%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU624^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:24:46 AM UTC 2026
% Result : Theorem 0.71s 0.42s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU624^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:57:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.27 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p
% 0.71/0.42 % Version: 3.5.1-ho
% 0.71/0.42 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.71/0.42 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.42 % Starting ehoh_best5 with 300s (1) cores
% 0.71/0.42 % Starting almost_fo_3_lam with 300s (1) cores
% 0.71/0.42 % Starting new_bool_5 with 300s (1) cores
% 0.71/0.42 % Starting pre_casc_3 with 300s (1) cores
% 0.71/0.42 % Starting ho_unfolding_8 with 300s (1) cores
% 0.71/0.42 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.71/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.71/0.42 % Starting new_ho_5 with 300s (1) cores
% 0.71/0.42 % ehoh_best5 with pid 3408923 completed with status 0
% 0.71/0.42 % Result found by ehoh_best5
% 0.71/0.42 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.71/0.42 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.42 % Starting ehoh_best5 with 300s (1) cores
% 0.71/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.71/0.42 % No SInE strategy applied
% 0.71/0.42 % Search class: HGHSM-FSLM31-MHFMMSBN
% 0.71/0.42 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.71/0.42 % Starting SubtermCWHack with 28s (1) cores
% 0.71/0.42 % SubtermCWHack with pid 3408936 completed with status 0
% 0.71/0.42 % Result found by SubtermCWHack
% 0.71/0.42 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.71/0.42 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.42 % Starting ehoh_best5 with 300s (1) cores
% 0.71/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.71/0.42 % No SInE strategy applied
% 0.71/0.42 % Search class: HGHSM-FSLM31-MHFMMSBN
% 0.71/0.42 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.71/0.42 % Starting SubtermCWHack with 28s (1) cores
% 0.71/0.42 % Preprocessing time : 0.005 s
% 0.71/0.42
% 0.71/0.42 % Proof found!
% 0.71/0.42 % SZS status Theorem
% 0.71/0.42 % SZS output start CNFRefutation
% 0.71/0.42 thf(decl_23, type, in: $i > $i > $o).
% 0.71/0.42 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.71/0.42 thf(decl_25, type, setextAx: $o).
% 0.71/0.42 thf(decl_26, type, emptyset: $i).
% 0.71/0.42 thf(decl_27, type, emptysetAx: $o).
% 0.71/0.42 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.71/0.42 thf(decl_29, type, setadjoinAx: $o).
% 0.71/0.42 thf(decl_30, type, powerset: $i > $i).
% 0.71/0.42 thf(decl_31, type, powersetAx: $o).
% 0.71/0.42 thf(decl_32, type, setunion: $i > $i).
% 0.71/0.42 thf(decl_33, type, setunionAx: $o).
% 0.71/0.42 thf(decl_34, type, omega: $i).
% 0.71/0.42 thf(decl_35, type, omega0Ax: $o).
% 0.71/0.42 thf(decl_36, type, omegaSAx: $o).
% 0.71/0.42 thf(decl_37, type, omegaIndAx: $o).
% 0.71/0.42 thf(decl_38, type, replAx: $o).
% 0.71/0.42 thf(decl_39, type, foundationAx: $o).
% 0.71/0.42 thf(decl_40, type, wellorderingAx: $o).
% 0.71/0.42 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.71/0.42 thf(decl_42, type, descrp: $o).
% 0.71/0.42 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.71/0.42 thf(decl_44, type, dsetconstrI: $o).
% 0.71/0.42 thf(decl_45, type, dsetconstrEL: $o).
% 0.71/0.42 thf(decl_46, type, dsetconstrER: $o).
% 0.71/0.42 thf(decl_47, type, exuE1: $o).
% 0.71/0.42 thf(decl_48, type, prop2set: $o > $i).
% 0.71/0.42 thf(decl_49, type, prop2setE: $o).
% 0.71/0.42 thf(decl_50, type, emptysetE: $o).
% 0.71/0.42 thf(decl_51, type, emptysetimpfalse: $o).
% 0.71/0.42 thf(decl_52, type, notinemptyset: $o).
% 0.71/0.42 thf(decl_53, type, exuE3e: $o).
% 0.71/0.42 thf(decl_54, type, setext: $o).
% 0.71/0.42 thf(decl_55, type, emptyI: $o).
% 0.71/0.42 thf(decl_56, type, noeltsimpempty: $o).
% 0.71/0.42 thf(decl_57, type, setbeta: $o).
% 0.71/0.42 thf(decl_58, type, nonempty: $i > $o).
% 0.71/0.42 thf(decl_59, type, nonemptyE1: $o).
% 0.71/0.42 thf(decl_60, type, nonemptyI: $o).
% 0.71/0.42 thf(decl_61, type, nonemptyI1: $o).
% 0.71/0.42 thf(decl_62, type, setadjoinIL: $o).
% 0.71/0.42 thf(decl_63, type, emptyinunitempty: $o).
% 0.71/0.42 thf(decl_64, type, setadjoinIR: $o).
% 0.71/0.42 thf(decl_65, type, setadjoinE: $o).
% 0.71/0.42 thf(decl_66, type, setadjoinOr: $o).
% 0.71/0.42 thf(decl_67, type, setoftrueEq: $o).
% 0.71/0.42 thf(decl_68, type, powersetI: $o).
% 0.71/0.42 thf(decl_69, type, emptyinPowerset: $o).
% 0.71/0.42 thf(decl_70, type, emptyInPowerset: $o).
% 0.71/0.42 thf(decl_71, type, powersetE: $o).
% 0.71/0.42 thf(decl_72, type, setunionI: $o).
% 0.71/0.42 thf(decl_73, type, setunionE: $o).
% 0.71/0.42 thf(decl_74, type, subPowSU: $o).
% 0.71/0.42 thf(decl_75, type, exuE2: $o).
% 0.71/0.42 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.71/0.42 thf(decl_77, type, uniqinunit: $o).
% 0.71/0.42 thf(decl_78, type, notinsingleton: $o).
% 0.71/0.42 thf(decl_79, type, eqinunit: $o).
% 0.71/0.42 thf(decl_80, type, singletonsswitch: $o).
% 0.71/0.42 thf(decl_81, type, upairsetE: $o).
% 0.71/0.42 thf(decl_82, type, upairsetIL: $o).
% 0.71/0.42 thf(decl_83, type, upairsetIR: $o).
% 0.71/0.42 thf(decl_84, type, emptyE1: $o).
% 0.71/0.42 thf(decl_85, type, vacuousDall: $o).
% 0.71/0.42 thf(decl_86, type, quantDeMorgan1: $o).
% 0.71/0.42 thf(decl_87, type, quantDeMorgan2: $o).
% 0.71/0.42 thf(decl_88, type, quantDeMorgan3: $o).
% 0.71/0.42 thf(decl_89, type, quantDeMorgan4: $o).
% 0.71/0.42 thf(decl_90, type, prop2setI: $o).
% 0.71/0.42 thf(decl_91, type, set2prop: $i > $o).
% 0.71/0.42 thf(decl_92, type, prop2set2propI: $o).
% 0.71/0.42 thf(decl_93, type, notdexE: $o).
% 0.71/0.42 thf(decl_94, type, notdallE: $o).
% 0.71/0.42 thf(decl_95, type, exuI1: $o).
% 0.71/0.42 thf(decl_96, type, exuI3: $o).
% 0.71/0.42 thf(decl_97, type, exuI2: $o).
% 0.71/0.42 thf(decl_98, type, inCongP: $o).
% 0.71/0.42 thf(decl_99, type, in__Cong: $o).
% 0.71/0.42 thf(decl_100, type, exuE3u: $o).
% 0.71/0.42 thf(decl_101, type, exu__Cong: $o).
% 0.71/0.42 thf(decl_102, type, emptyset__Cong: $o).
% 0.71/0.42 thf(decl_103, type, setadjoin__Cong: $o).
% 0.71/0.42 thf(decl_104, type, powerset__Cong: $o).
% 0.71/0.42 thf(decl_105, type, setunion__Cong: $o).
% 0.71/0.42 thf(decl_106, type, omega__Cong: $o).
% 0.71/0.42 thf(decl_107, type, exuEu: $o).
% 0.71/0.42 thf(decl_108, type, descr__Cong: $o).
% 0.71/0.42 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.71/0.42 thf(decl_110, type, subset: $i > $i > $o).
% 0.71/0.42 thf(decl_113, type, subsetI1: $o).
% 0.71/0.42 thf(decl_114, type, eqimpsubset2: $o).
% 0.71/0.42 thf(decl_115, type, eqimpsubset1: $o).
% 0.71/0.42 thf(decl_116, type, subsetI2: $o).
% 0.71/0.42 thf(decl_117, type, emptysetsubset: $o).
% 0.71/0.42 thf(decl_118, type, subsetE: $o).
% 0.71/0.42 thf(decl_119, type, subsetE2: $o).
% 0.71/0.42 thf(decl_120, type, notsubsetI: $o).
% 0.71/0.42 thf(decl_121, type, notequalI1: $o).
% 0.71/0.42 thf(decl_122, type, notequalI2: $o).
% 0.71/0.42 thf(decl_123, type, subsetRefl: $o).
% 0.71/0.42 thf(decl_124, type, subsetTrans: $o).
% 0.71/0.42 thf(decl_125, type, setadjoinSub: $o).
% 0.71/0.42 thf(decl_126, type, setadjoinSub2: $o).
% 0.71/0.42 thf(decl_127, type, subset2powerset: $o).
% 0.71/0.42 thf(decl_128, type, setextsub: $o).
% 0.71/0.42 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.71/0.42 thf(decl_130, type, powersetI1: $o).
% 0.71/0.42 thf(decl_131, type, powersetE1: $o).
% 0.71/0.42 thf(decl_132, type, inPowerset: $o).
% 0.71/0.42 thf(decl_133, type, powersetsubset: $o).
% 0.71/0.42 thf(decl_134, type, sepInPowerset: $o).
% 0.71/0.42 thf(decl_135, type, sepSubset: $o).
% 0.71/0.42 thf(decl_136, type, binunion: $i > $i > $i).
% 0.71/0.42 thf(decl_137, type, binunionIL: $o).
% 0.71/0.42 thf(decl_138, type, upairset2IR: $o).
% 0.71/0.42 thf(decl_139, type, binunionIR: $o).
% 0.71/0.42 thf(decl_140, type, binunionEcases: $o).
% 0.71/0.42 thf(decl_141, type, binunionE: $o).
% 0.71/0.42 thf(decl_142, type, binunionLsub: $o).
% 0.71/0.42 thf(decl_143, type, binunionRsub: $o).
% 0.71/0.42 thf(decl_144, type, binintersect: $i > $i > $i).
% 0.71/0.42 thf(decl_145, type, binintersectI: $o).
% 0.71/0.42 thf(decl_146, type, binintersectSubset5: $o).
% 0.71/0.42 thf(decl_147, type, binintersectEL: $o).
% 0.71/0.42 thf(decl_148, type, binintersectLsub: $o).
% 0.71/0.42 thf(decl_149, type, binintersectSubset2: $o).
% 0.71/0.42 thf(decl_150, type, binintersectSubset3: $o).
% 0.71/0.42 thf(decl_151, type, binintersectER: $o).
% 0.71/0.42 thf(decl_152, type, disjointsetsI1: $o).
% 0.71/0.42 thf(decl_153, type, binintersectRsub: $o).
% 0.71/0.42 thf(decl_154, type, binintersectSubset4: $o).
% 0.71/0.42 thf(decl_155, type, binintersectSubset1: $o).
% 0.71/0.42 thf(decl_156, type, bs114d: $o).
% 0.71/0.42 thf(decl_158, type, setminus: $i > $i > $i).
% 0.71/0.42 thf(decl_159, type, setminusI: $o).
% 0.71/0.42 thf(decl_160, type, setminusEL: $o).
% 0.71/0.42 thf(decl_161, type, setminusER: $o).
% 0.71/0.42 thf(decl_162, type, setminusSubset2: $o).
% 0.71/0.42 thf(decl_163, type, setminusERneg: $o).
% 0.71/0.42 thf(decl_164, type, setminusELneg: $o).
% 0.71/0.42 thf(decl_165, type, setminusILneg: $o).
% 0.71/0.42 thf(decl_166, type, setminusIRneg: $o).
% 0.71/0.42 thf(decl_167, type, setminusLsub: $o).
% 0.71/0.42 thf(decl_168, type, setminusSubset1: $o).
% 0.71/0.42 thf(decl_169, type, symdiff: $i > $i > $i).
% 0.71/0.42 thf(decl_170, type, symdiffE: $o).
% 0.71/0.42 thf(decl_171, type, symdiffI1: $o).
% 0.71/0.42 thf(decl_172, type, symdiffI2: $o).
% 0.71/0.42 thf(decl_173, type, symdiffIneg1: $o).
% 0.71/0.42 thf(decl_174, type, symdiffIneg2: $o).
% 0.71/0.42 thf(decl_175, type, iskpair: $i > $o).
% 0.71/0.42 thf(decl_176, type, secondinupair: $o).
% 0.71/0.42 thf(decl_177, type, setukpairIL: $o).
% 0.71/0.42 thf(decl_178, type, setukpairIR: $o).
% 0.71/0.42 thf(decl_179, type, kpairiskpair: $o).
% 0.71/0.42 thf(decl_180, type, kpair: $i > $i > $i).
% 0.71/0.42 thf(decl_181, type, kpairp: $o).
% 0.71/0.42 thf(decl_183, type, singletonsubset: $o).
% 0.71/0.42 thf(decl_184, type, singletoninpowerset: $o).
% 0.71/0.42 thf(decl_185, type, singletoninpowunion: $o).
% 0.71/0.42 thf(decl_186, type, epred1_0: $o).
% 0.71/0.42 thf(decl_187, type, esk1_2: $i > $i > $i).
% 0.71/0.42 thf(decl_188, type, esk2_2: $i > $i > $i).
% 0.71/0.42 thf(decl_189, type, esk3_2: $i > $i > $i).
% 0.71/0.42 thf(decl_190, type, esk4_1: $i > $i).
% 0.71/0.42 thf(decl_191, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.71/0.42 thf(decl_192, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.71/0.42 thf(decl_193, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.71/0.42 thf(decl_194, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.71/0.42 thf(decl_195, type, esk9_1: $i > $i).
% 0.71/0.42 thf(decl_196, type, esk10_2: ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_197, type, esk11_2: ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_198, type, esk12_1: ($i > $o) > $i).
% 0.71/0.42 thf(decl_199, type, esk13_2: ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_200, type, esk14_1: ($i > $o) > $i).
% 0.71/0.42 thf(decl_201, type, esk15_2: $i > $i > $i).
% 0.71/0.42 thf(decl_202, type, esk16_2: $i > $i > $i).
% 0.71/0.42 thf(decl_203, type, esk17_1: $i > $i).
% 0.71/0.42 thf(decl_204, type, esk18_1: $i > $i).
% 0.71/0.42 thf(decl_205, type, esk19_1: $i > $i).
% 0.71/0.42 thf(decl_206, type, esk20_2: $i > $i > $i).
% 0.71/0.42 thf(decl_207, type, esk21_3: $i > $i > $o > $i).
% 0.71/0.42 thf(decl_208, type, esk22_2: ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_209, type, esk23_1: ($i > $o) > $i).
% 0.71/0.42 thf(decl_210, type, esk24_1: $i > $i).
% 0.71/0.42 thf(decl_211, type, esk25_2: $i > ($i > $o) > $i).
% 0.71/0.42 thf(decl_212, type, esk26_2: $i > ($i > $o) > $i).
% 0.71/0.42 thf(decl_213, type, esk27_2: $i > ($i > $o) > $i).
% 0.71/0.42 thf(decl_214, type, esk28_2: $i > ($i > $o) > $i).
% 0.71/0.42 thf(decl_215, type, esk29_2: $i > ($i > $o) > $i).
% 0.71/0.42 thf(decl_216, type, esk30_2: $i > ($i > $o) > $i).
% 0.71/0.42 thf(decl_217, type, esk31_2: ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_218, type, esk32_1: ($i > $o) > $i).
% 0.71/0.42 thf(decl_219, type, esk33_1: ($i > $o) > $i).
% 0.71/0.42 thf(decl_220, type, esk34_1: ($i > $o) > $i).
% 0.71/0.42 thf(decl_221, type, esk35_1: ($i > $o) > $i).
% 0.71/0.42 thf(decl_222, type, esk36_2: ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_223, type, esk37_1: ($i > $o) > $i).
% 0.71/0.42 thf(decl_224, type, esk38_2: ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_225, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.71/0.42 thf(decl_226, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.71/0.42 thf(decl_227, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_228, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.71/0.42 thf(decl_229, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_230, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.71/0.42 thf(decl_231, type, esk45_2: ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_232, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.71/0.42 thf(decl_233, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.71/0.42 thf(decl_234, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_235, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.71/0.42 thf(decl_236, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.71/0.42 thf(decl_237, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.71/0.42 thf(decl_238, type, esk52_2: $i > $i > $i).
% 0.71/0.42 thf(decl_239, type, esk53_2: $i > $i > $i).
% 0.71/0.42 thf(decl_240, type, esk54_2: $i > $i > $i).
% 0.71/0.42 thf(decl_241, type, esk55_2: $i > $i > $i).
% 0.71/0.42 thf(decl_242, type, esk56_2: $i > $i > $i).
% 0.71/0.42 thf(decl_243, type, esk57_2: $i > $i > $i).
% 0.71/0.42 thf(decl_244, type, esk58_2: $i > $i > $i).
% 0.71/0.42 thf(decl_245, type, esk59_0: $i).
% 0.71/0.42 thf(decl_246, type, esk60_0: $i).
% 0.71/0.42 thf(decl_247, type, esk61_0: $i).
% 0.71/0.42 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', replAx)).
% 0.71/0.42 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', exu)).
% 0.71/0.42 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', descrp)).
% 0.71/0.42 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', exuE1)).
% 0.71/0.42 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', exuE3e)).
% 0.71/0.42 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', nonempty)).
% 0.71/0.42 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', nonemptyI)).
% 0.71/0.42 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', exuE2)).
% 0.71/0.42 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', exuI1)).
% 0.71/0.42 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', exuI3)).
% 0.71/0.42 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', exuI2)).
% 0.71/0.42 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', exuE3u)).
% 0.71/0.42 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', exu__Cong)).
% 0.71/0.42 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', exuEu)).
% 0.71/0.42 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', descr__Cong)).
% 0.71/0.42 thf(iskpair, axiom, ((iskpair)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ X4)))&(?[X3:$i]:((((in @ X3 @ (setunion @ X4)))&(((X4)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', iskpair)).
% 0.71/0.42 thf(upairset2E, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', upairset2E)).
% 0.71/0.42 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', dsetconstrI)).
% 0.71/0.42 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', dsetconstrEL)).
% 0.71/0.42 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', dsetconstrER)).
% 0.71/0.42 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setbeta)).
% 0.71/0.42 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', nonemptyE1)).
% 0.71/0.42 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', nonemptyI1)).
% 0.71/0.42 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setoftrueEq)).
% 0.71/0.42 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', nonemptyImpWitness)).
% 0.71/0.42 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', emptyE1)).
% 0.71/0.42 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', dsetconstr__Cong)).
% 0.71/0.42 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', sepInPowerset)).
% 0.71/0.42 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', sepSubset)).
% 0.71/0.42 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', kpairiskpair)).
% 0.71/0.42 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', kpairp)).
% 0.71/0.42 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setextAx)).
% 0.71/0.42 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', emptysetAx)).
% 0.71/0.42 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setadjoinAx)).
% 0.71/0.42 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', powersetAx)).
% 0.71/0.42 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setunionAx)).
% 0.71/0.42 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', omega0Ax)).
% 0.71/0.42 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', omegaSAx)).
% 0.71/0.42 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', omegaIndAx)).
% 0.71/0.42 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', foundationAx)).
% 0.71/0.42 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', wellorderingAx)).
% 0.71/0.42 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', prop2setE)).
% 0.71/0.42 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', emptysetE)).
% 0.71/0.42 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', emptysetimpfalse)).
% 0.71/0.42 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', notinemptyset)).
% 0.71/0.42 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setext)).
% 0.71/0.42 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', emptyI)).
% 0.71/0.42 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', noeltsimpempty)).
% 0.71/0.42 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setadjoinIL)).
% 0.71/0.42 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', emptyinunitempty)).
% 0.71/0.42 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setadjoinIR)).
% 0.71/0.42 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setadjoinE)).
% 0.71/0.42 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setadjoinOr)).
% 0.71/0.42 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', powersetI)).
% 0.71/0.42 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', emptyinPowerset)).
% 0.71/0.42 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', emptyInPowerset)).
% 0.71/0.42 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', powersetE)).
% 0.71/0.42 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setunionI)).
% 0.71/0.42 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setunionE)).
% 0.71/0.42 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', subPowSU)).
% 0.71/0.42 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', uniqinunit)).
% 0.71/0.42 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', notinsingleton)).
% 0.71/0.42 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', eqinunit)).
% 0.71/0.42 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', singletonsswitch)).
% 0.71/0.42 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', upairsetE)).
% 0.71/0.42 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', upairsetIL)).
% 0.71/0.42 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', upairsetIR)).
% 0.71/0.42 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', vacuousDall)).
% 0.71/0.42 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', quantDeMorgan1)).
% 0.71/0.42 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', quantDeMorgan2)).
% 0.71/0.42 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', quantDeMorgan3)).
% 0.71/0.42 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', quantDeMorgan4)).
% 0.71/0.42 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', prop2setI)).
% 0.71/0.42 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', prop2set2propI)).
% 0.71/0.42 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', notdexE)).
% 0.71/0.42 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', notdallE)).
% 0.71/0.42 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', inCongP)).
% 0.71/0.42 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', in__Cong)).
% 0.71/0.42 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', emptyset__Cong)).
% 0.71/0.42 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setadjoin__Cong)).
% 0.71/0.42 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', powerset__Cong)).
% 0.71/0.42 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setunion__Cong)).
% 0.71/0.42 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', omega__Cong)).
% 0.71/0.42 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', subsetI1)).
% 0.71/0.42 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', eqimpsubset2)).
% 0.71/0.42 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', eqimpsubset1)).
% 0.71/0.42 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', subsetI2)).
% 0.71/0.42 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', emptysetsubset)).
% 0.71/0.42 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', subsetE)).
% 0.71/0.42 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', subsetE2)).
% 0.71/0.42 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', notsubsetI)).
% 0.71/0.42 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', notequalI1)).
% 0.71/0.42 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', notequalI2)).
% 0.71/0.42 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', subsetRefl)).
% 0.71/0.42 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', subsetTrans)).
% 0.71/0.42 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setadjoinSub)).
% 0.71/0.42 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setadjoinSub2)).
% 0.71/0.42 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', subset2powerset)).
% 0.71/0.42 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setextsub)).
% 0.71/0.42 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', subsetemptysetimpeq)).
% 0.71/0.42 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', powersetI1)).
% 0.71/0.42 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', powersetE1)).
% 0.71/0.42 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', inPowerset)).
% 0.71/0.42 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', powersetsubset)).
% 0.71/0.42 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binunionIL)).
% 0.71/0.42 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', upairset2IR)).
% 0.71/0.42 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binunionIR)).
% 0.71/0.42 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binunionEcases)).
% 0.71/0.42 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binunionE)).
% 0.71/0.42 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binunionLsub)).
% 0.71/0.42 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binunionRsub)).
% 0.71/0.42 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binintersectI)).
% 0.71/0.42 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binintersectSubset5)).
% 0.71/0.42 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binintersectEL)).
% 0.71/0.42 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binintersectLsub)).
% 0.71/0.42 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binintersectSubset2)).
% 0.71/0.42 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binintersectSubset3)).
% 0.71/0.42 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binintersectER)).
% 0.71/0.42 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', disjointsetsI1)).
% 0.71/0.42 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binintersectRsub)).
% 0.71/0.42 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binintersectSubset4)).
% 0.71/0.42 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', binintersectSubset1)).
% 0.71/0.42 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', bs114d)).
% 0.71/0.42 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setminusI)).
% 0.71/0.42 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setminusEL)).
% 0.71/0.42 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setminusER)).
% 0.71/0.42 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setminusSubset2)).
% 0.71/0.42 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setminusERneg)).
% 0.71/0.42 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setminusELneg)).
% 0.71/0.42 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setminusILneg)).
% 0.71/0.42 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setminusIRneg)).
% 0.71/0.42 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setminusLsub)).
% 0.71/0.42 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setminusSubset1)).
% 0.71/0.42 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', symdiffE)).
% 0.71/0.42 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', symdiffI1)).
% 0.71/0.42 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', symdiffI2)).
% 0.71/0.42 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', symdiffIneg1)).
% 0.71/0.42 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', symdiffIneg2)).
% 0.71/0.42 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', secondinupair)).
% 0.71/0.42 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setukpairIL)).
% 0.71/0.42 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', setukpairIR)).
% 0.71/0.42 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', singletonsubset)).
% 0.71/0.42 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', singletoninpowerset)).
% 0.71/0.42 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.k1KWNWP3iB/E---3.1_3408910.p', singletoninpowunion)).
% 0.71/0.42 thf(c_0_144, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.71/0.42 thf(c_0_145, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.71/0.42 thf(c_0_146, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.71/0.42 thf(c_0_147, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.71/0.42 thf(c_0_148, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.71/0.42 thf(c_0_149, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.71/0.42 thf(c_0_150, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.71/0.42 thf(c_0_151, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.71/0.42 thf(c_0_152, 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])).
% 0.71/0.42 thf(c_0_153, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.71/0.42 thf(c_0_154, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.71/0.42 thf(c_0_155, 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])).
% 0.71/0.42 thf(c_0_156, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.71/0.42 thf(c_0_157, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.71/0.42 thf(c_0_158, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.71/0.42 thf(c_0_159, plain, ((iskpair)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ Z0)))&(?[X3:$i]:((((in @ X3 @ (setunion @ Z0)))&(((Z0)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), inference(fof_simplification,[status(thm)],[iskpair])).
% 0.71/0.42 thf(c_0_160, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[upairset2E])).
% 0.71/0.42 thf(c_0_161, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X395:$i]:(((((X6 @ X2 @ X395)))&(![X396:$i]:(((((X6 @ X2 @ X396)))=>(((X395)=(X396)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_144, c_0_145])).
% 0.71/0.42 thf(c_0_162, plain, ((descrp)=(![X1:$i > $o]:((((?[X397:$i]:(((((X1 @ X397)))&(![X398:$i]:(((((X1 @ X398)))=>(((X397)=(X398))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_146, c_0_145])).
% 0.71/0.42 thf(c_0_163, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.71/0.42 thf(c_0_164, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.71/0.42 thf(c_0_165, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.71/0.42 thf(c_0_166, plain, ((exuE1)=(![X1:$i > $o]:((((?[X399:$i]:(((((X1 @ X399)))&(![X400:$i]:(((((X1 @ X400)))=>(((X399)=(X400))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_147, c_0_145])).
% 0.71/0.42 thf(c_0_167, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X401:$i]:(((((X1 @ X401)))&(![X402:$i]:(((((X1 @ X402)))=>(((X401)=(X402))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_148, c_0_145])).
% 0.71/0.42 thf(c_0_168, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.71/0.42 thf(c_0_169, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_149])).
% 0.71/0.42 thf(c_0_170, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_150, c_0_149])).
% 0.71/0.42 thf(c_0_171, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_149])).
% 0.71/0.42 thf(c_0_172, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.71/0.42 thf(c_0_173, plain, ((exuE2)=(![X1:$i > $o]:((((?[X403:$i]:(((((X1 @ X403)))&(![X404:$i]:(((((X1 @ X404)))=>(((X403)=(X404))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_151, c_0_145])).
% 0.71/0.42 thf(c_0_174, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_149])).
% 0.71/0.42 thf(c_0_175, 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])).
% 0.71/0.42 thf(c_0_176, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X405:$i]:(((((X1 @ X405)))&(![X406:$i]:(((((X1 @ X406)))=>(((X405)=(X406)))))))))))))), inference(apply_def,[status(thm)],[c_0_152, c_0_145])).
% 0.71/0.42 thf(c_0_177, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X407:$i]:(((((X1 @ X407)))&(![X408:$i]:(((((X1 @ X408)))=>(((X407)=(X408)))))))))))))))), inference(apply_def,[status(thm)],[c_0_153, c_0_145])).
% 0.71/0.42 thf(c_0_178, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X409:$i]:(((((X1 @ X409)))&(![X410:$i]:(((((X1 @ X410)))=>(((X409)=(X410)))))))))))))), inference(apply_def,[status(thm)],[c_0_154, c_0_145])).
% 0.71/0.42 thf(c_0_179, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X411:$i]:(((((X1 @ X411)))&(![X412:$i]:(((((X1 @ X412)))=>(((X411)=(X412))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_155, c_0_145])).
% 0.71/0.42 thf(c_0_180, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X413:$i]:(((((X1 @ X413)))&(![X414:$i]:(((((X1 @ X414)))=>(((X413)=(X414))))))))))<=>((?[X415:$i]:(((((X17 @ X415)))&(![X416:$i]:(((((X17 @ X416)))=>(((X415)=(X416)))))))))))))))), inference(apply_def,[status(thm)],[c_0_156, c_0_145])).
% 0.71/0.42 thf(c_0_181, plain, ((exuEu)=(![X1:$i > $o]:((((?[X417:$i]:(((((X1 @ X417)))&(![X418:$i]:(((((X1 @ X418)))=>(((X417)=(X418))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_157, c_0_145])).
% 0.71/0.42 thf(c_0_182, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X419:$i]:(((((X1 @ X419)))&(![X420:$i]:(((((X1 @ X420)))=>(((X419)=(X420))))))))))=>((((?[X421:$i]:(((((X17 @ X421)))&(![X422:$i]:(((((X17 @ X422)))=>(((X421)=(X422))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_158, c_0_145])).
% 0.71/0.42 thf(c_0_183, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.71/0.42 thf(c_0_184, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.71/0.42 thf(c_0_185, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.71/0.42 thf(c_0_186, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X423:$i]:((((in @ X423 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(?[X424:$i]:((((in @ X424 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X423 @ emptyset) @ (setadjoin @ (setadjoin @ X423 @ (setadjoin @ X424 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_159])).
% 0.71/0.42 thf(c_0_187, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X425:$i]:((((in @ X425 @ (setunion @ (kpair @ X2 @ X3))))&(?[X426:$i]:((((in @ X426 @ (setunion @ (kpair @ X2 @ X3))))&(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X425 @ emptyset) @ (setadjoin @ (setadjoin @ X425 @ (setadjoin @ X426 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairp, c_0_159])).
% 0.71/0.42 thf(c_0_188, plain, ((epred1_0)<=>![X456:$i]:(?[X457:$i]:((((![X458:$i]:(((in @ X458 @ X457)=>![X459:$i]:(((in @ X459 @ X458)=>(in @ X459 @ X456)))))&![X460:$i, X461:$i]:((((in @ X460 @ X456)&(in @ X461 @ X456))=>(![X462:$i]:(((in @ X462 @ X457)=>((in @ X460 @ X462)<=>(in @ X461 @ X462))))=>((X460)=(X461))))))&![X463:$i, X464:$i]:((((in @ X463 @ X457)&(in @ X464 @ X457))=>(![X465:$i]:(((in @ X465 @ X463)=>(in @ X465 @ X464)))|![X466:$i]:(((in @ X466 @ X464)=>(in @ X466 @ X463)))))))&![X467:$i]:(((![X468:$i]:(((in @ X468 @ X467)=>(in @ X468 @ X456)))&?[X469:$i]:((in @ X469 @ X467)))=>?[X470:$i, X471:$i]:(((((in @ X470 @ X457)&(in @ X471 @ X467))&~(?[X472:$i]:(((in @ X472 @ X470)&(in @ X472 @ X467)))))&![X473:$i]:(((in @ X473 @ X457)=>(![X474:$i]:(((in @ X474 @ X473)=>(in @ X474 @ X470)))|(in @ X471 @ X473)))))))))))), introduced(definition)).
% 0.71/0.42 thf(c_0_189, negated_conjecture, ~((![X427:$i, X428:$i]:((![X429:$i]:(((in @ X429 @ X427)<=>(in @ X429 @ X428)))=>((X427)=(X428))))=>(![X430:$i]:(~(in @ X430 @ emptyset))=>(![X431:$i, X432:$i, X433:$i]:(((in @ X433 @ (setadjoin @ X431 @ X432))<=>(((X433)=(X431))|(in @ X433 @ X432))))=>(![X434:$i, X435:$i]:(((in @ X435 @ (powerset @ X434))<=>![X436:$i]:(((in @ X436 @ X435)=>(in @ X436 @ X434)))))=>(![X437:$i, X438:$i]:(((in @ X438 @ (setunion @ X437))<=>?[X439:$i]:(((in @ X438 @ X439)&(in @ X439 @ X437)))))=>((in @ emptyset @ omega)=>(![X440:$i]:(((in @ X440 @ omega)=>(in @ (setadjoin @ X440 @ X440) @ omega)))=>(![X441:$i]:((((in @ emptyset @ X441)&![X442:$i]:((((in @ X442 @ omega)&(in @ X442 @ X441))=>(in @ (setadjoin @ X442 @ X442) @ X441))))=>![X443:$i]:(((in @ X443 @ omega)=>(in @ X443 @ X441)))))=>(![X444:$i > $i > $o, X445:$i]:((![X446:$i]:(((in @ X446 @ X445)=>?[X447:$i]:(((X444 @ X446 @ X447)&![X448:$i]:(((X444 @ X446 @ X448)=>((X447)=(X448))))))))=>?[X449:$i]:(![X450:$i]:(((in @ X450 @ X449)<=>?[X451:$i]:(((in @ X451 @ X445)&(X444 @ X451 @ X450))))))))=>(![X452:$i]:((?[X453:$i]:((in @ X453 @ X452))=>?[X454:$i]:(((in @ X454 @ X452)&~(?[X455:$i]:(((in @ X455 @ X454)&(in @ X455 @ X452))))))))=>((epred1_0)=>(![X475:$i > $o]:((?[X476:$i]:(((X475 @ X476)&![X477:$i]:(((X475 @ X477)=>((X476)=(X477))))))=>(X475 @ (descr @ (^[Z0:$i]:(X475 @ Z0))))))=>(![X478:$i, X479:$i > $o, X480:$i]:(((in @ X480 @ X478)=>((X479 @ X480)=>(in @ X480 @ (dsetconstr @ X478 @ X479)))))=>(![X481:$i, X482:$i > $o, X483:$i]:(((in @ X483 @ (dsetconstr @ X481 @ X482))=>(in @ X483 @ X481)))=>(![X484:$i, X485:$i > $o, X486:$i]:(((in @ X486 @ (dsetconstr @ X484 @ X485))=>(X485 @ X486)))=>(![X487:$i > $o]:((?[X488:$i]:(((X487 @ X488)&![X489:$i]:(((X487 @ X489)=>((X488)=(X489))))))=>?[X490:$i]:(((X487 @ X490)&![X491:$i]:(((X487 @ X491)=>((X490)=(X491))))))))=>(![X492:$o, X493:$i]:(((in @ X493 @ (prop2set @ ((X492))))=>(X492)))=>(![X494:$i]:(((in @ X494 @ emptyset)=>![X495:$o]:((X495))))=>(![X496:$i]:(((in @ X496 @ emptyset)=>~($true)))=>(![X497:$i]:(~(in @ X497 @ emptyset))=>(![X498:$i > $o]:((?[X499:$i]:(((X498 @ X499)&![X500:$i]:(((X498 @ X500)=>((X499)=(X500))))))=>?[X501:$i]:((X498 @ X501))))=>(![X502:$i, X503:$i]:((![X504:$i]:(((in @ X504 @ X502)=>(in @ X504 @ X503)))=>(![X505:$i]:(((in @ X505 @ X503)=>(in @ X505 @ X502)))=>((X502)=(X503)))))=>(![X506:$i]:((![X507:$i]:(~(in @ X507 @ X506))=>((X506)=(emptyset))))=>(![X508:$i]:((![X509:$i]:(~(in @ X509 @ X508))=>((X508)=(emptyset))))=>(![X510:$i, X511:$i > $o, X512:$i]:(((in @ X512 @ X510)=>((in @ X512 @ (dsetconstr @ X510 @ X511))<=>(X511 @ X512))))=>(![X513:$i]:((((X513)!=(emptyset))=>?[X514:$i]:((in @ X514 @ X513))))=>(![X515:$i, X516:$i > $o, X517:$i]:(((in @ X517 @ X515)=>((X516 @ X517)=>((dsetconstr @ X515 @ X516)!=(emptyset)))))=>(![X518:$i]:((?[X519:$i]:((in @ X519 @ X518))=>((X518)!=(emptyset))))=>(![X520:$i, X521:$i]:((in @ X520 @ (setadjoin @ X520 @ X521)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X522:$i, X523:$i, X524:$i]:(((in @ X524 @ X523)=>(in @ X524 @ (setadjoin @ X522 @ X523))))=>(![X525:$i, X526:$i, X527:$i]:(((in @ X527 @ (setadjoin @ X525 @ X526))=>![X528:$o]:(((((X527)=(X525))=>(X528))=>(((in @ X527 @ X526)=>(X528))=>(X528))))))=>(![X529:$i, X530:$i, X531:$i]:(((in @ X531 @ (setadjoin @ X529 @ X530))=>(((X531)=(X529))|(in @ X531 @ X530))))=>(![X532:$i]:(((dsetconstr @ X532 @ (^[Z0:$i]:($true)))=(X532)))=>(![X533:$i, X534:$i]:((![X535:$i]:(((in @ X535 @ X534)=>(in @ X535 @ X533)))=>(in @ X534 @ (powerset @ X533))))=>(![X536:$i]:((in @ emptyset @ (powerset @ X536)))=>(![X537:$i]:((in @ emptyset @ (powerset @ X537)))=>(![X538:$i, X539:$i, X540:$i]:(((in @ X539 @ (powerset @ X538))=>((in @ X540 @ X539)=>(in @ X540 @ X538))))=>(![X541:$i, X542:$i, X543:$i]:(((in @ X542 @ X543)=>((in @ X543 @ X541)=>(in @ X542 @ (setunion @ X541)))))=>(![X544:$i, X545:$i]:(((in @ X545 @ (setunion @ X544))=>![X546:$o]:((![X547:$i]:(((in @ X545 @ X547)=>((in @ X547 @ X544)=>(X546))))=>(X546)))))=>(![X548:$i, X549:$i]:(((in @ X549 @ X548)=>(in @ X549 @ (powerset @ (setunion @ X548)))))=>(![X550:$i > $o]:((?[X551:$i]:(((X550 @ X551)&![X552:$i]:(((X550 @ X552)=>((X551)=(X552))))))=>?[X553:$i]:(![X554:$i]:(((X550 @ X554)<=>((X554)=(X553)))))))=>(![X555:$i]:((((X555)!=(emptyset))=>?[X556:$i]:(((in @ X556 @ X555)&$true))))=>(![X557:$i, X558:$i]:(((in @ X557 @ (setadjoin @ X558 @ emptyset))=>((X557)=(X558))))=>(![X559:$i, X560:$i]:((((X559)!=(X560))=>~(in @ X560 @ (setadjoin @ X559 @ emptyset))))=>(![X561:$i, X562:$i]:((((X561)=(X562))=>(in @ X561 @ (setadjoin @ X562 @ emptyset))))=>(![X563:$i, X564:$i]:(((in @ X563 @ (setadjoin @ X564 @ emptyset))=>(in @ X564 @ (setadjoin @ X563 @ emptyset))))=>(![X565:$i, X566:$i, X567:$i]:(((in @ X567 @ (setadjoin @ X565 @ (setadjoin @ X566 @ emptyset)))=>(((X567)=(X565))|((X567)=(X566)))))=>(![X568:$i, X569:$i]:((in @ X568 @ (setadjoin @ X568 @ (setadjoin @ X569 @ emptyset))))=>(![X570:$i, X571:$i]:((in @ X571 @ (setadjoin @ X570 @ (setadjoin @ X571 @ emptyset))))=>(![X572:$i, X573:$i > $o]:((?[X574:$i]:(((in @ X574 @ X572)&(X573 @ X574)))=>(((dsetconstr @ X572 @ X573)=(emptyset))=>~($true))))=>(![X575:$i > $o, X576:$i]:(((in @ X576 @ emptyset)=>(X575 @ X576)))=>(![X577:$i, X578:$i > $o]:((~(![X579:$i]:(((in @ X579 @ X577)=>(X578 @ X579))))=>?[X580:$i]:(((in @ X580 @ X577)&~((X578 @ X580))))))=>(![X581:$i, X582:$i > $o]:((![X583:$i]:(((in @ X583 @ X581)=>~((X582 @ X583))))=>~(?[X584:$i]:(((in @ X584 @ X581)&(X582 @ X584))))))=>(![X585:$i, X586:$i > $o]:((~(?[X587:$i]:(((in @ X587 @ X585)&(X586 @ X587))))=>![X588:$i]:(((in @ X588 @ X585)=>~((X586 @ X588))))))=>(![X589:$i, X590:$i > $o]:((?[X591:$i]:(((in @ X591 @ X589)&~((X590 @ X591))))=>~(![X592:$i]:(((in @ X592 @ X589)=>(X590 @ X592))))))=>(![X593:$o]:(((X593)=>(in @ emptyset @ (prop2set @ ((X593))))))=>(![X594:$o]:(((X594)=>(set2prop @ (prop2set @ ((X594))))))=>(![X595:$i, X596:$i > $o]:((~(?[X597:$i]:(((in @ X597 @ X595)&(X596 @ X597))))=>![X598:$i]:(((in @ X598 @ X595)=>~((X596 @ X598))))))=>(![X599:$i, X600:$i > $o]:((~(![X601:$i]:(((in @ X601 @ X599)=>(X600 @ X601))))=>?[X602:$i]:(((in @ X602 @ X599)&~((X600 @ X602))))))=>(![X603:$i > $o]:((?[X604:$i]:(((X603 @ X604)&![X605:$i]:(((X603 @ X605)=>((X604)=(X605))))))=>?[X606:$i]:(((X603 @ X606)&![X607:$i]:(((X603 @ X607)=>((X606)=(X607))))))))=>(![X608:$i > $o]:((?[X609:$i]:((X608 @ X609))=>(![X610:$i, X611:$i]:(((X608 @ X610)=>((X608 @ X611)=>((X610)=(X611)))))=>?[X612:$i]:(((X608 @ X612)&![X613:$i]:(((X608 @ X613)=>((X612)=(X613)))))))))=>(![X614:$i > $o]:((?[X615:$i]:(![X616:$i]:(((X614 @ X616)<=>((X616)=(X615)))))=>?[X617:$i]:(((X614 @ X617)&![X618:$i]:(((X614 @ X618)=>((X617)=(X618))))))))=>(![X619:$i, X620:$i]:((((X619)=(X620))=>![X621:$i, X622:$i]:((((X621)=(X622))=>((in @ X621 @ X619)=>(in @ X622 @ X620))))))=>(![X623:$i, X624:$i]:((((X623)=(X624))=>![X625:$i, X626:$i]:((((X625)=(X626))=>((in @ X625 @ X623)<=>(in @ X626 @ X624))))))=>(![X627:$i > $o]:((?[X628:$i]:(((X627 @ X628)&![X629:$i]:(((X627 @ X629)=>((X628)=(X629))))))=>![X630:$i, X631:$i]:(((X627 @ X630)=>((X627 @ X631)=>((X630)=(X631)))))))=>(![X632:$i > $o, X633:$i > $o]:((![X634:$i, X635:$i]:((((X634)=(X635))=>((X632 @ X634)<=>(X633 @ X635))))=>(?[X636:$i]:(((X632 @ X636)&![X637:$i]:(((X632 @ X637)=>((X636)=(X637))))))<=>?[X638:$i]:(((X633 @ X638)&![X639:$i]:(((X633 @ X639)=>((X638)=(X639)))))))))=>(((emptyset)=(emptyset))=>(![X640:$i, X641:$i]:((((X640)=(X641))=>![X642:$i, X643:$i]:((((X642)=(X643))=>((setadjoin @ X640 @ X642)=(setadjoin @ X641 @ X643))))))=>(![X644:$i, X645:$i]:((((X644)=(X645))=>((powerset @ X644)=(powerset @ X645))))=>(![X646:$i, X647:$i]:((((X646)=(X647))=>((setunion @ X646)=(setunion @ X647))))=>(((omega)=(omega))=>(![X648:$i > $o]:((?[X649:$i]:(((X648 @ X649)&![X650:$i]:(((X648 @ X650)=>((X649)=(X650))))))=>![X651:$i, X652:$i]:(((X648 @ X651)=>((X648 @ X652)=>((X651)=(X652)))))))=>(![X653:$i > $o, X654:$i > $o]:((![X655:$i, X656:$i]:((((X655)=(X656))=>((X653 @ X655)<=>(X654 @ X656))))=>(?[X657:$i]:(((X653 @ X657)&![X658:$i]:(((X653 @ X658)=>((X657)=(X658))))))=>(?[X659:$i]:(((X654 @ X659)&![X660:$i]:(((X654 @ X660)=>((X659)=(X660))))))=>((descr @ X653)=(descr @ X654))))))=>(![X661:$i, X662:$i]:((((X661)=(X662))=>![X663:$i > $o, X664:$i > $o]:((![X665:$i]:(((in @ X665 @ X661)=>![X666:$i]:(((in @ X666 @ X662)=>(((X665)=(X666))=>((X663 @ X665)<=>(X664 @ X666)))))))=>((dsetconstr @ X661 @ X663)=(dsetconstr @ X662 @ X664))))))=>(![X667:$i, X668:$i]:((![X669:$i]:(((in @ X669 @ X667)=>(in @ X669 @ X668)))=>(subset @ X667 @ X668)))=>(![X670:$i, X671:$i]:((((X670)=(X671))=>(subset @ X671 @ X670)))=>(![X672:$i, X673:$i]:((((X672)=(X673))=>(subset @ X672 @ X673)))=>(![X674:$i, X675:$i]:((![X676:$i]:(((in @ X676 @ X674)=>(in @ X676 @ X675)))=>(subset @ X674 @ X675)))=>(![X677:$i]:((subset @ emptyset @ X677))=>(![X678:$i, X679:$i, X680:$i]:(((subset @ X678 @ X679)=>((in @ X680 @ X678)=>(in @ X680 @ X679))))=>(![X681:$i, X682:$i, X683:$i]:(((subset @ X681 @ X682)=>(~(in @ X683 @ X682)=>~(in @ X683 @ X681))))=>(![X684:$i, X685:$i, X686:$i]:(((in @ X686 @ X684)=>(~(in @ X686 @ X685)=>~(subset @ X684 @ X685))))=>(![X687:$i, X688:$i]:((~(subset @ X687 @ X688)=>((X687)!=(X688))))=>(![X689:$i, X690:$i, X691:$i]:(((in @ X691 @ X689)=>(~(in @ X691 @ X690)=>((X689)!=(X690)))))=>(![X692:$i]:((subset @ X692 @ X692))=>(![X693:$i, X694:$i, X695:$i]:(((subset @ X693 @ X694)=>((subset @ X694 @ X695)=>(subset @ X693 @ X695))))=>(![X696:$i, X697:$i]:((subset @ X697 @ (setadjoin @ X696 @ X697)))=>(![X698:$i, X699:$i, X700:$i]:(((subset @ X698 @ X700)=>(subset @ X698 @ (setadjoin @ X699 @ X700))))=>(![X701:$i, X702:$i]:(((subset @ X701 @ X702)=>(in @ X701 @ (powerset @ X702))))=>(![X703:$i, X704:$i]:(((subset @ X703 @ X704)=>((subset @ X704 @ X703)=>((X703)=(X704)))))=>(![X705:$i]:(((subset @ X705 @ emptyset)=>((X705)=(emptyset))))=>(![X706:$i, X707:$i]:(((subset @ X707 @ X706)=>(in @ X707 @ (powerset @ X706))))=>(![X708:$i, X709:$i]:(((in @ X709 @ (powerset @ X708))=>(subset @ X709 @ X708)))=>(![X710:$i]:((in @ X710 @ (powerset @ X710)))=>(![X711:$i, X712:$i]:(((subset @ X711 @ X712)=>(subset @ (powerset @ X711) @ (powerset @ X712))))=>(![X713:$i, X714:$i > $o]:((in @ (dsetconstr @ X713 @ X714) @ (powerset @ X713)))=>(![X715:$i, X716:$i > $o]:((subset @ (dsetconstr @ X715 @ X716) @ X715))=>(![X717:$i, X718:$i, X719:$i]:(((in @ X719 @ X717)=>(in @ X719 @ (binunion @ X717 @ X718))))=>(![X720:$i, X721:$i]:((in @ X721 @ (setadjoin @ X720 @ (setadjoin @ X721 @ emptyset))))=>(![X722:$i, X723:$i, X724:$i]:(((in @ X724 @ X723)=>(in @ X724 @ (binunion @ X722 @ X723))))=>(![X725:$i, X726:$i, X727:$i, X728:$o]:(((in @ X727 @ (binunion @ X725 @ X726))=>(((in @ X727 @ X725)=>(X728))=>(((in @ X727 @ X726)=>(X728))=>(X728)))))=>(![X729:$i, X730:$i, X731:$i]:(((in @ X731 @ (binunion @ X729 @ X730))=>((in @ X731 @ X729)|(in @ X731 @ X730))))=>(![X732:$i, X733:$i]:((subset @ X732 @ (binunion @ X732 @ X733)))=>(![X734:$i, X735:$i]:((subset @ X735 @ (binunion @ X734 @ X735)))=>(![X736:$i, X737:$i, X738:$i]:(((in @ X738 @ X736)=>((in @ X738 @ X737)=>(in @ X738 @ (binintersect @ X736 @ X737)))))=>(![X739:$i, X740:$i, X741:$i]:(((subset @ X741 @ X739)=>((subset @ X741 @ X740)=>(subset @ X741 @ (binintersect @ X739 @ X740)))))=>(![X742:$i, X743:$i, X744:$i]:(((in @ X744 @ (binintersect @ X742 @ X743))=>(in @ X744 @ X742)))=>(![X745:$i, X746:$i]:((subset @ (binintersect @ X745 @ X746) @ X745))=>(![X747:$i, X748:$i]:(((subset @ X747 @ X748)=>((binintersect @ X747 @ X748)=(X747))))=>(![X749:$i, X750:$i]:((((binintersect @ X749 @ X750)=(X750))=>(subset @ X750 @ X749)))=>(![X751:$i, X752:$i, X753:$i]:(((in @ X753 @ (binintersect @ X751 @ X752))=>(in @ X753 @ X752)))=>(![X754:$i, X755:$i]:((~(?[X756:$i]:(((in @ X756 @ X754)&(in @ X756 @ X755))))=>((binintersect @ X754 @ X755)=(emptyset))))=>(![X757:$i, X758:$i]:((subset @ (binintersect @ X757 @ X758) @ X758))=>(![X759:$i, X760:$i]:(((subset @ X760 @ X759)=>((binintersect @ X759 @ X760)=(X760))))=>(![X761:$i, X762:$i]:((((binintersect @ X761 @ X762)=(X761))=>(subset @ X761 @ X762)))=>(![X763:$i, X764:$i, X765:$i]:(((binintersect @ X763 @ (binunion @ X764 @ X765))=(binunion @ (binintersect @ X763 @ X764) @ (binintersect @ X763 @ X765))))=>(![X766:$i, X767:$i, X768:$i]:(((in @ X768 @ X766)=>(~(in @ X768 @ X767)=>(in @ X768 @ (setminus @ X766 @ X767)))))=>(![X769:$i, X770:$i, X771:$i]:(((in @ X771 @ (setminus @ X769 @ X770))=>(in @ X771 @ X769)))=>(![X772:$i, X773:$i, X774:$i]:(((in @ X774 @ (setminus @ X772 @ X773))=>~(in @ X774 @ X773)))=>(![X775:$i, X776:$i]:(((subset @ X775 @ X776)=>((setminus @ X775 @ X776)=(emptyset))))=>(![X777:$i, X778:$i, X779:$i]:((~(in @ X779 @ (setminus @ X777 @ X778))=>((in @ X779 @ X777)=>(in @ X779 @ X778))))=>(![X780:$i, X781:$i, X782:$i]:((~(in @ X782 @ (setminus @ X780 @ X781))=>(~(in @ X782 @ X781)=>~(in @ X782 @ X780))))=>(![X783:$i, X784:$i, X785:$i]:((~(in @ X785 @ X783)=>~(in @ X785 @ (setminus @ X783 @ X784))))=>(![X786:$i, X787:$i, X788:$i]:(((in @ X788 @ X787)=>~(in @ X788 @ (setminus @ X786 @ X787))))=>(![X789:$i, X790:$i]:((subset @ (setminus @ X789 @ X790) @ X789))=>(![X791:$i, X792:$i]:((((setminus @ X791 @ X792)=(emptyset))=>(subset @ X791 @ X792)))=>(![X793:$i, X794:$i, X795:$i]:(((in @ X795 @ (symdiff @ X793 @ X794))=>![X796:$o]:((((in @ X795 @ X793)=>(~(in @ X795 @ X794)=>(X796)))=>((~(in @ X795 @ X793)=>((in @ X795 @ X794)=>(X796)))=>(X796))))))=>(![X797:$i, X798:$i, X799:$i]:(((in @ X799 @ X797)=>(~(in @ X799 @ X798)=>(in @ X799 @ (symdiff @ X797 @ X798)))))=>(![X800:$i, X801:$i, X802:$i]:((~(in @ X802 @ X800)=>((in @ X802 @ X801)=>(in @ X802 @ (symdiff @ X800 @ X801)))))=>(![X803:$i, X804:$i, X805:$i]:(((in @ X805 @ X803)=>((in @ X805 @ X804)=>~(in @ X805 @ (symdiff @ X803 @ X804)))))=>(![X806:$i, X807:$i, X808:$i]:((~(in @ X808 @ X806)=>(~(in @ X808 @ X807)=>~(in @ X808 @ (symdiff @ X806 @ X807)))))=>(![X809:$i, X810:$i]:((in @ X810 @ (setadjoin @ X809 @ (setadjoin @ X810 @ emptyset))))=>(![X811:$i, X812:$i]:((in @ X811 @ (setunion @ (setadjoin @ (setadjoin @ X811 @ emptyset) @ (setadjoin @ (setadjoin @ X811 @ (setadjoin @ X812 @ emptyset)) @ emptyset)))))=>(![X813:$i, X814:$i]:((in @ X814 @ (setunion @ (setadjoin @ (setadjoin @ X813 @ emptyset) @ (setadjoin @ (setadjoin @ X813 @ (setadjoin @ X814 @ emptyset)) @ emptyset)))))=>(![X815:$i, X816:$i]:(?[X817:$i]:(((in @ X817 @ (setunion @ (setadjoin @ (setadjoin @ X815 @ emptyset) @ (setadjoin @ (setadjoin @ X815 @ (setadjoin @ X816 @ emptyset)) @ emptyset))))&?[X818:$i]:(((in @ X818 @ (setunion @ (setadjoin @ (setadjoin @ X815 @ emptyset) @ (setadjoin @ (setadjoin @ X815 @ (setadjoin @ X816 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X815 @ emptyset) @ (setadjoin @ (setadjoin @ X815 @ (setadjoin @ X816 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X817 @ emptyset) @ (setadjoin @ (setadjoin @ X817 @ (setadjoin @ X818 @ emptyset)) @ emptyset))))))))=>(![X819:$i, X820:$i]:(?[X821:$i]:(((in @ X821 @ (setunion @ (kpair @ X819 @ X820)))&?[X822:$i]:(((in @ X822 @ (setunion @ (kpair @ X819 @ X820)))&((kpair @ X819 @ X820)=(setadjoin @ (setadjoin @ X821 @ emptyset) @ (setadjoin @ (setadjoin @ X821 @ (setadjoin @ X822 @ emptyset)) @ emptyset))))))))=>(![X823:$i, X824:$i]:(((in @ X824 @ X823)=>(subset @ (setadjoin @ X824 @ emptyset) @ X823)))=>(![X825:$i, X826:$i]:(((in @ X826 @ X825)=>(in @ (setadjoin @ X826 @ emptyset) @ (powerset @ X825))))=>(![X827:$i, X828:$i, X829:$i]:(((in @ X829 @ X827)=>(in @ (setadjoin @ X829 @ emptyset) @ (powerset @ (binunion @ X827 @ X828)))))=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_160, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_161]), foundationAx]), wellorderingAx]), c_0_162]), c_0_163]), c_0_164]), c_0_165]), c_0_166]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_167]), setext]), emptyI]), noeltsimpempty]), c_0_168]), c_0_169]), c_0_170]), c_0_171]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_172]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_173]), c_0_174]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_175]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_176]), c_0_177]), c_0_178]), inCongP]), in__Cong]), c_0_179]), c_0_180]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_181]), c_0_182]), c_0_183]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_184]), c_0_185]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), setukpairIL]), setukpairIR]), c_0_186]), c_0_187]), singletonsubset]), singletoninpowerset]), singletoninpowunion])])]), c_0_188])).
% 0.71/0.42 thf(c_0_190, negated_conjecture, ![X838:$i, X839:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X851:$i, X852:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X860:$i, X861:$i > $i > $o, X862:$i, X864:$i, X867:$i, X869:$i, X870:$i, X871:$i, X872:$i, X874:$i, X875:$i > $o, X876:$i, X878:$i, X879:$i > $o, X880:$i, X881:$i, X882:$i > $o, X883:$i, X884:$i, X885:$i > $o, X886:$i, X887:$i > $o, X888:$i, X891:$i, X892:$o, X893:$i, X894:$i, X895:$o, X896:$i, X897:$i, X898:$i > $o, X899:$i, X902:$i, X903:$i, X906:$i, X908:$i, X910:$i, X911:$i > $o, X912:$i, X913:$i, X915:$i, X916:$i > $o, X917:$i, X918:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X924:$i, X925:$i, X926:$i, X927:$i, X928:$o, X929:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$o, X948:$i, X949:$i, X950:$i > $o, X951:$i, X954:$i, X955:$i, X956:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X967:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i > $o, X975:$i, X976:$i > $o, X977:$i, X978:$i, X979:$i > $o, X980:$i, X982:$i, X983:$i > $o, X985:$i, X986:$i, X987:$i > $o, X989:$i, X990:$i, X991:$i > $o, X992:$i, X994:$o, X995:$o, X996:$i, X997:$i > $o, X999:$i, X1000:$i, X1001:$i > $o, X1002:$i, X1004:$i > $o, X1005:$i, X1008:$i, X1009:$i > $o, X1010:$i, X1014:$i, X1015:$i > $o, X1016:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i > $o, X1029:$i, X1031:$i, X1032:$i, X1033:$i > $o, X1034:$i > $o, X1037:$i, X1040:$i, X1041:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i > $o, X1054:$i, X1056:$i, X1057:$i, X1058:$i > $o, X1059:$i > $o, X1062:$i, X1064:$i, X1066:$i, X1067:$i, X1068:$i > $o, X1069:$i > $o, X1072:$i, X1073:$i, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1080:$i, X1082:$i, X1083:$i, X1084:$i, X1085:$i, X1086:$i, X1087:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1112:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i > $o, X1120:$i, X1121:$i > $o, X1122:$i, X1123:$i, X1124:$i, X1125:$i, X1126:$i, X1127:$i, X1128:$i, X1129:$i, X1130:$i, X1131:$i, X1132:$i, X1133:$o, X1134:$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, X1162:$i, X1163:$i, X1164:$i, X1165:$i, X1166:$i, X1167:$i, X1168:$i, X1169:$i, X1170:$i, X1171:$i, X1172:$i, X1173:$i, X1174:$i, X1175:$i, X1176:$i, X1177:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, 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:$i, X1201:$o, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1212:$i, X1213:$i, X1214:$i, X1215:$i, X1216:$i, X1217:$i, X1218:$i, X1219:$i, X1220:$i, X1221:$i, X1224:$i, X1225:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i]:((((~(in @ (esk1_2 @ X838 @ X839) @ X838)|~(in @ (esk1_2 @ X838 @ X839) @ X839)|((X838)=(X839)))&((in @ (esk1_2 @ X838 @ X839) @ X838)|(in @ (esk1_2 @ X838 @ X839) @ X839)|((X838)=(X839))))&(~(in @ X841 @ emptyset)&(((~(in @ X844 @ (setadjoin @ X842 @ X843))|(((X844)=(X842))|(in @ X844 @ X843)))&((((X844)!=(X842))|(in @ X844 @ (setadjoin @ X842 @ X843)))&(~(in @ X844 @ X843)|(in @ X844 @ (setadjoin @ X842 @ X843)))))&(((~(in @ X846 @ (powerset @ X845))|(~(in @ X847 @ X846)|(in @ X847 @ X845)))&(((in @ (esk2_2 @ X848 @ X849) @ X849)|(in @ X849 @ (powerset @ X848)))&(~(in @ (esk2_2 @ X848 @ X849) @ X848)|(in @ X849 @ (powerset @ X848)))))&(((((in @ X852 @ (esk3_2 @ X851 @ X852))|~(in @ X852 @ (setunion @ X851)))&((in @ (esk3_2 @ X851 @ X852) @ X851)|~(in @ X852 @ (setunion @ X851))))&(~(in @ X855 @ X856)|~(in @ X856 @ X854)|(in @ X855 @ (setunion @ X854))))&((in @ emptyset @ omega)&((~(in @ X857 @ omega)|(in @ (setadjoin @ X857 @ X857) @ omega))&(((((in @ (esk4_1 @ X858) @ omega)|~(in @ emptyset @ X858)|(~(in @ X860 @ omega)|(in @ X860 @ X858)))&((in @ (esk4_1 @ X858) @ X858)|~(in @ emptyset @ X858)|(~(in @ X860 @ omega)|(in @ X860 @ X858))))&(~(in @ (setadjoin @ (esk4_1 @ X858) @ (esk4_1 @ X858)) @ X858)|~(in @ emptyset @ X858)|(~(in @ X860 @ omega)|(in @ X860 @ X858))))&((((((in @ (esk8_3 @ X861 @ X862 @ X867) @ X862)|~(in @ X867 @ (esk7_2 @ X861 @ X862))|(in @ (esk5_2 @ X861 @ X862) @ X862))&((X861 @ (esk8_3 @ X861 @ X862 @ X867) @ X867)|~(in @ X867 @ (esk7_2 @ X861 @ X862))|(in @ (esk5_2 @ X861 @ X862) @ X862)))&(~(in @ X870 @ X862)|~(X861 @ X870 @ X869)|(in @ X869 @ (esk7_2 @ X861 @ X862))|(in @ (esk5_2 @ X861 @ X862) @ X862)))&(((((in @ (esk8_3 @ X861 @ X862 @ X867) @ X862)|~(in @ X867 @ (esk7_2 @ X861 @ X862))|((X861 @ (esk5_2 @ X861 @ X862) @ (esk6_3 @ X861 @ X862 @ X864))|~(X861 @ (esk5_2 @ X861 @ X862) @ X864)))&((X861 @ (esk8_3 @ X861 @ X862 @ X867) @ X867)|~(in @ X867 @ (esk7_2 @ X861 @ X862))|((X861 @ (esk5_2 @ X861 @ X862) @ (esk6_3 @ X861 @ X862 @ X864))|~(X861 @ (esk5_2 @ X861 @ X862) @ X864))))&(~(in @ X870 @ X862)|~(X861 @ X870 @ X869)|(in @ X869 @ (esk7_2 @ X861 @ X862))|((X861 @ (esk5_2 @ X861 @ X862) @ (esk6_3 @ X861 @ X862 @ X864))|~(X861 @ (esk5_2 @ X861 @ X862) @ X864))))&((((in @ (esk8_3 @ X861 @ X862 @ X867) @ X862)|~(in @ X867 @ (esk7_2 @ X861 @ X862))|(((X864)!=(esk6_3 @ X861 @ X862 @ X864))|~(X861 @ (esk5_2 @ X861 @ X862) @ X864)))&((X861 @ (esk8_3 @ X861 @ X862 @ X867) @ X867)|~(in @ X867 @ (esk7_2 @ X861 @ X862))|(((X864)!=(esk6_3 @ X861 @ X862 @ 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X1048))))&((((X1049)!=(X1050))|((powerset @ X1049)=(powerset @ X1050)))&((((X1051)!=(X1052))|((setunion @ X1051)=(setunion @ X1052)))&(((omega)=(omega))&((((X1053 @ (esk45_2 @ X1053 @ X1054))|~(X1053 @ X1054)|(~(X1053 @ X1056)|(~(X1053 @ X1057)|((X1056)=(X1057)))))&(((X1054)!=(esk45_2 @ X1053 @ X1054))|~(X1053 @ X1054)|(~(X1053 @ X1056)|(~(X1053 @ X1057)|((X1056)=(X1057))))))&((((((X1059 @ (esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|((X1058 @ (esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|((esk46_2 @ X1058 @ X1059)=(esk47_2 @ X1058 @ X1059)))&(((X1064)!=(esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|((X1058 @ (esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|((esk46_2 @ X1058 @ X1059)=(esk47_2 @ X1058 @ X1059))))&(((X1059 @ (esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|(((X1062)!=(esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|((esk46_2 @ X1058 @ X1059)=(esk47_2 @ X1058 @ X1059)))&(((X1064)!=(esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|(((X1062)!=(esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|((esk46_2 @ X1058 @ X1059)=(esk47_2 @ X1058 @ X1059)))))&(((((X1059 @ (esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|((X1058 @ (esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|(~(X1058 @ (esk46_2 @ X1058 @ X1059))|~(X1059 @ (esk47_2 @ X1058 @ X1059))))&(((X1064)!=(esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|((X1058 @ (esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|(~(X1058 @ (esk46_2 @ X1058 @ X1059))|~(X1059 @ (esk47_2 @ X1058 @ X1059)))))&(((X1059 @ (esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|(((X1062)!=(esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|(~(X1058 @ (esk46_2 @ X1058 @ X1059))|~(X1059 @ (esk47_2 @ X1058 @ X1059))))&(((X1064)!=(esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|(((X1062)!=(esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|(~(X1058 @ (esk46_2 @ X1058 @ X1059))|~(X1059 @ (esk47_2 @ X1058 @ X1059))))))&((((X1059 @ (esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|((X1058 @ (esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|((X1058 @ (esk46_2 @ X1058 @ X1059))|(X1059 @ (esk47_2 @ X1058 @ X1059))))&(((X1064)!=(esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|((X1058 @ (esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|((X1058 @ (esk46_2 @ X1058 @ X1059))|(X1059 @ (esk47_2 @ X1058 @ X1059)))))&(((X1059 @ (esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|(((X1062)!=(esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|((X1058 @ (esk46_2 @ X1058 @ X1059))|(X1059 @ (esk47_2 @ X1058 @ X1059))))&(((X1064)!=(esk49_3 @ X1058 @ X1059 @ X1064))|~(X1059 @ X1064)|((descr @ X1058)=(descr @ X1059))|(((X1062)!=(esk48_3 @ X1058 @ X1059 @ X1062))|~(X1058 @ X1062))|((X1058 @ (esk46_2 @ X1058 @ X1059))|(X1059 @ (esk47_2 @ X1058 @ X1059))))))))&((((in @ (esk50_4 @ X1066 @ X1067 @ X1068 @ X1069) @ X1066)|((dsetconstr @ X1066 @ X1068)=(dsetconstr @ X1067 @ X1069))|((X1066)!=(X1067)))&(((in @ (esk51_4 @ X1066 @ X1067 @ X1068 @ X1069) @ X1067)|((dsetconstr @ X1066 @ X1068)=(dsetconstr @ X1067 @ X1069))|((X1066)!=(X1067)))&((((esk50_4 @ X1066 @ X1067 @ X1068 @ X1069)=(esk51_4 @ X1066 @ X1067 @ X1068 @ X1069))|((dsetconstr @ X1066 @ X1068)=(dsetconstr @ X1067 @ X1069))|((X1066)!=(X1067)))&((~(X1068 @ (esk50_4 @ X1066 @ X1067 @ X1068 @ X1069))|~(X1069 @ (esk51_4 @ X1066 @ X1067 @ X1068 @ X1069))|((dsetconstr @ X1066 @ X1068)=(dsetconstr @ X1067 @ X1069))|((X1066)!=(X1067)))&((X1068 @ (esk50_4 @ X1066 @ X1067 @ X1068 @ X1069))|(X1069 @ (esk51_4 @ X1066 @ X1067 @ X1068 @ X1069))|((dsetconstr @ X1066 @ X1068)=(dsetconstr @ X1067 @ X1069))|((X1066)!=(X1067)))))))&((((in @ (esk52_2 @ X1072 @ X1073) @ X1072)|(subset @ X1072 @ X1073))&(~(in @ (esk52_2 @ X1072 @ X1073) @ X1073)|(subset @ X1072 @ X1073)))&((((X1075)!=(X1076))|(subset @ X1076 @ X1075))&((((X1077)!=(X1078))|(subset @ X1077 @ X1078))&((((in @ (esk53_2 @ X1079 @ X1080) @ X1079)|(subset @ X1079 @ X1080))&(~(in @ (esk53_2 @ X1079 @ X1080) @ X1080)|(subset @ X1079 @ X1080)))&((subset @ emptyset @ X1082)&((~(subset @ X1083 @ X1084)|(~(in @ X1085 @ X1083)|(in @ X1085 @ X1084)))&((~(subset @ X1086 @ X1087)|((in @ X1088 @ X1087)|~(in @ X1088 @ X1086)))&((~(in @ X1091 @ X1089)|((in @ X1091 @ X1090)|~(subset @ X1089 @ X1090)))&(((subset @ X1092 @ X1093)|((X1092)!=(X1093)))&((~(in @ X1096 @ X1094)|((in @ X1096 @ X1095)|((X1094)!=(X1095))))&((subset @ X1097 @ X1097)&((~(subset @ X1098 @ X1099)|(~(subset @ X1099 @ X1100)|(subset @ X1098 @ X1100)))&((subset @ X1102 @ (setadjoin @ X1101 @ X1102))&((~(subset @ X1103 @ X1105)|(subset @ X1103 @ (setadjoin @ X1104 @ X1105)))&((~(subset @ X1106 @ X1107)|(in @ X1106 @ (powerset @ X1107)))&((~(subset @ X1108 @ X1109)|(~(subset @ X1109 @ X1108)|((X1108)=(X1109))))&((~(subset @ X1110 @ emptyset)|((X1110)=(emptyset)))&((~(subset @ X1112 @ X1111)|(in @ X1112 @ (powerset @ X1111)))&((~(in @ X1114 @ (powerset @ X1113))|(subset @ X1114 @ X1113))&((in @ X1115 @ (powerset @ X1115))&((~(subset @ X1116 @ X1117)|(subset @ (powerset @ X1116) @ (powerset @ X1117)))&((in @ (dsetconstr @ X1118 @ X1119) @ (powerset @ X1118))&((subset @ (dsetconstr @ X1120 @ X1121) @ X1120)&((~(in @ X1124 @ X1122)|(in @ X1124 @ (binunion @ X1122 @ X1123)))&((in @ X1126 @ (setadjoin @ X1125 @ (setadjoin @ X1126 @ emptyset)))&((~(in @ X1129 @ X1128)|(in @ X1129 @ (binunion @ X1127 @ X1128)))&(((((in @ X1132 @ X1131)|(X1133)|(in @ X1132 @ X1130)|~(in @ X1132 @ (binunion @ X1130 @ X1131)))&(~(X1133)|(X1133)|(in @ X1132 @ X1130)|~(in @ X1132 @ (binunion @ X1130 @ X1131))))&(((in @ X1132 @ X1131)|(X1133)|~(X1133)|~(in @ X1132 @ (binunion @ X1130 @ X1131)))&(~(X1133)|(X1133)|~(X1133)|~(in @ X1132 @ (binunion @ X1130 @ X1131)))))&((~(in @ X1136 @ (binunion @ X1134 @ X1135))|((in @ X1136 @ X1134)|(in @ X1136 @ X1135)))&((subset @ X1137 @ (binunion @ X1137 @ X1138))&((subset @ X1140 @ (binunion @ X1139 @ X1140))&((~(in @ X1143 @ X1141)|(~(in @ X1143 @ X1142)|(in @ X1143 @ (binintersect @ X1141 @ X1142))))&((~(subset @ X1146 @ X1144)|(~(subset @ X1146 @ X1145)|(subset @ X1146 @ (binintersect @ X1144 @ X1145))))&((~(in @ X1149 @ (binintersect @ X1147 @ X1148))|(in @ X1149 @ X1147))&((subset @ (binintersect @ X1150 @ X1151) @ X1150)&((~(subset @ X1152 @ X1153)|((binintersect @ X1152 @ X1153)=(X1152)))&((((binintersect @ X1154 @ X1155)!=(X1155))|(subset @ X1155 @ X1154))&((~(in @ X1158 @ (binintersect @ X1156 @ X1157))|(in @ X1158 @ X1157))&((((in @ (esk54_2 @ X1159 @ X1160) @ X1159)|((binintersect @ X1159 @ X1160)=(emptyset)))&((in @ (esk54_2 @ X1159 @ X1160) @ X1160)|((binintersect @ X1159 @ X1160)=(emptyset))))&((subset @ (binintersect @ X1162 @ X1163) @ X1163)&((~(subset @ X1165 @ X1164)|((binintersect @ X1164 @ X1165)=(X1165)))&((((binintersect @ X1166 @ X1167)!=(X1166))|(subset @ X1166 @ X1167))&(((binintersect @ X1168 @ (binunion @ X1169 @ X1170))=(binunion @ (binintersect @ X1168 @ X1169) @ (binintersect @ X1168 @ X1170)))&((~(in @ X1173 @ X1171)|((in @ X1173 @ X1172)|(in @ X1173 @ (setminus @ X1171 @ X1172))))&((~(in @ X1176 @ (setminus @ X1174 @ X1175))|(in @ X1176 @ X1174))&((~(in @ X1179 @ (setminus @ X1177 @ X1178))|~(in @ X1179 @ X1178))&((~(subset @ X1180 @ X1181)|((setminus @ X1180 @ X1181)=(emptyset)))&(((in @ X1184 @ (setminus @ X1182 @ X1183))|(~(in @ X1184 @ X1182)|(in @ X1184 @ X1183)))&(((in @ X1187 @ (setminus @ X1185 @ X1186))|((in @ X1187 @ X1186)|~(in @ X1187 @ X1185)))&(((in @ X1190 @ X1188)|~(in @ X1190 @ (setminus @ X1188 @ X1189)))&((~(in @ X1193 @ X1192)|~(in @ X1193 @ (setminus @ X1191 @ X1192)))&((subset @ (setminus @ X1194 @ X1195) @ X1194)&((((setminus @ X1196 @ X1197)!=(emptyset))|(subset @ X1196 @ X1197))&((((~(in @ X1200 @ X1198)|(X1201)|(in @ X1200 @ X1198)|~(in @ X1200 @ (symdiff @ X1198 @ X1199)))&(((in @ X1200 @ X1199)|(X1201)|(in @ X1200 @ X1198)|~(in @ X1200 @ (symdiff @ X1198 @ X1199)))&(~(X1201)|(X1201)|(in @ X1200 @ X1198)|~(in @ X1200 @ (symdiff @ X1198 @ X1199)))))&(((~(in @ X1200 @ X1198)|(X1201)|~(in @ X1200 @ X1199)|~(in @ X1200 @ (symdiff @ X1198 @ X1199)))&(((in @ X1200 @ X1199)|(X1201)|~(in @ X1200 @ X1199)|~(in @ X1200 @ (symdiff @ X1198 @ X1199)))&(~(X1201)|(X1201)|~(in @ X1200 @ X1199)|~(in @ X1200 @ (symdiff @ X1198 @ X1199)))))&((~(in @ X1200 @ X1198)|(X1201)|~(X1201)|~(in @ X1200 @ (symdiff @ X1198 @ X1199)))&(((in @ X1200 @ X1199)|(X1201)|~(X1201)|~(in @ X1200 @ (symdiff @ X1198 @ X1199)))&(~(X1201)|(X1201)|~(X1201)|~(in @ X1200 @ (symdiff @ X1198 @ X1199)))))))&((~(in @ X1204 @ X1202)|((in @ X1204 @ X1203)|(in @ X1204 @ (symdiff @ X1202 @ X1203))))&(((in @ X1207 @ X1205)|(~(in @ X1207 @ X1206)|(in @ X1207 @ (symdiff @ X1205 @ X1206))))&((~(in @ X1210 @ X1208)|(~(in @ X1210 @ X1209)|~(in @ X1210 @ (symdiff @ X1208 @ X1209))))&(((in @ X1213 @ X1211)|((in @ X1213 @ X1212)|~(in @ X1213 @ (symdiff @ X1211 @ X1212))))&((in @ X1215 @ (setadjoin @ X1214 @ (setadjoin @ X1215 @ emptyset)))&((in @ X1216 @ (setunion @ (setadjoin @ (setadjoin @ X1216 @ emptyset) @ (setadjoin @ (setadjoin @ X1216 @ (setadjoin @ X1217 @ emptyset)) @ emptyset))))&((in @ X1219 @ (setunion @ (setadjoin @ (setadjoin @ X1218 @ emptyset) @ (setadjoin @ (setadjoin @ X1218 @ (setadjoin @ X1219 @ emptyset)) @ emptyset))))&(((in @ (esk55_2 @ X1220 @ X1221) @ (setunion @ (setadjoin @ (setadjoin @ X1220 @ emptyset) @ (setadjoin @ (setadjoin @ X1220 @ (setadjoin @ X1221 @ emptyset)) @ emptyset))))&((in @ (esk56_2 @ X1220 @ X1221) @ (setunion @ (setadjoin @ (setadjoin @ X1220 @ emptyset) @ (setadjoin @ (setadjoin @ X1220 @ (setadjoin @ X1221 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1220 @ emptyset) @ (setadjoin @ (setadjoin @ X1220 @ (setadjoin @ X1221 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X1220 @ X1221) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X1220 @ X1221) @ (setadjoin @ (esk56_2 @ X1220 @ X1221) @ emptyset)) @ emptyset)))))&(((in @ (esk57_2 @ X1224 @ X1225) @ (setunion @ (kpair @ X1224 @ X1225)))&((in @ (esk58_2 @ X1224 @ X1225) @ (setunion @ (kpair @ X1224 @ X1225)))&((kpair @ X1224 @ X1225)=(setadjoin @ (setadjoin @ (esk57_2 @ X1224 @ X1225) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X1224 @ X1225) @ (setadjoin @ (esk58_2 @ X1224 @ X1225) @ emptyset)) @ emptyset)))))&((~(in @ X1229 @ X1228)|(subset @ (setadjoin @ X1229 @ emptyset) @ X1228))&((~(in @ X1231 @ X1230)|(in @ (setadjoin @ X1231 @ emptyset) @ (powerset @ X1230)))&((~(in @ X1234 @ X1232)|(in @ (setadjoin @ X1234 @ emptyset) @ (powerset @ (binunion @ X1232 @ X1233))))&((in @ esk61_0 @ (setadjoin @ esk59_0 @ (setadjoin @ esk60_0 @ emptyset)))&(((esk61_0)!=(esk59_0))&((esk61_0)!=(esk60_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_189])])])])])])])).
% 0.71/0.42 thf(c_0_191, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ X3)|((X2)=(X4))|~((in @ X2 @ (setadjoin @ X4 @ X3))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_190])])])).
% 0.71/0.42 thf(c_0_192, negated_conjecture, (in @ esk61_0 @ (setadjoin @ esk59_0 @ (setadjoin @ esk60_0 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_190])).
% 0.71/0.42 thf(c_0_193, negated_conjecture, ((esk61_0)!=(esk59_0)), inference(split_conjunct,[status(thm)],[c_0_190])).
% 0.71/0.42 thf(c_0_194, negated_conjecture, (in @ esk61_0 @ (setadjoin @ esk60_0 @ emptyset)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_192]), c_0_193])).
% 0.71/0.42 thf(c_0_195, negated_conjecture, ((esk61_0)!=(esk60_0)), inference(split_conjunct,[status(thm)],[c_0_190])).
% 0.71/0.42 thf(c_0_196, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_190])).
% 0.71/0.42 thf(c_0_197, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_194]), c_0_195]), c_0_196]), ['proof']).
% 0.71/0.42 % SZS output end CNFRefutation
% 0.71/0.42 % Parsed axioms : 309
% 0.71/0.42 % Removed by relevancy pruning/SinE : 0
% 0.71/0.42 % Initial clauses : 440
% 0.71/0.42 % Removed in clause preprocessing : 188
% 0.71/0.42 % Initial clauses in saturation : 252
% 0.71/0.42 % Processed clauses : 507
% 0.71/0.42 % ...of these trivial : 9
% 0.71/0.42 % ...subsumed : 239
% 0.71/0.42 % ...remaining for further processing : 259
% 0.71/0.42 % Other redundant clauses eliminated : 20
% 0.71/0.42 % Clauses deleted for lack of memory : 0
% 0.71/0.42 % Backward-subsumed : 0
% 0.71/0.42 % Backward-rewritten : 4
% 0.71/0.42 % Generated clauses : 3527
% 0.71/0.42 % ...of the previous two non-redundant : 2671
% 0.71/0.42 % ...aggressively subsumed : 0
% 0.71/0.42 % Contextual simplify-reflections : 0
% 0.71/0.42 % Paramodulations : 3507
% 0.71/0.42 % Factorizations : 0
% 0.71/0.42 % NegExts : 0
% 0.71/0.42 % Equation resolutions : 20
% 0.71/0.42 % Disequality decompositions : 0
% 0.71/0.42 % Total rewrite steps : 1648
% 0.71/0.42 % ...of those cached : 1562
% 0.71/0.42 % Propositional unsat checks : 0
% 0.71/0.42 % Propositional check models : 0
% 0.71/0.42 % Propositional check unsatisfiable : 0
% 0.71/0.42 % Propositional clauses : 0
% 0.71/0.42 % Propositional clauses after purity: 0
% 0.71/0.42 % Propositional unsat core size : 0
% 0.71/0.42 % Propositional preprocessing time : 0.000
% 0.71/0.42 % Propositional encoding time : 0.000
% 0.71/0.42 % Propositional solver time : 0.000
% 0.71/0.42 % Success case prop preproc time : 0.000
% 0.71/0.42 % Success case prop encoding time : 0.000
% 0.71/0.42 % Success case prop solver time : 0.000
% 0.71/0.42 % Current number of processed clauses : 248
% 0.71/0.42 % Positive orientable unit clauses : 96
% 0.71/0.42 % Positive unorientable unit clauses: 0
% 0.71/0.42 % Negative unit clauses : 3
% 0.71/0.42 % Non-unit-clauses : 149
% 0.71/0.42 % Current number of unprocessed clauses: 2389
% 0.71/0.42 % ...number of literals in the above : 6379
% 0.71/0.42 % Current number of archived formulas : 0
% 0.71/0.42 % Current number of archived clauses : 4
% 0.71/0.42 % Clause-clause subsumption calls (NU) : 1626
% 0.71/0.42 % Rec. Clause-clause subsumption calls : 1467
% 0.71/0.42 % Non-unit clause-clause subsumptions : 147
% 0.71/0.42 % Unit Clause-clause subsumption calls : 29
% 0.71/0.42 % Rewrite failures with RHS unbound : 0
% 0.71/0.42 % BW rewrite match attempts : 174
% 0.71/0.42 % BW rewrite match successes : 3
% 0.71/0.42 % Condensation attempts : 0
% 0.71/0.42 % Condensation successes : 0
% 0.71/0.42 % Termbank termtop insertions : 77952
% 0.71/0.42 % Search garbage collected termcells : 13785
% 0.71/0.42
% 0.71/0.42 % -------------------------------------------------
% 0.71/0.42 % User time : 0.105 s
% 0.71/0.42 % System time : 0.012 s
% 0.71/0.42 % Total time : 0.117 s
% 0.71/0.42 % Maximum resident set size: 7012 pages
% 0.71/0.42
% 0.71/0.42 % -------------------------------------------------
% 0.71/0.42 % User time : 0.113 s
% 0.71/0.42 % System time : 0.020 s
% 0.71/0.42 % Total time : 0.132 s
% 0.71/0.42 % Maximum resident set size: 5376 pages
% 0.71/0.42 % E exiting
%------------------------------------------------------------------------------