%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU617^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:26:56 AM UTC 2026
% Result : Theorem 2.35s 0.60s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU617^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.16 % Computer : n008.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 13:59:09 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 Running higher-order theorem proving
% 0.11/0.23 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p
% 2.35/0.60 % Version: 3.5.1-ho
% 2.35/0.60 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.35/0.60 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.35/0.60 % Starting ehoh_best5 with 300s (1) cores
% 2.35/0.60 % Starting almost_fo_3_lam with 300s (1) cores
% 2.35/0.60 % Starting new_bool_5 with 300s (1) cores
% 2.35/0.60 % Starting pre_casc_3 with 300s (1) cores
% 2.35/0.60 % Starting ho_unfolding_8 with 300s (1) cores
% 2.35/0.60 % Starting new_ho_10_cnf2 with 300s (1) cores
% 2.35/0.60 % Starting new_bool_3 with 300s (1) cores
% 2.35/0.60 % Starting new_ho_5 with 300s (1) cores
% 2.35/0.60 % almost_fo_3_lam with pid 3198989 completed with status 0
% 2.35/0.60 % Result found by almost_fo_3_lam
% 2.35/0.60 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.35/0.60 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.35/0.60 % Starting ehoh_best5 with 300s (1) cores
% 2.35/0.60 % Starting almost_fo_3_lam with 300s (1) cores
% 2.35/0.60 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.35/0.60 % No SInE strategy applied
% 2.35/0.60 % Search class: HGHSM-FSLS31-MHFMMSBN
% 2.35/0.60 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.35/0.60 % Starting SubtermCWHack with 28s (1) cores
% 2.35/0.60 % SubtermCWHack with pid 3199007 completed with status 0
% 2.35/0.60 % Result found by SubtermCWHack
% 2.35/0.60 % Preprocessing class: HSLMSLSSLLLCHFA.
% 2.35/0.60 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 2.35/0.60 % Starting ehoh_best5 with 300s (1) cores
% 2.35/0.60 % Starting almost_fo_3_lam with 300s (1) cores
% 2.35/0.60 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.35/0.60 % No SInE strategy applied
% 2.35/0.60 % Search class: HGHSM-FSLS31-MHFMMSBN
% 2.35/0.60 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 2.35/0.60 % Starting SubtermCWHack with 28s (1) cores
% 2.35/0.60 % Preprocessing time : 0.005 s
% 2.35/0.60
% 2.35/0.60 % Proof found!
% 2.35/0.60 % SZS status Theorem
% 2.35/0.60 % SZS output start CNFRefutation
% 2.35/0.60 thf(decl_23, type, in: $i > $i > $o).
% 2.35/0.60 thf(decl_24, type, exu: ($i > $o) > $o).
% 2.35/0.60 thf(decl_25, type, setextAx: $o).
% 2.35/0.60 thf(decl_26, type, emptyset: $i).
% 2.35/0.60 thf(decl_27, type, emptysetAx: $o).
% 2.35/0.60 thf(decl_28, type, setadjoin: $i > $i > $i).
% 2.35/0.60 thf(decl_29, type, setadjoinAx: $o).
% 2.35/0.60 thf(decl_30, type, powerset: $i > $i).
% 2.35/0.60 thf(decl_31, type, powersetAx: $o).
% 2.35/0.60 thf(decl_32, type, setunion: $i > $i).
% 2.35/0.60 thf(decl_33, type, setunionAx: $o).
% 2.35/0.60 thf(decl_34, type, omega: $i).
% 2.35/0.60 thf(decl_35, type, omega0Ax: $o).
% 2.35/0.60 thf(decl_36, type, omegaSAx: $o).
% 2.35/0.60 thf(decl_37, type, omegaIndAx: $o).
% 2.35/0.60 thf(decl_38, type, replAx: $o).
% 2.35/0.60 thf(decl_39, type, foundationAx: $o).
% 2.35/0.60 thf(decl_40, type, wellorderingAx: $o).
% 2.35/0.60 thf(decl_41, type, descr: ($i > $o) > $i).
% 2.35/0.60 thf(decl_42, type, descrp: $o).
% 2.35/0.60 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 2.35/0.60 thf(decl_44, type, dsetconstrI: $o).
% 2.35/0.60 thf(decl_45, type, dsetconstrEL: $o).
% 2.35/0.60 thf(decl_46, type, dsetconstrER: $o).
% 2.35/0.60 thf(decl_47, type, exuE1: $o).
% 2.35/0.60 thf(decl_48, type, prop2set: $o > $i).
% 2.35/0.60 thf(decl_49, type, prop2setE: $o).
% 2.35/0.60 thf(decl_50, type, emptysetE: $o).
% 2.35/0.60 thf(decl_51, type, emptysetimpfalse: $o).
% 2.35/0.60 thf(decl_52, type, notinemptyset: $o).
% 2.35/0.60 thf(decl_53, type, exuE3e: $o).
% 2.35/0.60 thf(decl_54, type, setext: $o).
% 2.35/0.60 thf(decl_55, type, emptyI: $o).
% 2.35/0.60 thf(decl_56, type, noeltsimpempty: $o).
% 2.35/0.60 thf(decl_57, type, setbeta: $o).
% 2.35/0.60 thf(decl_58, type, nonempty: $i > $o).
% 2.35/0.60 thf(decl_59, type, nonemptyE1: $o).
% 2.35/0.60 thf(decl_60, type, nonemptyI: $o).
% 2.35/0.60 thf(decl_61, type, nonemptyI1: $o).
% 2.35/0.60 thf(decl_62, type, setadjoinIL: $o).
% 2.35/0.60 thf(decl_63, type, emptyinunitempty: $o).
% 2.35/0.60 thf(decl_64, type, setadjoinIR: $o).
% 2.35/0.60 thf(decl_65, type, setadjoinE: $o).
% 2.35/0.60 thf(decl_66, type, setadjoinOr: $o).
% 2.35/0.60 thf(decl_67, type, setoftrueEq: $o).
% 2.35/0.60 thf(decl_68, type, powersetI: $o).
% 2.35/0.60 thf(decl_69, type, emptyinPowerset: $o).
% 2.35/0.60 thf(decl_70, type, emptyInPowerset: $o).
% 2.35/0.60 thf(decl_71, type, powersetE: $o).
% 2.35/0.60 thf(decl_72, type, setunionI: $o).
% 2.35/0.60 thf(decl_73, type, setunionE: $o).
% 2.35/0.60 thf(decl_74, type, subPowSU: $o).
% 2.35/0.60 thf(decl_75, type, exuE2: $o).
% 2.35/0.60 thf(decl_76, type, nonemptyImpWitness: $o).
% 2.35/0.60 thf(decl_77, type, uniqinunit: $o).
% 2.35/0.60 thf(decl_78, type, notinsingleton: $o).
% 2.35/0.60 thf(decl_79, type, eqinunit: $o).
% 2.35/0.60 thf(decl_80, type, singletonsswitch: $o).
% 2.35/0.60 thf(decl_81, type, upairsetE: $o).
% 2.35/0.60 thf(decl_82, type, upairsetIL: $o).
% 2.35/0.60 thf(decl_83, type, upairsetIR: $o).
% 2.35/0.60 thf(decl_84, type, emptyE1: $o).
% 2.35/0.60 thf(decl_85, type, vacuousDall: $o).
% 2.35/0.60 thf(decl_86, type, quantDeMorgan1: $o).
% 2.35/0.60 thf(decl_87, type, quantDeMorgan2: $o).
% 2.35/0.60 thf(decl_88, type, quantDeMorgan3: $o).
% 2.35/0.60 thf(decl_89, type, quantDeMorgan4: $o).
% 2.35/0.60 thf(decl_90, type, prop2setI: $o).
% 2.35/0.60 thf(decl_91, type, set2prop: $i > $o).
% 2.35/0.60 thf(decl_92, type, prop2set2propI: $o).
% 2.35/0.60 thf(decl_93, type, notdexE: $o).
% 2.35/0.60 thf(decl_94, type, notdallE: $o).
% 2.35/0.60 thf(decl_95, type, exuI1: $o).
% 2.35/0.60 thf(decl_96, type, exuI3: $o).
% 2.35/0.60 thf(decl_97, type, exuI2: $o).
% 2.35/0.60 thf(decl_98, type, inCongP: $o).
% 2.35/0.60 thf(decl_99, type, in__Cong: $o).
% 2.35/0.60 thf(decl_100, type, exuE3u: $o).
% 2.35/0.60 thf(decl_101, type, exu__Cong: $o).
% 2.35/0.60 thf(decl_102, type, emptyset__Cong: $o).
% 2.35/0.60 thf(decl_103, type, setadjoin__Cong: $o).
% 2.35/0.60 thf(decl_104, type, powerset__Cong: $o).
% 2.35/0.60 thf(decl_105, type, setunion__Cong: $o).
% 2.35/0.60 thf(decl_106, type, omega__Cong: $o).
% 2.35/0.60 thf(decl_107, type, exuEu: $o).
% 2.35/0.60 thf(decl_108, type, descr__Cong: $o).
% 2.35/0.60 thf(decl_109, type, dsetconstr__Cong: $o).
% 2.35/0.60 thf(decl_110, type, subset: $i > $i > $o).
% 2.35/0.60 thf(decl_113, type, subsetI1: $o).
% 2.35/0.60 thf(decl_114, type, eqimpsubset2: $o).
% 2.35/0.60 thf(decl_115, type, eqimpsubset1: $o).
% 2.35/0.60 thf(decl_116, type, subsetI2: $o).
% 2.35/0.60 thf(decl_117, type, emptysetsubset: $o).
% 2.35/0.60 thf(decl_118, type, subsetE: $o).
% 2.35/0.60 thf(decl_119, type, subsetE2: $o).
% 2.35/0.60 thf(decl_120, type, notsubsetI: $o).
% 2.35/0.60 thf(decl_121, type, notequalI1: $o).
% 2.35/0.60 thf(decl_122, type, notequalI2: $o).
% 2.35/0.60 thf(decl_123, type, subsetRefl: $o).
% 2.35/0.60 thf(decl_124, type, subsetTrans: $o).
% 2.35/0.60 thf(decl_125, type, setadjoinSub: $o).
% 2.35/0.60 thf(decl_126, type, setadjoinSub2: $o).
% 2.35/0.60 thf(decl_127, type, subset2powerset: $o).
% 2.35/0.60 thf(decl_128, type, setextsub: $o).
% 2.35/0.60 thf(decl_129, type, subsetemptysetimpeq: $o).
% 2.35/0.60 thf(decl_130, type, powersetI1: $o).
% 2.35/0.60 thf(decl_131, type, powersetE1: $o).
% 2.35/0.60 thf(decl_132, type, inPowerset: $o).
% 2.35/0.60 thf(decl_133, type, powersetsubset: $o).
% 2.35/0.60 thf(decl_134, type, sepInPowerset: $o).
% 2.35/0.60 thf(decl_135, type, sepSubset: $o).
% 2.35/0.60 thf(decl_136, type, binunion: $i > $i > $i).
% 2.35/0.60 thf(decl_137, type, binunionIL: $o).
% 2.35/0.60 thf(decl_138, type, upairset2IR: $o).
% 2.35/0.60 thf(decl_139, type, binunionIR: $o).
% 2.35/0.60 thf(decl_140, type, binunionEcases: $o).
% 2.35/0.60 thf(decl_141, type, binunionE: $o).
% 2.35/0.60 thf(decl_142, type, binunionLsub: $o).
% 2.35/0.60 thf(decl_143, type, binunionRsub: $o).
% 2.35/0.60 thf(decl_144, type, binintersect: $i > $i > $i).
% 2.35/0.60 thf(decl_145, type, binintersectI: $o).
% 2.35/0.60 thf(decl_146, type, binintersectSubset5: $o).
% 2.35/0.60 thf(decl_147, type, binintersectEL: $o).
% 2.35/0.60 thf(decl_148, type, binintersectLsub: $o).
% 2.35/0.60 thf(decl_149, type, binintersectSubset2: $o).
% 2.35/0.60 thf(decl_150, type, binintersectSubset3: $o).
% 2.35/0.60 thf(decl_151, type, binintersectER: $o).
% 2.35/0.60 thf(decl_152, type, disjointsetsI1: $o).
% 2.35/0.60 thf(decl_153, type, binintersectRsub: $o).
% 2.35/0.60 thf(decl_154, type, binintersectSubset4: $o).
% 2.35/0.60 thf(decl_155, type, binintersectSubset1: $o).
% 2.35/0.60 thf(decl_156, type, bs114d: $o).
% 2.35/0.60 thf(decl_158, type, setminus: $i > $i > $i).
% 2.35/0.60 thf(decl_159, type, setminusI: $o).
% 2.35/0.60 thf(decl_160, type, setminusEL: $o).
% 2.35/0.60 thf(decl_161, type, setminusER: $o).
% 2.35/0.60 thf(decl_162, type, setminusSubset2: $o).
% 2.35/0.60 thf(decl_163, type, setminusERneg: $o).
% 2.35/0.60 thf(decl_164, type, setminusELneg: $o).
% 2.35/0.60 thf(decl_165, type, setminusILneg: $o).
% 2.35/0.60 thf(decl_166, type, setminusIRneg: $o).
% 2.35/0.60 thf(decl_167, type, setminusLsub: $o).
% 2.35/0.60 thf(decl_168, type, setminusSubset1: $o).
% 2.35/0.60 thf(decl_169, type, symdiff: $i > $i > $i).
% 2.35/0.60 thf(decl_170, type, symdiffE: $o).
% 2.35/0.60 thf(decl_171, type, symdiffI1: $o).
% 2.35/0.60 thf(decl_172, type, symdiffI2: $o).
% 2.35/0.60 thf(decl_173, type, symdiffIneg1: $o).
% 2.35/0.60 thf(decl_174, type, symdiffIneg2: $o).
% 2.35/0.60 thf(decl_176, type, secondinupair: $o).
% 2.35/0.60 thf(decl_177, type, epred1_0: $o).
% 2.35/0.60 thf(decl_178, type, esk1_2: $i > $i > $i).
% 2.35/0.60 thf(decl_179, type, esk2_2: $i > $i > $i).
% 2.35/0.60 thf(decl_180, type, esk3_2: $i > $i > $i).
% 2.35/0.60 thf(decl_181, type, esk4_1: $i > $i).
% 2.35/0.60 thf(decl_182, type, esk5_2: ($i > $i > $o) > $i > $i).
% 2.35/0.60 thf(decl_183, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 2.35/0.60 thf(decl_184, type, esk7_2: ($i > $i > $o) > $i > $i).
% 2.35/0.60 thf(decl_185, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 2.35/0.60 thf(decl_186, type, esk9_1: $i > $i).
% 2.35/0.60 thf(decl_187, type, esk10_2: ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_188, type, esk11_2: ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_189, type, esk12_1: ($i > $o) > $i).
% 2.35/0.60 thf(decl_190, type, esk13_2: ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_191, type, esk14_1: ($i > $o) > $i).
% 2.35/0.60 thf(decl_192, type, esk15_2: $i > $i > $i).
% 2.35/0.60 thf(decl_193, type, esk16_2: $i > $i > $i).
% 2.35/0.60 thf(decl_194, type, esk17_1: $i > $i).
% 2.35/0.60 thf(decl_195, type, esk18_1: $i > $i).
% 2.35/0.60 thf(decl_196, type, esk19_1: $i > $i).
% 2.35/0.60 thf(decl_197, type, esk20_2: $i > $i > $i).
% 2.35/0.60 thf(decl_198, type, esk21_3: $i > $i > $o > $i).
% 2.35/0.60 thf(decl_199, type, esk22_2: ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_200, type, esk23_1: ($i > $o) > $i).
% 2.35/0.60 thf(decl_201, type, esk24_1: $i > $i).
% 2.35/0.60 thf(decl_202, type, esk25_2: $i > ($i > $o) > $i).
% 2.35/0.60 thf(decl_203, type, esk26_2: $i > ($i > $o) > $i).
% 2.35/0.60 thf(decl_204, type, esk27_2: $i > ($i > $o) > $i).
% 2.35/0.60 thf(decl_205, type, esk28_2: $i > ($i > $o) > $i).
% 2.35/0.60 thf(decl_206, type, esk29_2: $i > ($i > $o) > $i).
% 2.35/0.60 thf(decl_207, type, esk30_2: $i > ($i > $o) > $i).
% 2.35/0.60 thf(decl_208, type, esk31_2: ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_209, type, esk32_1: ($i > $o) > $i).
% 2.35/0.60 thf(decl_210, type, esk33_1: ($i > $o) > $i).
% 2.35/0.60 thf(decl_211, type, esk34_1: ($i > $o) > $i).
% 2.35/0.60 thf(decl_212, type, esk35_1: ($i > $o) > $i).
% 2.35/0.60 thf(decl_213, type, esk36_2: ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_214, type, esk37_1: ($i > $o) > $i).
% 2.35/0.60 thf(decl_215, type, esk38_2: ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_216, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 2.35/0.60 thf(decl_217, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 2.35/0.60 thf(decl_218, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_219, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 2.35/0.60 thf(decl_220, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_221, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 2.35/0.60 thf(decl_222, type, esk45_2: ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_223, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 2.35/0.60 thf(decl_224, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 2.35/0.60 thf(decl_225, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_226, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 2.35/0.60 thf(decl_227, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.35/0.60 thf(decl_228, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.35/0.60 thf(decl_229, type, esk52_2: $i > $i > $i).
% 2.35/0.60 thf(decl_230, type, esk53_2: $i > $i > $i).
% 2.35/0.60 thf(decl_231, type, esk54_2: $i > $i > $i).
% 2.35/0.60 thf(decl_232, type, esk55_0: $i).
% 2.35/0.60 thf(decl_233, type, esk56_0: $i).
% 2.35/0.60 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', replAx)).
% 2.35/0.60 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', exu)).
% 2.35/0.60 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', descrp)).
% 2.35/0.60 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', exuE1)).
% 2.35/0.60 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', exuE3e)).
% 2.35/0.60 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', nonempty)).
% 2.35/0.60 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', nonemptyI)).
% 2.35/0.60 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', exuE2)).
% 2.35/0.60 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', exuI1)).
% 2.35/0.60 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', exuI3)).
% 2.35/0.60 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', exuI2)).
% 2.35/0.60 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', exuE3u)).
% 2.35/0.60 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', exu__Cong)).
% 2.35/0.60 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', exuEu)).
% 2.35/0.60 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', descr__Cong)).
% 2.35/0.60 thf(setukpairIL, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setukpairIL)).
% 2.35/0.60 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', dsetconstrI)).
% 2.35/0.60 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', dsetconstrEL)).
% 2.35/0.60 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', dsetconstrER)).
% 2.35/0.60 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setbeta)).
% 2.35/0.60 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', nonemptyE1)).
% 2.35/0.60 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', nonemptyI1)).
% 2.35/0.60 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setoftrueEq)).
% 2.35/0.60 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', nonemptyImpWitness)).
% 2.35/0.60 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', emptyE1)).
% 2.35/0.60 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', dsetconstr__Cong)).
% 2.35/0.60 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', sepInPowerset)).
% 2.35/0.60 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', sepSubset)).
% 2.35/0.60 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setextAx)).
% 2.35/0.60 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', emptysetAx)).
% 2.35/0.60 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setadjoinAx)).
% 2.35/0.60 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', powersetAx)).
% 2.35/0.60 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setunionAx)).
% 2.35/0.60 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', omega0Ax)).
% 2.35/0.60 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', omegaSAx)).
% 2.35/0.60 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', omegaIndAx)).
% 2.35/0.60 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', foundationAx)).
% 2.35/0.60 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', wellorderingAx)).
% 2.35/0.60 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', prop2setE)).
% 2.35/0.60 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', emptysetE)).
% 2.35/0.60 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', emptysetimpfalse)).
% 2.35/0.60 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', notinemptyset)).
% 2.35/0.60 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setext)).
% 2.35/0.60 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', emptyI)).
% 2.35/0.60 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', noeltsimpempty)).
% 2.35/0.60 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setadjoinIL)).
% 2.35/0.60 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', emptyinunitempty)).
% 2.35/0.60 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setadjoinIR)).
% 2.35/0.60 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setadjoinE)).
% 2.35/0.60 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setadjoinOr)).
% 2.35/0.60 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', powersetI)).
% 2.35/0.60 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', emptyinPowerset)).
% 2.35/0.60 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', emptyInPowerset)).
% 2.35/0.60 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', powersetE)).
% 2.35/0.60 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setunionI)).
% 2.35/0.60 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setunionE)).
% 2.35/0.60 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', subPowSU)).
% 2.35/0.60 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', uniqinunit)).
% 2.35/0.60 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', notinsingleton)).
% 2.35/0.60 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', eqinunit)).
% 2.35/0.60 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', singletonsswitch)).
% 2.35/0.60 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', upairsetE)).
% 2.35/0.60 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', upairsetIL)).
% 2.35/0.60 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', upairsetIR)).
% 2.35/0.60 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', vacuousDall)).
% 2.35/0.60 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', quantDeMorgan1)).
% 2.35/0.60 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', quantDeMorgan2)).
% 2.35/0.60 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', quantDeMorgan3)).
% 2.35/0.60 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', quantDeMorgan4)).
% 2.35/0.60 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', prop2setI)).
% 2.35/0.60 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', prop2set2propI)).
% 2.35/0.60 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', notdexE)).
% 2.35/0.60 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', notdallE)).
% 2.35/0.60 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', inCongP)).
% 2.35/0.60 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', in__Cong)).
% 2.35/0.60 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', emptyset__Cong)).
% 2.35/0.60 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setadjoin__Cong)).
% 2.35/0.60 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', powerset__Cong)).
% 2.35/0.60 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setunion__Cong)).
% 2.35/0.60 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', omega__Cong)).
% 2.35/0.60 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', subsetI1)).
% 2.35/0.60 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', eqimpsubset2)).
% 2.35/0.60 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', eqimpsubset1)).
% 2.35/0.60 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', subsetI2)).
% 2.35/0.60 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', emptysetsubset)).
% 2.35/0.60 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', subsetE)).
% 2.35/0.60 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', subsetE2)).
% 2.35/0.60 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', notsubsetI)).
% 2.35/0.60 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', notequalI1)).
% 2.35/0.60 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', notequalI2)).
% 2.35/0.60 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', subsetRefl)).
% 2.35/0.60 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', subsetTrans)).
% 2.35/0.60 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setadjoinSub)).
% 2.35/0.60 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setadjoinSub2)).
% 2.35/0.60 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', subset2powerset)).
% 2.35/0.60 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setextsub)).
% 2.35/0.60 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', subsetemptysetimpeq)).
% 2.35/0.60 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', powersetI1)).
% 2.35/0.60 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', powersetE1)).
% 2.35/0.60 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', inPowerset)).
% 2.35/0.60 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', powersetsubset)).
% 2.35/0.60 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binunionIL)).
% 2.35/0.60 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', upairset2IR)).
% 2.35/0.60 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binunionIR)).
% 2.35/0.60 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binunionEcases)).
% 2.35/0.60 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binunionE)).
% 2.35/0.60 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binunionLsub)).
% 2.35/0.60 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binunionRsub)).
% 2.35/0.60 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binintersectI)).
% 2.35/0.60 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binintersectSubset5)).
% 2.35/0.60 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binintersectEL)).
% 2.35/0.60 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binintersectLsub)).
% 2.35/0.60 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binintersectSubset2)).
% 2.35/0.60 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binintersectSubset3)).
% 2.35/0.60 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binintersectER)).
% 2.35/0.60 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', disjointsetsI1)).
% 2.35/0.60 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binintersectRsub)).
% 2.35/0.60 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binintersectSubset4)).
% 2.35/0.60 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', binintersectSubset1)).
% 2.35/0.60 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', bs114d)).
% 2.35/0.60 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setminusI)).
% 2.35/0.60 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setminusEL)).
% 2.35/0.60 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setminusER)).
% 2.35/0.60 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setminusSubset2)).
% 2.35/0.60 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setminusERneg)).
% 2.35/0.60 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setminusELneg)).
% 2.35/0.60 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setminusILneg)).
% 2.35/0.60 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setminusIRneg)).
% 2.35/0.60 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setminusLsub)).
% 2.35/0.60 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', setminusSubset1)).
% 2.35/0.60 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', symdiffE)).
% 2.35/0.60 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', symdiffI1)).
% 2.35/0.60 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', symdiffI2)).
% 2.35/0.60 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', symdiffIneg1)).
% 2.35/0.60 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', symdiffIneg2)).
% 2.35/0.60 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Yeip7uqZvf/E---3.1_3198953.p', secondinupair)).
% 2.35/0.60 thf(c_0_136, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 2.35/0.60 thf(c_0_137, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 2.35/0.60 thf(c_0_138, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 2.35/0.60 thf(c_0_139, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 2.35/0.60 thf(c_0_140, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 2.35/0.60 thf(c_0_141, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 2.35/0.60 thf(c_0_142, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 2.35/0.60 thf(c_0_143, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 2.35/0.60 thf(c_0_144, 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])).
% 2.35/0.60 thf(c_0_145, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 2.35/0.60 thf(c_0_146, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 2.35/0.60 thf(c_0_147, 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])).
% 2.35/0.60 thf(c_0_148, 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:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 2.35/0.60 thf(c_0_149, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 2.35/0.60 thf(c_0_150, 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])).
% 2.35/0.60 thf(c_0_151, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>((binintersectSubset2)=>((binintersectSubset3)=>((binintersectER)=>((disjointsetsI1)=>((binintersectRsub)=>((binintersectSubset4)=>((binintersectSubset1)=>((bs114d)=>((setminusI)=>((setminusEL)=>((setminusER)=>((setminusSubset2)=>((setminusERneg)=>((setminusELneg)=>((setminusILneg)=>((setminusIRneg)=>((setminusLsub)=>((setminusSubset1)=>((symdiffE)=>((symdiffI1)=>((symdiffI2)=>((symdiffIneg1)=>((symdiffIneg2)=>((secondinupair)=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[setukpairIL])).
% 2.35/0.60 thf(c_0_152, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X379:$i]:(((((X6 @ X2 @ X379)))&(![X380:$i]:(((((X6 @ X2 @ X380)))=>(((X379)=(X380)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_136, c_0_137])).
% 2.35/0.60 thf(c_0_153, plain, ((descrp)=(![X1:$i > $o]:((((?[X381:$i]:(((((X1 @ X381)))&(![X382:$i]:(((((X1 @ X382)))=>(((X381)=(X382))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_138, c_0_137])).
% 2.35/0.60 thf(c_0_154, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 2.35/0.60 thf(c_0_155, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 2.35/0.60 thf(c_0_156, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 2.35/0.60 thf(c_0_157, plain, ((exuE1)=(![X1:$i > $o]:((((?[X383:$i]:(((((X1 @ X383)))&(![X384:$i]:(((((X1 @ X384)))=>(((X383)=(X384))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_139, c_0_137])).
% 2.35/0.60 thf(c_0_158, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X385:$i]:(((((X1 @ X385)))&(![X386:$i]:(((((X1 @ X386)))=>(((X385)=(X386))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_140, c_0_137])).
% 2.35/0.60 thf(c_0_159, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 2.35/0.60 thf(c_0_160, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_141])).
% 2.35/0.60 thf(c_0_161, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_142, c_0_141])).
% 2.35/0.60 thf(c_0_162, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_141])).
% 2.35/0.60 thf(c_0_163, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 2.35/0.60 thf(c_0_164, plain, ((exuE2)=(![X1:$i > $o]:((((?[X387:$i]:(((((X1 @ X387)))&(![X388:$i]:(((((X1 @ X388)))=>(((X387)=(X388))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_143, c_0_137])).
% 2.35/0.60 thf(c_0_165, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_141])).
% 2.35/0.60 thf(c_0_166, 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])).
% 2.35/0.60 thf(c_0_167, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X389:$i]:(((((X1 @ X389)))&(![X390:$i]:(((((X1 @ X390)))=>(((X389)=(X390)))))))))))))), inference(apply_def,[status(thm)],[c_0_144, c_0_137])).
% 2.35/0.60 thf(c_0_168, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X391:$i]:(((((X1 @ X391)))&(![X392:$i]:(((((X1 @ X392)))=>(((X391)=(X392)))))))))))))))), inference(apply_def,[status(thm)],[c_0_145, c_0_137])).
% 2.35/0.60 thf(c_0_169, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X393:$i]:(((((X1 @ X393)))&(![X394:$i]:(((((X1 @ X394)))=>(((X393)=(X394)))))))))))))), inference(apply_def,[status(thm)],[c_0_146, c_0_137])).
% 2.35/0.60 thf(c_0_170, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X395:$i]:(((((X1 @ X395)))&(![X396:$i]:(((((X1 @ X396)))=>(((X395)=(X396))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_147, c_0_137])).
% 2.35/0.60 thf(c_0_171, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X397:$i]:(((((X1 @ X397)))&(![X398:$i]:(((((X1 @ X398)))=>(((X397)=(X398))))))))))<=>((?[X399:$i]:(((((X17 @ X399)))&(![X400:$i]:(((((X17 @ X400)))=>(((X399)=(X400)))))))))))))))), inference(apply_def,[status(thm)],[c_0_148, c_0_137])).
% 2.35/0.60 thf(c_0_172, plain, ((exuEu)=(![X1:$i > $o]:((((?[X401:$i]:(((((X1 @ X401)))&(![X402:$i]:(((((X1 @ X402)))=>(((X401)=(X402))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_149, c_0_137])).
% 2.35/0.60 thf(c_0_173, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X403:$i]:(((((X1 @ X403)))&(![X404:$i]:(((((X1 @ X404)))=>(((X403)=(X404))))))))))=>((((?[X405:$i]:(((((X17 @ X405)))&(![X406:$i]:(((((X17 @ X406)))=>(((X405)=(X406))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_150, c_0_137])).
% 2.35/0.60 thf(c_0_174, plain, ((dsetconstr__Cong)<=>![X4:$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:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 2.35/0.60 thf(c_0_175, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 2.35/0.60 thf(c_0_176, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 2.35/0.60 thf(c_0_177, plain, ((epred1_0)<=>![X436:$i]:(?[X437:$i]:((((![X438:$i]:(((in @ X438 @ X437)=>![X439:$i]:(((in @ X439 @ X438)=>(in @ X439 @ X436)))))&![X440:$i, X441:$i]:((((in @ X440 @ X436)&(in @ X441 @ X436))=>(![X442:$i]:(((in @ X442 @ X437)=>((in @ X440 @ X442)<=>(in @ X441 @ X442))))=>((X440)=(X441))))))&![X443:$i, X444:$i]:((((in @ X443 @ X437)&(in @ X444 @ X437))=>(![X445:$i]:(((in @ X445 @ X443)=>(in @ X445 @ X444)))|![X446:$i]:(((in @ X446 @ X444)=>(in @ X446 @ X443)))))))&![X447:$i]:(((![X448:$i]:(((in @ X448 @ X447)=>(in @ X448 @ X436)))&?[X449:$i]:((in @ X449 @ X447)))=>?[X450:$i, X451:$i]:(((((in @ X450 @ X437)&(in @ X451 @ X447))&~(?[X452:$i]:(((in @ X452 @ X450)&(in @ X452 @ X447)))))&![X453:$i]:(((in @ X453 @ X437)=>(![X454:$i]:(((in @ X454 @ X453)=>(in @ X454 @ X450)))|(in @ X451 @ X453)))))))))))), introduced(definition)).
% 2.35/0.60 thf(c_0_178, negated_conjecture, ~((![X407:$i, X408:$i]:((![X409:$i]:(((in @ X409 @ X407)<=>(in @ X409 @ X408)))=>((X407)=(X408))))=>(![X410:$i]:(~(in @ X410 @ emptyset))=>(![X411:$i, X412:$i, X413:$i]:(((in @ X413 @ (setadjoin @ X411 @ X412))<=>(((X413)=(X411))|(in @ X413 @ X412))))=>(![X414:$i, X415:$i]:(((in @ X415 @ (powerset @ X414))<=>![X416:$i]:(((in @ X416 @ X415)=>(in @ X416 @ X414)))))=>(![X417:$i, X418:$i]:(((in @ X418 @ (setunion @ X417))<=>?[X419:$i]:(((in @ X418 @ X419)&(in @ X419 @ X417)))))=>((in @ emptyset @ omega)=>(![X420:$i]:(((in @ X420 @ omega)=>(in @ (setadjoin @ X420 @ X420) @ omega)))=>(![X421:$i]:((((in @ emptyset @ X421)&![X422:$i]:((((in @ X422 @ omega)&(in @ X422 @ X421))=>(in @ (setadjoin @ X422 @ X422) @ X421))))=>![X423:$i]:(((in @ X423 @ omega)=>(in @ X423 @ X421)))))=>(![X424:$i > $i > $o, X425:$i]:((![X426:$i]:(((in @ X426 @ X425)=>?[X427:$i]:(((X424 @ X426 @ X427)&![X428:$i]:(((X424 @ X426 @ X428)=>((X427)=(X428))))))))=>?[X429:$i]:(![X430:$i]:(((in @ X430 @ X429)<=>?[X431:$i]:(((in @ X431 @ X425)&(X424 @ X431 @ X430))))))))=>(![X432:$i]:((?[X433:$i]:((in @ X433 @ X432))=>?[X434:$i]:(((in @ X434 @ X432)&~(?[X435:$i]:(((in @ X435 @ X434)&(in @ X435 @ X432))))))))=>((epred1_0)=>(![X455:$i > $o]:((?[X456:$i]:(((X455 @ X456)&![X457:$i]:(((X455 @ X457)=>((X456)=(X457))))))=>(X455 @ (descr @ (^[Z0:$i]:(X455 @ Z0))))))=>(![X458:$i, X459:$i > $o, X460:$i]:(((in @ X460 @ X458)=>((X459 @ X460)=>(in @ X460 @ (dsetconstr @ X458 @ X459)))))=>(![X461:$i, X462:$i > $o, X463:$i]:(((in @ X463 @ (dsetconstr @ X461 @ X462))=>(in @ X463 @ X461)))=>(![X464:$i, X465:$i > $o, X466:$i]:(((in @ X466 @ (dsetconstr @ X464 @ X465))=>(X465 @ X466)))=>(![X467:$i > $o]:((?[X468:$i]:(((X467 @ X468)&![X469:$i]:(((X467 @ X469)=>((X468)=(X469))))))=>?[X470:$i]:(((X467 @ X470)&![X471:$i]:(((X467 @ X471)=>((X470)=(X471))))))))=>(![X472:$o, X473:$i]:(((in @ X473 @ (prop2set @ ((X472))))=>(X472)))=>(![X474:$i]:(((in @ X474 @ emptyset)=>![X475:$o]:((X475))))=>(![X476:$i]:(((in @ X476 @ emptyset)=>~($true)))=>(![X477:$i]:(~(in @ X477 @ emptyset))=>(![X478:$i > $o]:((?[X479:$i]:(((X478 @ X479)&![X480:$i]:(((X478 @ X480)=>((X479)=(X480))))))=>?[X481:$i]:((X478 @ X481))))=>(![X482:$i, X483:$i]:((![X484:$i]:(((in @ X484 @ X482)=>(in @ X484 @ X483)))=>(![X485:$i]:(((in @ X485 @ X483)=>(in @ X485 @ X482)))=>((X482)=(X483)))))=>(![X486:$i]:((![X487:$i]:(~(in @ X487 @ X486))=>((X486)=(emptyset))))=>(![X488:$i]:((![X489:$i]:(~(in @ X489 @ X488))=>((X488)=(emptyset))))=>(![X490:$i, X491:$i > $o, X492:$i]:(((in @ X492 @ X490)=>((in @ X492 @ (dsetconstr @ X490 @ X491))<=>(X491 @ X492))))=>(![X493:$i]:((((X493)!=(emptyset))=>?[X494:$i]:((in @ X494 @ X493))))=>(![X495:$i, X496:$i > $o, X497:$i]:(((in @ X497 @ X495)=>((X496 @ X497)=>((dsetconstr @ X495 @ X496)!=(emptyset)))))=>(![X498:$i]:((?[X499:$i]:((in @ X499 @ X498))=>((X498)!=(emptyset))))=>(![X500:$i, X501:$i]:((in @ X500 @ (setadjoin @ X500 @ X501)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X502:$i, X503:$i, X504:$i]:(((in @ X504 @ X503)=>(in @ X504 @ (setadjoin @ X502 @ X503))))=>(![X505:$i, X506:$i, X507:$i]:(((in @ X507 @ (setadjoin @ X505 @ X506))=>![X508:$o]:(((((X507)=(X505))=>(X508))=>(((in @ X507 @ X506)=>(X508))=>(X508))))))=>(![X509:$i, X510:$i, X511:$i]:(((in @ X511 @ (setadjoin @ X509 @ X510))=>(((X511)=(X509))|(in @ X511 @ X510))))=>(![X512:$i]:(((dsetconstr @ X512 @ (^[Z0:$i]:($true)))=(X512)))=>(![X513:$i, X514:$i]:((![X515:$i]:(((in @ X515 @ X514)=>(in @ X515 @ X513)))=>(in @ X514 @ (powerset @ X513))))=>(![X516:$i]:((in @ emptyset @ (powerset @ X516)))=>(![X517:$i]:((in @ emptyset @ (powerset @ X517)))=>(![X518:$i, X519:$i, X520:$i]:(((in @ X519 @ (powerset @ X518))=>((in @ X520 @ X519)=>(in @ X520 @ X518))))=>(![X521:$i, X522:$i, X523:$i]:(((in @ X522 @ X523)=>((in @ X523 @ X521)=>(in @ X522 @ (setunion @ X521)))))=>(![X524:$i, X525:$i]:(((in @ X525 @ (setunion @ X524))=>![X526:$o]:((![X527:$i]:(((in @ X525 @ X527)=>((in @ X527 @ X524)=>(X526))))=>(X526)))))=>(![X528:$i, X529:$i]:(((in @ X529 @ X528)=>(in @ X529 @ (powerset @ (setunion @ X528)))))=>(![X530:$i > $o]:((?[X531:$i]:(((X530 @ X531)&![X532:$i]:(((X530 @ X532)=>((X531)=(X532))))))=>?[X533:$i]:(![X534:$i]:(((X530 @ X534)<=>((X534)=(X533)))))))=>(![X535:$i]:((((X535)!=(emptyset))=>?[X536:$i]:(((in @ X536 @ X535)&$true))))=>(![X537:$i, X538:$i]:(((in @ X537 @ (setadjoin @ X538 @ emptyset))=>((X537)=(X538))))=>(![X539:$i, X540:$i]:((((X539)!=(X540))=>~(in @ X540 @ (setadjoin @ X539 @ emptyset))))=>(![X541:$i, X542:$i]:((((X541)=(X542))=>(in @ X541 @ (setadjoin @ X542 @ emptyset))))=>(![X543:$i, X544:$i]:(((in @ X543 @ (setadjoin @ X544 @ emptyset))=>(in @ X544 @ (setadjoin @ X543 @ emptyset))))=>(![X545:$i, X546:$i, X547:$i]:(((in @ X547 @ (setadjoin @ X545 @ (setadjoin @ X546 @ emptyset)))=>(((X547)=(X545))|((X547)=(X546)))))=>(![X548:$i, X549:$i]:((in @ X548 @ (setadjoin @ X548 @ (setadjoin @ X549 @ emptyset))))=>(![X550:$i, X551:$i]:((in @ X551 @ (setadjoin @ X550 @ (setadjoin @ X551 @ emptyset))))=>(![X552:$i, X553:$i > $o]:((?[X554:$i]:(((in @ X554 @ X552)&(X553 @ X554)))=>(((dsetconstr @ X552 @ X553)=(emptyset))=>~($true))))=>(![X555:$i > $o, X556:$i]:(((in @ X556 @ emptyset)=>(X555 @ X556)))=>(![X557:$i, X558:$i > $o]:((~(![X559:$i]:(((in @ X559 @ X557)=>(X558 @ X559))))=>?[X560:$i]:(((in @ X560 @ X557)&~((X558 @ X560))))))=>(![X561:$i, X562:$i > $o]:((![X563:$i]:(((in @ X563 @ X561)=>~((X562 @ X563))))=>~(?[X564:$i]:(((in @ X564 @ X561)&(X562 @ X564))))))=>(![X565:$i, X566:$i > $o]:((~(?[X567:$i]:(((in @ X567 @ X565)&(X566 @ X567))))=>![X568:$i]:(((in @ X568 @ X565)=>~((X566 @ X568))))))=>(![X569:$i, X570:$i > $o]:((?[X571:$i]:(((in @ X571 @ X569)&~((X570 @ X571))))=>~(![X572:$i]:(((in @ X572 @ X569)=>(X570 @ X572))))))=>(![X573:$o]:(((X573)=>(in @ emptyset @ (prop2set @ ((X573))))))=>(![X574:$o]:(((X574)=>(set2prop @ (prop2set @ ((X574))))))=>(![X575:$i, X576:$i > $o]:((~(?[X577:$i]:(((in @ X577 @ X575)&(X576 @ X577))))=>![X578:$i]:(((in @ X578 @ X575)=>~((X576 @ X578))))))=>(![X579:$i, X580:$i > $o]:((~(![X581:$i]:(((in @ X581 @ X579)=>(X580 @ X581))))=>?[X582:$i]:(((in @ X582 @ X579)&~((X580 @ X582))))))=>(![X583:$i > $o]:((?[X584:$i]:(((X583 @ X584)&![X585:$i]:(((X583 @ X585)=>((X584)=(X585))))))=>?[X586:$i]:(((X583 @ X586)&![X587:$i]:(((X583 @ X587)=>((X586)=(X587))))))))=>(![X588:$i > $o]:((?[X589:$i]:((X588 @ X589))=>(![X590:$i, X591:$i]:(((X588 @ X590)=>((X588 @ X591)=>((X590)=(X591)))))=>?[X592:$i]:(((X588 @ X592)&![X593:$i]:(((X588 @ X593)=>((X592)=(X593)))))))))=>(![X594:$i > $o]:((?[X595:$i]:(![X596:$i]:(((X594 @ X596)<=>((X596)=(X595)))))=>?[X597:$i]:(((X594 @ X597)&![X598:$i]:(((X594 @ X598)=>((X597)=(X598))))))))=>(![X599:$i, X600:$i]:((((X599)=(X600))=>![X601:$i, X602:$i]:((((X601)=(X602))=>((in @ X601 @ X599)=>(in @ X602 @ X600))))))=>(![X603:$i, X604:$i]:((((X603)=(X604))=>![X605:$i, X606:$i]:((((X605)=(X606))=>((in @ X605 @ X603)<=>(in @ X606 @ X604))))))=>(![X607:$i > $o]:((?[X608:$i]:(((X607 @ X608)&![X609:$i]:(((X607 @ X609)=>((X608)=(X609))))))=>![X610:$i, X611:$i]:(((X607 @ X610)=>((X607 @ X611)=>((X610)=(X611)))))))=>(![X612:$i > $o, X613:$i > $o]:((![X614:$i, X615:$i]:((((X614)=(X615))=>((X612 @ X614)<=>(X613 @ X615))))=>(?[X616:$i]:(((X612 @ X616)&![X617:$i]:(((X612 @ X617)=>((X616)=(X617))))))<=>?[X618:$i]:(((X613 @ X618)&![X619:$i]:(((X613 @ X619)=>((X618)=(X619)))))))))=>(((emptyset)=(emptyset))=>(![X620:$i, X621:$i]:((((X620)=(X621))=>![X622:$i, X623:$i]:((((X622)=(X623))=>((setadjoin @ X620 @ X622)=(setadjoin @ X621 @ X623))))))=>(![X624:$i, X625:$i]:((((X624)=(X625))=>((powerset @ X624)=(powerset @ X625))))=>(![X626:$i, X627:$i]:((((X626)=(X627))=>((setunion @ X626)=(setunion @ X627))))=>(((omega)=(omega))=>(![X628:$i > $o]:((?[X629:$i]:(((X628 @ X629)&![X630:$i]:(((X628 @ X630)=>((X629)=(X630))))))=>![X631:$i, X632:$i]:(((X628 @ X631)=>((X628 @ X632)=>((X631)=(X632)))))))=>(![X633:$i > $o, X634:$i > $o]:((![X635:$i, X636:$i]:((((X635)=(X636))=>((X633 @ X635)<=>(X634 @ X636))))=>(?[X637:$i]:(((X633 @ X637)&![X638:$i]:(((X633 @ X638)=>((X637)=(X638))))))=>(?[X639:$i]:(((X634 @ X639)&![X640:$i]:(((X634 @ X640)=>((X639)=(X640))))))=>((descr @ X633)=(descr @ X634))))))=>(![X641:$i, X642:$i]:((((X641)=(X642))=>![X643:$i > $o, X644:$i > $o]:((![X645:$i]:(((in @ X645 @ X641)=>![X646:$i]:(((in @ X646 @ X642)=>(((X645)=(X646))=>((X643 @ X645)<=>(X644 @ X646)))))))=>((dsetconstr @ X641 @ X643)=(dsetconstr @ X642 @ X644))))))=>(![X647:$i, X648:$i]:((![X649:$i]:(((in @ X649 @ X647)=>(in @ X649 @ X648)))=>(subset @ X647 @ X648)))=>(![X650:$i, X651:$i]:((((X650)=(X651))=>(subset @ X651 @ X650)))=>(![X652:$i, X653:$i]:((((X652)=(X653))=>(subset @ X652 @ X653)))=>(![X654:$i, X655:$i]:((![X656:$i]:(((in @ X656 @ X654)=>(in @ X656 @ X655)))=>(subset @ X654 @ X655)))=>(![X657:$i]:((subset @ emptyset @ X657))=>(![X658:$i, X659:$i, X660:$i]:(((subset @ X658 @ X659)=>((in @ X660 @ X658)=>(in @ X660 @ X659))))=>(![X661:$i, X662:$i, X663:$i]:(((subset @ X661 @ X662)=>(~(in @ X663 @ X662)=>~(in @ X663 @ X661))))=>(![X664:$i, X665:$i, X666:$i]:(((in @ X666 @ X664)=>(~(in @ X666 @ X665)=>~(subset @ X664 @ X665))))=>(![X667:$i, X668:$i]:((~(subset @ X667 @ X668)=>((X667)!=(X668))))=>(![X669:$i, X670:$i, X671:$i]:(((in @ X671 @ X669)=>(~(in @ X671 @ X670)=>((X669)!=(X670)))))=>(![X672:$i]:((subset @ X672 @ X672))=>(![X673:$i, X674:$i, X675:$i]:(((subset @ X673 @ X674)=>((subset @ X674 @ X675)=>(subset @ X673 @ X675))))=>(![X676:$i, X677:$i]:((subset @ X677 @ (setadjoin @ X676 @ X677)))=>(![X678:$i, X679:$i, X680:$i]:(((subset @ X678 @ X680)=>(subset @ X678 @ (setadjoin @ X679 @ X680))))=>(![X681:$i, X682:$i]:(((subset @ X681 @ X682)=>(in @ X681 @ (powerset @ X682))))=>(![X683:$i, X684:$i]:(((subset @ X683 @ X684)=>((subset @ X684 @ X683)=>((X683)=(X684)))))=>(![X685:$i]:(((subset @ X685 @ emptyset)=>((X685)=(emptyset))))=>(![X686:$i, X687:$i]:(((subset @ X687 @ 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X765:$i]:((~(in @ X765 @ X763)=>~(in @ X765 @ (setminus @ X763 @ X764))))=>(![X766:$i, X767:$i, X768:$i]:(((in @ X768 @ X767)=>~(in @ X768 @ (setminus @ X766 @ X767))))=>(![X769:$i, X770:$i]:((subset @ (setminus @ X769 @ X770) @ X769))=>(![X771:$i, X772:$i]:((((setminus @ X771 @ X772)=(emptyset))=>(subset @ X771 @ X772)))=>(![X773:$i, X774:$i, X775:$i]:(((in @ X775 @ (symdiff @ X773 @ X774))=>![X776:$o]:((((in @ X775 @ X773)=>(~(in @ X775 @ X774)=>(X776)))=>((~(in @ X775 @ X773)=>((in @ X775 @ X774)=>(X776)))=>(X776))))))=>(![X777:$i, X778:$i, X779:$i]:(((in @ X779 @ X777)=>(~(in @ X779 @ X778)=>(in @ X779 @ (symdiff @ X777 @ X778)))))=>(![X780:$i, X781:$i, X782:$i]:((~(in @ X782 @ X780)=>((in @ X782 @ X781)=>(in @ X782 @ (symdiff @ X780 @ X781)))))=>(![X783:$i, X784:$i, X785:$i]:(((in @ X785 @ X783)=>((in @ X785 @ X784)=>~(in @ X785 @ (symdiff @ X783 @ X784)))))=>(![X786:$i, X787:$i, X788:$i]:((~(in @ X788 @ X786)=>(~(in @ X788 @ X787)=>~(in @ X788 @ (symdiff @ X786 @ X787)))))=>(![X789:$i, X790:$i]:((in @ X790 @ (setadjoin @ X789 @ (setadjoin @ X790 @ emptyset))))=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_151, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_152]), foundationAx]), wellorderingAx]), c_0_153]), c_0_154]), c_0_155]), c_0_156]), c_0_157]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_158]), setext]), emptyI]), noeltsimpempty]), c_0_159]), c_0_160]), c_0_161]), c_0_162]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_163]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_164]), c_0_165]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_166]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_167]), c_0_168]), c_0_169]), inCongP]), in__Cong]), c_0_170]), c_0_171]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_172]), c_0_173]), c_0_174]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_175]), c_0_176]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub]), binintersectSubset2]), binintersectSubset3]), binintersectER]), disjointsetsI1]), binintersectRsub]), binintersectSubset4]), binintersectSubset1]), bs114d]), setminusI]), setminusEL]), setminusER]), setminusSubset2]), setminusERneg]), setminusELneg]), setminusILneg]), setminusIRneg]), setminusLsub]), setminusSubset1]), symdiffE]), symdiffI1]), symdiffI2]), symdiffIneg1]), symdiffIneg2]), secondinupair])])]), c_0_177])).
% 2.35/0.60 thf(c_0_179, negated_conjecture, ![X791:$i, X792:$i, X794:$i, X795:$i, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i, X804:$i, X805:$i, X807:$i, X808:$i, X809:$i, X810:$i, X811:$i, X813:$i, X814:$i > $i > $o, X815:$i, X817:$i, X820:$i, X822:$i, X823:$i, X824:$i, X825:$i, X827:$i, X828:$i > $o, X829:$i, X831:$i, X832:$i > $o, X833:$i, X834:$i, X835:$i > $o, X836:$i, X837:$i, X838:$i > $o, X839:$i, X840:$i > $o, X841:$i, X844:$i, X845:$o, X846:$i, X847:$i, X848:$o, X849:$i, X850:$i, X851:$i > $o, X852:$i, X855:$i, X856:$i, X859:$i, X861:$i, X863:$i, X864:$i > $o, X865:$i, X866:$i, X868:$i, X869:$i > $o, X870:$i, X871:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$o, X882:$i, X883:$i, X884:$i, X885:$i, X886:$i, X887:$i, X889:$i, X890:$i, X891:$i, X892:$i, X893:$i, X894:$i, X895:$i, X896:$i, X897:$i, X898:$i, X899:$o, X901:$i, X902:$i, X903:$i > $o, X904:$i, X907:$i, X908:$i, X909:$i, X911:$i, X912:$i, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X924:$i, X925:$i, X926:$i, X927:$i > $o, X928:$i, X929:$i > $o, X930:$i, X931:$i, X932:$i > $o, X933:$i, X935:$i, X936:$i > $o, X938:$i, X939:$i, X940:$i > $o, X942:$i, X943:$i, X944:$i > $o, X945:$i, X947:$o, X948:$o, X949:$i, X950:$i > $o, X952:$i, X953:$i, X954:$i > $o, X955:$i, X957:$i > $o, X958:$i, X961:$i, X962:$i > $o, X963:$i, X967:$i, X968:$i > $o, X969:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i > $o, X982:$i, X984:$i, X985:$i, X986:$i > $o, X987:$i > $o, X990:$i, X993:$i, X994:$i, X997:$i, X998:$i, X999:$i, X1000:$i, X1001:$i, X1002:$i, X1003:$i, X1004:$i, X1005:$i, X1006:$i > $o, X1007:$i, X1009:$i, X1010:$i, X1011:$i > $o, X1012:$i > $o, X1015:$i, X1017:$i, X1019:$i, X1020:$i, X1021:$i > $o, X1022:$i > $o, X1025:$i, X1026:$i, X1028:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i, X1044:$i, X1045:$i, X1046:$i, X1047:$i, X1048:$i, X1049:$i, X1050:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i, X1069:$i, X1070:$i, X1071:$i, X1072:$i > $o, X1073:$i, X1074:$i > $o, X1075:$i, X1076:$i, X1077:$i, X1078:$i, X1079:$i, X1080:$i, X1081:$i, X1082:$i, X1083:$i, X1084:$i, X1085:$i, X1086:$o, X1087:$i, X1088:$i, X1089:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1096:$i, X1097:$i, X1098:$i, X1099:$i, X1100:$i, X1101:$i, X1102:$i, X1103:$i, X1104:$i, X1105:$i, X1106:$i, X1107:$i, X1108:$i, X1109:$i, X1110:$i, X1111:$i, X1112:$i, X1113:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i, X1122:$i, X1123:$i, X1124:$i, X1125:$i, X1126:$i, X1127:$i, X1128:$i, X1129:$i, X1130:$i, X1131:$i, X1132:$i, X1133:$i, X1134:$i, X1135:$i, X1136:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$o, X1155:$i, X1156:$i, X1157:$i, X1158:$i, X1159:$i, X1160:$i, X1161:$i, X1162:$i, X1163:$i, X1164:$i, X1165:$i, X1166:$i, X1167:$i, X1168:$i]:((((~(in @ (esk1_2 @ X791 @ X792) @ X791)|~(in @ (esk1_2 @ X791 @ X792) @ X792)|((X791)=(X792)))&((in @ (esk1_2 @ X791 @ X792) @ X791)|(in @ (esk1_2 @ X791 @ X792) @ X792)|((X791)=(X792))))&(~(in @ X794 @ emptyset)&(((~(in @ X797 @ (setadjoin @ X795 @ X796))|(((X797)=(X795))|(in @ X797 @ X796)))&((((X797)!=(X795))|(in @ X797 @ (setadjoin @ X795 @ X796)))&(~(in @ X797 @ X796)|(in @ X797 @ (setadjoin @ X795 @ X796)))))&(((~(in @ X799 @ (powerset @ X798))|(~(in @ X800 @ X799)|(in @ X800 @ X798)))&(((in @ (esk2_2 @ X801 @ X802) @ X802)|(in @ X802 @ (powerset @ X801)))&(~(in @ (esk2_2 @ X801 @ X802) @ X801)|(in @ X802 @ (powerset @ X801)))))&(((((in @ X805 @ (esk3_2 @ X804 @ X805))|~(in @ X805 @ (setunion @ X804)))&((in @ (esk3_2 @ X804 @ X805) @ X804)|~(in @ X805 @ (setunion @ X804))))&(~(in @ X808 @ X809)|~(in @ X809 @ X807)|(in @ X808 @ (setunion @ X807))))&((in @ emptyset @ omega)&((~(in @ X810 @ omega)|(in @ (setadjoin @ X810 @ X810) @ omega))&(((((in @ (esk4_1 @ X811) @ omega)|~(in @ emptyset @ X811)|(~(in @ X813 @ omega)|(in @ X813 @ X811)))&((in @ (esk4_1 @ X811) @ X811)|~(in @ emptyset @ X811)|(~(in @ X813 @ omega)|(in @ X813 @ X811))))&(~(in @ (setadjoin @ (esk4_1 @ X811) @ (esk4_1 @ X811)) @ X811)|~(in @ emptyset @ X811)|(~(in @ X813 @ omega)|(in @ X813 @ X811))))&((((((in @ (esk8_3 @ X814 @ X815 @ X820) @ X815)|~(in @ X820 @ (esk7_2 @ X814 @ X815))|(in @ (esk5_2 @ X814 @ X815) @ X815))&((X814 @ (esk8_3 @ X814 @ X815 @ X820) @ X820)|~(in @ X820 @ (esk7_2 @ X814 @ X815))|(in @ (esk5_2 @ X814 @ X815) @ X815)))&(~(in @ X823 @ X815)|~(X814 @ X823 @ X822)|(in @ X822 @ (esk7_2 @ X814 @ X815))|(in @ (esk5_2 @ X814 @ X815) @ X815)))&(((((in @ (esk8_3 @ X814 @ X815 @ X820) @ X815)|~(in @ X820 @ (esk7_2 @ X814 @ X815))|((X814 @ (esk5_2 @ X814 @ X815) @ (esk6_3 @ X814 @ X815 @ X817))|~(X814 @ (esk5_2 @ X814 @ X815) @ X817)))&((X814 @ (esk8_3 @ X814 @ X815 @ X820) @ X820)|~(in @ X820 @ (esk7_2 @ X814 @ X815))|((X814 @ (esk5_2 @ X814 @ X815) @ (esk6_3 @ X814 @ X815 @ X817))|~(X814 @ (esk5_2 @ X814 @ X815) @ X817))))&(~(in @ X823 @ X815)|~(X814 @ X823 @ X822)|(in @ X822 @ (esk7_2 @ X814 @ X815))|((X814 @ (esk5_2 @ X814 @ X815) @ (esk6_3 @ X814 @ X815 @ X817))|~(X814 @ (esk5_2 @ X814 @ X815) @ X817))))&((((in @ (esk8_3 @ X814 @ X815 @ X820) @ X815)|~(in @ X820 @ (esk7_2 @ X814 @ X815))|(((X817)!=(esk6_3 @ X814 @ X815 @ X817))|~(X814 @ (esk5_2 @ X814 @ X815) @ X817)))&((X814 @ (esk8_3 @ X814 @ X815 @ X820) @ X820)|~(in @ X820 @ (esk7_2 @ X814 @ X815))|(((X817)!=(esk6_3 @ X814 @ X815 @ X817))|~(X814 @ (esk5_2 @ X814 @ X815) @ X817))))&(~(in @ X823 @ X815)|~(X814 @ X823 @ X822)|(in @ X822 @ (esk7_2 @ X814 @ X815))|(((X817)!=(esk6_3 @ X814 @ X815 @ X817))|~(X814 @ (esk5_2 @ X814 @ X815) @ X817))))))&((((in @ (esk9_1 @ X824) @ X824)|~(in @ X825 @ X824))&(~(in @ X827 @ (esk9_1 @ X824))|~(in @ X827 @ X824)|~(in @ X825 @ X824)))&((epred1_0)&((((X828 @ (esk10_2 @ X828 @ X829))|~(X828 @ X829)|(X828 @ (descr @ X828)))&(((X829)!=(esk10_2 @ X828 @ X829))|~(X828 @ X829)|(X828 @ (descr @ X828))))&((~(in @ X833 @ X831)|(~(X832 @ X833)|(in @ X833 @ (dsetconstr @ X831 @ X832))))&((~(in @ X836 @ (dsetconstr @ X834 @ X835))|(in @ X836 @ X834))&((~(in @ X839 @ (dsetconstr @ X837 @ X838))|(X838 @ X839))&(((((X840 @ (esk12_1 @ X840))|((X840 @ (esk11_2 @ X840 @ X841))|~(X840 @ X841)))&(~(X840 @ X844)|((esk12_1 @ X840)=(X844))|((X840 @ (esk11_2 @ X840 @ X841))|~(X840 @ X841))))&(((X840 @ (esk12_1 @ X840))|(((X841)!=(esk11_2 @ X840 @ X841))|~(X840 @ X841)))&(~(X840 @ X844)|((esk12_1 @ X840)=(X844))|(((X841)!=(esk11_2 @ X840 @ X841))|~(X840 @ X841)))))&((~(in @ X846 @ (prop2set @ ((X845))))|(X845))&((~(in @ X847 @ emptyset)|(X848))&((~(in @ X849 @ 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X1022))|((X1019)!=(X1020)))&((X1021 @ (esk50_4 @ X1019 @ X1020 @ X1021 @ X1022))|(X1022 @ (esk51_4 @ X1019 @ X1020 @ X1021 @ X1022))|((dsetconstr @ X1019 @ X1021)=(dsetconstr @ X1020 @ X1022))|((X1019)!=(X1020)))))))&((((in @ (esk52_2 @ X1025 @ X1026) @ X1025)|(subset @ X1025 @ X1026))&(~(in @ (esk52_2 @ X1025 @ X1026) @ X1026)|(subset @ X1025 @ X1026)))&((((X1028)!=(X1029))|(subset @ X1029 @ X1028))&((((X1030)!=(X1031))|(subset @ X1030 @ X1031))&((((in @ (esk53_2 @ X1032 @ X1033) @ X1032)|(subset @ X1032 @ X1033))&(~(in @ (esk53_2 @ X1032 @ X1033) @ X1033)|(subset @ X1032 @ X1033)))&((subset @ emptyset @ X1035)&((~(subset @ X1036 @ X1037)|(~(in @ X1038 @ X1036)|(in @ X1038 @ X1037)))&((~(subset @ X1039 @ X1040)|((in @ X1041 @ X1040)|~(in @ X1041 @ X1039)))&((~(in @ X1044 @ X1042)|((in @ X1044 @ X1043)|~(subset @ X1042 @ X1043)))&(((subset @ X1045 @ X1046)|((X1045)!=(X1046)))&((~(in @ X1049 @ X1047)|((in @ X1049 @ X1048)|((X1047)!=(X1048))))&((subset @ X1050 @ X1050)&((~(subset @ X1051 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(binunion @ X1083 @ X1084)))&(~(X1086)|(X1086)|(in @ X1085 @ X1083)|~(in @ X1085 @ (binunion @ X1083 @ X1084))))&(((in @ X1085 @ X1084)|(X1086)|~(X1086)|~(in @ X1085 @ (binunion @ X1083 @ X1084)))&(~(X1086)|(X1086)|~(X1086)|~(in @ X1085 @ (binunion @ X1083 @ X1084)))))&((~(in @ X1089 @ (binunion @ X1087 @ X1088))|((in @ X1089 @ X1087)|(in @ X1089 @ X1088)))&((subset @ X1090 @ (binunion @ X1090 @ X1091))&((subset @ X1093 @ (binunion @ X1092 @ X1093))&((~(in @ X1096 @ X1094)|(~(in @ X1096 @ X1095)|(in @ X1096 @ (binintersect @ X1094 @ X1095))))&((~(subset @ X1099 @ X1097)|(~(subset @ X1099 @ X1098)|(subset @ X1099 @ (binintersect @ X1097 @ X1098))))&((~(in @ X1102 @ (binintersect @ X1100 @ X1101))|(in @ X1102 @ X1100))&((subset @ (binintersect @ X1103 @ X1104) @ X1103)&((~(subset @ X1105 @ X1106)|((binintersect @ X1105 @ X1106)=(X1105)))&((((binintersect @ X1107 @ X1108)!=(X1108))|(subset @ X1108 @ X1107))&((~(in @ X1111 @ (binintersect @ X1109 @ X1110))|(in @ X1111 @ X1110))&((((in @ (esk54_2 @ X1112 @ X1113) @ X1112)|((binintersect @ X1112 @ X1113)=(emptyset)))&((in @ (esk54_2 @ X1112 @ X1113) @ X1113)|((binintersect @ X1112 @ X1113)=(emptyset))))&((subset @ (binintersect @ X1115 @ X1116) @ X1116)&((~(subset @ X1118 @ X1117)|((binintersect @ X1117 @ X1118)=(X1118)))&((((binintersect @ X1119 @ X1120)!=(X1119))|(subset @ X1119 @ X1120))&(((binintersect @ X1121 @ (binunion @ X1122 @ X1123))=(binunion @ (binintersect @ X1121 @ X1122) @ (binintersect @ X1121 @ X1123)))&((~(in @ X1126 @ X1124)|((in @ X1126 @ X1125)|(in @ X1126 @ (setminus @ X1124 @ X1125))))&((~(in @ X1129 @ (setminus @ X1127 @ X1128))|(in @ X1129 @ X1127))&((~(in @ X1132 @ (setminus @ X1130 @ X1131))|~(in @ X1132 @ X1131))&((~(subset @ X1133 @ X1134)|((setminus @ X1133 @ X1134)=(emptyset)))&(((in @ X1137 @ (setminus @ X1135 @ X1136))|(~(in @ X1137 @ X1135)|(in @ X1137 @ X1136)))&(((in @ X1140 @ (setminus @ X1138 @ X1139))|((in @ X1140 @ X1139)|~(in @ X1140 @ X1138)))&(((in @ X1143 @ X1141)|~(in @ X1143 @ (setminus @ X1141 @ X1142)))&((~(in @ X1146 @ X1145)|~(in @ X1146 @ (setminus @ X1144 @ X1145)))&((subset @ (setminus @ X1147 @ X1148) @ X1147)&((((setminus @ X1149 @ X1150)!=(emptyset))|(subset @ X1149 @ X1150))&((((~(in @ X1153 @ X1151)|(X1154)|(in @ X1153 @ X1151)|~(in @ X1153 @ (symdiff @ X1151 @ X1152)))&(((in @ X1153 @ X1152)|(X1154)|(in @ X1153 @ X1151)|~(in @ X1153 @ (symdiff @ X1151 @ X1152)))&(~(X1154)|(X1154)|(in @ X1153 @ X1151)|~(in @ X1153 @ (symdiff @ X1151 @ X1152)))))&(((~(in @ X1153 @ X1151)|(X1154)|~(in @ X1153 @ X1152)|~(in @ X1153 @ (symdiff @ X1151 @ X1152)))&(((in @ X1153 @ X1152)|(X1154)|~(in @ X1153 @ X1152)|~(in @ X1153 @ (symdiff @ X1151 @ X1152)))&(~(X1154)|(X1154)|~(in @ X1153 @ X1152)|~(in @ X1153 @ (symdiff @ X1151 @ X1152)))))&((~(in @ X1153 @ X1151)|(X1154)|~(X1154)|~(in @ X1153 @ (symdiff @ X1151 @ X1152)))&(((in @ X1153 @ X1152)|(X1154)|~(X1154)|~(in @ X1153 @ (symdiff @ X1151 @ X1152)))&(~(X1154)|(X1154)|~(X1154)|~(in @ X1153 @ (symdiff @ X1151 @ X1152)))))))&((~(in @ X1157 @ X1155)|((in @ X1157 @ X1156)|(in @ X1157 @ (symdiff @ X1155 @ X1156))))&(((in @ X1160 @ X1158)|(~(in @ X1160 @ X1159)|(in @ X1160 @ (symdiff @ X1158 @ X1159))))&((~(in @ X1163 @ X1161)|(~(in @ X1163 @ X1162)|~(in @ X1163 @ (symdiff @ X1161 @ X1162))))&(((in @ X1166 @ X1164)|((in @ X1166 @ X1165)|~(in @ X1166 @ (symdiff @ X1164 @ X1165))))&((in @ X1168 @ (setadjoin @ X1167 @ (setadjoin @ X1168 @ emptyset)))&~(in @ esk55_0 @ (setunion @ (setadjoin @ (setadjoin @ esk55_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk55_0 @ (setadjoin @ esk56_0 @ emptyset)) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_178])])])])])])])).
% 2.35/0.60 thf(c_0_180, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((in @ X2 @ (setunion @ X4))|~((in @ X2 @ X3))|~((in @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_179])).
% 2.35/0.60 thf(c_0_181, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_179])).
% 2.35/0.60 thf(c_0_182, negated_conjecture, ~((in @ esk55_0 @ (setunion @ (setadjoin @ (setadjoin @ esk55_0 @ emptyset) @ (setadjoin @ (setadjoin @ esk55_0 @ (setadjoin @ esk56_0 @ emptyset)) @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_179])).
% 2.35/0.60 thf(c_0_183, negated_conjecture, ![X2:$i, X4:$i, X3:$i]:(((in @ X2 @ (setunion @ (setadjoin @ X3 @ X4)))|~((in @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_180, c_0_181])).
% 2.35/0.60 thf(c_0_184, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182, c_0_183]), c_0_181])]), ['proof']).
% 2.35/0.60 % SZS output end CNFRefutation
% 2.35/0.60 % Parsed axioms : 291
% 2.35/0.60 % Removed by relevancy pruning/SinE : 0
% 2.35/0.60 % Initial clauses : 410
% 2.35/0.60 % Removed in clause preprocessing : 178
% 2.35/0.60 % Initial clauses in saturation : 232
% 2.35/0.60 % Processed clauses : 1595
% 2.35/0.60 % ...of these trivial : 10
% 2.35/0.60 % ...subsumed : 1065
% 2.35/0.60 % ...remaining for further processing : 520
% 2.35/0.60 % Other redundant clauses eliminated : 25
% 2.35/0.60 % Clauses deleted for lack of memory : 0
% 2.35/0.60 % Backward-subsumed : 2
% 2.35/0.60 % Backward-rewritten : 6
% 2.35/0.60 % Generated clauses : 16325
% 2.35/0.60 % ...of the previous two non-redundant : 14003
% 2.35/0.60 % ...aggressively subsumed : 0
% 2.35/0.60 % Contextual simplify-reflections : 1
% 2.35/0.60 % Paramodulations : 16298
% 2.35/0.60 % Factorizations : 2
% 2.35/0.60 % NegExts : 0
% 2.35/0.60 % Equation resolutions : 25
% 2.35/0.60 % Disequality decompositions : 0
% 2.35/0.60 % Total rewrite steps : 6591
% 2.35/0.60 % ...of those cached : 6406
% 2.35/0.60 % Propositional unsat checks : 0
% 2.35/0.60 % Propositional check models : 0
% 2.35/0.60 % Propositional check unsatisfiable : 0
% 2.35/0.60 % Propositional clauses : 0
% 2.35/0.60 % Propositional clauses after purity: 0
% 2.35/0.60 % Propositional unsat core size : 0
% 2.35/0.60 % Propositional preprocessing time : 0.000
% 2.35/0.60 % Propositional encoding time : 0.000
% 2.35/0.60 % Propositional solver time : 0.000
% 2.35/0.60 % Success case prop preproc time : 0.000
% 2.35/0.60 % Success case prop encoding time : 0.000
% 2.35/0.60 % Success case prop solver time : 0.000
% 2.35/0.60 % Current number of processed clauses : 500
% 2.35/0.60 % Positive orientable unit clauses : 185
% 2.35/0.60 % Positive unorientable unit clauses: 0
% 2.35/0.60 % Negative unit clauses : 2
% 2.35/0.60 % Non-unit-clauses : 313
% 2.35/0.60 % Current number of unprocessed clauses: 12595
% 2.35/0.60 % ...number of literals in the above : 44333
% 2.35/0.60 % Current number of archived formulas : 0
% 2.35/0.60 % Current number of archived clauses : 8
% 2.35/0.60 % Clause-clause subsumption calls (NU) : 11447
% 2.35/0.60 % Rec. Clause-clause subsumption calls : 5992
% 2.35/0.60 % Non-unit clause-clause subsumptions : 567
% 2.35/0.60 % Unit Clause-clause subsumption calls : 321
% 2.35/0.60 % Rewrite failures with RHS unbound : 0
% 2.35/0.60 % BW rewrite match attempts : 942
% 2.35/0.60 % BW rewrite match successes : 4
% 2.35/0.60 % Condensation attempts : 0
% 2.35/0.60 % Condensation successes : 0
% 2.35/0.60 % Termbank termtop insertions : 333933
% 2.35/0.60 % Search garbage collected termcells : 13116
% 2.35/0.60
% 2.35/0.60 % -------------------------------------------------
% 2.35/0.60 % User time : 0.287 s
% 2.35/0.60 % System time : 0.015 s
% 2.35/0.60 % Total time : 0.302 s
% 2.35/0.60 % Maximum resident set size: 6484 pages
% 2.35/0.60
% 2.35/0.60 % -------------------------------------------------
% 2.35/0.60 % User time : 0.291 s
% 2.35/0.60 % System time : 0.023 s
% 2.35/0.60 % Total time : 0.315 s
% 2.35/0.60 % Maximum resident set size: 5120 pages
% 2.35/0.60 % E exiting
%------------------------------------------------------------------------------