%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU612^1 : 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 : n009.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 08:26:55 AM UTC 2026
% Result : Theorem 47.48s 8.29s
% Output : CNFRefutation 47.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU612^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n009.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 13:58:09 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.24 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.jmGZnmyijD/E---3.1_4042471.p
% 47.48/8.29 % Version: 3.5.1-ho
% 47.48/8.29 % Preprocessing class: HSLMSLSSLLLCHFA.
% 47.48/8.29 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 47.48/8.29 % Starting ehoh_best5 with 300s (1) cores
% 47.48/8.29 % Starting almost_fo_3_lam with 300s (1) cores
% 47.48/8.29 % Starting new_bool_5 with 300s (1) cores
% 47.48/8.29 % Starting pre_casc_3 with 300s (1) cores
% 47.48/8.29 % Starting ho_unfolding_8 with 300s (1) cores
% 47.48/8.29 % Starting new_ho_10_cnf2 with 300s (1) cores
% 47.48/8.29 % Starting new_bool_3 with 300s (1) cores
% 47.48/8.29 % Starting new_ho_5 with 300s (1) cores
% 47.48/8.29 % new_ho_5 with pid 4042491 completed with status 9
% 47.48/8.29 % new_bool_5 with pid 4042486 completed with status 0
% 47.48/8.29 % Result found by new_bool_5
% 47.48/8.29 % Preprocessing class: HSLMSLSSLLLCHFA.
% 47.48/8.29 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 47.48/8.29 % Starting ehoh_best5 with 300s (1) cores
% 47.48/8.29 % Starting almost_fo_3_lam with 300s (1) cores
% 47.48/8.29 % Starting new_bool_5 with 300s (1) cores
% 47.48/8.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 47.48/8.29 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 47.48/8.29 % Search class: HGHSM-FSLM31-SHFMMSBN
% 47.48/8.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 47.48/8.29 % Starting SubtermCWHack with 28s (1) cores
% 47.48/8.29 % SubtermCWHack with pid 4042497 completed with status 0
% 47.48/8.29 % Result found by SubtermCWHack
% 47.48/8.29 % Preprocessing class: HSLMSLSSLLLCHFA.
% 47.48/8.29 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 47.48/8.29 % Starting ehoh_best5 with 300s (1) cores
% 47.48/8.29 % Starting almost_fo_3_lam with 300s (1) cores
% 47.48/8.29 % Starting new_bool_5 with 300s (1) cores
% 47.48/8.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 47.48/8.29 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 47.48/8.29 % Search class: HGHSM-FSLM31-SHFMMSBN
% 47.48/8.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 47.48/8.29 % Starting SubtermCWHack with 28s (1) cores
% 47.48/8.29 % Preprocessing time : 0.004 s
% 47.48/8.29
% 47.48/8.29 % Proof found!
% 47.48/8.29 % SZS status Theorem
% 47.48/8.29 % SZS output start CNFRefutation
% 47.48/8.29 thf(decl_23, type, in: $i > $i > $o).
% 47.48/8.29 thf(decl_24, type, exu: ($i > $o) > $o).
% 47.48/8.29 thf(decl_25, type, setextAx: $o).
% 47.48/8.29 thf(decl_26, type, emptyset: $i).
% 47.48/8.29 thf(decl_27, type, emptysetAx: $o).
% 47.48/8.29 thf(decl_28, type, setadjoin: $i > $i > $i).
% 47.48/8.29 thf(decl_29, type, setadjoinAx: $o).
% 47.48/8.29 thf(decl_30, type, powerset: $i > $i).
% 47.48/8.29 thf(decl_31, type, powersetAx: $o).
% 47.48/8.29 thf(decl_32, type, setunion: $i > $i).
% 47.48/8.29 thf(decl_33, type, setunionAx: $o).
% 47.48/8.29 thf(decl_34, type, omega: $i).
% 47.48/8.29 thf(decl_35, type, omega0Ax: $o).
% 47.48/8.29 thf(decl_36, type, omegaSAx: $o).
% 47.48/8.29 thf(decl_37, type, omegaIndAx: $o).
% 47.48/8.29 thf(decl_38, type, replAx: $o).
% 47.48/8.29 thf(decl_39, type, foundationAx: $o).
% 47.48/8.29 thf(decl_40, type, wellorderingAx: $o).
% 47.48/8.29 thf(decl_41, type, descr: ($i > $o) > $i).
% 47.48/8.29 thf(decl_42, type, descrp: $o).
% 47.48/8.29 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 47.48/8.29 thf(decl_44, type, dsetconstrI: $o).
% 47.48/8.29 thf(decl_45, type, dsetconstrEL: $o).
% 47.48/8.29 thf(decl_46, type, dsetconstrER: $o).
% 47.48/8.29 thf(decl_47, type, exuE1: $o).
% 47.48/8.29 thf(decl_48, type, prop2set: $o > $i).
% 47.48/8.29 thf(decl_49, type, prop2setE: $o).
% 47.48/8.29 thf(decl_50, type, emptysetE: $o).
% 47.48/8.29 thf(decl_51, type, emptysetimpfalse: $o).
% 47.48/8.29 thf(decl_52, type, notinemptyset: $o).
% 47.48/8.29 thf(decl_53, type, exuE3e: $o).
% 47.48/8.29 thf(decl_54, type, setext: $o).
% 47.48/8.29 thf(decl_55, type, emptyI: $o).
% 47.48/8.29 thf(decl_56, type, noeltsimpempty: $o).
% 47.48/8.29 thf(decl_57, type, setbeta: $o).
% 47.48/8.29 thf(decl_58, type, nonempty: $i > $o).
% 47.48/8.29 thf(decl_59, type, nonemptyE1: $o).
% 47.48/8.29 thf(decl_60, type, nonemptyI: $o).
% 47.48/8.29 thf(decl_61, type, nonemptyI1: $o).
% 47.48/8.29 thf(decl_62, type, setadjoinIL: $o).
% 47.48/8.29 thf(decl_63, type, emptyinunitempty: $o).
% 47.48/8.29 thf(decl_64, type, setadjoinIR: $o).
% 47.48/8.29 thf(decl_65, type, setadjoinE: $o).
% 47.48/8.29 thf(decl_66, type, setadjoinOr: $o).
% 47.48/8.29 thf(decl_67, type, setoftrueEq: $o).
% 47.48/8.29 thf(decl_68, type, powersetI: $o).
% 47.48/8.29 thf(decl_69, type, emptyinPowerset: $o).
% 47.48/8.29 thf(decl_70, type, emptyInPowerset: $o).
% 47.48/8.29 thf(decl_71, type, powersetE: $o).
% 47.48/8.29 thf(decl_72, type, setunionI: $o).
% 47.48/8.29 thf(decl_73, type, setunionE: $o).
% 47.48/8.29 thf(decl_74, type, subPowSU: $o).
% 47.48/8.29 thf(decl_75, type, exuE2: $o).
% 47.48/8.29 thf(decl_76, type, nonemptyImpWitness: $o).
% 47.48/8.29 thf(decl_77, type, uniqinunit: $o).
% 47.48/8.29 thf(decl_78, type, notinsingleton: $o).
% 47.48/8.29 thf(decl_79, type, eqinunit: $o).
% 47.48/8.29 thf(decl_80, type, singletonsswitch: $o).
% 47.48/8.29 thf(decl_81, type, upairsetE: $o).
% 47.48/8.29 thf(decl_82, type, upairsetIL: $o).
% 47.48/8.29 thf(decl_83, type, upairsetIR: $o).
% 47.48/8.29 thf(decl_84, type, emptyE1: $o).
% 47.48/8.29 thf(decl_85, type, vacuousDall: $o).
% 47.48/8.29 thf(decl_86, type, quantDeMorgan1: $o).
% 47.48/8.29 thf(decl_87, type, quantDeMorgan2: $o).
% 47.48/8.29 thf(decl_88, type, quantDeMorgan3: $o).
% 47.48/8.29 thf(decl_89, type, quantDeMorgan4: $o).
% 47.48/8.29 thf(decl_90, type, prop2setI: $o).
% 47.48/8.29 thf(decl_92, type, prop2set2propI: $o).
% 47.48/8.29 thf(decl_93, type, notdexE: $o).
% 47.48/8.29 thf(decl_94, type, notdallE: $o).
% 47.48/8.29 thf(decl_95, type, exuI1: $o).
% 47.48/8.29 thf(decl_96, type, exuI3: $o).
% 47.48/8.29 thf(decl_97, type, exuI2: $o).
% 47.48/8.29 thf(decl_98, type, inCongP: $o).
% 47.48/8.29 thf(decl_99, type, in__Cong: $o).
% 47.48/8.29 thf(decl_100, type, exuE3u: $o).
% 47.48/8.29 thf(decl_101, type, exu__Cong: $o).
% 47.48/8.29 thf(decl_102, type, emptyset__Cong: $o).
% 47.48/8.29 thf(decl_103, type, setadjoin__Cong: $o).
% 47.48/8.29 thf(decl_104, type, powerset__Cong: $o).
% 47.48/8.29 thf(decl_105, type, setunion__Cong: $o).
% 47.48/8.29 thf(decl_106, type, omega__Cong: $o).
% 47.48/8.29 thf(decl_107, type, exuEu: $o).
% 47.48/8.29 thf(decl_108, type, descr__Cong: $o).
% 47.48/8.29 thf(decl_109, type, dsetconstr__Cong: $o).
% 47.48/8.29 thf(decl_110, type, subset: $i > $i > $o).
% 47.48/8.29 thf(decl_113, type, subsetI1: $o).
% 47.48/8.29 thf(decl_114, type, eqimpsubset2: $o).
% 47.48/8.29 thf(decl_115, type, eqimpsubset1: $o).
% 47.48/8.29 thf(decl_116, type, subsetI2: $o).
% 47.48/8.29 thf(decl_117, type, emptysetsubset: $o).
% 47.48/8.29 thf(decl_118, type, subsetE: $o).
% 47.48/8.29 thf(decl_119, type, subsetE2: $o).
% 47.48/8.29 thf(decl_120, type, notsubsetI: $o).
% 47.48/8.29 thf(decl_121, type, notequalI1: $o).
% 47.48/8.29 thf(decl_122, type, notequalI2: $o).
% 47.48/8.29 thf(decl_123, type, subsetRefl: $o).
% 47.48/8.29 thf(decl_124, type, subsetTrans: $o).
% 47.48/8.29 thf(decl_125, type, setadjoinSub: $o).
% 47.48/8.29 thf(decl_126, type, setadjoinSub2: $o).
% 47.48/8.29 thf(decl_127, type, subset2powerset: $o).
% 47.48/8.29 thf(decl_128, type, setextsub: $o).
% 47.48/8.29 thf(decl_129, type, subsetemptysetimpeq: $o).
% 47.48/8.29 thf(decl_130, type, powersetI1: $o).
% 47.48/8.29 thf(decl_131, type, powersetE1: $o).
% 47.48/8.29 thf(decl_132, type, inPowerset: $o).
% 47.48/8.29 thf(decl_133, type, powersetsubset: $o).
% 47.48/8.29 thf(decl_134, type, sepInPowerset: $o).
% 47.48/8.29 thf(decl_135, type, sepSubset: $o).
% 47.48/8.29 thf(decl_136, type, binunion: $i > $i > $i).
% 47.48/8.29 thf(decl_137, type, binunionIL: $o).
% 47.48/8.29 thf(decl_138, type, upairset2IR: $o).
% 47.48/8.29 thf(decl_139, type, binunionIR: $o).
% 47.48/8.29 thf(decl_140, type, binunionEcases: $o).
% 47.48/8.29 thf(decl_141, type, binunionE: $o).
% 47.48/8.29 thf(decl_142, type, binunionLsub: $o).
% 47.48/8.29 thf(decl_143, type, binunionRsub: $o).
% 47.48/8.29 thf(decl_144, type, binintersect: $i > $i > $i).
% 47.48/8.29 thf(decl_145, type, binintersectI: $o).
% 47.48/8.29 thf(decl_146, type, binintersectSubset5: $o).
% 47.48/8.29 thf(decl_147, type, binintersectEL: $o).
% 47.48/8.29 thf(decl_148, type, binintersectLsub: $o).
% 47.48/8.29 thf(decl_149, type, binintersectSubset2: $o).
% 47.48/8.29 thf(decl_150, type, binintersectSubset3: $o).
% 47.48/8.29 thf(decl_151, type, binintersectER: $o).
% 47.48/8.29 thf(decl_152, type, disjointsetsI1: $o).
% 47.48/8.29 thf(decl_153, type, binintersectRsub: $o).
% 47.48/8.29 thf(decl_154, type, binintersectSubset4: $o).
% 47.48/8.29 thf(decl_155, type, binintersectSubset1: $o).
% 47.48/8.29 thf(decl_156, type, bs114d: $o).
% 47.48/8.29 thf(decl_158, type, setminus: $i > $i > $i).
% 47.48/8.29 thf(decl_159, type, setminusI: $o).
% 47.48/8.29 thf(decl_160, type, setminusEL: $o).
% 47.48/8.29 thf(decl_161, type, setminusER: $o).
% 47.48/8.29 thf(decl_162, type, setminusSubset2: $o).
% 47.48/8.29 thf(decl_163, type, setminusERneg: $o).
% 47.48/8.29 thf(decl_164, type, setminusELneg: $o).
% 47.48/8.29 thf(decl_165, type, setminusILneg: $o).
% 47.48/8.29 thf(decl_166, type, setminusIRneg: $o).
% 47.48/8.29 thf(decl_167, type, setminusLsub: $o).
% 47.48/8.29 thf(decl_168, type, setminusSubset1: $o).
% 47.48/8.29 thf(decl_169, type, symdiff: $i > $i > $i).
% 47.48/8.29 thf(decl_170, type, symdiffE: $o).
% 47.48/8.29 thf(decl_171, type, epred1_0: $o).
% 47.48/8.29 thf(decl_172, type, esk1_2: $i > $i > $i).
% 47.48/8.29 thf(decl_173, type, esk2_2: $i > $i > $i).
% 47.48/8.29 thf(decl_174, type, esk3_2: $i > $i > $i).
% 47.48/8.29 thf(decl_175, type, esk4_1: $i > $i).
% 47.48/8.29 thf(decl_176, type, esk5_2: ($i > $i > $o) > $i > $i).
% 47.48/8.29 thf(decl_177, type, esk6_2: ($i > $i > $o) > $i > $i).
% 47.48/8.29 thf(decl_178, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 47.48/8.29 thf(decl_179, type, esk8_1: $i > $i).
% 47.48/8.29 thf(decl_180, type, esk9_1: ($i > $o) > $i).
% 47.48/8.29 thf(decl_181, type, esk10_1: ($i > $o) > $i).
% 47.48/8.29 thf(decl_182, type, esk11_2: $i > $i > $i).
% 47.48/8.29 thf(decl_183, type, esk12_2: $i > $i > $i).
% 47.48/8.29 thf(decl_184, type, esk13_1: $i > $i).
% 47.48/8.29 thf(decl_185, type, esk14_1: $i > $i).
% 47.48/8.29 thf(decl_186, type, esk15_1: $i > $i).
% 47.48/8.29 thf(decl_187, type, esk16_2: $i > $i > $i).
% 47.48/8.29 thf(decl_188, type, esk17_3: $i > $i > $o > $i).
% 47.48/8.29 thf(decl_189, type, esk18_1: ($i > $o) > $i).
% 47.48/8.29 thf(decl_190, type, esk19_1: $i > $i).
% 47.48/8.29 thf(decl_191, type, esk20_2: $i > ($i > $o) > $i).
% 47.48/8.29 thf(decl_192, type, esk21_2: $i > ($i > $o) > $i).
% 47.48/8.29 thf(decl_193, type, esk22_2: $i > ($i > $o) > $i).
% 47.48/8.29 thf(decl_194, type, esk23_2: $i > ($i > $o) > $i).
% 47.48/8.29 thf(decl_195, type, esk24_2: $i > ($i > $o) > $i).
% 47.48/8.29 thf(decl_196, type, esk25_2: $i > ($i > $o) > $i).
% 47.48/8.29 thf(decl_197, type, esk26_2: ($i > $o) > $i > $i).
% 47.48/8.29 thf(decl_198, type, esk27_1: ($i > $o) > $i).
% 47.48/8.29 thf(decl_199, type, esk28_1: ($i > $o) > $i).
% 47.48/8.29 thf(decl_200, type, esk29_2: ($i > $o) > $i > $i).
% 47.48/8.29 thf(decl_201, type, esk30_2: ($i > $o) > ($i > $o) > $i).
% 47.48/8.29 thf(decl_202, type, esk31_2: ($i > $o) > ($i > $o) > $i).
% 47.48/8.29 thf(decl_203, type, esk32_2: ($i > $o) > ($i > $o) > $i).
% 47.48/8.29 thf(decl_204, type, esk33_2: ($i > $o) > ($i > $o) > $i).
% 47.48/8.29 thf(decl_205, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 47.48/8.29 thf(decl_206, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 47.48/8.29 thf(decl_207, type, esk36_2: $i > $i > $i).
% 47.48/8.29 thf(decl_208, type, esk37_2: $i > $i > $i).
% 47.48/8.29 thf(decl_209, type, esk38_2: $i > $i > $i).
% 47.48/8.29 thf(decl_210, type, esk39_0: $i).
% 47.48/8.29 thf(decl_211, type, esk40_0: $i).
% 47.48/8.29 thf(decl_212, type, esk41_0: $i).
% 47.48/8.29 thf(decl_219, type, epred3_2: $i > $i > $i > $o).
% 47.48/8.29 thf(symdiffI1, 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)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', symdiffI1)).
% 47.48/8.29 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setbeta)).
% 47.48/8.29 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', nonemptyI)).
% 47.48/8.29 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setoftrueEq)).
% 47.48/8.29 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.jmGZnmyijD/E---3.1_4042471.p', exuE2)).
% 47.48/8.29 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', sepSubset)).
% 47.48/8.29 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', sepInPowerset)).
% 47.48/8.29 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.jmGZnmyijD/E---3.1_4042471.p', emptyE1)).
% 47.48/8.29 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', exu__Cong)).
% 47.48/8.29 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', exuE3u)).
% 47.48/8.29 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.jmGZnmyijD/E---3.1_4042471.p', exuI2)).
% 47.48/8.29 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', exuI3)).
% 47.48/8.29 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', exuI1)).
% 47.48/8.29 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', dsetconstr__Cong)).
% 47.48/8.29 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', descr__Cong)).
% 47.48/8.29 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', exuEu)).
% 47.48/8.29 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', exuE3e)).
% 47.48/8.29 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', exuE1)).
% 47.48/8.29 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', dsetconstrER)).
% 47.48/8.29 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', dsetconstrEL)).
% 47.48/8.29 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', dsetconstrI)).
% 47.48/8.29 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', descrp)).
% 47.48/8.29 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', replAx)).
% 47.48/8.29 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binintersectI)).
% 47.48/8.29 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binunionRsub)).
% 47.48/8.29 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binintersectSubset5)).
% 47.48/8.29 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binintersectEL)).
% 47.48/8.29 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', nonemptyE1)).
% 47.48/8.29 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binintersectLsub)).
% 47.48/8.29 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binintersectSubset2)).
% 47.48/8.29 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', noeltsimpempty)).
% 47.48/8.29 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binintersectSubset3)).
% 47.48/8.29 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', emptyI)).
% 47.48/8.29 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binintersectER)).
% 47.48/8.29 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', disjointsetsI1)).
% 47.48/8.29 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binintersectRsub)).
% 47.48/8.29 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binintersectSubset4)).
% 47.48/8.29 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binintersectSubset1)).
% 47.48/8.29 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', bs114d)).
% 47.48/8.29 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setminusI)).
% 47.48/8.29 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setminusEL)).
% 47.48/8.29 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setminusER)).
% 47.48/8.29 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setminusSubset2)).
% 47.48/8.29 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setminusERneg)).
% 47.48/8.29 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setminusELneg)).
% 47.48/8.29 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setminusILneg)).
% 47.48/8.29 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setminusIRneg)).
% 47.48/8.29 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', upairsetIR)).
% 47.48/8.29 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setminusLsub)).
% 47.48/8.29 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setminusSubset1)).
% 47.48/8.29 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setadjoinOr)).
% 47.48/8.29 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', symdiffE)).
% 47.48/8.29 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setadjoinE)).
% 47.48/8.29 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setadjoinIR)).
% 47.48/8.29 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', emptyinunitempty)).
% 47.48/8.29 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setadjoinIL)).
% 47.48/8.29 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', nonemptyI1)).
% 47.48/8.29 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', powersetI)).
% 47.48/8.29 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', subPowSU)).
% 47.48/8.29 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setunionE)).
% 47.48/8.29 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setunionI)).
% 47.48/8.29 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', powersetE)).
% 47.48/8.29 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', emptyInPowerset)).
% 47.48/8.29 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', emptyinPowerset)).
% 47.48/8.29 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', nonemptyImpWitness)).
% 47.48/8.29 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', subsetRefl)).
% 47.48/8.29 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', notequalI2)).
% 47.48/8.29 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', subsetemptysetimpeq)).
% 47.48/8.29 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binunionIL)).
% 47.48/8.29 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', upairsetIL)).
% 47.48/8.29 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', upairsetE)).
% 47.48/8.29 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', singletonsswitch)).
% 47.48/8.29 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', eqinunit)).
% 47.48/8.29 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', notinsingleton)).
% 47.48/8.29 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', uniqinunit)).
% 47.48/8.29 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', notdexE)).
% 47.48/8.29 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', prop2setI)).
% 47.48/8.29 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', quantDeMorgan4)).
% 47.48/8.29 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', quantDeMorgan3)).
% 47.48/8.29 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', quantDeMorgan2)).
% 47.48/8.29 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', quantDeMorgan1)).
% 47.48/8.29 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', vacuousDall)).
% 47.48/8.29 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', notdallE)).
% 47.48/8.29 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', in__Cong)).
% 47.48/8.29 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', inCongP)).
% 47.48/8.29 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', emptyset__Cong)).
% 47.48/8.29 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', omega__Cong)).
% 47.48/8.29 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setunion__Cong)).
% 47.48/8.29 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', powerset__Cong)).
% 47.48/8.29 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setadjoin__Cong)).
% 47.48/8.29 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', subsetI1)).
% 47.48/8.29 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', notsubsetI)).
% 47.48/8.29 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', subsetE2)).
% 47.48/8.29 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', subsetE)).
% 47.48/8.29 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', emptysetsubset)).
% 47.48/8.29 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', subsetI2)).
% 47.48/8.29 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', eqimpsubset1)).
% 47.48/8.29 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', eqimpsubset2)).
% 47.48/8.29 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', notequalI1)).
% 47.48/8.29 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setextsub)).
% 47.48/8.29 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', subset2powerset)).
% 47.48/8.29 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setadjoinSub2)).
% 47.48/8.29 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setadjoinSub)).
% 47.48/8.29 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', subsetTrans)).
% 47.48/8.29 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', powersetsubset)).
% 47.48/8.29 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', inPowerset)).
% 47.48/8.29 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', powersetE1)).
% 47.48/8.29 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', powersetI1)).
% 47.48/8.29 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binunionIR)).
% 47.48/8.29 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binunionEcases)).
% 47.48/8.29 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binunionE)).
% 47.48/8.29 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', binunionLsub)).
% 47.48/8.29 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', upairset2IR)).
% 47.48/8.29 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.jmGZnmyijD/E---3.1_4042471.p', setext)).
% 47.48/8.29 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', notinemptyset)).
% 47.48/8.29 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', emptysetimpfalse)).
% 47.48/8.29 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', emptysetE)).
% 47.48/8.29 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', prop2setE)).
% 47.48/8.29 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.jmGZnmyijD/E---3.1_4042471.p', wellorderingAx)).
% 47.48/8.29 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.jmGZnmyijD/E---3.1_4042471.p', foundationAx)).
% 47.48/8.29 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', omegaIndAx)).
% 47.48/8.29 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', omegaSAx)).
% 47.48/8.29 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', omega0Ax)).
% 47.48/8.29 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setunionAx)).
% 47.48/8.29 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', powersetAx)).
% 47.48/8.29 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setadjoinAx)).
% 47.48/8.29 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', emptysetAx)).
% 47.48/8.29 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', setextAx)).
% 47.48/8.29 thf(symdiff, axiom, ((symdiff)=(^[X4:$i, X5:$i]:(dsetconstr @ (binunion @ X4 @ X5) @ (^[X2:$i]:(((~((in @ X2 @ X4)))|(~((in @ X2 @ X5))))))))), file('/export/starexec/sandbox/tmp/tmp.jmGZnmyijD/E---3.1_4042471.p', symdiff)).
% 47.48/8.29 thf(c_0_129, 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)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[symdiffI1])).
% 47.48/8.29 thf(c_0_130, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 47.48/8.29 thf(c_0_131, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 47.48/8.29 thf(c_0_132, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 47.48/8.29 thf(c_0_133, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 47.48/8.29 thf(c_0_134, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 47.48/8.29 thf(c_0_135, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 47.48/8.29 thf(c_0_136, 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])).
% 47.48/8.29 thf(c_0_137, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 47.48/8.29 thf(c_0_138, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 47.48/8.29 thf(c_0_139, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 47.48/8.29 thf(c_0_140, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 47.48/8.29 thf(c_0_141, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 47.48/8.29 thf(c_0_142, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 47.48/8.29 thf(c_0_143, plain, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 47.48/8.29 thf(c_0_144, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 47.48/8.29 thf(c_0_145, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 47.48/8.29 thf(c_0_146, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 47.48/8.29 thf(c_0_147, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 47.48/8.29 thf(c_0_148, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 47.48/8.29 thf(c_0_149, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 47.48/8.29 thf(c_0_150, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 47.48/8.29 thf(c_0_151, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 47.48/8.29 thf(c_0_152, plain, ((epred1_0)<=>![X392:$i]:(?[X393:$i]:((((![X394:$i]:(((in @ X394 @ X393)=>![X395:$i]:(((in @ X395 @ X394)=>(in @ X395 @ X392)))))&![X396:$i, X397:$i]:((((in @ X396 @ X392)&(in @ X397 @ X392))=>(![X398:$i]:(((in @ X398 @ X393)=>((in @ X396 @ X398)<=>(in @ X397 @ X398))))=>((X396)=(X397))))))&![X399:$i, X400:$i]:((((in @ X399 @ X393)&(in @ X400 @ X393))=>(![X401:$i]:(((in @ X401 @ X399)=>(in @ X401 @ X400)))|![X402:$i]:(((in @ X402 @ X400)=>(in @ X402 @ X399)))))))&![X403:$i]:(((![X404:$i]:(((in @ X404 @ X403)=>(in @ X404 @ X392)))&?[X405:$i]:((in @ X405 @ X403)))=>?[X406:$i, X407:$i]:(((((in @ X406 @ X393)&(in @ X407 @ X403))&~(?[X408:$i]:(((in @ X408 @ X406)&(in @ X408 @ X403)))))&![X409:$i]:(((in @ X409 @ X393)=>(![X410:$i]:(((in @ X410 @ X409)=>(in @ X410 @ X406)))|(in @ X407 @ X409)))))))))))), introduced(definition)).
% 47.48/8.29 thf(c_0_153, negated_conjecture, ~((![X365:$i, X366:$i]:((![X367:$i]:(((in @ X367 @ X365)<=>(in @ X367 @ X366)))=>((X365)=(X366))))=>(![X368:$i]:(~(in @ X368 @ emptyset))=>(![X369:$i, X370:$i, X371:$i]:(((in @ X371 @ (setadjoin @ X369 @ X370))<=>(((X371)=(X369))|(in @ X371 @ X370))))=>(![X372:$i, X373:$i]:(((in @ X373 @ (powerset @ X372))<=>![X374:$i]:(((in @ X374 @ X373)=>(in @ X374 @ X372)))))=>(![X375:$i, X376:$i]:(((in @ X376 @ (setunion @ X375))<=>?[X377:$i]:(((in @ X376 @ X377)&(in @ X377 @ X375)))))=>((in @ emptyset @ omega)=>(![X378:$i]:(((in @ X378 @ omega)=>(in @ (setadjoin @ X378 @ X378) @ omega)))=>(![X379:$i]:((((in @ emptyset @ X379)&![X380:$i]:((((in @ X380 @ omega)&(in @ X380 @ X379))=>(in @ (setadjoin @ X380 @ X380) @ X379))))=>![X381:$i]:(((in @ X381 @ omega)=>(in @ X381 @ X379)))))=>(![X382:$i > $i > $o, X383:$i]:((![X384:$i]:(((in @ X384 @ X383)=>(exu @ (X382 @ X384))))=>?[X385:$i]:(![X386:$i]:(((in @ X386 @ X385)<=>?[X387:$i]:(((in @ X387 @ X383)&(X382 @ X387 @ X386))))))))=>(![X388:$i]:((?[X389:$i]:((in @ X389 @ X388))=>?[X390:$i]:(((in @ X390 @ X388)&~(?[X391:$i]:(((in @ X391 @ X390)&(in @ X391 @ X388))))))))=>((epred1_0)=>(![X411:$i > $o]:(((exu @ X411)=>(X411 @ (descr @ (^[Z0:$i]:(X411 @ Z0))))))=>(![X412:$i, X413:$i > $o, X414:$i]:(((in @ X414 @ X412)=>((X413 @ X414)=>(in @ X414 @ (dsetconstr @ X412 @ X413)))))=>(![X415:$i, X416:$i > $o, X417:$i]:(((in @ X417 @ (dsetconstr @ X415 @ X416))=>(in @ X417 @ X415)))=>(![X418:$i, X419:$i > $o, X420:$i]:(((in @ X420 @ (dsetconstr @ X418 @ X419))=>(X419 @ X420)))=>(![X421:$i > $o]:(((exu @ X421)=>?[X422:$i]:(((X421 @ X422)&![X423:$i]:(((X421 @ X423)=>((X422)=(X423))))))))=>(![X424:$o, X425:$i]:(((in @ X425 @ (prop2set @ ((X424))))=>(X424)))=>(![X426:$i]:(((in @ X426 @ emptyset)=>![X427:$o]:((X427))))=>(![X428:$i]:(((in @ X428 @ emptyset)=>~($true)))=>(![X429:$i]:(~(in @ X429 @ emptyset))=>(![X430:$i > $o]:(((exu @ X430)=>?[X431:$i]:((X430 @ X431))))=>(![X432:$i, X433:$i]:((![X434:$i]:(((in @ X434 @ X432)=>(in @ X434 @ X433)))=>(![X435:$i]:(((in @ X435 @ X433)=>(in @ X435 @ X432)))=>((X432)=(X433)))))=>(![X436:$i]:((![X437:$i]:(~(in @ X437 @ X436))=>((X436)=(emptyset))))=>(![X438:$i]:((![X439:$i]:(~(in @ X439 @ X438))=>((X438)=(emptyset))))=>(![X440:$i, X441:$i > $o, X442:$i]:(((in @ X442 @ X440)=>((in @ X442 @ (dsetconstr @ X440 @ X441))<=>(X441 @ X442))))=>(![X443:$i]:(((nonempty @ X443)=>?[X444:$i]:((in @ X444 @ X443))))=>(![X445:$i, X446:$i > $o, X447:$i]:(((in @ X447 @ X445)=>((X446 @ X447)=>(nonempty @ (dsetconstr @ X445 @ X446)))))=>(![X448:$i]:((?[X449:$i]:((in @ X449 @ X448))=>(nonempty @ X448)))=>(![X450:$i, X451:$i]:((in @ X450 @ (setadjoin @ X450 @ X451)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X452:$i, X453:$i, X454:$i]:(((in @ X454 @ X453)=>(in @ X454 @ (setadjoin @ X452 @ X453))))=>(![X455:$i, X456:$i, X457:$i]:(((in @ X457 @ (setadjoin @ X455 @ X456))=>![X458:$o]:(((((X457)=(X455))=>(X458))=>(((in @ X457 @ X456)=>(X458))=>(X458))))))=>(![X459:$i, X460:$i, X461:$i]:(((in @ X461 @ (setadjoin @ X459 @ X460))=>(((X461)=(X459))|(in @ X461 @ X460))))=>(![X462:$i]:(((dsetconstr @ X462 @ (^[Z0:$i]:($true)))=(X462)))=>(![X463:$i, X464:$i]:((![X465:$i]:(((in @ X465 @ X464)=>(in @ X465 @ X463)))=>(in @ X464 @ (powerset @ X463))))=>(![X466:$i]:((in @ emptyset @ (powerset @ X466)))=>(![X467:$i]:((in @ emptyset @ (powerset @ X467)))=>(![X468:$i, X469:$i, X470:$i]:(((in @ X469 @ (powerset @ X468))=>((in @ X470 @ X469)=>(in @ X470 @ X468))))=>(![X471:$i, X472:$i, X473:$i]:(((in @ X472 @ X473)=>((in @ X473 @ X471)=>(in @ X472 @ (setunion @ X471)))))=>(![X474:$i, X475:$i]:(((in @ X475 @ (setunion @ X474))=>![X476:$o]:((![X477:$i]:(((in @ X475 @ X477)=>((in @ X477 @ X474)=>(X476))))=>(X476)))))=>(![X478:$i, X479:$i]:(((in @ X479 @ X478)=>(in @ X479 @ (powerset @ (setunion @ X478)))))=>(![X480:$i > $o]:(((exu @ X480)=>?[X481:$i]:(![X482:$i]:(((X480 @ X482)<=>((X482)=(X481)))))))=>(![X483:$i]:(((nonempty @ X483)=>?[X484:$i]:(((in @ X484 @ X483)&$true))))=>(![X485:$i, X486:$i]:(((in @ X485 @ (setadjoin @ X486 @ emptyset))=>((X485)=(X486))))=>(![X487:$i, X488:$i]:((((X487)!=(X488))=>~(in @ X488 @ (setadjoin @ X487 @ emptyset))))=>(![X489:$i, X490:$i]:((((X489)=(X490))=>(in @ X489 @ (setadjoin @ X490 @ emptyset))))=>(![X491:$i, X492:$i]:(((in @ X491 @ (setadjoin @ X492 @ emptyset))=>(in @ X492 @ (setadjoin @ X491 @ emptyset))))=>(![X493:$i, X494:$i, X495:$i]:(((in @ X495 @ (setadjoin @ X493 @ (setadjoin @ X494 @ emptyset)))=>(((X495)=(X493))|((X495)=(X494)))))=>(![X496:$i, X497:$i]:((in @ X496 @ (setadjoin @ X496 @ (setadjoin @ X497 @ emptyset))))=>(![X498:$i, X499:$i]:((in @ X499 @ (setadjoin @ X498 @ (setadjoin @ X499 @ emptyset))))=>(![X500:$i, X501:$i > $o]:((?[X502:$i]:(((in @ X502 @ X500)&(X501 @ X502)))=>(((dsetconstr @ X500 @ X501)=(emptyset))=>~($true))))=>(![X503:$i > $o, X504:$i]:(((in @ X504 @ emptyset)=>(X503 @ X504)))=>(![X505:$i, X506:$i > $o]:((~(![X507:$i]:(((in @ X507 @ X505)=>(X506 @ X507))))=>?[X508:$i]:(((in @ X508 @ X505)&~((X506 @ X508))))))=>(![X509:$i, X510:$i > $o]:((![X511:$i]:(((in @ X511 @ X509)=>~((X510 @ X511))))=>~(?[X512:$i]:(((in @ X512 @ X509)&(X510 @ X512))))))=>(![X513:$i, X514:$i > $o]:((~(?[X515:$i]:(((in @ X515 @ X513)&(X514 @ X515))))=>![X516:$i]:(((in @ X516 @ X513)=>~((X514 @ X516))))))=>(![X517:$i, X518:$i > $o]:((?[X519:$i]:(((in @ X519 @ X517)&~((X518 @ X519))))=>~(![X520:$i]:(((in @ X520 @ X517)=>(X518 @ X520))))))=>(![X521:$o]:(((X521)=>(in @ emptyset @ (prop2set @ ((X521))))))=>((prop2set2propI)=>(![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 > $o]:((?[X531:$i]:(((X530 @ X531)&![X532:$i]:(((X530 @ X532)=>((X531)=(X532))))))=>(exu @ X530)))=>(![X533:$i > $o]:((?[X534:$i]:((X533 @ X534))=>(![X535:$i, X536:$i]:(((X533 @ X535)=>((X533 @ X536)=>((X535)=(X536)))))=>(exu @ X533))))=>(![X537:$i > $o]:((?[X538:$i]:(![X539:$i]:(((X537 @ X539)<=>((X539)=(X538)))))=>(exu @ X537)))=>(![X540:$i, X541:$i]:((((X540)=(X541))=>![X542:$i, X543:$i]:((((X542)=(X543))=>((in @ X542 @ X540)=>(in @ X543 @ X541))))))=>(![X544:$i, X545:$i]:((((X544)=(X545))=>![X546:$i, X547:$i]:((((X546)=(X547))=>((in @ X546 @ X544)<=>(in @ X547 @ X545))))))=>(![X548:$i > $o]:(((exu @ X548)=>![X549:$i, X550:$i]:(((X548 @ X549)=>((X548 @ X550)=>((X549)=(X550)))))))=>(![X551:$i > $o, X552:$i > $o]:((![X553:$i, X554:$i]:((((X553)=(X554))=>((X551 @ X553)<=>(X552 @ X554))))=>((exu @ X551)<=>(exu @ X552))))=>(((emptyset)=(emptyset))=>(![X555:$i, X556:$i]:((((X555)=(X556))=>![X557:$i, X558:$i]:((((X557)=(X558))=>((setadjoin @ X555 @ X557)=(setadjoin @ X556 @ X558))))))=>(![X559:$i, X560:$i]:((((X559)=(X560))=>((powerset @ X559)=(powerset @ X560))))=>(![X561:$i, X562:$i]:((((X561)=(X562))=>((setunion @ X561)=(setunion @ X562))))=>(((omega)=(omega))=>(![X563:$i > $o]:(((exu @ X563)=>![X564:$i, X565:$i]:(((X563 @ X564)=>((X563 @ X565)=>((X564)=(X565)))))))=>(![X566:$i > $o, X567:$i > $o]:((![X568:$i, X569:$i]:((((X568)=(X569))=>((X566 @ X568)<=>(X567 @ X569))))=>((exu @ X566)=>((exu @ X567)=>((descr @ X566)=(descr @ X567))))))=>(![X570:$i, X571:$i]:((((X570)=(X571))=>![X572:$i > $o, X573:$i > $o]:((![X574:$i]:(((in @ X574 @ X570)=>![X575:$i]:(((in @ X575 @ X571)=>(((X574)=(X575))=>((X572 @ X574)<=>(X573 @ X575)))))))=>((dsetconstr @ X570 @ X572)=(dsetconstr @ X571 @ X573))))))=>(![X576:$i, X577:$i]:((![X578:$i]:(((in @ X578 @ X576)=>(in @ X578 @ X577)))=>(subset @ X576 @ X577)))=>(![X579:$i, X580:$i]:((((X579)=(X580))=>(subset @ X580 @ X579)))=>(![X581:$i, X582:$i]:((((X581)=(X582))=>(subset @ X581 @ X582)))=>(![X583:$i, X584:$i]:((![X585:$i]:(((in @ X585 @ X583)=>(in @ X585 @ X584)))=>(subset @ X583 @ X584)))=>(![X586:$i]:((subset @ emptyset @ X586))=>(![X587:$i, X588:$i, X589:$i]:(((subset @ X587 @ X588)=>((in @ X589 @ X587)=>(in @ X589 @ X588))))=>(![X590:$i, X591:$i, X592:$i]:(((subset @ X590 @ X591)=>(~(in @ X592 @ X591)=>~(in @ X592 @ X590))))=>(![X593:$i, X594:$i, X595:$i]:(((in @ X595 @ X593)=>(~(in @ X595 @ X594)=>~(subset @ X593 @ X594))))=>(![X596:$i, X597:$i]:((~(subset @ X596 @ X597)=>((X596)!=(X597))))=>(![X598:$i, X599:$i, X600:$i]:(((in @ X600 @ X598)=>(~(in @ X600 @ X599)=>((X598)!=(X599)))))=>(![X601:$i]:((subset @ X601 @ X601))=>(![X602:$i, X603:$i, X604:$i]:(((subset @ X602 @ X603)=>((subset @ X603 @ X604)=>(subset @ X602 @ X604))))=>(![X605:$i, X606:$i]:((subset @ X606 @ (setadjoin @ X605 @ X606)))=>(![X607:$i, X608:$i, X609:$i]:(((subset @ X607 @ X609)=>(subset @ X607 @ (setadjoin @ X608 @ X609))))=>(![X610:$i, X611:$i]:(((subset @ X610 @ X611)=>(in @ X610 @ (powerset @ X611))))=>(![X612:$i, X613:$i]:(((subset @ X612 @ X613)=>((subset @ X613 @ X612)=>((X612)=(X613)))))=>(![X614:$i]:(((subset @ X614 @ emptyset)=>((X614)=(emptyset))))=>(![X615:$i, X616:$i]:(((subset @ X616 @ X615)=>(in @ X616 @ (powerset @ X615))))=>(![X617:$i, X618:$i]:(((in @ X618 @ (powerset @ X617))=>(subset @ X618 @ X617)))=>(![X619:$i]:((in @ X619 @ (powerset @ X619)))=>(![X620:$i, X621:$i]:(((subset @ X620 @ X621)=>(subset @ (powerset @ X620) @ (powerset @ X621))))=>(![X622:$i, X623:$i > $o]:((in @ (dsetconstr @ X622 @ X623) @ (powerset @ X622)))=>(![X624:$i, X625:$i > $o]:((subset @ (dsetconstr @ X624 @ X625) @ X624))=>(![X626:$i, X627:$i, X628:$i]:(((in @ X628 @ X626)=>(in @ X628 @ (binunion @ X626 @ X627))))=>(![X629:$i, X630:$i]:((in @ X630 @ (setadjoin @ X629 @ (setadjoin @ X630 @ emptyset))))=>(![X631:$i, X632:$i, X633:$i]:(((in @ X633 @ X632)=>(in @ X633 @ (binunion @ X631 @ X632))))=>(![X634:$i, X635:$i, X636:$i, X637:$o]:(((in @ X636 @ (binunion @ X634 @ X635))=>(((in @ X636 @ X634)=>(X637))=>(((in @ X636 @ X635)=>(X637))=>(X637)))))=>(![X638:$i, X639:$i, X640:$i]:(((in @ X640 @ (binunion @ X638 @ X639))=>((in @ X640 @ X638)|(in @ X640 @ X639))))=>(![X641:$i, X642:$i]:((subset @ X641 @ (binunion @ X641 @ X642)))=>(![X643:$i, X644:$i]:((subset @ X644 @ (binunion @ X643 @ X644)))=>(![X645:$i, X646:$i, X647:$i]:(((in @ X647 @ X645)=>((in @ X647 @ X646)=>(in @ X647 @ (binintersect @ X645 @ X646)))))=>(![X648:$i, X649:$i, X650:$i]:(((subset @ X650 @ X648)=>((subset @ X650 @ X649)=>(subset @ X650 @ (binintersect @ X648 @ X649)))))=>(![X651:$i, X652:$i, X653:$i]:(((in @ X653 @ (binintersect @ X651 @ X652))=>(in @ X653 @ X651)))=>(![X654:$i, X655:$i]:((subset @ (binintersect @ X654 @ X655) @ X654))=>(![X656:$i, X657:$i]:(((subset @ X656 @ X657)=>((binintersect @ X656 @ X657)=(X656))))=>(![X658:$i, X659:$i]:((((binintersect @ X658 @ X659)=(X659))=>(subset @ X659 @ X658)))=>(![X660:$i, X661:$i, X662:$i]:(((in @ X662 @ (binintersect @ X660 @ X661))=>(in @ X662 @ X661)))=>(![X663:$i, X664:$i]:((~(?[X665:$i]:(((in @ X665 @ X663)&(in @ X665 @ X664))))=>((binintersect @ X663 @ X664)=(emptyset))))=>(![X666:$i, X667:$i]:((subset @ (binintersect @ X666 @ X667) @ X667))=>(![X668:$i, X669:$i]:(((subset @ X669 @ X668)=>((binintersect @ X668 @ X669)=(X669))))=>(![X670:$i, X671:$i]:((((binintersect @ X670 @ X671)=(X670))=>(subset @ X670 @ X671)))=>(![X672:$i, X673:$i, X674:$i]:(((binintersect @ X672 @ (binunion @ X673 @ X674))=(binunion @ (binintersect @ X672 @ X673) @ (binintersect @ X672 @ X674))))=>(![X675:$i, X676:$i, X677:$i]:(((in @ X677 @ X675)=>(~(in @ X677 @ X676)=>(in @ X677 @ (setminus @ X675 @ X676)))))=>(![X678:$i, X679:$i, X680:$i]:(((in @ X680 @ (setminus @ X678 @ X679))=>(in @ X680 @ X678)))=>(![X681:$i, X682:$i, X683:$i]:(((in @ X683 @ (setminus @ X681 @ X682))=>~(in @ X683 @ X682)))=>(![X684:$i, X685:$i]:(((subset @ X684 @ X685)=>((setminus @ X684 @ X685)=(emptyset))))=>(![X686:$i, X687:$i, X688:$i]:((~(in @ X688 @ (setminus @ X686 @ X687))=>((in @ X688 @ X686)=>(in @ X688 @ X687))))=>(![X689:$i, X690:$i, X691:$i]:((~(in @ X691 @ (setminus @ X689 @ X690))=>(~(in @ X691 @ X690)=>~(in @ X691 @ X689))))=>(![X692:$i, X693:$i, X694:$i]:((~(in @ X694 @ X692)=>~(in @ X694 @ (setminus @ X692 @ X693))))=>(![X695:$i, X696:$i, X697:$i]:(((in @ X697 @ X696)=>~(in @ X697 @ (setminus @ X695 @ X696))))=>(![X698:$i, X699:$i]:((subset @ (setminus @ X698 @ X699) @ X698))=>(![X700:$i, X701:$i]:((((setminus @ X700 @ X701)=(emptyset))=>(subset @ X700 @ X701)))=>(![X702:$i, X703:$i, X704:$i]:(((in @ X704 @ (symdiff @ X702 @ X703))=>![X705:$o]:((((in @ X704 @ X702)=>(~(in @ X704 @ X703)=>(X705)))=>((~(in @ X704 @ X702)=>((in @ X704 @ X703)=>(X705)))=>(X705))))))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~(in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_129, binintersectI]), binunionRsub]), binintersectSubset5]), binintersectEL]), nonemptyE1]), binintersectLsub]), c_0_130]), binintersectSubset2]), noeltsimpempty]), binintersectSubset3]), emptyI]), binintersectER]), c_0_131]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), upairsetIR]), setminusLsub]), c_0_132]), setminusSubset1]), setadjoinOr]), symdiffE]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), nonemptyI1]), powersetI]), c_0_133]), subPowSU]), setunionE]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), nonemptyImpWitness]), subsetRefl]), notequalI2]), subsetemptysetimpeq]), binunionIL]), c_0_134]), c_0_135]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), notinsingleton]), uniqinunit]), c_0_136]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), notdallE]), c_0_137]), c_0_138]), in__Cong]), inCongP]), c_0_139]), c_0_140]), c_0_141]), emptyset__Cong]), c_0_142]), c_0_143]), c_0_144]), omega__Cong]), setunion__Cong]), powerset__Cong]), setadjoin__Cong]), subsetI1]), notsubsetI]), subsetE2]), subsetE]), emptysetsubset]), subsetI2]), eqimpsubset1]), eqimpsubset2]), notequalI1]), setextsub]), subset2powerset]), setadjoinSub2]), setadjoinSub]), subsetTrans]), powersetsubset]), inPowerset]), powersetE1]), powersetI1]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), upairset2IR]), setext]), c_0_145]), notinemptyset]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_146]), c_0_147]), c_0_148]), c_0_149]), c_0_150]), wellorderingAx]), foundationAx]), c_0_151]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_152])).
% 47.48/8.29 thf(c_0_154, negated_conjecture, ![X708:$i, X709:$i, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i, X721:$i, X722:$i, X724:$i, X725:$i, X726:$i, X727:$i, X728:$i, X730:$i, X731:$i > $i > $o, X732:$i, X735:$i, X737:$i, X738:$i, X739:$i, X740:$i, X742:$i, X743:$i > $o, X744:$i, X745:$i > $o, X746:$i, X747:$i, X748:$i > $o, X749:$i, X750:$i, X751:$i > $o, X752:$i, X753:$i > $o, X755:$i, X756:$o, X757:$i, X758:$i, X759:$o, X760:$i, X761:$i, X762:$i > $o, X764:$i, X765:$i, X768:$i, X770:$i, X772:$i, X773:$i > $o, X774:$i, X775:$i, X777:$i, X778:$i > $o, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$o, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X808:$o, X810:$i, X811:$i, X812:$i > $o, X814:$i, X815:$i, X816:$i, X818:$i, X819:$i, X820:$i, X821:$i, X822:$i, X823:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$i, X830:$i, X831:$i, X832:$i, X833:$i, X834:$i > $o, X835:$i, X836:$i > $o, X837:$i, X838:$i, X839:$i > $o, X840:$i, X842:$i, X843:$i > $o, X845:$i, X846:$i, X847:$i > $o, X849:$i, X850:$i, X851:$i > $o, X852:$i, X854:$o, X855:$i, X856:$i > $o, X858:$i, X859:$i, X860:$i > $o, X861:$i, X863:$i > $o, X864:$i, X866:$i > $o, X867:$i, X870:$i > $o, X871:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i > $o, X882:$i, X883:$i, X884:$i > $o, X885:$i > $o, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i, X895:$i, X896:$i > $o, X897:$i, X898:$i, X899:$i > $o, X900:$i > $o, X903:$i, X904:$i, X905:$i > $o, X906:$i > $o, X909:$i, X910:$i, X912:$i, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X924:$i, X925:$i, X926:$i, X927:$i, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$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 > $o, X957:$i, X958:$i > $o, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X967:$i, X968:$i, X969:$i, X970:$o, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$i, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$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, X1023:$i, X1024:$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:$i, X1038:$o]:((((~(in @ (esk1_2 @ X708 @ X709) @ X708)|~(in @ (esk1_2 @ X708 @ X709) @ X709)|((X708)=(X709)))&((in @ (esk1_2 @ X708 @ X709) @ X708)|(in @ (esk1_2 @ X708 @ X709) @ X709)|((X708)=(X709))))&(~(in @ X711 @ emptyset)&(((~(in @ X714 @ (setadjoin @ X712 @ X713))|(((X714)=(X712))|(in @ X714 @ X713)))&((((X714)!=(X712))|(in @ X714 @ (setadjoin @ X712 @ X713)))&(~(in @ X714 @ X713)|(in @ X714 @ (setadjoin @ X712 @ X713)))))&(((~(in @ X716 @ (powerset @ X715))|(~(in @ X717 @ X716)|(in @ X717 @ X715)))&(((in @ (esk2_2 @ X718 @ X719) @ X719)|(in @ X719 @ (powerset @ X718)))&(~(in @ (esk2_2 @ X718 @ X719) @ X718)|(in @ X719 @ (powerset @ X718)))))&(((((in @ X722 @ (esk3_2 @ X721 @ X722))|~(in @ X722 @ (setunion @ X721)))&((in @ (esk3_2 @ X721 @ X722) @ X721)|~(in @ X722 @ (setunion @ X721))))&(~(in @ X725 @ X726)|~(in @ X726 @ X724)|(in @ X725 @ (setunion @ X724))))&((in @ emptyset @ omega)&((~(in @ X727 @ omega)|(in @ (setadjoin @ X727 @ X727) @ omega))&(((((in @ (esk4_1 @ X728) @ omega)|~(in @ emptyset @ X728)|(~(in @ X730 @ omega)|(in @ X730 @ X728)))&((in @ (esk4_1 @ X728) @ X728)|~(in @ emptyset @ X728)|(~(in @ X730 @ omega)|(in @ X730 @ X728))))&(~(in @ (setadjoin @ (esk4_1 @ X728) @ (esk4_1 @ X728)) @ X728)|~(in @ emptyset @ X728)|(~(in @ X730 @ omega)|(in @ X730 @ X728))))&((((((in @ (esk7_3 @ X731 @ X732 @ X735) @ X732)|~(in @ X735 @ (esk6_2 @ X731 @ X732))|(in @ (esk5_2 @ X731 @ X732) @ X732))&((X731 @ (esk7_3 @ X731 @ X732 @ X735) @ X735)|~(in @ X735 @ (esk6_2 @ X731 @ X732))|(in @ (esk5_2 @ X731 @ X732) @ X732)))&(~(in @ X738 @ X732)|~(X731 @ X738 @ X737)|(in @ X737 @ (esk6_2 @ X731 @ X732))|(in @ (esk5_2 @ X731 @ X732) @ X732)))&((((in @ (esk7_3 @ X731 @ X732 @ X735) @ X732)|~(in @ X735 @ (esk6_2 @ X731 @ X732))|~(exu @ (X731 @ (esk5_2 @ X731 @ X732))))&((X731 @ (esk7_3 @ X731 @ X732 @ X735) @ X735)|~(in @ X735 @ (esk6_2 @ X731 @ X732))|~(exu @ (X731 @ (esk5_2 @ X731 @ X732)))))&(~(in @ X738 @ X732)|~(X731 @ X738 @ X737)|(in @ X737 @ (esk6_2 @ X731 @ X732))|~(exu @ (X731 @ (esk5_2 @ X731 @ X732))))))&((((in @ (esk8_1 @ X739) @ X739)|~(in @ X740 @ X739))&(~(in @ X742 @ (esk8_1 @ X739))|~(in @ X742 @ X739)|~(in @ X740 @ X739)))&((epred1_0)&((~(exu @ X743)|(X743 @ (descr @ X743)))&((~(in @ X746 @ X744)|(~(X745 @ X746)|(in @ X746 @ (dsetconstr @ X744 @ X745))))&((~(in @ X749 @ (dsetconstr @ X747 @ X748))|(in @ X749 @ X747))&((~(in @ X752 @ (dsetconstr @ X750 @ X751))|(X751 @ X752))&((((X753 @ (esk9_1 @ X753))|~(exu @ X753))&(~(X753 @ X755)|((esk9_1 @ X753)=(X755))|~(exu @ X753)))&((~(in @ X757 @ (prop2set @ ((X756))))|(X756))&((~(in @ X758 @ emptyset)|(X759))&((~(in @ X760 @ emptyset)|~($true))&(~(in @ X761 @ emptyset)&((~(exu @ X762)|(X762 @ (esk10_1 @ X762)))&(((((in @ (esk12_2 @ X764 @ X765) @ X765)|((X764)=(X765))|(in @ (esk11_2 @ X764 @ X765) @ X764))&(~(in @ (esk12_2 @ X764 @ X765) @ X764)|((X764)=(X765))|(in @ (esk11_2 @ X764 @ X765) @ X764)))&(((in @ (esk12_2 @ X764 @ X765) @ X765)|((X764)=(X765))|~(in @ (esk11_2 @ X764 @ X765) @ X765))&(~(in @ (esk12_2 @ X764 @ X765) @ X764)|((X764)=(X765))|~(in @ (esk11_2 @ X764 @ X765) @ X765))))&(((in @ (esk13_1 @ X768) @ X768)|((X768)=(emptyset)))&(((in @ (esk14_1 @ X770) @ X770)|((X770)=(emptyset)))&(((~(in @ X774 @ (dsetconstr @ X772 @ X773))|(X773 @ X774)|~(in @ X774 @ X772))&(~(X773 @ X774)|(in @ X774 @ (dsetconstr @ X772 @ X773))|~(in @ X774 @ X772)))&((~(nonempty @ X775)|(in @ (esk15_1 @ X775) @ X775))&((~(in @ X779 @ X777)|(~(X778 @ X779)|(nonempty @ (dsetconstr @ X777 @ X778))))&((~(in @ X781 @ X780)|(nonempty @ X780))&((in @ X782 @ (setadjoin @ X782 @ X783))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X786 @ X785)|(in @ X786 @ (setadjoin @ X784 @ X785)))&(((((in @ X789 @ X788)|(X790)|((X789)=(X787))|~(in @ X789 @ (setadjoin @ X787 @ X788)))&(~(X790)|(X790)|((X789)=(X787))|~(in @ X789 @ (setadjoin @ X787 @ X788))))&(((in @ X789 @ X788)|(X790)|~(X790)|~(in @ X789 @ (setadjoin @ X787 @ X788)))&(~(X790)|(X790)|~(X790)|~(in @ X789 @ (setadjoin @ X787 @ X788)))))&((~(in @ X793 @ (setadjoin @ X791 @ X792))|(((X793)=(X791))|(in @ X793 @ X792)))&(((dsetconstr @ X794 @ (^[Z0:$i]:($true)))=(X794))&((((in @ (esk16_2 @ X795 @ X796) @ X796)|(in @ X796 @ (powerset @ X795)))&(~(in @ (esk16_2 @ X795 @ X796) @ X795)|(in @ X796 @ (powerset @ X795))))&((in @ emptyset @ (powerset @ X798))&((in @ emptyset @ (powerset @ X799))&((~(in @ X801 @ (powerset @ X800))|(~(in @ X802 @ X801)|(in @ X802 @ X800)))&((~(in @ X804 @ X805)|(~(in @ X805 @ X803)|(in @ X804 @ (setunion @ X803))))&((((in @ X807 @ (esk17_3 @ X806 @ X807 @ X808))|(X808)|~(in @ X807 @ (setunion @ X806)))&(((in @ (esk17_3 @ X806 @ X807 @ X808) @ X806)|(X808)|~(in @ X807 @ (setunion @ X806)))&(~(X808)|(X808)|~(in @ X807 @ (setunion @ X806)))))&((~(in @ X811 @ X810)|(in @ X811 @ (powerset @ (setunion @ X810))))&(((~(X812 @ X814)|((X814)=(esk18_1 @ X812))|~(exu @ X812))&(((X815)!=(esk18_1 @ X812))|(X812 @ X815)|~(exu @ X812)))&((((in @ (esk19_1 @ X816) @ X816)|~(nonempty @ X816))&(($true)|~(nonempty @ X816)))&((~(in @ X818 @ (setadjoin @ X819 @ emptyset))|((X818)=(X819)))&((((X820)=(X821))|~(in @ X821 @ (setadjoin @ X820 @ emptyset)))&((((X822)!=(X823))|(in @ X822 @ (setadjoin @ X823 @ emptyset)))&((~(in @ X824 @ (setadjoin @ X825 @ emptyset))|(in @ X825 @ (setadjoin @ X824 @ emptyset)))&((~(in @ X828 @ (setadjoin @ X826 @ (setadjoin @ X827 @ emptyset)))|(((X828)=(X826))|((X828)=(X827))))&((in @ X829 @ (setadjoin @ X829 @ (setadjoin @ X830 @ emptyset)))&((in @ X832 @ (setadjoin @ X831 @ (setadjoin @ X832 @ emptyset)))&((~(in @ X835 @ X833)|~(X834 @ X835)|(((dsetconstr @ X833 @ X834)!=(emptyset))|~($true)))&((~(in @ X837 @ emptyset)|(X836 @ X837))&((((in @ (esk20_2 @ X838 @ X839) @ X838)|(~(in @ X840 @ X838)|(X839 @ X840)))&(~(X839 @ (esk20_2 @ X838 @ X839))|(~(in @ X840 @ X838)|(X839 @ X840))))&((((in @ (esk21_2 @ X842 @ X843) @ X842)|(~(in @ X845 @ X842)|~(X843 @ X845)))&((X843 @ (esk21_2 @ X842 @ X843))|(~(in @ X845 @ X842)|~(X843 @ X845))))&((((in @ (esk22_2 @ X846 @ X847) @ X846)|(~(in @ X849 @ X846)|~(X847 @ X849)))&((X847 @ (esk22_2 @ X846 @ X847))|(~(in @ X849 @ X846)|~(X847 @ X849))))&((((in @ (esk23_2 @ X850 @ X851) @ X850)|(~(in @ X852 @ X850)|(X851 @ X852)))&(~(X851 @ (esk23_2 @ X850 @ X851))|(~(in @ X852 @ X850)|(X851 @ X852))))&((~(X854)|(in @ emptyset @ (prop2set @ ((X854)))))&((prop2set2propI)&((((in @ (esk24_2 @ X855 @ X856) @ X855)|(~(in @ X858 @ X855)|~(X856 @ X858)))&((X856 @ (esk24_2 @ X855 @ X856))|(~(in @ X858 @ X855)|~(X856 @ X858))))&((((in @ (esk25_2 @ X859 @ X860) @ X859)|(~(in @ X861 @ X859)|(X860 @ X861)))&(~(X860 @ (esk25_2 @ X859 @ X860))|(~(in @ X861 @ X859)|(X860 @ X861))))&((((X863 @ (esk26_2 @ X863 @ X864))|~(X863 @ X864)|(exu @ X863))&(((X864)!=(esk26_2 @ X863 @ X864))|~(X863 @ X864)|(exu @ X863)))&((((X866 @ (esk27_1 @ X866))|(exu @ X866)|~(X866 @ X867))&(((X866 @ (esk28_1 @ X866))|(exu @ X866)|~(X866 @ X867))&(((esk27_1 @ X866)!=(esk28_1 @ X866))|(exu @ X866)|~(X866 @ X867))))&(((~(X870 @ (esk29_2 @ X870 @ X871))|((esk29_2 @ X870 @ X871)!=(X871))|(exu @ X870))&((X870 @ (esk29_2 @ X870 @ X871))|((esk29_2 @ X870 @ X871)=(X871))|(exu @ X870)))&((((X873)!=(X874))|(((X875)!=(X876))|(~(in @ X875 @ X873)|(in @ X876 @ X874))))&(((~(in @ X879 @ X877)|(in @ X880 @ X878)|((X879)!=(X880))|((X877)!=(X878)))&(~(in @ X880 @ X878)|(in @ X879 @ X877)|((X879)!=(X880))|((X877)!=(X878))))&((~(exu @ X881)|(~(X881 @ X882)|(~(X881 @ X883)|((X882)=(X883)))))&((((~(exu @ X884)|(exu @ X885)|((esk30_2 @ X884 @ X885)=(esk31_2 @ X884 @ X885)))&(~(exu @ X885)|(exu @ X884)|((esk30_2 @ X884 @ X885)=(esk31_2 @ X884 @ X885))))&(((~(exu @ X884)|(exu @ X885)|(~(X884 @ (esk30_2 @ X884 @ X885))|~(X885 @ (esk31_2 @ X884 @ X885))))&(~(exu @ X885)|(exu @ X884)|(~(X884 @ (esk30_2 @ X884 @ X885))|~(X885 @ (esk31_2 @ X884 @ X885)))))&((~(exu @ X884)|(exu @ X885)|((X884 @ (esk30_2 @ X884 @ X885))|(X885 @ (esk31_2 @ X884 @ X885))))&(~(exu @ X885)|(exu @ X884)|((X884 @ (esk30_2 @ X884 @ X885))|(X885 @ (esk31_2 @ X884 @ X885)))))))&(((emptyset)=(emptyset))&((((X888)!=(X889))|(((X890)!=(X891))|((setadjoin @ X888 @ X890)=(setadjoin @ X889 @ X891))))&((((X892)!=(X893))|((powerset @ X892)=(powerset @ X893)))&((((X894)!=(X895))|((setunion @ X894)=(setunion @ X895)))&(((omega)=(omega))&((~(exu @ X896)|(~(X896 @ X897)|(~(X896 @ X898)|((X897)=(X898)))))&(((((esk32_2 @ X899 @ X900)=(esk33_2 @ X899 @ X900))|(~(exu @ X899)|(~(exu @ X900)|((descr @ X899)=(descr @ X900)))))&((~(X899 @ (esk32_2 @ X899 @ X900))|~(X900 @ (esk33_2 @ X899 @ X900))|(~(exu @ X899)|(~(exu @ X900)|((descr @ X899)=(descr @ X900)))))&((X899 @ (esk32_2 @ X899 @ X900))|(X900 @ (esk33_2 @ X899 @ X900))|(~(exu @ X899)|(~(exu @ X900)|((descr @ X899)=(descr @ X900)))))))&((((in @ (esk34_4 @ X903 @ X904 @ X905 @ X906) @ X903)|((dsetconstr @ X903 @ X905)=(dsetconstr @ X904 @ X906))|((X903)!=(X904)))&(((in @ (esk35_4 @ X903 @ X904 @ X905 @ X906) @ X904)|((dsetconstr @ X903 @ X905)=(dsetconstr @ X904 @ X906))|((X903)!=(X904)))&((((esk34_4 @ X903 @ X904 @ X905 @ X906)=(esk35_4 @ X903 @ X904 @ X905 @ X906))|((dsetconstr @ X903 @ X905)=(dsetconstr @ X904 @ X906))|((X903)!=(X904)))&((~(X905 @ (esk34_4 @ X903 @ X904 @ X905 @ X906))|~(X906 @ (esk35_4 @ X903 @ X904 @ X905 @ X906))|((dsetconstr @ X903 @ X905)=(dsetconstr @ X904 @ X906))|((X903)!=(X904)))&((X905 @ (esk34_4 @ X903 @ X904 @ X905 @ X906))|(X906 @ (esk35_4 @ X903 @ X904 @ X905 @ X906))|((dsetconstr @ X903 @ X905)=(dsetconstr @ X904 @ X906))|((X903)!=(X904)))))))&((((in @ (esk36_2 @ X909 @ X910) @ X909)|(subset @ X909 @ X910))&(~(in @ (esk36_2 @ X909 @ X910) @ X910)|(subset @ X909 @ X910)))&((((X912)!=(X913))|(subset @ X913 @ X912))&((((X914)!=(X915))|(subset @ X914 @ X915))&((((in @ (esk37_2 @ X916 @ X917) @ X916)|(subset @ X916 @ X917))&(~(in @ (esk37_2 @ X916 @ X917) @ X917)|(subset @ X916 @ X917)))&((subset @ emptyset @ X919)&((~(subset @ X920 @ X921)|(~(in @ X922 @ X920)|(in @ X922 @ X921)))&((~(subset @ X923 @ X924)|((in @ X925 @ X924)|~(in @ X925 @ X923)))&((~(in @ X928 @ X926)|((in @ X928 @ X927)|~(subset @ X926 @ X927)))&(((subset @ X929 @ X930)|((X929)!=(X930)))&((~(in @ X933 @ X931)|((in @ X933 @ X932)|((X931)!=(X932))))&((subset @ X934 @ X934)&((~(subset @ X935 @ X936)|(~(subset @ X936 @ X937)|(subset @ X935 @ X937)))&((subset @ X939 @ (setadjoin @ X938 @ X939))&((~(subset @ X940 @ X942)|(subset @ X940 @ (setadjoin @ X941 @ X942)))&((~(subset @ X943 @ X944)|(in @ X943 @ (powerset @ X944)))&((~(subset @ X945 @ X946)|(~(subset @ X946 @ X945)|((X945)=(X946))))&((~(subset @ X947 @ emptyset)|((X947)=(emptyset)))&((~(subset @ X949 @ X948)|(in @ X949 @ (powerset @ X948)))&((~(in @ X951 @ (powerset @ X950))|(subset @ X951 @ X950))&((in @ X952 @ (powerset @ X952))&((~(subset @ X953 @ X954)|(subset @ (powerset @ X953) @ (powerset @ X954)))&((in @ (dsetconstr @ X955 @ X956) @ (powerset @ X955))&((subset @ (dsetconstr @ X957 @ X958) @ X957)&((~(in @ X961 @ X959)|(in @ X961 @ (binunion @ X959 @ X960)))&((in @ X963 @ (setadjoin @ X962 @ (setadjoin @ X963 @ emptyset)))&((~(in @ X966 @ X965)|(in @ X966 @ (binunion @ X964 @ X965)))&(((((in @ X969 @ X968)|(X970)|(in @ X969 @ X967)|~(in @ X969 @ (binunion @ X967 @ X968)))&(~(X970)|(X970)|(in @ X969 @ X967)|~(in @ X969 @ (binunion @ X967 @ X968))))&(((in @ X969 @ X968)|(X970)|~(X970)|~(in @ X969 @ (binunion @ X967 @ X968)))&(~(X970)|(X970)|~(X970)|~(in @ X969 @ (binunion @ X967 @ X968)))))&((~(in @ X973 @ (binunion @ X971 @ X972))|((in @ X973 @ X971)|(in @ X973 @ X972)))&((subset @ X974 @ (binunion @ X974 @ X975))&((subset @ X977 @ (binunion @ X976 @ X977))&((~(in @ X980 @ X978)|(~(in @ X980 @ X979)|(in @ X980 @ (binintersect @ X978 @ X979))))&((~(subset @ X983 @ X981)|(~(subset @ X983 @ X982)|(subset @ X983 @ (binintersect @ X981 @ X982))))&((~(in @ X986 @ (binintersect @ X984 @ X985))|(in @ X986 @ X984))&((subset @ (binintersect @ X987 @ X988) @ X987)&((~(subset @ X989 @ X990)|((binintersect @ X989 @ X990)=(X989)))&((((binintersect @ X991 @ X992)!=(X992))|(subset @ X992 @ X991))&((~(in @ X995 @ (binintersect @ X993 @ X994))|(in @ X995 @ X994))&((((in @ (esk38_2 @ X996 @ X997) @ X996)|((binintersect @ X996 @ X997)=(emptyset)))&((in @ (esk38_2 @ X996 @ X997) @ X997)|((binintersect @ X996 @ X997)=(emptyset))))&((subset @ (binintersect @ X999 @ X1000) @ X1000)&((~(subset @ X1002 @ X1001)|((binintersect @ X1001 @ X1002)=(X1002)))&((((binintersect @ X1003 @ X1004)!=(X1003))|(subset @ X1003 @ X1004))&(((binintersect @ X1005 @ (binunion @ X1006 @ X1007))=(binunion @ (binintersect @ X1005 @ X1006) @ (binintersect @ X1005 @ X1007)))&((~(in @ X1010 @ X1008)|((in @ X1010 @ X1009)|(in @ X1010 @ (setminus @ X1008 @ X1009))))&((~(in @ X1013 @ (setminus @ X1011 @ X1012))|(in @ X1013 @ X1011))&((~(in @ X1016 @ (setminus @ X1014 @ X1015))|~(in @ X1016 @ X1015))&((~(subset @ X1017 @ X1018)|((setminus @ X1017 @ X1018)=(emptyset)))&(((in @ X1021 @ (setminus @ X1019 @ X1020))|(~(in @ X1021 @ X1019)|(in @ X1021 @ X1020)))&(((in @ X1024 @ (setminus @ X1022 @ X1023))|((in @ X1024 @ X1023)|~(in @ X1024 @ X1022)))&(((in @ X1027 @ X1025)|~(in @ X1027 @ (setminus @ X1025 @ X1026)))&((~(in @ X1030 @ X1029)|~(in @ X1030 @ (setminus @ X1028 @ X1029)))&((subset @ (setminus @ X1031 @ X1032) @ X1031)&((((setminus @ X1033 @ X1034)!=(emptyset))|(subset @ X1033 @ X1034))&((((~(in @ X1037 @ X1035)|(X1038)|(in @ X1037 @ X1035)|~(in @ X1037 @ (symdiff @ X1035 @ X1036)))&(((in @ X1037 @ X1036)|(X1038)|(in @ X1037 @ X1035)|~(in @ X1037 @ (symdiff @ X1035 @ X1036)))&(~(X1038)|(X1038)|(in @ X1037 @ X1035)|~(in @ X1037 @ (symdiff @ X1035 @ X1036)))))&(((~(in @ X1037 @ X1035)|(X1038)|~(in @ X1037 @ X1036)|~(in @ X1037 @ (symdiff @ X1035 @ X1036)))&(((in @ X1037 @ X1036)|(X1038)|~(in @ X1037 @ X1036)|~(in @ X1037 @ (symdiff @ X1035 @ X1036)))&(~(X1038)|(X1038)|~(in @ X1037 @ X1036)|~(in @ X1037 @ (symdiff @ X1035 @ X1036)))))&((~(in @ X1037 @ X1035)|(X1038)|~(X1038)|~(in @ X1037 @ (symdiff @ X1035 @ X1036)))&(((in @ X1037 @ X1036)|(X1038)|~(X1038)|~(in @ X1037 @ (symdiff @ X1035 @ X1036)))&(~(X1038)|(X1038)|~(X1038)|~(in @ X1037 @ (symdiff @ X1035 @ X1036)))))))&((in @ esk41_0 @ esk39_0)&(~(in @ esk41_0 @ esk40_0)&~(in @ esk41_0 @ (symdiff @ esk39_0 @ esk40_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_153])])])])])])])).
% 47.48/8.29 thf(c_0_155, negated_conjecture, ![X2:$i, X3:$i]:(((nonempty @ X3)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.48/8.29 thf(c_0_156, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setminus @ X3 @ X4))|(in @ X2 @ X4)|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.48/8.29 thf(c_0_157, plain, ![X706:$i, X707:$i]:(((symdiff @ X706 @ X707)=(dsetconstr @ (binunion @ X706 @ X707) @ (^[Z0:$i]:(((~((in @ Z0 @ X706)))|(~((in @ Z0 @ X707))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[symdiff])])).
% 47.48/8.29 thf(c_0_158, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((nonempty @ (setminus @ X2 @ X3))|(in @ X4 @ X3)|~((in @ X4 @ X2)))), inference(spm,[status(thm)],[c_0_155, c_0_156])).
% 47.48/8.29 thf(c_0_159, negated_conjecture, (in @ esk41_0 @ esk39_0), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.48/8.29 thf(c_0_160, negated_conjecture, ![X2:$i]:(~((in @ X2 @ emptyset))), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.48/8.29 thf(c_0_161, negated_conjecture, ![X2:$i]:(((in @ (esk15_1 @ X2) @ X2)|~((nonempty @ X2)))), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.48/8.29 thf(c_0_162, plain, ![X1042:$i, X1043:$i]:(((symdiff @ X1042 @ X1043)=(dsetconstr @ (binunion @ X1042 @ X1043) @ (^[Z0:$i]:(((~((in @ Z0 @ X1042)))|(~((in @ Z0 @ X1043))))))))), inference(variable_rename,[status(thm)],[c_0_157])).
% 47.48/8.29 thf(c_0_163, plain, ![X1064:$i, X2:$i, X3:$i]:(((epred3_2 @ X3 @ X2 @ X1064)<=>(~((in @ X1064 @ X2))|~((in @ X1064 @ X3))))), introduced(definition)).
% 47.48/8.29 thf(c_0_164, negated_conjecture, ![X2:$i]:(((nonempty @ (setminus @ esk39_0 @ X2))|(in @ esk41_0 @ X2))), inference(spm,[status(thm)],[c_0_158, c_0_159])).
% 47.48/8.29 thf(c_0_165, negated_conjecture, ![X2:$i, X3:$i]:((((setminus @ X2 @ X3)=(emptyset))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.48/8.29 thf(c_0_166, negated_conjecture, ~((nonempty @ emptyset)), inference(spm,[status(thm)],[c_0_160, c_0_161])).
% 47.48/8.29 thf(c_0_167, negated_conjecture, ![X1:$i > $o, X2:$i, X3:$i]:(((in @ X2 @ (dsetconstr @ X3 @ X1))|~((X1 @ X2))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.48/8.29 thf(c_0_168, plain, ![X3:$i, X2:$i]:(((symdiff @ X2 @ X3)=(dsetconstr @ (binunion @ X2 @ X3) @ (epred3_2 @ X3 @ X2)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_162]), c_0_163])).
% 47.48/8.29 thf(c_0_169, negated_conjecture, ![X2:$i]:(((in @ esk41_0 @ X2)|~((subset @ esk39_0 @ X2)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164, c_0_165]), c_0_166])).
% 47.48/8.29 thf(c_0_170, negated_conjecture, ![X2:$i, X3:$i]:((subset @ X2 @ (binunion @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.48/8.29 thf(c_0_171, negated_conjecture, ~((in @ esk41_0 @ (symdiff @ esk39_0 @ esk40_0))), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.48/8.29 thf(c_0_172, negated_conjecture, ![X4:$i, X3:$i, X2:$i]:(((in @ X2 @ (symdiff @ X3 @ X4))|~((in @ X2 @ (binunion @ X3 @ X4)))|~((epred3_2 @ X4 @ X3 @ X2)))), inference(spm,[status(thm)],[c_0_167, c_0_168])).
% 47.48/8.29 thf(c_0_173, negated_conjecture, ![X2:$i]:((in @ esk41_0 @ (binunion @ esk39_0 @ X2))), inference(spm,[status(thm)],[c_0_169, c_0_170])).
% 47.48/8.29 thf(c_0_174, plain, ![X1066:$i, X1067:$i, X1068:$i]:(((~(epred3_2 @ X1068 @ X1067 @ X1066)|(~(in @ X1066 @ X1067)|~(in @ X1066 @ X1068)))&(((in @ X1066 @ X1067)|(epred3_2 @ X1068 @ X1067 @ X1066))&((in @ X1066 @ X1068)|(epred3_2 @ X1068 @ X1067 @ X1066))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])])])).
% 47.48/8.29 thf(c_0_175, negated_conjecture, ~((epred3_2 @ esk40_0 @ esk39_0 @ esk41_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171, c_0_172]), c_0_173])])).
% 47.48/8.29 thf(c_0_176, plain, ![X4:$i, X3:$i, X2:$i]:(((in @ X2 @ X3)|(epred3_2 @ X3 @ X4 @ X2))), inference(split_conjunct,[status(thm)],[c_0_174])).
% 47.48/8.29 thf(c_0_177, negated_conjecture, ~((in @ esk41_0 @ esk40_0)), inference(split_conjunct,[status(thm)],[c_0_154])).
% 47.48/8.29 thf(c_0_178, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_176]), c_0_177]), ['proof']).
% 47.48/8.29 % SZS output end CNFRefutation
% 47.48/8.29 % Parsed axioms : 280
% 47.48/8.29 % Removed by relevancy pruning/SinE : 151
% 47.48/8.29 % Initial clauses : 214
% 47.48/8.29 % Removed in clause preprocessing : 25
% 47.48/8.29 % Initial clauses in saturation : 189
% 47.48/8.29 % Processed clauses : 18492
% 47.48/8.29 % ...of these trivial : 512
% 47.48/8.29 % ...subsumed : 13785
% 47.48/8.29 % ...remaining for further processing : 4195
% 47.48/8.29 % Other redundant clauses eliminated : 156
% 47.48/8.29 % Clauses deleted for lack of memory : 0
% 47.48/8.29 % Backward-subsumed : 642
% 47.48/8.29 % Backward-rewritten : 56
% 47.48/8.29 % Generated clauses : 448786
% 47.48/8.29 % ...of the previous two non-redundant : 383486
% 47.48/8.29 % ...aggressively subsumed : 0
% 47.48/8.29 % Contextual simplify-reflections : 5
% 47.48/8.29 % Paramodulations : 448444
% 47.48/8.29 % Factorizations : 148
% 47.48/8.29 % NegExts : 0
% 47.48/8.29 % Equation resolutions : 156
% 47.48/8.29 % Disequality decompositions : 0
% 47.48/8.29 % Total rewrite steps : 72948
% 47.48/8.29 % ...of those cached : 66904
% 47.48/8.29 % Propositional unsat checks : 0
% 47.48/8.29 % Propositional check models : 0
% 47.48/8.29 % Propositional check unsatisfiable : 0
% 47.48/8.29 % Propositional clauses : 0
% 47.48/8.29 % Propositional clauses after purity: 0
% 47.48/8.29 % Propositional unsat core size : 0
% 47.48/8.29 % Propositional preprocessing time : 0.000
% 47.48/8.29 % Propositional encoding time : 0.000
% 47.48/8.29 % Propositional solver time : 0.000
% 47.48/8.29 % Success case prop preproc time : 0.000
% 47.48/8.29 % Success case prop encoding time : 0.000
% 47.48/8.29 % Success case prop solver time : 0.000
% 47.48/8.29 % Current number of processed clauses : 3448
% 47.48/8.29 % Positive orientable unit clauses : 742
% 47.48/8.29 % Positive unorientable unit clauses: 0
% 47.48/8.29 % Negative unit clauses : 598
% 47.48/8.29 % Non-unit-clauses : 2108
% 47.48/8.29 % Current number of unprocessed clauses: 360825
% 47.48/8.29 % ...number of literals in the above : 1245694
% 47.48/8.29 % Current number of archived formulas : 0
% 47.48/8.29 % Current number of archived clauses : 736
% 47.48/8.29 % Clause-clause subsumption calls (NU) : 475828
% 47.48/8.29 % Rec. Clause-clause subsumption calls : 364315
% 47.48/8.29 % Non-unit clause-clause subsumptions : 8525
% 47.48/8.29 % Unit Clause-clause subsumption calls : 129845
% 47.48/8.29 % Rewrite failures with RHS unbound : 0
% 47.48/8.29 % BW rewrite match attempts : 6530
% 47.48/8.29 % BW rewrite match successes : 74
% 47.48/8.29 % Condensation attempts : 0
% 47.48/8.29 % Condensation successes : 0
% 47.48/8.29 % Termbank termtop insertions : 6099201
% 47.48/8.29 % Search garbage collected termcells : 11445
% 47.48/8.29
% 47.48/8.29 % -------------------------------------------------
% 47.48/8.29 % User time : 7.587 s
% 47.48/8.29 % System time : 0.271 s
% 47.48/8.29 % Total time : 7.858 s
% 47.48/8.29 % Maximum resident set size: 6420 pages
% 47.48/8.29
% 47.48/8.29 % -------------------------------------------------
% 47.48/8.29 % User time : 7.668 s
% 47.48/8.29 % System time : 0.311 s
% 47.48/8.29 % Total time : 7.978 s
% 47.48/8.29 % Maximum resident set size: 5120 pages
% 47.48/8.29 % E exiting
%------------------------------------------------------------------------------