%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU616^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:26:56 AM UTC 2026
% Result : Theorem 0.24s 0.31s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU616^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:01:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p
% 0.24/0.31 % Version: 3.5.1-ho
% 0.24/0.31 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.24/0.31 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.31 % Starting ehoh_best5 with 300s (1) cores
% 0.24/0.31 % Starting almost_fo_3_lam with 300s (1) cores
% 0.24/0.31 % Starting new_bool_5 with 300s (1) cores
% 0.24/0.31 % Starting pre_casc_3 with 300s (1) cores
% 0.24/0.31 % Starting ho_unfolding_8 with 300s (1) cores
% 0.24/0.31 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.24/0.31 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.31 % Starting new_ho_5 with 300s (1) cores
% 0.24/0.31 % new_bool_5 with pid 1330940 completed with status 0
% 0.24/0.31 % Result found by new_bool_5
% 0.24/0.31 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.24/0.31 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.31 % Starting ehoh_best5 with 300s (1) cores
% 0.24/0.31 % Starting almost_fo_3_lam with 300s (1) cores
% 0.24/0.31 % Starting new_bool_5 with 300s (1) cores
% 0.24/0.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.24/0.31 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.24/0.31 % Search class: HGHSM-FSLS31-SHFMMSBN
% 0.24/0.31 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.31 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.31 % SubtermCWHack with pid 1330953 completed with status 0
% 0.24/0.31 % Result found by SubtermCWHack
% 0.24/0.31 % Preprocessing class: HSLMSLSSLLLCHFA.
% 0.24/0.31 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.31 % Starting ehoh_best5 with 300s (1) cores
% 0.24/0.31 % Starting almost_fo_3_lam with 300s (1) cores
% 0.24/0.31 % Starting new_bool_5 with 300s (1) cores
% 0.24/0.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.24/0.31 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.24/0.31 % Search class: HGHSM-FSLS31-SHFMMSBN
% 0.24/0.31 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.31 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.31 % Preprocessing time : 0.002 s
% 0.24/0.31
% 0.24/0.31 % Proof found!
% 0.24/0.31 % SZS status Theorem
% 0.24/0.31 % SZS output start CNFRefutation
% 0.24/0.31 thf(decl_23, type, in: $i > $i > $o).
% 0.24/0.31 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.24/0.31 thf(decl_25, type, setextAx: $o).
% 0.24/0.31 thf(decl_26, type, emptyset: $i).
% 0.24/0.31 thf(decl_27, type, emptysetAx: $o).
% 0.24/0.31 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.24/0.31 thf(decl_29, type, setadjoinAx: $o).
% 0.24/0.31 thf(decl_30, type, powerset: $i > $i).
% 0.24/0.31 thf(decl_31, type, powersetAx: $o).
% 0.24/0.31 thf(decl_32, type, setunion: $i > $i).
% 0.24/0.31 thf(decl_33, type, setunionAx: $o).
% 0.24/0.31 thf(decl_34, type, omega: $i).
% 0.24/0.31 thf(decl_35, type, omega0Ax: $o).
% 0.24/0.31 thf(decl_36, type, omegaSAx: $o).
% 0.24/0.31 thf(decl_37, type, omegaIndAx: $o).
% 0.24/0.31 thf(decl_38, type, replAx: $o).
% 0.24/0.31 thf(decl_39, type, foundationAx: $o).
% 0.24/0.31 thf(decl_40, type, wellorderingAx: $o).
% 0.24/0.31 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.24/0.31 thf(decl_42, type, descrp: $o).
% 0.24/0.31 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.24/0.31 thf(decl_44, type, dsetconstrI: $o).
% 0.24/0.31 thf(decl_45, type, dsetconstrEL: $o).
% 0.24/0.31 thf(decl_46, type, dsetconstrER: $o).
% 0.24/0.31 thf(decl_47, type, exuE1: $o).
% 0.24/0.31 thf(decl_48, type, prop2set: $o > $i).
% 0.24/0.31 thf(decl_49, type, prop2setE: $o).
% 0.24/0.31 thf(decl_50, type, emptysetE: $o).
% 0.24/0.31 thf(decl_51, type, emptysetimpfalse: $o).
% 0.24/0.31 thf(decl_52, type, notinemptyset: $o).
% 0.24/0.31 thf(decl_53, type, exuE3e: $o).
% 0.24/0.31 thf(decl_54, type, setext: $o).
% 0.24/0.31 thf(decl_55, type, emptyI: $o).
% 0.24/0.31 thf(decl_56, type, noeltsimpempty: $o).
% 0.24/0.31 thf(decl_57, type, setbeta: $o).
% 0.24/0.31 thf(decl_58, type, nonempty: $i > $o).
% 0.24/0.31 thf(decl_59, type, nonemptyE1: $o).
% 0.24/0.31 thf(decl_60, type, nonemptyI: $o).
% 0.24/0.31 thf(decl_61, type, nonemptyI1: $o).
% 0.24/0.31 thf(decl_62, type, setadjoinIL: $o).
% 0.24/0.31 thf(decl_63, type, emptyinunitempty: $o).
% 0.24/0.31 thf(decl_64, type, setadjoinIR: $o).
% 0.24/0.31 thf(decl_65, type, setadjoinE: $o).
% 0.24/0.31 thf(decl_66, type, setadjoinOr: $o).
% 0.24/0.31 thf(decl_67, type, setoftrueEq: $o).
% 0.24/0.31 thf(decl_68, type, powersetI: $o).
% 0.24/0.31 thf(decl_69, type, emptyinPowerset: $o).
% 0.24/0.31 thf(decl_70, type, emptyInPowerset: $o).
% 0.24/0.31 thf(decl_71, type, powersetE: $o).
% 0.24/0.31 thf(decl_72, type, setunionI: $o).
% 0.24/0.31 thf(decl_73, type, setunionE: $o).
% 0.24/0.31 thf(decl_74, type, subPowSU: $o).
% 0.24/0.31 thf(decl_75, type, exuE2: $o).
% 0.24/0.31 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.24/0.31 thf(decl_77, type, uniqinunit: $o).
% 0.24/0.31 thf(decl_78, type, notinsingleton: $o).
% 0.24/0.31 thf(decl_79, type, eqinunit: $o).
% 0.24/0.31 thf(decl_80, type, singletonsswitch: $o).
% 0.24/0.31 thf(decl_81, type, upairsetE: $o).
% 0.24/0.31 thf(decl_82, type, upairsetIL: $o).
% 0.24/0.31 thf(decl_83, type, upairsetIR: $o).
% 0.24/0.31 thf(decl_84, type, emptyE1: $o).
% 0.24/0.31 thf(decl_85, type, vacuousDall: $o).
% 0.24/0.31 thf(decl_86, type, quantDeMorgan1: $o).
% 0.24/0.31 thf(decl_87, type, quantDeMorgan2: $o).
% 0.24/0.31 thf(decl_88, type, quantDeMorgan3: $o).
% 0.24/0.31 thf(decl_89, type, quantDeMorgan4: $o).
% 0.24/0.31 thf(decl_90, type, prop2setI: $o).
% 0.24/0.31 thf(decl_92, type, prop2set2propI: $o).
% 0.24/0.31 thf(decl_93, type, notdexE: $o).
% 0.24/0.31 thf(decl_94, type, notdallE: $o).
% 0.24/0.31 thf(decl_95, type, exuI1: $o).
% 0.24/0.31 thf(decl_96, type, exuI3: $o).
% 0.24/0.31 thf(decl_97, type, exuI2: $o).
% 0.24/0.31 thf(decl_98, type, inCongP: $o).
% 0.24/0.31 thf(decl_99, type, in__Cong: $o).
% 0.24/0.31 thf(decl_100, type, exuE3u: $o).
% 0.24/0.31 thf(decl_101, type, exu__Cong: $o).
% 0.24/0.31 thf(decl_102, type, emptyset__Cong: $o).
% 0.24/0.31 thf(decl_103, type, setadjoin__Cong: $o).
% 0.24/0.31 thf(decl_104, type, powerset__Cong: $o).
% 0.24/0.31 thf(decl_105, type, setunion__Cong: $o).
% 0.24/0.31 thf(decl_106, type, omega__Cong: $o).
% 0.24/0.31 thf(decl_107, type, exuEu: $o).
% 0.24/0.31 thf(decl_108, type, descr__Cong: $o).
% 0.24/0.31 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.24/0.31 thf(decl_110, type, subset: $i > $i > $o).
% 0.24/0.31 thf(decl_113, type, subsetI1: $o).
% 0.24/0.31 thf(decl_114, type, eqimpsubset2: $o).
% 0.24/0.31 thf(decl_115, type, eqimpsubset1: $o).
% 0.24/0.31 thf(decl_116, type, subsetI2: $o).
% 0.24/0.31 thf(decl_117, type, emptysetsubset: $o).
% 0.24/0.31 thf(decl_118, type, subsetE: $o).
% 0.24/0.31 thf(decl_119, type, subsetE2: $o).
% 0.24/0.31 thf(decl_120, type, notsubsetI: $o).
% 0.24/0.31 thf(decl_121, type, notequalI1: $o).
% 0.24/0.31 thf(decl_122, type, notequalI2: $o).
% 0.24/0.31 thf(decl_123, type, subsetRefl: $o).
% 0.24/0.31 thf(decl_124, type, subsetTrans: $o).
% 0.24/0.31 thf(decl_125, type, setadjoinSub: $o).
% 0.24/0.31 thf(decl_126, type, setadjoinSub2: $o).
% 0.24/0.31 thf(decl_127, type, subset2powerset: $o).
% 0.24/0.31 thf(decl_128, type, setextsub: $o).
% 0.24/0.31 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.24/0.31 thf(decl_130, type, powersetI1: $o).
% 0.24/0.31 thf(decl_131, type, powersetE1: $o).
% 0.24/0.31 thf(decl_132, type, inPowerset: $o).
% 0.24/0.31 thf(decl_133, type, powersetsubset: $o).
% 0.24/0.31 thf(decl_134, type, sepInPowerset: $o).
% 0.24/0.31 thf(decl_135, type, sepSubset: $o).
% 0.24/0.31 thf(decl_136, type, binunion: $i > $i > $i).
% 0.24/0.31 thf(decl_137, type, binunionIL: $o).
% 0.24/0.31 thf(decl_138, type, upairset2IR: $o).
% 0.24/0.31 thf(decl_139, type, binunionIR: $o).
% 0.24/0.31 thf(decl_140, type, binunionEcases: $o).
% 0.24/0.31 thf(decl_141, type, binunionE: $o).
% 0.24/0.31 thf(decl_142, type, binunionLsub: $o).
% 0.24/0.31 thf(decl_143, type, binunionRsub: $o).
% 0.24/0.31 thf(decl_144, type, binintersect: $i > $i > $i).
% 0.24/0.31 thf(decl_145, type, binintersectI: $o).
% 0.24/0.31 thf(decl_146, type, binintersectSubset5: $o).
% 0.24/0.31 thf(decl_147, type, binintersectEL: $o).
% 0.24/0.31 thf(decl_148, type, binintersectLsub: $o).
% 0.24/0.31 thf(decl_149, type, binintersectSubset2: $o).
% 0.24/0.31 thf(decl_150, type, binintersectSubset3: $o).
% 0.24/0.31 thf(decl_151, type, binintersectER: $o).
% 0.24/0.31 thf(decl_152, type, disjointsetsI1: $o).
% 0.24/0.31 thf(decl_153, type, binintersectRsub: $o).
% 0.24/0.31 thf(decl_154, type, binintersectSubset4: $o).
% 0.24/0.31 thf(decl_155, type, binintersectSubset1: $o).
% 0.24/0.31 thf(decl_156, type, bs114d: $o).
% 0.24/0.31 thf(decl_158, type, setminus: $i > $i > $i).
% 0.24/0.31 thf(decl_159, type, setminusI: $o).
% 0.24/0.31 thf(decl_160, type, setminusEL: $o).
% 0.24/0.31 thf(decl_161, type, setminusER: $o).
% 0.24/0.31 thf(decl_162, type, setminusSubset2: $o).
% 0.24/0.31 thf(decl_163, type, setminusERneg: $o).
% 0.24/0.31 thf(decl_164, type, setminusELneg: $o).
% 0.24/0.31 thf(decl_165, type, setminusILneg: $o).
% 0.24/0.31 thf(decl_166, type, setminusIRneg: $o).
% 0.24/0.31 thf(decl_167, type, setminusLsub: $o).
% 0.24/0.31 thf(decl_168, type, setminusSubset1: $o).
% 0.24/0.31 thf(decl_169, type, symdiff: $i > $i > $i).
% 0.24/0.31 thf(decl_170, type, symdiffE: $o).
% 0.24/0.31 thf(decl_171, type, symdiffI1: $o).
% 0.24/0.31 thf(decl_172, type, symdiffI2: $o).
% 0.24/0.31 thf(decl_173, type, symdiffIneg1: $o).
% 0.24/0.31 thf(decl_174, type, symdiffIneg2: $o).
% 0.24/0.31 thf(decl_176, type, epred1_0: $o).
% 0.24/0.31 thf(decl_177, type, esk1_2: $i > $i > $i).
% 0.24/0.31 thf(decl_178, type, esk2_2: $i > $i > $i).
% 0.24/0.31 thf(decl_179, type, esk3_2: $i > $i > $i).
% 0.24/0.31 thf(decl_180, type, esk4_1: $i > $i).
% 0.24/0.31 thf(decl_181, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.24/0.31 thf(decl_182, type, esk6_2: ($i > $i > $o) > $i > $i).
% 0.24/0.31 thf(decl_183, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 0.24/0.31 thf(decl_184, type, esk8_1: $i > $i).
% 0.24/0.31 thf(decl_185, type, esk9_1: ($i > $o) > $i).
% 0.24/0.31 thf(decl_186, type, esk10_1: ($i > $o) > $i).
% 0.24/0.31 thf(decl_187, type, esk11_2: $i > $i > $i).
% 0.24/0.31 thf(decl_188, type, esk12_2: $i > $i > $i).
% 0.24/0.31 thf(decl_189, type, esk13_1: $i > $i).
% 0.24/0.31 thf(decl_190, type, esk14_1: $i > $i).
% 0.24/0.31 thf(decl_191, type, esk15_1: $i > $i).
% 0.24/0.31 thf(decl_192, type, esk16_2: $i > $i > $i).
% 0.24/0.31 thf(decl_193, type, esk17_3: $i > $i > $o > $i).
% 0.24/0.31 thf(decl_194, type, esk18_1: ($i > $o) > $i).
% 0.24/0.31 thf(decl_195, type, esk19_1: $i > $i).
% 0.24/0.31 thf(decl_196, type, esk20_2: $i > ($i > $o) > $i).
% 0.24/0.31 thf(decl_197, type, esk21_2: $i > ($i > $o) > $i).
% 0.24/0.31 thf(decl_198, type, esk22_2: $i > ($i > $o) > $i).
% 0.24/0.31 thf(decl_199, type, esk23_2: $i > ($i > $o) > $i).
% 0.24/0.31 thf(decl_200, type, esk24_2: $i > ($i > $o) > $i).
% 0.24/0.31 thf(decl_201, type, esk25_2: $i > ($i > $o) > $i).
% 0.24/0.31 thf(decl_202, type, esk26_2: ($i > $o) > $i > $i).
% 0.24/0.31 thf(decl_203, type, esk27_1: ($i > $o) > $i).
% 0.24/0.31 thf(decl_204, type, esk28_1: ($i > $o) > $i).
% 0.24/0.31 thf(decl_205, type, esk29_2: ($i > $o) > $i > $i).
% 0.24/0.31 thf(decl_206, type, esk30_2: ($i > $o) > ($i > $o) > $i).
% 0.24/0.31 thf(decl_207, type, esk31_2: ($i > $o) > ($i > $o) > $i).
% 0.24/0.31 thf(decl_208, type, esk32_2: ($i > $o) > ($i > $o) > $i).
% 0.24/0.31 thf(decl_209, type, esk33_2: ($i > $o) > ($i > $o) > $i).
% 0.24/0.31 thf(decl_210, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.24/0.31 thf(decl_211, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.24/0.31 thf(decl_212, type, esk36_2: $i > $i > $i).
% 0.24/0.31 thf(decl_213, type, esk37_2: $i > $i > $i).
% 0.24/0.31 thf(decl_214, type, esk38_2: $i > $i > $i).
% 0.24/0.31 thf(decl_215, type, esk39_0: $i).
% 0.24/0.31 thf(decl_216, type, esk40_0: $i).
% 0.24/0.31 thf(secondinupair, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', secondinupair)).
% 0.24/0.31 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setbeta)).
% 0.24/0.31 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', exuE3e)).
% 0.24/0.31 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', nonemptyI)).
% 0.24/0.31 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setoftrueEq)).
% 0.24/0.31 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', exuE2)).
% 0.24/0.31 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', emptyE1)).
% 0.24/0.31 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', exu__Cong)).
% 0.24/0.31 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', exuE3u)).
% 0.24/0.31 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', exuI2)).
% 0.24/0.31 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', exuI3)).
% 0.24/0.31 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', exuI1)).
% 0.24/0.31 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', dsetconstr__Cong)).
% 0.24/0.31 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', descr__Cong)).
% 0.24/0.31 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', exuEu)).
% 0.24/0.31 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', sepSubset)).
% 0.24/0.31 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', sepInPowerset)).
% 0.24/0.31 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', exuE1)).
% 0.24/0.31 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', dsetconstrER)).
% 0.24/0.31 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', dsetconstrEL)).
% 0.24/0.31 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', dsetconstrI)).
% 0.24/0.31 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', descrp)).
% 0.24/0.31 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', replAx)).
% 0.24/0.31 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binintersectSubset5)).
% 0.24/0.31 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binunionRsub)).
% 0.24/0.31 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binintersectI)).
% 0.24/0.31 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binintersectEL)).
% 0.24/0.31 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binintersectLsub)).
% 0.24/0.31 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binintersectSubset2)).
% 0.24/0.31 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binintersectSubset3)).
% 0.24/0.31 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', nonemptyE1)).
% 0.24/0.31 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binintersectER)).
% 0.24/0.31 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', disjointsetsI1)).
% 0.24/0.31 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', noeltsimpempty)).
% 0.24/0.31 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binintersectRsub)).
% 0.24/0.31 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', emptyI)).
% 0.24/0.31 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binintersectSubset4)).
% 0.24/0.31 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setext)).
% 0.24/0.31 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binintersectSubset1)).
% 0.24/0.31 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', bs114d)).
% 0.24/0.31 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', notinemptyset)).
% 0.24/0.31 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setminusI)).
% 0.24/0.31 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setminusEL)).
% 0.24/0.31 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setminusER)).
% 0.24/0.31 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setminusSubset2)).
% 0.24/0.31 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setminusERneg)).
% 0.24/0.31 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setminusELneg)).
% 0.24/0.31 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setminusILneg)).
% 0.24/0.31 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setminusIRneg)).
% 0.24/0.31 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setminusLsub)).
% 0.24/0.31 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setminusSubset1)).
% 0.24/0.31 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', symdiffE)).
% 0.24/0.31 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', symdiffI1)).
% 0.24/0.31 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', symdiffI2)).
% 0.24/0.31 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', symdiffIneg1)).
% 0.24/0.31 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', symdiffIneg2)).
% 0.24/0.31 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setadjoinOr)).
% 0.24/0.31 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setadjoinE)).
% 0.24/0.31 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setadjoinIR)).
% 0.24/0.31 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', emptyinunitempty)).
% 0.24/0.31 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setadjoinIL)).
% 0.24/0.31 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', nonemptyI1)).
% 0.24/0.31 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', powersetI)).
% 0.24/0.31 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', subPowSU)).
% 0.24/0.31 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setunionE)).
% 0.24/0.31 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setunionI)).
% 0.24/0.31 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', powersetE)).
% 0.24/0.31 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', emptyInPowerset)).
% 0.24/0.31 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', emptyinPowerset)).
% 0.24/0.31 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', nonemptyImpWitness)).
% 0.24/0.31 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', eqimpsubset2)).
% 0.24/0.31 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', notequalI1)).
% 0.24/0.31 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setextsub)).
% 0.24/0.31 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', subset2powerset)).
% 0.24/0.31 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setadjoinSub2)).
% 0.24/0.31 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setadjoinSub)).
% 0.24/0.31 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', upairsetIR)).
% 0.24/0.31 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', upairsetIL)).
% 0.24/0.31 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', upairsetE)).
% 0.24/0.31 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', singletonsswitch)).
% 0.24/0.31 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', eqinunit)).
% 0.24/0.31 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', notinsingleton)).
% 0.24/0.31 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', uniqinunit)).
% 0.24/0.31 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', notdexE)).
% 0.24/0.31 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', prop2setI)).
% 0.24/0.31 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', quantDeMorgan4)).
% 0.24/0.31 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', quantDeMorgan3)).
% 0.24/0.31 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', quantDeMorgan2)).
% 0.24/0.31 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', quantDeMorgan1)).
% 0.24/0.31 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', vacuousDall)).
% 0.24/0.31 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', notdallE)).
% 0.24/0.31 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', in__Cong)).
% 0.24/0.31 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', inCongP)).
% 0.24/0.31 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', emptyset__Cong)).
% 0.24/0.31 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', omega__Cong)).
% 0.24/0.31 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setunion__Cong)).
% 0.24/0.31 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', powerset__Cong)).
% 0.24/0.31 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setadjoin__Cong)).
% 0.24/0.31 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', subsetI1)).
% 0.24/0.31 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', notsubsetI)).
% 0.24/0.31 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', subsetE2)).
% 0.24/0.31 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', subsetE)).
% 0.24/0.31 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', emptysetsubset)).
% 0.24/0.31 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', subsetI2)).
% 0.24/0.31 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', eqimpsubset1)).
% 0.24/0.31 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', subsetTrans)).
% 0.24/0.31 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', subsetRefl)).
% 0.24/0.31 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', notequalI2)).
% 0.24/0.31 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', subsetemptysetimpeq)).
% 0.24/0.31 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binunionIL)).
% 0.24/0.31 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', powersetsubset)).
% 0.24/0.31 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', inPowerset)).
% 0.24/0.31 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', powersetE1)).
% 0.24/0.31 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binunionIR)).
% 0.24/0.31 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binunionEcases)).
% 0.24/0.31 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binunionE)).
% 0.24/0.31 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', binunionLsub)).
% 0.24/0.31 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', powersetI1)).
% 0.24/0.31 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', upairset2IR)).
% 0.24/0.31 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', emptysetimpfalse)).
% 0.24/0.31 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', emptysetE)).
% 0.24/0.31 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', prop2setE)).
% 0.24/0.31 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', wellorderingAx)).
% 0.24/0.31 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', foundationAx)).
% 0.24/0.31 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', omegaIndAx)).
% 0.24/0.31 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', omegaSAx)).
% 0.24/0.31 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', omega0Ax)).
% 0.24/0.31 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setunionAx)).
% 0.24/0.31 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', powersetAx)).
% 0.24/0.31 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setadjoinAx)).
% 0.24/0.31 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', emptysetAx)).
% 0.24/0.31 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.4QUQw7g0sD/E---3.1_1330907.p', setextAx)).
% 0.24/0.31 thf(c_0_132, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[secondinupair])).
% 0.24/0.31 thf(c_0_133, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.24/0.31 thf(c_0_134, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.24/0.31 thf(c_0_135, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.24/0.31 thf(c_0_136, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.24/0.31 thf(c_0_137, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.24/0.31 thf(c_0_138, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 0.24/0.31 thf(c_0_139, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.24/0.31 thf(c_0_140, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 0.24/0.31 thf(c_0_141, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.24/0.31 thf(c_0_142, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.24/0.31 thf(c_0_143, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 0.24/0.31 thf(c_0_144, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.24/0.31 thf(c_0_145, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.24/0.31 thf(c_0_146, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.24/0.31 thf(c_0_147, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.24/0.31 thf(c_0_148, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.24/0.31 thf(c_0_149, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.24/0.31 thf(c_0_150, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.24/0.31 thf(c_0_151, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.24/0.31 thf(c_0_152, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.24/0.31 thf(c_0_153, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.24/0.31 thf(c_0_154, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.24/0.31 thf(c_0_155, plain, ((epred1_0)<=>![X403:$i]:(?[X404:$i]:((((![X405:$i]:(((in @ X405 @ X404)=>![X406:$i]:(((in @ X406 @ X405)=>(in @ X406 @ X403)))))&![X407:$i, X408:$i]:((((in @ X407 @ X403)&(in @ X408 @ X403))=>(![X409:$i]:(((in @ X409 @ X404)=>((in @ X407 @ X409)<=>(in @ X408 @ X409))))=>((X407)=(X408))))))&![X410:$i, X411:$i]:((((in @ X410 @ X404)&(in @ X411 @ X404))=>(![X412:$i]:(((in @ X412 @ X410)=>(in @ X412 @ X411)))|![X413:$i]:(((in @ X413 @ X411)=>(in @ X413 @ X410)))))))&![X414:$i]:(((![X415:$i]:(((in @ X415 @ X414)=>(in @ X415 @ X403)))&?[X416:$i]:((in @ X416 @ X414)))=>?[X417:$i, X418:$i]:(((((in @ X417 @ X404)&(in @ X418 @ X414))&~(?[X419:$i]:(((in @ X419 @ X417)&(in @ X419 @ X414)))))&![X420:$i]:(((in @ X420 @ X404)=>(![X421:$i]:(((in @ X421 @ X420)=>(in @ X421 @ X417)))|(in @ X418 @ X420)))))))))))), introduced(definition)).
% 0.24/0.31 thf(c_0_156, negated_conjecture, ~((![X376:$i, X377:$i]:((![X378:$i]:(((in @ X378 @ X376)<=>(in @ X378 @ X377)))=>((X376)=(X377))))=>(![X379:$i]:(~(in @ X379 @ emptyset))=>(![X380:$i, X381:$i, X382:$i]:(((in @ X382 @ (setadjoin @ X380 @ X381))<=>(((X382)=(X380))|(in @ X382 @ X381))))=>(![X383:$i, X384:$i]:(((in @ X384 @ (powerset @ X383))<=>![X385:$i]:(((in @ X385 @ X384)=>(in @ X385 @ X383)))))=>(![X386:$i, X387:$i]:(((in @ X387 @ (setunion @ X386))<=>?[X388:$i]:(((in @ X387 @ X388)&(in @ X388 @ X386)))))=>((in @ emptyset @ omega)=>(![X389:$i]:(((in @ X389 @ omega)=>(in @ (setadjoin @ X389 @ X389) @ omega)))=>(![X390:$i]:((((in @ emptyset @ X390)&![X391:$i]:((((in @ X391 @ omega)&(in @ X391 @ X390))=>(in @ (setadjoin @ X391 @ X391) @ X390))))=>![X392:$i]:(((in @ X392 @ omega)=>(in @ X392 @ X390)))))=>(![X393:$i > $i > $o, X394:$i]:((![X395:$i]:(((in @ X395 @ X394)=>(exu @ (X393 @ X395))))=>?[X396:$i]:(![X397:$i]:(((in @ X397 @ X396)<=>?[X398:$i]:(((in @ X398 @ X394)&(X393 @ X398 @ X397))))))))=>(![X399:$i]:((?[X400:$i]:((in @ X400 @ X399))=>?[X401:$i]:(((in @ X401 @ X399)&~(?[X402:$i]:(((in @ X402 @ X401)&(in @ X402 @ X399))))))))=>((epred1_0)=>(![X422:$i > $o]:(((exu @ X422)=>(X422 @ (descr @ (^[Z0:$i]:(X422 @ Z0))))))=>(![X423:$i, X424:$i > $o, X425:$i]:(((in @ X425 @ X423)=>((X424 @ X425)=>(in @ X425 @ (dsetconstr @ X423 @ X424)))))=>(![X426:$i, X427:$i > $o, X428:$i]:(((in @ X428 @ (dsetconstr @ X426 @ X427))=>(in @ X428 @ X426)))=>(![X429:$i, X430:$i > $o, X431:$i]:(((in @ X431 @ (dsetconstr @ X429 @ X430))=>(X430 @ X431)))=>(![X432:$i > $o]:(((exu @ X432)=>?[X433:$i]:(((X432 @ X433)&![X434:$i]:(((X432 @ X434)=>((X433)=(X434))))))))=>(![X435:$o, X436:$i]:(((in @ X436 @ (prop2set @ ((X435))))=>(X435)))=>(![X437:$i]:(((in @ X437 @ emptyset)=>![X438:$o]:((X438))))=>(![X439:$i]:(((in @ X439 @ emptyset)=>~($true)))=>(![X440:$i]:(~(in @ X440 @ emptyset))=>(![X441:$i > $o]:(((exu @ X441)=>?[X442:$i]:((X441 @ X442))))=>(![X443:$i, X444:$i]:((![X445:$i]:(((in @ X445 @ X443)=>(in @ X445 @ X444)))=>(![X446:$i]:(((in @ X446 @ X444)=>(in @ X446 @ X443)))=>((X443)=(X444)))))=>(![X447:$i]:((![X448:$i]:(~(in @ X448 @ X447))=>((X447)=(emptyset))))=>(![X449:$i]:((![X450:$i]:(~(in @ X450 @ X449))=>((X449)=(emptyset))))=>(![X451:$i, X452:$i > $o, X453:$i]:(((in @ X453 @ X451)=>((in @ X453 @ (dsetconstr @ X451 @ X452))<=>(X452 @ X453))))=>(![X454:$i]:(((nonempty @ X454)=>?[X455:$i]:((in @ X455 @ X454))))=>(![X456:$i, X457:$i > $o, X458:$i]:(((in @ X458 @ X456)=>((X457 @ X458)=>(nonempty @ (dsetconstr @ X456 @ X457)))))=>(![X459:$i]:((?[X460:$i]:((in @ X460 @ X459))=>(nonempty @ X459)))=>(![X461:$i, X462:$i]:((in @ X461 @ (setadjoin @ X461 @ X462)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X463:$i, X464:$i, X465:$i]:(((in @ X465 @ X464)=>(in @ X465 @ (setadjoin @ X463 @ X464))))=>(![X466:$i, X467:$i, X468:$i]:(((in @ X468 @ (setadjoin @ X466 @ X467))=>![X469:$o]:(((((X468)=(X466))=>(X469))=>(((in @ X468 @ X467)=>(X469))=>(X469))))))=>(![X470:$i, X471:$i, X472:$i]:(((in @ X472 @ (setadjoin @ X470 @ X471))=>(((X472)=(X470))|(in @ X472 @ X471))))=>(![X473:$i]:(((dsetconstr @ X473 @ (^[Z0:$i]:($true)))=(X473)))=>(![X474:$i, X475:$i]:((![X476:$i]:(((in @ X476 @ X475)=>(in @ X476 @ X474)))=>(in @ X475 @ (powerset @ X474))))=>(![X477:$i]:((in @ emptyset @ (powerset @ X477)))=>(![X478:$i]:((in @ emptyset @ (powerset @ X478)))=>(![X479:$i, X480:$i, X481:$i]:(((in @ X480 @ (powerset @ X479))=>((in @ X481 @ X480)=>(in @ X481 @ X479))))=>(![X482:$i, X483:$i, X484:$i]:(((in @ X483 @ X484)=>((in @ X484 @ X482)=>(in @ X483 @ (setunion @ X482)))))=>(![X485:$i, X486:$i]:(((in @ X486 @ (setunion @ X485))=>![X487:$o]:((![X488:$i]:(((in @ X486 @ X488)=>((in @ X488 @ X485)=>(X487))))=>(X487)))))=>(![X489:$i, X490:$i]:(((in @ X490 @ X489)=>(in @ X490 @ (powerset @ (setunion @ X489)))))=>(![X491:$i > $o]:(((exu @ X491)=>?[X492:$i]:(![X493:$i]:(((X491 @ X493)<=>((X493)=(X492)))))))=>(![X494:$i]:(((nonempty @ X494)=>?[X495:$i]:(((in @ X495 @ X494)&$true))))=>(![X496:$i, X497:$i]:(((in @ X496 @ (setadjoin @ X497 @ emptyset))=>((X496)=(X497))))=>(![X498:$i, X499:$i]:((((X498)!=(X499))=>~(in @ X499 @ (setadjoin @ X498 @ emptyset))))=>(![X500:$i, X501:$i]:((((X500)=(X501))=>(in @ X500 @ (setadjoin @ X501 @ emptyset))))=>(![X502:$i, X503:$i]:(((in @ X502 @ (setadjoin @ X503 @ emptyset))=>(in @ X503 @ (setadjoin @ X502 @ emptyset))))=>(![X504:$i, X505:$i, X506:$i]:(((in @ X506 @ (setadjoin @ X504 @ (setadjoin @ X505 @ emptyset)))=>(((X506)=(X504))|((X506)=(X505)))))=>(![X507:$i, X508:$i]:((in @ X507 @ (setadjoin @ X507 @ (setadjoin @ X508 @ emptyset))))=>(![X509:$i, X510:$i]:((in @ X510 @ (setadjoin @ X509 @ (setadjoin @ X510 @ emptyset))))=>(![X511:$i, X512:$i > $o]:((?[X513:$i]:(((in @ X513 @ X511)&(X512 @ X513)))=>(((dsetconstr @ X511 @ X512)=(emptyset))=>~($true))))=>(![X514:$i > $o, X515:$i]:(((in @ X515 @ emptyset)=>(X514 @ X515)))=>(![X516:$i, X517:$i > $o]:((~(![X518:$i]:(((in @ X518 @ X516)=>(X517 @ X518))))=>?[X519:$i]:(((in @ X519 @ X516)&~((X517 @ X519))))))=>(![X520:$i, X521:$i > $o]:((![X522:$i]:(((in @ X522 @ X520)=>~((X521 @ X522))))=>~(?[X523:$i]:(((in @ X523 @ X520)&(X521 @ X523))))))=>(![X524:$i, X525:$i > $o]:((~(?[X526:$i]:(((in @ X526 @ X524)&(X525 @ X526))))=>![X527:$i]:(((in @ X527 @ X524)=>~((X525 @ X527))))))=>(![X528:$i, X529:$i > $o]:((?[X530:$i]:(((in @ X530 @ X528)&~((X529 @ X530))))=>~(![X531:$i]:(((in @ X531 @ X528)=>(X529 @ X531))))))=>(![X532:$o]:(((X532)=>(in @ emptyset @ (prop2set @ ((X532))))))=>((prop2set2propI)=>(![X533:$i, X534:$i > $o]:((~(?[X535:$i]:(((in @ X535 @ X533)&(X534 @ X535))))=>![X536:$i]:(((in @ X536 @ X533)=>~((X534 @ X536))))))=>(![X537:$i, X538:$i > $o]:((~(![X539:$i]:(((in @ X539 @ X537)=>(X538 @ X539))))=>?[X540:$i]:(((in @ X540 @ X537)&~((X538 @ X540))))))=>(![X541:$i > $o]:((?[X542:$i]:(((X541 @ X542)&![X543:$i]:(((X541 @ X543)=>((X542)=(X543))))))=>(exu @ X541)))=>(![X544:$i > $o]:((?[X545:$i]:((X544 @ X545))=>(![X546:$i, X547:$i]:(((X544 @ X546)=>((X544 @ X547)=>((X546)=(X547)))))=>(exu @ X544))))=>(![X548:$i > $o]:((?[X549:$i]:(![X550:$i]:(((X548 @ X550)<=>((X550)=(X549)))))=>(exu @ X548)))=>(![X551:$i, X552:$i]:((((X551)=(X552))=>![X553:$i, X554:$i]:((((X553)=(X554))=>((in @ X553 @ X551)=>(in @ X554 @ X552))))))=>(![X555:$i, X556:$i]:((((X555)=(X556))=>![X557:$i, X558:$i]:((((X557)=(X558))=>((in @ X557 @ X555)<=>(in @ X558 @ X556))))))=>(![X559:$i > $o]:(((exu @ X559)=>![X560:$i, X561:$i]:(((X559 @ X560)=>((X559 @ X561)=>((X560)=(X561)))))))=>(![X562:$i > $o, X563:$i > $o]:((![X564:$i, X565:$i]:((((X564)=(X565))=>((X562 @ X564)<=>(X563 @ X565))))=>((exu @ X562)<=>(exu @ X563))))=>(((emptyset)=(emptyset))=>(![X566:$i, X567:$i]:((((X566)=(X567))=>![X568:$i, X569:$i]:((((X568)=(X569))=>((setadjoin @ X566 @ X568)=(setadjoin @ X567 @ X569))))))=>(![X570:$i, X571:$i]:((((X570)=(X571))=>((powerset @ X570)=(powerset @ X571))))=>(![X572:$i, X573:$i]:((((X572)=(X573))=>((setunion @ X572)=(setunion @ X573))))=>(((omega)=(omega))=>(![X574:$i > $o]:(((exu @ X574)=>![X575:$i, X576:$i]:(((X574 @ X575)=>((X574 @ X576)=>((X575)=(X576)))))))=>(![X577:$i > $o, X578:$i > $o]:((![X579:$i, X580:$i]:((((X579)=(X580))=>((X577 @ X579)<=>(X578 @ X580))))=>((exu @ X577)=>((exu @ X578)=>((descr @ X577)=(descr @ X578))))))=>(![X581:$i, X582:$i]:((((X581)=(X582))=>![X583:$i > $o, X584:$i > $o]:((![X585:$i]:(((in @ X585 @ X581)=>![X586:$i]:(((in @ X586 @ X582)=>(((X585)=(X586))=>((X583 @ X585)<=>(X584 @ X586)))))))=>((dsetconstr @ X581 @ X583)=(dsetconstr @ X582 @ X584))))))=>(![X587:$i, X588:$i]:((![X589:$i]:(((in @ X589 @ X587)=>(in @ X589 @ X588)))=>(subset @ X587 @ X588)))=>(![X590:$i, X591:$i]:((((X590)=(X591))=>(subset @ X591 @ X590)))=>(![X592:$i, X593:$i]:((((X592)=(X593))=>(subset @ X592 @ X593)))=>(![X594:$i, X595:$i]:((![X596:$i]:(((in @ X596 @ X594)=>(in @ X596 @ X595)))=>(subset @ X594 @ X595)))=>(![X597:$i]:((subset @ emptyset @ X597))=>(![X598:$i, X599:$i, X600:$i]:(((subset @ X598 @ X599)=>((in @ X600 @ X598)=>(in @ X600 @ X599))))=>(![X601:$i, X602:$i, X603:$i]:(((subset @ X601 @ X602)=>(~(in @ X603 @ X602)=>~(in @ X603 @ X601))))=>(![X604:$i, X605:$i, X606:$i]:(((in @ X606 @ X604)=>(~(in @ X606 @ X605)=>~(subset @ X604 @ X605))))=>(![X607:$i, X608:$i]:((~(subset @ X607 @ X608)=>((X607)!=(X608))))=>(![X609:$i, X610:$i, X611:$i]:(((in @ X611 @ X609)=>(~(in @ X611 @ X610)=>((X609)!=(X610)))))=>(![X612:$i]:((subset @ X612 @ X612))=>(![X613:$i, X614:$i, X615:$i]:(((subset @ X613 @ X614)=>((subset @ X614 @ X615)=>(subset @ X613 @ X615))))=>(![X616:$i, X617:$i]:((subset @ X617 @ (setadjoin @ X616 @ X617)))=>(![X618:$i, X619:$i, X620:$i]:(((subset @ X618 @ X620)=>(subset @ X618 @ (setadjoin @ X619 @ X620))))=>(![X621:$i, X622:$i]:(((subset @ X621 @ X622)=>(in @ X621 @ (powerset @ X622))))=>(![X623:$i, X624:$i]:(((subset @ X623 @ X624)=>((subset @ X624 @ X623)=>((X623)=(X624)))))=>(![X625:$i]:(((subset @ X625 @ emptyset)=>((X625)=(emptyset))))=>(![X626:$i, X627:$i]:(((subset @ X627 @ X626)=>(in @ X627 @ (powerset @ X626))))=>(![X628:$i, X629:$i]:(((in @ X629 @ (powerset @ X628))=>(subset @ X629 @ X628)))=>(![X630:$i]:((in @ X630 @ (powerset @ X630)))=>(![X631:$i, X632:$i]:(((subset @ X631 @ X632)=>(subset @ (powerset @ X631) @ (powerset @ X632))))=>(![X633:$i, X634:$i > $o]:((in @ (dsetconstr @ X633 @ X634) @ (powerset @ X633)))=>(![X635:$i, X636:$i > $o]:((subset @ (dsetconstr @ X635 @ X636) @ X635))=>(![X637:$i, X638:$i, X639:$i]:(((in @ X639 @ X637)=>(in @ X639 @ (binunion @ X637 @ X638))))=>(![X640:$i, X641:$i]:((in @ X641 @ (setadjoin @ X640 @ (setadjoin @ X641 @ emptyset))))=>(![X642:$i, X643:$i, X644:$i]:(((in @ X644 @ X643)=>(in @ X644 @ (binunion @ X642 @ X643))))=>(![X645:$i, X646:$i, X647:$i, X648:$o]:(((in @ X647 @ (binunion @ X645 @ X646))=>(((in @ X647 @ X645)=>(X648))=>(((in @ X647 @ X646)=>(X648))=>(X648)))))=>(![X649:$i, X650:$i, X651:$i]:(((in @ X651 @ (binunion @ X649 @ X650))=>((in @ X651 @ X649)|(in @ X651 @ X650))))=>(![X652:$i, X653:$i]:((subset @ X652 @ (binunion @ X652 @ X653)))=>(![X654:$i, X655:$i]:((subset @ X655 @ (binunion @ X654 @ X655)))=>(![X656:$i, X657:$i, X658:$i]:(((in @ X658 @ X656)=>((in @ X658 @ X657)=>(in @ X658 @ (binintersect @ X656 @ X657)))))=>(![X659:$i, X660:$i, X661:$i]:(((subset @ X661 @ X659)=>((subset @ X661 @ X660)=>(subset @ X661 @ (binintersect @ X659 @ X660)))))=>(![X662:$i, X663:$i, X664:$i]:(((in @ X664 @ (binintersect @ X662 @ X663))=>(in @ X664 @ X662)))=>(![X665:$i, X666:$i]:((subset @ (binintersect @ X665 @ X666) @ X665))=>(![X667:$i, X668:$i]:(((subset @ X667 @ X668)=>((binintersect @ X667 @ X668)=(X667))))=>(![X669:$i, X670:$i]:((((binintersect @ X669 @ X670)=(X670))=>(subset @ X670 @ X669)))=>(![X671:$i, X672:$i, X673:$i]:(((in @ X673 @ (binintersect @ X671 @ X672))=>(in @ X673 @ X672)))=>(![X674:$i, X675:$i]:((~(?[X676:$i]:(((in @ X676 @ X674)&(in @ X676 @ X675))))=>((binintersect @ X674 @ X675)=(emptyset))))=>(![X677:$i, X678:$i]:((subset @ (binintersect @ X677 @ X678) @ X678))=>(![X679:$i, X680:$i]:(((subset @ X680 @ X679)=>((binintersect @ X679 @ X680)=(X680))))=>(![X681:$i, X682:$i]:((((binintersect @ X681 @ X682)=(X681))=>(subset @ X681 @ X682)))=>(![X683:$i, X684:$i, X685:$i]:(((binintersect @ X683 @ (binunion @ X684 @ X685))=(binunion @ (binintersect @ X683 @ X684) @ (binintersect @ X683 @ X685))))=>(![X686:$i, X687:$i, X688:$i]:(((in @ X688 @ X686)=>(~(in @ X688 @ X687)=>(in @ X688 @ (setminus @ X686 @ X687)))))=>(![X689:$i, X690:$i, X691:$i]:(((in @ X691 @ (setminus @ X689 @ X690))=>(in @ X691 @ X689)))=>(![X692:$i, X693:$i, X694:$i]:(((in @ X694 @ (setminus @ X692 @ X693))=>~(in @ X694 @ X693)))=>(![X695:$i, X696:$i]:(((subset @ X695 @ X696)=>((setminus @ X695 @ X696)=(emptyset))))=>(![X697:$i, X698:$i, X699:$i]:((~(in @ X699 @ (setminus @ X697 @ X698))=>((in @ X699 @ X697)=>(in @ X699 @ X698))))=>(![X700:$i, X701:$i, X702:$i]:((~(in @ X702 @ (setminus @ X700 @ X701))=>(~(in @ X702 @ X701)=>~(in @ X702 @ X700))))=>(![X703:$i, X704:$i, X705:$i]:((~(in @ X705 @ X703)=>~(in @ X705 @ (setminus @ X703 @ X704))))=>(![X706:$i, X707:$i, X708:$i]:(((in @ X708 @ X707)=>~(in @ X708 @ (setminus @ X706 @ X707))))=>(![X709:$i, X710:$i]:((subset @ (setminus @ X709 @ X710) @ X709))=>(![X711:$i, X712:$i]:((((setminus @ X711 @ X712)=(emptyset))=>(subset @ X711 @ X712)))=>(![X713:$i, X714:$i, X715:$i]:(((in @ X715 @ (symdiff @ X713 @ X714))=>![X716:$o]:((((in @ X715 @ X713)=>(~(in @ X715 @ X714)=>(X716)))=>((~(in @ X715 @ X713)=>((in @ X715 @ X714)=>(X716)))=>(X716))))))=>(![X717:$i, X718:$i, X719:$i]:(((in @ X719 @ X717)=>(~(in @ X719 @ X718)=>(in @ X719 @ (symdiff @ X717 @ X718)))))=>(![X720:$i, X721:$i, X722:$i]:((~(in @ X722 @ X720)=>((in @ X722 @ X721)=>(in @ X722 @ (symdiff @ X720 @ X721)))))=>(![X723:$i, X724:$i, X725:$i]:(((in @ X725 @ X723)=>((in @ X725 @ X724)=>~(in @ X725 @ (symdiff @ X723 @ X724)))))=>(![X726:$i, X727:$i, X728:$i]:((~(in @ X728 @ X726)=>(~(in @ X728 @ X727)=>~(in @ X728 @ (symdiff @ X726 @ X727)))))=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_132, binintersectSubset5]), binunionRsub]), binintersectI]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), nonemptyE1]), binintersectER]), c_0_133]), disjointsetsI1]), noeltsimpempty]), binintersectRsub]), emptyI]), binintersectSubset4]), setext]), binintersectSubset1]), c_0_134]), bs114d]), notinemptyset]), setminusI]), c_0_135]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), c_0_136]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), nonemptyI1]), powersetI]), c_0_137]), subPowSU]), setunionE]), setunionI]), powersetE]), emptyInPowerset]), emptyinPowerset]), nonemptyImpWitness]), eqimpsubset2]), notequalI1]), setextsub]), subset2powerset]), setadjoinSub2]), setadjoinSub]), upairsetIR]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), notinsingleton]), uniqinunit]), c_0_138]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), vacuousDall]), notdallE]), c_0_139]), c_0_140]), in__Cong]), inCongP]), c_0_141]), c_0_142]), c_0_143]), emptyset__Cong]), c_0_144]), c_0_145]), c_0_146]), omega__Cong]), setunion__Cong]), powerset__Cong]), setadjoin__Cong]), subsetI1]), notsubsetI]), subsetE2]), subsetE]), emptysetsubset]), subsetI2]), eqimpsubset1]), subsetTrans]), subsetRefl]), notequalI2]), subsetemptysetimpeq]), binunionIL]), c_0_147]), c_0_148]), powersetsubset]), inPowerset]), powersetE1]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), powersetI1]), upairset2IR]), emptysetimpfalse]), emptysetE]), prop2setE]), c_0_149]), c_0_150]), c_0_151]), c_0_152]), c_0_153]), wellorderingAx]), foundationAx]), c_0_154]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_155])).
% 0.24/0.31 thf(c_0_157, negated_conjecture, ![X729:$i, X730:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$i, X742:$i, X743:$i, X745:$i, X746:$i, X747:$i, X748:$i, X749:$i, X751:$i, X752:$i > $i > $o, X753:$i, X756:$i, X758:$i, X759:$i, X760:$i, X761:$i, X763:$i, X764:$i > $o, X765:$i, X766:$i > $o, X767:$i, X768:$i, X769:$i > $o, X770:$i, X771:$i, X772:$i > $o, X773:$i, X774:$i > $o, X776:$i, X777:$o, X778:$i, X779:$i, X780:$o, X781:$i, X782:$i, X783:$i > $o, X785:$i, X786:$i, X789:$i, X791:$i, X793:$i, X794:$i > $o, X795:$i, X796:$i, X798:$i, X799:$i > $o, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$o, X812:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X819:$i, X820:$i, X821:$i, X822:$i, X823:$i, X824:$i, X825:$i, X826:$i, X827:$i, X828:$i, X829:$o, X831:$i, X832:$i, X833:$i > $o, X835:$i, X836:$i, X837:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i > $o, X856:$i, X857:$i > $o, X858:$i, X859:$i, X860:$i > $o, X861:$i, X863:$i, X864:$i > $o, X866:$i, X867:$i, X868:$i > $o, X870:$i, X871:$i, X872:$i > $o, X873:$i, X875:$o, X876:$i, X877:$i > $o, X879:$i, X880:$i, X881:$i > $o, X882:$i, X884:$i > $o, X885:$i, X887:$i > $o, X888:$i, X891:$i > $o, X892:$i, X894:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i > $o, X903:$i, X904:$i, X905:$i > $o, X906:$i > $o, X909:$i, X910:$i, X911:$i, X912:$i, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i > $o, X918:$i, X919:$i, X920:$i > $o, X921:$i > $o, X924:$i, X925:$i, X926:$i > $o, X927:$i > $o, X930:$i, X931:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X940:$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, X957:$i, X958:$i, X959:$i, X960:$i, X961:$i, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X967:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i > $o, X978:$i, X979:$i > $o, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i, X990:$i, X991:$o, X992:$i, X993:$i, X994:$i, X995:$i, X996:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i, X1007:$i, X1008:$i, X1009:$i, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, 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:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$o, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i]:((((~(in @ (esk1_2 @ X729 @ X730) @ X729)|~(in @ (esk1_2 @ X729 @ X730) @ X730)|((X729)=(X730)))&((in @ (esk1_2 @ X729 @ X730) @ X729)|(in @ (esk1_2 @ X729 @ X730) @ X730)|((X729)=(X730))))&(~(in @ X732 @ emptyset)&(((~(in @ X735 @ (setadjoin @ X733 @ X734))|(((X735)=(X733))|(in @ X735 @ X734)))&((((X735)!=(X733))|(in @ X735 @ (setadjoin @ X733 @ X734)))&(~(in @ X735 @ X734)|(in @ X735 @ (setadjoin @ X733 @ X734)))))&(((~(in @ X737 @ (powerset @ X736))|(~(in @ X738 @ X737)|(in @ X738 @ X736)))&(((in @ (esk2_2 @ X739 @ X740) @ X740)|(in @ X740 @ (powerset @ X739)))&(~(in @ (esk2_2 @ X739 @ X740) @ X739)|(in @ X740 @ (powerset @ X739)))))&(((((in @ X743 @ (esk3_2 @ X742 @ X743))|~(in @ X743 @ (setunion @ X742)))&((in @ (esk3_2 @ X742 @ X743) @ X742)|~(in @ X743 @ (setunion @ X742))))&(~(in @ X746 @ X747)|~(in @ X747 @ X745)|(in @ X746 @ (setunion @ X745))))&((in @ emptyset @ omega)&((~(in @ X748 @ omega)|(in @ (setadjoin @ X748 @ X748) @ omega))&(((((in @ (esk4_1 @ X749) @ omega)|~(in @ emptyset @ X749)|(~(in @ X751 @ omega)|(in @ X751 @ X749)))&((in @ (esk4_1 @ X749) @ X749)|~(in @ emptyset @ X749)|(~(in @ X751 @ omega)|(in @ X751 @ X749))))&(~(in @ (setadjoin @ (esk4_1 @ X749) @ (esk4_1 @ X749)) @ X749)|~(in @ emptyset @ X749)|(~(in @ X751 @ omega)|(in @ X751 @ X749))))&((((((in @ (esk7_3 @ X752 @ X753 @ X756) @ X753)|~(in @ X756 @ (esk6_2 @ X752 @ X753))|(in @ (esk5_2 @ X752 @ X753) @ X753))&((X752 @ (esk7_3 @ X752 @ X753 @ X756) @ X756)|~(in @ X756 @ (esk6_2 @ X752 @ X753))|(in @ (esk5_2 @ X752 @ X753) @ X753)))&(~(in @ X759 @ X753)|~(X752 @ X759 @ X758)|(in @ X758 @ (esk6_2 @ X752 @ X753))|(in @ (esk5_2 @ X752 @ X753) @ X753)))&((((in @ (esk7_3 @ X752 @ X753 @ X756) @ X753)|~(in @ X756 @ (esk6_2 @ X752 @ X753))|~(exu @ (X752 @ (esk5_2 @ X752 @ X753))))&((X752 @ (esk7_3 @ X752 @ X753 @ X756) @ X756)|~(in @ X756 @ (esk6_2 @ X752 @ X753))|~(exu @ (X752 @ (esk5_2 @ X752 @ X753)))))&(~(in @ X759 @ X753)|~(X752 @ X759 @ X758)|(in @ X758 @ (esk6_2 @ X752 @ X753))|~(exu @ (X752 @ (esk5_2 @ X752 @ X753))))))&((((in @ (esk8_1 @ X760) @ X760)|~(in @ X761 @ X760))&(~(in @ X763 @ (esk8_1 @ X760))|~(in @ X763 @ X760)|~(in @ X761 @ X760)))&((epred1_0)&((~(exu @ X764)|(X764 @ (descr @ X764)))&((~(in @ X767 @ X765)|(~(X766 @ X767)|(in @ X767 @ (dsetconstr @ X765 @ X766))))&((~(in @ X770 @ (dsetconstr @ X768 @ X769))|(in @ X770 @ X768))&((~(in @ X773 @ (dsetconstr @ X771 @ X772))|(X772 @ X773))&((((X774 @ (esk9_1 @ X774))|~(exu @ X774))&(~(X774 @ X776)|((esk9_1 @ X774)=(X776))|~(exu @ X774)))&((~(in @ X778 @ (prop2set @ ((X777))))|(X777))&((~(in @ X779 @ emptyset)|(X780))&((~(in @ X781 @ emptyset)|~($true))&(~(in @ X782 @ emptyset)&((~(exu @ X783)|(X783 @ (esk10_1 @ X783)))&(((((in @ (esk12_2 @ X785 @ X786) @ X786)|((X785)=(X786))|(in @ (esk11_2 @ X785 @ X786) @ X785))&(~(in @ (esk12_2 @ X785 @ X786) @ X785)|((X785)=(X786))|(in @ (esk11_2 @ X785 @ X786) @ X785)))&(((in @ (esk12_2 @ X785 @ X786) @ X786)|((X785)=(X786))|~(in @ (esk11_2 @ X785 @ X786) @ X786))&(~(in @ (esk12_2 @ X785 @ X786) @ X785)|((X785)=(X786))|~(in @ (esk11_2 @ X785 @ X786) @ X786))))&(((in @ (esk13_1 @ X789) @ X789)|((X789)=(emptyset)))&(((in @ (esk14_1 @ X791) @ X791)|((X791)=(emptyset)))&(((~(in @ X795 @ (dsetconstr @ X793 @ X794))|(X794 @ X795)|~(in @ X795 @ X793))&(~(X794 @ X795)|(in @ X795 @ (dsetconstr @ X793 @ X794))|~(in @ X795 @ X793)))&((~(nonempty @ X796)|(in @ (esk15_1 @ X796) @ X796))&((~(in @ X800 @ X798)|(~(X799 @ X800)|(nonempty @ (dsetconstr @ X798 @ X799))))&((~(in @ X802 @ X801)|(nonempty @ X801))&((in @ X803 @ (setadjoin @ X803 @ X804))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X807 @ X806)|(in @ X807 @ (setadjoin @ X805 @ X806)))&(((((in @ X810 @ X809)|(X811)|((X810)=(X808))|~(in @ X810 @ (setadjoin @ X808 @ X809)))&(~(X811)|(X811)|((X810)=(X808))|~(in @ X810 @ (setadjoin @ X808 @ X809))))&(((in @ X810 @ X809)|(X811)|~(X811)|~(in @ X810 @ (setadjoin @ X808 @ X809)))&(~(X811)|(X811)|~(X811)|~(in @ X810 @ (setadjoin @ X808 @ X809)))))&((~(in @ X814 @ (setadjoin @ X812 @ X813))|(((X814)=(X812))|(in @ X814 @ X813)))&(((dsetconstr @ X815 @ (^[Z0:$i]:($true)))=(X815))&((((in @ (esk16_2 @ X816 @ X817) @ X817)|(in @ X817 @ (powerset @ X816)))&(~(in @ (esk16_2 @ X816 @ X817) @ X816)|(in @ X817 @ (powerset @ X816))))&((in @ emptyset @ (powerset @ X819))&((in @ emptyset @ (powerset @ X820))&((~(in @ X822 @ (powerset @ X821))|(~(in @ X823 @ X822)|(in @ X823 @ X821)))&((~(in @ X825 @ X826)|(~(in @ X826 @ X824)|(in @ X825 @ (setunion @ X824))))&((((in @ X828 @ (esk17_3 @ X827 @ X828 @ X829))|(X829)|~(in @ X828 @ (setunion @ X827)))&(((in @ (esk17_3 @ X827 @ X828 @ X829) @ X827)|(X829)|~(in @ X828 @ (setunion @ X827)))&(~(X829)|(X829)|~(in @ X828 @ (setunion @ X827)))))&((~(in @ X832 @ X831)|(in @ X832 @ (powerset @ (setunion @ X831))))&(((~(X833 @ X835)|((X835)=(esk18_1 @ X833))|~(exu @ X833))&(((X836)!=(esk18_1 @ X833))|(X833 @ X836)|~(exu @ X833)))&((((in @ (esk19_1 @ X837) @ X837)|~(nonempty @ X837))&(($true)|~(nonempty @ X837)))&((~(in @ X839 @ (setadjoin @ X840 @ emptyset))|((X839)=(X840)))&((((X841)=(X842))|~(in @ X842 @ (setadjoin @ X841 @ emptyset)))&((((X843)!=(X844))|(in @ X843 @ (setadjoin @ X844 @ emptyset)))&((~(in @ X845 @ (setadjoin @ X846 @ emptyset))|(in @ X846 @ (setadjoin @ X845 @ emptyset)))&((~(in @ X849 @ (setadjoin @ X847 @ (setadjoin @ X848 @ emptyset)))|(((X849)=(X847))|((X849)=(X848))))&((in @ X850 @ (setadjoin @ X850 @ (setadjoin @ X851 @ emptyset)))&((in @ X853 @ (setadjoin @ X852 @ (setadjoin @ X853 @ emptyset)))&((~(in @ X856 @ X854)|~(X855 @ X856)|(((dsetconstr @ X854 @ X855)!=(emptyset))|~($true)))&((~(in @ X858 @ emptyset)|(X857 @ X858))&((((in @ (esk20_2 @ X859 @ X860) @ X859)|(~(in @ X861 @ X859)|(X860 @ X861)))&(~(X860 @ (esk20_2 @ X859 @ X860))|(~(in @ X861 @ X859)|(X860 @ X861))))&((((in @ (esk21_2 @ X863 @ X864) @ X863)|(~(in @ X866 @ X863)|~(X864 @ X866)))&((X864 @ (esk21_2 @ X863 @ X864))|(~(in @ X866 @ X863)|~(X864 @ X866))))&((((in @ (esk22_2 @ X867 @ X868) @ X867)|(~(in @ X870 @ X867)|~(X868 @ X870)))&((X868 @ (esk22_2 @ X867 @ X868))|(~(in @ X870 @ X867)|~(X868 @ X870))))&((((in @ (esk23_2 @ X871 @ X872) @ X871)|(~(in @ X873 @ X871)|(X872 @ X873)))&(~(X872 @ (esk23_2 @ X871 @ X872))|(~(in @ X873 @ X871)|(X872 @ X873))))&((~(X875)|(in @ emptyset @ (prop2set @ ((X875)))))&((prop2set2propI)&((((in @ (esk24_2 @ X876 @ X877) @ X876)|(~(in @ X879 @ X876)|~(X877 @ X879)))&((X877 @ (esk24_2 @ X876 @ X877))|(~(in @ X879 @ X876)|~(X877 @ X879))))&((((in @ (esk25_2 @ X880 @ X881) @ X880)|(~(in @ X882 @ X880)|(X881 @ X882)))&(~(X881 @ (esk25_2 @ X880 @ X881))|(~(in @ X882 @ X880)|(X881 @ X882))))&((((X884 @ (esk26_2 @ X884 @ X885))|~(X884 @ X885)|(exu @ X884))&(((X885)!=(esk26_2 @ X884 @ X885))|~(X884 @ X885)|(exu @ X884)))&((((X887 @ (esk27_1 @ X887))|(exu @ X887)|~(X887 @ X888))&(((X887 @ (esk28_1 @ X887))|(exu @ X887)|~(X887 @ X888))&(((esk27_1 @ X887)!=(esk28_1 @ X887))|(exu @ X887)|~(X887 @ X888))))&(((~(X891 @ (esk29_2 @ X891 @ X892))|((esk29_2 @ X891 @ X892)!=(X892))|(exu @ X891))&((X891 @ (esk29_2 @ X891 @ X892))|((esk29_2 @ X891 @ X892)=(X892))|(exu @ X891)))&((((X894)!=(X895))|(((X896)!=(X897))|(~(in @ X896 @ X894)|(in @ X897 @ X895))))&(((~(in @ X900 @ X898)|(in @ X901 @ X899)|((X900)!=(X901))|((X898)!=(X899)))&(~(in @ X901 @ X899)|(in @ X900 @ X898)|((X900)!=(X901))|((X898)!=(X899))))&((~(exu @ X902)|(~(X902 @ X903)|(~(X902 @ X904)|((X903)=(X904)))))&((((~(exu @ X905)|(exu @ X906)|((esk30_2 @ X905 @ X906)=(esk31_2 @ X905 @ X906)))&(~(exu @ X906)|(exu @ X905)|((esk30_2 @ X905 @ X906)=(esk31_2 @ X905 @ X906))))&(((~(exu @ X905)|(exu @ X906)|(~(X905 @ (esk30_2 @ X905 @ X906))|~(X906 @ (esk31_2 @ X905 @ X906))))&(~(exu @ X906)|(exu @ X905)|(~(X905 @ (esk30_2 @ X905 @ X906))|~(X906 @ (esk31_2 @ X905 @ X906)))))&((~(exu @ X905)|(exu @ X906)|((X905 @ (esk30_2 @ X905 @ X906))|(X906 @ (esk31_2 @ X905 @ X906))))&(~(exu @ X906)|(exu @ X905)|((X905 @ (esk30_2 @ X905 @ X906))|(X906 @ (esk31_2 @ X905 @ X906)))))))&(((emptyset)=(emptyset))&((((X909)!=(X910))|(((X911)!=(X912))|((setadjoin @ X909 @ X911)=(setadjoin @ X910 @ X912))))&((((X913)!=(X914))|((powerset @ X913)=(powerset @ X914)))&((((X915)!=(X916))|((setunion @ X915)=(setunion @ X916)))&(((omega)=(omega))&((~(exu @ X917)|(~(X917 @ X918)|(~(X917 @ X919)|((X918)=(X919)))))&(((((esk32_2 @ X920 @ X921)=(esk33_2 @ X920 @ X921))|(~(exu @ X920)|(~(exu @ X921)|((descr @ X920)=(descr @ X921)))))&((~(X920 @ (esk32_2 @ X920 @ X921))|~(X921 @ (esk33_2 @ X920 @ X921))|(~(exu @ X920)|(~(exu @ X921)|((descr @ X920)=(descr @ X921)))))&((X920 @ (esk32_2 @ X920 @ X921))|(X921 @ (esk33_2 @ X920 @ X921))|(~(exu @ X920)|(~(exu @ X921)|((descr @ X920)=(descr @ X921)))))))&((((in @ (esk34_4 @ X924 @ X925 @ X926 @ X927) @ X924)|((dsetconstr @ X924 @ X926)=(dsetconstr @ X925 @ X927))|((X924)!=(X925)))&(((in @ (esk35_4 @ X924 @ X925 @ X926 @ X927) @ X925)|((dsetconstr @ X924 @ X926)=(dsetconstr @ X925 @ X927))|((X924)!=(X925)))&((((esk34_4 @ X924 @ X925 @ X926 @ X927)=(esk35_4 @ X924 @ X925 @ X926 @ X927))|((dsetconstr @ X924 @ X926)=(dsetconstr @ X925 @ X927))|((X924)!=(X925)))&((~(X926 @ (esk34_4 @ X924 @ X925 @ X926 @ X927))|~(X927 @ (esk35_4 @ X924 @ X925 @ X926 @ X927))|((dsetconstr @ X924 @ X926)=(dsetconstr @ X925 @ X927))|((X924)!=(X925)))&((X926 @ (esk34_4 @ X924 @ X925 @ X926 @ X927))|(X927 @ (esk35_4 @ X924 @ X925 @ X926 @ X927))|((dsetconstr @ X924 @ X926)=(dsetconstr @ X925 @ X927))|((X924)!=(X925)))))))&((((in @ (esk36_2 @ X930 @ X931) @ X930)|(subset @ X930 @ X931))&(~(in @ (esk36_2 @ X930 @ X931) @ X931)|(subset @ X930 @ X931)))&((((X933)!=(X934))|(subset @ X934 @ X933))&((((X935)!=(X936))|(subset @ X935 @ X936))&((((in @ (esk37_2 @ X937 @ X938) @ X937)|(subset @ X937 @ X938))&(~(in @ (esk37_2 @ X937 @ X938) @ X938)|(subset @ X937 @ X938)))&((subset @ emptyset @ X940)&((~(subset @ X941 @ X942)|(~(in @ X943 @ X941)|(in @ X943 @ X942)))&((~(subset @ X944 @ X945)|((in @ X946 @ X945)|~(in @ X946 @ X944)))&((~(in @ X949 @ X947)|((in @ X949 @ X948)|~(subset @ X947 @ X948)))&(((subset @ X950 @ X951)|((X950)!=(X951)))&((~(in @ X954 @ X952)|((in @ X954 @ X953)|((X952)!=(X953))))&((subset @ X955 @ X955)&((~(subset @ X956 @ X957)|(~(subset @ X957 @ X958)|(subset @ X956 @ X958)))&((subset @ X960 @ (setadjoin @ X959 @ X960))&((~(subset @ X961 @ X963)|(subset @ X961 @ (setadjoin @ X962 @ X963)))&((~(subset @ X964 @ X965)|(in @ X964 @ (powerset @ X965)))&((~(subset @ X966 @ X967)|(~(subset @ X967 @ X966)|((X966)=(X967))))&((~(subset @ X968 @ emptyset)|((X968)=(emptyset)))&((~(subset @ X970 @ X969)|(in @ X970 @ (powerset @ X969)))&((~(in @ X972 @ (powerset @ X971))|(subset @ X972 @ X971))&((in @ X973 @ (powerset @ X973))&((~(subset @ X974 @ X975)|(subset @ (powerset @ X974) @ (powerset @ X975)))&((in @ (dsetconstr @ X976 @ X977) @ (powerset @ X976))&((subset @ (dsetconstr @ X978 @ X979) @ X978)&((~(in @ X982 @ X980)|(in @ X982 @ (binunion @ X980 @ X981)))&((in @ X984 @ (setadjoin @ X983 @ (setadjoin @ X984 @ emptyset)))&((~(in @ X987 @ X986)|(in @ X987 @ (binunion @ X985 @ X986)))&(((((in @ X990 @ X989)|(X991)|(in @ X990 @ X988)|~(in @ X990 @ (binunion @ X988 @ X989)))&(~(X991)|(X991)|(in @ X990 @ X988)|~(in @ X990 @ (binunion @ X988 @ X989))))&(((in @ X990 @ X989)|(X991)|~(X991)|~(in @ X990 @ (binunion @ X988 @ X989)))&(~(X991)|(X991)|~(X991)|~(in @ X990 @ (binunion @ X988 @ X989)))))&((~(in @ X994 @ (binunion @ X992 @ X993))|((in @ X994 @ X992)|(in @ X994 @ X993)))&((subset @ X995 @ (binunion @ X995 @ X996))&((subset @ X998 @ (binunion @ X997 @ X998))&((~(in @ X1001 @ X999)|(~(in @ X1001 @ X1000)|(in @ X1001 @ (binintersect @ X999 @ X1000))))&((~(subset @ X1004 @ X1002)|(~(subset @ X1004 @ X1003)|(subset @ X1004 @ (binintersect @ X1002 @ X1003))))&((~(in @ X1007 @ (binintersect @ X1005 @ X1006))|(in @ X1007 @ X1005))&((subset @ (binintersect @ X1008 @ X1009) @ X1008)&((~(subset @ X1010 @ X1011)|((binintersect @ X1010 @ X1011)=(X1010)))&((((binintersect @ X1012 @ X1013)!=(X1013))|(subset @ X1013 @ X1012))&((~(in @ X1016 @ (binintersect @ X1014 @ X1015))|(in @ X1016 @ X1015))&((((in @ (esk38_2 @ X1017 @ X1018) @ X1017)|((binintersect @ X1017 @ X1018)=(emptyset)))&((in @ (esk38_2 @ X1017 @ X1018) @ X1018)|((binintersect @ X1017 @ X1018)=(emptyset))))&((subset @ (binintersect @ X1020 @ X1021) @ X1021)&((~(subset @ X1023 @ X1022)|((binintersect @ X1022 @ X1023)=(X1023)))&((((binintersect @ X1024 @ X1025)!=(X1024))|(subset @ X1024 @ X1025))&(((binintersect @ X1026 @ (binunion @ X1027 @ X1028))=(binunion @ (binintersect @ X1026 @ X1027) @ (binintersect @ X1026 @ X1028)))&((~(in @ X1031 @ X1029)|((in @ X1031 @ X1030)|(in @ X1031 @ (setminus @ X1029 @ X1030))))&((~(in @ X1034 @ (setminus @ X1032 @ X1033))|(in @ X1034 @ X1032))&((~(in @ X1037 @ (setminus @ X1035 @ X1036))|~(in @ X1037 @ X1036))&((~(subset @ X1038 @ X1039)|((setminus @ X1038 @ X1039)=(emptyset)))&(((in @ X1042 @ (setminus @ X1040 @ X1041))|(~(in @ X1042 @ X1040)|(in @ X1042 @ X1041)))&(((in @ X1045 @ (setminus @ X1043 @ X1044))|((in @ X1045 @ X1044)|~(in @ X1045 @ X1043)))&(((in @ X1048 @ X1046)|~(in @ X1048 @ (setminus @ X1046 @ X1047)))&((~(in @ X1051 @ X1050)|~(in @ X1051 @ (setminus @ X1049 @ X1050)))&((subset @ (setminus @ X1052 @ X1053) @ X1052)&((((setminus @ X1054 @ X1055)!=(emptyset))|(subset @ X1054 @ X1055))&((((~(in @ X1058 @ X1056)|(X1059)|(in @ X1058 @ X1056)|~(in @ X1058 @ (symdiff @ X1056 @ X1057)))&(((in @ X1058 @ X1057)|(X1059)|(in @ X1058 @ X1056)|~(in @ X1058 @ (symdiff @ X1056 @ X1057)))&(~(X1059)|(X1059)|(in @ X1058 @ X1056)|~(in @ X1058 @ (symdiff @ X1056 @ X1057)))))&(((~(in @ X1058 @ X1056)|(X1059)|~(in @ X1058 @ X1057)|~(in @ X1058 @ (symdiff @ X1056 @ X1057)))&(((in @ X1058 @ X1057)|(X1059)|~(in @ X1058 @ X1057)|~(in @ X1058 @ (symdiff @ X1056 @ X1057)))&(~(X1059)|(X1059)|~(in @ X1058 @ X1057)|~(in @ X1058 @ (symdiff @ X1056 @ X1057)))))&((~(in @ X1058 @ X1056)|(X1059)|~(X1059)|~(in @ X1058 @ (symdiff @ X1056 @ X1057)))&(((in @ X1058 @ X1057)|(X1059)|~(X1059)|~(in @ X1058 @ (symdiff @ X1056 @ X1057)))&(~(X1059)|(X1059)|~(X1059)|~(in @ X1058 @ (symdiff @ X1056 @ X1057)))))))&((~(in @ X1062 @ X1060)|((in @ X1062 @ X1061)|(in @ X1062 @ (symdiff @ X1060 @ X1061))))&(((in @ X1065 @ X1063)|(~(in @ X1065 @ X1064)|(in @ X1065 @ (symdiff @ X1063 @ X1064))))&((~(in @ X1068 @ X1066)|(~(in @ X1068 @ X1067)|~(in @ X1068 @ (symdiff @ X1066 @ X1067))))&(((in @ X1071 @ X1069)|((in @ X1071 @ X1070)|~(in @ X1071 @ (symdiff @ X1069 @ X1070))))&~(in @ esk40_0 @ (setadjoin @ esk39_0 @ (setadjoin @ esk40_0 @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_156])])])])])])])).
% 0.24/0.31 thf(c_0_158, negated_conjecture, ~((in @ esk40_0 @ (setadjoin @ esk39_0 @ (setadjoin @ esk40_0 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_157])).
% 0.24/0.31 thf(c_0_159, negated_conjecture, ![X3:$i, X2:$i]:((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X2 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_157])).
% 0.24/0.31 thf(c_0_160, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158, c_0_159])]), ['proof']).
% 0.24/0.31 % SZS output end CNFRefutation
% 0.24/0.31 % Parsed axioms : 289
% 0.24/0.31 % Removed by relevancy pruning/SinE : 157
% 0.24/0.31 % Initial clauses : 212
% 0.24/0.31 % Removed in clause preprocessing : 25
% 0.24/0.31 % Initial clauses in saturation : 187
% 0.24/0.31 % Processed clauses : 106
% 0.24/0.31 % ...of these trivial : 7
% 0.24/0.31 % ...subsumed : 23
% 0.24/0.31 % ...remaining for further processing : 75
% 0.24/0.31 % Other redundant clauses eliminated : 4
% 0.24/0.31 % Clauses deleted for lack of memory : 0
% 0.24/0.31 % Backward-subsumed : 1
% 0.24/0.31 % Backward-rewritten : 3
% 0.24/0.31 % Generated clauses : 287
% 0.24/0.31 % ...of the previous two non-redundant : 230
% 0.24/0.31 % ...aggressively subsumed : 0
% 0.24/0.31 % Contextual simplify-reflections : 0
% 0.24/0.31 % Paramodulations : 283
% 0.24/0.31 % Factorizations : 0
% 0.24/0.31 % NegExts : 0
% 0.24/0.31 % Equation resolutions : 4
% 0.24/0.31 % Disequality decompositions : 0
% 0.24/0.31 % Total rewrite steps : 58
% 0.24/0.31 % ...of those cached : 31
% 0.24/0.31 % Propositional unsat checks : 0
% 0.24/0.31 % Propositional check models : 0
% 0.24/0.31 % Propositional check unsatisfiable : 0
% 0.24/0.31 % Propositional clauses : 0
% 0.24/0.31 % Propositional clauses after purity: 0
% 0.24/0.31 % Propositional unsat core size : 0
% 0.24/0.31 % Propositional preprocessing time : 0.000
% 0.24/0.31 % Propositional encoding time : 0.000
% 0.24/0.31 % Propositional solver time : 0.000
% 0.24/0.31 % Success case prop preproc time : 0.000
% 0.24/0.31 % Success case prop encoding time : 0.000
% 0.24/0.31 % Success case prop solver time : 0.000
% 0.24/0.31 % Current number of processed clauses : 67
% 0.24/0.31 % Positive orientable unit clauses : 38
% 0.24/0.31 % Positive unorientable unit clauses: 0
% 0.24/0.31 % Negative unit clauses : 2
% 0.24/0.31 % Non-unit-clauses : 27
% 0.24/0.31 % Current number of unprocessed clauses: 293
% 0.24/0.31 % ...number of literals in the above : 761
% 0.24/0.31 % Current number of archived formulas : 0
% 0.24/0.31 % Current number of archived clauses : 4
% 0.24/0.31 % Clause-clause subsumption calls (NU) : 95
% 0.24/0.31 % Rec. Clause-clause subsumption calls : 94
% 0.24/0.31 % Non-unit clause-clause subsumptions : 16
% 0.24/0.31 % Unit Clause-clause subsumption calls : 3
% 0.24/0.31 % Rewrite failures with RHS unbound : 0
% 0.24/0.31 % BW rewrite match attempts : 7
% 0.24/0.31 % BW rewrite match successes : 3
% 0.24/0.31 % Condensation attempts : 0
% 0.24/0.31 % Condensation successes : 0
% 0.24/0.31 % Termbank termtop insertions : 31531
% 0.24/0.31 % Search garbage collected termcells : 11713
% 0.24/0.31
% 0.24/0.31 % -------------------------------------------------
% 0.24/0.31 % User time : 0.022 s
% 0.24/0.31 % System time : 0.009 s
% 0.24/0.31 % Total time : 0.031 s
% 0.24/0.31 % Maximum resident set size: 6736 pages
% 0.24/0.31
% 0.24/0.31 % -------------------------------------------------
% 0.24/0.31 % User time : 0.028 s
% 0.24/0.31 % System time : 0.016 s
% 0.24/0.31 % Total time : 0.044 s
% 0.24/0.31 % Maximum resident set size: 5120 pages
% 0.24/0.31 % E exiting
%------------------------------------------------------------------------------