i, X1476:$i, X1477:$i, X1478:$i, X1479:$i, X1480:$i, X1481:$i, X1482:$i, X1483:$i, X1484:$i, X1485:$i, X1486:$i, X1487:$i, X1488:$i, X1489:$i, X1490:$i, X1491:$i, X1492:$i, X1493:$i, X1494:$i, X1495:$i, X1496:$i, X1497:$i, X1498:$i, X1499:$i, X1500:$i, X1501:$i, X1502:$i, X1503:$i, X1504:$i, X1505:$i, X1506:$i, X1507:$i, X1508:$i, X1509:$i, X1510:$i, X1511:$i, X1512:$i, X1513:$o, X1514:$i, X1515:$i, X1516:$i, X1517:$i, X1518:$i, X1519:$i, X1520:$i, X1521:$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:$i, X1555:$i, X1556:$i, X1557:$i, X1558:$i, X1559:$i, X1560:$i, X1561:$i, X1562:$i, X1563:$i, X1564:$i, X1565:$i, X1566:$i, X1567:$i, X1568:$i, X1569:$i, X1570:$i, X1571:$i, X1572:$i, X1575:$i, X1576:$i, X1577:$i, X1578:$i, X1579:$i, X1581:$i, X1582:$i, X1583:$i, X1584:$i, X1585:$i > $o, X1588:$i, X1590:$i, X1591:$i > $o, X1592:$i, X1594:$i, X1595:$i > $o, X1596:$i, X1599:$i, X1600:$i > $o, X1603:$i, X1605:$i, X1606:$i, X1607:$i, X1608:$i, X1609:$i, X1610:$i, X1612:$i, X1613:$i, X1614:$i, X1615:$i, X1616:$i, X1617:$i, X1618:$i, X1619:$i, X1620:$i, X1621:$i, X1622:$i, X1623:$i, X1624:$i, X1625:$i, X1626:$i, X1627:$i, X1628:$i, X1629:$i, X1630:$i, X1631:$i, X1632:$i, X1633:$i, X1634:$i, X1635:$i, X1636:$i, X1637:$i, X1638:$i, X1639:$i, X1640:$i, X1641:$i, X1642:$i, X1643:$i, X1644:$i, X1645:$i, X1646:$i, X1648:$i, X1649:$i, X1650:$i, X1651:$i, X1652:$i, X1653:$i, X1654:$i, X1655:$i, X1656:$i, X1657:$i, X1658:$i, X1659:$i, X1660:$i, X1661:$i, X1662:$i, X1663:$i, X1664:$i, X1665:$i, X1666:$i, X1667:$i, X1668:$i, X1669:$i, X1670:$i, X1671:$i, X1672:$i, X1673:$i, X1674:$i, X1675:$i, X1676:$i, X1677:$i, X1678:$i, X1679:$i > $i > $o, X1680:$i, X1681:$i, X1682:$i, X1683:$i, X1684:$i > $i > $o, X1685:$i, X1686:$i, X1687:$i > $i > $o, X1688:$i, X1689:$i, X1690:$i > $i > $o, 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@ X1468 @ X1469))|(in @ X1470 @ X1469))&((((in @ (esk54_2 @ X1471 @ X1472) @ X1471)|((binintersect @ X1471 @ X1472)=(emptyset)))&((in @ (esk54_2 @ X1471 @ X1472) @ X1472)|((binintersect @ X1471 @ X1472)=(emptyset))))&((subset @ (binintersect @ X1474 @ X1475) @ X1475)&((~(subset @ X1477 @ X1476)|((binintersect @ X1476 @ X1477)=(X1477)))&((((binintersect @ X1478 @ X1479)!=(X1478))|(subset @ X1478 @ X1479))&(((binintersect @ X1480 @ (binunion @ X1481 @ X1482))=(binunion @ (binintersect @ X1480 @ X1481) @ (binintersect @ X1480 @ X1482)))&((~(in @ X1485 @ X1483)|((in @ X1485 @ X1484)|(in @ X1485 @ (setminus @ X1483 @ X1484))))&((~(in @ X1488 @ (setminus @ X1486 @ X1487))|(in @ X1488 @ X1486))&((~(in @ X1491 @ (setminus @ X1489 @ X1490))|~(in @ X1491 @ X1490))&((~(subset @ X1492 @ X1493)|((setminus @ X1492 @ X1493)=(emptyset)))&(((in @ X1496 @ (setminus @ X1494 @ X1495))|(~(in @ X1496 @ X1494)|(in @ X1496 @ X1495)))&(((in @ X1499 @ (setminus @ X1497 @ X1498))|((in @ X1499 @ X1498)|~(in @ X1499 @ X1497)))&(((in @ X1502 @ X1500)|~(in @ X1502 @ (setminus @ X1500 @ X1501)))&((~(in @ X1505 @ X1504)|~(in @ X1505 @ (setminus @ X1503 @ X1504)))&((subset @ (setminus @ X1506 @ X1507) @ X1506)&((((setminus @ X1508 @ X1509)!=(emptyset))|(subset @ X1508 @ X1509))&((((~(in @ X1512 @ X1510)|(X1513)|(in @ X1512 @ X1510)|~(in @ X1512 @ (symdiff @ X1510 @ X1511)))&(((in @ X1512 @ X1511)|(X1513)|(in @ X1512 @ X1510)|~(in @ X1512 @ (symdiff @ X1510 @ X1511)))&(~(X1513)|(X1513)|(in @ X1512 @ X1510)|~(in @ X1512 @ (symdiff @ X1510 @ X1511)))))&(((~(in @ X1512 @ X1510)|(X1513)|~(in @ X1512 @ X1511)|~(in @ X1512 @ (symdiff @ X1510 @ X1511)))&(((in @ X1512 @ X1511)|(X1513)|~(in @ X1512 @ X1511)|~(in @ X1512 @ (symdiff @ X1510 @ X1511)))&(~(X1513)|(X1513)|~(in @ X1512 @ X1511)|~(in @ X1512 @ (symdiff @ X1510 @ X1511)))))&((~(in @ X1512 @ X1510)|(X1513)|~(X1513)|~(in @ X1512 @ (symdiff @ X1510 @ X1511)))&(((in @ X1512 @ X1511)|(X1513)|~(X1513)|~(in @ X1512 @ (symdiff @ X1510 @ X1511)))&(~(X1513)|(X1513)|~(X1513)|~(in @ X1512 @ (symdiff @ X1510 @ X1511)))))))&((~(in @ X1516 @ X1514)|((in @ X1516 @ X1515)|(in @ X1516 @ (symdiff @ X1514 @ X1515))))&(((in @ X1519 @ X1517)|(~(in @ X1519 @ X1518)|(in @ X1519 @ (symdiff @ X1517 @ X1518))))&((~(in @ X1522 @ X1520)|(~(in @ X1522 @ X1521)|~(in @ X1522 @ (symdiff @ X1520 @ X1521))))&(((in @ X1525 @ X1523)|((in @ X1525 @ X1524)|~(in @ X1525 @ (symdiff @ X1523 @ X1524))))&((in @ X1527 @ (setadjoin @ X1526 @ (setadjoin @ X1527 @ emptyset)))&((in @ X1528 @ (setunion @ (setadjoin @ (setadjoin @ X1528 @ emptyset) @ (setadjoin @ (setadjoin @ X1528 @ (setadjoin @ X1529 @ emptyset)) @ emptyset))))&((in @ X1531 @ (setunion @ (setadjoin @ (setadjoin @ X1530 @ emptyset) @ (setadjoin @ (setadjoin @ X1530 @ (setadjoin @ X1531 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1532 @ emptyset) @ (setadjoin @ (setadjoin @ X1532 @ (setadjoin @ X1533 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1534 @ X1535))&((~(in @ X1537 @ X1536)|(subset @ (setadjoin @ X1537 @ emptyset) @ X1536))&((~(in @ X1539 @ X1538)|(in @ (setadjoin @ X1539 @ emptyset) @ (powerset @ X1538)))&((~(in @ X1542 @ X1540)|(in @ (setadjoin @ X1542 @ emptyset) @ (powerset @ (binunion @ X1540 @ X1541))))&((~(in @ X1545 @ (setadjoin @ X1543 @ (setadjoin @ X1544 @ emptyset)))|(((X1545)=(X1543))|((X1545)=(X1544))))&((~(in @ X1548 @ X1546)|(~(in @ X1549 @ X1547)|(subset @ (setadjoin @ X1548 @ (setadjoin @ X1549 @ emptyset)) @ (binunion @ X1546 @ X1547))))&((~(in @ X1552 @ X1550)|(~(in @ X1553 @ X1551)|(in @ (setadjoin @ X1552 @ (setadjoin @ X1553 @ emptyset)) @ (powerset @ (binunion @ X1550 @ X1551)))))&((~(in @ X1556 @ X1554)|(~(in @ X1557 @ X1555)|(subset @ (setadjoin @ (setadjoin @ X1556 @ emptyset) @ (setadjoin @ (setadjoin @ X1556 @ (setadjoin @ X1557 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1554 @ X1555)))))&((~(in @ X1560 @ X1558)|(~(in @ X1561 @ X1559)|(in @ (setadjoin @ (setadjoin @ X1560 @ emptyset) @ (setadjoin @ (setadjoin @ X1560 @ (setadjoin @ X1561 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1558 @ X1559))))))&((~(in @ X1564 @ X1562)|(~(in @ X1565 @ X1563)|(in @ (kpair @ X1564 @ X1565) @ (powerset @ (powerset @ (binunion @ X1562 @ X1563))))))&((~(in @ X1568 @ X1566)|(~(in @ X1569 @ X1567)|(in @ (kpair @ X1568 @ X1569) @ (cartprod @ X1566 @ X1567))))&((((in @ (esk55_3 @ X1570 @ X1571 @ X1572) @ X1570)|~(in @ X1572 @ (cartprod @ X1570 @ X1571)))&(((in @ (esk56_3 @ X1570 @ X1571 @ X1572) @ X1571)|~(in @ X1572 @ (cartprod @ X1570 @ X1571)))&(((X1572)=(kpair @ (esk55_3 @ X1570 @ X1571 @ X1572) @ (esk56_3 @ X1570 @ X1571 @ X1572)))|~(in @ X1572 @ (cartprod @ X1570 @ X1571)))))&((~(in @ X1577 @ (cartprod @ X1575 @ X1576))|(iskpair @ X1577))&((((in @ (esk57_2 @ X1578 @ X1579) @ X1578)|~(in @ X1579 @ (setunion @ X1578)))&((in @ X1579 @ (esk57_2 @ X1578 @ X1579))|~(in @ X1579 @ (setunion @ X1578))))&((subset @ (setunion @ (setadjoin @ X1581 @ emptyset)) @ X1581)&((subset @ X1582 @ (setunion @ (setadjoin @ X1582 @ emptyset)))&(((setunion @ (setadjoin @ X1583 @ emptyset))=(X1583))&(((((in @ (esk60_2 @ X1584 @ X1585) @ (dsetconstr @ X1584 @ (^[Z0/* 3 */:$i]:((X1585 @ Z0)))))|(~(in @ X1588 @ X1584)|~(X1585 @ X1588))|(in @ (esk58_2 @ X1584 @ X1585) @ X1584))&(((dsetconstr @ X1584 @ (^[Z0/* 3 */:$i]:((X1585 @ Z0))))=(setadjoin @ (esk60_2 @ X1584 @ X1585) @ emptyset))|(~(in @ X1588 @ X1584)|~(X1585 @ X1588))|(in @ (esk58_2 @ X1584 @ X1585) @ X1584)))&((((in @ (esk60_2 @ X1584 @ X1585) @ (dsetconstr @ X1584 @ (^[Z0/* 3 */:$i]:((X1585 @ Z0)))))|(~(in @ X1588 @ X1584)|~(X1585 @ X1588))|(in @ (esk59_2 @ X1584 @ X1585) @ X1584))&(((dsetconstr @ X1584 @ (^[Z0/* 3 */:$i]:((X1585 @ Z0))))=(setadjoin @ (esk60_2 @ X1584 @ X1585) @ emptyset))|(~(in @ X1588 @ X1584)|~(X1585 @ X1588))|(in @ (esk59_2 @ X1584 @ X1585) @ X1584)))&((((in @ (esk60_2 @ X1584 @ X1585) @ (dsetconstr @ X1584 @ (^[Z0/* 3 */:$i]:((X1585 @ Z0)))))|(~(in @ X1588 @ X1584)|~(X1585 @ X1588))|(X1585 @ (esk58_2 @ X1584 @ X1585)))&(((dsetconstr @ X1584 @ (^[Z0/* 3 */:$i]:((X1585 @ Z0))))=(setadjoin @ (esk60_2 @ X1584 @ X1585) @ emptyset))|(~(in @ X1588 @ X1584)|~(X1585 @ X1588))|(X1585 @ (esk58_2 @ X1584 @ X1585))))&((((in @ (esk60_2 @ X1584 @ X1585) @ (dsetconstr @ X1584 @ (^[Z0/* 3 */:$i]:((X1585 @ Z0)))))|(~(in @ X1588 @ X1584)|~(X1585 @ X1588))|(X1585 @ (esk59_2 @ X1584 @ X1585)))&(((dsetconstr @ X1584 @ (^[Z0/* 3 */:$i]:((X1585 @ Z0))))=(setadjoin @ (esk60_2 @ X1584 @ X1585) @ emptyset))|(~(in @ X1588 @ X1584)|~(X1585 @ X1588))|(X1585 @ (esk59_2 @ X1584 @ X1585))))&(((in @ (esk60_2 @ X1584 @ X1585) @ (dsetconstr @ X1584 @ (^[Z0/* 3 */:$i]:((X1585 @ Z0)))))|(~(in @ X1588 @ X1584)|~(X1585 @ X1588))|((esk58_2 @ X1584 @ X1585)!=(esk59_2 @ X1584 @ X1585)))&(((dsetconstr @ X1584 @ (^[Z0/* 3 */:$i]:((X1585 @ Z0))))=(setadjoin @ (esk60_2 @ X1584 @ X1585) @ emptyset))|(~(in @ X1588 @ X1584)|~(X1585 @ X1588))|((esk58_2 @ X1584 @ X1585)!=(esk59_2 @ X1584 @ X1585))))))))&((((in @ (esk61_2 @ X1590 @ X1591) @ X1590)|(~(in @ X1592 @ (dsetconstr @ X1590 @ (^[Z0/* 3 */:$i]:((X1591 @ Z0)))))|((dsetconstr @ X1590 @ (^[Z0/* 3 */:$i]:((X1591 @ Z0))))!=(setadjoin @ X1592 @ emptyset))))&((X1591 @ (esk61_2 @ X1590 @ X1591))|(~(in @ X1592 @ (dsetconstr @ X1590 @ (^[Z0/* 3 */:$i]:((X1591 @ Z0)))))|((dsetconstr @ X1590 @ (^[Z0/* 3 */:$i]:((X1591 @ Z0))))!=(setadjoin @ X1592 @ emptyset)))))&(((((in @ (esk63_3 @ X1594 @ X1595 @ X1596) @ (dsetconstr @ X1594 @ (^[Z0/* 3 */:$i]:((X1595 @ Z0)))))|(in @ (esk62_3 @ X1594 @ X1595 @ X1596) @ X1594)|~(X1595 @ X1596)|~(in @ X1596 @ X1594))&(((dsetconstr @ X1594 @ (^[Z0/* 3 */:$i]:((X1595 @ Z0))))=(setadjoin @ (esk63_3 @ X1594 @ X1595 @ X1596) @ emptyset))|(in @ (esk62_3 @ X1594 @ X1595 @ X1596) @ X1594)|~(X1595 @ X1596)|~(in @ X1596 @ X1594)))&((((in @ (esk63_3 @ X1594 @ X1595 @ X1596) @ (dsetconstr @ X1594 @ (^[Z0/* 3 */:$i]:((X1595 @ Z0)))))|(X1595 @ (esk62_3 @ X1594 @ X1595 @ X1596))|~(X1595 @ X1596)|~(in @ X1596 @ X1594))&(((dsetconstr @ X1594 @ (^[Z0/* 3 */:$i]:((X1595 @ Z0))))=(setadjoin @ (esk63_3 @ X1594 @ X1595 @ X1596) @ emptyset))|(X1595 @ (esk62_3 @ X1594 @ X1595 @ X1596))|~(X1595 @ X1596)|~(in @ X1596 @ X1594)))&(((in @ (esk63_3 @ X1594 @ X1595 @ X1596) @ (dsetconstr @ X1594 @ (^[Z0/* 3 */:$i]:((X1595 @ Z0)))))|((esk62_3 @ X1594 @ X1595 @ X1596)!=(X1596))|~(X1595 @ X1596)|~(in @ X1596 @ X1594))&(((dsetconstr @ X1594 @ (^[Z0/* 3 */:$i]:((X1595 @ Z0))))=(setadjoin @ (esk63_3 @ X1594 @ X1595 @ X1596) @ emptyset))|((esk62_3 @ X1594 @ X1595 @ X1596)!=(X1596))|~(X1595 @ X1596)|~(in @ X1596 @ X1594)))))&(((((in @ (esk66_2 @ X1599 @ X1600) @ (dsetconstr @ X1599 @ (^[Z0/* 3 */:$i]:((X1600 @ Z0)))))|(~(in @ X1603 @ X1599)|~(X1600 @ X1603))|(in @ (esk64_2 @ X1599 @ X1600) @ X1599))&(((dsetconstr @ X1599 @ (^[Z0/* 3 */:$i]:((X1600 @ Z0))))=(setadjoin @ (esk66_2 @ X1599 @ X1600) @ emptyset))|(~(in @ X1603 @ X1599)|~(X1600 @ X1603))|(in @ (esk64_2 @ X1599 @ X1600) @ X1599)))&((((in @ (esk66_2 @ X1599 @ X1600) @ (dsetconstr @ X1599 @ (^[Z0/* 3 */:$i]:((X1600 @ Z0)))))|(~(in @ X1603 @ X1599)|~(X1600 @ X1603))|(in @ (esk65_2 @ X1599 @ X1600) @ X1599))&(((dsetconstr @ X1599 @ (^[Z0/* 3 */:$i]:((X1600 @ Z0))))=(setadjoin @ (esk66_2 @ X1599 @ X1600) @ emptyset))|(~(in @ X1603 @ X1599)|~(X1600 @ X1603))|(in @ (esk65_2 @ X1599 @ X1600) @ X1599)))&((((in @ (esk66_2 @ X1599 @ X1600) @ (dsetconstr @ X1599 @ (^[Z0/* 3 */:$i]:((X1600 @ Z0)))))|(~(in @ X1603 @ X1599)|~(X1600 @ X1603))|(X1600 @ (esk64_2 @ X1599 @ X1600)))&(((dsetconstr @ X1599 @ (^[Z0/* 3 */:$i]:((X1600 @ Z0))))=(setadjoin @ (esk66_2 @ X1599 @ X1600) @ emptyset))|(~(in @ X1603 @ X1599)|~(X1600 @ X1603))|(X1600 @ (esk64_2 @ X1599 @ X1600))))&((((in @ (esk66_2 @ X1599 @ X1600) @ (dsetconstr @ X1599 @ (^[Z0/* 3 */:$i]:((X1600 @ Z0)))))|(~(in @ X1603 @ X1599)|~(X1600 @ X1603))|(X1600 @ (esk65_2 @ X1599 @ X1600)))&(((dsetconstr @ X1599 @ (^[Z0/* 3 */:$i]:((X1600 @ Z0))))=(setadjoin @ (esk66_2 @ X1599 @ X1600) @ emptyset))|(~(in @ X1603 @ X1599)|~(X1600 @ X1603))|(X1600 @ (esk65_2 @ X1599 @ X1600))))&(((in @ (esk66_2 @ X1599 @ X1600) @ (dsetconstr @ X1599 @ (^[Z0/* 3 */:$i]:((X1600 @ Z0)))))|(~(in @ X1603 @ X1599)|~(X1600 @ X1603))|((esk64_2 @ X1599 @ X1600)!=(esk65_2 @ X1599 @ X1600)))&(((dsetconstr @ X1599 @ (^[Z0/* 3 */:$i]:((X1600 @ Z0))))=(setadjoin @ (esk66_2 @ X1599 @ X1600) @ emptyset))|(~(in @ X1603 @ X1599)|~(X1600 @ X1603))|((esk64_2 @ X1599 @ X1600)!=(esk65_2 @ X1599 @ X1600))))))))&((((setadjoin @ X1605 @ emptyset)!=(setadjoin @ X1606 @ emptyset))|((X1605)=(X1606)))&((~(in @ (setadjoin @ X1609 @ emptyset) @ (setadjoin @ (setadjoin @ X1607 @ emptyset) @ (setadjoin @ (setadjoin @ X1607 @ (setadjoin @ X1608 @ emptyset)) @ emptyset)))|((X1607)=(X1609)))&((((in @ (esk67_1 @ X1610) @ (dsetconstr @ (setunion @ X1610) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1610)))))|~(iskpair @ X1610))&(((dsetconstr @ (setunion @ X1610) @ (^[Z0/* 3 */:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1610))))=(setadjoin @ (esk67_1 @ X1610) @ emptyset))|~(iskpair @ X1610)))&((~(in @ X1613 @ X1612)|((X1612)!=(setadjoin @ X1613 @ emptyset))|(in @ (setunion @ X1612) @ X1612))&(((kfst @ (kpair @ X1614 @ X1615))=(X1614))&((~(in @ X1618 @ (cartprod @ X1616 @ X1617))|(in @ (kfst @ X1618) @ X1616))&((((setadjoin @ (setadjoin @ X1619 @ emptyset) @ (setadjoin @ (setadjoin @ X1619 @ (setadjoin @ X1620 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1621 @ emptyset) @ (setadjoin @ (setadjoin @ X1621 @ (setadjoin @ X1622 @ emptyset)) @ emptyset)))|((X1619)=(X1621)))&((((kpair @ X1623 @ X1624)!=(kpair @ X1625 @ X1626))|((X1623)=(X1625)))&((((X1627)!=(X1628))|((setadjoin @ X1627 @ (setadjoin @ X1628 @ emptyset))=(setadjoin @ X1627 @ emptyset)))&((((X1629)!=(X1630))|((setadjoin @ (setadjoin @ X1629 @ emptyset) @ (setadjoin @ (setadjoin @ X1629 @ (setadjoin @ X1630 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X1629 @ emptyset) @ emptyset)))&((((setadjoin @ (setadjoin @ X1631 @ emptyset) @ (setadjoin @ (setadjoin @ X1631 @ (setadjoin @ X1632 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1633 @ emptyset) @ (setadjoin @ (setadjoin @ X1633 @ (setadjoin @ X1634 @ emptyset)) @ emptyset)))|(((X1633)!=(X1634))|((X1632)=(X1634))))&((((setadjoin @ X1635 @ (setadjoin @ X1636 @ emptyset))!=(setadjoin @ X1637 @ emptyset))|((X1635)=(X1636)))&((((setadjoin @ (setadjoin @ X1638 @ emptyset) @ (setadjoin @ (setadjoin @ X1638 @ (setadjoin @ X1639 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1640 @ emptyset) @ (setadjoin @ (setadjoin @ X1640 @ (setadjoin @ X1641 @ emptyset)) @ emptyset)))|((X1639)=(X1641)))&((((kpair @ X1642 @ X1643)!=(kpair @ X1644 @ X1645))|((X1643)=(X1645)))&((((in @ (esk68_1 @ X1646) @ (dsetconstr @ (setunion @ X1646) @ (^[Z0/* 3 */:$i]:(((X1646)=(kpair @ (kfst @ X1646) @ Z0))))))|~(iskpair @ X1646))&(((dsetconstr @ (setunion @ X1646) @ (^[Z0/* 3 */:$i]:(((X1646)=(kpair @ (kfst @ X1646) @ Z0)))))=(setadjoin @ (esk68_1 @ X1646) @ emptyset))|~(iskpair @ X1646)))&(((ksnd @ (kpair @ X1648 @ X1649))=(X1649))&((~(iskpair @ X1650)|((kpair @ (kfst @ X1650) @ (ksnd @ X1650))=(X1650)))&((~(in @ X1653 @ (cartprod @ X1651 @ X1652))|(in @ (ksnd @ X1653) @ X1652))&((~(in @ (kpair @ X1656 @ X1657) @ (cartprod @ X1654 @ X1655))|(in @ X1656 @ X1654))&((~(in @ (kpair @ X1660 @ X1661) @ (cartprod @ X1658 @ X1659))|(in @ X1661 @ X1659))&((~(in @ X1664 @ X1662)|(~(in @ X1665 @ X1663)|((kpair @ X1664 @ X1665)=(kpair @ X1664 @ X1665))))&((~(in @ X1668 @ X1666)|(~(in @ X1669 @ X1667)|((kfst @ (kpair @ X1668 @ X1669))=(X1668))))&((~(in @ X1672 @ X1670)|(~(in @ X1673 @ X1671)|((ksnd @ (kpair @ X1672 @ X1673))=(X1673))))&((~(in @ X1676 @ (cartprod @ X1674 @ X1675))|((kpair @ (kfst @ X1676) @ (ksnd @ X1676))=(X1676)))&((~(in @ X1680 @ X1677)|(~(in @ X1681 @ X1678)|(~(X1679 @ X1680 @ X1681)|(in @ (kpair @ X1680 @ X1681) @ (dsetconstr @ (cartprod @ X1677 @ X1678) @ (^[Z0/* 5 */:$i]:(?[X911:$i]:(((in @ X911 @ X1677)&?[X912:$i]:((((in @ X912 @ X1678)&(X1679 @ X911 @ X912))&((Z0)=(kpair @ X911 @ X912)))))))))))))&((subset @ (dsetconstr @ (cartprod @ X1682 @ X1683) @ (^[Z0/* 5 */:$i]:(?[X904:$i]:(((in @ X904 @ X1682)&?[X905:$i]:((((in @ X905 @ X1683)&(X1684 @ X904 @ X905))&((Z0)=(kpair @ X904 @ X905))))))))) @ (cartprod @ X1682 @ X1683))&((subset @ (dsetconstr @ (cartprod @ X1685 @ X1686) @ (^[Z0/* 5 */:$i]:(?[X890:$i]:(((in @ X890 @ X1685)&?[X891:$i]:((((in @ X891 @ X1686)&(X1687 @ X890 @ X891))&((Z0)=(kpair @ X890 @ X891))))))))) @ (cartprod @ X1685 @ X1686))&((~(in @ X1691 @ X1688)|(~(in @ X1692 @ X1689)|(~(in @ (kpair @ X1691 @ X1692) @ (dsetconstr @ (cartprod @ X1688 @ X1689) @ (^[Z0/* 5 */:$i]:(?[X897:$i]:(((in @ X897 @ X1688)&?[X898:$i]:((((in @ X898 @ X1689)&(X1690 @ X897 @ X898))&((Z0)=(kpair @ X897 @ X898))))))))))|(X1690 @ X1691 @ X1692))))&((in @ (kpair @ esk71_0 @ esk72_0) @ (dsetconstr @ (cartprod @ esk69_0 @ esk70_0) @ (^[Z0/* 5 */:$i]:(?[X899:$i]:(((in @ X899 @ esk69_0)&?[X900:$i]:((((in @ X900 @ esk70_0)&(epred2_0 @ X899 @ X900))&((Z0)=(kpair @ X899 @ X900))))))))))&~(in @ esk71_0 @ esk69_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_259])])])])])])).
0.18/0.58	thf(c_0_261, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_260])).
0.18/0.58	thf(c_0_262, negated_conjecture, (in @ (kpair @ esk71_0 @ esk72_0) @ (dsetconstr @ (cartprod @ esk69_0 @ esk70_0) @ (^[Z0/* 5 */:$i]:(?[X1721:$i]:(((in @ X1721 @ esk69_0)&?[X1722:$i]:((((in @ X1722 @ esk70_0)&(epred2_0 @ X1721 @ X1722))&((Z0)=(kpair @ X1721 @ X1722)))))))))), inference(split_conjunct,[status(thm)],[c_0_260])).
0.18/0.58	thf(c_0_263, negated_conjecture, ?[X1723:$i]:(((in @ X1723 @ esk69_0)&?[X1724:$i]:((((in @ X1724 @ esk70_0)&(epred2_0 @ X1723 @ X1724))&((kpair @ esk71_0 @ esk72_0)=(kpair @ X1723 @ X1724)))))), inference(spm,[status(thm)],[c_0_261, c_0_262])).
0.18/0.58	thf(c_0_264, negated_conjecture, ![X2:$i, X3:$i]:(((ksnd @ (kpair @ X2 @ X3))=(X3))), inference(split_conjunct,[status(thm)],[c_0_260])).
0.18/0.58	thf(c_0_265, negated_conjecture, ((kpair @ esk71_0 @ esk72_0)=(kpair @ esk78_0 @ esk79_0)), inference(dynamic_cnf,[status(thm)],[c_0_263])).
0.18/0.58	thf(c_0_266, negated_conjecture, ((esk72_0)=(esk79_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264, c_0_265]), c_0_264])).
0.18/0.58	thf(c_0_267, negated_conjecture, ![X3:$i, X2:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2))), inference(split_conjunct,[status(thm)],[c_0_260])).
0.18/0.58	thf(c_0_268, negated_conjecture, ((kpair @ esk71_0 @ esk79_0)=(kpair @ esk78_0 @ esk79_0)), inference(rw,[status(thm)],[c_0_265, c_0_266])).
0.18/0.58	thf(c_0_269, negated_conjecture, ~((in @ esk71_0 @ esk69_0)), inference(split_conjunct,[status(thm)],[c_0_260])).
0.18/0.58	thf(c_0_270, negated_conjecture, ((esk71_0)=(esk78_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267, c_0_268]), c_0_267])).
0.18/0.58	thf(c_0_271, negated_conjecture, (in @ esk78_0 @ esk69_0), inference(dynamic_cnf,[status(thm)],[c_0_263])).
0.18/0.58	thf(c_0_272, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_269, c_0_270]), c_0_271])]), ['proof']).
0.18/0.58	# SZS output end CNFRefutation
0.18/0.58	# Parsed axioms                        : 410
0.18/0.58	# Removed by relevancy pruning/SinE    : 0
0.18/0.58	# Initial clauses                      : 555
0.18/0.58	# Removed in clause preprocessing      : 242
0.18/0.58	# Initial clauses in saturation        : 313
0.18/0.58	# Processed clauses                    : 434
0.18/0.58	# ...of these trivial                  : 9
0.18/0.58	# ...subsumed                          : 39
0.18/0.58	# ...remaining for further processing  : 386
0.18/0.58	# Other redundant clauses eliminated   : 25
0.18/0.58	# Clauses deleted for lack of memory   : 0
0.18/0.58	# Backward-subsumed                    : 0
0.18/0.58	# Backward-rewritten                   : 7
0.18/0.58	# Generated clauses                    : 241
0.18/0.58	# ...of the previous two non-redundant : 166
0.18/0.58	# ...aggressively subsumed             : 0
0.18/0.58	# Contextual simplify-reflections      : 0
0.18/0.58	# Paramodulations                      : 209
0.18/0.58	# Factorizations                       : 0
0.18/0.58	# NegExts                              : 0
0.18/0.58	# Equation resolutions                 : 28
0.18/0.58	# Total rewrite steps                  : 102
0.18/0.58	# Propositional unsat checks           : 0
0.18/0.58	#    Propositional check models        : 0
0.18/0.58	#    Propositional check unsatisfiable : 0
0.18/0.58	#    Propositional clauses             : 0
0.18/0.58	#    Propositional clauses after purity: 0
0.18/0.58	#    Propositional unsat core size     : 0
0.18/0.58	#    Propositional preprocessing time  : 0.000
0.18/0.58	#    Propositional encoding time       : 0.000
0.18/0.58	#    Propositional solver time         : 0.000
0.18/0.58	#    Success case prop preproc time    : 0.000
0.18/0.58	#    Success case prop encoding time   : 0.000
0.18/0.58	#    Success case prop solver time     : 0.000
0.18/0.58	# Current number of processed clauses  : 92
0.18/0.58	#    Positive orientable unit clauses  : 41
0.18/0.58	#    Positive unorientable unit clauses: 0
0.18/0.58	#    Negative unit clauses             : 1
0.18/0.58	#    Non-unit-clauses                  : 50
0.18/0.58	# Current number of unprocessed clauses: 312
0.18/0.58	# ...number of literals in the above   : 954
0.18/0.58	# Current number of archived formulas  : 0
0.18/0.58	# Current number of archived clauses   : 278
0.18/0.58	# Clause-clause subsumption calls (NU) : 13843
0.18/0.58	# Rec. Clause-clause subsumption calls : 5889
0.18/0.58	# Non-unit clause-clause subsumptions  : 29
0.18/0.58	# Unit Clause-clause subsumption calls : 130
0.18/0.58	# Rewrite failures with RHS unbound    : 0
0.18/0.58	# BW rewrite match attempts            : 20
0.18/0.58	# BW rewrite match successes           : 5
0.18/0.58	# Condensation attempts                : 434
0.18/0.58	# Condensation successes               : 6
0.18/0.58	# Termbank termtop insertions          : 53537
0.18/0.58	
0.18/0.58	# -------------------------------------------------
0.18/0.58	# User time                : 0.073 s
0.18/0.58	# System time              : 0.016 s
0.18/0.58	# Total time               : 0.090 s
0.18/0.58	# Maximum resident set size: 5884 pages
0.87/180.02	
0.87/180.02	# -------------------------------------------------
0.87/180.02	# User time                : 0.081 s
0.87/180.02	# System time              : 0.020 s
0.87/180.02	# Total time               : 0.101 s
0.87/180.02	# Maximum resident set size: 2212 pages
0.87/180.02	% E---3.1 exiting
0.87/180.02	EOF