0.00/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.12	% Command    : run_E %s %d THM
0.12/0.33	% Computer : n020.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   : 960
0.12/0.33	% WCLimit    : 120
0.12/0.33	% DateTime   : Tue Aug  9 05:01:50 EDT 2022
0.12/0.33	% CPUTime    : 
0.18/0.47	Running higher-order on 8 cores theorem proving
0.18/0.47	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.18/0.47	# Version: 3.0pre003-ho
0.18/0.55	# Preprocessing class: HSLMSLSSLLLCHFA.
0.18/0.55	# Scheduled 8 strats onto 8 cores with 120 seconds (960 total)
0.18/0.55	# Starting ehoh_best5 with 120s (1) cores
0.18/0.55	# Starting almost_fo_3_lam with 120s (1) cores
0.18/0.55	# Starting new_bool_5 with 120s (1) cores
0.18/0.55	# Starting pre_casc_3 with 120s (1) cores
0.18/0.55	# Starting ho_unfolding_8 with 120s (1) cores
0.18/0.55	# Starting new_ho_10_cnf2 with 120s (1) cores
0.18/0.55	# Starting new_bool_3 with 120s (1) cores
0.18/0.55	# Starting new_ho_5 with 120s (1) cores
0.18/0.55	# new_bool_5 with pid 21374 completed with status 0
0.18/0.55	# Result found by new_bool_5
0.18/0.55	# Preprocessing class: HSLMSLSSLLLCHFA.
0.18/0.55	# Scheduled 8 strats onto 8 cores with 120 seconds (960 total)
0.18/0.55	# Starting ehoh_best5 with 120s (1) cores
0.18/0.55	# Starting almost_fo_3_lam with 120s (1) cores
0.18/0.55	# Starting new_bool_5 with 120s (1) cores
0.18/0.55	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.18/0.55	# ...ProofStateSinE()=166/369
0.18/0.55	# Search class: HGHSM-FSLM31-MHFMMSBN
0.18/0.55	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
0.18/0.55	# Starting new_ho_10_cnf2 with 65s (1) cores
0.18/0.55	# new_ho_10_cnf2 with pid 21380 completed with status 0
0.18/0.55	# Result found by new_ho_10_cnf2
0.18/0.55	# Preprocessing class: HSLMSLSSLLLCHFA.
0.18/0.55	# Scheduled 8 strats onto 8 cores with 120 seconds (960 total)
0.18/0.55	# Starting ehoh_best5 with 120s (1) cores
0.18/0.55	# Starting almost_fo_3_lam with 120s (1) cores
0.18/0.55	# Starting new_bool_5 with 120s (1) cores
0.18/0.55	# SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
0.18/0.55	# ...ProofStateSinE()=166/369
0.18/0.55	# Search class: HGHSM-FSLM31-MHFMMSBN
0.18/0.55	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
0.18/0.55	# Starting new_ho_10_cnf2 with 65s (1) cores
0.18/0.55	# Preprocessing time       : 0.004 s
0.18/0.55	# Presaturation interreduction done
0.18/0.55	
0.18/0.55	# Proof found!
0.18/0.55	# SZS status Theorem
0.18/0.55	# SZS output start CNFRefutation
0.18/0.55	thf(decl_22, type, in: $i > $i > $o).
0.18/0.55	thf(decl_23, type, exu: ($i > $o) > $o).
0.18/0.55	thf(decl_24, type, setextAx: $o).
0.18/0.55	thf(decl_25, type, emptyset: $i).
0.18/0.55	thf(decl_26, type, emptysetAx: $o).
0.18/0.55	thf(decl_27, type, setadjoin: $i > $i > $i).
0.18/0.55	thf(decl_28, type, setadjoinAx: $o).
0.18/0.55	thf(decl_29, type, powerset: $i > $i).
0.18/0.55	thf(decl_30, type, powersetAx: $o).
0.18/0.55	thf(decl_31, type, setunion: $i > $i).
0.18/0.55	thf(decl_32, type, setunionAx: $o).
0.18/0.55	thf(decl_33, type, omega: $i).
0.18/0.55	thf(decl_34, type, omega0Ax: $o).
0.18/0.55	thf(decl_35, type, omegaSAx: $o).
0.18/0.55	thf(decl_36, type, omegaIndAx: $o).
0.18/0.55	thf(decl_37, type, replAx: $o).
0.18/0.55	thf(decl_38, type, foundationAx: $o).
0.18/0.55	thf(decl_39, type, wellorderingAx: $o).
0.18/0.55	thf(decl_40, type, descr: ($i > $o) > $i).
0.18/0.55	thf(decl_41, type, descrp: $o).
0.18/0.55	thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_43, type, dsetconstrI: $o).
0.18/0.55	thf(decl_44, type, dsetconstrEL: $o).
0.18/0.55	thf(decl_45, type, dsetconstrER: $o).
0.18/0.55	thf(decl_46, type, exuE1: $o).
0.18/0.55	thf(decl_47, type, prop2set: $o > $i).
0.18/0.55	thf(decl_48, type, prop2setE: $o).
0.18/0.55	thf(decl_49, type, emptysetE: $o).
0.18/0.55	thf(decl_50, type, emptysetimpfalse: $o).
0.18/0.55	thf(decl_51, type, notinemptyset: $o).
0.18/0.55	thf(decl_52, type, exuE3e: $o).
0.18/0.55	thf(decl_53, type, setext: $o).
0.18/0.55	thf(decl_54, type, emptyI: $o).
0.18/0.55	thf(decl_55, type, noeltsimpempty: $o).
0.18/0.55	thf(decl_56, type, setbeta: $o).
0.18/0.55	thf(decl_57, type, nonempty: $i > $o).
0.18/0.55	thf(decl_58, type, nonemptyE1: $o).
0.18/0.55	thf(decl_59, type, nonemptyI: $o).
0.18/0.55	thf(decl_60, type, nonemptyI1: $o).
0.18/0.55	thf(decl_61, type, setadjoinIL: $o).
0.18/0.55	thf(decl_62, type, emptyinunitempty: $o).
0.18/0.55	thf(decl_63, type, setadjoinIR: $o).
0.18/0.55	thf(decl_64, type, setadjoinE: $o).
0.18/0.55	thf(decl_65, type, setadjoinOr: $o).
0.18/0.55	thf(decl_66, type, setoftrueEq: $o).
0.18/0.55	thf(decl_67, type, powersetI: $o).
0.18/0.55	thf(decl_68, type, emptyinPowerset: $o).
0.18/0.55	thf(decl_69, type, emptyInPowerset: $o).
0.18/0.55	thf(decl_70, type, powersetE: $o).
0.18/0.55	thf(decl_71, type, setunionI: $o).
0.18/0.55	thf(decl_72, type, setunionE: $o).
0.18/0.55	thf(decl_73, type, subPowSU: $o).
0.18/0.55	thf(decl_74, type, exuE2: $o).
0.18/0.55	thf(decl_75, type, nonemptyImpWitness: $o).
0.18/0.55	thf(decl_76, type, uniqinunit: $o).
0.18/0.55	thf(decl_77, type, notinsingleton: $o).
0.18/0.55	thf(decl_78, type, eqinunit: $o).
0.18/0.55	thf(decl_79, type, singletonsswitch: $o).
0.18/0.55	thf(decl_80, type, upairsetE: $o).
0.18/0.55	thf(decl_81, type, upairsetIL: $o).
0.18/0.55	thf(decl_82, type, upairsetIR: $o).
0.18/0.55	thf(decl_83, type, emptyE1: $o).
0.18/0.55	thf(decl_84, type, vacuousDall: $o).
0.18/0.55	thf(decl_85, type, quantDeMorgan1: $o).
0.18/0.55	thf(decl_86, type, quantDeMorgan2: $o).
0.18/0.55	thf(decl_87, type, quantDeMorgan3: $o).
0.18/0.55	thf(decl_88, type, quantDeMorgan4: $o).
0.18/0.55	thf(decl_89, type, prop2setI: $o).
0.18/0.55	thf(decl_90, type, set2prop: $i > $o).
0.18/0.55	thf(decl_91, type, prop2set2propI: $o).
0.18/0.55	thf(decl_92, type, notdexE: $o).
0.18/0.55	thf(decl_93, type, notdallE: $o).
0.18/0.55	thf(decl_94, type, exuI1: $o).
0.18/0.55	thf(decl_95, type, exuI3: $o).
0.18/0.55	thf(decl_96, type, exuI2: $o).
0.18/0.55	thf(decl_97, type, inCongP: $o).
0.18/0.55	thf(decl_98, type, in__Cong: $o).
0.18/0.55	thf(decl_99, type, exuE3u: $o).
0.18/0.55	thf(decl_100, type, exu__Cong: $o).
0.18/0.55	thf(decl_101, type, emptyset__Cong: $o).
0.18/0.55	thf(decl_102, type, setadjoin__Cong: $o).
0.18/0.55	thf(decl_103, type, powerset__Cong: $o).
0.18/0.55	thf(decl_104, type, setunion__Cong: $o).
0.18/0.55	thf(decl_105, type, omega__Cong: $o).
0.18/0.55	thf(decl_106, type, exuEu: $o).
0.18/0.55	thf(decl_107, type, descr__Cong: $o).
0.18/0.55	thf(decl_108, type, dsetconstr__Cong: $o).
0.18/0.55	thf(decl_109, type, subset: $i > $i > $o).
0.18/0.55	thf(decl_110, type, disjoint: $i > $i > $o).
0.18/0.55	thf(decl_111, type, setsmeet: $i > $i > $o).
0.18/0.55	thf(decl_112, type, subsetI1: $o).
0.18/0.55	thf(decl_113, type, eqimpsubset2: $o).
0.18/0.55	thf(decl_114, type, eqimpsubset1: $o).
0.18/0.55	thf(decl_115, type, subsetI2: $o).
0.18/0.55	thf(decl_116, type, emptysetsubset: $o).
0.18/0.55	thf(decl_117, type, subsetE: $o).
0.18/0.55	thf(decl_118, type, subsetE2: $o).
0.18/0.55	thf(decl_119, type, notsubsetI: $o).
0.18/0.55	thf(decl_120, type, notequalI1: $o).
0.18/0.55	thf(decl_121, type, notequalI2: $o).
0.18/0.55	thf(decl_122, type, subsetRefl: $o).
0.18/0.55	thf(decl_123, type, subsetTrans: $o).
0.18/0.55	thf(decl_124, type, setadjoinSub: $o).
0.18/0.55	thf(decl_125, type, setadjoinSub2: $o).
0.18/0.55	thf(decl_126, type, subset2powerset: $o).
0.18/0.55	thf(decl_127, type, setextsub: $o).
0.18/0.55	thf(decl_128, type, subsetemptysetimpeq: $o).
0.18/0.55	thf(decl_129, type, powersetI1: $o).
0.18/0.55	thf(decl_130, type, powersetE1: $o).
0.18/0.55	thf(decl_131, type, inPowerset: $o).
0.18/0.55	thf(decl_132, type, powersetsubset: $o).
0.18/0.55	thf(decl_133, type, sepInPowerset: $o).
0.18/0.55	thf(decl_134, type, sepSubset: $o).
0.18/0.55	thf(decl_135, type, binunion: $i > $i > $i).
0.18/0.55	thf(decl_136, type, binunionIL: $o).
0.18/0.55	thf(decl_137, type, upairset2IR: $o).
0.18/0.55	thf(decl_138, type, binunionIR: $o).
0.18/0.55	thf(decl_139, type, binunionEcases: $o).
0.18/0.55	thf(decl_140, type, binunionE: $o).
0.18/0.55	thf(decl_141, type, binunionLsub: $o).
0.18/0.55	thf(decl_142, type, binunionRsub: $o).
0.18/0.55	thf(decl_143, type, binintersect: $i > $i > $i).
0.18/0.55	thf(decl_144, type, binintersectI: $o).
0.18/0.55	thf(decl_145, type, binintersectSubset5: $o).
0.18/0.55	thf(decl_146, type, binintersectEL: $o).
0.18/0.55	thf(decl_147, type, binintersectLsub: $o).
0.18/0.55	thf(decl_148, type, binintersectSubset2: $o).
0.18/0.55	thf(decl_149, type, binintersectSubset3: $o).
0.18/0.55	thf(decl_150, type, binintersectER: $o).
0.18/0.55	thf(decl_151, type, disjointsetsI1: $o).
0.18/0.55	thf(decl_152, type, binintersectRsub: $o).
0.18/0.55	thf(decl_153, type, binintersectSubset4: $o).
0.18/0.55	thf(decl_154, type, binintersectSubset1: $o).
0.18/0.55	thf(decl_155, type, bs114d: $o).
0.18/0.55	thf(decl_156, type, regular: $i > $o).
0.18/0.55	thf(decl_157, type, setminus: $i > $i > $i).
0.18/0.55	thf(decl_158, type, setminusI: $o).
0.18/0.55	thf(decl_159, type, setminusEL: $o).
0.18/0.55	thf(decl_160, type, setminusER: $o).
0.18/0.55	thf(decl_161, type, setminusSubset2: $o).
0.18/0.55	thf(decl_162, type, setminusERneg: $o).
0.18/0.55	thf(decl_163, type, setminusELneg: $o).
0.18/0.55	thf(decl_164, type, setminusILneg: $o).
0.18/0.55	thf(decl_165, type, setminusIRneg: $o).
0.18/0.55	thf(decl_166, type, setminusLsub: $o).
0.18/0.55	thf(decl_167, type, setminusSubset1: $o).
0.18/0.55	thf(decl_168, type, symdiff: $i > $i > $i).
0.18/0.55	thf(decl_169, type, symdiffE: $o).
0.18/0.55	thf(decl_170, type, symdiffI1: $o).
0.18/0.55	thf(decl_171, type, symdiffI2: $o).
0.18/0.55	thf(decl_172, type, symdiffIneg1: $o).
0.18/0.55	thf(decl_173, type, symdiffIneg2: $o).
0.18/0.55	thf(decl_174, type, iskpair: $i > $o).
0.18/0.55	thf(decl_175, type, secondinupair: $o).
0.18/0.55	thf(decl_176, type, setukpairIL: $o).
0.18/0.55	thf(decl_177, type, setukpairIR: $o).
0.18/0.55	thf(decl_178, type, kpairiskpair: $o).
0.18/0.55	thf(decl_179, type, kpair: $i > $i > $i).
0.18/0.55	thf(decl_180, type, kpairp: $o).
0.18/0.55	thf(decl_181, type, cartprod: $i > $i > $i).
0.18/0.55	thf(decl_182, type, singletonsubset: $o).
0.18/0.55	thf(decl_183, type, singletoninpowerset: $o).
0.18/0.55	thf(decl_184, type, singletoninpowunion: $o).
0.18/0.55	thf(decl_185, type, upairset2E: $o).
0.18/0.55	thf(decl_186, type, upairsubunion: $o).
0.18/0.55	thf(decl_187, type, upairinpowunion: $o).
0.18/0.55	thf(decl_188, type, ubforcartprodlem1: $o).
0.18/0.55	thf(decl_189, type, ubforcartprodlem2: $o).
0.18/0.55	thf(decl_190, type, ubforcartprodlem3: $o).
0.18/0.55	thf(decl_191, type, cartprodpairin: $o).
0.18/0.55	thf(decl_192, type, cartprodmempair1: $o).
0.18/0.55	thf(decl_193, type, cartprodmempair: $o).
0.18/0.55	thf(decl_194, type, setunionE2: $o).
0.18/0.55	thf(decl_195, type, setunionsingleton1: $o).
0.18/0.55	thf(decl_196, type, setunionsingleton2: $o).
0.18/0.55	thf(decl_197, type, setunionsingleton: $o).
0.18/0.55	thf(decl_198, type, singleton: $i > $o).
0.18/0.55	thf(decl_199, type, singletonprop: $o).
0.18/0.55	thf(decl_200, type, ex1: $i > ($i > $o) > $o).
0.18/0.55	thf(decl_201, type, ex1E1: $o).
0.18/0.55	thf(decl_202, type, ex1I: $o).
0.18/0.55	thf(decl_203, type, ex1I2: $o).
0.18/0.55	thf(decl_204, type, singletonsuniq: $o).
0.18/0.55	thf(decl_205, type, atmost1p: $i > $o).
0.18/0.55	thf(decl_206, type, atleast2p: $i > $o).
0.18/0.55	thf(decl_207, type, atmost2p: $i > $o).
0.18/0.55	thf(decl_208, type, upairsetp: $i > $o).
0.18/0.55	thf(decl_209, type, setukpairinjL1: $o).
0.18/0.55	thf(decl_210, type, kfstsingleton: $o).
0.18/0.55	thf(decl_211, type, theprop: $o).
0.18/0.55	thf(decl_212, type, kfst: $i > $i).
0.18/0.55	thf(decl_213, type, kfstpairEq: $o).
0.18/0.55	thf(decl_214, type, cartprodfstin: $o).
0.18/0.55	thf(decl_215, type, setukpairinjL2: $o).
0.18/0.55	thf(decl_216, type, setukpairinjL: $o).
0.18/0.55	thf(decl_217, type, setukpairinjR11: $o).
0.18/0.55	thf(decl_218, type, epred1_0: $o).
0.18/0.55	thf(decl_219, type, esk1_2: $i > $i > $i).
0.18/0.55	thf(decl_220, type, esk2_2: $i > $i > $i).
0.18/0.55	thf(decl_221, type, esk3_2: $i > $i > $i).
0.18/0.55	thf(decl_222, type, esk4_1: $i > $i).
0.18/0.55	thf(decl_223, type, esk5_2: ($i > $i > $o) > $i > $i).
0.18/0.55	thf(decl_224, type, esk6_2: ($i > $i > $o) > $i > $i).
0.18/0.55	thf(decl_225, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
0.18/0.55	thf(decl_226, type, esk8_1: $i > $i).
0.18/0.55	thf(decl_227, type, esk9_1: ($i > $o) > $i).
0.18/0.55	thf(decl_228, type, esk10_1: ($i > $o) > $i).
0.18/0.55	thf(decl_229, type, esk11_2: $i > $i > $i).
0.18/0.55	thf(decl_230, type, esk12_2: $i > $i > $i).
0.18/0.55	thf(decl_231, type, esk13_1: $i > $i).
0.18/0.55	thf(decl_232, type, esk14_1: $i > $i).
0.18/0.55	thf(decl_233, type, esk15_1: $i > $i).
0.18/0.55	thf(decl_234, type, esk16_2: $i > $i > $i).
0.18/0.55	thf(decl_235, type, esk17_3: $i > $i > $o > $i).
0.18/0.55	thf(decl_236, type, esk18_1: ($i > $o) > $i).
0.18/0.55	thf(decl_237, type, esk19_1: $i > $i).
0.18/0.55	thf(decl_238, type, esk20_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_239, type, esk21_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_240, type, esk22_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_241, type, esk23_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_242, type, esk24_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_243, type, esk25_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_244, type, esk26_2: ($i > $o) > $i > $i).
0.18/0.55	thf(decl_245, type, esk27_1: ($i > $o) > $i).
0.18/0.55	thf(decl_246, type, esk28_1: ($i > $o) > $i).
0.18/0.55	thf(decl_247, type, esk29_2: ($i > $o) > $i > $i).
0.18/0.55	thf(decl_248, type, esk30_2: ($i > $o) > ($i > $o) > $i).
0.18/0.55	thf(decl_249, type, esk31_2: ($i > $o) > ($i > $o) > $i).
0.18/0.55	thf(decl_250, type, esk32_2: ($i > $o) > ($i > $o) > $i).
0.18/0.55	thf(decl_251, type, esk33_2: ($i > $o) > ($i > $o) > $i).
0.18/0.55	thf(decl_252, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.18/0.55	thf(decl_253, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
0.18/0.55	thf(decl_254, type, esk36_2: $i > $i > $i).
0.18/0.55	thf(decl_255, type, esk37_2: $i > $i > $i).
0.18/0.55	thf(decl_256, type, esk38_2: $i > $i > $i).
0.18/0.55	thf(decl_257, type, esk39_3: $i > $i > $i > $i).
0.18/0.55	thf(decl_258, type, esk40_3: $i > $i > $i > $i).
0.18/0.55	thf(decl_259, type, esk41_2: $i > $i > $i).
0.18/0.55	thf(decl_260, type, esk42_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_261, type, esk43_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_262, type, esk44_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_263, type, esk45_3: $i > ($i > $o) > $i > $i).
0.18/0.55	thf(decl_264, type, esk46_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_265, type, esk47_2: $i > ($i > $o) > $i).
0.18/0.55	thf(decl_266, type, esk48_0: $i).
0.18/0.55	thf(decl_267, type, esk49_0: $i).
0.18/0.55	thf(decl_268, type, esk50_1: $i > $i).
0.18/0.55	thf(decl_269, type, esk51_3: $i > $i > $i > $i).
0.18/0.55	thf(decl_270, type, esk52_2: $i > $i > $i).
0.18/0.55	thf(decl_271, type, esk53_2: $i > $i > $i).
0.18/0.55	thf(decl_272, type, esk54_2: $i > $i > $i).
0.18/0.55	thf(decl_273, type, epred2_1: $i > $i > $o).
0.18/0.55	thf(decl_274, type, epred3_0: $i > $o).
0.18/0.55	thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setoftrueEq)).
0.18/0.55	thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstr__Cong)).
0.18/0.55	thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu__Cong)).
0.18/0.55	thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3u)).
0.18/0.55	thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI2)).
0.18/0.55	thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI3)).
0.18/0.55	thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyE1)).
0.18/0.55	thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI)).
0.18/0.55	thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE1)).
0.18/0.55	thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrEL)).
0.18/0.55	thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrI)).
0.18/0.55	thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', replAx)).
0.18/0.55	thf(ex1I2, axiom, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1I2)).
0.18/0.55	thf(kfstsingleton, axiom, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[X2:$i]:((in @ (setadjoin @ X2 @ emptyset) @ X18)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kfstsingleton)).
0.18/0.55	thf(ex1I, axiom, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1I)).
0.18/0.55	thf(ex1E1, axiom, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ex1E1)).
0.18/0.55	thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonprop)).
0.18/0.55	thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sepInPowerset)).
0.18/0.55	thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sepSubset)).
0.18/0.55	thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descr__Cong)).
0.18/0.55	thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuEu)).
0.18/0.55	thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuI1)).
0.18/0.55	thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE2)).
0.18/0.55	thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setbeta)).
0.18/0.55	thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3e)).
0.18/0.55	thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrER)).
0.18/0.55	thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', descrp)).
0.18/0.55	thf(setukpairinjR12, conjecture, ((setextAx)=>(((setadjoinAx)=>((powersetAx)=>(((omega0Ax)=>(((((foundationAx)=>(((descrp)=>((((dsetconstrER)=>(((prop2setE)=>((emptysetE)=>((((exuE3e)=>(((((setbeta)=>((nonemptyE1)=>((((setadjoinIL)=>((emptyinunitempty)=>(((setadjoinE)=>((setadjoinOr)=>(((((((setunionI)=>(((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>(((eqinunit)=>((((upairsetIL)=>((upairsetIR)=>(((vacuousDall)=>((((quantDeMorgan3)=>(((prop2setI)=>(((notdexE)=>((notdallE)=>((exuI1)=>(((((in__Cong)=>((((emptyset__Cong)=>(((powerset__Cong)=>(((omega__Cong)=>((exuEu)=>((descr__Cong)=>(((subsetI1)=>(((((emptysetsubset)=>(((subsetE2)=>((notsubsetI)=>((notequalI1)=>((((subsetTrans)=>((setadjoinSub)=>(((((((((powersetsubset)=>((sepInPowerset)=>((((((((binunionLsub)=>((binunionRsub)=>(((((binintersectLsub)=>(((((disjointsetsI1)=>(((((bs114d)=>((((setminusER)=>((setminusSubset2)=>((((setminusILneg)=>(((setminusLsub)=>((((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>(((secondinupair)=>(((((((singletoninpowerset)=>((((upairsubunion)=>(((((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((((setunionsingleton1)=>(((setunionsingleton)=>(((((ex1I2)=>((((kfstsingleton)=>(((kfstpairEq)=>((cartprodfstin)=>(((setukpairinjL)=>(![X2:$i, X3:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))<=((X2)=(X3))))<=(setukpairinjR11)))<=(setukpairinjL2))))<=(theprop)))<=(setukpairinjL1))<=(singletonsuniq)))<=(ex1I))<=(ex1E1))<=(singletonprop)))<=(setunionsingleton2)))<=(setunionE2))<=(cartprodmempair)))))<=(ubforcartprodlem2))<=(ubforcartprodlem1))<=(upairinpowunion)))<=(upairset2E))<=(singletoninpowunion)))<=(singletonsubset))<=(kpairp))<=(kpairiskpair))<=(setukpairIR))<=(setukpairIL)))<=(symdiffIneg2)))))<=(symdiffE))<=(setminusSubset1)))<=(setminusIRneg)))<=(setminusELneg))<=(setminusERneg))))<=(setminusEL))<=(setminusI)))<=(binintersectSubset1))<=(binintersectSubset4))<=(binintersectRsub)))<=(binintersectER))<=(binintersectSubset3))<=(binintersectSubset2)))<=(binintersectEL))<=(binintersectSubset5))<=(binintersectI))))<=(binunionE))<=(binunionEcases))<=(binunionIR))<=(upairset2IR))<=(binunionIL))<=(sepSubset))))<=(inPowerset))<=(powersetE1))<=(powersetI1))<=(subsetemptysetimpeq))<=(setextsub))<=(subset2powerset))<=(setadjoinSub2))))<=(subsetRefl))<=(notequalI2)))))<=(subsetE)))<=(subsetI2))<=(eqimpsubset1))<=(eqimpsubset2)))<=(dsetconstr__Cong)))))<=(setunion__Cong)))<=(setadjoin__Cong)))<=(exu__Cong))<=(exuE3u)))<=(inCongP))<=(exuI2))<=(exuI3)))))<=(prop2set2propI)))<=(quantDeMorgan4)))<=(quantDeMorgan2))<=(quantDeMorgan1)))<=(emptyE1))))<=(upairsetE))<=(singletonsswitch)))<=(notinsingleton))))))<=(setunionE)))<=(powersetE))<=(emptyInPowerset))<=(emptyinPowerset))<=(powersetI))<=(setoftrueEq))))<=(setadjoinIR))))<=(nonemptyI1))<=(nonemptyI))))<=(noeltsimpempty))<=(emptyI))<=(setext)))<=(notinemptyset))<=(emptysetimpfalse))))<=(exuE1)))<=(dsetconstrEL))<=(dsetconstrI)))<=(wellorderingAx)))<=(replAx))<=(omegaIndAx))<=(omegaSAx)))<=(setunionAx))))<=(emptysetAx))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR12)).
0.18/0.55	thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffI2)).
0.18/0.55	thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIR)).
0.18/0.55	thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetAx)).
0.18/0.55	thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqimpsubset2)).
0.18/0.55	thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunion__Cong)).
0.18/0.55	thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionRsub)).
0.18/0.55	thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoin__Cong)).
0.18/0.55	thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectLsub)).
0.18/0.55	thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inCongP)).
0.18/0.55	thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', disjointsetsI1)).
0.18/0.55	thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', bs114d)).
0.18/0.55	thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan4)).
0.18/0.55	thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan2)).
0.18/0.55	thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusER)).
0.18/0.55	thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan1)).
0.18/0.55	thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusSubset2)).
0.18/0.55	thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetE)).
0.18/0.55	thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsswitch)).
0.18/0.55	thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusILneg)).
0.18/0.55	thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinsingleton)).
0.18/0.55	thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionE)).
0.18/0.55	thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusLsub)).
0.18/0.55	thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetE)).
0.18/0.55	thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyInPowerset)).
0.18/0.55	thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinPowerset)).
0.18/0.55	thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffI1)).
0.18/0.55	thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI)).
0.18/0.55	thf(setukpairinjL1, axiom, ((setukpairinjL1)<=>![X2:$i, X3:$i, X14:$i]:(((in @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL1)).
0.18/0.55	thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyI1)).
0.18/0.55	thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffIneg1)).
0.18/0.55	thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', noeltsimpempty)).
0.18/0.55	thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyI)).
0.18/0.55	thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', secondinupair)).
0.18/0.55	thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setext)).
0.18/0.55	thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinemptyset)).
0.18/0.55	thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletoninpowerset)).
0.18/0.55	thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetimpfalse)).
0.18/0.55	thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsubunion)).
0.18/0.55	thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', wellorderingAx)).
0.18/0.55	thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem3)).
0.18/0.55	thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaIndAx)).
0.18/0.55	thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaSAx)).
0.18/0.55	thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodpairin)).
0.18/0.55	thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionAx)).
0.18/0.55	thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempair1)).
0.18/0.55	thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton1)).
0.18/0.55	thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton)).
0.18/0.55	thf(kfstpairEq, axiom, ((kfstpairEq)<=>![X2:$i, X3:$i]:(((kfst @ (kpair @ X2 @ X3))=(X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kfstpairEq)).
0.18/0.55	thf(cartprodfstin, axiom, ((cartprodfstin)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(in @ (kfst @ X18) @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodfstin)).
0.18/0.55	thf(setukpairinjL, axiom, ((setukpairinjL)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((kpair @ X2 @ X3)=(kpair @ X14 @ X18))=>((X2)=(X14))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL)).
0.18/0.55	thf(setukpairinjR11, axiom, ((setukpairinjR11)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjR11)).
0.18/0.55	thf(setukpairinjL2, axiom, ((setukpairinjL2)<=>![X2:$i, X3:$i, X14:$i, X18:$i]:((((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X14 @ emptyset) @ (setadjoin @ (setadjoin @ X14 @ (setadjoin @ X18 @ emptyset)) @ emptyset)))=>((X2)=(X14))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairinjL2)).
0.18/0.55	thf(theprop, axiom, ((theprop)<=>![X21:$i]:(((singleton @ X21)=>(in @ (setunion @ X21) @ X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', theprop)).
0.18/0.55	thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionEcases)).
0.18/0.55	thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionIR)).
0.18/0.55	thf(singletonsuniq, axiom, ((singletonsuniq)<=>![X2:$i, X3:$i]:((((setadjoin @ X2 @ emptyset)=(setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsuniq)).
0.18/0.55	thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionsingleton2)).
0.18/0.55	thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionE2)).
0.18/0.55	thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cartprodmempair)).
0.18/0.55	thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem2)).
0.18/0.55	thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ubforcartprodlem1)).
0.18/0.55	thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairinpowunion)).
0.18/0.55	thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairset2E)).
0.18/0.55	thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletoninpowunion)).
0.18/0.55	thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', singletonsubset)).
0.18/0.55	thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairp)).
0.18/0.55	thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kpairiskpair)).
0.18/0.55	thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairIR)).
0.18/0.55	thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setukpairIL)).
0.18/0.55	thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffIneg2)).
0.18/0.55	thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symdiffE)).
0.18/0.55	thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusSubset1)).
0.18/0.55	thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusIRneg)).
0.18/0.55	thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusELneg)).
0.18/0.55	thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetTrans)).
0.18/0.55	thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusERneg)).
0.18/0.55	thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusEL)).
0.18/0.55	thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setminusI)).
0.18/0.55	thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset1)).
0.18/0.55	thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset4)).
0.18/0.55	thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectRsub)).
0.18/0.55	thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectER)).
0.18/0.55	thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset3)).
0.18/0.55	thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinSub)).
0.18/0.55	thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetsubset)).
0.18/0.55	thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset2)).
0.18/0.55	thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectEL)).
0.18/0.55	thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectSubset5)).
0.18/0.55	thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binintersectI)).
0.18/0.55	thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionE)).
0.18/0.55	thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairset2IR)).
0.18/0.55	thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionIL)).
0.18/0.55	thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', inPowerset)).
0.18/0.55	thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetE1)).
0.18/0.55	thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetI1)).
0.18/0.55	thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetemptysetimpeq)).
0.18/0.55	thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextsub)).
0.18/0.55	thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset2powerset)).
0.18/0.55	thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', binunionLsub)).
0.18/0.55	thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinSub2)).
0.18/0.55	thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetRefl)).
0.18/0.55	thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notequalI2)).
0.18/0.55	thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetE)).
0.18/0.55	thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetI2)).
0.18/0.55	thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqimpsubset1)).
0.18/0.55	thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notequalI1)).
0.18/0.55	thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notsubsetI)).
0.18/0.55	thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetE2)).
0.18/0.55	thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetsubset)).
0.18/0.55	thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subsetI1)).
0.18/0.55	thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega__Cong)).
0.18/0.55	thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powerset__Cong)).
0.18/0.55	thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyset__Cong)).
0.18/0.55	thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', in__Cong)).
0.18/0.55	thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdallE)).
0.18/0.55	thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notdexE)).
0.18/0.55	thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setI)).
0.18/0.55	thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quantDeMorgan3)).
0.18/0.55	thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', vacuousDall)).
0.18/0.55	thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIR)).
0.18/0.55	thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', upairsetIL)).
0.18/0.55	thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', eqinunit)).
0.18/0.55	thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', uniqinunit)).
0.18/0.55	thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyImpWitness)).
0.18/0.55	thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subPowSU)).
0.18/0.55	thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setunionI)).
0.18/0.55	thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinOr)).
0.18/0.55	thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinE)).
0.18/0.55	thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptyinunitempty)).
0.18/0.55	thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinIL)).
0.18/0.55	thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nonemptyE1)).
0.18/0.55	thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetE)).
0.18/0.55	thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setE)).
0.18/0.55	thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', foundationAx)).
0.18/0.55	thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega0Ax)).
0.18/0.55	thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetAx)).
0.18/0.55	thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinAx)).
0.18/0.55	thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextAx)).
0.18/0.55	thf(c_0_166, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
0.18/0.55	thf(c_0_167, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
0.18/0.55	thf(c_0_168, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
0.18/0.55	thf(c_0_169, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
0.18/0.55	thf(c_0_170, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
0.18/0.55	thf(c_0_171, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
0.18/0.55	thf(c_0_172, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
0.18/0.55	thf(c_0_173, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
0.18/0.55	thf(c_0_174, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
0.18/0.55	thf(c_0_175, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
0.18/0.55	thf(c_0_176, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
0.18/0.55	thf(c_0_177, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
0.18/0.55	thf(c_0_178, plain, ((ex1I2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[ex1I2])).
0.18/0.55	thf(c_0_179, plain, ((kfstsingleton)<=>![X18:$i]:(((iskpair @ X18)=>(singleton @ (dsetconstr @ (setunion @ X18) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X18)))))))), inference(fof_simplification,[status(thm)],[kfstsingleton])).
0.18/0.55	thf(c_0_180, plain, ((ex1I)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X3)=>((X3)=(X2)))))=>(ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])).
0.18/0.55	thf(c_0_181, plain, ((ex1E1)<=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))), inference(fof_simplification,[status(thm)],[ex1E1])).
0.18/0.55	thf(c_0_182, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
0.18/0.55	thf(c_0_183, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
0.18/0.55	thf(c_0_184, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
0.18/0.55	thf(c_0_185, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
0.18/0.55	thf(c_0_186, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
0.18/0.55	thf(c_0_187, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
0.18/0.55	thf(c_0_188, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
0.18/0.55	thf(c_0_189, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
0.18/0.55	thf(c_0_190, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
0.18/0.55	thf(c_0_191, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
0.18/0.55	thf(c_0_192, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
0.18/0.55	thf(c_0_193, plain, ((epred1_0)<=>![X891:$i]:(?[X892:$i]:((((![X893:$i]:(((in @ X893 @ X892)=>![X894:$i]:(((in @ X894 @ X893)=>(in @ X894 @ X891)))))&![X895:$i, X896:$i]:((((in @ X895 @ X891)&(in @ X896 @ X891))=>(![X897:$i]:(((in @ X897 @ X892)=>((in @ X895 @ X897)<=>(in @ X896 @ X897))))=>((X895)=(X896))))))&![X898:$i, X899:$i]:((((in @ X898 @ X892)&(in @ X899 @ X892))=>(![X900:$i]:(((in @ X900 @ X898)=>(in @ X900 @ X899)))|![X901:$i]:(((in @ X901 @ X899)=>(in @ X901 @ X898)))))))&![X902:$i]:(((![X903:$i]:(((in @ X903 @ X902)=>(in @ X903 @ X891)))&?[X904:$i]:((in @ X904 @ X902)))=>?[X905:$i, X906:$i]:(((((in @ X905 @ X892)&(in @ X906 @ X902))&~(?[X907:$i]:(((in @ X907 @ X905)&(in @ X907 @ X902)))))&![X908:$i]:(((in @ X908 @ X892)=>(![X909:$i]:(((in @ X909 @ X908)=>(in @ X909 @ X905)))|(in @ X906 @ X908)))))))))))), introduced(definition)).
0.18/0.55	thf(c_0_194, negated_conjecture, ~((![X474:$i, X475:$i]:((![X476:$i]:(((in @ X476 @ X474)<=>(in @ X476 @ X475)))=>((X474)=(X475))))=>(![X923:$i]:(~(in @ X923 @ emptyset))=>(![X477:$i, X478:$i, X479:$i]:(((in @ X479 @ (setadjoin @ X477 @ X478))<=>(((X479)=(X477))|(in @ X479 @ X478))))=>(![X480:$i, X481:$i]:(((in @ X481 @ (powerset @ X480))<=>![X482:$i]:(((in @ X482 @ X481)=>(in @ X482 @ X480)))))=>(![X920:$i, X921:$i]:(((in @ X921 @ (setunion @ X920))<=>?[X922:$i]:(((in @ X921 @ X922)&(in @ X922 @ X920)))))=>((in @ emptyset @ omega)=>(![X919:$i]:(((in @ X919 @ omega)=>(in @ (setadjoin @ X919 @ X919) @ omega)))=>(![X916:$i]:((((in @ emptyset @ X916)&![X917:$i]:((((in @ X917 @ omega)&(in @ X917 @ X916))=>(in @ (setadjoin @ X917 @ X917) @ X916))))=>![X918:$i]:(((in @ X918 @ omega)=>(in @ X918 @ X916)))))=>(![X910:$i > $i > $o, X911:$i]:((![X912:$i]:(((in @ X912 @ X911)=>(exu @ (^[Z0:$i]:((X910 @ X912 @ Z0))))))=>?[X913:$i]:(![X914:$i]:(((in @ X914 @ X913)<=>?[X915:$i]:(((in @ X915 @ X911)&(X910 @ X915 @ X914))))))))=>(![X483:$i]:((?[X484:$i]:((in @ X484 @ X483))=>?[X485:$i]:(((in @ X485 @ X483)&~(?[X486:$i]:(((in @ X486 @ X485)&(in @ X486 @ X483))))))))=>((epred1_0)=>(![X487:$i > $o]:(((exu @ (^[Z0:$i]:((X487 @ Z0))))=>(X487 @ (descr @ (^[Z0:$i]:((X487 @ Z0)))))))=>(![X888:$i, X889:$i > $o, X890:$i]:(((in @ X890 @ X888)=>((X889 @ X890)=>(in @ X890 @ (dsetconstr @ X888 @ (^[Z0:$i]:((X889 @ Z0))))))))=>(![X885:$i, X886:$i > $o, X887:$i]:(((in @ X887 @ (dsetconstr @ X885 @ (^[Z0:$i]:((X886 @ Z0)))))=>(in @ X887 @ X885)))=>(![X488:$i, X489:$i > $o, X490:$i]:(((in @ X490 @ (dsetconstr @ X488 @ (^[Z0:$i]:((X489 @ Z0)))))=>(X489 @ X490)))=>(![X882:$i > $o]:(((exu @ (^[Z0:$i]:((X882 @ Z0))))=>?[X883:$i]:(((X882 @ X883)&![X884:$i]:(((X882 @ X884)=>((X883)=(X884))))))))=>(![X491:$o, X492:$i]:(((in @ X492 @ (prop2set @ ((X491))))=>(X491)))=>(![X493:$i]:(((in @ X493 @ emptyset)=>![X494:$o]:((X494))))=>(![X881:$i]:(~(in @ X881 @ emptyset))=>(![X880:$i]:(~(in @ X880 @ emptyset))=>(![X495:$i > $o]:(((exu @ (^[Z0:$i]:((X495 @ Z0))))=>?[X496:$i]:((X495 @ X496))))=>(![X876:$i, X877:$i]:((![X878:$i]:(((in @ X878 @ X876)=>(in @ X878 @ X877)))=>(![X879:$i]:(((in @ X879 @ X877)=>(in @ X879 @ X876)))=>((X876)=(X877)))))=>(![X874:$i]:((![X875:$i]:(~(in @ X875 @ X874))=>((X874)=(emptyset))))=>(![X872:$i]:((![X873:$i]:(~(in @ X873 @ X872))=>((X872)=(emptyset))))=>(![X497:$i, X498:$i > $o, X499:$i]:(((in @ X499 @ X497)=>((in @ X499 @ (dsetconstr @ X497 @ (^[Z0:$i]:((X498 @ Z0)))))<=>(X498 @ X499))))=>(![X500:$i]:(((nonempty @ X500)=>?[X501:$i]:((in @ X501 @ X500))))=>(![X869:$i, X870:$i > $o, X871:$i]:(((in @ X871 @ X869)=>((X870 @ X871)=>(nonempty @ (dsetconstr @ X869 @ (^[Z0:$i]:((X870 @ Z0))))))))=>(![X867:$i]:((?[X868:$i]:((in @ X868 @ X867))=>(nonempty @ X867)))=>(![X502:$i, X503:$i]:((in @ X502 @ (setadjoin @ X502 @ X503)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X864:$i, X865:$i, X866:$i]:(((in @ X866 @ X865)=>(in @ X866 @ (setadjoin @ X864 @ X865))))=>(![X504:$i, X505:$i, X506:$i]:(((in @ X506 @ (setadjoin @ X504 @ X505))=>![X507:$o]:(((((X506)=(X504))=>(X507))=>(((in @ X506 @ X505)=>(X507))=>(X507))))))=>(![X508:$i, X509:$i, X510:$i]:(((in @ X510 @ (setadjoin @ X508 @ X509))=>(((X510)=(X508))|(in @ X510 @ X509))))=>(![X863:$i]:(((dsetconstr @ X863 @ (^[Z0:$i]:(($true))))=(X863)))=>(![X860:$i, X861:$i]:((![X862:$i]:(((in @ X862 @ X861)=>(in @ X862 @ X860)))=>(in @ X861 @ (powerset @ X860))))=>(![X859:$i]:((in @ emptyset @ (powerset @ X859)))=>(![X858:$i]:((in @ emptyset @ (powerset @ X858)))=>(![X855:$i, X856:$i, X857:$i]:(((in @ X856 @ (powerset @ X855))=>((in @ X857 @ X856)=>(in @ X857 @ X855))))=>(![X511:$i, X512:$i, X513:$i]:(((in @ X512 @ X513)=>((in @ X513 @ X511)=>(in @ X512 @ (setunion @ X511)))))=>(![X851:$i, X852:$i]:(((in @ X852 @ (setunion @ X851))=>![X853:$o]:((![X854:$i]:(((in @ X852 @ X854)=>((in @ X854 @ X851)=>(X853))))=>(X853)))))=>(![X514:$i, X515:$i]:(((in @ X515 @ X514)=>(in @ X515 @ (powerset @ (setunion @ X514)))))=>(![X516:$i > $o]:(((exu @ (^[Z0:$i]:((X516 @ Z0))))=>?[X517:$i]:(![X518:$i]:(((X516 @ X518)<=>((X518)=(X517)))))))=>(![X519:$i]:(((nonempty @ X519)=>?[X520:$i]:((in @ X520 @ X519))))=>(![X521:$i, X522:$i]:(((in @ X521 @ (setadjoin @ X522 @ emptyset))=>((X521)=(X522))))=>(![X849:$i, X850:$i]:((((X849)!=(X850))=>~(in @ X850 @ (setadjoin @ X849 @ emptyset))))=>(![X523:$i, X524:$i]:((((X523)=(X524))=>(in @ X523 @ (setadjoin @ X524 @ emptyset))))=>(![X847:$i, X848:$i]:(((in @ X847 @ (setadjoin @ X848 @ emptyset))=>(in @ X848 @ (setadjoin @ X847 @ emptyset))))=>(![X844:$i, X845:$i, X846:$i]:(((in @ X846 @ (setadjoin @ X844 @ (setadjoin @ X845 @ emptyset)))=>(((X846)=(X844))|((X846)=(X845)))))=>(![X525:$i, X526:$i]:((in @ X525 @ (setadjoin @ X525 @ (setadjoin @ X526 @ emptyset))))=>(![X527:$i, X528:$i]:((in @ X528 @ (setadjoin @ X527 @ (setadjoin @ X528 @ emptyset))))=>(![X841:$i, X842:$i > $o]:((?[X843:$i]:(((in @ X843 @ X841)&(X842 @ X843)))=>((dsetconstr @ X841 @ (^[Z0:$i]:((X842 @ Z0))))!=(emptyset))))=>(![X529:$i > $o, X530:$i]:(((in @ X530 @ emptyset)=>(X529 @ X530)))=>(![X837:$i, X838:$i > $o]:((~(![X839:$i]:(((in @ X839 @ X837)=>(X838 @ X839))))=>?[X840:$i]:(((in @ X840 @ X837)&~(X838 @ X840)))))=>(![X833:$i, X834:$i > $o]:((![X835:$i]:(((in @ X835 @ X833)=>~(X834 @ X835)))=>~(?[X836:$i]:(((in @ X836 @ X833)&(X834 @ X836))))))=>(![X531:$i, X532:$i > $o]:((~(?[X533:$i]:(((in @ X533 @ X531)&(X532 @ X533))))=>![X534:$i]:(((in @ X534 @ X531)=>~(X532 @ X534)))))=>(![X829:$i, X830:$i > $o]:((?[X831:$i]:(((in @ X831 @ X829)&~(X830 @ X831)))=>~(![X832:$i]:(((in @ X832 @ X829)=>(X830 @ X832))))))=>(![X535:$o]:(((X535)=>(in @ emptyset @ (prop2set @ ((X535))))))=>((prop2set2propI)=>(![X536:$i, X537:$i > $o]:((~(?[X538:$i]:(((in @ X538 @ X536)&(X537 @ X538))))=>![X539:$i]:(((in @ X539 @ X536)=>~(X537 @ X539)))))=>(![X540:$i, X541:$i > $o]:((~(![X542:$i]:(((in @ X542 @ X540)=>(X541 @ X542))))=>?[X543:$i]:(((in @ X543 @ X540)&~(X541 @ X543)))))=>(![X544:$i > $o]:((?[X545:$i]:(((X544 @ X545)&![X546:$i]:(((X544 @ X546)=>((X545)=(X546))))))=>(exu @ (^[Z0:$i]:((X544 @ Z0))))))=>(![X825:$i > $o]:((?[X826:$i]:((X825 @ X826))=>(![X827:$i, X828:$i]:(((X825 @ X827)=>((X825 @ X828)=>((X827)=(X828)))))=>(exu @ (^[Z0:$i]:((X825 @ Z0)))))))=>(![X822:$i > $o]:((?[X823:$i]:(![X824:$i]:(((X822 @ X824)<=>((X824)=(X823)))))=>(exu @ (^[Z0:$i]:((X822 @ Z0))))))=>(![X818:$i, X819:$i]:((((X818)=(X819))=>![X820:$i, X821:$i]:((((X820)=(X821))=>((in @ X820 @ X818)=>(in @ X821 @ X819))))))=>(![X547:$i, X548:$i]:((((X547)=(X548))=>![X549:$i, X550:$i]:((((X549)=(X550))=>((in @ X549 @ X547)<=>(in @ X550 @ X548))))))=>(![X815:$i > $o]:(((exu @ (^[Z0:$i]:((X815 @ Z0))))=>![X816:$i, X817:$i]:(((X815 @ X816)=>((X815 @ X817)=>((X816)=(X817)))))))=>(![X811:$i > $o, X812:$i > $o]:((![X813:$i, X814:$i]:((((X813)=(X814))=>((X811 @ X813)<=>(X812 @ X814))))=>((exu @ (^[Z0:$i]:((X811 @ Z0))))<=>(exu @ (^[Z0:$i]:((X812 @ Z0)))))))=>(((emptyset)=(emptyset))=>(![X807:$i, X808:$i]:((((X807)=(X808))=>![X809:$i, X810:$i]:((((X809)=(X810))=>((setadjoin @ X807 @ X809)=(setadjoin @ X808 @ X810))))))=>(![X551:$i, X552:$i]:((((X551)=(X552))=>((powerset @ X551)=(powerset @ X552))))=>(![X805:$i, X806:$i]:((((X805)=(X806))=>((setunion @ X805)=(setunion @ X806))))=>(((omega)=(omega))=>(![X553:$i > $o]:(((exu @ (^[Z0:$i]:((X553 @ Z0))))=>![X554:$i, X555:$i]:(((X553 @ X554)=>((X553 @ X555)=>((X554)=(X555)))))))=>(![X556:$i > $o, X557:$i > $o]:((![X558:$i, X559:$i]:((((X558)=(X559))=>((X556 @ X558)<=>(X557 @ X559))))=>((exu @ (^[Z0:$i]:((X556 @ Z0))))=>((exu @ (^[Z0:$i]:((X557 @ Z0))))=>((descr @ (^[Z0:$i]:((X556 @ Z0))))=(descr @ (^[Z0:$i]:((X557 @ Z0)))))))))=>(![X799:$i, X800:$i]:((((X799)=(X800))=>![X801:$i > $o, X802:$i > $o]:((![X803:$i]:(((in @ X803 @ X799)=>![X804:$i]:(((in @ X804 @ X800)=>(((X803)=(X804))=>((X801 @ X803)<=>(X802 @ X804)))))))=>((dsetconstr @ X799 @ (^[Z0:$i]:((X801 @ Z0))))=(dsetconstr @ X800 @ (^[Z0:$i]:((X802 @ Z0)))))))))=>(![X560:$i, X561:$i]:((![X562:$i]:(((in @ X562 @ X560)=>(in @ X562 @ X561)))=>(subset @ X560 @ X561)))=>(![X797:$i, X798:$i]:((((X797)=(X798))=>(subset @ X798 @ X797)))=>(![X795:$i, X796:$i]:((((X795)=(X796))=>(subset @ X795 @ X796)))=>(![X792:$i, X793:$i]:((![X794:$i]:(((in @ X794 @ X792)=>(in @ X794 @ X793)))=>(subset @ X792 @ X793)))=>(![X563:$i]:((subset @ emptyset @ X563))=>(![X789:$i, X790:$i, X791:$i]:(((subset @ X789 @ X790)=>((in @ X791 @ X789)=>(in @ X791 @ X790))))=>(![X564:$i, X565:$i, X566:$i]:(((subset @ X564 @ X565)=>(~(in @ X566 @ X565)=>~(in @ X566 @ X564))))=>(![X567:$i, X568:$i, X569:$i]:(((in @ X569 @ X567)=>(~(in @ X569 @ X568)=>~(subset @ X567 @ X568))))=>(![X570:$i, X571:$i]:((~(subset @ X570 @ X571)=>((X570)!=(X571))))=>(![X786:$i, X787:$i, X788:$i]:(((in @ X788 @ X786)=>(~(in @ X788 @ X787)=>((X786)!=(X787)))))=>(![X785:$i]:((subset @ X785 @ X785))=>(![X572:$i, X573:$i, X574:$i]:(((subset @ X572 @ X573)=>((subset @ X573 @ X574)=>(subset @ X572 @ X574))))=>(![X575:$i, X576:$i]:((subset @ X576 @ (setadjoin @ X575 @ X576)))=>(![X782:$i, X783:$i, X784:$i]:(((subset @ X782 @ X784)=>(subset @ X782 @ (setadjoin @ X783 @ X784))))=>(![X780:$i, X781:$i]:(((subset @ X780 @ X781)=>(in @ X780 @ (powerset @ X781))))=>(![X778:$i, X779:$i]:(((subset @ X778 @ X779)=>((subset @ X779 @ X778)=>((X778)=(X779)))))=>(![X777:$i]:(((subset @ X777 @ emptyset)=>((X777)=(emptyset))))=>(![X775:$i, X776:$i]:(((subset @ X776 @ X775)=>(in @ X776 @ (powerset @ X775))))=>(![X773:$i, X774:$i]:(((in @ X774 @ (powerset @ X773))=>(subset @ X774 @ X773)))=>(![X772:$i]:((in @ X772 @ (powerset @ X772)))=>(![X577:$i, X578:$i]:(((subset @ X577 @ X578)=>(subset @ (powerset @ X577) @ (powerset @ X578))))=>(![X579:$i, X580:$i > $o]:((in @ (dsetconstr @ X579 @ (^[Z0:$i]:((X580 @ Z0)))) @ (powerset @ X579)))=>(![X770:$i, X771:$i > $o]:((subset @ (dsetconstr @ X770 @ (^[Z0:$i]:((X771 @ Z0)))) @ X770))=>(![X767:$i, X768:$i, X769:$i]:(((in @ X769 @ X767)=>(in @ X769 @ (binunion @ X767 @ X768))))=>(![X765:$i, X766:$i]:((in @ X766 @ (setadjoin @ X765 @ (setadjoin @ X766 @ emptyset))))=>(![X762:$i, X763:$i, X764:$i]:(((in @ X764 @ X763)=>(in @ X764 @ (binunion @ X762 @ X763))))=>(![X758:$i, X759:$i, X760:$i, X761:$o]:(((in @ X760 @ (binunion @ X758 @ X759))=>(((in @ X760 @ X758)=>(X761))=>(((in @ X760 @ X759)=>(X761))=>(X761)))))=>(![X755:$i, X756:$i, X757:$i]:(((in @ X757 @ (binunion @ X755 @ X756))=>((in @ X757 @ X755)|(in @ X757 @ X756))))=>(![X581:$i, X582:$i]:((subset @ X581 @ (binunion @ X581 @ X582)))=>(![X583:$i, X584:$i]:((subset @ X584 @ (binunion @ X583 @ X584)))=>(![X752:$i, X753:$i, X754:$i]:(((in @ X754 @ X752)=>((in @ X754 @ X753)=>(in @ X754 @ (binintersect @ X752 @ X753)))))=>(![X749:$i, X750:$i, X751:$i]:(((subset @ X751 @ X749)=>((subset @ X751 @ X750)=>(subset @ X751 @ (binintersect @ X749 @ X750)))))=>(![X746:$i, X747:$i, X748:$i]:(((in @ X748 @ (binintersect @ X746 @ X747))=>(in @ X748 @ X746)))=>(![X585:$i, X586:$i]:((subset @ (binintersect @ X585 @ X586) @ X585))=>(![X744:$i, X745:$i]:(((subset @ X744 @ X745)=>((binintersect @ X744 @ X745)=(X744))))=>(![X742:$i, X743:$i]:((((binintersect @ X742 @ X743)=(X743))=>(subset @ X743 @ X742)))=>(![X739:$i, X740:$i, X741:$i]:(((in @ X741 @ (binintersect @ X739 @ X740))=>(in @ X741 @ X740)))=>(![X587:$i, X588:$i]:((~(?[X589:$i]:(((in @ X589 @ X587)&(in @ X589 @ X588))))=>((binintersect @ X587 @ X588)=(emptyset))))=>(![X737:$i, X738:$i]:((subset @ (binintersect @ X737 @ X738) @ X738))=>(![X735:$i, X736:$i]:(((subset @ X736 @ X735)=>((binintersect @ X735 @ X736)=(X736))))=>(![X733:$i, X734:$i]:((((binintersect @ X733 @ X734)=(X733))=>(subset @ X733 @ X734)))=>(![X590:$i, X591:$i, X592:$i]:(((binintersect @ X590 @ (binunion @ X591 @ X592))=(binunion @ (binintersect @ X590 @ X591) @ (binintersect @ X590 @ X592))))=>(![X730:$i, X731:$i, X732:$i]:(((in @ X732 @ X730)=>(~(in @ X732 @ X731)=>(in @ X732 @ (setminus @ X730 @ X731)))))=>(![X727:$i, X728:$i, X729:$i]:(((in @ X729 @ (setminus @ X727 @ X728))=>(in @ X729 @ X727)))=>(![X593:$i, X594:$i, X595:$i]:(((in @ X595 @ (setminus @ X593 @ X594))=>~(in @ X595 @ X594)))=>(![X596:$i, X597:$i]:(((subset @ X596 @ X597)=>((setminus @ X596 @ X597)=(emptyset))))=>(![X724:$i, X725:$i, X726:$i]:((~(in @ X726 @ (setminus @ X724 @ X725))=>((in @ X726 @ X724)=>(in @ X726 @ X725))))=>(![X721:$i, X722:$i, X723:$i]:((~(in @ X723 @ (setminus @ X721 @ X722))=>(~(in @ X723 @ X722)=>~(in @ X723 @ X721))))=>(![X598:$i, X599:$i, X600:$i]:((~(in @ X600 @ X598)=>~(in @ X600 @ (setminus @ X598 @ X599))))=>(![X718:$i, X719:$i, X720:$i]:(((in @ X720 @ X719)=>~(in @ X720 @ (setminus @ X718 @ X719))))=>(![X601:$i, X602:$i]:((subset @ (setminus @ X601 @ X602) @ X601))=>(![X716:$i, X717:$i]:((((setminus @ X716 @ X717)=(emptyset))=>(subset @ X716 @ X717)))=>(![X712:$i, X713:$i, X714:$i]:(((in @ X714 @ (symdiff @ X712 @ X713))=>![X715:$o]:((((in @ X714 @ X712)=>(~(in @ X714 @ X713)=>(X715)))=>((~(in @ X714 @ X712)=>((in @ X714 @ X713)=>(X715)))=>(X715))))))=>(![X603:$i, X604:$i, X605:$i]:(((in @ X605 @ X603)=>(~(in @ X605 @ X604)=>(in @ X605 @ (symdiff @ X603 @ X604)))))=>(![X606:$i, X607:$i, X608:$i]:((~(in @ X608 @ X606)=>((in @ X608 @ X607)=>(in @ X608 @ (symdiff @ X606 @ X607)))))=>(![X609:$i, X610:$i, X611:$i]:(((in @ X611 @ X609)=>((in @ X611 @ X610)=>~(in @ X611 @ (symdiff @ X609 @ X610)))))=>(![X709:$i, X710:$i, X711:$i]:((~(in @ X711 @ X709)=>(~(in @ X711 @ X710)=>~(in @ X711 @ (symdiff @ X709 @ X710)))))=>(![X612:$i, X613:$i]:((in @ X613 @ (setadjoin @ X612 @ (setadjoin @ X613 @ emptyset))))=>(![X707:$i, X708:$i]:((in @ X707 @ (setunion @ (setadjoin @ (setadjoin @ X707 @ emptyset) @ (setadjoin @ (setadjoin @ X707 @ (setadjoin @ X708 @ emptyset)) @ emptyset)))))=>(![X705:$i, X706:$i]:((in @ X706 @ (setunion @ (setadjoin @ (setadjoin @ X705 @ emptyset) @ (setadjoin @ (setadjoin @ X705 @ (setadjoin @ X706 @ emptyset)) @ emptyset)))))=>(![X703:$i, X704:$i]:((iskpair @ (setadjoin @ (setadjoin @ X703 @ emptyset) @ (setadjoin @ (setadjoin @ X703 @ (setadjoin @ X704 @ emptyset)) @ emptyset))))=>(![X701:$i, X702:$i]:((iskpair @ (kpair @ X701 @ X702)))=>(![X699:$i, X700:$i]:(((in @ X700 @ X699)=>(subset @ (setadjoin @ X700 @ emptyset) @ X699)))=>(![X614:$i, X615:$i]:(((in @ X615 @ X614)=>(in @ (setadjoin @ X615 @ emptyset) @ (powerset @ X614))))=>(![X696:$i, X697:$i, X698:$i]:(((in @ X698 @ X696)=>(in @ (setadjoin @ X698 @ emptyset) @ (powerset @ (binunion @ X696 @ X697)))))=>(![X693:$i, X694:$i, X695:$i]:(((in @ X695 @ (setadjoin @ X693 @ (setadjoin @ X694 @ emptyset)))=>(((X695)=(X693))|((X695)=(X694)))))=>(![X616:$i, X617:$i, X618:$i]:(((in @ X618 @ X616)=>![X619:$i]:(((in @ X619 @ X617)=>(subset @ (setadjoin @ X618 @ (setadjoin @ X619 @ emptyset)) @ (binunion @ X616 @ X617))))))=>(![X689:$i, X690:$i, X691:$i]:(((in @ X691 @ X689)=>![X692:$i]:(((in @ X692 @ X690)=>(in @ (setadjoin @ X691 @ (setadjoin @ X692 @ emptyset)) @ (powerset @ (binunion @ X689 @ X690)))))))=>(![X685:$i, X686:$i, X687:$i]:(((in @ X687 @ X685)=>![X688:$i]:(((in @ X688 @ X686)=>(subset @ (setadjoin @ (setadjoin @ X687 @ emptyset) @ (setadjoin @ (setadjoin @ X687 @ (setadjoin @ X688 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X685 @ X686)))))))=>(![X681:$i, X682:$i, X683:$i]:(((in @ X683 @ X681)=>![X684:$i]:(((in @ X684 @ X682)=>(in @ (setadjoin @ (setadjoin @ X683 @ emptyset) @ (setadjoin @ (setadjoin @ X683 @ (setadjoin @ X684 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X681 @ X682))))))))=>(![X620:$i, X621:$i, X622:$i]:(((in @ X622 @ X620)=>![X623:$i]:(((in @ X623 @ X621)=>(in @ (kpair @ X622 @ X623) @ (powerset @ (powerset @ (binunion @ X620 @ X621))))))))=>(![X624:$i, X625:$i, X626:$i]:(((in @ X626 @ X624)=>![X627:$i]:(((in @ X627 @ X625)=>(in @ (kpair @ X626 @ X627) @ (cartprod @ X624 @ X625))))))=>(![X628:$i, X629:$i, X630:$i]:(((in @ X630 @ (cartprod @ X628 @ X629))=>?[X631:$i]:(((in @ X631 @ X628)&?[X632:$i]:(((in @ X632 @ X629)&((X630)=(kpair @ X631 @ X632))))))))=>(![X678:$i, X679:$i, X680:$i]:(((in @ X680 @ (cartprod @ X678 @ X679))=>(iskpair @ X680)))=>(![X675:$i, X676:$i]:(((in @ X676 @ (setunion @ X675))=>?[X677:$i]:(((in @ X677 @ X675)&(in @ X676 @ X677)))))=>(![X633:$i]:((subset @ (setunion @ (setadjoin @ X633 @ emptyset)) @ X633))=>(![X674:$i]:((subset @ X674 @ (setunion @ (setadjoin @ X674 @ emptyset))))=>(![X634:$i]:(((setunion @ (setadjoin @ X634 @ emptyset))=(X634)))=>(![X669:$i, X670:$i > $o]:((![X671:$i]:(((in @ X671 @ X669)=>![X672:$i]:(((in @ X672 @ X669)=>((X670 @ X671)=>((X670 @ X672)=>((X671)=(X672))))))))=>(?[X673:$i]:(((in @ X673 @ X669)&(X670 @ X673)))=>(singleton @ (dsetconstr @ X669 @ (^[Z0:$i]:((X670 @ Z0))))))))=>(![X666:$i, X667:$i > $o]:(((ex1 @ X666 @ (^[Z0:$i]:((X667 @ Z0))))=>?[X668:$i]:(((in @ X668 @ X666)&(X667 @ X668)))))=>(![X662:$i, X663:$i > $o, X664:$i]:(((in @ X664 @ X662)=>((X663 @ X664)=>(![X665:$i]:(((in @ X665 @ X662)=>((X663 @ X665)=>((X665)=(X664)))))=>(ex1 @ X662 @ (^[Z0:$i]:((X663 @ Z0))))))))=>(![X635:$i, X636:$i > $o]:((![X637:$i]:(((in @ X637 @ X635)=>![X638:$i]:(((in @ X638 @ X635)=>((X636 @ X637)=>((X636 @ X638)=>((X637)=(X638))))))))=>(?[X639:$i]:(((in @ X639 @ X635)&(X636 @ X639)))=>(ex1 @ X635 @ (^[Z0:$i]:((X636 @ Z0)))))))=>(![X660:$i, X661:$i]:((((setadjoin @ X660 @ emptyset)=(setadjoin @ X661 @ emptyset))=>((X660)=(X661))))=>(![X657:$i, X658:$i, X659:$i]:(((in @ (setadjoin @ X659 @ emptyset) @ (setadjoin @ (setadjoin @ X657 @ emptyset) @ (setadjoin @ (setadjoin @ X657 @ (setadjoin @ X658 @ emptyset)) @ emptyset)))=>((X657)=(X659))))=>(![X640:$i]:(((iskpair @ X640)=>(singleton @ (dsetconstr @ (setunion @ X640) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X640)))))))=>(![X656:$i]:(((singleton @ X656)=>(in @ (setunion @ X656) @ X656)))=>(![X641:$i, X642:$i]:(((kfst @ (kpair @ X641 @ X642))=(X641)))=>(![X643:$i, X644:$i, X645:$i]:(((in @ X645 @ (cartprod @ X643 @ X644))=>(in @ (kfst @ X645) @ X643)))=>(![X652:$i, X653:$i, X654:$i, X655:$i]:((((setadjoin @ (setadjoin @ X652 @ emptyset) @ (setadjoin @ (setadjoin @ X652 @ (setadjoin @ X653 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X654 @ emptyset) @ (setadjoin @ (setadjoin @ X654 @ (setadjoin @ X655 @ emptyset)) @ emptyset)))=>((X652)=(X654))))=>(![X646:$i, X647:$i, X648:$i, X649:$i]:((((kpair @ X646 @ X647)=(kpair @ X648 @ X649))=>((X646)=(X648))))=>(![X650:$i, X651:$i]:((((X650)=(X651))=>((setadjoin @ X650 @ (setadjoin @ X651 @ emptyset))=(setadjoin @ X650 @ emptyset))))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X2 @ emptyset) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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(assume_negation,[status(cth)],[setukpairinjR12]), symdiffI2]), c_0_166]), setadjoinIR]), emptysetAx]), eqimpsubset2]), c_0_167]), setunion__Cong]), binunionRsub]), setadjoin__Cong]), c_0_168]), binintersectLsub]), c_0_169]), inCongP]), disjointsetsI1]), c_0_170]), c_0_171]), bs114d]), quantDeMorgan4]), quantDeMorgan2]), setminusER]), quantDeMorgan1]), c_0_172]), setminusSubset2]), upairsetE]), singletonsswitch]), setminusILneg]), notinsingleton]), setunionE]), setminusLsub]), powersetE]), emptyInPowerset]), emptyinPowerset]), symdiffI1]), powersetI]), setukpairinjL1]), nonemptyI1]), c_0_173]), symdiffIneg1]), noeltsimpempty]), emptyI]), secondinupair]), setext]), notinemptyset]), singletoninpowerset]), emptysetimpfalse]), c_0_174]), c_0_175]), c_0_176]), upairsubunion]), wellorderingAx]), c_0_177]), ubforcartprodlem3]), omegaIndAx]), omegaSAx]), cartprodpairin]), setunionAx]), cartprodmempair1]), setunionsingleton1]), setunionsingleton]), c_0_178]), c_0_179]), kfstpairEq]), cartprodfstin]), setukpairinjL]), setukpairinjR11]), setukpairinjL2]), theprop]), binunionEcases]), binunionIR]), singletonsuniq]), c_0_180]), c_0_181]), c_0_182]), setunionsingleton2]), setunionE2]), cartprodmempair]), ubforcartprodlem2]), ubforcartprodlem1]), upairinpowunion]), upairset2E]), singletoninpowunion]), singletonsubset]), kpairp]), kpairiskpair]), setukpairIR]), setukpairIL]), symdiffIneg2]), symdiffE]), setminusSubset1]), setminusIRneg]), setminusELneg]), subsetTrans]), setminusERneg]), setminusEL]), setminusI]), binintersectSubset1]), binintersectSubset4]), binintersectRsub]), binintersectER]), binintersectSubset3]), setadjoinSub]), powersetsubset]), binintersectSubset2]), binintersectEL]), c_0_183]), binintersectSubset5]), binintersectI]), binunionE]), upairset2IR]), binunionIL]), c_0_184]), inPowerset]), powersetE1]), powersetI1]), subsetemptysetimpeq]), setextsub]), subset2powerset]), binunionLsub]), setadjoinSub2]), subsetRefl]), notequalI2]), subsetE]), subsetI2]), eqimpsubset1]), notequalI1]), notsubsetI]), subsetE2]), emptysetsubset]), subsetI1]), c_0_185]), c_0_186]), omega__Cong]), powerset__Cong]), emptyset__Cong]), in__Cong]), c_0_187]), notdallE]), notdexE]), prop2setI]), quantDeMorgan3]), vacuousDall]), upairsetIR]), upairsetIL]), eqinunit]), uniqinunit]), nonemptyImpWitness]), c_0_188]), subPowSU]), setunionI]), setadjoinOr]), setadjoinE]), emptyinunitempty]), setadjoinIL]), nonemptyE1]), c_0_189]), c_0_190]), emptysetE]), prop2setE]), c_0_191]), c_0_192]), foundationAx]), omega0Ax]), powersetAx]), setadjoinAx]), setextAx])]), c_0_193])).
0.18/0.55	thf(c_0_195, negated_conjecture, ![X924:$i, X925:$i, X927:$i, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X937:$i, X938:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X946:$i, X947:$i > $i > $o, X948:$i, X951:$i, X953:$i, X954:$i, X955:$i, X956:$i, X958:$i, X959:$i > $o, X960:$i, X961:$i > $o, X962:$i, X963:$i, X964:$i > $o, X965:$i, X966:$i, X967:$i > $o, X968:$i, X969:$i > $o, X971:$i, X972:$o, X973:$i, X974:$i, X975:$o, X976:$i, X977:$i, X978:$i > $o, X980:$i, X981:$i, X984:$i, X986:$i, X988:$i, X989:$i > $o, X990:$i, X991:$i, X993:$i, X994:$i > $o, X995:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$o, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$o, X1026:$i, X1027:$i, X1028:$i > $o, X1030:$i, X1031:$i, X1032:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i > $o, X1051:$i, X1052:$i > $o, X1053:$i, X1054:$i, X1055:$i > $o, X1056:$i, X1058:$i, X1059:$i > $o, X1061:$i, X1062:$i, X1063:$i > $o, X1065:$i, X1066:$i, X1067:$i > $o, X1068:$i, X1070:$o, X1071:$i, X1072:$i > $o, X1074:$i, X1075:$i, X1076:$i > $o, X1077:$i, X1079:$i > $o, X1080:$i, X1082:$i > $o, X1083:$i, X1086:$i > $o, X1087:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i > $o, X1098:$i, X1099:$i, X1100:$i > $o, X1101:$i > $o, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1112:$i > $o, X1113:$i, X1114:$i, X1115:$i > $o, X1116:$i > $o, X1119:$i, X1120:$i, X1121:$i > $o, X1122:$i > $o, X1125:$i, X1126:$i, X1128:$i, X1129:$i, X1130:$i, X1131:$i, X1132:$i, X1133:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1162:$i, X1163:$i, X1164:$i, X1165:$i, X1166:$i, X1167:$i, X1168:$i, X1169:$i, X1170:$i, X1171:$i, X1172:$i > $o, X1173:$i, X1174:$i > $o, X1175:$i, X1176:$i, X1177:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$o, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1212:$i, X1213:$i, X1215:$i, X1216:$i, X1217:$i, X1218:$i, X1219:$i, X1220:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1253:$i, X1254:$o, X1255:$i, X1256:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$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, X1287:$i, X1288:$i, X1289:$i, X1290:$i, X1291:$i, X1292:$i, X1293:$i, X1294:$i, X1295:$i, X1296:$i, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1316:$i, X1317:$i, X1318:$i, X1319:$i, X1320:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i > $o, X1329:$i, X1330:$i, X1331:$i > $o, X1333:$i, X1334:$i > $o, X1335:$i, X1337:$i, X1338:$i > $o, X1341:$i, X1342:$i, X1343:$i, X1344:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1358:$i, X1359:$i, X1360:$i, X1361:$i, X1362:$i, X1363:$i]:((((~(in @ (esk1_2 @ X924 @ X925) @ X924)|~(in @ (esk1_2 @ X924 @ X925) @ X925)|((X924)=(X925)))&((in @ (esk1_2 @ X924 @ X925) @ X924)|(in @ (esk1_2 @ X924 @ X925) @ X925)|((X924)=(X925))))&(~(in @ X927 @ emptyset)&(((~(in @ X930 @ (setadjoin @ X928 @ X929))|(((X930)=(X928))|(in @ X930 @ X929)))&((((X930)!=(X928))|(in @ X930 @ (setadjoin @ X928 @ X929)))&(~(in @ X930 @ X929)|(in @ X930 @ (setadjoin @ X928 @ X929)))))&(((~(in @ X932 @ (powerset @ X931))|(~(in @ X933 @ X932)|(in @ X933 @ X931)))&(((in @ (esk2_2 @ X934 @ X935) @ X935)|(in @ X935 @ (powerset @ X934)))&(~(in @ (esk2_2 @ X934 @ X935) @ X934)|(in @ X935 @ (powerset @ X934)))))&(((((in @ X938 @ (esk3_2 @ X937 @ X938))|~(in @ X938 @ (setunion @ X937)))&((in @ (esk3_2 @ X937 @ X938) @ X937)|~(in @ X938 @ (setunion @ X937))))&(~(in @ X941 @ X942)|~(in @ X942 @ X940)|(in @ X941 @ (setunion @ X940))))&((in @ emptyset @ omega)&((~(in 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X1185 @ (binunion @ X1183 @ X1184)))&(~(X1186)|(X1186)|(in @ X1185 @ X1183)|~(in @ X1185 @ (binunion @ X1183 @ X1184))))&(((in @ X1185 @ X1184)|(X1186)|~(X1186)|~(in @ X1185 @ (binunion @ X1183 @ X1184)))&(~(X1186)|(X1186)|~(X1186)|~(in @ X1185 @ (binunion @ X1183 @ X1184)))))&((~(in @ X1189 @ (binunion @ X1187 @ X1188))|((in @ X1189 @ X1187)|(in @ X1189 @ X1188)))&((subset @ X1190 @ (binunion @ X1190 @ X1191))&((subset @ X1193 @ (binunion @ X1192 @ X1193))&((~(in @ X1196 @ X1194)|(~(in @ X1196 @ X1195)|(in @ X1196 @ (binintersect @ X1194 @ X1195))))&((~(subset @ X1199 @ X1197)|(~(subset @ X1199 @ X1198)|(subset @ X1199 @ (binintersect @ X1197 @ X1198))))&((~(in @ X1202 @ (binintersect @ X1200 @ X1201))|(in @ X1202 @ X1200))&((subset @ (binintersect @ X1203 @ X1204) @ X1203)&((~(subset @ X1205 @ X1206)|((binintersect @ X1205 @ X1206)=(X1205)))&((((binintersect @ X1207 @ X1208)!=(X1208))|(subset @ X1208 @ X1207))&((~(in @ X1211 @ (binintersect @ X1209 @ X1210))|(in @ X1211 @ X1210))&((((in @ (esk38_2 @ X1212 @ X1213) @ X1212)|((binintersect @ X1212 @ X1213)=(emptyset)))&((in @ (esk38_2 @ X1212 @ X1213) @ X1213)|((binintersect @ X1212 @ X1213)=(emptyset))))&((subset @ (binintersect @ X1215 @ X1216) @ X1216)&((~(subset @ X1218 @ X1217)|((binintersect @ X1217 @ X1218)=(X1218)))&((((binintersect @ X1219 @ X1220)!=(X1219))|(subset @ X1219 @ X1220))&(((binintersect @ X1221 @ (binunion @ X1222 @ X1223))=(binunion @ (binintersect @ X1221 @ X1222) @ (binintersect @ X1221 @ X1223)))&((~(in @ X1226 @ X1224)|((in @ X1226 @ X1225)|(in @ X1226 @ (setminus @ X1224 @ X1225))))&((~(in @ X1229 @ (setminus @ X1227 @ X1228))|(in @ X1229 @ X1227))&((~(in @ X1232 @ (setminus @ X1230 @ X1231))|~(in @ X1232 @ X1231))&((~(subset @ X1233 @ X1234)|((setminus @ X1233 @ X1234)=(emptyset)))&(((in @ X1237 @ (setminus @ X1235 @ X1236))|(~(in @ X1237 @ X1235)|(in @ X1237 @ X1236)))&(((in @ X1240 @ (setminus @ X1238 @ X1239))|((in @ X1240 @ X1239)|~(in @ X1240 @ X1238)))&(((in @ X1243 @ X1241)|~(in @ X1243 @ (setminus @ X1241 @ X1242)))&((~(in @ X1246 @ X1245)|~(in @ X1246 @ (setminus @ X1244 @ X1245)))&((subset @ (setminus @ X1247 @ X1248) @ X1247)&((((setminus @ X1249 @ X1250)!=(emptyset))|(subset @ X1249 @ X1250))&((((~(in @ X1253 @ X1251)|(X1254)|(in @ X1253 @ X1251)|~(in @ X1253 @ (symdiff @ X1251 @ X1252)))&(((in @ X1253 @ X1252)|(X1254)|(in @ X1253 @ X1251)|~(in @ X1253 @ (symdiff @ X1251 @ X1252)))&(~(X1254)|(X1254)|(in @ X1253 @ X1251)|~(in @ X1253 @ (symdiff @ X1251 @ X1252)))))&(((~(in @ X1253 @ X1251)|(X1254)|~(in @ X1253 @ X1252)|~(in @ X1253 @ (symdiff @ X1251 @ X1252)))&(((in @ X1253 @ X1252)|(X1254)|~(in @ X1253 @ X1252)|~(in @ X1253 @ (symdiff @ X1251 @ X1252)))&(~(X1254)|(X1254)|~(in @ X1253 @ X1252)|~(in @ X1253 @ (symdiff @ X1251 @ X1252)))))&((~(in @ X1253 @ X1251)|(X1254)|~(X1254)|~(in @ X1253 @ (symdiff @ X1251 @ X1252)))&(((in @ X1253 @ X1252)|(X1254)|~(X1254)|~(in @ X1253 @ (symdiff @ X1251 @ X1252)))&(~(X1254)|(X1254)|~(X1254)|~(in @ X1253 @ (symdiff @ X1251 @ X1252)))))))&((~(in @ X1257 @ X1255)|((in @ X1257 @ X1256)|(in @ X1257 @ (symdiff @ X1255 @ X1256))))&(((in @ X1260 @ X1258)|(~(in @ X1260 @ X1259)|(in @ X1260 @ (symdiff @ X1258 @ X1259))))&((~(in @ X1263 @ X1261)|(~(in @ X1263 @ X1262)|~(in @ X1263 @ (symdiff @ X1261 @ X1262))))&(((in @ X1266 @ X1264)|((in @ X1266 @ X1265)|~(in @ X1266 @ (symdiff @ X1264 @ X1265))))&((in @ X1268 @ (setadjoin @ X1267 @ (setadjoin @ X1268 @ emptyset)))&((in @ X1269 @ (setunion @ (setadjoin @ (setadjoin @ X1269 @ emptyset) @ (setadjoin @ (setadjoin @ X1269 @ (setadjoin @ X1270 @ emptyset)) @ emptyset))))&((in @ X1272 @ (setunion @ (setadjoin @ (setadjoin @ X1271 @ emptyset) @ (setadjoin @ (setadjoin @ X1271 @ (setadjoin @ X1272 @ emptyset)) @ emptyset))))&((iskpair @ (setadjoin @ (setadjoin @ X1273 @ emptyset) @ (setadjoin @ (setadjoin @ X1273 @ (setadjoin @ X1274 @ emptyset)) @ emptyset)))&((iskpair @ (kpair @ X1275 @ X1276))&((~(in @ X1278 @ X1277)|(subset @ (setadjoin @ X1278 @ emptyset) @ X1277))&((~(in @ X1280 @ X1279)|(in @ (setadjoin @ X1280 @ emptyset) @ (powerset @ X1279)))&((~(in @ X1283 @ X1281)|(in @ (setadjoin @ X1283 @ emptyset) @ (powerset @ (binunion @ X1281 @ X1282))))&((~(in @ X1286 @ (setadjoin @ X1284 @ (setadjoin @ X1285 @ emptyset)))|(((X1286)=(X1284))|((X1286)=(X1285))))&((~(in @ X1289 @ X1287)|(~(in @ X1290 @ X1288)|(subset @ (setadjoin @ X1289 @ (setadjoin @ X1290 @ emptyset)) @ (binunion @ X1287 @ X1288))))&((~(in @ X1293 @ X1291)|(~(in @ X1294 @ X1292)|(in @ (setadjoin @ X1293 @ (setadjoin @ X1294 @ emptyset)) @ (powerset @ (binunion @ X1291 @ X1292)))))&((~(in @ X1297 @ X1295)|(~(in @ X1298 @ X1296)|(subset @ (setadjoin @ (setadjoin @ X1297 @ emptyset) @ (setadjoin @ (setadjoin @ X1297 @ (setadjoin @ X1298 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1295 @ X1296)))))&((~(in @ X1301 @ X1299)|(~(in @ X1302 @ X1300)|(in @ (setadjoin @ (setadjoin @ X1301 @ emptyset) @ (setadjoin @ (setadjoin @ X1301 @ (setadjoin @ X1302 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1299 @ X1300))))))&((~(in @ X1305 @ X1303)|(~(in @ X1306 @ X1304)|(in @ (kpair @ X1305 @ X1306) @ (powerset @ (powerset @ (binunion @ X1303 @ X1304))))))&((~(in @ X1309 @ X1307)|(~(in @ X1310 @ X1308)|(in @ (kpair @ X1309 @ X1310) @ (cartprod @ X1307 @ X1308))))&((((in @ (esk39_3 @ X1311 @ X1312 @ X1313) @ X1311)|~(in @ X1313 @ (cartprod @ X1311 @ X1312)))&(((in @ (esk40_3 @ X1311 @ X1312 @ X1313) @ X1312)|~(in @ X1313 @ (cartprod @ X1311 @ X1312)))&(((X1313)=(kpair @ (esk39_3 @ X1311 @ X1312 @ X1313) @ (esk40_3 @ X1311 @ X1312 @ X1313)))|~(in @ X1313 @ (cartprod @ X1311 @ X1312)))))&((~(in @ X1318 @ (cartprod @ X1316 @ X1317))|(iskpair @ X1318))&((((in @ (esk41_2 @ X1319 @ X1320) @ X1319)|~(in @ X1320 @ (setunion @ X1319)))&((in @ X1320 @ (esk41_2 @ X1319 @ X1320))|~(in @ X1320 @ (setunion @ X1319))))&((subset @ (setunion @ (setadjoin @ X1322 @ emptyset)) @ X1322)&((subset @ X1323 @ (setunion @ (setadjoin @ X1323 @ emptyset)))&(((setunion @ (setadjoin @ X1324 @ emptyset))=(X1324))&((((in @ (esk42_2 @ X1325 @ X1326) @ X1325)|(~(in @ X1329 @ X1325)|~(X1326 @ X1329)|(singleton @ (dsetconstr @ X1325 @ (^[Z0:$i]:((X1326 @ Z0)))))))&(((in @ (esk43_2 @ X1325 @ X1326) @ X1325)|(~(in @ X1329 @ X1325)|~(X1326 @ X1329)|(singleton @ (dsetconstr @ X1325 @ (^[Z0:$i]:((X1326 @ Z0)))))))&(((X1326 @ (esk42_2 @ X1325 @ X1326))|(~(in @ X1329 @ X1325)|~(X1326 @ X1329)|(singleton @ (dsetconstr @ X1325 @ (^[Z0:$i]:((X1326 @ Z0)))))))&(((X1326 @ (esk43_2 @ X1325 @ X1326))|(~(in @ X1329 @ X1325)|~(X1326 @ X1329)|(singleton @ (dsetconstr @ X1325 @ (^[Z0:$i]:((X1326 @ Z0)))))))&(((esk42_2 @ X1325 @ X1326)!=(esk43_2 @ X1325 @ X1326))|(~(in @ X1329 @ X1325)|~(X1326 @ X1329)|(singleton @ (dsetconstr @ X1325 @ (^[Z0:$i]:((X1326 @ Z0)))))))))))&((((in @ (esk44_2 @ X1330 @ X1331) @ X1330)|~(ex1 @ X1330 @ (^[Z0:$i]:((X1331 @ Z0)))))&((X1331 @ (esk44_2 @ X1330 @ X1331))|~(ex1 @ X1330 @ (^[Z0:$i]:((X1331 @ Z0))))))&((((in @ (esk45_3 @ X1333 @ X1334 @ X1335) @ X1333)|(ex1 @ X1333 @ (^[Z0:$i]:((X1334 @ Z0))))|~(X1334 @ X1335)|~(in @ X1335 @ X1333))&(((X1334 @ (esk45_3 @ X1333 @ X1334 @ X1335))|(ex1 @ X1333 @ (^[Z0:$i]:((X1334 @ Z0))))|~(X1334 @ X1335)|~(in @ X1335 @ X1333))&(((esk45_3 @ X1333 @ X1334 @ X1335)!=(X1335))|(ex1 @ X1333 @ (^[Z0:$i]:((X1334 @ Z0))))|~(X1334 @ X1335)|~(in @ X1335 @ X1333))))&((((in @ (esk46_2 @ X1337 @ X1338) @ X1337)|(~(in @ X1341 @ X1337)|~(X1338 @ X1341)|(ex1 @ X1337 @ (^[Z0:$i]:((X1338 @ Z0))))))&(((in @ (esk47_2 @ X1337 @ X1338) @ X1337)|(~(in @ X1341 @ X1337)|~(X1338 @ X1341)|(ex1 @ X1337 @ (^[Z0:$i]:((X1338 @ Z0))))))&(((X1338 @ (esk46_2 @ X1337 @ X1338))|(~(in @ X1341 @ X1337)|~(X1338 @ X1341)|(ex1 @ X1337 @ (^[Z0:$i]:((X1338 @ Z0))))))&(((X1338 @ (esk47_2 @ X1337 @ X1338))|(~(in @ X1341 @ X1337)|~(X1338 @ X1341)|(ex1 @ X1337 @ (^[Z0:$i]:((X1338 @ Z0))))))&(((esk46_2 @ X1337 @ X1338)!=(esk47_2 @ X1337 @ X1338))|(~(in @ X1341 @ X1337)|~(X1338 @ X1341)|(ex1 @ X1337 @ (^[Z0:$i]:((X1338 @ Z0))))))))))&((((setadjoin @ X1342 @ emptyset)!=(setadjoin @ X1343 @ emptyset))|((X1342)=(X1343)))&((~(in @ (setadjoin @ X1346 @ emptyset) @ (setadjoin @ (setadjoin @ X1344 @ emptyset) @ (setadjoin @ (setadjoin @ X1344 @ (setadjoin @ X1345 @ emptyset)) @ emptyset)))|((X1344)=(X1346)))&((~(iskpair @ X1347)|(singleton @ (dsetconstr @ (setunion @ X1347) @ (^[Z0:$i]:((in @ (setadjoin @ Z0 @ emptyset) @ X1347))))))&((~(singleton @ X1348)|(in @ (setunion @ X1348) @ X1348))&(((kfst @ (kpair @ X1349 @ X1350))=(X1349))&((~(in @ X1353 @ (cartprod @ X1351 @ X1352))|(in @ (kfst @ X1353) @ X1351))&((((setadjoin @ (setadjoin @ X1354 @ emptyset) @ (setadjoin @ (setadjoin @ X1354 @ (setadjoin @ X1355 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ X1356 @ emptyset) @ (setadjoin @ (setadjoin @ X1356 @ (setadjoin @ X1357 @ emptyset)) @ emptyset)))|((X1354)=(X1356)))&((((kpair @ X1358 @ X1359)!=(kpair @ X1360 @ X1361))|((X1358)=(X1360)))&((((X1362)!=(X1363))|((setadjoin @ X1362 @ (setadjoin @ X1363 @ emptyset))=(setadjoin @ X1362 @ emptyset)))&(((esk48_0)=(esk49_0))&((setadjoin @ (setadjoin @ esk48_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk48_0 @ (setadjoin @ esk49_0 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ esk48_0 @ emptyset) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_194])])])])])])).
0.18/0.55	thf(c_0_196, negated_conjecture, ((setadjoin @ (setadjoin @ esk48_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk48_0 @ (setadjoin @ esk49_0 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ esk48_0 @ emptyset) @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_195])).
0.18/0.55	thf(c_0_197, negated_conjecture, ((esk48_0)=(esk49_0)), inference(split_conjunct,[status(thm)],[c_0_195])).
0.18/0.55	thf(c_0_198, negated_conjecture, ![X2:$i, X3:$i]:((((setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))=(setadjoin @ X2 @ emptyset))|((X2)!=(X3)))), inference(split_conjunct,[status(thm)],[c_0_195])).
0.18/0.55	thf(c_0_199, negated_conjecture, ((setadjoin @ (setadjoin @ esk48_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk48_0 @ (setadjoin @ esk48_0 @ emptyset)) @ emptyset))!=(setadjoin @ (setadjoin @ esk48_0 @ emptyset) @ emptyset)), inference(rw,[status(thm)],[c_0_196, c_0_197])).
0.18/0.55	thf(c_0_200, negated_conjecture, ![X2:$i]:(((setadjoin @ X2 @ (setadjoin @ X2 @ emptyset))=(setadjoin @ X2 @ emptyset))), inference(er,[status(thm)],[c_0_198])).
0.18/0.55	thf(c_0_201, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199, c_0_200]), c_0_200])]), ['proof']).
0.18/0.55	# SZS output end CNFRefutation
0.18/0.55	# Parsed axioms                        : 369
0.18/0.55	# Removed by relevancy pruning/SinE    : 203
0.18/0.55	# Initial clauses                      : 261
0.18/0.55	# Removed in clause preprocessing      : 23
0.18/0.55	# Initial clauses in saturation        : 238
0.18/0.55	# Processed clauses                    : 345
0.18/0.55	# ...of these trivial                  : 7
0.18/0.55	# ...subsumed                          : 34
0.18/0.55	# ...remaining for further processing  : 304
0.18/0.55	# Other redundant clauses eliminated   : 14
0.18/0.55	# Clauses deleted for lack of memory   : 0
0.18/0.55	# Backward-subsumed                    : 0
0.18/0.55	# Backward-rewritten                   : 4
0.18/0.55	# Generated clauses                    : 198
0.18/0.55	# ...of the previous two non-redundant : 152
0.18/0.55	# ...aggressively subsumed             : 0
0.18/0.55	# Contextual simplify-reflections      : 0
0.18/0.55	# Paramodulations                      : 183
0.18/0.55	# Factorizations                       : 0
0.18/0.55	# NegExts                              : 0
0.18/0.55	# Equation resolutions                 : 15
0.18/0.55	# Propositional unsat checks           : 0
0.18/0.55	#    Propositional check models        : 0
0.18/0.55	#    Propositional check unsatisfiable : 0
0.18/0.55	#    Propositional clauses             : 0
0.18/0.55	#    Propositional clauses after purity: 0
0.18/0.55	#    Propositional unsat core size     : 0
0.18/0.55	#    Propositional preprocessing time  : 0.000
0.18/0.55	#    Propositional encoding time       : 0.000
0.18/0.55	#    Propositional solver time         : 0.000
0.18/0.55	#    Success case prop preproc time    : 0.000
0.18/0.55	#    Success case prop encoding time   : 0.000
0.18/0.55	#    Success case prop solver time     : 0.000
0.18/0.55	# Current number of processed clauses  : 86
0.18/0.55	#    Positive orientable unit clauses  : 35
0.18/0.55	#    Positive unorientable unit clauses: 0
0.18/0.55	#    Negative unit clauses             : 6
0.18/0.55	#    Non-unit-clauses                  : 45
0.18/0.55	# Current number of unprocessed clauses: 246
0.18/0.55	# ...number of literals in the above   : 615
0.18/0.55	# Current number of archived formulas  : 0
0.18/0.55	# Current number of archived clauses   : 206
0.18/0.55	# Clause-clause subsumption calls (NU) : 5253
0.18/0.55	# Rec. Clause-clause subsumption calls : 3036
0.18/0.55	# Non-unit clause-clause subsumptions  : 24
0.18/0.55	# Unit Clause-clause subsumption calls : 29
0.18/0.55	# Rewrite failures with RHS unbound    : 0
0.18/0.55	# BW rewrite match attempts            : 20
0.18/0.55	# BW rewrite match successes           : 2
0.18/0.55	# Condensation attempts                : 345
0.18/0.55	# Condensation successes               : 4
0.18/0.55	# Termbank termtop insertions          : 39383
0.18/0.55	
0.18/0.55	# -------------------------------------------------
0.18/0.55	# User time                : 0.054 s
0.18/0.55	# System time              : 0.009 s
0.18/0.55	# Total time               : 0.063 s
0.18/0.55	# Maximum resident set size: 5372 pages
0.18/0.55	
0.18/0.55	# -------------------------------------------------
0.18/0.55	# User time                : 0.060 s
0.18/0.55	# System time              : 0.014 s
0.18/0.55	# Total time               : 0.074 s
0.18/0.55	# Maximum resident set size: 2208 pages
0.18/0.55	EOF