%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU585^1 : 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:24:36 AM UTC 2026
% Result : Theorem 268.53s 34.54s
% Output : CNFRefutation 268.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU585^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n019.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 13:52:47 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.25 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.TSylmETPP4/E---3.1_805350.p
% 268.53/34.54 % Version: 3.5.1-ho
% 268.53/34.54 % Preprocessing class: HSLMSLSSLLLCHFA.
% 268.53/34.54 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 268.53/34.54 % Starting ehoh_best5 with 300s (1) cores
% 268.53/34.54 % Starting almost_fo_3_lam with 300s (1) cores
% 268.53/34.54 % Starting new_bool_5 with 300s (1) cores
% 268.53/34.54 % Starting pre_casc_3 with 300s (1) cores
% 268.53/34.54 % Starting ho_unfolding_8 with 300s (1) cores
% 268.53/34.54 % Starting new_ho_10_cnf2 with 300s (1) cores
% 268.53/34.54 % Starting new_bool_3 with 300s (1) cores
% 268.53/34.54 % Starting new_ho_5 with 300s (1) cores
% 268.53/34.54 % new_bool_5 with pid 805365 completed with status 0
% 268.53/34.54 % Result found by new_bool_5
% 268.53/34.54 % Preprocessing class: HSLMSLSSLLLCHFA.
% 268.53/34.54 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 268.53/34.54 % Starting ehoh_best5 with 300s (1) cores
% 268.53/34.54 % Starting almost_fo_3_lam with 300s (1) cores
% 268.53/34.54 % Starting new_bool_5 with 300s (1) cores
% 268.53/34.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 268.53/34.54 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 268.53/34.54 % Search class: HGHSM-FSLM31-MHFMMSBN
% 268.53/34.54 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 268.53/34.54 % Starting SubtermCWHack with 28s (1) cores
% 268.53/34.54 % SubtermCWHack with pid 805374 completed with status 8
% 268.53/34.54 % Starting new_bool_5 with 31s (1) cores
% 268.53/34.54 % new_bool_5 with pid 805384 completed with status 0
% 268.53/34.54 % Result found by new_bool_5
% 268.53/34.54 % Preprocessing class: HSLMSLSSLLLCHFA.
% 268.53/34.54 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 268.53/34.54 % Starting ehoh_best5 with 300s (1) cores
% 268.53/34.54 % Starting almost_fo_3_lam with 300s (1) cores
% 268.53/34.54 % Starting new_bool_5 with 300s (1) cores
% 268.53/34.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 268.53/34.54 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 268.53/34.54 % Search class: HGHSM-FSLM31-MHFMMSBN
% 268.53/34.54 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 268.53/34.54 % Starting SubtermCWHack with 28s (1) cores
% 268.53/34.54 % SubtermCWHack with pid 805374 completed with status 8
% 268.53/34.54 % Starting new_bool_5 with 31s (1) cores
% 268.53/34.54 % Preprocessing time : 0.004 s
% 268.53/34.54 % Presaturation interreduction done
% 268.53/34.54
% 268.53/34.54 % Proof found!
% 268.53/34.54 % SZS status Theorem
% 268.53/34.54 % SZS output start CNFRefutation
% 268.53/34.54 thf(decl_23, type, in: $i > $i > $o).
% 268.53/34.54 thf(decl_24, type, exu: ($i > $o) > $o).
% 268.53/34.54 thf(decl_25, type, setextAx: $o).
% 268.53/34.54 thf(decl_26, type, emptyset: $i).
% 268.53/34.54 thf(decl_27, type, emptysetAx: $o).
% 268.53/34.54 thf(decl_28, type, setadjoin: $i > $i > $i).
% 268.53/34.54 thf(decl_29, type, setadjoinAx: $o).
% 268.53/34.54 thf(decl_30, type, powerset: $i > $i).
% 268.53/34.54 thf(decl_31, type, powersetAx: $o).
% 268.53/34.54 thf(decl_32, type, setunion: $i > $i).
% 268.53/34.54 thf(decl_33, type, setunionAx: $o).
% 268.53/34.54 thf(decl_34, type, omega: $i).
% 268.53/34.54 thf(decl_35, type, omega0Ax: $o).
% 268.53/34.54 thf(decl_36, type, omegaSAx: $o).
% 268.53/34.54 thf(decl_37, type, omegaIndAx: $o).
% 268.53/34.54 thf(decl_38, type, replAx: $o).
% 268.53/34.54 thf(decl_39, type, foundationAx: $o).
% 268.53/34.54 thf(decl_40, type, wellorderingAx: $o).
% 268.53/34.54 thf(decl_41, type, descr: ($i > $o) > $i).
% 268.53/34.54 thf(decl_42, type, descrp: $o).
% 268.53/34.54 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 268.53/34.54 thf(decl_44, type, dsetconstrI: $o).
% 268.53/34.54 thf(decl_45, type, dsetconstrEL: $o).
% 268.53/34.54 thf(decl_46, type, dsetconstrER: $o).
% 268.53/34.54 thf(decl_47, type, exuE1: $o).
% 268.53/34.54 thf(decl_48, type, prop2set: $o > $i).
% 268.53/34.54 thf(decl_49, type, prop2setE: $o).
% 268.53/34.54 thf(decl_50, type, emptysetE: $o).
% 268.53/34.54 thf(decl_51, type, emptysetimpfalse: $o).
% 268.53/34.54 thf(decl_52, type, notinemptyset: $o).
% 268.53/34.54 thf(decl_53, type, exuE3e: $o).
% 268.53/34.54 thf(decl_54, type, setext: $o).
% 268.53/34.54 thf(decl_55, type, emptyI: $o).
% 268.53/34.54 thf(decl_56, type, noeltsimpempty: $o).
% 268.53/34.54 thf(decl_57, type, setbeta: $o).
% 268.53/34.54 thf(decl_58, type, nonempty: $i > $o).
% 268.53/34.54 thf(decl_59, type, nonemptyE1: $o).
% 268.53/34.54 thf(decl_60, type, nonemptyI: $o).
% 268.53/34.54 thf(decl_61, type, nonemptyI1: $o).
% 268.53/34.54 thf(decl_62, type, setadjoinIL: $o).
% 268.53/34.54 thf(decl_63, type, emptyinunitempty: $o).
% 268.53/34.54 thf(decl_64, type, setadjoinIR: $o).
% 268.53/34.54 thf(decl_65, type, setadjoinE: $o).
% 268.53/34.54 thf(decl_66, type, setadjoinOr: $o).
% 268.53/34.54 thf(decl_67, type, setoftrueEq: $o).
% 268.53/34.54 thf(decl_68, type, powersetI: $o).
% 268.53/34.54 thf(decl_69, type, emptyinPowerset: $o).
% 268.53/34.54 thf(decl_70, type, emptyInPowerset: $o).
% 268.53/34.54 thf(decl_71, type, powersetE: $o).
% 268.53/34.54 thf(decl_72, type, setunionI: $o).
% 268.53/34.54 thf(decl_73, type, setunionE: $o).
% 268.53/34.54 thf(decl_74, type, subPowSU: $o).
% 268.53/34.54 thf(decl_75, type, exuE2: $o).
% 268.53/34.54 thf(decl_76, type, nonemptyImpWitness: $o).
% 268.53/34.54 thf(decl_77, type, uniqinunit: $o).
% 268.53/34.54 thf(decl_78, type, notinsingleton: $o).
% 268.53/34.54 thf(decl_79, type, eqinunit: $o).
% 268.53/34.54 thf(decl_80, type, singletonsswitch: $o).
% 268.53/34.54 thf(decl_81, type, upairsetE: $o).
% 268.53/34.54 thf(decl_82, type, upairsetIL: $o).
% 268.53/34.54 thf(decl_83, type, upairsetIR: $o).
% 268.53/34.54 thf(decl_84, type, emptyE1: $o).
% 268.53/34.54 thf(decl_85, type, vacuousDall: $o).
% 268.53/34.54 thf(decl_86, type, quantDeMorgan1: $o).
% 268.53/34.54 thf(decl_87, type, quantDeMorgan2: $o).
% 268.53/34.54 thf(decl_88, type, quantDeMorgan3: $o).
% 268.53/34.54 thf(decl_89, type, quantDeMorgan4: $o).
% 268.53/34.54 thf(decl_90, type, prop2setI: $o).
% 268.53/34.54 thf(decl_92, type, prop2set2propI: $o).
% 268.53/34.54 thf(decl_93, type, notdexE: $o).
% 268.53/34.54 thf(decl_94, type, notdallE: $o).
% 268.53/34.54 thf(decl_95, type, exuI1: $o).
% 268.53/34.54 thf(decl_96, type, exuI3: $o).
% 268.53/34.54 thf(decl_97, type, exuI2: $o).
% 268.53/34.54 thf(decl_98, type, inCongP: $o).
% 268.53/34.54 thf(decl_99, type, in__Cong: $o).
% 268.53/34.54 thf(decl_100, type, exuE3u: $o).
% 268.53/34.54 thf(decl_101, type, exu__Cong: $o).
% 268.53/34.54 thf(decl_102, type, emptyset__Cong: $o).
% 268.53/34.54 thf(decl_103, type, setadjoin__Cong: $o).
% 268.53/34.54 thf(decl_104, type, powerset__Cong: $o).
% 268.53/34.54 thf(decl_105, type, setunion__Cong: $o).
% 268.53/34.54 thf(decl_106, type, omega__Cong: $o).
% 268.53/34.54 thf(decl_107, type, exuEu: $o).
% 268.53/34.54 thf(decl_108, type, descr__Cong: $o).
% 268.53/34.54 thf(decl_109, type, dsetconstr__Cong: $o).
% 268.53/34.54 thf(decl_110, type, subset: $i > $i > $o).
% 268.53/34.54 thf(decl_113, type, subsetI1: $o).
% 268.53/34.54 thf(decl_114, type, eqimpsubset2: $o).
% 268.53/34.54 thf(decl_115, type, eqimpsubset1: $o).
% 268.53/34.54 thf(decl_116, type, subsetI2: $o).
% 268.53/34.54 thf(decl_117, type, emptysetsubset: $o).
% 268.53/34.54 thf(decl_118, type, subsetE: $o).
% 268.53/34.54 thf(decl_119, type, subsetE2: $o).
% 268.53/34.54 thf(decl_120, type, notsubsetI: $o).
% 268.53/34.54 thf(decl_121, type, notequalI1: $o).
% 268.53/34.54 thf(decl_122, type, notequalI2: $o).
% 268.53/34.54 thf(decl_123, type, subsetRefl: $o).
% 268.53/34.54 thf(decl_124, type, subsetTrans: $o).
% 268.53/34.54 thf(decl_125, type, setadjoinSub: $o).
% 268.53/34.54 thf(decl_126, type, setadjoinSub2: $o).
% 268.53/34.54 thf(decl_127, type, subset2powerset: $o).
% 268.53/34.54 thf(decl_128, type, setextsub: $o).
% 268.53/34.54 thf(decl_129, type, subsetemptysetimpeq: $o).
% 268.53/34.54 thf(decl_130, type, powersetI1: $o).
% 268.53/34.54 thf(decl_131, type, powersetE1: $o).
% 268.53/34.54 thf(decl_132, type, inPowerset: $o).
% 268.53/34.54 thf(decl_133, type, powersetsubset: $o).
% 268.53/34.54 thf(decl_134, type, sepInPowerset: $o).
% 268.53/34.54 thf(decl_135, type, sepSubset: $o).
% 268.53/34.54 thf(decl_136, type, binunion: $i > $i > $i).
% 268.53/34.54 thf(decl_137, type, binunionIL: $o).
% 268.53/34.54 thf(decl_138, type, upairset2IR: $o).
% 268.53/34.54 thf(decl_139, type, binunionIR: $o).
% 268.53/34.54 thf(decl_140, type, epred1_0: $o).
% 268.53/34.54 thf(decl_141, type, esk1_2: $i > $i > $i).
% 268.53/34.54 thf(decl_142, type, esk2_2: $i > $i > $i).
% 268.53/34.54 thf(decl_143, type, esk3_2: $i > $i > $i).
% 268.53/34.54 thf(decl_144, type, esk4_1: $i > $i).
% 268.53/34.54 thf(decl_145, type, esk5_2: ($i > $i > $o) > $i > $i).
% 268.53/34.54 thf(decl_146, type, esk6_2: ($i > $i > $o) > $i > $i).
% 268.53/34.54 thf(decl_147, type, esk7_3: ($i > $i > $o) > $i > $i > $i).
% 268.53/34.54 thf(decl_148, type, esk8_1: $i > $i).
% 268.53/34.54 thf(decl_149, type, esk9_1: ($i > $o) > $i).
% 268.53/34.54 thf(decl_150, type, esk10_1: ($i > $o) > $i).
% 268.53/34.54 thf(decl_151, type, esk11_2: $i > $i > $i).
% 268.53/34.54 thf(decl_152, type, esk12_2: $i > $i > $i).
% 268.53/34.54 thf(decl_153, type, esk13_1: $i > $i).
% 268.53/34.54 thf(decl_154, type, esk14_1: $i > $i).
% 268.53/34.54 thf(decl_155, type, esk15_1: $i > $i).
% 268.53/34.54 thf(decl_156, type, esk16_2: $i > $i > $i).
% 268.53/34.54 thf(decl_157, type, esk17_3: $i > $i > $o > $i).
% 268.53/34.54 thf(decl_158, type, esk18_1: ($i > $o) > $i).
% 268.53/34.54 thf(decl_159, type, esk19_1: $i > $i).
% 268.53/34.54 thf(decl_160, type, esk20_2: $i > ($i > $o) > $i).
% 268.53/34.54 thf(decl_161, type, esk21_2: $i > ($i > $o) > $i).
% 268.53/34.54 thf(decl_162, type, esk22_2: $i > ($i > $o) > $i).
% 268.53/34.54 thf(decl_163, type, esk23_2: $i > ($i > $o) > $i).
% 268.53/34.54 thf(decl_164, type, esk24_2: $i > ($i > $o) > $i).
% 268.53/34.54 thf(decl_165, type, esk25_2: $i > ($i > $o) > $i).
% 268.53/34.54 thf(decl_166, type, esk26_2: ($i > $o) > $i > $i).
% 268.53/34.54 thf(decl_167, type, esk27_1: ($i > $o) > $i).
% 268.53/34.54 thf(decl_168, type, esk28_1: ($i > $o) > $i).
% 268.53/34.54 thf(decl_169, type, esk29_2: ($i > $o) > $i > $i).
% 268.53/34.54 thf(decl_170, type, esk30_2: ($i > $o) > ($i > $o) > $i).
% 268.53/34.54 thf(decl_171, type, esk31_2: ($i > $o) > ($i > $o) > $i).
% 268.53/34.54 thf(decl_172, type, esk32_2: ($i > $o) > ($i > $o) > $i).
% 268.53/34.54 thf(decl_173, type, esk33_2: ($i > $o) > ($i > $o) > $i).
% 268.53/34.54 thf(decl_174, type, esk34_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 268.53/34.54 thf(decl_175, type, esk35_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 268.53/34.54 thf(decl_176, type, esk36_2: $i > $i > $i).
% 268.53/34.54 thf(decl_177, type, esk37_2: $i > $i > $i).
% 268.53/34.54 thf(decl_178, type, esk38_0: $i).
% 268.53/34.54 thf(decl_179, type, esk39_0: $i).
% 268.53/34.54 thf(decl_180, type, esk40_0: $i).
% 268.53/34.54 thf(decl_181, type, epred2_0: $o).
% 268.53/34.54 thf(binunionEcases, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', binunionEcases)).
% 268.53/34.54 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', nonemptyI)).
% 268.53/34.54 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', sepInPowerset)).
% 268.53/34.54 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.TSylmETPP4/E---3.1_805350.p', exuE1)).
% 268.53/34.54 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', sepSubset)).
% 268.53/34.54 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.TSylmETPP4/E---3.1_805350.p', exuE2)).
% 268.53/34.54 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setbeta)).
% 268.53/34.54 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', exuE3e)).
% 268.53/34.54 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setoftrueEq)).
% 268.53/34.54 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.TSylmETPP4/E---3.1_805350.p', emptyE1)).
% 268.53/34.54 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.TSylmETPP4/E---3.1_805350.p', exuI1)).
% 268.53/34.54 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', exu__Cong)).
% 268.53/34.54 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', exuE3u)).
% 268.53/34.54 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.TSylmETPP4/E---3.1_805350.p', exuI2)).
% 268.53/34.54 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', exuI3)).
% 268.53/34.54 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', dsetconstr__Cong)).
% 268.53/34.54 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', descr__Cong)).
% 268.53/34.54 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', exuEu)).
% 268.53/34.54 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', dsetconstrER)).
% 268.53/34.54 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', dsetconstrEL)).
% 268.53/34.54 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', dsetconstrI)).
% 268.53/34.54 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', descrp)).
% 268.53/34.54 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', replAx)).
% 268.53/34.54 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', notsubsetI)).
% 268.53/34.54 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', subsetE)).
% 268.53/34.54 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', eqimpsubset1)).
% 268.53/34.54 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', subsetE2)).
% 268.53/34.54 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', notequalI1)).
% 268.53/34.54 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', notequalI2)).
% 268.53/34.54 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', emptysetimpfalse)).
% 268.53/34.54 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', subsetRefl)).
% 268.53/34.54 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', emptysetE)).
% 268.53/34.54 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', subsetTrans)).
% 268.53/34.54 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', prop2setE)).
% 268.53/34.54 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setadjoinSub)).
% 268.53/34.54 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', notinemptyset)).
% 268.53/34.54 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setadjoinSub2)).
% 268.53/34.54 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', subset2powerset)).
% 268.53/34.54 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setextsub)).
% 268.53/34.54 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', subsetemptysetimpeq)).
% 268.53/34.54 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', powersetI1)).
% 268.53/34.54 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', powersetE1)).
% 268.53/34.54 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', inPowerset)).
% 268.53/34.54 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', powersetsubset)).
% 268.53/34.54 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', binunionIL)).
% 268.53/34.54 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', upairset2IR)).
% 268.53/34.54 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', binunionIR)).
% 268.53/34.54 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', nonemptyImpWitness)).
% 268.53/34.54 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', nonemptyE1)).
% 268.53/34.54 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', noeltsimpempty)).
% 268.53/34.54 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', emptyI)).
% 268.53/34.54 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.TSylmETPP4/E---3.1_805350.p', setext)).
% 268.53/34.54 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', nonemptyI1)).
% 268.53/34.54 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', powersetI)).
% 268.53/34.54 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setadjoinOr)).
% 268.53/34.54 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.TSylmETPP4/E---3.1_805350.p', setadjoinE)).
% 268.53/34.54 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setadjoinIR)).
% 268.53/34.54 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', emptyinunitempty)).
% 268.53/34.54 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setadjoinIL)).
% 268.53/34.54 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', emptyinPowerset)).
% 268.53/34.54 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', subPowSU)).
% 268.53/34.54 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.TSylmETPP4/E---3.1_805350.p', setunionE)).
% 268.53/34.54 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setunionI)).
% 268.53/34.54 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', powersetE)).
% 268.53/34.54 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', emptyInPowerset)).
% 268.53/34.54 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', uniqinunit)).
% 268.53/34.54 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', upairsetIR)).
% 268.53/34.54 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', upairsetIL)).
% 268.53/34.54 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', upairsetE)).
% 268.53/34.54 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', singletonsswitch)).
% 268.53/34.54 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', eqinunit)).
% 268.53/34.54 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', notinsingleton)).
% 268.53/34.54 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', vacuousDall)).
% 268.53/34.54 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', notdallE)).
% 268.53/34.54 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', notdexE)).
% 268.53/34.54 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', prop2setI)).
% 268.53/34.54 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', quantDeMorgan4)).
% 268.53/34.54 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', quantDeMorgan3)).
% 268.53/34.54 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', quantDeMorgan2)).
% 268.53/34.54 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', quantDeMorgan1)).
% 268.53/34.54 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', emptyset__Cong)).
% 268.53/34.54 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', in__Cong)).
% 268.53/34.54 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', inCongP)).
% 268.53/34.54 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setadjoin__Cong)).
% 268.53/34.54 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', subsetI1)).
% 268.53/34.54 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', omega__Cong)).
% 268.53/34.54 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setunion__Cong)).
% 268.53/34.54 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', powerset__Cong)).
% 268.53/34.54 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', subsetI2)).
% 268.53/34.54 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', emptysetsubset)).
% 268.53/34.54 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', eqimpsubset2)).
% 268.53/34.54 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:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', wellorderingAx)).
% 268.53/34.54 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', foundationAx)).
% 268.53/34.54 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$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.TSylmETPP4/E---3.1_805350.p', omegaIndAx)).
% 268.53/34.54 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', omegaSAx)).
% 268.53/34.54 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', omega0Ax)).
% 268.53/34.54 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setunionAx)).
% 268.53/34.54 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', powersetAx)).
% 268.53/34.54 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setadjoinAx)).
% 268.53/34.54 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', emptysetAx)).
% 268.53/34.54 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', setextAx)).
% 268.53/34.54 thf(binunion, axiom, ((binunion)=(^[X2:$i, X3:$i]:(setunion @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.TSylmETPP4/E---3.1_805350.p', binunion)).
% 268.53/34.54 thf(c_0_102, 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)=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[binunionEcases])).
% 268.53/34.54 thf(c_0_103, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 268.53/34.54 thf(c_0_104, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 268.53/34.54 thf(c_0_105, 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])).
% 268.53/34.54 thf(c_0_106, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 268.53/34.54 thf(c_0_107, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 268.53/34.54 thf(c_0_108, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 268.53/34.54 thf(c_0_109, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 268.53/34.54 thf(c_0_110, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 268.53/34.54 thf(c_0_111, 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])).
% 268.53/34.54 thf(c_0_112, 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])).
% 268.53/34.54 thf(c_0_113, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 268.53/34.54 thf(c_0_114, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 268.53/34.54 thf(c_0_115, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 268.53/34.54 thf(c_0_116, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 268.53/34.54 thf(c_0_117, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 268.53/34.54 thf(c_0_118, plain, ((descr__Cong)<=>![X1:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 268.53/34.54 thf(c_0_119, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 268.53/34.54 thf(c_0_120, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 268.53/34.54 thf(c_0_121, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 268.53/34.54 thf(c_0_122, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 268.53/34.54 thf(c_0_123, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 268.53/34.54 thf(c_0_124, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 268.53/34.54 thf(c_0_125, plain, ((epred1_0)<=>![X320:$i]:(?[X321:$i]:((((![X322:$i]:(((in @ X322 @ X321)=>![X323:$i]:(((in @ X323 @ X322)=>(in @ X323 @ X320)))))&![X324:$i, X325:$i]:((((in @ X324 @ X320)&(in @ X325 @ X320))=>(![X326:$i]:(((in @ X326 @ X321)=>((in @ X324 @ X326)<=>(in @ X325 @ X326))))=>((X324)=(X325))))))&![X327:$i, X328:$i]:((((in @ X327 @ X321)&(in @ X328 @ X321))=>(![X329:$i]:(((in @ X329 @ X327)=>(in @ X329 @ X328)))|![X330:$i]:(((in @ X330 @ X328)=>(in @ X330 @ X327)))))))&![X331:$i]:(((![X332:$i]:(((in @ X332 @ X331)=>(in @ X332 @ X320)))&?[X333:$i]:((in @ X333 @ X331)))=>?[X334:$i, X335:$i]:(((((in @ X334 @ X321)&(in @ X335 @ X331))&~(?[X336:$i]:(((in @ X336 @ X334)&(in @ X336 @ X331)))))&![X337:$i]:(((in @ X337 @ X321)=>(![X338:$i]:(((in @ X338 @ X337)=>(in @ X338 @ X334)))|(in @ X335 @ X337)))))))))))), introduced(definition)).
% 268.53/34.54 thf(c_0_126, negated_conjecture, ~((![X293:$i, X294:$i]:((![X295:$i]:(((in @ X295 @ X293)<=>(in @ X295 @ X294)))=>((X293)=(X294))))=>(![X296:$i]:(~(in @ X296 @ emptyset))=>(![X297:$i, X298:$i, X299:$i]:(((in @ X299 @ (setadjoin @ X297 @ X298))<=>(((X299)=(X297))|(in @ X299 @ X298))))=>(![X300:$i, X301:$i]:(((in @ X301 @ (powerset @ X300))<=>![X302:$i]:(((in @ X302 @ X301)=>(in @ X302 @ X300)))))=>(![X303:$i, X304:$i]:(((in @ X304 @ (setunion @ X303))<=>?[X305:$i]:(((in @ X304 @ X305)&(in @ X305 @ X303)))))=>((in @ emptyset @ omega)=>(![X306:$i]:(((in @ X306 @ omega)=>(in @ (setadjoin @ X306 @ X306) @ omega)))=>(![X307:$i]:((((in @ emptyset @ X307)&![X308:$i]:((((in @ X308 @ omega)&(in @ X308 @ X307))=>(in @ (setadjoin @ X308 @ X308) @ X307))))=>![X309:$i]:(((in @ X309 @ omega)=>(in @ X309 @ X307)))))=>(![X310:$i > $i > $o, X311:$i]:((![X312:$i]:(((in @ X312 @ X311)=>(exu @ (X310 @ X312))))=>?[X313:$i]:(![X314:$i]:(((in @ X314 @ X313)<=>?[X315:$i]:(((in @ X315 @ X311)&(X310 @ X315 @ X314))))))))=>(![X316:$i]:((?[X317:$i]:((in @ X317 @ X316))=>?[X318:$i]:(((in @ X318 @ X316)&~(?[X319:$i]:(((in @ X319 @ X318)&(in @ X319 @ X316))))))))=>((epred1_0)=>(![X339:$i > $o]:(((exu @ X339)=>(X339 @ (descr @ (^[Z0:$i]:(X339 @ Z0))))))=>(![X340:$i, X341:$i > $o, X342:$i]:(((in @ X342 @ X340)=>((X341 @ X342)=>(in @ X342 @ (dsetconstr @ X340 @ X341)))))=>(![X343:$i, X344:$i > $o, X345:$i]:(((in @ X345 @ (dsetconstr @ X343 @ X344))=>(in @ X345 @ X343)))=>(![X346:$i, X347:$i > $o, X348:$i]:(((in @ X348 @ (dsetconstr @ X346 @ X347))=>(X347 @ X348)))=>(![X349:$i > $o]:(((exu @ X349)=>?[X350:$i]:(((X349 @ X350)&![X351:$i]:(((X349 @ X351)=>((X350)=(X351))))))))=>(![X352:$o, X353:$i]:(((in @ X353 @ (prop2set @ ((X352))))=>(X352)))=>(![X354:$i]:(((in @ X354 @ emptyset)=>![X355:$o]:((X355))))=>(![X356:$i]:(((in @ X356 @ emptyset)=>~($true)))=>(![X357:$i]:(~(in @ X357 @ emptyset))=>(![X358:$i > $o]:(((exu @ X358)=>?[X359:$i]:((X358 @ X359))))=>(![X360:$i, X361:$i]:((![X362:$i]:(((in @ X362 @ X360)=>(in @ X362 @ X361)))=>(![X363:$i]:(((in @ X363 @ X361)=>(in @ X363 @ X360)))=>((X360)=(X361)))))=>(![X364:$i]:((![X365:$i]:(~(in @ X365 @ X364))=>((X364)=(emptyset))))=>(![X366:$i]:((![X367:$i]:(~(in @ X367 @ X366))=>((X366)=(emptyset))))=>(![X368:$i, X369:$i > $o, X370:$i]:(((in @ X370 @ X368)=>((in @ X370 @ (dsetconstr @ X368 @ X369))<=>(X369 @ X370))))=>(![X371:$i]:(((nonempty @ X371)=>?[X372:$i]:((in @ X372 @ X371))))=>(![X373:$i, X374:$i > $o, X375:$i]:(((in @ X375 @ X373)=>((X374 @ X375)=>(nonempty @ (dsetconstr @ X373 @ X374)))))=>(![X376:$i]:((?[X377:$i]:((in @ X377 @ X376))=>(nonempty @ X376)))=>(![X378:$i, X379:$i]:((in @ X378 @ (setadjoin @ X378 @ X379)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X380:$i, X381:$i, X382:$i]:(((in @ X382 @ X381)=>(in @ X382 @ (setadjoin @ X380 @ X381))))=>(![X383:$i, X384:$i, X385:$i]:(((in @ X385 @ (setadjoin @ X383 @ X384))=>![X386:$o]:(((((X385)=(X383))=>(X386))=>(((in @ X385 @ X384)=>(X386))=>(X386))))))=>(![X387:$i, X388:$i, X389:$i]:(((in @ X389 @ (setadjoin @ X387 @ X388))=>(((X389)=(X387))|(in @ X389 @ X388))))=>(![X390:$i]:(((dsetconstr @ X390 @ (^[Z0:$i]:($true)))=(X390)))=>(![X391:$i, X392:$i]:((![X393:$i]:(((in @ X393 @ X392)=>(in @ X393 @ X391)))=>(in @ X392 @ (powerset @ X391))))=>(![X394:$i]:((in @ emptyset @ (powerset @ X394)))=>(![X395:$i]:((in @ emptyset @ (powerset @ X395)))=>(![X396:$i, X397:$i, X398:$i]:(((in @ X397 @ (powerset @ X396))=>((in @ X398 @ X397)=>(in @ X398 @ X396))))=>(![X399:$i, X400:$i, X401:$i]:(((in @ X400 @ X401)=>((in @ X401 @ X399)=>(in @ X400 @ (setunion @ X399)))))=>(![X402:$i, X403:$i]:(((in @ X403 @ (setunion @ X402))=>![X404:$o]:((![X405:$i]:(((in @ X403 @ X405)=>((in @ X405 @ X402)=>(X404))))=>(X404)))))=>(![X406:$i, X407:$i]:(((in @ X407 @ X406)=>(in @ X407 @ (powerset @ (setunion @ X406)))))=>(![X408:$i > $o]:(((exu @ X408)=>?[X409:$i]:(![X410:$i]:(((X408 @ X410)<=>((X410)=(X409)))))))=>(![X411:$i]:(((nonempty @ X411)=>?[X412:$i]:(((in @ X412 @ X411)&$true))))=>(![X413:$i, X414:$i]:(((in @ X413 @ (setadjoin @ X414 @ emptyset))=>((X413)=(X414))))=>(![X415:$i, X416:$i]:((((X415)!=(X416))=>~(in @ X416 @ (setadjoin @ X415 @ emptyset))))=>(![X417:$i, X418:$i]:((((X417)=(X418))=>(in @ X417 @ (setadjoin @ X418 @ emptyset))))=>(![X419:$i, X420:$i]:(((in @ X419 @ (setadjoin @ X420 @ emptyset))=>(in @ X420 @ (setadjoin @ X419 @ emptyset))))=>(![X421:$i, X422:$i, X423:$i]:(((in @ X423 @ (setadjoin @ X421 @ (setadjoin @ X422 @ emptyset)))=>(((X423)=(X421))|((X423)=(X422)))))=>(![X424:$i, X425:$i]:((in @ X424 @ (setadjoin @ X424 @ (setadjoin @ X425 @ emptyset))))=>(![X426:$i, X427:$i]:((in @ X427 @ (setadjoin @ X426 @ (setadjoin @ X427 @ emptyset))))=>(![X428:$i, X429:$i > $o]:((?[X430:$i]:(((in @ X430 @ X428)&(X429 @ X430)))=>(((dsetconstr @ X428 @ X429)=(emptyset))=>~($true))))=>(![X431:$i > $o, X432:$i]:(((in @ X432 @ emptyset)=>(X431 @ X432)))=>(![X433:$i, X434:$i > $o]:((~(![X435:$i]:(((in @ X435 @ X433)=>(X434 @ X435))))=>?[X436:$i]:(((in @ X436 @ X433)&~((X434 @ X436))))))=>(![X437:$i, X438:$i > $o]:((![X439:$i]:(((in @ X439 @ X437)=>~((X438 @ X439))))=>~(?[X440:$i]:(((in @ X440 @ X437)&(X438 @ X440))))))=>(![X441:$i, X442:$i > $o]:((~(?[X443:$i]:(((in @ X443 @ X441)&(X442 @ X443))))=>![X444:$i]:(((in @ X444 @ X441)=>~((X442 @ X444))))))=>(![X445:$i, X446:$i > $o]:((?[X447:$i]:(((in @ X447 @ X445)&~((X446 @ X447))))=>~(![X448:$i]:(((in @ X448 @ X445)=>(X446 @ X448))))))=>(![X449:$o]:(((X449)=>(in @ emptyset @ (prop2set @ ((X449))))))=>((prop2set2propI)=>(![X450:$i, X451:$i > $o]:((~(?[X452:$i]:(((in @ X452 @ X450)&(X451 @ X452))))=>![X453:$i]:(((in @ X453 @ X450)=>~((X451 @ X453))))))=>(![X454:$i, X455:$i > $o]:((~(![X456:$i]:(((in @ X456 @ X454)=>(X455 @ X456))))=>?[X457:$i]:(((in @ X457 @ X454)&~((X455 @ X457))))))=>(![X458:$i > $o]:((?[X459:$i]:(((X458 @ X459)&![X460:$i]:(((X458 @ X460)=>((X459)=(X460))))))=>(exu @ X458)))=>(![X461:$i > $o]:((?[X462:$i]:((X461 @ X462))=>(![X463:$i, X464:$i]:(((X461 @ X463)=>((X461 @ X464)=>((X463)=(X464)))))=>(exu @ X461))))=>(![X465:$i > $o]:((?[X466:$i]:(![X467:$i]:(((X465 @ X467)<=>((X467)=(X466)))))=>(exu @ X465)))=>(![X468:$i, X469:$i]:((((X468)=(X469))=>![X470:$i, X471:$i]:((((X470)=(X471))=>((in @ X470 @ X468)=>(in @ X471 @ X469))))))=>(![X472:$i, X473:$i]:((((X472)=(X473))=>![X474:$i, X475:$i]:((((X474)=(X475))=>((in @ X474 @ X472)<=>(in @ X475 @ X473))))))=>(![X476:$i > $o]:(((exu @ X476)=>![X477:$i, X478:$i]:(((X476 @ X477)=>((X476 @ X478)=>((X477)=(X478)))))))=>(![X479:$i > $o, X480:$i > $o]:((![X481:$i, X482:$i]:((((X481)=(X482))=>((X479 @ X481)<=>(X480 @ X482))))=>((exu @ X479)<=>(exu @ X480))))=>(((emptyset)=(emptyset))=>(![X483:$i, X484:$i]:((((X483)=(X484))=>![X485:$i, X486:$i]:((((X485)=(X486))=>((setadjoin @ X483 @ X485)=(setadjoin @ X484 @ X486))))))=>(![X487:$i, X488:$i]:((((X487)=(X488))=>((powerset @ X487)=(powerset @ X488))))=>(![X489:$i, X490:$i]:((((X489)=(X490))=>((setunion @ X489)=(setunion @ X490))))=>(((omega)=(omega))=>(![X491:$i > $o]:(((exu @ X491)=>![X492:$i, X493:$i]:(((X491 @ X492)=>((X491 @ X493)=>((X492)=(X493)))))))=>(![X494:$i > $o, X495:$i > $o]:((![X496:$i, X497:$i]:((((X496)=(X497))=>((X494 @ X496)<=>(X495 @ X497))))=>((exu @ X494)=>((exu @ X495)=>((descr @ X494)=(descr @ X495))))))=>(![X498:$i, X499:$i]:((((X498)=(X499))=>![X500:$i > $o, X501:$i > $o]:((![X502:$i]:(((in @ X502 @ X498)=>![X503:$i]:(((in @ X503 @ X499)=>(((X502)=(X503))=>((X500 @ X502)<=>(X501 @ X503)))))))=>((dsetconstr @ X498 @ X500)=(dsetconstr @ X499 @ X501))))))=>(![X504:$i, X505:$i]:((![X506:$i]:(((in @ X506 @ X504)=>(in @ X506 @ X505)))=>(subset @ X504 @ X505)))=>(![X507:$i, X508:$i]:((((X507)=(X508))=>(subset @ X508 @ X507)))=>(![X509:$i, X510:$i]:((((X509)=(X510))=>(subset @ X509 @ X510)))=>(![X511:$i, X512:$i]:((![X513:$i]:(((in @ X513 @ X511)=>(in @ X513 @ X512)))=>(subset @ X511 @ X512)))=>(![X514:$i]:((subset @ emptyset @ X514))=>(![X515:$i, X516:$i, X517:$i]:(((subset @ X515 @ X516)=>((in @ X517 @ X515)=>(in @ X517 @ X516))))=>(![X518:$i, X519:$i, X520:$i]:(((subset @ X518 @ X519)=>(~(in @ X520 @ X519)=>~(in @ X520 @ X518))))=>(![X521:$i, X522:$i, X523:$i]:(((in @ X523 @ X521)=>(~(in @ X523 @ X522)=>~(subset @ X521 @ X522))))=>(![X524:$i, X525:$i]:((~(subset @ X524 @ X525)=>((X524)!=(X525))))=>(![X526:$i, X527:$i, X528:$i]:(((in @ X528 @ X526)=>(~(in @ X528 @ X527)=>((X526)!=(X527)))))=>(![X529:$i]:((subset @ X529 @ X529))=>(![X530:$i, X531:$i, X532:$i]:(((subset @ X530 @ X531)=>((subset @ X531 @ X532)=>(subset @ X530 @ X532))))=>(![X533:$i, X534:$i]:((subset @ X534 @ (setadjoin @ X533 @ X534)))=>(![X535:$i, X536:$i, X537:$i]:(((subset @ X535 @ X537)=>(subset @ X535 @ (setadjoin @ X536 @ X537))))=>(![X538:$i, X539:$i]:(((subset @ X538 @ X539)=>(in @ X538 @ (powerset @ X539))))=>(![X540:$i, X541:$i]:(((subset @ X540 @ X541)=>((subset @ X541 @ X540)=>((X540)=(X541)))))=>(![X542:$i]:(((subset @ X542 @ emptyset)=>((X542)=(emptyset))))=>(![X543:$i, X544:$i]:(((subset @ X544 @ X543)=>(in @ X544 @ (powerset @ X543))))=>(![X545:$i, X546:$i]:(((in @ X546 @ (powerset @ X545))=>(subset @ X546 @ X545)))=>(![X547:$i]:((in @ X547 @ (powerset @ X547)))=>(![X548:$i, X549:$i]:(((subset @ X548 @ X549)=>(subset @ (powerset @ X548) @ (powerset @ X549))))=>(![X550:$i, X551:$i > $o]:((in @ (dsetconstr @ X550 @ X551) @ (powerset @ X550)))=>(![X552:$i, X553:$i > $o]:((subset @ (dsetconstr @ X552 @ X553) @ X552))=>(![X554:$i, X555:$i, X556:$i]:(((in @ X556 @ X554)=>(in @ X556 @ (binunion @ X554 @ X555))))=>(![X557:$i, X558:$i]:((in @ X558 @ (setadjoin @ X557 @ (setadjoin @ X558 @ emptyset))))=>(![X559:$i, X560:$i, X561:$i]:(((in @ X561 @ X560)=>(in @ X561 @ (binunion @ X559 @ X560))))=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_102, c_0_103]), notsubsetI]), subsetE]), eqimpsubset1]), subsetE2]), notequalI1]), notequalI2]), emptysetimpfalse]), subsetRefl]), emptysetE]), subsetTrans]), prop2setE]), setadjoinSub]), notinemptyset]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_104]), c_0_105]), c_0_106]), binunionIL]), upairset2IR]), binunionIR]), nonemptyImpWitness]), c_0_107]), nonemptyE1]), c_0_108]), noeltsimpempty]), emptyI]), setext]), c_0_109]), nonemptyI1]), powersetI]), c_0_110]), setadjoinOr]), setadjoinE]), setadjoinIR]), emptyinunitempty]), setadjoinIL]), emptyinPowerset]), subPowSU]), setunionE]), setunionI]), powersetE]), emptyInPowerset]), uniqinunit]), c_0_111]), upairsetIR]), upairsetIL]), upairsetE]), singletonsswitch]), eqinunit]), notinsingleton]), vacuousDall]), notdallE]), notdexE]), prop2setI]), quantDeMorgan4]), quantDeMorgan3]), quantDeMorgan2]), quantDeMorgan1]), c_0_112]), emptyset__Cong]), c_0_113]), c_0_114]), in__Cong]), inCongP]), c_0_115]), c_0_116]), setadjoin__Cong]), subsetI1]), c_0_117]), c_0_118]), c_0_119]), omega__Cong]), setunion__Cong]), powerset__Cong]), subsetI2]), emptysetsubset]), eqimpsubset2]), c_0_120]), c_0_121]), c_0_122]), c_0_123]), wellorderingAx]), foundationAx]), c_0_124]), omegaIndAx]), omegaSAx]), omega0Ax]), setunionAx]), powersetAx]), setadjoinAx]), emptysetAx]), setextAx])])]), c_0_125])).
% 268.53/34.54 thf(c_0_127, plain, ![X562:$i, X563:$i]:(((binunion @ X562 @ X563)=(setunion @ (setadjoin @ X562 @ (setadjoin @ X563 @ emptyset))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[binunion])])).
% 268.53/34.54 thf(c_0_128, negated_conjecture, ![X564:$i, X565:$i, X567:$i, X568:$i, X569:$i, X570:$i, X571:$i, X572:$i, X573:$i, X574:$i, X575:$i, X577:$i, X578:$i, X580:$i, X581:$i, X582:$i, X583:$i, X584:$i, X586:$i, X587:$i > $i > $o, X588:$i, X591:$i, X593:$i, X594:$i, X595:$i, X596:$i, X598:$i, X599:$i > $o, X600:$i, X601:$i > $o, X602:$i, X603:$i, X604:$i > $o, X605:$i, X606:$i, X607:$i > $o, X608:$i, X609:$i > $o, X611:$i, X612:$o, X613:$i, X614:$i, X615:$o, X616:$i, X617:$i, X618:$i > $o, X620:$i, X621:$i, X624:$i, X626:$i, X628:$i, X629:$i > $o, X630:$i, X631:$i, X633:$i, X634:$i > $o, X635:$i, X636:$i, X637:$i, X638:$i, X639:$i, X640:$i, X641:$i, X642:$i, X643:$i, X644:$i, X645:$i, X646:$o, X647:$i, X648:$i, X649:$i, X650:$i, X651:$i, X652:$i, X654:$i, X655:$i, X656:$i, X657:$i, X658:$i, X659:$i, X660:$i, X661:$i, X662:$i, X663:$i, X664:$o, X666:$i, X667:$i, X668:$i > $o, X670:$i, X671:$i, X672:$i, X674:$i, X675:$i, X676:$i, X677:$i, X678:$i, X679:$i, X680:$i, X681:$i, X682:$i, X683:$i, X684:$i, X685:$i, X686:$i, X687:$i, X688:$i, X689:$i, X690:$i > $o, X691:$i, X692:$i > $o, X693:$i, X694:$i, X695:$i > $o, X696:$i, X698:$i, X699:$i > $o, X701:$i, X702:$i, X703:$i > $o, X705:$i, X706:$i, X707:$i > $o, X708:$i, X710:$o, X711:$i, X712:$i > $o, X714:$i, X715:$i, X716:$i > $o, X717:$i, X719:$i > $o, X720:$i, X722:$i > $o, X723:$i, X726:$i > $o, X727:$i, X729:$i, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i > $o, X738:$i, X739:$i, X740:$i > $o, X741:$i > $o, X744:$i, X745:$i, X746:$i, X747:$i, X748:$i, X749:$i, X750:$i, X751:$i, X752:$i > $o, X753:$i, X754:$i, X755:$i > $o, X756:$i > $o, X759:$i, X760:$i, X761:$i > $o, X762:$i > $o, X765:$i, X766:$i, X768:$i, X769:$i, X770:$i, X771:$i, X772:$i, X773:$i, X775:$i, X776:$i, X777:$i, X778:$i, X779:$i, X780:$i, X781:$i, X782:$i, X783:$i, X784:$i, X785:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i, X803:$i, X804:$i, X805:$i, X806:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$i, X812:$i > $o, X813:$i, X814:$i > $o, X815:$i, X816:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i, X822:$i]:((((~(in @ (esk1_2 @ X564 @ X565) @ X564)|~(in @ (esk1_2 @ X564 @ X565) @ X565)|((X564)=(X565)))&((in @ (esk1_2 @ X564 @ X565) @ X564)|(in @ (esk1_2 @ X564 @ X565) @ X565)|((X564)=(X565))))&(~(in @ X567 @ emptyset)&(((~(in @ X570 @ (setadjoin @ X568 @ X569))|(((X570)=(X568))|(in @ X570 @ X569)))&((((X570)!=(X568))|(in @ X570 @ (setadjoin @ X568 @ X569)))&(~(in @ X570 @ X569)|(in @ X570 @ (setadjoin @ X568 @ X569)))))&(((~(in @ X572 @ (powerset @ X571))|(~(in @ X573 @ X572)|(in @ X573 @ X571)))&(((in @ (esk2_2 @ X574 @ X575) @ X575)|(in @ X575 @ (powerset @ X574)))&(~(in @ (esk2_2 @ X574 @ X575) @ X574)|(in @ X575 @ (powerset @ X574)))))&(((((in @ X578 @ (esk3_2 @ X577 @ X578))|~(in @ X578 @ (setunion @ X577)))&((in @ (esk3_2 @ X577 @ X578) @ X577)|~(in @ X578 @ (setunion @ X577))))&(~(in @ X581 @ X582)|~(in @ X582 @ X580)|(in @ X581 @ (setunion @ X580))))&((in @ emptyset @ omega)&((~(in @ X583 @ omega)|(in @ (setadjoin @ X583 @ X583) @ omega))&(((((in @ (esk4_1 @ X584) @ omega)|~(in @ emptyset @ X584)|(~(in @ X586 @ omega)|(in @ X586 @ X584)))&((in @ (esk4_1 @ X584) @ X584)|~(in @ emptyset @ X584)|(~(in @ X586 @ omega)|(in @ X586 @ X584))))&(~(in @ (setadjoin @ (esk4_1 @ X584) @ (esk4_1 @ X584)) @ X584)|~(in @ emptyset @ X584)|(~(in @ X586 @ omega)|(in @ X586 @ X584))))&((((((in @ (esk7_3 @ X587 @ X588 @ X591) @ X588)|~(in @ X591 @ (esk6_2 @ X587 @ X588))|(in @ (esk5_2 @ X587 @ X588) @ X588))&((X587 @ (esk7_3 @ X587 @ X588 @ X591) @ X591)|~(in @ X591 @ (esk6_2 @ X587 @ X588))|(in @ (esk5_2 @ X587 @ X588) @ X588)))&(~(in @ X594 @ X588)|~(X587 @ X594 @ X593)|(in @ X593 @ (esk6_2 @ X587 @ X588))|(in @ (esk5_2 @ X587 @ X588) @ X588)))&((((in @ (esk7_3 @ X587 @ X588 @ X591) @ X588)|~(in @ X591 @ (esk6_2 @ X587 @ X588))|~(exu @ (X587 @ (esk5_2 @ X587 @ X588))))&((X587 @ (esk7_3 @ X587 @ X588 @ X591) @ X591)|~(in @ X591 @ (esk6_2 @ X587 @ X588))|~(exu @ (X587 @ (esk5_2 @ X587 @ X588)))))&(~(in @ X594 @ X588)|~(X587 @ X594 @ X593)|(in @ X593 @ (esk6_2 @ X587 @ X588))|~(exu @ (X587 @ (esk5_2 @ X587 @ X588))))))&((((in @ (esk8_1 @ X595) @ X595)|~(in @ X596 @ X595))&(~(in @ X598 @ (esk8_1 @ X595))|~(in @ X598 @ X595)|~(in @ X596 @ X595)))&((epred1_0)&((~(exu @ X599)|(X599 @ (descr @ X599)))&((~(in @ X602 @ X600)|(~(X601 @ X602)|(in @ X602 @ (dsetconstr @ X600 @ X601))))&((~(in @ X605 @ (dsetconstr @ X603 @ X604))|(in @ X605 @ X603))&((~(in @ X608 @ (dsetconstr @ X606 @ X607))|(X607 @ X608))&((((X609 @ (esk9_1 @ X609))|~(exu @ X609))&(~(X609 @ X611)|((esk9_1 @ X609)=(X611))|~(exu @ X609)))&((~(in @ X613 @ (prop2set @ ((X612))))|(X612))&((~(in @ X614 @ emptyset)|(X615))&((~(in @ X616 @ emptyset)|~($true))&(~(in @ X617 @ emptyset)&((~(exu @ X618)|(X618 @ (esk10_1 @ X618)))&(((((in @ (esk12_2 @ X620 @ X621) @ X621)|((X620)=(X621))|(in @ (esk11_2 @ X620 @ X621) @ X620))&(~(in @ (esk12_2 @ X620 @ X621) @ X620)|((X620)=(X621))|(in @ (esk11_2 @ X620 @ X621) @ X620)))&(((in @ (esk12_2 @ X620 @ X621) @ X621)|((X620)=(X621))|~(in @ (esk11_2 @ X620 @ X621) @ X621))&(~(in @ (esk12_2 @ X620 @ X621) @ X620)|((X620)=(X621))|~(in @ (esk11_2 @ X620 @ X621) @ X621))))&(((in @ (esk13_1 @ X624) @ X624)|((X624)=(emptyset)))&(((in @ (esk14_1 @ X626) @ X626)|((X626)=(emptyset)))&(((~(in @ X630 @ (dsetconstr @ X628 @ X629))|(X629 @ X630)|~(in @ X630 @ X628))&(~(X629 @ X630)|(in @ X630 @ (dsetconstr @ X628 @ X629))|~(in @ X630 @ X628)))&((~(nonempty @ X631)|(in @ (esk15_1 @ X631) @ X631))&((~(in @ X635 @ X633)|(~(X634 @ X635)|(nonempty @ (dsetconstr @ X633 @ X634))))&((~(in @ X637 @ X636)|(nonempty @ X636))&((in @ X638 @ (setadjoin @ X638 @ X639))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X642 @ X641)|(in @ X642 @ (setadjoin @ X640 @ X641)))&(((((in @ X645 @ X644)|(X646)|((X645)=(X643))|~(in @ X645 @ (setadjoin @ X643 @ X644)))&(~(X646)|(X646)|((X645)=(X643))|~(in @ X645 @ (setadjoin @ X643 @ X644))))&(((in @ X645 @ X644)|(X646)|~(X646)|~(in @ X645 @ (setadjoin @ X643 @ X644)))&(~(X646)|(X646)|~(X646)|~(in @ X645 @ (setadjoin @ X643 @ X644)))))&((~(in @ X649 @ (setadjoin @ X647 @ X648))|(((X649)=(X647))|(in @ X649 @ X648)))&(((dsetconstr @ X650 @ (^[Z0:$i]:($true)))=(X650))&((((in @ (esk16_2 @ X651 @ X652) @ X652)|(in @ X652 @ (powerset @ X651)))&(~(in @ (esk16_2 @ X651 @ X652) @ X651)|(in @ X652 @ (powerset @ X651))))&((in @ emptyset @ (powerset @ X654))&((in @ emptyset @ (powerset @ X655))&((~(in @ X657 @ (powerset @ X656))|(~(in @ X658 @ X657)|(in @ X658 @ X656)))&((~(in @ X660 @ X661)|(~(in @ X661 @ X659)|(in @ X660 @ (setunion @ X659))))&((((in @ X663 @ (esk17_3 @ X662 @ X663 @ X664))|(X664)|~(in @ X663 @ (setunion @ X662)))&(((in @ (esk17_3 @ X662 @ X663 @ X664) @ X662)|(X664)|~(in @ X663 @ (setunion @ X662)))&(~(X664)|(X664)|~(in @ X663 @ (setunion @ X662)))))&((~(in @ X667 @ X666)|(in @ X667 @ (powerset @ (setunion @ X666))))&(((~(X668 @ X670)|((X670)=(esk18_1 @ X668))|~(exu @ X668))&(((X671)!=(esk18_1 @ X668))|(X668 @ X671)|~(exu @ X668)))&((((in @ (esk19_1 @ X672) @ X672)|~(nonempty @ X672))&(($true)|~(nonempty @ X672)))&((~(in @ X674 @ (setadjoin @ X675 @ emptyset))|((X674)=(X675)))&((((X676)=(X677))|~(in @ X677 @ (setadjoin @ X676 @ emptyset)))&((((X678)!=(X679))|(in @ X678 @ (setadjoin @ X679 @ emptyset)))&((~(in @ X680 @ (setadjoin @ X681 @ emptyset))|(in @ X681 @ (setadjoin @ X680 @ emptyset)))&((~(in @ X684 @ (setadjoin @ X682 @ (setadjoin @ X683 @ emptyset)))|(((X684)=(X682))|((X684)=(X683))))&((in @ X685 @ (setadjoin @ X685 @ (setadjoin @ X686 @ emptyset)))&((in @ X688 @ (setadjoin @ X687 @ (setadjoin @ X688 @ emptyset)))&((~(in @ X691 @ X689)|~(X690 @ X691)|(((dsetconstr @ X689 @ X690)!=(emptyset))|~($true)))&((~(in @ X693 @ emptyset)|(X692 @ X693))&((((in @ (esk20_2 @ X694 @ X695) @ X694)|(~(in @ X696 @ X694)|(X695 @ X696)))&(~(X695 @ (esk20_2 @ X694 @ X695))|(~(in @ X696 @ X694)|(X695 @ X696))))&((((in @ (esk21_2 @ X698 @ X699) @ X698)|(~(in @ X701 @ X698)|~(X699 @ X701)))&((X699 @ (esk21_2 @ X698 @ X699))|(~(in @ X701 @ X698)|~(X699 @ X701))))&((((in @ (esk22_2 @ X702 @ X703) @ X702)|(~(in @ X705 @ X702)|~(X703 @ X705)))&((X703 @ (esk22_2 @ X702 @ X703))|(~(in @ X705 @ X702)|~(X703 @ X705))))&((((in @ (esk23_2 @ X706 @ X707) @ X706)|(~(in @ X708 @ X706)|(X707 @ X708)))&(~(X707 @ (esk23_2 @ X706 @ X707))|(~(in @ X708 @ X706)|(X707 @ X708))))&((~(X710)|(in @ emptyset @ (prop2set @ ((X710)))))&((prop2set2propI)&((((in @ (esk24_2 @ X711 @ X712) @ X711)|(~(in @ X714 @ X711)|~(X712 @ X714)))&((X712 @ (esk24_2 @ X711 @ X712))|(~(in @ X714 @ X711)|~(X712 @ X714))))&((((in @ (esk25_2 @ X715 @ X716) @ X715)|(~(in @ X717 @ X715)|(X716 @ X717)))&(~(X716 @ (esk25_2 @ X715 @ X716))|(~(in @ X717 @ X715)|(X716 @ X717))))&((((X719 @ (esk26_2 @ X719 @ X720))|~(X719 @ X720)|(exu @ X719))&(((X720)!=(esk26_2 @ X719 @ X720))|~(X719 @ X720)|(exu @ X719)))&((((X722 @ (esk27_1 @ X722))|(exu @ X722)|~(X722 @ X723))&(((X722 @ (esk28_1 @ X722))|(exu @ X722)|~(X722 @ X723))&(((esk27_1 @ X722)!=(esk28_1 @ X722))|(exu @ X722)|~(X722 @ X723))))&(((~(X726 @ (esk29_2 @ X726 @ X727))|((esk29_2 @ X726 @ X727)!=(X727))|(exu @ X726))&((X726 @ (esk29_2 @ X726 @ X727))|((esk29_2 @ X726 @ X727)=(X727))|(exu @ X726)))&((((X729)!=(X730))|(((X731)!=(X732))|(~(in @ X731 @ X729)|(in @ X732 @ X730))))&(((~(in @ X735 @ X733)|(in @ X736 @ X734)|((X735)!=(X736))|((X733)!=(X734)))&(~(in @ X736 @ X734)|(in @ X735 @ X733)|((X735)!=(X736))|((X733)!=(X734))))&((~(exu @ X737)|(~(X737 @ X738)|(~(X737 @ X739)|((X738)=(X739)))))&((((~(exu @ X740)|(exu @ X741)|((esk30_2 @ X740 @ X741)=(esk31_2 @ X740 @ X741)))&(~(exu @ X741)|(exu @ X740)|((esk30_2 @ X740 @ X741)=(esk31_2 @ X740 @ X741))))&(((~(exu @ X740)|(exu @ X741)|(~(X740 @ (esk30_2 @ X740 @ X741))|~(X741 @ (esk31_2 @ X740 @ X741))))&(~(exu @ X741)|(exu @ X740)|(~(X740 @ (esk30_2 @ X740 @ X741))|~(X741 @ (esk31_2 @ X740 @ X741)))))&((~(exu @ X740)|(exu @ X741)|((X740 @ (esk30_2 @ X740 @ X741))|(X741 @ (esk31_2 @ X740 @ X741))))&(~(exu @ X741)|(exu @ X740)|((X740 @ (esk30_2 @ X740 @ X741))|(X741 @ (esk31_2 @ X740 @ X741)))))))&(((emptyset)=(emptyset))&((((X744)!=(X745))|(((X746)!=(X747))|((setadjoin @ X744 @ X746)=(setadjoin @ X745 @ X747))))&((((X748)!=(X749))|((powerset @ X748)=(powerset @ X749)))&((((X750)!=(X751))|((setunion @ X750)=(setunion @ X751)))&(((omega)=(omega))&((~(exu @ X752)|(~(X752 @ X753)|(~(X752 @ X754)|((X753)=(X754)))))&(((((esk32_2 @ X755 @ X756)=(esk33_2 @ X755 @ X756))|(~(exu @ X755)|(~(exu @ X756)|((descr @ X755)=(descr @ X756)))))&((~(X755 @ (esk32_2 @ X755 @ X756))|~(X756 @ (esk33_2 @ X755 @ X756))|(~(exu @ X755)|(~(exu @ X756)|((descr @ X755)=(descr @ X756)))))&((X755 @ (esk32_2 @ X755 @ X756))|(X756 @ (esk33_2 @ X755 @ X756))|(~(exu @ X755)|(~(exu @ X756)|((descr @ X755)=(descr @ X756)))))))&((((in @ (esk34_4 @ X759 @ X760 @ X761 @ X762) @ X759)|((dsetconstr @ X759 @ X761)=(dsetconstr @ X760 @ X762))|((X759)!=(X760)))&(((in @ (esk35_4 @ X759 @ X760 @ X761 @ X762) @ X760)|((dsetconstr @ X759 @ X761)=(dsetconstr @ X760 @ X762))|((X759)!=(X760)))&((((esk34_4 @ X759 @ X760 @ X761 @ X762)=(esk35_4 @ X759 @ X760 @ X761 @ X762))|((dsetconstr @ X759 @ X761)=(dsetconstr @ X760 @ X762))|((X759)!=(X760)))&((~(X761 @ (esk34_4 @ X759 @ X760 @ X761 @ X762))|~(X762 @ (esk35_4 @ X759 @ X760 @ X761 @ X762))|((dsetconstr @ X759 @ X761)=(dsetconstr @ X760 @ X762))|((X759)!=(X760)))&((X761 @ (esk34_4 @ X759 @ X760 @ X761 @ X762))|(X762 @ (esk35_4 @ X759 @ X760 @ X761 @ X762))|((dsetconstr @ X759 @ X761)=(dsetconstr @ X760 @ X762))|((X759)!=(X760)))))))&((((in @ (esk36_2 @ X765 @ X766) @ X765)|(subset @ X765 @ X766))&(~(in @ (esk36_2 @ X765 @ X766) @ X766)|(subset @ X765 @ X766)))&((((X768)!=(X769))|(subset @ X769 @ X768))&((((X770)!=(X771))|(subset @ X770 @ X771))&((((in @ (esk37_2 @ X772 @ X773) @ X772)|(subset @ X772 @ X773))&(~(in @ (esk37_2 @ X772 @ X773) @ X773)|(subset @ X772 @ X773)))&((subset @ emptyset @ X775)&((~(subset @ X776 @ X777)|(~(in @ X778 @ X776)|(in @ X778 @ X777)))&((~(subset @ X779 @ X780)|((in @ X781 @ X780)|~(in @ X781 @ X779)))&((~(in @ X784 @ X782)|((in @ X784 @ X783)|~(subset @ X782 @ X783)))&(((subset @ X785 @ X786)|((X785)!=(X786)))&((~(in @ X789 @ X787)|((in @ X789 @ X788)|((X787)!=(X788))))&((subset @ X790 @ X790)&((~(subset @ X791 @ X792)|(~(subset @ X792 @ X793)|(subset @ X791 @ X793)))&((subset @ X795 @ (setadjoin @ X794 @ X795))&((~(subset @ X796 @ X798)|(subset @ X796 @ (setadjoin @ X797 @ X798)))&((~(subset @ X799 @ X800)|(in @ X799 @ (powerset @ X800)))&((~(subset @ X801 @ X802)|(~(subset @ X802 @ X801)|((X801)=(X802))))&((~(subset @ X803 @ emptyset)|((X803)=(emptyset)))&((~(subset @ X805 @ X804)|(in @ X805 @ (powerset @ X804)))&((~(in @ X807 @ (powerset @ X806))|(subset @ X807 @ X806))&((in @ X808 @ (powerset @ X808))&((~(subset @ X809 @ X810)|(subset @ (powerset @ X809) @ (powerset @ X810)))&((in @ (dsetconstr @ X811 @ X812) @ (powerset @ X811))&((subset @ (dsetconstr @ X813 @ X814) @ X813)&((~(in @ X817 @ X815)|(in @ X817 @ (binunion @ X815 @ X816)))&((in @ X819 @ (setadjoin @ X818 @ (setadjoin @ X819 @ emptyset)))&((~(in @ X822 @ X821)|(in @ X822 @ (binunion @ X820 @ X821)))&((in @ esk40_0 @ (binunion @ esk38_0 @ esk39_0))&((~(in @ esk40_0 @ esk38_0)|(epred2_0))&((~(in @ esk40_0 @ esk39_0)|(epred2_0))&~(epred2_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])])])])])])).
% 268.53/34.54 thf(c_0_129, plain, ![X827:$i, X828:$i]:(((binunion @ X827 @ X828)=(setunion @ (setadjoin @ X827 @ (setadjoin @ X828 @ emptyset))))), inference(variable_rename,[status(thm)],[c_0_127])).
% 268.53/34.54 thf(c_0_130, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:((((X2)=(X3))|((X2)=(X4))|~((in @ X2 @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)))))), inference(split_conjunct,[status(thm)],[c_0_128])).
% 268.53/34.54 thf(c_0_131, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk3_2 @ X2 @ X3) @ X2)|~((in @ X3 @ (setunion @ X2))))), inference(split_conjunct,[status(thm)],[c_0_128])).
% 268.53/34.54 thf(c_0_132, plain, ![X2:$i, X3:$i]:(((binunion @ X2 @ X3)=(setunion @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_129])).
% 268.53/34.54 thf(c_0_133, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:((((esk3_2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ X4)=(X2))|((esk3_2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ X4)=(X3))|~((in @ X4 @ (binunion @ X2 @ X3))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_131]), c_0_132])).
% 268.53/34.54 thf(c_0_134, negated_conjecture, (in @ esk40_0 @ (binunion @ esk38_0 @ esk39_0)), inference(split_conjunct,[status(thm)],[c_0_128])).
% 268.53/34.54 thf(c_0_135, negated_conjecture, ((epred2_0)|~((in @ esk40_0 @ esk39_0))), inference(split_conjunct,[status(thm)],[c_0_128])).
% 268.53/34.54 thf(c_0_136, negated_conjecture, ~((epred2_0)), inference(split_conjunct,[status(thm)],[c_0_128])).
% 268.53/34.54 thf(c_0_137, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ (esk3_2 @ X3 @ X2))|~((in @ X2 @ (setunion @ X3))))), inference(split_conjunct,[status(thm)],[c_0_128])).
% 268.53/34.54 thf(c_0_138, negated_conjecture, (((esk3_2 @ (setadjoin @ esk38_0 @ (setadjoin @ esk39_0 @ emptyset)) @ esk40_0)=(esk39_0))|((esk3_2 @ (setadjoin @ esk38_0 @ (setadjoin @ esk39_0 @ emptyset)) @ esk40_0)=(esk38_0))), inference(spm,[status(thm)],[c_0_133, c_0_134])).
% 268.53/34.54 thf(c_0_139, negated_conjecture, ~((in @ esk40_0 @ esk39_0)), inference(sr,[status(thm)],[c_0_135, c_0_136])).
% 268.53/34.54 thf(c_0_140, negated_conjecture, ((epred2_0)|~((in @ esk40_0 @ esk38_0))), inference(split_conjunct,[status(thm)],[c_0_128])).
% 268.53/34.54 thf(c_0_141, negated_conjecture, ((esk3_2 @ (setadjoin @ esk38_0 @ (setadjoin @ esk39_0 @ emptyset)) @ esk40_0)=(esk38_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_138]), c_0_132]), c_0_134])]), c_0_139])).
% 268.53/34.54 thf(c_0_142, negated_conjecture, ~((in @ esk40_0 @ esk38_0)), inference(sr,[status(thm)],[c_0_140, c_0_136])).
% 268.53/34.54 thf(c_0_143, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_141]), c_0_132]), c_0_134])]), c_0_142]), ['proof']).
% 268.53/34.54 % SZS output end CNFRefutation
% 268.53/34.54 % Parsed axioms : 222
% 268.53/34.54 % Removed by relevancy pruning/SinE : 120
% 268.53/34.54 % Initial clauses : 173
% 268.53/34.54 % Removed in clause preprocessing : 15
% 268.53/34.54 % Initial clauses in saturation : 158
% 268.53/34.54 % Processed clauses : 3205
% 268.53/34.54 % ...of these trivial : 108
% 268.53/34.54 % ...subsumed : 923
% 268.53/34.54 % ...remaining for further processing : 2174
% 268.53/34.54 % Other redundant clauses eliminated : 41
% 268.53/34.54 % Clauses deleted for lack of memory : 0
% 268.53/34.54 % Backward-subsumed : 261
% 268.53/34.54 % Backward-rewritten : 45
% 268.53/34.54 % Generated clauses : 199454
% 268.53/34.54 % ...of the previous two non-redundant : 196363
% 268.53/34.54 % ...aggressively subsumed : 0
% 268.53/34.54 % Contextual simplify-reflections : 10
% 268.53/34.54 % Paramodulations : 199369
% 268.53/34.54 % Factorizations : 32
% 268.53/34.54 % NegExts : 0
% 268.53/34.54 % Equation resolutions : 41
% 268.53/34.54 % Disequality decompositions : 0
% 268.53/34.54 % Total rewrite steps : 5686
% 268.53/34.54 % ...of those cached : 4831
% 268.53/34.54 % Propositional unsat checks : 0
% 268.53/34.54 % Propositional check models : 0
% 268.53/34.54 % Propositional check unsatisfiable : 0
% 268.53/34.54 % Propositional clauses : 0
% 268.53/34.54 % Propositional clauses after purity: 0
% 268.53/34.54 % Propositional unsat core size : 0
% 268.53/34.54 % Propositional preprocessing time : 0.000
% 268.53/34.54 % Propositional encoding time : 0.000
% 268.53/34.54 % Propositional solver time : 0.000
% 268.53/34.54 % Success case prop preproc time : 0.000
% 268.53/34.54 % Success case prop encoding time : 0.000
% 268.53/34.54 % Success case prop solver time : 0.000
% 268.53/34.54 % Current number of processed clauses : 1713
% 268.53/34.54 % Positive orientable unit clauses : 111
% 268.53/34.54 % Positive unorientable unit clauses: 0
% 268.53/34.54 % Negative unit clauses : 173
% 268.53/34.54 % Non-unit-clauses : 1429
% 268.53/34.54 % Current number of unprocessed clauses: 192340
% 268.53/34.54 % ...number of literals in the above : 823192
% 268.53/34.54 % Current number of archived formulas : 0
% 268.53/34.54 % Current number of archived clauses : 450
% 268.53/34.54 % Clause-clause subsumption calls (NU) : 268897
% 268.53/34.54 % Rec. Clause-clause subsumption calls : 115290
% 268.53/34.54 % Non-unit clause-clause subsumptions : 430
% 268.53/34.54 % Unit Clause-clause subsumption calls : 34154
% 268.53/34.54 % Rewrite failures with RHS unbound : 0
% 268.53/34.54 % BW rewrite match attempts : 98
% 268.53/34.54 % BW rewrite match successes : 43
% 268.53/34.54 % Condensation attempts : 3205
% 268.53/34.54 % Condensation successes : 7
% 268.53/34.54 % Termbank termtop insertions : 3994739
% 268.53/34.54 % Search garbage collected termcells : 9438
% 268.53/34.54
% 268.53/34.54 % -------------------------------------------------
% 268.53/34.54 % User time : 32.825 s
% 268.53/34.54 % System time : 1.059 s
% 268.53/34.54 % Total time : 33.884 s
% 268.53/34.54 % Maximum resident set size: 5896 pages
% 268.53/34.54
% 268.53/34.54 % -------------------------------------------------
% 268.53/34.54 % User time : 32.832 s
% 268.53/34.54 % System time : 1.066 s
% 268.53/34.54 % Total time : 33.898 s
% 268.53/34.54 % Maximum resident set size: 5120 pages
% 268.53/34.54 % E exiting
%------------------------------------------------------------------------------