%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU617^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:24:44 AM UTC 2026
% Result : Theorem 0.95s 0.49s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU617^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n026.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 14:01:12 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.25 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p
% 0.95/0.49 % Version: 3.5.1-ho
% 0.95/0.49 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.95/0.49 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.49 % Starting ehoh_best5 with 300s (1) cores
% 0.95/0.49 % Starting almost_fo_3_lam with 300s (1) cores
% 0.95/0.49 % Starting new_bool_5 with 300s (1) cores
% 0.95/0.49 % Starting pre_casc_3 with 300s (1) cores
% 0.95/0.49 % Starting ho_unfolding_8 with 300s (1) cores
% 0.95/0.49 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.95/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.95/0.49 % Starting new_ho_5 with 300s (1) cores
% 0.95/0.49 % new_bool_5 with pid 644250 completed with status 0
% 0.95/0.49 % Result found by new_bool_5
% 0.95/0.49 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.95/0.49 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.49 % Starting ehoh_best5 with 300s (1) cores
% 0.95/0.49 % Starting almost_fo_3_lam with 300s (1) cores
% 0.95/0.49 % Starting new_bool_5 with 300s (1) cores
% 0.95/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.95/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.95/0.49 % Search class: HGHSM-FSLS31-MHFMMSBN
% 0.95/0.49 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.95/0.49 % Starting SubtermCWHack with 28s (1) cores
% 0.95/0.49 % SubtermCWHack with pid 644262 completed with status 0
% 0.95/0.49 % Result found by SubtermCWHack
% 0.95/0.49 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.95/0.49 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.49 % Starting ehoh_best5 with 300s (1) cores
% 0.95/0.49 % Starting almost_fo_3_lam with 300s (1) cores
% 0.95/0.49 % Starting new_bool_5 with 300s (1) cores
% 0.95/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.95/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.95/0.49 % Search class: HGHSM-FSLS31-MHFMMSBN
% 0.95/0.49 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.95/0.49 % Starting SubtermCWHack with 28s (1) cores
% 0.95/0.49 % Preprocessing time : 0.003 s
% 0.95/0.49
% 0.95/0.49 % Proof found!
% 0.95/0.49 % SZS status Theorem
% 0.95/0.49 % SZS output start CNFRefutation
% 0.95/0.49 thf(decl_23, type, in: $i > $i > $o).
% 0.95/0.49 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.95/0.49 thf(decl_25, type, setextAx: $o).
% 0.95/0.49 thf(decl_26, type, emptyset: $i).
% 0.95/0.49 thf(decl_27, type, emptysetAx: $o).
% 0.95/0.49 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.95/0.49 thf(decl_29, type, setadjoinAx: $o).
% 0.95/0.49 thf(decl_30, type, powerset: $i > $i).
% 0.95/0.49 thf(decl_31, type, powersetAx: $o).
% 0.95/0.49 thf(decl_32, type, setunion: $i > $i).
% 0.95/0.49 thf(decl_33, type, setunionAx: $o).
% 0.95/0.49 thf(decl_34, type, omega: $i).
% 0.95/0.49 thf(decl_35, type, omega0Ax: $o).
% 0.95/0.49 thf(decl_36, type, omegaSAx: $o).
% 0.95/0.49 thf(decl_37, type, omegaIndAx: $o).
% 0.95/0.49 thf(decl_38, type, replAx: $o).
% 0.95/0.49 thf(decl_39, type, foundationAx: $o).
% 0.95/0.49 thf(decl_40, type, wellorderingAx: $o).
% 0.95/0.49 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.95/0.49 thf(decl_42, type, descrp: $o).
% 0.95/0.49 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.95/0.49 thf(decl_44, type, dsetconstrI: $o).
% 0.95/0.49 thf(decl_45, type, dsetconstrEL: $o).
% 0.95/0.49 thf(decl_46, type, dsetconstrER: $o).
% 0.95/0.49 thf(decl_47, type, exuE1: $o).
% 0.95/0.49 thf(decl_48, type, prop2set: $o > $i).
% 0.95/0.49 thf(decl_49, type, prop2setE: $o).
% 0.95/0.49 thf(decl_50, type, emptysetE: $o).
% 0.95/0.49 thf(decl_51, type, emptysetimpfalse: $o).
% 0.95/0.49 thf(decl_52, type, notinemptyset: $o).
% 0.95/0.49 thf(decl_53, type, exuE3e: $o).
% 0.95/0.49 thf(decl_54, type, setext: $o).
% 0.95/0.49 thf(decl_55, type, emptyI: $o).
% 0.95/0.49 thf(decl_56, type, noeltsimpempty: $o).
% 0.95/0.49 thf(decl_57, type, setbeta: $o).
% 0.95/0.49 thf(decl_58, type, nonempty: $i > $o).
% 0.95/0.49 thf(decl_59, type, nonemptyE1: $o).
% 0.95/0.49 thf(decl_60, type, nonemptyI: $o).
% 0.95/0.49 thf(decl_61, type, nonemptyI1: $o).
% 0.95/0.49 thf(decl_62, type, setadjoinIL: $o).
% 0.95/0.49 thf(decl_63, type, emptyinunitempty: $o).
% 0.95/0.49 thf(decl_64, type, setadjoinIR: $o).
% 0.95/0.49 thf(decl_65, type, setadjoinE: $o).
% 0.95/0.49 thf(decl_66, type, setadjoinOr: $o).
% 0.95/0.49 thf(decl_67, type, setoftrueEq: $o).
% 0.95/0.49 thf(decl_68, type, powersetI: $o).
% 0.95/0.49 thf(decl_69, type, emptyinPowerset: $o).
% 0.95/0.49 thf(decl_70, type, emptyInPowerset: $o).
% 0.95/0.49 thf(decl_71, type, powersetE: $o).
% 0.95/0.49 thf(decl_72, type, setunionI: $o).
% 0.95/0.49 thf(decl_73, type, setunionE: $o).
% 0.95/0.49 thf(decl_74, type, subPowSU: $o).
% 0.95/0.49 thf(decl_75, type, exuE2: $o).
% 0.95/0.49 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.95/0.49 thf(decl_77, type, uniqinunit: $o).
% 0.95/0.49 thf(decl_78, type, notinsingleton: $o).
% 0.95/0.49 thf(decl_79, type, eqinunit: $o).
% 0.95/0.49 thf(decl_80, type, singletonsswitch: $o).
% 0.95/0.49 thf(decl_81, type, upairsetE: $o).
% 0.95/0.49 thf(decl_82, type, upairsetIL: $o).
% 0.95/0.49 thf(decl_83, type, upairsetIR: $o).
% 0.95/0.49 thf(decl_84, type, emptyE1: $o).
% 0.95/0.49 thf(decl_85, type, vacuousDall: $o).
% 0.95/0.49 thf(decl_86, type, quantDeMorgan1: $o).
% 0.95/0.49 thf(decl_87, type, quantDeMorgan2: $o).
% 0.95/0.49 thf(decl_88, type, quantDeMorgan3: $o).
% 0.95/0.49 thf(decl_89, type, quantDeMorgan4: $o).
% 0.95/0.49 thf(decl_90, type, prop2setI: $o).
% 0.95/0.49 thf(decl_92, type, prop2set2propI: $o).
% 0.95/0.49 thf(decl_93, type, notdexE: $o).
% 0.95/0.49 thf(decl_94, type, notdallE: $o).
% 0.95/0.49 thf(decl_95, type, exuI1: $o).
% 0.95/0.49 thf(decl_96, type, exuI3: $o).
% 0.95/0.49 thf(decl_97, type, exuI2: $o).
% 0.95/0.49 thf(decl_98, type, inCongP: $o).
% 0.95/0.49 thf(decl_99, type, in__Cong: $o).
% 0.95/0.49 thf(decl_100, type, exuE3u: $o).
% 0.95/0.49 thf(decl_101, type, exu__Cong: $o).
% 0.95/0.49 thf(decl_102, type, emptyset__Cong: $o).
% 0.95/0.49 thf(decl_103, type, setadjoin__Cong: $o).
% 0.95/0.49 thf(decl_104, type, powerset__Cong: $o).
% 0.95/0.49 thf(decl_105, type, setunion__Cong: $o).
% 0.95/0.49 thf(decl_106, type, omega__Cong: $o).
% 0.95/0.49 thf(decl_107, type, exuEu: $o).
% 0.95/0.49 thf(decl_108, type, descr__Cong: $o).
% 0.95/0.49 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.95/0.49 thf(decl_110, type, subset: $i > $i > $o).
% 0.95/0.49 thf(decl_113, type, subsetI1: $o).
% 0.95/0.49 thf(decl_114, type, eqimpsubset2: $o).
% 0.95/0.49 thf(decl_115, type, eqimpsubset1: $o).
% 0.95/0.49 thf(decl_116, type, subsetI2: $o).
% 0.95/0.49 thf(decl_117, type, emptysetsubset: $o).
% 0.95/0.49 thf(decl_118, type, subsetE: $o).
% 0.95/0.49 thf(decl_119, type, subsetE2: $o).
% 0.95/0.49 thf(decl_120, type, notsubsetI: $o).
% 0.95/0.49 thf(decl_121, type, notequalI1: $o).
% 0.95/0.49 thf(decl_122, type, notequalI2: $o).
% 0.95/0.49 thf(decl_123, type, subsetRefl: $o).
% 0.95/0.49 thf(decl_124, type, subsetTrans: $o).
% 0.95/0.49 thf(decl_125, type, setadjoinSub: $o).
% 0.95/0.49 thf(decl_126, type, setadjoinSub2: $o).
% 0.95/0.49 thf(decl_127, type, subset2powerset: $o).
% 0.95/0.49 thf(decl_128, type, setextsub: $o).
% 0.95/0.49 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.95/0.49 thf(decl_130, type, powersetI1: $o).
% 0.95/0.49 thf(decl_131, type, powersetE1: $o).
% 0.95/0.49 thf(decl_132, type, inPowerset: $o).
% 0.95/0.49 thf(decl_133, type, powersetsubset: $o).
% 0.95/0.49 thf(decl_134, type, sepInPowerset: $o).
% 0.95/0.49 thf(decl_135, type, sepSubset: $o).
% 0.95/0.49 thf(decl_136, type, binunion: $i > $i > $i).
% 0.95/0.49 thf(decl_137, type, binunionIL: $o).
% 0.95/0.49 thf(decl_138, type, upairset2IR: $o).
% 0.95/0.49 thf(decl_139, type, binunionIR: $o).
% 0.95/0.49 thf(decl_140, type, binunionEcases: $o).
% 0.95/0.49 thf(decl_141, type, binunionE: $o).
% 0.95/0.49 thf(decl_142, type, binunionLsub: $o).
% 0.95/0.49 thf(decl_143, type, binunionRsub: $o).
% 0.95/0.49 thf(decl_144, type, binintersect: $i > $i > $i).
% 0.95/0.49 thf(decl_145, type, binintersectI: $o).
% 0.95/0.49 thf(decl_146, type, binintersectSubset5: $o).
% 0.95/0.49 thf(decl_147, type, binintersectEL: $o).
% 0.95/0.49 thf(decl_148, type, binintersectLsub: $o).
% 0.95/0.49 thf(decl_149, type, binintersectSubset2: $o).
% 0.95/0.49 thf(decl_150, type, binintersectSubset3: $o).
% 0.95/0.49 thf(decl_151, type, binintersectER: $o).
% 0.95/0.49 thf(decl_152, type, disjointsetsI1: $o).
% 0.95/0.49 thf(decl_153, type, binintersectRsub: $o).
% 0.95/0.49 thf(decl_154, type, binintersectSubset4: $o).
% 0.95/0.49 thf(decl_155, type, binintersectSubset1: $o).
% 0.95/0.49 thf(decl_156, type, bs114d: $o).
% 0.95/0.49 thf(decl_158, type, setminus: $i > $i > $i).
% 0.95/0.49 thf(decl_159, type, setminusI: $o).
% 0.95/0.49 thf(decl_160, type, setminusEL: $o).
% 0.95/0.49 thf(decl_161, type, setminusER: $o).
% 0.95/0.49 thf(decl_162, type, setminusSubset2: $o).
% 0.95/0.49 thf(decl_163, type, setminusERneg: $o).
% 0.95/0.49 thf(decl_164, type, setminusELneg: $o).
% 0.95/0.49 thf(decl_165, type, setminusILneg: $o).
% 0.95/0.49 thf(decl_166, type, setminusIRneg: $o).
% 0.95/0.49 thf(decl_167, type, setminusLsub: $o).
% 0.95/0.49 thf(decl_168, type, setminusSubset1: $o).
% 0.95/0.49 thf(decl_169, type, symdiff: $i > $i > $i).
% 0.95/0.49 thf(decl_170, type, symdiffE: $o).
% 0.95/0.49 thf(decl_171, type, symdiffI1: $o).
% 0.95/0.49 thf(decl_172, type, symdiffI2: $o).
% 0.95/0.49 thf(decl_173, type, symdiffIneg1: $o).
% 0.95/0.49 thf(decl_174, type, symdiffIneg2: $o).
% 0.95/0.49 thf(decl_176, type, secondinupair: $o).
% 0.95/0.49 thf(decl_177, type, epred1_0: $o).
% 0.95/0.49 thf(decl_178, type, esk1_2: $i > $i > $i).
% 0.95/0.49 thf(decl_179, type, esk2_2: $i > $i > $i).
% 0.95/0.49 thf(decl_180, type, esk3_2: $i > $i > $i).
% 0.95/0.49 thf(decl_181, type, esk4_1: $i > $i).
% 0.95/0.49 thf(decl_182, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.95/0.49 thf(decl_183, type, esk6_2: ($i > $i > $o) > $i > $i).
% 0.95/0.49 thf(decl_184, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 0.95/0.49 thf(decl_185, type, esk8_1: $i > $i).
% 0.95/0.49 thf(decl_186, type, esk9_1: ($i > $o) > $i).
% 0.95/0.49 thf(decl_187, type, esk10_1: ($i > $o) > $i).
% 0.95/0.49 thf(decl_188, type, esk11_2: $i > $i > $i).
% 0.95/0.49 thf(decl_189, type, esk12_2: $i > $i > $i).
% 0.95/0.49 thf(decl_190, type, esk13_1: $i > $i).
% 0.95/0.49 thf(decl_191, type, esk14_1: $i > $i).
% 0.95/0.49 thf(decl_192, type, esk15_1: $i > $i).
% 0.95/0.49 thf(decl_193, type, esk16_2: $i > $i > $i).
% 0.95/0.49 thf(decl_194, type, esk17_3: $i > $i > $o > $i).
% 0.95/0.49 thf(decl_195, type, esk18_1: ($i > $o) > $i).
% 0.95/0.49 thf(decl_196, type, esk19_1: $i > $i).
% 0.95/0.49 thf(decl_197, type, esk20_2: $i > ($i > $o) > $i).
% 0.95/0.49 thf(decl_198, type, esk21_2: $i > ($i > $o) > $i).
% 0.95/0.49 thf(decl_199, type, esk22_2: $i > ($i > $o) > $i).
% 0.95/0.49 thf(decl_200, type, esk23_2: $i > ($i > $o) > $i).
% 0.95/0.49 thf(decl_201, type, esk24_2: $i > ($i > $o) > $i).
% 0.95/0.49 thf(decl_202, type, esk25_2: $i > ($i > $o) > $i).
% 0.95/0.49 thf(decl_203, type, esk26_2: ($i > $o) > $i > $i).
% 0.95/0.49 thf(decl_204, type, esk27_1: ($i > $o) > $i).
% 0.95/0.49 thf(decl_205, type, esk28_1: ($i > $o) > $i).
% 0.95/0.49 thf(decl_206, type, esk29_2: ($i > $o) > $i > $i).
% 0.95/0.49 thf(decl_207, type, esk30_2: ($i > $o) > ($i > $o) > $i).
% 0.95/0.49 thf(decl_208, type, esk31_2: ($i > $o) > ($i > $o) > $i).
% 0.95/0.49 thf(decl_209, type, esk32_2: ($i > $o) > ($i > $o) > $i).
% 0.95/0.49 thf(decl_210, type, esk33_2: ($i > $o) > ($i > $o) > $i).
% 0.95/0.49 thf(decl_211, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.95/0.49 thf(decl_212, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.95/0.49 thf(decl_213, type, esk36_2: $i > $i > $i).
% 0.95/0.49 thf(decl_214, type, esk37_2: $i > $i > $i).
% 0.95/0.49 thf(decl_215, type, esk38_2: $i > $i > $i).
% 0.95/0.49 thf(decl_216, type, esk39_0: $i).
% 0.95/0.49 thf(decl_217, type, esk40_0: $i).
% 0.95/0.49 thf(setukpairIL, 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)=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setukpairIL)).
% 0.95/0.49 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', nonemptyI)).
% 0.95/0.49 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setbeta)).
% 0.95/0.49 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', exuE3e)).
% 0.95/0.49 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setoftrueEq)).
% 0.95/0.49 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', exuE2)).
% 0.95/0.49 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', emptyE1)).
% 0.95/0.49 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', exuI1)).
% 0.95/0.49 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', exu__Cong)).
% 0.95/0.49 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', exuE3u)).
% 0.95/0.49 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', exuI2)).
% 0.95/0.49 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', exuI3)).
% 0.95/0.49 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', dsetconstr__Cong)).
% 0.95/0.49 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', descr__Cong)).
% 0.95/0.49 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', exuEu)).
% 0.95/0.49 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', sepSubset)).
% 0.95/0.49 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', sepInPowerset)).
% 0.95/0.49 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', exuE1)).
% 0.95/0.49 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', dsetconstrER)).
% 0.95/0.49 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', dsetconstrEL)).
% 0.95/0.49 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', dsetconstrI)).
% 0.95/0.49 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', descrp)).
% 0.95/0.49 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', replAx)).
% 0.95/0.49 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binintersectEL)).
% 0.95/0.49 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binintersectI)).
% 0.95/0.49 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binintersectSubset5)).
% 0.95/0.49 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binintersectLsub)).
% 0.95/0.49 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binintersectSubset2)).
% 0.95/0.49 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binintersectSubset3)).
% 0.95/0.49 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binintersectER)).
% 0.95/0.49 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', disjointsetsI1)).
% 0.95/0.49 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', nonemptyE1)).
% 0.95/0.49 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binintersectRsub)).
% 0.95/0.49 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binintersectSubset4)).
% 0.95/0.49 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', noeltsimpempty)).
% 0.95/0.49 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binintersectSubset1)).
% 0.95/0.49 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', emptyI)).
% 0.95/0.49 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', bs114d)).
% 0.95/0.49 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setext)).
% 0.95/0.49 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setminusI)).
% 0.95/0.49 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setminusEL)).
% 0.95/0.49 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', nonemptyI1)).
% 0.95/0.49 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setminusER)).
% 0.95/0.49 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setminusSubset2)).
% 0.95/0.49 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setminusERneg)).
% 0.95/0.49 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setminusELneg)).
% 0.95/0.49 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setminusILneg)).
% 0.95/0.49 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setminusIRneg)).
% 0.95/0.49 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setminusLsub)).
% 0.95/0.49 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setminusSubset1)).
% 0.95/0.49 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', symdiffE)).
% 0.95/0.49 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', symdiffI1)).
% 0.95/0.49 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', symdiffI2)).
% 0.95/0.49 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', symdiffIneg1)).
% 0.95/0.49 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', symdiffIneg2)).
% 0.95/0.49 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', secondinupair)).
% 0.95/0.49 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', powersetI)).
% 0.95/0.49 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setadjoinOr)).
% 0.95/0.49 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setadjoinE)).
% 0.95/0.49 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setadjoinIR)).
% 0.95/0.49 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', emptyinunitempty)).
% 0.95/0.49 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setadjoinIL)).
% 0.95/0.49 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', emptyinPowerset)).
% 0.95/0.49 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', nonemptyImpWitness)).
% 0.95/0.49 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', subPowSU)).
% 0.95/0.49 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setunionE)).
% 0.95/0.49 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setunionI)).
% 0.95/0.49 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', powersetE)).
% 0.95/0.49 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', emptyInPowerset)).
% 0.95/0.49 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', uniqinunit)).
% 0.95/0.49 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', eqimpsubset1)).
% 0.95/0.49 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', notequalI2)).
% 0.95/0.49 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', subsetemptysetimpeq)).
% 0.95/0.49 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setextsub)).
% 0.95/0.49 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', subset2powerset)).
% 0.95/0.49 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setadjoinSub2)).
% 0.95/0.49 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', upairsetIR)).
% 0.95/0.49 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', upairsetIL)).
% 0.95/0.49 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', upairsetE)).
% 0.95/0.49 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', singletonsswitch)).
% 0.95/0.49 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', eqinunit)).
% 0.95/0.49 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', notinsingleton)).
% 0.95/0.49 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', vacuousDall)).
% 0.95/0.49 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', notdallE)).
% 0.95/0.49 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', notdexE)).
% 0.95/0.49 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', prop2setI)).
% 0.95/0.49 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', quantDeMorgan4)).
% 0.95/0.49 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', quantDeMorgan3)).
% 0.95/0.49 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', quantDeMorgan2)).
% 0.95/0.49 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', quantDeMorgan1)).
% 0.95/0.49 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', emptyset__Cong)).
% 0.95/0.49 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', in__Cong)).
% 0.95/0.49 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', inCongP)).
% 0.95/0.49 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setadjoin__Cong)).
% 0.95/0.49 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', subsetI1)).
% 0.95/0.49 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', omega__Cong)).
% 0.95/0.49 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setunion__Cong)).
% 0.95/0.49 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', powerset__Cong)).
% 0.95/0.49 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', eqimpsubset2)).
% 0.95/0.49 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', notequalI1)).
% 0.95/0.49 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', notsubsetI)).
% 0.95/0.49 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', subsetE2)).
% 0.95/0.49 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', subsetE)).
% 0.95/0.49 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', emptysetsubset)).
% 0.95/0.49 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', subsetI2)).
% 0.95/0.49 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setadjoinSub)).
% 0.95/0.49 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', subsetTrans)).
% 0.95/0.49 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', subsetRefl)).
% 0.95/0.49 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', powersetI1)).
% 0.95/0.49 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', upairset2IR)).
% 0.95/0.49 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binunionIL)).
% 0.95/0.49 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', powersetsubset)).
% 0.95/0.49 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', inPowerset)).
% 0.95/0.49 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', powersetE1)).
% 0.95/0.49 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binunionEcases)).
% 0.95/0.49 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binunionE)).
% 0.95/0.49 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binunionLsub)).
% 0.95/0.49 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binunionRsub)).
% 0.95/0.49 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', binunionIR)).
% 0.95/0.49 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', notinemptyset)).
% 0.95/0.49 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', emptysetimpfalse)).
% 0.95/0.49 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', emptysetE)).
% 0.95/0.49 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', prop2setE)).
% 0.95/0.49 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', wellorderingAx)).
% 0.95/0.49 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', foundationAx)).
% 0.95/0.49 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', omegaIndAx)).
% 0.95/0.49 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', omegaSAx)).
% 0.95/0.49 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', omega0Ax)).
% 0.95/0.49 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setunionAx)).
% 0.95/0.49 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', powersetAx)).
% 0.95/0.49 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setadjoinAx)).
% 0.95/0.49 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', emptysetAx)).
% 0.95/0.49 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.viVjPrKOIX/E---3.1_644216.p', setextAx)).
% 0.95/0.49 thf(c_0_133, 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)=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setukpairIL])).
% 0.95/0.49 thf(c_0_134, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.95/0.49 thf(c_0_135, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.95/0.49 thf(c_0_136, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.95/0.49 thf(c_0_137, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.95/0.49 thf(c_0_138, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.95/0.49 thf(c_0_139, 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])).
% 0.95/0.49 thf(c_0_140, 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])).
% 0.95/0.49 thf(c_0_141, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.95/0.49 thf(c_0_142, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 0.95/0.49 thf(c_0_143, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.95/0.49 thf(c_0_144, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.95/0.49 thf(c_0_145, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.95/0.49 thf(c_0_146, plain, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.95/0.49 thf(c_0_147, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.95/0.49 thf(c_0_148, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.95/0.49 thf(c_0_149, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.95/0.49 thf(c_0_150, 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])).
% 0.95/0.49 thf(c_0_151, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.95/0.49 thf(c_0_152, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.95/0.49 thf(c_0_153, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.95/0.49 thf(c_0_154, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.95/0.49 thf(c_0_155, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.95/0.49 thf(c_0_156, plain, ((epred1_0)<=>![X405:$i]:(?[X406:$i]:((((![X407:$i]:(((in @ X407 @ X406)=>![X408:$i]:(((in @ X408 @ X407)=>(in @ X408 @ X405)))))&![X409:$i, X410:$i]:((((in @ X409 @ X405)&(in @ X410 @ X405))=>(![X411:$i]:(((in @ X411 @ X406)=>((in @ X409 @ X411)<=>(in @ X410 @ X411))))=>((X409)=(X410))))))&![X412:$i, X413:$i]:((((in @ X412 @ X406)&(in @ X413 @ X406))=>(![X414:$i]:(((in @ X414 @ X412)=>(in @ X414 @ X413)))|![X415:$i]:(((in @ X415 @ X413)=>(in @ X415 @ X412)))))))&![X416:$i]:(((![X417:$i]:(((in @ X417 @ X416)=>(in @ X417 @ X405)))&?[X418:$i]:((in @ X418 @ X416)))=>?[X419:$i, X420:$i]:(((((in @ X419 @ X406)&(in @ X420 @ X416))&~(?[X421:$i]:(((in @ X421 @ X419)&(in @ X421 @ X416)))))&![X422:$i]:(((in @ X422 @ X406)=>(![X423:$i]:(((in @ X423 @ X422)=>(in @ X423 @ X419)))|(in @ X420 @ X422)))))))))))), introduced(definition)).
% 0.95/0.49 thf(c_0_157, negated_conjecture, ~((![X378:$i, X379:$i]:((![X380:$i]:(((in @ X380 @ X378)<=>(in @ X380 @ X379)))=>((X378)=(X379))))=>(![X381:$i]:(~(in @ X381 @ emptyset))=>(![X382:$i, X383:$i, X384:$i]:(((in @ X384 @ (setadjoin @ X382 @ X383))<=>(((X384)=(X382))|(in @ X384 @ X383))))=>(![X385:$i, X386:$i]:(((in @ X386 @ (powerset @ X385))<=>![X387:$i]:(((in @ X387 @ X386)=>(in @ X387 @ X385)))))=>(![X388:$i, X389:$i]:(((in @ X389 @ (setunion @ X388))<=>?[X390:$i]:(((in @ X389 @ X390)&(in @ X390 @ X388)))))=>((in @ emptyset @ omega)=>(![X391:$i]:(((in @ X391 @ omega)=>(in @ (setadjoin @ X391 @ X391) @ omega)))=>(![X392:$i]:((((in @ emptyset @ X392)&![X393:$i]:((((in @ X393 @ omega)&(in @ X393 @ X392))=>(in @ (setadjoin @ X393 @ X393) @ X392))))=>![X394:$i]:(((in @ X394 @ omega)=>(in @ X394 @ X392)))))=>(![X395:$i > $i > $o, X396:$i]:((![X397:$i]:(((in @ X397 @ X396)=>(exu @ (X395 @ X397))))=>?[X398:$i]:(![X399:$i]:(((in @ X399 @ X398)<=>?[X400:$i]:(((in @ X400 @ X396)&(X395 @ X400 @ X399))))))))=>(![X401:$i]:((?[X402:$i]:((in @ X402 @ X401))=>?[X403:$i]:(((in @ X403 @ X401)&~(?[X404:$i]:(((in @ X404 @ X403)&(in @ X404 @ X401))))))))=>((epred1_0)=>(![X424:$i > $o]:(((exu @ X424)=>(X424 @ (descr @ (^[Z0:$i]:(X424 @ Z0))))))=>(![X425:$i, X426:$i > $o, X427:$i]:(((in @ X427 @ X425)=>((X426 @ X427)=>(in @ X427 @ (dsetconstr @ X425 @ X426)))))=>(![X428:$i, X429:$i > $o, X430:$i]:(((in @ X430 @ (dsetconstr @ X428 @ X429))=>(in @ X430 @ X428)))=>(![X431:$i, X432:$i > $o, X433:$i]:(((in @ X433 @ (dsetconstr @ X431 @ X432))=>(X432 @ X433)))=>(![X434:$i > $o]:(((exu @ X434)=>?[X435:$i]:(((X434 @ X435)&![X436:$i]:(((X434 @ X436)=>((X435)=(X436))))))))=>(![X437:$o, X438:$i]:(((in @ X438 @ (prop2set @ ((X437))))=>(X437)))=>(![X439:$i]:(((in @ X439 @ emptyset)=>![X440:$o]:((X440))))=>(![X441:$i]:(((in @ X441 @ emptyset)=>~($true)))=>(![X442:$i]:(~(in @ X442 @ emptyset))=>(![X443:$i > $o]:(((exu @ X443)=>?[X444:$i]:((X443 @ X444))))=>(![X445:$i, X446:$i]:((![X447:$i]:(((in @ X447 @ X445)=>(in @ X447 @ X446)))=>(![X448:$i]:(((in @ X448 @ X446)=>(in @ X448 @ X445)))=>((X445)=(X446)))))=>(![X449:$i]:((![X450:$i]:(~(in @ X450 @ X449))=>((X449)=(emptyset))))=>(![X451:$i]:((![X452:$i]:(~(in @ X452 @ X451))=>((X451)=(emptyset))))=>(![X453:$i, X454:$i > $o, X455:$i]:(((in @ X455 @ X453)=>((in @ X455 @ (dsetconstr @ X453 @ X454))<=>(X454 @ X455))))=>(![X456:$i]:(((nonempty @ X456)=>?[X457:$i]:((in @ X457 @ X456))))=>(![X458:$i, X459:$i > $o, X460:$i]:(((in @ X460 @ X458)=>((X459 @ X460)=>(nonempty @ (dsetconstr @ X458 @ X459)))))=>(![X461:$i]:((?[X462:$i]:((in @ X462 @ X461))=>(nonempty @ X461)))=>(![X463:$i, X464:$i]:((in @ X463 @ (setadjoin @ X463 @ X464)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X465:$i, X466:$i, X467:$i]:(((in @ X467 @ X466)=>(in @ X467 @ (setadjoin @ X465 @ X466))))=>(![X468:$i, X469:$i, X470:$i]:(((in @ X470 @ (setadjoin @ X468 @ X469))=>![X471:$o]:(((((X470)=(X468))=>(X471))=>(((in @ X470 @ X469)=>(X471))=>(X471))))))=>(![X472:$i, X473:$i, X474:$i]:(((in @ X474 @ (setadjoin @ X472 @ X473))=>(((X474)=(X472))|(in @ X474 @ X473))))=>(![X475:$i]:(((dsetconstr @ X475 @ (^[Z0:$i]:($true)))=(X475)))=>(![X476:$i, X477:$i]:((![X478:$i]:(((in @ X478 @ X477)=>(in @ X478 @ X476)))=>(in @ X477 @ (powerset @ X476))))=>(![X479:$i]:((in @ emptyset @ (powerset @ X479)))=>(![X480:$i]:((in @ emptyset @ (powerset @ X480)))=>(![X481:$i, X482:$i, X483:$i]:(((in @ X482 @ (powerset @ X481))=>((in @ X483 @ X482)=>(in @ X483 @ X481))))=>(![X484:$i, X485:$i, X486:$i]:(((in @ X485 @ X486)=>((in @ X486 @ X484)=>(in @ X485 @ (setunion @ X484)))))=>(![X487:$i, X488:$i]:(((in @ X488 @ (setunion @ X487))=>![X489:$o]:((![X490:$i]:(((in @ X488 @ X490)=>((in @ X490 @ X487)=>(X489))))=>(X489)))))=>(![X491:$i, X492:$i]:(((in @ X492 @ X491)=>(in @ X492 @ (powerset @ (setunion @ X491)))))=>(![X493:$i > $o]:(((exu @ X493)=>?[X494:$i]:(![X495:$i]:(((X493 @ X495)<=>((X495)=(X494)))))))=>(![X496:$i]:(((nonempty @ X496)=>?[X497:$i]:(((in @ X497 @ X496)&$true))))=>(![X498:$i, X499:$i]:(((in @ X498 @ (setadjoin @ X499 @ emptyset))=>((X498)=(X499))))=>(![X500:$i, X501:$i]:((((X500)!=(X501))=>~(in @ X501 @ (setadjoin @ X500 @ emptyset))))=>(![X502:$i, X503:$i]:((((X502)=(X503))=>(in @ X502 @ (setadjoin @ X503 @ emptyset))))=>(![X504:$i, X505:$i]:(((in @ X504 @ (setadjoin @ X505 @ emptyset))=>(in @ X505 @ (setadjoin @ X504 @ emptyset))))=>(![X506:$i, X507:$i, X508:$i]:(((in @ X508 @ (setadjoin @ X506 @ (setadjoin @ X507 @ emptyset)))=>(((X508)=(X506))|((X508)=(X507)))))=>(![X509:$i, X510:$i]:((in @ X509 @ (setadjoin @ X509 @ (setadjoin @ X510 @ emptyset))))=>(![X511:$i, X512:$i]:((in @ X512 @ (setadjoin @ X511 @ (setadjoin @ X512 @ emptyset))))=>(![X513:$i, X514:$i > $o]:((?[X515:$i]:(((in @ X515 @ X513)&(X514 @ X515)))=>(((dsetconstr @ X513 @ X514)=(emptyset))=>~($true))))=>(![X516:$i > $o, X517:$i]:(((in @ X517 @ emptyset)=>(X516 @ X517)))=>(![X518:$i, X519:$i > $o]:((~(![X520:$i]:(((in @ X520 @ X518)=>(X519 @ X520))))=>?[X521:$i]:(((in @ X521 @ X518)&~((X519 @ X521))))))=>(![X522:$i, X523:$i > $o]:((![X524:$i]:(((in @ X524 @ X522)=>~((X523 @ X524))))=>~(?[X525:$i]:(((in @ X525 @ X522)&(X523 @ X525))))))=>(![X526:$i, X527:$i > $o]:((~(?[X528:$i]:(((in @ X528 @ X526)&(X527 @ X528))))=>![X529:$i]:(((in @ X529 @ X526)=>~((X527 @ X529))))))=>(![X530:$i, X531:$i > $o]:((?[X532:$i]:(((in @ X532 @ X530)&~((X531 @ X532))))=>~(![X533:$i]:(((in @ X533 @ X530)=>(X531 @ X533))))))=>(![X534:$o]:(((X534)=>(in @ emptyset @ (prop2set @ ((X534))))))=>((prop2set2propI)=>(![X535:$i, X536:$i > $o]:((~(?[X537:$i]:(((in @ X537 @ X535)&(X536 @ X537))))=>![X538:$i]:(((in @ X538 @ X535)=>~((X536 @ X538))))))=>(![X539:$i, X540:$i > $o]:((~(![X541:$i]:(((in @ X541 @ X539)=>(X540 @ X541))))=>?[X542:$i]:(((in @ X542 @ X539)&~((X540 @ X542))))))=>(![X543:$i > $o]:((?[X544:$i]:(((X543 @ X544)&![X545:$i]:(((X543 @ X545)=>((X544)=(X545))))))=>(exu @ X543)))=>(![X546:$i > $o]:((?[X547:$i]:((X546 @ X547))=>(![X548:$i, X549:$i]:(((X546 @ X548)=>((X546 @ X549)=>((X548)=(X549)))))=>(exu @ X546))))=>(![X550:$i > $o]:((?[X551:$i]:(![X552:$i]:(((X550 @ X552)<=>((X552)=(X551)))))=>(exu @ X550)))=>(![X553:$i, X554:$i]:((((X553)=(X554))=>![X555:$i, X556:$i]:((((X555)=(X556))=>((in @ X555 @ X553)=>(in @ X556 @ X554))))))=>(![X557:$i, X558:$i]:((((X557)=(X558))=>![X559:$i, X560:$i]:((((X559)=(X560))=>((in @ X559 @ X557)<=>(in @ X560 @ X558))))))=>(![X561:$i > $o]:(((exu @ X561)=>![X562:$i, X563:$i]:(((X561 @ X562)=>((X561 @ X563)=>((X562)=(X563)))))))=>(![X564:$i > $o, X565:$i > $o]:((![X566:$i, X567:$i]:((((X566)=(X567))=>((X564 @ X566)<=>(X565 @ X567))))=>((exu @ X564)<=>(exu @ X565))))=>(((emptyset)=(emptyset))=>(![X568:$i, X569:$i]:((((X568)=(X569))=>![X570:$i, X571:$i]:((((X570)=(X571))=>((setadjoin @ X568 @ X570)=(setadjoin @ X569 @ X571))))))=>(![X572:$i, X573:$i]:((((X572)=(X573))=>((powerset @ X572)=(powerset @ X573))))=>(![X574:$i, X575:$i]:((((X574)=(X575))=>((setunion @ X574)=(setunion @ X575))))=>(((omega)=(omega))=>(![X576:$i > $o]:(((exu @ X576)=>![X577:$i, X578:$i]:(((X576 @ X577)=>((X576 @ X578)=>((X577)=(X578)))))))=>(![X579:$i > $o, X580:$i > $o]:((![X581:$i, X582:$i]:((((X581)=(X582))=>((X579 @ X581)<=>(X580 @ X582))))=>((exu @ X579)=>((exu @ X580)=>((descr @ X579)=(descr @ X580))))))=>(![X583:$i, X584:$i]:((((X583)=(X584))=>![X585:$i > $o, X586:$i > $o]:((![X587:$i]:(((in @ X587 @ X583)=>![X588:$i]:(((in @ X588 @ X584)=>(((X587)=(X588))=>((X585 @ X587)<=>(X586 @ X588)))))))=>((dsetconstr @ X583 @ X585)=(dsetconstr @ X584 @ X586))))))=>(![X589:$i, X590:$i]:((![X591:$i]:(((in @ X591 @ X589)=>(in @ X591 @ X590)))=>(subset @ X589 @ X590)))=>(![X592:$i, X593:$i]:((((X592)=(X593))=>(subset @ X593 @ X592)))=>(![X594:$i, X595:$i]:((((X594)=(X595))=>(subset @ X594 @ X595)))=>(![X596:$i, X597:$i]:((![X598:$i]:(((in @ X598 @ X596)=>(in @ X598 @ X597)))=>(subset @ X596 @ X597)))=>(![X599:$i]:((subset @ emptyset @ X599))=>(![X600:$i, X601:$i, X602:$i]:(((subset @ X600 @ X601)=>((in @ X602 @ X600)=>(in @ X602 @ X601))))=>(![X603:$i, X604:$i, X605:$i]:(((subset @ X603 @ X604)=>(~(in @ X605 @ X604)=>~(in @ X605 @ X603))))=>(![X606:$i, X607:$i, X608:$i]:(((in @ X608 @ X606)=>(~(in @ X608 @ X607)=>~(subset @ X606 @ X607))))=>(![X609:$i, X610:$i]:((~(subset @ X609 @ X610)=>((X609)!=(X610))))=>(![X611:$i, X612:$i, X613:$i]:(((in @ X613 @ X611)=>(~(in @ X613 @ X612)=>((X611)!=(X612)))))=>(![X614:$i]:((subset @ X614 @ X614))=>(![X615:$i, X616:$i, X617:$i]:(((subset @ X615 @ X616)=>((subset @ X616 @ X617)=>(subset @ X615 @ X617))))=>(![X618:$i, X619:$i]:((subset @ X619 @ (setadjoin @ X618 @ X619)))=>(![X620:$i, X621:$i, X622:$i]:(((subset @ X620 @ X622)=>(subset @ X620 @ (setadjoin @ X621 @ X622))))=>(![X623:$i, X624:$i]:(((subset @ X623 @ X624)=>(in @ X623 @ (powerset @ X624))))=>(![X625:$i, X626:$i]:(((subset @ X625 @ X626)=>((subset @ X626 @ X625)=>((X625)=(X626)))))=>(![X627:$i]:(((subset @ X627 @ emptyset)=>((X627)=(emptyset))))=>(![X628:$i, X629:$i]:(((subset @ X629 @ X628)=>(in @ X629 @ (powerset @ X628))))=>(![X630:$i, X631:$i]:(((in @ X631 @ (powerset @ X630))=>(subset @ X631 @ X630)))=>(![X632:$i]:((in @ X632 @ (powerset @ X632)))=>(![X633:$i, X634:$i]:(((subset @ X633 @ X634)=>(subset @ (powerset @ X633) @ (powerset @ X634))))=>(![X635:$i, X636:$i > $o]:((in @ (dsetconstr @ X635 @ X636) @ (powerset @ X635)))=>(![X637:$i, X638:$i > $o]:((subset @ (dsetconstr @ X637 @ X638) @ X637))=>(![X639:$i, X640:$i, X641:$i]:(((in @ X641 @ X639)=>(in @ X641 @ (binunion @ X639 @ X640))))=>(![X642:$i, X643:$i]:((in @ X643 @ (setadjoin @ X642 @ (setadjoin @ X643 @ emptyset))))=>(![X644:$i, X645:$i, X646:$i]:(((in @ X646 @ X645)=>(in @ X646 @ (binunion @ X644 @ X645))))=>(![X647:$i, X648:$i, X649:$i, X650:$o]:(((in @ X649 @ (binunion @ X647 @ X648))=>(((in @ X649 @ X647)=>(X650))=>(((in @ X649 @ X648)=>(X650))=>(X650)))))=>(![X651:$i, X652:$i, X653:$i]:(((in @ X653 @ (binunion @ X651 @ X652))=>((in @ X653 @ X651)|(in @ X653 @ X652))))=>(![X654:$i, X655:$i]:((subset @ X654 @ (binunion @ X654 @ X655)))=>(![X656:$i, X657:$i]:((subset @ X657 @ (binunion @ X656 @ X657)))=>(![X658:$i, X659:$i, X660:$i]:(((in @ X660 @ X658)=>((in @ X660 @ X659)=>(in @ X660 @ (binintersect @ X658 @ X659)))))=>(![X661:$i, X662:$i, X663:$i]:(((subset @ X663 @ X661)=>((subset @ X663 @ X662)=>(subset @ X663 @ (binintersect @ X661 @ X662)))))=>(![X664:$i, X665:$i, X666:$i]:(((in @ X666 @ (binintersect @ X664 @ X665))=>(in @ X666 @ X664)))=>(![X667:$i, X668:$i]:((subset @ (binintersect @ X667 @ X668) @ X667))=>(![X669:$i, X670:$i]:(((subset @ X669 @ X670)=>((binintersect @ X669 @ X670)=(X669))))=>(![X671:$i, X672:$i]:((((binintersect @ X671 @ X672)=(X672))=>(subset @ X672 @ X671)))=>(![X673:$i, X674:$i, X675:$i]:(((in @ X675 @ (binintersect @ X673 @ X674))=>(in @ X675 @ X674)))=>(![X676:$i, X677:$i]:((~(?[X678:$i]:(((in @ X678 @ X676)&(in @ X678 @ X677))))=>((binintersect @ X676 @ X677)=(emptyset))))=>(![X679:$i, X680:$i]:((subset @ (binintersect @ X679 @ X680) @ X680))=>(![X681:$i, X682:$i]:(((subset @ X682 @ X681)=>((binintersect @ X681 @ X682)=(X682))))=>(![X683:$i, X684:$i]:((((binintersect @ X683 @ X684)=(X683))=>(subset @ X683 @ X684)))=>(![X685:$i, X686:$i, X687:$i]:(((binintersect @ X685 @ (binunion @ X686 @ X687))=(binunion @ (binintersect @ X685 @ X686) @ (binintersect @ X685 @ X687))))=>(![X688:$i, X689:$i, X690:$i]:(((in @ X690 @ X688)=>(~(in @ X690 @ X689)=>(in @ X690 @ (setminus @ X688 @ X689)))))=>(![X691:$i, X692:$i, X693:$i]:(((in @ X693 @ (setminus @ X691 @ X692))=>(in @ X693 @ X691)))=>(![X694:$i, X695:$i, X696:$i]:(((in @ X696 @ (setminus @ X694 @ X695))=>~(in @ X696 @ X695)))=>(![X697:$i, X698:$i]:(((subset @ X697 @ X698)=>((setminus @ X697 @ X698)=(emptyset))))=>(![X699:$i, X700:$i, X701:$i]:((~(in @ X701 @ (setminus @ X699 @ X700))=>((in @ X701 @ X699)=>(in @ X701 @ X700))))=>(![X702:$i, X703:$i, X704:$i]:((~(in @ X704 @ (setminus @ X702 @ X703))=>(~(in @ X704 @ X703)=>~(in @ X704 @ X702))))=>(![X705:$i, X706:$i, X707:$i]:((~(in @ X707 @ X705)=>~(in @ X707 @ (setminus @ X705 @ X706))))=>(![X708:$i, X709:$i, X710:$i]:(((in @ X710 @ X709)=>~(in @ X710 @ (setminus @ X708 @ X709))))=>(![X711:$i, X712:$i]:((subset @ (setminus @ X711 @ X712) @ X711))=>(![X713:$i, X714:$i]:((((setminus @ X713 @ X714)=(emptyset))=>(subset @ X713 @ X714)))=>(![X715:$i, X716:$i, X717:$i]:(((in @ X717 @ (symdiff @ X715 @ X716))=>![X718:$o]:((((in @ X717 @ X715)=>(~(in @ X717 @ X716)=>(X718)))=>((~(in @ X717 @ X715)=>((in @ X717 @ X716)=>(X718)))=>(X718))))))=>(![X719:$i, X720:$i, X721:$i]:(((in @ X721 @ X719)=>(~(in @ X721 @ X720)=>(in @ X721 @ (symdiff @ X719 @ X720)))))=>(![X722:$i, X723:$i, X724:$i]:((~(in @ X724 @ X722)=>((in @ X724 @ X723)=>(in @ X724 @ (symdiff @ X722 @ X723)))))=>(![X725:$i, X726:$i, X727:$i]:(((in @ X727 @ X725)=>((in @ X727 @ X726)=>~(in @ X727 @ (symdiff @ X725 @ X726)))))=>(![X728:$i, X729:$i, X730:$i]:((~(in @ X730 @ X728)=>(~(in @ X730 @ X729)=>~(in @ X730 @ (symdiff @ X728 @ X729)))))=>(![X731:$i, X732:$i]:((in @ X732 @ (setadjoin @ X731 @ (setadjoin @ X732 @ emptyset))))=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_133, binintersectEL]), binintersectI]), binintersectSubset5]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), c_0_134]), disjointsetsI1]), nonemptyE1]), binintersectRsub]), c_0_135]), binintersectSubset4]), noeltsimpempty]), binintersectSubset1]), emptyI]), bs114d]), setext]), setminusI]), c_0_136]), setminusEL]), nonemptyI1]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair]), powersetI]), c_0_137]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), emptyinPowerset]), nonemptyImpWitness]), c_0_138]), subPowSU]), setunionE]), setunionI]), powersetE]), emptyInPowerset]), uniqinunit]), eqimpsubset1]), notequalI2]), subsetemptysetimpeq]), setextsub]), subset2powerset]), setadjoinSub2]), c_0_139]), upairsetIR]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), notinsingleton]), vacuousDall]), notdallE]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), c_0_140]), emptyset__Cong]), c_0_141]), c_0_142]), in__Cong]), inCongP]), c_0_143]), c_0_144]), setadjoin__Cong]), subsetI1]), c_0_145]), c_0_146]), c_0_147]), omega__Cong]), setunion__Cong]), powerset__Cong]), eqimpsubset2]), notequalI1]), notsubsetI]), subsetE2]), subsetE]), emptysetsubset]), subsetI2]), setadjoinSub]), subsetTrans]), subsetRefl]), powersetI1]), upairset2IR]), binunionIL]), c_0_148]), c_0_149]), powersetsubset]), inPowerset]), powersetE1]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binunionIR]), notinemptyset]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_150]), c_0_151]), c_0_152]), c_0_153]), c_0_154]), wellorderingAx]), foundationAx]), c_0_155]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_156])).
% 0.95/0.49 thf(c_0_158, negated_conjecture, ![X733:$i, X734:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X741:$i, X742:$i, X743:$i, X744:$i, X746:$i, X747:$i, X749:$i, X750:$i, X751:$i, X752:$i, X753:$i, X755:$i, X756:$i > $i > $o, X757:$i, X760:$i, X762:$i, X763:$i, X764:$i, X765:$i, X767:$i, X768:$i > $o, X769:$i, X770:$i > $o, X771:$i, X772:$i, X773:$i > $o, X774:$i, X775:$i, X776:$i > $o, X777:$i, X778:$i > $o, X780:$i, X781:$o, X782:$i, X783:$i, X784:$o, X785:$i, X786:$i, X787:$i > $o, X789:$i, X790:$i, X793:$i, X795:$i, X797:$i, X798:$i > $o, X799:$i, X800:$i, X802:$i, X803:$i > $o, X804:$i, X805:$i, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$i, X812:$i, X813:$i, X814:$i, X815:$o, X816:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i, X823:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$o, X835:$i, X836:$i, X837:$i > $o, X839:$i, X840:$i, X841:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$i, X857:$i, X858:$i, X859:$i > $o, X860:$i, X861:$i > $o, X862:$i, X863:$i, X864:$i > $o, X865:$i, X867:$i, X868:$i > $o, X870:$i, X871:$i, X872:$i > $o, X874:$i, X875:$i, X876:$i > $o, X877:$i, X879:$o, X880:$i, X881:$i > $o, X883:$i, X884:$i, X885:$i > $o, X886:$i, X888:$i > $o, X889:$i, X891:$i > $o, X892:$i, X895:$i > $o, X896:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i, X906:$i > $o, X907:$i, X908:$i, X909:$i > $o, X910:$i > $o, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X919:$i, X920:$i, X921:$i > $o, X922:$i, X923:$i, X924:$i > $o, X925:$i > $o, X928:$i, X929:$i, X930:$i > $o, X931:$i > $o, X934:$i, X935:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X944:$i, X945:$i, X946:$i, X947:$i, X948:$i, X949:$i, X950:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$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, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i > $o, X982:$i, X983:$i > $o, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$o, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$i, X1022:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$o, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i, 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X1015)=(X1014)))&((((binintersect @ X1016 @ X1017)!=(X1017))|(subset @ X1017 @ X1016))&((~(in @ X1020 @ (binintersect @ X1018 @ X1019))|(in @ X1020 @ X1019))&((((in @ (esk38_2 @ X1021 @ X1022) @ X1021)|((binintersect @ X1021 @ X1022)=(emptyset)))&((in @ (esk38_2 @ X1021 @ X1022) @ X1022)|((binintersect @ X1021 @ X1022)=(emptyset))))&((subset @ (binintersect @ X1024 @ X1025) @ X1025)&((~(subset @ X1027 @ X1026)|((binintersect @ X1026 @ X1027)=(X1027)))&((((binintersect @ X1028 @ X1029)!=(X1028))|(subset @ X1028 @ X1029))&(((binintersect @ X1030 @ (binunion @ X1031 @ X1032))=(binunion @ (binintersect @ X1030 @ X1031) @ (binintersect @ X1030 @ X1032)))&((~(in @ X1035 @ X1033)|((in @ X1035 @ X1034)|(in @ X1035 @ (setminus @ X1033 @ X1034))))&((~(in @ X1038 @ (setminus @ X1036 @ X1037))|(in @ X1038 @ X1036))&((~(in @ X1041 @ (setminus @ X1039 @ X1040))|~(in @ X1041 @ X1040))&((~(subset @ X1042 @ X1043)|((setminus @ X1042 @ X1043)=(emptyset)))&(((in @ X1046 @ (setminus @ X1044 @ X1045))|(~(in @ X1046 @ X1044)|(in @ X1046 @ X1045)))&(((in @ X1049 @ (setminus @ X1047 @ X1048))|((in @ X1049 @ X1048)|~(in @ X1049 @ X1047)))&(((in @ X1052 @ X1050)|~(in @ X1052 @ (setminus @ X1050 @ X1051)))&((~(in @ X1055 @ X1054)|~(in @ X1055 @ (setminus @ X1053 @ X1054)))&((subset @ (setminus @ X1056 @ X1057) @ X1056)&((((setminus @ X1058 @ X1059)!=(emptyset))|(subset @ X1058 @ X1059))&((((~(in @ X1062 @ X1060)|(X1063)|(in @ X1062 @ X1060)|~(in @ X1062 @ (symdiff @ X1060 @ X1061)))&(((in @ X1062 @ X1061)|(X1063)|(in @ X1062 @ X1060)|~(in @ X1062 @ (symdiff @ X1060 @ X1061)))&(~(X1063)|(X1063)|(in @ X1062 @ X1060)|~(in @ X1062 @ (symdiff @ X1060 @ X1061)))))&(((~(in @ X1062 @ X1060)|(X1063)|~(in @ X1062 @ X1061)|~(in @ X1062 @ (symdiff @ X1060 @ X1061)))&(((in @ X1062 @ X1061)|(X1063)|~(in @ X1062 @ X1061)|~(in @ X1062 @ (symdiff @ X1060 @ X1061)))&(~(X1063)|(X1063)|~(in @ X1062 @ X1061)|~(in @ X1062 @ (symdiff @ X1060 @ X1061)))))&((~(in @ X1062 @ X1060)|(X1063)|~(X1063)|~(in @ X1062 @ (symdiff @ X1060 @ X1061)))&(((in @ X1062 @ X1061)|(X1063)|~(X1063)|~(in @ X1062 @ (symdiff @ X1060 @ X1061)))&(~(X1063)|(X1063)|~(X1063)|~(in @ X1062 @ (symdiff @ X1060 @ X1061)))))))&((~(in @ X1066 @ X1064)|((in @ X1066 @ X1065)|(in @ X1066 @ (symdiff @ X1064 @ X1065))))&(((in @ X1069 @ X1067)|(~(in @ X1069 @ X1068)|(in @ X1069 @ (symdiff @ X1067 @ X1068))))&((~(in @ X1072 @ X1070)|(~(in @ X1072 @ X1071)|~(in @ X1072 @ (symdiff @ X1070 @ X1071))))&(((in @ X1075 @ X1073)|((in @ X1075 @ X1074)|~(in @ X1075 @ (symdiff @ X1073 @ X1074))))&((in @ X1077 @ (setadjoin @ X1076 @ (setadjoin @ X1077 @ emptyset)))&~(in @ esk39_0 @ (setunion @ (setadjoin @ (setadjoin @ esk39_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk39_0 @ (setadjoin @ esk40_0 @ emptyset)) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_157])])])])])])])).
% 0.95/0.49 thf(c_0_159, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ (setunion @ X4))|~((in @ X2 @ X3))|~((in @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_158])).
% 0.95/0.49 thf(c_0_160, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_158])).
% 0.95/0.49 thf(c_0_161, negated_conjecture, ~((in @ esk39_0 @ (setunion @ (setadjoin @ (setadjoin @ esk39_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk39_0 @ (setadjoin @ esk40_0 @ emptyset)) @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_158])).
% 0.95/0.49 thf(c_0_162, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setunion @ (setadjoin @ X3 @ X4)))|~((in @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_159, c_0_160])).
% 0.95/0.49 thf(c_0_163, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_162]), c_0_160])]), ['proof']).
% 0.95/0.49 % SZS output end CNFRefutation
% 0.95/0.49 % Parsed axioms : 291
% 0.95/0.49 % Removed by relevancy pruning/SinE : 158
% 0.95/0.49 % Initial clauses : 213
% 0.95/0.49 % Removed in clause preprocessing : 25
% 0.95/0.49 % Initial clauses in saturation : 188
% 0.95/0.49 % Processed clauses : 2961
% 0.95/0.49 % ...of these trivial : 99
% 0.95/0.49 % ...subsumed : 2104
% 0.95/0.49 % ...remaining for further processing : 758
% 0.95/0.49 % Other redundant clauses eliminated : 69
% 0.95/0.49 % Clauses deleted for lack of memory : 0
% 0.95/0.49 % Backward-subsumed : 84
% 0.95/0.49 % Backward-rewritten : 9
% 0.95/0.49 % Generated clauses : 18773
% 0.95/0.49 % ...of the previous two non-redundant : 15721
% 0.95/0.49 % ...aggressively subsumed : 0
% 0.95/0.49 % Contextual simplify-reflections : 1
% 0.95/0.49 % Paramodulations : 18696
% 0.95/0.49 % Factorizations : 8
% 0.95/0.49 % NegExts : 0
% 0.95/0.49 % Equation resolutions : 69
% 0.95/0.49 % Disequality decompositions : 0
% 0.95/0.49 % Total rewrite steps : 3728
% 0.95/0.49 % ...of those cached : 3504
% 0.95/0.49 % Propositional unsat checks : 0
% 0.95/0.49 % Propositional check models : 0
% 0.95/0.49 % Propositional check unsatisfiable : 0
% 0.95/0.49 % Propositional clauses : 0
% 0.95/0.49 % Propositional clauses after purity: 0
% 0.95/0.49 % Propositional unsat core size : 0
% 0.95/0.49 % Propositional preprocessing time : 0.000
% 0.95/0.49 % Propositional encoding time : 0.000
% 0.95/0.49 % Propositional solver time : 0.000
% 0.95/0.49 % Success case prop preproc time : 0.000
% 0.95/0.49 % Success case prop encoding time : 0.000
% 0.95/0.49 % Success case prop solver time : 0.000
% 0.95/0.49 % Current number of processed clauses : 654
% 0.95/0.49 % Positive orientable unit clauses : 123
% 0.95/0.49 % Positive unorientable unit clauses: 0
% 0.95/0.49 % Negative unit clauses : 5
% 0.95/0.49 % Non-unit-clauses : 526
% 0.95/0.49 % Current number of unprocessed clauses: 12460
% 0.95/0.49 % ...number of literals in the above : 37086
% 0.95/0.49 % Current number of archived formulas : 0
% 0.95/0.49 % Current number of archived clauses : 93
% 0.95/0.49 % Clause-clause subsumption calls (NU) : 38137
% 0.95/0.49 % Rec. Clause-clause subsumption calls : 33297
% 0.95/0.49 % Non-unit clause-clause subsumptions : 1907
% 0.95/0.49 % Unit Clause-clause subsumption calls : 179
% 0.95/0.49 % Rewrite failures with RHS unbound : 0
% 0.95/0.49 % BW rewrite match attempts : 185
% 0.95/0.49 % BW rewrite match successes : 5
% 0.95/0.49 % Condensation attempts : 0
% 0.95/0.49 % Condensation successes : 0
% 0.95/0.49 % Termbank termtop insertions : 221772
% 0.95/0.49 % Search garbage collected termcells : 11756
% 0.95/0.49
% 0.95/0.49 % -------------------------------------------------
% 0.95/0.49 % User time : 0.187 s
% 0.95/0.49 % System time : 0.015 s
% 0.95/0.49 % Total time : 0.201 s
% 0.95/0.49 % Maximum resident set size: 6740 pages
% 0.95/0.49
% 0.95/0.49 % -------------------------------------------------
% 0.95/0.49 % User time : 0.194 s
% 0.95/0.49 % System time : 0.021 s
% 0.95/0.49 % Total time : 0.215 s
% 0.95/0.49 % Maximum resident set size: 4864 pages
% 0.95/0.49 % E exiting
%------------------------------------------------------------------------------