%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU587^1 : 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 : n014.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 08:24:37 AM UTC 2026
% Result : Theorem 1.61s 0.54s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU587^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.16 % Computer : n014.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Tue Sep 29 13:52:45 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.22 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.Uk8CzPD2nH/E---3.1_2699058.p
% 1.61/0.54 % Version: 3.5.1-ho
% 1.61/0.54 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.61/0.54 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.61/0.54 % Starting ehoh_best5 with 300s (1) cores
% 1.61/0.54 % Starting almost_fo_3_lam with 300s (1) cores
% 1.61/0.54 % Starting new_bool_5 with 300s (1) cores
% 1.61/0.54 % Starting pre_casc_3 with 300s (1) cores
% 1.61/0.54 % Starting ho_unfolding_8 with 300s (1) cores
% 1.61/0.54 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.61/0.54 % Starting new_bool_3 with 300s (1) cores
% 1.61/0.54 % Starting new_ho_5 with 300s (1) cores
% 1.61/0.54 % pre_casc_3 with pid 2699074 completed with status 9
% 1.61/0.54 % new_ho_5 with pid 2699078 completed with status 9
% 1.61/0.54 % ehoh_best5 with pid 2699071 completed with status 0
% 1.61/0.54 % Result found by ehoh_best5
% 1.61/0.54 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.61/0.54 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.61/0.54 % Starting ehoh_best5 with 300s (1) cores
% 1.61/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.61/0.54 % No SInE strategy applied
% 1.61/0.54 % Search class: HGHSM-FSLS31-SHFMMSBN
% 1.61/0.54 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.61/0.54 % Starting SubtermCWHack with 28s (1) cores
% 1.61/0.54 % SubtermCWHack with pid 2699082 completed with status 0
% 1.61/0.54 % Result found by SubtermCWHack
% 1.61/0.54 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.61/0.54 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.61/0.54 % Starting ehoh_best5 with 300s (1) cores
% 1.61/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.61/0.54 % No SInE strategy applied
% 1.61/0.54 % Search class: HGHSM-FSLS31-SHFMMSBN
% 1.61/0.54 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.61/0.54 % Starting SubtermCWHack with 28s (1) cores
% 1.61/0.54 % Preprocessing time : 0.002 s
% 1.61/0.54
% 1.61/0.54 % Proof found!
% 1.61/0.54 % SZS status Theorem
% 1.61/0.54 % SZS output start CNFRefutation
% 1.61/0.54 thf(decl_23, type, in: $i > $i > $o).
% 1.61/0.54 thf(decl_24, type, exu: ($i > $o) > $o).
% 1.61/0.54 thf(decl_25, type, setextAx: $o).
% 1.61/0.54 thf(decl_26, type, emptyset: $i).
% 1.61/0.54 thf(decl_27, type, emptysetAx: $o).
% 1.61/0.54 thf(decl_28, type, setadjoin: $i > $i > $i).
% 1.61/0.54 thf(decl_29, type, setadjoinAx: $o).
% 1.61/0.54 thf(decl_30, type, powerset: $i > $i).
% 1.61/0.54 thf(decl_31, type, powersetAx: $o).
% 1.61/0.54 thf(decl_32, type, setunion: $i > $i).
% 1.61/0.54 thf(decl_33, type, setunionAx: $o).
% 1.61/0.54 thf(decl_34, type, omega: $i).
% 1.61/0.54 thf(decl_35, type, omega0Ax: $o).
% 1.61/0.54 thf(decl_36, type, omegaSAx: $o).
% 1.61/0.54 thf(decl_37, type, omegaIndAx: $o).
% 1.61/0.54 thf(decl_38, type, replAx: $o).
% 1.61/0.54 thf(decl_39, type, foundationAx: $o).
% 1.61/0.54 thf(decl_40, type, wellorderingAx: $o).
% 1.61/0.54 thf(decl_41, type, descr: ($i > $o) > $i).
% 1.61/0.54 thf(decl_42, type, descrp: $o).
% 1.61/0.54 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 1.61/0.54 thf(decl_44, type, dsetconstrI: $o).
% 1.61/0.54 thf(decl_45, type, dsetconstrEL: $o).
% 1.61/0.54 thf(decl_46, type, dsetconstrER: $o).
% 1.61/0.54 thf(decl_47, type, exuE1: $o).
% 1.61/0.54 thf(decl_48, type, prop2set: $o > $i).
% 1.61/0.54 thf(decl_49, type, prop2setE: $o).
% 1.61/0.54 thf(decl_50, type, emptysetE: $o).
% 1.61/0.54 thf(decl_51, type, emptysetimpfalse: $o).
% 1.61/0.54 thf(decl_52, type, notinemptyset: $o).
% 1.61/0.54 thf(decl_53, type, exuE3e: $o).
% 1.61/0.54 thf(decl_54, type, setext: $o).
% 1.61/0.54 thf(decl_55, type, emptyI: $o).
% 1.61/0.54 thf(decl_56, type, noeltsimpempty: $o).
% 1.61/0.54 thf(decl_57, type, setbeta: $o).
% 1.61/0.54 thf(decl_58, type, nonempty: $i > $o).
% 1.61/0.54 thf(decl_59, type, nonemptyE1: $o).
% 1.61/0.54 thf(decl_60, type, nonemptyI: $o).
% 1.61/0.54 thf(decl_61, type, nonemptyI1: $o).
% 1.61/0.54 thf(decl_62, type, setadjoinIL: $o).
% 1.61/0.54 thf(decl_63, type, emptyinunitempty: $o).
% 1.61/0.54 thf(decl_64, type, setadjoinIR: $o).
% 1.61/0.54 thf(decl_65, type, setadjoinE: $o).
% 1.61/0.54 thf(decl_66, type, setadjoinOr: $o).
% 1.61/0.54 thf(decl_67, type, setoftrueEq: $o).
% 1.61/0.54 thf(decl_68, type, powersetI: $o).
% 1.61/0.54 thf(decl_69, type, emptyinPowerset: $o).
% 1.61/0.54 thf(decl_70, type, emptyInPowerset: $o).
% 1.61/0.54 thf(decl_71, type, powersetE: $o).
% 1.61/0.54 thf(decl_72, type, setunionI: $o).
% 1.61/0.54 thf(decl_73, type, setunionE: $o).
% 1.61/0.54 thf(decl_74, type, subPowSU: $o).
% 1.61/0.54 thf(decl_75, type, exuE2: $o).
% 1.61/0.54 thf(decl_76, type, nonemptyImpWitness: $o).
% 1.61/0.54 thf(decl_77, type, uniqinunit: $o).
% 1.61/0.54 thf(decl_78, type, notinsingleton: $o).
% 1.61/0.54 thf(decl_79, type, eqinunit: $o).
% 1.61/0.54 thf(decl_80, type, singletonsswitch: $o).
% 1.61/0.54 thf(decl_81, type, upairsetE: $o).
% 1.61/0.54 thf(decl_82, type, upairsetIL: $o).
% 1.61/0.54 thf(decl_83, type, upairsetIR: $o).
% 1.61/0.54 thf(decl_84, type, emptyE1: $o).
% 1.61/0.54 thf(decl_85, type, vacuousDall: $o).
% 1.61/0.54 thf(decl_86, type, quantDeMorgan1: $o).
% 1.61/0.54 thf(decl_87, type, quantDeMorgan2: $o).
% 1.61/0.54 thf(decl_88, type, quantDeMorgan3: $o).
% 1.61/0.54 thf(decl_89, type, quantDeMorgan4: $o).
% 1.61/0.54 thf(decl_90, type, prop2setI: $o).
% 1.61/0.54 thf(decl_91, type, set2prop: $i > $o).
% 1.61/0.54 thf(decl_92, type, prop2set2propI: $o).
% 1.61/0.54 thf(decl_93, type, notdexE: $o).
% 1.61/0.54 thf(decl_94, type, notdallE: $o).
% 1.61/0.54 thf(decl_95, type, exuI1: $o).
% 1.61/0.54 thf(decl_96, type, exuI3: $o).
% 1.61/0.54 thf(decl_97, type, exuI2: $o).
% 1.61/0.54 thf(decl_98, type, inCongP: $o).
% 1.61/0.54 thf(decl_99, type, in__Cong: $o).
% 1.61/0.54 thf(decl_100, type, exuE3u: $o).
% 1.61/0.54 thf(decl_101, type, exu__Cong: $o).
% 1.61/0.54 thf(decl_102, type, emptyset__Cong: $o).
% 1.61/0.54 thf(decl_103, type, setadjoin__Cong: $o).
% 1.61/0.54 thf(decl_104, type, powerset__Cong: $o).
% 1.61/0.54 thf(decl_105, type, setunion__Cong: $o).
% 1.61/0.54 thf(decl_106, type, omega__Cong: $o).
% 1.61/0.54 thf(decl_107, type, exuEu: $o).
% 1.61/0.54 thf(decl_108, type, descr__Cong: $o).
% 1.61/0.54 thf(decl_109, type, dsetconstr__Cong: $o).
% 1.61/0.54 thf(decl_110, type, subset: $i > $i > $o).
% 1.61/0.54 thf(decl_113, type, subsetI1: $o).
% 1.61/0.54 thf(decl_114, type, eqimpsubset2: $o).
% 1.61/0.54 thf(decl_115, type, eqimpsubset1: $o).
% 1.61/0.54 thf(decl_116, type, subsetI2: $o).
% 1.61/0.54 thf(decl_117, type, emptysetsubset: $o).
% 1.61/0.54 thf(decl_118, type, subsetE: $o).
% 1.61/0.54 thf(decl_119, type, subsetE2: $o).
% 1.61/0.54 thf(decl_120, type, notsubsetI: $o).
% 1.61/0.54 thf(decl_121, type, notequalI1: $o).
% 1.61/0.54 thf(decl_122, type, notequalI2: $o).
% 1.61/0.54 thf(decl_123, type, subsetRefl: $o).
% 1.61/0.54 thf(decl_124, type, subsetTrans: $o).
% 1.61/0.54 thf(decl_125, type, setadjoinSub: $o).
% 1.61/0.54 thf(decl_126, type, setadjoinSub2: $o).
% 1.61/0.54 thf(decl_127, type, subset2powerset: $o).
% 1.61/0.54 thf(decl_128, type, setextsub: $o).
% 1.61/0.54 thf(decl_129, type, subsetemptysetimpeq: $o).
% 1.61/0.54 thf(decl_130, type, powersetI1: $o).
% 1.61/0.54 thf(decl_131, type, powersetE1: $o).
% 1.61/0.54 thf(decl_132, type, inPowerset: $o).
% 1.61/0.54 thf(decl_133, type, powersetsubset: $o).
% 1.61/0.54 thf(decl_134, type, sepInPowerset: $o).
% 1.61/0.54 thf(decl_135, type, sepSubset: $o).
% 1.61/0.54 thf(decl_136, type, binunion: $i > $i > $i).
% 1.61/0.54 thf(decl_137, type, binunionIL: $o).
% 1.61/0.54 thf(decl_138, type, upairset2IR: $o).
% 1.61/0.54 thf(decl_139, type, binunionIR: $o).
% 1.61/0.54 thf(decl_140, type, binunionEcases: $o).
% 1.61/0.54 thf(decl_141, type, binunionE: $o).
% 1.61/0.54 thf(decl_142, type, epred1_0: $o).
% 1.61/0.54 thf(decl_143, type, esk1_2: $i > $i > $i).
% 1.61/0.54 thf(decl_144, type, esk2_2: $i > $i > $i).
% 1.61/0.54 thf(decl_145, type, esk3_2: $i > $i > $i).
% 1.61/0.54 thf(decl_146, type, esk4_1: $i > $i).
% 1.61/0.54 thf(decl_147, type, esk5_2: ($i > $i > $o) > $i > $i).
% 1.61/0.54 thf(decl_148, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 1.61/0.54 thf(decl_149, type, esk7_2: ($i > $i > $o) > $i > $i).
% 1.61/0.54 thf(decl_150, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 1.61/0.54 thf(decl_151, type, esk9_1: $i > $i).
% 1.61/0.54 thf(decl_152, type, esk10_2: ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_153, type, esk11_2: ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_154, type, esk12_1: ($i > $o) > $i).
% 1.61/0.54 thf(decl_155, type, esk13_2: ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_156, type, esk14_1: ($i > $o) > $i).
% 1.61/0.54 thf(decl_157, type, esk15_2: $i > $i > $i).
% 1.61/0.54 thf(decl_158, type, esk16_2: $i > $i > $i).
% 1.61/0.54 thf(decl_159, type, esk17_1: $i > $i).
% 1.61/0.54 thf(decl_160, type, esk18_1: $i > $i).
% 1.61/0.54 thf(decl_161, type, esk19_1: $i > $i).
% 1.61/0.54 thf(decl_162, type, esk20_2: $i > $i > $i).
% 1.61/0.54 thf(decl_163, type, esk21_3: $i > $i > $o > $i).
% 1.61/0.54 thf(decl_164, type, esk22_2: ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_165, type, esk23_1: ($i > $o) > $i).
% 1.61/0.54 thf(decl_166, type, esk24_1: $i > $i).
% 1.61/0.54 thf(decl_167, type, esk25_2: $i > ($i > $o) > $i).
% 1.61/0.54 thf(decl_168, type, esk26_2: $i > ($i > $o) > $i).
% 1.61/0.54 thf(decl_169, type, esk27_2: $i > ($i > $o) > $i).
% 1.61/0.54 thf(decl_170, type, esk28_2: $i > ($i > $o) > $i).
% 1.61/0.54 thf(decl_171, type, esk29_2: $i > ($i > $o) > $i).
% 1.61/0.54 thf(decl_172, type, esk30_2: $i > ($i > $o) > $i).
% 1.61/0.54 thf(decl_173, type, esk31_2: ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_174, type, esk32_1: ($i > $o) > $i).
% 1.61/0.54 thf(decl_175, type, esk33_1: ($i > $o) > $i).
% 1.61/0.54 thf(decl_176, type, esk34_1: ($i > $o) > $i).
% 1.61/0.54 thf(decl_177, type, esk35_1: ($i > $o) > $i).
% 1.61/0.54 thf(decl_178, type, esk36_2: ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_179, type, esk37_1: ($i > $o) > $i).
% 1.61/0.54 thf(decl_180, type, esk38_2: ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_181, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 1.61/0.54 thf(decl_182, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 1.61/0.54 thf(decl_183, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_184, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 1.61/0.54 thf(decl_185, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_186, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 1.61/0.54 thf(decl_187, type, esk45_2: ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_188, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 1.61/0.54 thf(decl_189, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 1.61/0.54 thf(decl_190, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_191, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.61/0.54 thf(decl_192, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.61/0.54 thf(decl_193, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.61/0.54 thf(decl_194, type, esk52_2: $i > $i > $i).
% 1.61/0.54 thf(decl_195, type, esk53_2: $i > $i > $i).
% 1.61/0.54 thf(decl_196, type, esk54_0: $i).
% 1.61/0.54 thf(decl_197, type, esk55_0: $i).
% 1.61/0.54 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', replAx)).
% 1.61/0.54 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', exu)).
% 1.61/0.54 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', descrp)).
% 1.61/0.54 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', exuE1)).
% 1.61/0.54 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', exuE3e)).
% 1.61/0.54 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', nonempty)).
% 1.61/0.54 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', nonemptyI)).
% 1.61/0.54 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', exuE2)).
% 1.61/0.54 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.Uk8CzPD2nH/E---3.1_2699058.p', exuI1)).
% 1.61/0.54 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', exuI3)).
% 1.61/0.54 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', exuI2)).
% 1.61/0.54 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.Uk8CzPD2nH/E---3.1_2699058.p', exuE3u)).
% 1.61/0.54 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', exu__Cong)).
% 1.61/0.54 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', exuEu)).
% 1.61/0.54 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', descr__Cong)).
% 1.61/0.54 thf(binunionLsub, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', binunionLsub)).
% 1.61/0.54 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', dsetconstrI)).
% 1.61/0.54 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', dsetconstrEL)).
% 1.61/0.54 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', dsetconstrER)).
% 1.61/0.54 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setbeta)).
% 1.61/0.54 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', nonemptyE1)).
% 1.61/0.54 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', nonemptyI1)).
% 1.61/0.54 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setoftrueEq)).
% 1.61/0.54 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', nonemptyImpWitness)).
% 1.61/0.54 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.Uk8CzPD2nH/E---3.1_2699058.p', emptyE1)).
% 1.61/0.54 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', dsetconstr__Cong)).
% 1.61/0.54 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', sepInPowerset)).
% 1.61/0.54 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', sepSubset)).
% 1.61/0.54 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setextAx)).
% 1.61/0.54 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', emptysetAx)).
% 1.61/0.54 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setadjoinAx)).
% 1.61/0.54 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', powersetAx)).
% 1.61/0.54 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setunionAx)).
% 1.61/0.54 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', omega0Ax)).
% 1.61/0.54 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', omegaSAx)).
% 1.61/0.54 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', omegaIndAx)).
% 1.61/0.54 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', foundationAx)).
% 1.61/0.54 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.Uk8CzPD2nH/E---3.1_2699058.p', wellorderingAx)).
% 1.61/0.54 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', prop2setE)).
% 1.61/0.54 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', emptysetE)).
% 1.61/0.54 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', emptysetimpfalse)).
% 1.61/0.54 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', notinemptyset)).
% 1.61/0.54 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setext)).
% 1.61/0.54 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', emptyI)).
% 1.61/0.54 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', noeltsimpempty)).
% 1.61/0.54 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setadjoinIL)).
% 1.61/0.54 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', emptyinunitempty)).
% 1.61/0.54 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setadjoinIR)).
% 1.61/0.54 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.Uk8CzPD2nH/E---3.1_2699058.p', setadjoinE)).
% 1.61/0.54 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setadjoinOr)).
% 1.61/0.54 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', powersetI)).
% 1.61/0.54 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', emptyinPowerset)).
% 1.61/0.54 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', emptyInPowerset)).
% 1.61/0.54 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', powersetE)).
% 1.61/0.54 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setunionI)).
% 1.61/0.54 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.Uk8CzPD2nH/E---3.1_2699058.p', setunionE)).
% 1.61/0.54 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', subPowSU)).
% 1.61/0.54 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', uniqinunit)).
% 1.61/0.54 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', notinsingleton)).
% 1.61/0.54 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', eqinunit)).
% 1.61/0.54 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', singletonsswitch)).
% 1.61/0.54 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', upairsetE)).
% 1.61/0.54 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', upairsetIL)).
% 1.61/0.54 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', upairsetIR)).
% 1.61/0.54 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', vacuousDall)).
% 1.61/0.54 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', quantDeMorgan1)).
% 1.61/0.54 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', quantDeMorgan2)).
% 1.61/0.54 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', quantDeMorgan3)).
% 1.61/0.54 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', quantDeMorgan4)).
% 1.61/0.54 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', prop2setI)).
% 1.61/0.54 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', prop2set2propI)).
% 1.61/0.54 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', notdexE)).
% 1.61/0.54 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', notdallE)).
% 1.61/0.54 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', inCongP)).
% 1.61/0.54 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', in__Cong)).
% 1.61/0.54 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', emptyset__Cong)).
% 1.61/0.54 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setadjoin__Cong)).
% 1.61/0.54 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', powerset__Cong)).
% 1.61/0.54 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setunion__Cong)).
% 1.61/0.54 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', omega__Cong)).
% 1.61/0.54 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', subsetI1)).
% 1.61/0.54 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', eqimpsubset2)).
% 1.61/0.54 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', eqimpsubset1)).
% 1.61/0.54 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', subsetI2)).
% 1.61/0.54 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', emptysetsubset)).
% 1.61/0.54 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', subsetE)).
% 1.61/0.54 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', subsetE2)).
% 1.61/0.54 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', notsubsetI)).
% 1.61/0.54 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', notequalI1)).
% 1.61/0.54 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', notequalI2)).
% 1.61/0.54 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', subsetRefl)).
% 1.61/0.54 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', subsetTrans)).
% 1.61/0.54 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setadjoinSub)).
% 1.61/0.54 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setadjoinSub2)).
% 1.61/0.54 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', subset2powerset)).
% 1.61/0.54 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', setextsub)).
% 1.61/0.54 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', subsetemptysetimpeq)).
% 1.61/0.54 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', powersetI1)).
% 1.61/0.54 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', powersetE1)).
% 1.61/0.54 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', inPowerset)).
% 1.61/0.54 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', powersetsubset)).
% 1.61/0.54 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', binunionIL)).
% 1.61/0.54 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', upairset2IR)).
% 1.61/0.54 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', binunionIR)).
% 1.61/0.54 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', binunionEcases)).
% 1.61/0.54 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.Uk8CzPD2nH/E---3.1_2699058.p', binunionE)).
% 1.61/0.54 thf(c_0_106, 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:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 1.61/0.54 thf(c_0_107, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 1.61/0.54 thf(c_0_108, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 1.61/0.54 thf(c_0_109, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 1.61/0.54 thf(c_0_110, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 1.61/0.54 thf(c_0_111, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 1.61/0.54 thf(c_0_112, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 1.61/0.54 thf(c_0_113, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 1.61/0.54 thf(c_0_114, 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])).
% 1.61/0.54 thf(c_0_115, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 1.61/0.54 thf(c_0_116, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 1.61/0.54 thf(c_0_117, 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])).
% 1.61/0.54 thf(c_0_118, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 1.61/0.54 thf(c_0_119, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 1.61/0.54 thf(c_0_120, 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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 1.61/0.54 thf(c_0_121, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[binunionLsub])).
% 1.61/0.54 thf(c_0_122, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X299:$i]:(((((X6 @ X2 @ X299)))&(![X300:$i]:(((((X6 @ X2 @ X300)))=>(((X299)=(X300)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_106, c_0_107])).
% 1.61/0.54 thf(c_0_123, plain, ((descrp)=(![X1:$i > $o]:((((?[X301:$i]:(((((X1 @ X301)))&(![X302:$i]:(((((X1 @ X302)))=>(((X301)=(X302))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_108, c_0_107])).
% 1.61/0.54 thf(c_0_124, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 1.61/0.54 thf(c_0_125, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 1.61/0.54 thf(c_0_126, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 1.61/0.54 thf(c_0_127, plain, ((exuE1)=(![X1:$i > $o]:((((?[X303:$i]:(((((X1 @ X303)))&(![X304:$i]:(((((X1 @ X304)))=>(((X303)=(X304))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_109, c_0_107])).
% 1.61/0.54 thf(c_0_128, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X305:$i]:(((((X1 @ X305)))&(![X306:$i]:(((((X1 @ X306)))=>(((X305)=(X306))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_110, c_0_107])).
% 1.61/0.54 thf(c_0_129, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 1.61/0.54 thf(c_0_130, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_111])).
% 1.61/0.54 thf(c_0_131, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_112, c_0_111])).
% 1.61/0.54 thf(c_0_132, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_111])).
% 1.61/0.54 thf(c_0_133, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 1.61/0.54 thf(c_0_134, plain, ((exuE2)=(![X1:$i > $o]:((((?[X307:$i]:(((((X1 @ X307)))&(![X308:$i]:(((((X1 @ X308)))=>(((X307)=(X308))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_113, c_0_107])).
% 1.61/0.54 thf(c_0_135, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_111])).
% 1.61/0.54 thf(c_0_136, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 1.61/0.54 thf(c_0_137, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X309:$i]:(((((X1 @ X309)))&(![X310:$i]:(((((X1 @ X310)))=>(((X309)=(X310)))))))))))))), inference(apply_def,[status(thm)],[c_0_114, c_0_107])).
% 1.61/0.54 thf(c_0_138, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X311:$i]:(((((X1 @ X311)))&(![X312:$i]:(((((X1 @ X312)))=>(((X311)=(X312)))))))))))))))), inference(apply_def,[status(thm)],[c_0_115, c_0_107])).
% 1.61/0.54 thf(c_0_139, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X313:$i]:(((((X1 @ X313)))&(![X314:$i]:(((((X1 @ X314)))=>(((X313)=(X314)))))))))))))), inference(apply_def,[status(thm)],[c_0_116, c_0_107])).
% 1.61/0.54 thf(c_0_140, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X315:$i]:(((((X1 @ X315)))&(![X316:$i]:(((((X1 @ X316)))=>(((X315)=(X316))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_117, c_0_107])).
% 1.61/0.54 thf(c_0_141, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X317:$i]:(((((X1 @ X317)))&(![X318:$i]:(((((X1 @ X318)))=>(((X317)=(X318))))))))))<=>((?[X319:$i]:(((((X17 @ X319)))&(![X320:$i]:(((((X17 @ X320)))=>(((X319)=(X320)))))))))))))))), inference(apply_def,[status(thm)],[c_0_118, c_0_107])).
% 1.61/0.54 thf(c_0_142, plain, ((exuEu)=(![X1:$i > $o]:((((?[X321:$i]:(((((X1 @ X321)))&(![X322:$i]:(((((X1 @ X322)))=>(((X321)=(X322))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_119, c_0_107])).
% 1.61/0.54 thf(c_0_143, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X323:$i]:(((((X1 @ X323)))&(![X324:$i]:(((((X1 @ X324)))=>(((X323)=(X324))))))))))=>((((?[X325:$i]:(((((X17 @ X325)))&(![X326:$i]:(((((X17 @ X326)))=>(((X325)=(X326))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_120, c_0_107])).
% 1.61/0.54 thf(c_0_144, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 1.61/0.54 thf(c_0_145, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 1.61/0.54 thf(c_0_146, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 1.61/0.54 thf(c_0_147, plain, ((epred1_0)<=>![X356:$i]:(?[X357:$i]:((((![X358:$i]:(((in @ X358 @ X357)=>![X359:$i]:(((in @ X359 @ X358)=>(in @ X359 @ X356)))))&![X360:$i, X361:$i]:((((in @ X360 @ X356)&(in @ X361 @ X356))=>(![X362:$i]:(((in @ X362 @ X357)=>((in @ X360 @ X362)<=>(in @ X361 @ X362))))=>((X360)=(X361))))))&![X363:$i, X364:$i]:((((in @ X363 @ X357)&(in @ X364 @ X357))=>(![X365:$i]:(((in @ X365 @ X363)=>(in @ X365 @ X364)))|![X366:$i]:(((in @ X366 @ X364)=>(in @ X366 @ X363)))))))&![X367:$i]:(((![X368:$i]:(((in @ X368 @ X367)=>(in @ X368 @ X356)))&?[X369:$i]:((in @ X369 @ X367)))=>?[X370:$i, X371:$i]:(((((in @ X370 @ X357)&(in @ X371 @ X367))&~(?[X372:$i]:(((in @ X372 @ X370)&(in @ X372 @ X367)))))&![X373:$i]:(((in @ X373 @ X357)=>(![X374:$i]:(((in @ X374 @ X373)=>(in @ X374 @ X370)))|(in @ X371 @ X373)))))))))))), introduced(definition)).
% 1.61/0.54 thf(c_0_148, negated_conjecture, ~((![X327:$i, X328:$i]:((![X329:$i]:(((in @ X329 @ X327)<=>(in @ X329 @ X328)))=>((X327)=(X328))))=>(![X330:$i]:(~(in @ X330 @ emptyset))=>(![X331:$i, X332:$i, X333:$i]:(((in @ X333 @ (setadjoin @ X331 @ X332))<=>(((X333)=(X331))|(in @ X333 @ X332))))=>(![X334:$i, X335:$i]:(((in @ X335 @ (powerset @ X334))<=>![X336:$i]:(((in @ X336 @ X335)=>(in @ X336 @ X334)))))=>(![X337:$i, X338:$i]:(((in @ X338 @ (setunion @ X337))<=>?[X339:$i]:(((in @ X338 @ X339)&(in @ X339 @ X337)))))=>((in @ emptyset @ omega)=>(![X340:$i]:(((in @ X340 @ omega)=>(in @ (setadjoin @ X340 @ X340) @ omega)))=>(![X341:$i]:((((in @ emptyset @ X341)&![X342:$i]:((((in @ X342 @ omega)&(in @ X342 @ X341))=>(in @ (setadjoin @ X342 @ X342) @ X341))))=>![X343:$i]:(((in @ X343 @ omega)=>(in @ X343 @ X341)))))=>(![X344:$i > $i > $o, X345:$i]:((![X346:$i]:(((in @ X346 @ X345)=>?[X347:$i]:(((X344 @ X346 @ X347)&![X348:$i]:(((X344 @ X346 @ X348)=>((X347)=(X348))))))))=>?[X349:$i]:(![X350:$i]:(((in @ X350 @ X349)<=>?[X351:$i]:(((in @ X351 @ X345)&(X344 @ X351 @ X350))))))))=>(![X352:$i]:((?[X353:$i]:((in @ X353 @ X352))=>?[X354:$i]:(((in @ X354 @ X352)&~(?[X355:$i]:(((in @ X355 @ X354)&(in @ X355 @ X352))))))))=>((epred1_0)=>(![X375:$i > $o]:((?[X376:$i]:(((X375 @ X376)&![X377:$i]:(((X375 @ X377)=>((X376)=(X377))))))=>(X375 @ (descr @ (^[Z0:$i]:(X375 @ Z0))))))=>(![X378:$i, X379:$i > $o, X380:$i]:(((in @ X380 @ X378)=>((X379 @ X380)=>(in @ X380 @ (dsetconstr @ X378 @ X379)))))=>(![X381:$i, X382:$i > $o, X383:$i]:(((in @ X383 @ (dsetconstr @ X381 @ X382))=>(in @ X383 @ X381)))=>(![X384:$i, X385:$i > $o, X386:$i]:(((in @ X386 @ (dsetconstr @ X384 @ X385))=>(X385 @ X386)))=>(![X387:$i > $o]:((?[X388:$i]:(((X387 @ X388)&![X389:$i]:(((X387 @ X389)=>((X388)=(X389))))))=>?[X390:$i]:(((X387 @ X390)&![X391:$i]:(((X387 @ X391)=>((X390)=(X391))))))))=>(![X392:$o, X393:$i]:(((in @ X393 @ (prop2set @ ((X392))))=>(X392)))=>(![X394:$i]:(((in @ X394 @ emptyset)=>![X395:$o]:((X395))))=>(![X396:$i]:(((in @ X396 @ emptyset)=>~($true)))=>(![X397:$i]:(~(in @ X397 @ emptyset))=>(![X398:$i > $o]:((?[X399:$i]:(((X398 @ X399)&![X400:$i]:(((X398 @ X400)=>((X399)=(X400))))))=>?[X401:$i]:((X398 @ X401))))=>(![X402:$i, X403:$i]:((![X404:$i]:(((in @ X404 @ X402)=>(in @ X404 @ X403)))=>(![X405:$i]:(((in @ X405 @ X403)=>(in @ X405 @ X402)))=>((X402)=(X403)))))=>(![X406:$i]:((![X407:$i]:(~(in @ X407 @ X406))=>((X406)=(emptyset))))=>(![X408:$i]:((![X409:$i]:(~(in @ X409 @ X408))=>((X408)=(emptyset))))=>(![X410:$i, X411:$i > $o, X412:$i]:(((in @ X412 @ X410)=>((in @ X412 @ (dsetconstr @ X410 @ X411))<=>(X411 @ X412))))=>(![X413:$i]:((((X413)!=(emptyset))=>?[X414:$i]:((in @ X414 @ X413))))=>(![X415:$i, X416:$i > $o, X417:$i]:(((in @ X417 @ X415)=>((X416 @ X417)=>((dsetconstr @ X415 @ X416)!=(emptyset)))))=>(![X418:$i]:((?[X419:$i]:((in @ X419 @ X418))=>((X418)!=(emptyset))))=>(![X420:$i, X421:$i]:((in @ X420 @ (setadjoin @ X420 @ X421)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X422:$i, X423:$i, X424:$i]:(((in @ X424 @ X423)=>(in @ X424 @ (setadjoin @ X422 @ X423))))=>(![X425:$i, X426:$i, X427:$i]:(((in @ X427 @ (setadjoin @ X425 @ X426))=>![X428:$o]:(((((X427)=(X425))=>(X428))=>(((in @ X427 @ X426)=>(X428))=>(X428))))))=>(![X429:$i, X430:$i, X431:$i]:(((in @ X431 @ (setadjoin @ X429 @ X430))=>(((X431)=(X429))|(in @ X431 @ X430))))=>(![X432:$i]:(((dsetconstr @ X432 @ (^[Z0:$i]:($true)))=(X432)))=>(![X433:$i, X434:$i]:((![X435:$i]:(((in @ X435 @ X434)=>(in @ X435 @ X433)))=>(in @ X434 @ (powerset @ X433))))=>(![X436:$i]:((in @ emptyset @ (powerset @ X436)))=>(![X437:$i]:((in @ emptyset @ (powerset @ X437)))=>(![X438:$i, X439:$i, X440:$i]:(((in @ X439 @ (powerset @ X438))=>((in @ X440 @ X439)=>(in @ X440 @ X438))))=>(![X441:$i, X442:$i, X443:$i]:(((in @ X442 @ X443)=>((in @ X443 @ X441)=>(in @ X442 @ (setunion @ X441)))))=>(![X444:$i, X445:$i]:(((in @ X445 @ (setunion @ X444))=>![X446:$o]:((![X447:$i]:(((in @ X445 @ X447)=>((in @ X447 @ X444)=>(X446))))=>(X446)))))=>(![X448:$i, X449:$i]:(((in @ X449 @ X448)=>(in @ X449 @ (powerset @ (setunion @ X448)))))=>(![X450:$i > $o]:((?[X451:$i]:(((X450 @ X451)&![X452:$i]:(((X450 @ X452)=>((X451)=(X452))))))=>?[X453:$i]:(![X454:$i]:(((X450 @ X454)<=>((X454)=(X453)))))))=>(![X455:$i]:((((X455)!=(emptyset))=>?[X456:$i]:(((in @ X456 @ X455)&$true))))=>(![X457:$i, X458:$i]:(((in @ X457 @ (setadjoin @ X458 @ emptyset))=>((X457)=(X458))))=>(![X459:$i, X460:$i]:((((X459)!=(X460))=>~(in @ X460 @ (setadjoin @ X459 @ emptyset))))=>(![X461:$i, X462:$i]:((((X461)=(X462))=>(in @ X461 @ (setadjoin @ X462 @ emptyset))))=>(![X463:$i, X464:$i]:(((in @ X463 @ (setadjoin @ X464 @ emptyset))=>(in @ X464 @ (setadjoin @ X463 @ emptyset))))=>(![X465:$i, X466:$i, X467:$i]:(((in @ X467 @ (setadjoin @ X465 @ (setadjoin @ X466 @ emptyset)))=>(((X467)=(X465))|((X467)=(X466)))))=>(![X468:$i, X469:$i]:((in @ X468 @ (setadjoin @ X468 @ (setadjoin @ X469 @ emptyset))))=>(![X470:$i, X471:$i]:((in @ X471 @ (setadjoin @ X470 @ (setadjoin @ X471 @ emptyset))))=>(![X472:$i, X473:$i > $o]:((?[X474:$i]:(((in @ X474 @ X472)&(X473 @ X474)))=>(((dsetconstr @ X472 @ X473)=(emptyset))=>~($true))))=>(![X475:$i > $o, X476:$i]:(((in @ X476 @ emptyset)=>(X475 @ X476)))=>(![X477:$i, X478:$i > $o]:((~(![X479:$i]:(((in @ X479 @ X477)=>(X478 @ X479))))=>?[X480:$i]:(((in @ X480 @ X477)&~((X478 @ X480))))))=>(![X481:$i, X482:$i > $o]:((![X483:$i]:(((in @ X483 @ X481)=>~((X482 @ X483))))=>~(?[X484:$i]:(((in @ X484 @ X481)&(X482 @ X484))))))=>(![X485:$i, X486:$i > $o]:((~(?[X487:$i]:(((in @ X487 @ X485)&(X486 @ X487))))=>![X488:$i]:(((in @ X488 @ X485)=>~((X486 @ X488))))))=>(![X489:$i, X490:$i > $o]:((?[X491:$i]:(((in @ X491 @ X489)&~((X490 @ X491))))=>~(![X492:$i]:(((in @ X492 @ X489)=>(X490 @ X492))))))=>(![X493:$o]:(((X493)=>(in @ emptyset @ (prop2set @ ((X493))))))=>(![X494:$o]:(((X494)=>(set2prop @ (prop2set @ ((X494))))))=>(![X495:$i, X496:$i > $o]:((~(?[X497:$i]:(((in @ X497 @ X495)&(X496 @ X497))))=>![X498:$i]:(((in @ X498 @ X495)=>~((X496 @ X498))))))=>(![X499:$i, X500:$i > $o]:((~(![X501:$i]:(((in @ X501 @ X499)=>(X500 @ X501))))=>?[X502:$i]:(((in @ X502 @ X499)&~((X500 @ X502))))))=>(![X503:$i > $o]:((?[X504:$i]:(((X503 @ X504)&![X505:$i]:(((X503 @ X505)=>((X504)=(X505))))))=>?[X506:$i]:(((X503 @ X506)&![X507:$i]:(((X503 @ X507)=>((X506)=(X507))))))))=>(![X508:$i > $o]:((?[X509:$i]:((X508 @ X509))=>(![X510:$i, X511:$i]:(((X508 @ X510)=>((X508 @ X511)=>((X510)=(X511)))))=>?[X512:$i]:(((X508 @ X512)&![X513:$i]:(((X508 @ X513)=>((X512)=(X513)))))))))=>(![X514:$i > $o]:((?[X515:$i]:(![X516:$i]:(((X514 @ X516)<=>((X516)=(X515)))))=>?[X517:$i]:(((X514 @ X517)&![X518:$i]:(((X514 @ X518)=>((X517)=(X518))))))))=>(![X519:$i, X520:$i]:((((X519)=(X520))=>![X521:$i, X522:$i]:((((X521)=(X522))=>((in @ X521 @ X519)=>(in @ X522 @ X520))))))=>(![X523:$i, X524:$i]:((((X523)=(X524))=>![X525:$i, X526:$i]:((((X525)=(X526))=>((in @ X525 @ X523)<=>(in @ X526 @ X524))))))=>(![X527:$i > $o]:((?[X528:$i]:(((X527 @ X528)&![X529:$i]:(((X527 @ X529)=>((X528)=(X529))))))=>![X530:$i, X531:$i]:(((X527 @ X530)=>((X527 @ X531)=>((X530)=(X531)))))))=>(![X532:$i > $o, X533:$i > $o]:((![X534:$i, X535:$i]:((((X534)=(X535))=>((X532 @ X534)<=>(X533 @ X535))))=>(?[X536:$i]:(((X532 @ X536)&![X537:$i]:(((X532 @ X537)=>((X536)=(X537))))))<=>?[X538:$i]:(((X533 @ X538)&![X539:$i]:(((X533 @ X539)=>((X538)=(X539)))))))))=>(((emptyset)=(emptyset))=>(![X540:$i, X541:$i]:((((X540)=(X541))=>![X542:$i, X543:$i]:((((X542)=(X543))=>((setadjoin @ X540 @ X542)=(setadjoin @ X541 @ X543))))))=>(![X544:$i, X545:$i]:((((X544)=(X545))=>((powerset @ X544)=(powerset @ X545))))=>(![X546:$i, X547:$i]:((((X546)=(X547))=>((setunion @ X546)=(setunion @ X547))))=>(((omega)=(omega))=>(![X548:$i > $o]:((?[X549:$i]:(((X548 @ X549)&![X550:$i]:(((X548 @ X550)=>((X549)=(X550))))))=>![X551:$i, X552:$i]:(((X548 @ X551)=>((X548 @ X552)=>((X551)=(X552)))))))=>(![X553:$i > $o, X554:$i > $o]:((![X555:$i, X556:$i]:((((X555)=(X556))=>((X553 @ X555)<=>(X554 @ X556))))=>(?[X557:$i]:(((X553 @ X557)&![X558:$i]:(((X553 @ X558)=>((X557)=(X558))))))=>(?[X559:$i]:(((X554 @ X559)&![X560:$i]:(((X554 @ X560)=>((X559)=(X560))))))=>((descr @ X553)=(descr @ X554))))))=>(![X561:$i, X562:$i]:((((X561)=(X562))=>![X563:$i > $o, X564:$i > $o]:((![X565:$i]:(((in @ X565 @ X561)=>![X566:$i]:(((in @ X566 @ X562)=>(((X565)=(X566))=>((X563 @ X565)<=>(X564 @ X566)))))))=>((dsetconstr @ X561 @ X563)=(dsetconstr @ X562 @ X564))))))=>(![X567:$i, X568:$i]:((![X569:$i]:(((in @ X569 @ X567)=>(in @ X569 @ X568)))=>(subset @ X567 @ X568)))=>(![X570:$i, X571:$i]:((((X570)=(X571))=>(subset @ X571 @ X570)))=>(![X572:$i, X573:$i]:((((X572)=(X573))=>(subset @ X572 @ X573)))=>(![X574:$i, X575:$i]:((![X576:$i]:(((in @ X576 @ X574)=>(in @ X576 @ X575)))=>(subset @ X574 @ X575)))=>(![X577:$i]:((subset @ emptyset @ X577))=>(![X578:$i, X579:$i, X580:$i]:(((subset @ X578 @ X579)=>((in @ X580 @ X578)=>(in @ X580 @ X579))))=>(![X581:$i, X582:$i, X583:$i]:(((subset @ X581 @ X582)=>(~(in @ X583 @ X582)=>~(in @ X583 @ X581))))=>(![X584:$i, X585:$i, X586:$i]:(((in @ X586 @ X584)=>(~(in @ X586 @ X585)=>~(subset @ X584 @ X585))))=>(![X587:$i, X588:$i]:((~(subset @ X587 @ X588)=>((X587)!=(X588))))=>(![X589:$i, X590:$i, X591:$i]:(((in @ X591 @ X589)=>(~(in @ X591 @ X590)=>((X589)!=(X590)))))=>(![X592:$i]:((subset @ X592 @ X592))=>(![X593:$i, X594:$i, X595:$i]:(((subset @ X593 @ X594)=>((subset @ X594 @ X595)=>(subset @ X593 @ X595))))=>(![X596:$i, X597:$i]:((subset @ X597 @ (setadjoin @ X596 @ X597)))=>(![X598:$i, X599:$i, X600:$i]:(((subset @ X598 @ X600)=>(subset @ X598 @ (setadjoin @ X599 @ X600))))=>(![X601:$i, X602:$i]:(((subset @ X601 @ X602)=>(in @ X601 @ (powerset @ X602))))=>(![X603:$i, X604:$i]:(((subset @ X603 @ X604)=>((subset @ X604 @ X603)=>((X603)=(X604)))))=>(![X605:$i]:(((subset @ X605 @ emptyset)=>((X605)=(emptyset))))=>(![X606:$i, X607:$i]:(((subset @ X607 @ X606)=>(in @ X607 @ (powerset @ X606))))=>(![X608:$i, X609:$i]:(((in @ X609 @ (powerset @ X608))=>(subset @ X609 @ X608)))=>(![X610:$i]:((in @ X610 @ (powerset @ X610)))=>(![X611:$i, X612:$i]:(((subset @ X611 @ X612)=>(subset @ (powerset @ X611) @ (powerset @ X612))))=>(![X613:$i, X614:$i > $o]:((in @ (dsetconstr @ X613 @ X614) @ (powerset @ X613)))=>(![X615:$i, X616:$i > $o]:((subset @ (dsetconstr @ X615 @ X616) @ X615))=>(![X617:$i, X618:$i, X619:$i]:(((in @ X619 @ X617)=>(in @ X619 @ (binunion @ X617 @ X618))))=>(![X620:$i, X621:$i]:((in @ X621 @ (setadjoin @ X620 @ (setadjoin @ X621 @ emptyset))))=>(![X622:$i, X623:$i, X624:$i]:(((in @ X624 @ X623)=>(in @ X624 @ (binunion @ X622 @ X623))))=>(![X625:$i, X626:$i, X627:$i, X628:$o]:(((in @ X627 @ (binunion @ X625 @ X626))=>(((in @ X627 @ X625)=>(X628))=>(((in @ X627 @ X626)=>(X628))=>(X628)))))=>(![X629:$i, X630:$i, X631:$i]:(((in @ X631 @ (binunion @ X629 @ X630))=>((in @ X631 @ X629)|(in @ X631 @ X630))))=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_121, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_122]), foundationAx]), wellorderingAx]), c_0_123]), c_0_124]), c_0_125]), c_0_126]), c_0_127]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_128]), setext]), emptyI]), noeltsimpempty]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_133]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_134]), c_0_135]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_136]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_137]), c_0_138]), c_0_139]), inCongP]), in__Cong]), c_0_140]), c_0_141]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_142]), c_0_143]), c_0_144]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_145]), c_0_146]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE])])]), c_0_147])).
% 1.61/0.54 thf(c_0_149, negated_conjecture, ![X632:$i, X633:$i, X635:$i, X636:$i, X637:$i, X638:$i, X639:$i, X640:$i, X641:$i, X642:$i, X643:$i, X645:$i, X646:$i, X648:$i, X649:$i, X650:$i, X651:$i, X652:$i, X654:$i, X655:$i > $i > $o, X656:$i, X658:$i, X661:$i, X663:$i, X664:$i, X665:$i, X666:$i, X668:$i, X669:$i > $o, X670:$i, X672:$i, X673:$i > $o, X674:$i, X675:$i, X676:$i > $o, X677:$i, X678:$i, X679:$i > $o, X680:$i, X681:$i > $o, X682:$i, X685:$i, X686:$o, X687:$i, X688:$i, X689:$o, X690:$i, X691:$i, X692:$i > $o, X693:$i, X696:$i, X697:$i, X700:$i, X702:$i, X704:$i, X705:$i > $o, X706:$i, X707:$i, X709:$i, X710:$i > $o, X711:$i, X712:$i, X713:$i, X714:$i, X715:$i, X716:$i, X717:$i, X718:$i, X719:$i, X720:$i, X721:$i, X722:$o, X723:$i, X724:$i, X725:$i, X726:$i, X727:$i, X728:$i, X730:$i, X731:$i, X732:$i, X733:$i, X734:$i, X735:$i, X736:$i, X737:$i, X738:$i, X739:$i, X740:$o, X742:$i, X743:$i, X744:$i > $o, X745:$i, X748:$i, X749:$i, X750:$i, X752:$i, X753:$i, X754:$i, X755:$i, X756:$i, X757:$i, X758:$i, X759:$i, X760:$i, X761:$i, X762:$i, X763:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i > $o, X769:$i, X770:$i > $o, X771:$i, X772:$i, X773:$i > $o, X774:$i, X776:$i, X777:$i > $o, X779:$i, X780:$i, X781:$i > $o, X783:$i, X784:$i, X785:$i > $o, X786:$i, X788:$o, X789:$o, X790:$i, X791:$i > $o, X793:$i, X794:$i, X795:$i > $o, X796:$i, X798:$i > $o, X799:$i, X802:$i, X803:$i > $o, X804:$i, X808:$i, X809:$i > $o, X810:$i, X813:$i, X814:$i, X815:$i, X816:$i, X817:$i, X818:$i, X819:$i, X820:$i, X821:$i, X822:$i > $o, X823:$i, X825:$i, X826:$i, X827:$i > $o, X828:$i > $o, X831:$i, X834:$i, X835:$i, X838:$i, X839:$i, X840:$i, X841:$i, X842:$i, X843:$i, X844:$i, X845:$i, X846:$i, X847:$i > $o, X848:$i, X850:$i, X851:$i, X852:$i > $o, X853:$i > $o, X856:$i, X858:$i, X860:$i, X861:$i, X862:$i > $o, X863:$i > $o, X866:$i, X867:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i, X887:$i, X888:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$i, X900:$i, X901:$i, X902:$i, X903:$i, X904:$i, X905:$i, X906:$i, X907:$i, X908:$i, X909:$i, X910:$i, X911:$i, X912:$i, X913:$i > $o, X914:$i, X915:$i > $o, X916:$i, X917:$i, X918:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X924:$i, X925:$i, X926:$i, X927:$o, X928:$i, X929:$i, X930:$i]:((((~(in @ (esk1_2 @ X632 @ X633) @ X632)|~(in @ (esk1_2 @ X632 @ X633) @ X633)|((X632)=(X633)))&((in @ (esk1_2 @ X632 @ X633) @ X632)|(in @ (esk1_2 @ X632 @ X633) @ X633)|((X632)=(X633))))&(~(in @ X635 @ emptyset)&(((~(in @ X638 @ (setadjoin @ X636 @ X637))|(((X638)=(X636))|(in @ X638 @ X637)))&((((X638)!=(X636))|(in @ X638 @ (setadjoin @ X636 @ X637)))&(~(in @ X638 @ X637)|(in @ X638 @ (setadjoin @ X636 @ X637)))))&(((~(in @ X640 @ (powerset @ X639))|(~(in @ X641 @ X640)|(in @ X641 @ X639)))&(((in @ (esk2_2 @ X642 @ X643) @ X643)|(in @ X643 @ (powerset @ X642)))&(~(in @ (esk2_2 @ X642 @ X643) @ X642)|(in @ X643 @ (powerset @ X642)))))&(((((in @ X646 @ (esk3_2 @ X645 @ X646))|~(in @ X646 @ (setunion @ X645)))&((in @ (esk3_2 @ X645 @ X646) @ X645)|~(in @ X646 @ (setunion @ X645))))&(~(in @ X649 @ X650)|~(in @ X650 @ X648)|(in @ X649 @ (setunion @ X648))))&((in @ emptyset @ omega)&((~(in @ X651 @ omega)|(in @ (setadjoin @ X651 @ X651) @ omega))&(((((in @ (esk4_1 @ X652) @ omega)|~(in @ emptyset @ X652)|(~(in @ X654 @ omega)|(in @ X654 @ X652)))&((in @ (esk4_1 @ X652) @ X652)|~(in @ emptyset @ X652)|(~(in @ X654 @ omega)|(in @ X654 @ X652))))&(~(in @ (setadjoin @ (esk4_1 @ X652) @ (esk4_1 @ X652)) @ X652)|~(in @ emptyset @ X652)|(~(in @ X654 @ omega)|(in @ X654 @ X652))))&((((((in @ (esk8_3 @ X655 @ X656 @ X661) @ X656)|~(in @ X661 @ (esk7_2 @ X655 @ X656))|(in @ (esk5_2 @ X655 @ X656) @ X656))&((X655 @ (esk8_3 @ X655 @ X656 @ X661) @ X661)|~(in @ X661 @ (esk7_2 @ X655 @ X656))|(in @ (esk5_2 @ X655 @ X656) @ X656)))&(~(in @ X664 @ X656)|~(X655 @ X664 @ X663)|(in @ X663 @ (esk7_2 @ X655 @ X656))|(in @ (esk5_2 @ X655 @ X656) @ X656)))&(((((in @ (esk8_3 @ X655 @ X656 @ X661) @ X656)|~(in @ X661 @ (esk7_2 @ X655 @ X656))|((X655 @ (esk5_2 @ X655 @ X656) @ (esk6_3 @ X655 @ X656 @ X658))|~(X655 @ (esk5_2 @ X655 @ X656) @ X658)))&((X655 @ (esk8_3 @ X655 @ X656 @ X661) @ X661)|~(in @ X661 @ (esk7_2 @ X655 @ X656))|((X655 @ (esk5_2 @ X655 @ X656) @ (esk6_3 @ X655 @ X656 @ X658))|~(X655 @ (esk5_2 @ X655 @ X656) @ X658))))&(~(in @ X664 @ X656)|~(X655 @ X664 @ X663)|(in @ X663 @ (esk7_2 @ X655 @ X656))|((X655 @ (esk5_2 @ X655 @ X656) @ (esk6_3 @ X655 @ X656 @ X658))|~(X655 @ (esk5_2 @ X655 @ X656) @ X658))))&((((in @ (esk8_3 @ X655 @ X656 @ X661) @ X656)|~(in @ X661 @ (esk7_2 @ X655 @ X656))|(((X658)!=(esk6_3 @ X655 @ X656 @ X658))|~(X655 @ (esk5_2 @ X655 @ X656) @ X658)))&((X655 @ (esk8_3 @ X655 @ X656 @ X661) @ X661)|~(in @ X661 @ (esk7_2 @ X655 @ X656))|(((X658)!=(esk6_3 @ X655 @ X656 @ X658))|~(X655 @ (esk5_2 @ X655 @ X656) @ X658))))&(~(in @ X664 @ X656)|~(X655 @ X664 @ X663)|(in @ X663 @ (esk7_2 @ X655 @ X656))|(((X658)!=(esk6_3 @ X655 @ X656 @ X658))|~(X655 @ (esk5_2 @ X655 @ X656) @ X658))))))&((((in @ (esk9_1 @ X665) @ X665)|~(in @ X666 @ X665))&(~(in @ X668 @ (esk9_1 @ X665))|~(in @ X668 @ X665)|~(in @ X666 @ X665)))&((epred1_0)&((((X669 @ (esk10_2 @ X669 @ X670))|~(X669 @ X670)|(X669 @ (descr @ X669)))&(((X670)!=(esk10_2 @ X669 @ X670))|~(X669 @ X670)|(X669 @ (descr @ X669))))&((~(in @ X674 @ X672)|(~(X673 @ X674)|(in @ X674 @ (dsetconstr @ X672 @ X673))))&((~(in @ X677 @ (dsetconstr @ X675 @ X676))|(in @ X677 @ X675))&((~(in @ X680 @ (dsetconstr @ X678 @ X679))|(X679 @ X680))&(((((X681 @ (esk12_1 @ X681))|((X681 @ (esk11_2 @ X681 @ X682))|~(X681 @ X682)))&(~(X681 @ X685)|((esk12_1 @ X681)=(X685))|((X681 @ (esk11_2 @ X681 @ X682))|~(X681 @ X682))))&(((X681 @ (esk12_1 @ X681))|(((X682)!=(esk11_2 @ X681 @ X682))|~(X681 @ X682)))&(~(X681 @ X685)|((esk12_1 @ X681)=(X685))|(((X682)!=(esk11_2 @ X681 @ X682))|~(X681 @ X682)))))&((~(in @ X687 @ (prop2set @ ((X686))))|(X686))&((~(in @ X688 @ emptyset)|(X689))&((~(in @ X690 @ emptyset)|~($true))&(~(in @ X691 @ emptyset)&((((X692 @ (esk13_2 @ X692 @ X693))|~(X692 @ X693)|(X692 @ (esk14_1 @ X692)))&(((X693)!=(esk13_2 @ X692 @ X693))|~(X692 @ X693)|(X692 @ (esk14_1 @ X692))))&(((((in @ (esk16_2 @ X696 @ X697) @ X697)|((X696)=(X697))|(in @ (esk15_2 @ X696 @ X697) @ X696))&(~(in @ (esk16_2 @ X696 @ X697) @ X696)|((X696)=(X697))|(in @ (esk15_2 @ X696 @ X697) @ X696)))&(((in @ (esk16_2 @ X696 @ X697) @ X697)|((X696)=(X697))|~(in @ (esk15_2 @ X696 @ X697) @ X697))&(~(in @ (esk16_2 @ X696 @ X697) @ X696)|((X696)=(X697))|~(in @ (esk15_2 @ X696 @ X697) @ X697))))&(((in @ (esk17_1 @ X700) @ X700)|((X700)=(emptyset)))&(((in @ (esk18_1 @ X702) @ X702)|((X702)=(emptyset)))&(((~(in @ X706 @ (dsetconstr @ X704 @ X705))|(X705 @ X706)|~(in @ X706 @ X704))&(~(X705 @ X706)|(in @ X706 @ (dsetconstr @ X704 @ X705))|~(in @ X706 @ X704)))&((((X707)=(emptyset))|(in @ (esk19_1 @ X707) @ X707))&((~(in @ X711 @ X709)|(~(X710 @ X711)|((dsetconstr @ X709 @ X710)!=(emptyset))))&((~(in @ X713 @ X712)|((X712)!=(emptyset)))&((in @ X714 @ (setadjoin @ X714 @ X715))&((in @ emptyset @ (setadjoin @ emptyset @ emptyset))&((~(in @ X718 @ X717)|(in @ X718 @ (setadjoin @ X716 @ X717)))&(((((in @ X721 @ X720)|(X722)|((X721)=(X719))|~(in @ X721 @ (setadjoin @ X719 @ X720)))&(~(X722)|(X722)|((X721)=(X719))|~(in @ X721 @ (setadjoin @ X719 @ X720))))&(((in @ X721 @ X720)|(X722)|~(X722)|~(in @ X721 @ (setadjoin @ X719 @ X720)))&(~(X722)|(X722)|~(X722)|~(in @ X721 @ (setadjoin @ X719 @ X720)))))&((~(in @ X725 @ (setadjoin @ X723 @ X724))|(((X725)=(X723))|(in @ X725 @ X724)))&(((dsetconstr @ X726 @ (^[Z0:$i]:($true)))=(X726))&((((in @ (esk20_2 @ X727 @ X728) @ X728)|(in @ X728 @ (powerset @ X727)))&(~(in @ (esk20_2 @ X727 @ X728) @ X727)|(in @ X728 @ (powerset @ X727))))&((in @ emptyset @ (powerset @ X730))&((in @ emptyset @ (powerset @ X731))&((~(in @ X733 @ (powerset @ X732))|(~(in @ X734 @ X733)|(in @ X734 @ X732)))&((~(in @ X736 @ X737)|(~(in @ X737 @ X735)|(in @ X736 @ (setunion @ X735))))&((((in @ X739 @ (esk21_3 @ X738 @ X739 @ X740))|(X740)|~(in @ X739 @ (setunion @ X738)))&(((in @ (esk21_3 @ X738 @ X739 @ X740) @ X738)|(X740)|~(in @ X739 @ (setunion @ X738)))&(~(X740)|(X740)|~(in @ X739 @ (setunion @ X738)))))&((~(in @ X743 @ X742)|(in @ X743 @ (powerset @ (setunion @ X742))))&((((~(X744 @ X748)|((X748)=(esk23_1 @ X744))|((X744 @ (esk22_2 @ X744 @ X745))|~(X744 @ X745)))&(((X749)!=(esk23_1 @ X744))|(X744 @ X749)|((X744 @ (esk22_2 @ X744 @ X745))|~(X744 @ X745))))&((~(X744 @ X748)|((X748)=(esk23_1 @ X744))|(((X745)!=(esk22_2 @ X744 @ X745))|~(X744 @ X745)))&(((X749)!=(esk23_1 @ X744))|(X744 @ X749)|(((X745)!=(esk22_2 @ X744 @ X745))|~(X744 @ X745)))))&((((in @ (esk24_1 @ X750) @ X750)|((X750)=(emptyset)))&(($true)|((X750)=(emptyset))))&((~(in @ X752 @ (setadjoin @ X753 @ emptyset))|((X752)=(X753)))&((((X754)=(X755))|~(in @ X755 @ (setadjoin @ X754 @ emptyset)))&((((X756)!=(X757))|(in @ X756 @ (setadjoin @ X757 @ emptyset)))&((~(in @ X758 @ (setadjoin @ X759 @ emptyset))|(in @ X759 @ (setadjoin @ X758 @ emptyset)))&((~(in @ X762 @ (setadjoin @ X760 @ (setadjoin @ X761 @ emptyset)))|(((X762)=(X760))|((X762)=(X761))))&((in @ X763 @ (setadjoin @ X763 @ (setadjoin @ X764 @ emptyset)))&((in @ X766 @ (setadjoin @ X765 @ (setadjoin @ X766 @ emptyset)))&((~(in @ X769 @ X767)|~(X768 @ X769)|(((dsetconstr @ X767 @ X768)!=(emptyset))|~($true)))&((~(in @ X771 @ emptyset)|(X770 @ X771))&((((in @ (esk25_2 @ X772 @ X773) @ X772)|(~(in @ X774 @ X772)|(X773 @ X774)))&(~(X773 @ (esk25_2 @ X772 @ X773))|(~(in @ X774 @ X772)|(X773 @ X774))))&((((in @ (esk26_2 @ X776 @ X777) @ X776)|(~(in @ X779 @ X776)|~(X777 @ X779)))&((X777 @ (esk26_2 @ X776 @ X777))|(~(in @ X779 @ X776)|~(X777 @ X779))))&((((in @ (esk27_2 @ X780 @ X781) @ X780)|(~(in @ X783 @ X780)|~(X781 @ X783)))&((X781 @ (esk27_2 @ X780 @ X781))|(~(in @ X783 @ X780)|~(X781 @ X783))))&((((in @ (esk28_2 @ X784 @ X785) @ X784)|(~(in @ X786 @ X784)|(X785 @ X786)))&(~(X785 @ (esk28_2 @ X784 @ X785))|(~(in @ X786 @ X784)|(X785 @ X786))))&((~(X788)|(in @ emptyset @ (prop2set @ ((X788)))))&((~(X789)|(set2prop @ (prop2set @ ((X789)))))&((((in @ (esk29_2 @ X790 @ X791) @ X790)|(~(in @ X793 @ X790)|~(X791 @ X793)))&((X791 @ (esk29_2 @ X790 @ X791))|(~(in @ X793 @ X790)|~(X791 @ X793))))&((((in @ (esk30_2 @ X794 @ X795) @ X794)|(~(in @ X796 @ X794)|(X795 @ X796)))&(~(X795 @ (esk30_2 @ X794 @ X795))|(~(in @ X796 @ X794)|(X795 @ X796))))&(((((X798 @ (esk32_1 @ X798))|((X798 @ (esk31_2 @ X798 @ X799))|~(X798 @ X799)))&(~(X798 @ X802)|((esk32_1 @ X798)=(X802))|((X798 @ (esk31_2 @ X798 @ X799))|~(X798 @ X799))))&(((X798 @ (esk32_1 @ X798))|(((X799)!=(esk31_2 @ X798 @ X799))|~(X798 @ X799)))&(~(X798 @ X802)|((esk32_1 @ X798)=(X802))|(((X799)!=(esk31_2 @ X798 @ X799))|~(X798 @ X799)))))&(((((X803 @ (esk35_1 @ X803))|(X803 @ (esk33_1 @ X803))|~(X803 @ X804))&(~(X803 @ X808)|((esk35_1 @ X803)=(X808))|(X803 @ (esk33_1 @ X803))|~(X803 @ X804)))&((((X803 @ (esk35_1 @ X803))|(X803 @ (esk34_1 @ X803))|~(X803 @ X804))&(~(X803 @ X808)|((esk35_1 @ X803)=(X808))|(X803 @ (esk34_1 @ X803))|~(X803 @ X804)))&(((X803 @ (esk35_1 @ X803))|((esk33_1 @ X803)!=(esk34_1 @ X803))|~(X803 @ X804))&(~(X803 @ X808)|((esk35_1 @ X803)=(X808))|((esk33_1 @ X803)!=(esk34_1 @ X803))|~(X803 @ X804)))))&(((((X809 @ (esk37_1 @ X809))|(~(X809 @ (esk36_2 @ X809 @ X810))|((esk36_2 @ X809 @ X810)!=(X810))))&(~(X809 @ X813)|((esk37_1 @ X809)=(X813))|(~(X809 @ (esk36_2 @ X809 @ X810))|((esk36_2 @ X809 @ X810)!=(X810)))))&(((X809 @ (esk37_1 @ X809))|((X809 @ (esk36_2 @ X809 @ X810))|((esk36_2 @ X809 @ X810)=(X810))))&(~(X809 @ X813)|((esk37_1 @ X809)=(X813))|((X809 @ (esk36_2 @ X809 @ X810))|((esk36_2 @ X809 @ X810)=(X810))))))&((((X814)!=(X815))|(((X816)!=(X817))|(~(in @ X816 @ X814)|(in @ X817 @ X815))))&(((~(in @ X820 @ X818)|(in @ X821 @ X819)|((X820)!=(X821))|((X818)!=(X819)))&(~(in @ X821 @ X819)|(in @ X820 @ X818)|((X820)!=(X821))|((X818)!=(X819))))&((((X822 @ (esk38_2 @ X822 @ X823))|~(X822 @ X823)|(~(X822 @ X825)|(~(X822 @ X826)|((X825)=(X826)))))&(((X823)!=(esk38_2 @ X822 @ X823))|~(X822 @ X823)|(~(X822 @ X825)|(~(X822 @ X826)|((X825)=(X826))))))&(((((((X828 @ (esk42_2 @ X827 @ X828))|((X827 @ (esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|((esk39_2 @ X827 @ X828)=(esk40_2 @ X827 @ X828)))&(~(X828 @ X834)|((esk42_2 @ X827 @ X828)=(X834))|((X827 @ (esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|((esk39_2 @ X827 @ X828)=(esk40_2 @ X827 @ X828))))&(((X828 @ (esk42_2 @ X827 @ X828))|(((X831)!=(esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|((esk39_2 @ X827 @ X828)=(esk40_2 @ X827 @ X828)))&(~(X828 @ X834)|((esk42_2 @ X827 @ X828)=(X834))|(((X831)!=(esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|((esk39_2 @ X827 @ X828)=(esk40_2 @ X827 @ X828)))))&((((X827 @ (esk44_2 @ X827 @ X828))|((X828 @ (esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|((esk39_2 @ X827 @ X828)=(esk40_2 @ X827 @ X828)))&(~(X827 @ X838)|((esk44_2 @ X827 @ X828)=(X838))|((X828 @ (esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|((esk39_2 @ X827 @ X828)=(esk40_2 @ X827 @ X828))))&(((X827 @ (esk44_2 @ X827 @ X828))|(((X835)!=(esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|((esk39_2 @ X827 @ X828)=(esk40_2 @ X827 @ X828)))&(~(X827 @ X838)|((esk44_2 @ X827 @ X828)=(X838))|(((X835)!=(esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|((esk39_2 @ X827 @ X828)=(esk40_2 @ X827 @ X828))))))&((((((X828 @ (esk42_2 @ X827 @ X828))|((X827 @ (esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|(~(X827 @ (esk39_2 @ X827 @ X828))|~(X828 @ (esk40_2 @ X827 @ X828))))&(~(X828 @ X834)|((esk42_2 @ X827 @ X828)=(X834))|((X827 @ (esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|(~(X827 @ (esk39_2 @ X827 @ X828))|~(X828 @ (esk40_2 @ X827 @ X828)))))&(((X828 @ (esk42_2 @ X827 @ X828))|(((X831)!=(esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|(~(X827 @ (esk39_2 @ X827 @ X828))|~(X828 @ (esk40_2 @ X827 @ X828))))&(~(X828 @ X834)|((esk42_2 @ X827 @ X828)=(X834))|(((X831)!=(esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|(~(X827 @ (esk39_2 @ X827 @ X828))|~(X828 @ (esk40_2 @ X827 @ X828))))))&((((X827 @ (esk44_2 @ X827 @ X828))|((X828 @ (esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|(~(X827 @ (esk39_2 @ X827 @ X828))|~(X828 @ (esk40_2 @ X827 @ X828))))&(~(X827 @ X838)|((esk44_2 @ X827 @ X828)=(X838))|((X828 @ (esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|(~(X827 @ (esk39_2 @ X827 @ X828))|~(X828 @ (esk40_2 @ X827 @ X828)))))&(((X827 @ (esk44_2 @ X827 @ X828))|(((X835)!=(esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|(~(X827 @ (esk39_2 @ X827 @ X828))|~(X828 @ (esk40_2 @ X827 @ X828))))&(~(X827 @ X838)|((esk44_2 @ X827 @ X828)=(X838))|(((X835)!=(esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|(~(X827 @ (esk39_2 @ X827 @ X828))|~(X828 @ (esk40_2 @ X827 @ X828)))))))&(((((X828 @ (esk42_2 @ X827 @ X828))|((X827 @ (esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|((X827 @ (esk39_2 @ X827 @ X828))|(X828 @ (esk40_2 @ X827 @ X828))))&(~(X828 @ X834)|((esk42_2 @ X827 @ X828)=(X834))|((X827 @ (esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|((X827 @ (esk39_2 @ X827 @ X828))|(X828 @ (esk40_2 @ X827 @ X828)))))&(((X828 @ (esk42_2 @ X827 @ X828))|(((X831)!=(esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|((X827 @ (esk39_2 @ X827 @ X828))|(X828 @ (esk40_2 @ X827 @ X828))))&(~(X828 @ X834)|((esk42_2 @ X827 @ X828)=(X834))|(((X831)!=(esk41_3 @ X827 @ X828 @ X831))|~(X827 @ X831))|((X827 @ (esk39_2 @ X827 @ X828))|(X828 @ (esk40_2 @ X827 @ X828))))))&((((X827 @ (esk44_2 @ X827 @ X828))|((X828 @ (esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|((X827 @ (esk39_2 @ X827 @ X828))|(X828 @ (esk40_2 @ X827 @ X828))))&(~(X827 @ X838)|((esk44_2 @ X827 @ X828)=(X838))|((X828 @ (esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|((X827 @ (esk39_2 @ X827 @ X828))|(X828 @ (esk40_2 @ X827 @ X828)))))&(((X827 @ (esk44_2 @ X827 @ X828))|(((X835)!=(esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|((X827 @ (esk39_2 @ X827 @ X828))|(X828 @ (esk40_2 @ X827 @ X828))))&(~(X827 @ X838)|((esk44_2 @ X827 @ X828)=(X838))|(((X835)!=(esk43_3 @ X827 @ X828 @ X835))|~(X828 @ X835))|((X827 @ (esk39_2 @ X827 @ X828))|(X828 @ (esk40_2 @ X827 @ X828)))))))))&(((emptyset)=(emptyset))&((((X839)!=(X840))|(((X841)!=(X842))|((setadjoin @ X839 @ X841)=(setadjoin @ X840 @ X842))))&((((X843)!=(X844))|((powerset @ X843)=(powerset @ X844)))&((((X845)!=(X846))|((setunion @ X845)=(setunion @ X846)))&(((omega)=(omega))&((((X847 @ (esk45_2 @ X847 @ X848))|~(X847 @ X848)|(~(X847 @ X850)|(~(X847 @ X851)|((X850)=(X851)))))&(((X848)!=(esk45_2 @ X847 @ X848))|~(X847 @ X848)|(~(X847 @ X850)|(~(X847 @ X851)|((X850)=(X851))))))&((((((X853 @ (esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|((X852 @ (esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|((esk46_2 @ X852 @ X853)=(esk47_2 @ X852 @ X853)))&(((X858)!=(esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|((X852 @ (esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|((esk46_2 @ X852 @ X853)=(esk47_2 @ X852 @ X853))))&(((X853 @ (esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|(((X856)!=(esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|((esk46_2 @ X852 @ X853)=(esk47_2 @ X852 @ X853)))&(((X858)!=(esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|(((X856)!=(esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|((esk46_2 @ X852 @ X853)=(esk47_2 @ X852 @ X853)))))&(((((X853 @ (esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|((X852 @ (esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|(~(X852 @ (esk46_2 @ X852 @ X853))|~(X853 @ (esk47_2 @ X852 @ X853))))&(((X858)!=(esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|((X852 @ (esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|(~(X852 @ (esk46_2 @ X852 @ X853))|~(X853 @ (esk47_2 @ X852 @ X853)))))&(((X853 @ (esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|(((X856)!=(esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|(~(X852 @ (esk46_2 @ X852 @ X853))|~(X853 @ (esk47_2 @ X852 @ X853))))&(((X858)!=(esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|(((X856)!=(esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|(~(X852 @ (esk46_2 @ X852 @ X853))|~(X853 @ (esk47_2 @ X852 @ X853))))))&((((X853 @ (esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|((X852 @ (esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|((X852 @ (esk46_2 @ X852 @ X853))|(X853 @ (esk47_2 @ X852 @ X853))))&(((X858)!=(esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|((X852 @ (esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|((X852 @ (esk46_2 @ X852 @ X853))|(X853 @ (esk47_2 @ X852 @ X853)))))&(((X853 @ (esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|(((X856)!=(esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|((X852 @ (esk46_2 @ X852 @ X853))|(X853 @ (esk47_2 @ X852 @ X853))))&(((X858)!=(esk49_3 @ X852 @ X853 @ X858))|~(X853 @ X858)|((descr @ X852)=(descr @ X853))|(((X856)!=(esk48_3 @ X852 @ X853 @ X856))|~(X852 @ X856))|((X852 @ (esk46_2 @ X852 @ X853))|(X853 @ (esk47_2 @ X852 @ X853))))))))&((((in @ (esk50_4 @ X860 @ X861 @ X862 @ X863) @ X860)|((dsetconstr @ X860 @ X862)=(dsetconstr @ X861 @ X863))|((X860)!=(X861)))&(((in @ (esk51_4 @ X860 @ X861 @ X862 @ X863) @ X861)|((dsetconstr @ X860 @ X862)=(dsetconstr @ X861 @ X863))|((X860)!=(X861)))&((((esk50_4 @ X860 @ X861 @ X862 @ X863)=(esk51_4 @ X860 @ X861 @ X862 @ X863))|((dsetconstr @ X860 @ X862)=(dsetconstr @ X861 @ X863))|((X860)!=(X861)))&((~(X862 @ (esk50_4 @ X860 @ X861 @ X862 @ X863))|~(X863 @ (esk51_4 @ X860 @ X861 @ X862 @ X863))|((dsetconstr @ X860 @ X862)=(dsetconstr @ X861 @ X863))|((X860)!=(X861)))&((X862 @ (esk50_4 @ X860 @ X861 @ X862 @ X863))|(X863 @ (esk51_4 @ X860 @ X861 @ X862 @ X863))|((dsetconstr @ X860 @ X862)=(dsetconstr @ X861 @ X863))|((X860)!=(X861)))))))&((((in @ (esk52_2 @ X866 @ X867) @ X866)|(subset @ X866 @ X867))&(~(in @ (esk52_2 @ X866 @ X867) @ X867)|(subset @ X866 @ X867)))&((((X869)!=(X870))|(subset @ X870 @ X869))&((((X871)!=(X872))|(subset @ X871 @ X872))&((((in @ (esk53_2 @ X873 @ X874) @ X873)|(subset @ X873 @ X874))&(~(in @ (esk53_2 @ X873 @ X874) @ X874)|(subset @ X873 @ X874)))&((subset @ emptyset @ X876)&((~(subset @ X877 @ X878)|(~(in @ X879 @ X877)|(in @ X879 @ X878)))&((~(subset @ X880 @ X881)|((in @ X882 @ X881)|~(in @ X882 @ X880)))&((~(in @ X885 @ X883)|((in @ X885 @ X884)|~(subset @ X883 @ X884)))&(((subset @ X886 @ X887)|((X886)!=(X887)))&((~(in @ X890 @ X888)|((in @ X890 @ X889)|((X888)!=(X889))))&((subset @ X891 @ X891)&((~(subset @ X892 @ X893)|(~(subset @ X893 @ X894)|(subset @ X892 @ X894)))&((subset @ X896 @ (setadjoin @ X895 @ X896))&((~(subset @ X897 @ X899)|(subset @ X897 @ (setadjoin @ X898 @ X899)))&((~(subset @ X900 @ X901)|(in @ X900 @ (powerset @ X901)))&((~(subset @ X902 @ X903)|(~(subset @ X903 @ X902)|((X902)=(X903))))&((~(subset @ X904 @ emptyset)|((X904)=(emptyset)))&((~(subset @ X906 @ X905)|(in @ X906 @ (powerset @ X905)))&((~(in @ X908 @ (powerset @ X907))|(subset @ X908 @ X907))&((in @ X909 @ (powerset @ X909))&((~(subset @ X910 @ X911)|(subset @ (powerset @ X910) @ (powerset @ X911)))&((in @ (dsetconstr @ X912 @ X913) @ (powerset @ X912))&((subset @ (dsetconstr @ X914 @ X915) @ X914)&((~(in @ X918 @ X916)|(in @ X918 @ (binunion @ X916 @ X917)))&((in @ X920 @ (setadjoin @ X919 @ (setadjoin @ X920 @ emptyset)))&((~(in @ X923 @ X922)|(in @ X923 @ (binunion @ X921 @ X922)))&(((((in @ X926 @ X925)|(X927)|(in @ X926 @ X924)|~(in @ X926 @ (binunion @ X924 @ X925)))&(~(X927)|(X927)|(in @ X926 @ X924)|~(in @ X926 @ (binunion @ X924 @ X925))))&(((in @ X926 @ X925)|(X927)|~(X927)|~(in @ X926 @ (binunion @ X924 @ X925)))&(~(X927)|(X927)|~(X927)|~(in @ X926 @ (binunion @ X924 @ X925)))))&((~(in @ X930 @ (binunion @ X928 @ X929))|((in @ X930 @ X928)|(in @ X930 @ X929)))&~(subset @ esk54_0 @ (binunion @ esk54_0 @ esk55_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_148])])])])])])])).
% 1.61/0.54 thf(c_0_150, negated_conjecture, ![X2:$i, X3:$i]:(((subset @ X2 @ X3)|~((in @ (esk52_2 @ X2 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_149])).
% 1.61/0.54 thf(c_0_151, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (binunion @ X3 @ X4))|~((in @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_149])).
% 1.61/0.54 thf(c_0_152, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((subset @ X2 @ (binunion @ X3 @ X4))|~((in @ (esk52_2 @ X2 @ (binunion @ X3 @ X4)) @ X3)))), inference(spm,[status(thm)],[c_0_150, c_0_151])).
% 1.61/0.54 thf(c_0_153, negated_conjecture, ![X2:$i, X3:$i]:(((in @ (esk52_2 @ X2 @ X3) @ X2)|(subset @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_149])).
% 1.61/0.54 thf(c_0_154, negated_conjecture, ~((subset @ esk54_0 @ (binunion @ esk54_0 @ esk55_0))), inference(split_conjunct,[status(thm)],[c_0_149])).
% 1.61/0.54 thf(c_0_155, negated_conjecture, ![X2:$i, X3:$i]:((subset @ X2 @ (binunion @ X2 @ X3))), inference(spm,[status(thm)],[c_0_152, c_0_153])).
% 1.61/0.54 thf(c_0_156, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154, c_0_155])]), ['proof']).
% 1.61/0.54 % SZS output end CNFRefutation
% 1.61/0.54 % Parsed axioms : 225
% 1.61/0.54 % Removed by relevancy pruning/SinE : 0
% 1.61/0.54 % Initial clauses : 338
% 1.61/0.54 % Removed in clause preprocessing : 137
% 1.61/0.54 % Initial clauses in saturation : 201
% 1.61/0.54 % Processed clauses : 2168
% 1.61/0.54 % ...of these trivial : 15
% 1.61/0.54 % ...subsumed : 1478
% 1.61/0.54 % ...remaining for further processing : 675
% 1.61/0.54 % Other redundant clauses eliminated : 15
% 1.61/0.54 % Clauses deleted for lack of memory : 0
% 1.61/0.54 % Backward-subsumed : 11
% 1.61/0.54 % Backward-rewritten : 7
% 1.61/0.54 % Generated clauses : 28079
% 1.61/0.54 % ...of the previous two non-redundant : 26379
% 1.61/0.54 % ...aggressively subsumed : 0
% 1.61/0.54 % Contextual simplify-reflections : 2
% 1.61/0.54 % Paramodulations : 28062
% 1.61/0.54 % Factorizations : 2
% 1.61/0.54 % NegExts : 0
% 1.61/0.54 % Equation resolutions : 15
% 1.61/0.54 % Disequality decompositions : 0
% 1.61/0.54 % Total rewrite steps : 2751
% 1.61/0.54 % ...of those cached : 2541
% 1.61/0.54 % Propositional unsat checks : 0
% 1.61/0.54 % Propositional check models : 0
% 1.61/0.54 % Propositional check unsatisfiable : 0
% 1.61/0.54 % Propositional clauses : 0
% 1.61/0.54 % Propositional clauses after purity: 0
% 1.61/0.54 % Propositional unsat core size : 0
% 1.61/0.54 % Propositional preprocessing time : 0.000
% 1.61/0.54 % Propositional encoding time : 0.000
% 1.61/0.54 % Propositional solver time : 0.000
% 1.61/0.54 % Success case prop preproc time : 0.000
% 1.61/0.54 % Success case prop encoding time : 0.000
% 1.61/0.54 % Success case prop solver time : 0.000
% 1.61/0.54 % Current number of processed clauses : 644
% 1.61/0.54 % Positive orientable unit clauses : 75
% 1.61/0.54 % Positive unorientable unit clauses: 0
% 1.61/0.54 % Negative unit clauses : 3
% 1.61/0.54 % Non-unit-clauses : 566
% 1.61/0.54 % Current number of unprocessed clauses: 24316
% 1.61/0.54 % ...number of literals in the above : 83364
% 1.61/0.54 % Current number of archived formulas : 0
% 1.61/0.54 % Current number of archived clauses : 18
% 1.61/0.54 % Clause-clause subsumption calls (NU) : 39573
% 1.61/0.54 % Rec. Clause-clause subsumption calls : 27096
% 1.61/0.54 % Non-unit clause-clause subsumptions : 1305
% 1.61/0.54 % Unit Clause-clause subsumption calls : 1131
% 1.61/0.54 % Rewrite failures with RHS unbound : 0
% 1.61/0.54 % BW rewrite match attempts : 55
% 1.61/0.54 % BW rewrite match successes : 5
% 1.61/0.54 % Condensation attempts : 0
% 1.61/0.54 % Condensation successes : 0
% 1.61/0.54 % Termbank termtop insertions : 535925
% 1.61/0.54 % Search garbage collected termcells : 10981
% 1.61/0.54
% 1.61/0.54 % -------------------------------------------------
% 1.61/0.54 % User time : 0.270 s
% 1.61/0.54 % System time : 0.019 s
% 1.61/0.54 % Total time : 0.289 s
% 1.61/0.54 % Maximum resident set size: 6156 pages
% 1.61/0.54
% 1.61/0.54 % -------------------------------------------------
% 1.61/0.54 % User time : 0.387 s
% 1.61/0.54 % System time : 0.081 s
% 1.61/0.54 % Total time : 0.469 s
% 1.61/0.54 % Maximum resident set size: 5120 pages
% 1.61/0.54 % E exiting
%------------------------------------------------------------------------------