%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU626^1 : 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 : n007.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 08:26:58 AM UTC 2026
% Result : Theorem 1.81s 0.60s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU626^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:56:56 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.27 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.pRHiJIsqsL/E---3.1_3408122.p
% 1.81/0.60 % Version: 3.5.1-ho
% 1.81/0.60 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.81/0.60 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.81/0.60 % Starting ehoh_best5 with 300s (1) cores
% 1.81/0.60 % Starting almost_fo_3_lam with 300s (1) cores
% 1.81/0.60 % Starting new_bool_5 with 300s (1) cores
% 1.81/0.60 % Starting pre_casc_3 with 300s (1) cores
% 1.81/0.60 % Starting ho_unfolding_8 with 300s (1) cores
% 1.81/0.60 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.81/0.60 % Starting new_bool_3 with 300s (1) cores
% 1.81/0.60 % Starting new_ho_5 with 300s (1) cores
% 1.81/0.60 % new_ho_5 with pid 3408165 completed with status 9
% 1.81/0.60 % pre_casc_3 with pid 3408160 completed with status 9
% 1.81/0.60 % new_ho_10_cnf2 with pid 3408162 completed with status 0
% 1.81/0.60 % Result found by new_ho_10_cnf2
% 1.81/0.60 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.81/0.60 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.81/0.60 % Starting ehoh_best5 with 300s (1) cores
% 1.81/0.60 % Starting almost_fo_3_lam with 300s (1) cores
% 1.81/0.60 % Starting new_bool_5 with 300s (1) cores
% 1.81/0.60 % Starting pre_casc_3 with 300s (1) cores
% 1.81/0.60 % Starting ho_unfolding_8 with 300s (1) cores
% 1.81/0.60 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.81/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.81/0.60 % No SInE strategy applied
% 1.81/0.60 % Search class: HGHSM-FSLM31-MHFMMSBN
% 1.81/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.81/0.60 % Starting SubtermCWHack with 31s (1) cores
% 1.81/0.60 % SubtermCWHack with pid 3408185 completed with status 0
% 1.81/0.60 % Result found by SubtermCWHack
% 1.81/0.60 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.81/0.60 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.81/0.60 % Starting ehoh_best5 with 300s (1) cores
% 1.81/0.60 % Starting almost_fo_3_lam with 300s (1) cores
% 1.81/0.60 % Starting new_bool_5 with 300s (1) cores
% 1.81/0.60 % Starting pre_casc_3 with 300s (1) cores
% 1.81/0.60 % Starting ho_unfolding_8 with 300s (1) cores
% 1.81/0.60 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.81/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.81/0.60 % No SInE strategy applied
% 1.81/0.60 % Search class: HGHSM-FSLM31-MHFMMSBN
% 1.81/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.81/0.60 % Starting SubtermCWHack with 31s (1) cores
% 1.81/0.60 % Preprocessing time : 0.003 s
% 1.81/0.60
% 1.81/0.60 % Proof found!
% 1.81/0.60 % SZS status Theorem
% 1.81/0.60 % SZS output start CNFRefutation
% 1.81/0.60 thf(decl_23, type, in: $i > $i > $o).
% 1.81/0.60 thf(decl_24, type, exu: ($i > $o) > $o).
% 1.81/0.60 thf(decl_25, type, setextAx: $o).
% 1.81/0.60 thf(decl_26, type, emptyset: $i).
% 1.81/0.60 thf(decl_27, type, emptysetAx: $o).
% 1.81/0.60 thf(decl_28, type, setadjoin: $i > $i > $i).
% 1.81/0.60 thf(decl_29, type, setadjoinAx: $o).
% 1.81/0.60 thf(decl_30, type, powerset: $i > $i).
% 1.81/0.60 thf(decl_31, type, powersetAx: $o).
% 1.81/0.60 thf(decl_32, type, setunion: $i > $i).
% 1.81/0.60 thf(decl_33, type, setunionAx: $o).
% 1.81/0.60 thf(decl_34, type, omega: $i).
% 1.81/0.60 thf(decl_35, type, omega0Ax: $o).
% 1.81/0.60 thf(decl_36, type, omegaSAx: $o).
% 1.81/0.60 thf(decl_37, type, omegaIndAx: $o).
% 1.81/0.60 thf(decl_38, type, replAx: $o).
% 1.81/0.60 thf(decl_39, type, foundationAx: $o).
% 1.81/0.60 thf(decl_40, type, wellorderingAx: $o).
% 1.81/0.60 thf(decl_41, type, descr: ($i > $o) > $i).
% 1.81/0.60 thf(decl_42, type, descrp: $o).
% 1.81/0.60 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 1.81/0.60 thf(decl_44, type, dsetconstrI: $o).
% 1.81/0.60 thf(decl_45, type, dsetconstrEL: $o).
% 1.81/0.60 thf(decl_46, type, dsetconstrER: $o).
% 1.81/0.60 thf(decl_47, type, exuE1: $o).
% 1.81/0.60 thf(decl_48, type, prop2set: $o > $i).
% 1.81/0.60 thf(decl_49, type, prop2setE: $o).
% 1.81/0.60 thf(decl_50, type, emptysetE: $o).
% 1.81/0.60 thf(decl_51, type, emptysetimpfalse: $o).
% 1.81/0.60 thf(decl_52, type, notinemptyset: $o).
% 1.81/0.60 thf(decl_53, type, exuE3e: $o).
% 1.81/0.60 thf(decl_54, type, setext: $o).
% 1.81/0.60 thf(decl_55, type, emptyI: $o).
% 1.81/0.60 thf(decl_56, type, noeltsimpempty: $o).
% 1.81/0.60 thf(decl_57, type, setbeta: $o).
% 1.81/0.60 thf(decl_58, type, nonempty: $i > $o).
% 1.81/0.60 thf(decl_59, type, nonemptyE1: $o).
% 1.81/0.60 thf(decl_60, type, nonemptyI: $o).
% 1.81/0.60 thf(decl_61, type, nonemptyI1: $o).
% 1.81/0.60 thf(decl_62, type, setadjoinIL: $o).
% 1.81/0.60 thf(decl_63, type, emptyinunitempty: $o).
% 1.81/0.60 thf(decl_64, type, setadjoinIR: $o).
% 1.81/0.60 thf(decl_65, type, setadjoinE: $o).
% 1.81/0.60 thf(decl_66, type, setadjoinOr: $o).
% 1.81/0.60 thf(decl_67, type, setoftrueEq: $o).
% 1.81/0.60 thf(decl_68, type, powersetI: $o).
% 1.81/0.60 thf(decl_69, type, emptyinPowerset: $o).
% 1.81/0.60 thf(decl_70, type, emptyInPowerset: $o).
% 1.81/0.60 thf(decl_71, type, powersetE: $o).
% 1.81/0.60 thf(decl_72, type, setunionI: $o).
% 1.81/0.60 thf(decl_73, type, setunionE: $o).
% 1.81/0.60 thf(decl_74, type, subPowSU: $o).
% 1.81/0.60 thf(decl_75, type, exuE2: $o).
% 1.81/0.60 thf(decl_76, type, nonemptyImpWitness: $o).
% 1.81/0.60 thf(decl_77, type, uniqinunit: $o).
% 1.81/0.60 thf(decl_78, type, notinsingleton: $o).
% 1.81/0.60 thf(decl_79, type, eqinunit: $o).
% 1.81/0.60 thf(decl_80, type, singletonsswitch: $o).
% 1.81/0.60 thf(decl_81, type, upairsetE: $o).
% 1.81/0.60 thf(decl_82, type, upairsetIL: $o).
% 1.81/0.60 thf(decl_83, type, upairsetIR: $o).
% 1.81/0.60 thf(decl_84, type, emptyE1: $o).
% 1.81/0.60 thf(decl_85, type, vacuousDall: $o).
% 1.81/0.60 thf(decl_86, type, quantDeMorgan1: $o).
% 1.81/0.60 thf(decl_87, type, quantDeMorgan2: $o).
% 1.81/0.60 thf(decl_88, type, quantDeMorgan3: $o).
% 1.81/0.60 thf(decl_89, type, quantDeMorgan4: $o).
% 1.81/0.60 thf(decl_90, type, prop2setI: $o).
% 1.81/0.60 thf(decl_91, type, set2prop: $i > $o).
% 1.81/0.60 thf(decl_92, type, prop2set2propI: $o).
% 1.81/0.60 thf(decl_93, type, notdexE: $o).
% 1.81/0.60 thf(decl_94, type, notdallE: $o).
% 1.81/0.60 thf(decl_95, type, exuI1: $o).
% 1.81/0.60 thf(decl_96, type, exuI3: $o).
% 1.81/0.60 thf(decl_97, type, exuI2: $o).
% 1.81/0.60 thf(decl_98, type, inCongP: $o).
% 1.81/0.60 thf(decl_99, type, in__Cong: $o).
% 1.81/0.60 thf(decl_100, type, exuE3u: $o).
% 1.81/0.60 thf(decl_101, type, exu__Cong: $o).
% 1.81/0.60 thf(decl_102, type, emptyset__Cong: $o).
% 1.81/0.60 thf(decl_103, type, setadjoin__Cong: $o).
% 1.81/0.60 thf(decl_104, type, powerset__Cong: $o).
% 1.81/0.60 thf(decl_105, type, setunion__Cong: $o).
% 1.81/0.60 thf(decl_106, type, omega__Cong: $o).
% 1.81/0.60 thf(decl_107, type, exuEu: $o).
% 1.81/0.60 thf(decl_108, type, descr__Cong: $o).
% 1.81/0.60 thf(decl_109, type, dsetconstr__Cong: $o).
% 1.81/0.60 thf(decl_110, type, subset: $i > $i > $o).
% 1.81/0.60 thf(decl_113, type, subsetI1: $o).
% 1.81/0.60 thf(decl_114, type, eqimpsubset2: $o).
% 1.81/0.60 thf(decl_115, type, eqimpsubset1: $o).
% 1.81/0.60 thf(decl_116, type, subsetI2: $o).
% 1.81/0.60 thf(decl_117, type, emptysetsubset: $o).
% 1.81/0.60 thf(decl_118, type, subsetE: $o).
% 1.81/0.60 thf(decl_119, type, subsetE2: $o).
% 1.81/0.60 thf(decl_120, type, notsubsetI: $o).
% 1.81/0.60 thf(decl_121, type, notequalI1: $o).
% 1.81/0.60 thf(decl_122, type, notequalI2: $o).
% 1.81/0.60 thf(decl_123, type, subsetRefl: $o).
% 1.81/0.60 thf(decl_124, type, subsetTrans: $o).
% 1.81/0.60 thf(decl_125, type, setadjoinSub: $o).
% 1.81/0.60 thf(decl_126, type, setadjoinSub2: $o).
% 1.81/0.60 thf(decl_127, type, subset2powerset: $o).
% 1.81/0.60 thf(decl_128, type, setextsub: $o).
% 1.81/0.60 thf(decl_129, type, subsetemptysetimpeq: $o).
% 1.81/0.60 thf(decl_130, type, powersetI1: $o).
% 1.81/0.60 thf(decl_131, type, powersetE1: $o).
% 1.81/0.60 thf(decl_132, type, inPowerset: $o).
% 1.81/0.60 thf(decl_133, type, powersetsubset: $o).
% 1.81/0.60 thf(decl_134, type, sepInPowerset: $o).
% 1.81/0.60 thf(decl_135, type, sepSubset: $o).
% 1.81/0.60 thf(decl_136, type, binunion: $i > $i > $i).
% 1.81/0.60 thf(decl_137, type, binunionIL: $o).
% 1.81/0.60 thf(decl_138, type, upairset2IR: $o).
% 1.81/0.60 thf(decl_139, type, binunionIR: $o).
% 1.81/0.60 thf(decl_140, type, binunionEcases: $o).
% 1.81/0.60 thf(decl_141, type, binunionE: $o).
% 1.81/0.60 thf(decl_142, type, binunionLsub: $o).
% 1.81/0.60 thf(decl_143, type, binunionRsub: $o).
% 1.81/0.60 thf(decl_144, type, binintersect: $i > $i > $i).
% 1.81/0.60 thf(decl_145, type, binintersectI: $o).
% 1.81/0.60 thf(decl_146, type, binintersectSubset5: $o).
% 1.81/0.60 thf(decl_147, type, binintersectEL: $o).
% 1.81/0.60 thf(decl_148, type, binintersectLsub: $o).
% 1.81/0.60 thf(decl_149, type, binintersectSubset2: $o).
% 1.81/0.60 thf(decl_150, type, binintersectSubset3: $o).
% 1.81/0.60 thf(decl_151, type, binintersectER: $o).
% 1.81/0.60 thf(decl_152, type, disjointsetsI1: $o).
% 1.81/0.60 thf(decl_153, type, binintersectRsub: $o).
% 1.81/0.60 thf(decl_154, type, binintersectSubset4: $o).
% 1.81/0.60 thf(decl_155, type, binintersectSubset1: $o).
% 1.81/0.60 thf(decl_156, type, bs114d: $o).
% 1.81/0.60 thf(decl_158, type, setminus: $i > $i > $i).
% 1.81/0.60 thf(decl_159, type, setminusI: $o).
% 1.81/0.60 thf(decl_160, type, setminusEL: $o).
% 1.81/0.60 thf(decl_161, type, setminusER: $o).
% 1.81/0.60 thf(decl_162, type, setminusSubset2: $o).
% 1.81/0.60 thf(decl_163, type, setminusERneg: $o).
% 1.81/0.60 thf(decl_164, type, setminusELneg: $o).
% 1.81/0.60 thf(decl_165, type, setminusILneg: $o).
% 1.81/0.60 thf(decl_166, type, setminusIRneg: $o).
% 1.81/0.60 thf(decl_167, type, setminusLsub: $o).
% 1.81/0.60 thf(decl_168, type, setminusSubset1: $o).
% 1.81/0.60 thf(decl_169, type, symdiff: $i > $i > $i).
% 1.81/0.60 thf(decl_170, type, symdiffE: $o).
% 1.81/0.60 thf(decl_171, type, symdiffI1: $o).
% 1.81/0.60 thf(decl_172, type, symdiffI2: $o).
% 1.81/0.60 thf(decl_173, type, symdiffIneg1: $o).
% 1.81/0.60 thf(decl_174, type, symdiffIneg2: $o).
% 1.81/0.60 thf(decl_175, type, iskpair: $i > $o).
% 1.81/0.60 thf(decl_176, type, secondinupair: $o).
% 1.81/0.60 thf(decl_177, type, setukpairIL: $o).
% 1.81/0.60 thf(decl_178, type, setukpairIR: $o).
% 1.81/0.60 thf(decl_179, type, kpairiskpair: $o).
% 1.81/0.60 thf(decl_180, type, kpair: $i > $i > $i).
% 1.81/0.60 thf(decl_181, type, kpairp: $o).
% 1.81/0.60 thf(decl_183, type, singletonsubset: $o).
% 1.81/0.60 thf(decl_184, type, singletoninpowerset: $o).
% 1.81/0.60 thf(decl_185, type, singletoninpowunion: $o).
% 1.81/0.60 thf(decl_186, type, upairset2E: $o).
% 1.81/0.60 thf(decl_187, type, upairsubunion: $o).
% 1.81/0.60 thf(decl_188, type, epred1_0: $o).
% 1.81/0.60 thf(decl_189, type, esk1_2: $i > $i > $i).
% 1.81/0.60 thf(decl_190, type, esk2_2: $i > $i > $i).
% 1.81/0.60 thf(decl_191, type, esk3_2: $i > $i > $i).
% 1.81/0.60 thf(decl_192, type, esk4_1: $i > $i).
% 1.81/0.60 thf(decl_193, type, esk5_2: ($i > $i > $o) > $i > $i).
% 1.81/0.60 thf(decl_194, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 1.81/0.60 thf(decl_195, type, esk7_2: ($i > $i > $o) > $i > $i).
% 1.81/0.60 thf(decl_196, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 1.81/0.60 thf(decl_197, type, esk9_1: $i > $i).
% 1.81/0.60 thf(decl_198, type, esk10_2: ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_199, type, esk11_2: ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_200, type, esk12_1: ($i > $o) > $i).
% 1.81/0.60 thf(decl_201, type, esk13_2: ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_202, type, esk14_1: ($i > $o) > $i).
% 1.81/0.60 thf(decl_203, type, esk15_2: $i > $i > $i).
% 1.81/0.60 thf(decl_204, type, esk16_2: $i > $i > $i).
% 1.81/0.60 thf(decl_205, type, esk17_1: $i > $i).
% 1.81/0.60 thf(decl_206, type, esk18_1: $i > $i).
% 1.81/0.60 thf(decl_207, type, esk19_1: $i > $i).
% 1.81/0.60 thf(decl_208, type, esk20_2: $i > $i > $i).
% 1.81/0.60 thf(decl_209, type, esk21_3: $i > $i > $o > $i).
% 1.81/0.60 thf(decl_210, type, esk22_2: ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_211, type, esk23_1: ($i > $o) > $i).
% 1.81/0.60 thf(decl_212, type, esk24_1: $i > $i).
% 1.81/0.60 thf(decl_213, type, esk25_2: $i > ($i > $o) > $i).
% 1.81/0.60 thf(decl_214, type, esk26_2: $i > ($i > $o) > $i).
% 1.81/0.60 thf(decl_215, type, esk27_2: $i > ($i > $o) > $i).
% 1.81/0.60 thf(decl_216, type, esk28_2: $i > ($i > $o) > $i).
% 1.81/0.60 thf(decl_217, type, esk29_2: $i > ($i > $o) > $i).
% 1.81/0.60 thf(decl_218, type, esk30_2: $i > ($i > $o) > $i).
% 1.81/0.60 thf(decl_219, type, esk31_2: ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_220, type, esk32_1: ($i > $o) > $i).
% 1.81/0.60 thf(decl_221, type, esk33_1: ($i > $o) > $i).
% 1.81/0.60 thf(decl_222, type, esk34_1: ($i > $o) > $i).
% 1.81/0.60 thf(decl_223, type, esk35_1: ($i > $o) > $i).
% 1.81/0.60 thf(decl_224, type, esk36_2: ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_225, type, esk37_1: ($i > $o) > $i).
% 1.81/0.60 thf(decl_226, type, esk38_2: ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_227, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 1.81/0.60 thf(decl_228, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 1.81/0.60 thf(decl_229, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_230, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 1.81/0.60 thf(decl_231, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_232, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 1.81/0.60 thf(decl_233, type, esk45_2: ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_234, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 1.81/0.60 thf(decl_235, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 1.81/0.60 thf(decl_236, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_237, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.81/0.60 thf(decl_238, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.81/0.60 thf(decl_239, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.81/0.60 thf(decl_240, type, esk52_2: $i > $i > $i).
% 1.81/0.60 thf(decl_241, type, esk53_2: $i > $i > $i).
% 1.81/0.60 thf(decl_242, type, esk54_2: $i > $i > $i).
% 1.81/0.60 thf(decl_243, type, esk55_2: $i > $i > $i).
% 1.81/0.60 thf(decl_244, type, esk56_2: $i > $i > $i).
% 1.81/0.60 thf(decl_245, type, esk57_2: $i > $i > $i).
% 1.81/0.60 thf(decl_246, type, esk58_2: $i > $i > $i).
% 1.81/0.60 thf(decl_247, type, esk59_0: $i).
% 1.81/0.60 thf(decl_248, type, esk60_0: $i).
% 1.81/0.60 thf(decl_249, type, esk61_0: $i).
% 1.81/0.60 thf(decl_250, type, esk62_0: $i).
% 1.81/0.60 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', replAx)).
% 1.81/0.60 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', exu)).
% 1.81/0.60 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', descrp)).
% 1.81/0.60 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', exuE1)).
% 1.81/0.60 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', exuE3e)).
% 1.81/0.60 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', nonempty)).
% 1.81/0.60 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', nonemptyI)).
% 1.81/0.60 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', exuE2)).
% 1.81/0.60 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.pRHiJIsqsL/E---3.1_3408122.p', exuI1)).
% 1.81/0.60 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', exuI3)).
% 1.81/0.60 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', exuI2)).
% 1.81/0.60 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.pRHiJIsqsL/E---3.1_3408122.p', exuE3u)).
% 1.81/0.60 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:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', exu__Cong)).
% 1.81/0.60 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', exuEu)).
% 1.81/0.60 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', descr__Cong)).
% 1.81/0.60 thf(iskpair, axiom, ((iskpair)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ X4)))&(?[X3:$i]:((((in @ X3 @ (setunion @ X4)))&(((X4)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', iskpair)).
% 1.81/0.60 thf(upairinpowunion, 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)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', upairinpowunion)).
% 1.81/0.60 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', dsetconstrI)).
% 1.81/0.60 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', dsetconstrEL)).
% 1.81/0.60 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', dsetconstrER)).
% 1.81/0.60 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setbeta)).
% 1.81/0.60 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', nonemptyE1)).
% 1.81/0.60 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', nonemptyI1)).
% 1.81/0.60 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setoftrueEq)).
% 1.81/0.60 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', nonemptyImpWitness)).
% 1.81/0.60 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$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.pRHiJIsqsL/E---3.1_3408122.p', emptyE1)).
% 1.81/0.60 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:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', dsetconstr__Cong)).
% 1.81/0.60 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', sepInPowerset)).
% 1.81/0.60 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', sepSubset)).
% 1.81/0.60 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', kpairiskpair)).
% 1.81/0.60 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', kpairp)).
% 1.81/0.60 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setextAx)).
% 1.81/0.60 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', emptysetAx)).
% 1.81/0.60 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setadjoinAx)).
% 1.81/0.60 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', powersetAx)).
% 1.81/0.60 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setunionAx)).
% 1.81/0.60 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', omega0Ax)).
% 1.81/0.60 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', omegaSAx)).
% 1.81/0.60 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', omegaIndAx)).
% 1.81/0.60 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', foundationAx)).
% 1.81/0.60 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$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.pRHiJIsqsL/E---3.1_3408122.p', wellorderingAx)).
% 1.81/0.60 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', prop2setE)).
% 1.81/0.60 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', emptysetE)).
% 1.81/0.60 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', emptysetimpfalse)).
% 1.81/0.60 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', notinemptyset)).
% 1.81/0.60 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setext)).
% 1.81/0.60 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', emptyI)).
% 1.81/0.60 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', noeltsimpempty)).
% 1.81/0.60 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setadjoinIL)).
% 1.81/0.60 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', emptyinunitempty)).
% 1.81/0.60 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setadjoinIR)).
% 1.81/0.60 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.pRHiJIsqsL/E---3.1_3408122.p', setadjoinE)).
% 1.81/0.60 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setadjoinOr)).
% 1.81/0.60 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', powersetI)).
% 1.81/0.60 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', emptyinPowerset)).
% 1.81/0.60 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', emptyInPowerset)).
% 1.81/0.60 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', powersetE)).
% 1.81/0.60 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setunionI)).
% 1.81/0.60 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.pRHiJIsqsL/E---3.1_3408122.p', setunionE)).
% 1.81/0.60 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', subPowSU)).
% 1.81/0.60 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', uniqinunit)).
% 1.81/0.60 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', notinsingleton)).
% 1.81/0.60 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', eqinunit)).
% 1.81/0.60 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', singletonsswitch)).
% 1.81/0.60 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', upairsetE)).
% 1.81/0.60 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', upairsetIL)).
% 1.81/0.60 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', upairsetIR)).
% 1.81/0.60 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', vacuousDall)).
% 1.81/0.60 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', quantDeMorgan1)).
% 1.81/0.60 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', quantDeMorgan2)).
% 1.81/0.60 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', quantDeMorgan3)).
% 1.81/0.60 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', quantDeMorgan4)).
% 1.81/0.60 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', prop2setI)).
% 1.81/0.60 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', prop2set2propI)).
% 1.81/0.60 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', notdexE)).
% 1.81/0.60 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', notdallE)).
% 1.81/0.60 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', inCongP)).
% 1.81/0.60 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', in__Cong)).
% 1.81/0.60 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', emptyset__Cong)).
% 1.81/0.60 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setadjoin__Cong)).
% 1.81/0.60 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', powerset__Cong)).
% 1.81/0.60 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setunion__Cong)).
% 1.81/0.60 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', omega__Cong)).
% 1.81/0.60 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', subsetI1)).
% 1.81/0.60 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', eqimpsubset2)).
% 1.81/0.60 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', eqimpsubset1)).
% 1.81/0.60 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', subsetI2)).
% 1.81/0.60 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', emptysetsubset)).
% 1.81/0.60 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', subsetE)).
% 1.81/0.60 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', subsetE2)).
% 1.81/0.60 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', notsubsetI)).
% 1.81/0.60 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', notequalI1)).
% 1.81/0.60 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', notequalI2)).
% 1.81/0.60 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', subsetRefl)).
% 1.81/0.60 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', subsetTrans)).
% 1.81/0.60 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setadjoinSub)).
% 1.81/0.60 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setadjoinSub2)).
% 1.81/0.60 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', subset2powerset)).
% 1.81/0.60 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setextsub)).
% 1.81/0.60 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', subsetemptysetimpeq)).
% 1.81/0.60 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', powersetI1)).
% 1.81/0.60 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', powersetE1)).
% 1.81/0.60 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', inPowerset)).
% 1.81/0.60 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', powersetsubset)).
% 1.81/0.60 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binunionIL)).
% 1.81/0.60 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', upairset2IR)).
% 1.81/0.60 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binunionIR)).
% 1.81/0.60 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binunionEcases)).
% 1.81/0.60 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binunionE)).
% 1.81/0.60 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binunionLsub)).
% 1.81/0.60 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binunionRsub)).
% 1.81/0.60 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binintersectI)).
% 1.81/0.60 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binintersectSubset5)).
% 1.81/0.60 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binintersectEL)).
% 1.81/0.60 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binintersectLsub)).
% 1.81/0.60 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binintersectSubset2)).
% 1.81/0.60 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binintersectSubset3)).
% 1.81/0.60 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binintersectER)).
% 1.81/0.60 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', disjointsetsI1)).
% 1.81/0.60 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binintersectRsub)).
% 1.81/0.60 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binintersectSubset4)).
% 1.81/0.60 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', binintersectSubset1)).
% 1.81/0.60 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', bs114d)).
% 1.81/0.60 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setminusI)).
% 1.81/0.60 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setminusEL)).
% 1.81/0.60 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setminusER)).
% 1.81/0.60 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setminusSubset2)).
% 1.81/0.60 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setminusERneg)).
% 1.81/0.60 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setminusELneg)).
% 1.81/0.60 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setminusILneg)).
% 1.81/0.60 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setminusIRneg)).
% 1.81/0.60 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setminusLsub)).
% 1.81/0.60 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setminusSubset1)).
% 1.81/0.60 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', symdiffE)).
% 1.81/0.60 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', symdiffI1)).
% 1.81/0.60 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', symdiffI2)).
% 1.81/0.60 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', symdiffIneg1)).
% 1.81/0.60 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', symdiffIneg2)).
% 1.81/0.60 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', secondinupair)).
% 1.81/0.60 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setukpairIL)).
% 1.81/0.60 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', setukpairIR)).
% 1.81/0.60 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', singletonsubset)).
% 1.81/0.60 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', singletoninpowerset)).
% 1.81/0.60 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', singletoninpowunion)).
% 1.81/0.60 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', upairset2E)).
% 1.81/0.60 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.pRHiJIsqsL/E---3.1_3408122.p', upairsubunion)).
% 1.81/0.60 thf(c_0_146, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 1.81/0.60 thf(c_0_147, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 1.81/0.60 thf(c_0_148, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 1.81/0.60 thf(c_0_149, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 1.81/0.60 thf(c_0_150, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 1.81/0.60 thf(c_0_151, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 1.81/0.60 thf(c_0_152, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 1.81/0.60 thf(c_0_153, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 1.81/0.60 thf(c_0_154, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 1.81/0.60 thf(c_0_155, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 1.81/0.60 thf(c_0_156, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 1.81/0.60 thf(c_0_157, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 1.81/0.60 thf(c_0_158, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 1.81/0.60 thf(c_0_159, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 1.81/0.60 thf(c_0_160, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 1.81/0.60 thf(c_0_161, plain, ((iskpair)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ (setunion @ Z0)))&(?[X3:$i]:((((in @ X3 @ (setunion @ Z0)))&(((Z0)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))), inference(fof_simplification,[status(thm)],[iskpair])).
% 1.81/0.60 thf(c_0_162, 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)=>((setukpairIL)=>((setukpairIR)=>((kpairiskpair)=>((kpairp)=>((singletonsubset)=>((singletoninpowerset)=>((singletoninpowunion)=>((upairset2E)=>((upairsubunion)=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[upairinpowunion])).
% 1.81/0.60 thf(c_0_163, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X403:$i]:(((((X6 @ X2 @ X403)))&(![X404:$i]:(((((X6 @ X2 @ X404)))=>(((X403)=(X404)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_146, c_0_147])).
% 1.81/0.60 thf(c_0_164, plain, ((descrp)=(![X1:$i > $o]:((((?[X405:$i]:(((((X1 @ X405)))&(![X406:$i]:(((((X1 @ X406)))=>(((X405)=(X406))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_148, c_0_147])).
% 1.81/0.60 thf(c_0_165, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 1.81/0.60 thf(c_0_166, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 1.81/0.60 thf(c_0_167, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 1.81/0.60 thf(c_0_168, plain, ((exuE1)=(![X1:$i > $o]:((((?[X407:$i]:(((((X1 @ X407)))&(![X408:$i]:(((((X1 @ X408)))=>(((X407)=(X408))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_149, c_0_147])).
% 1.81/0.60 thf(c_0_169, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X409:$i]:(((((X1 @ X409)))&(![X410:$i]:(((((X1 @ X410)))=>(((X409)=(X410))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_150, c_0_147])).
% 1.81/0.60 thf(c_0_170, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 1.81/0.60 thf(c_0_171, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_151])).
% 1.81/0.60 thf(c_0_172, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_152, c_0_151])).
% 1.81/0.60 thf(c_0_173, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_151])).
% 1.81/0.60 thf(c_0_174, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 1.81/0.60 thf(c_0_175, plain, ((exuE2)=(![X1:$i > $o]:((((?[X411:$i]:(((((X1 @ X411)))&(![X412:$i]:(((((X1 @ X412)))=>(((X411)=(X412))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_153, c_0_147])).
% 1.81/0.60 thf(c_0_176, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_151])).
% 1.81/0.60 thf(c_0_177, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 1.81/0.60 thf(c_0_178, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X413:$i]:(((((X1 @ X413)))&(![X414:$i]:(((((X1 @ X414)))=>(((X413)=(X414)))))))))))))), inference(apply_def,[status(thm)],[c_0_154, c_0_147])).
% 1.81/0.60 thf(c_0_179, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X415:$i]:(((((X1 @ X415)))&(![X416:$i]:(((((X1 @ X416)))=>(((X415)=(X416)))))))))))))))), inference(apply_def,[status(thm)],[c_0_155, c_0_147])).
% 1.81/0.60 thf(c_0_180, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X417:$i]:(((((X1 @ X417)))&(![X418:$i]:(((((X1 @ X418)))=>(((X417)=(X418)))))))))))))), inference(apply_def,[status(thm)],[c_0_156, c_0_147])).
% 1.81/0.60 thf(c_0_181, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X419:$i]:(((((X1 @ X419)))&(![X420:$i]:(((((X1 @ X420)))=>(((X419)=(X420))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_157, c_0_147])).
% 1.81/0.60 thf(c_0_182, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X421:$i]:(((((X1 @ X421)))&(![X422:$i]:(((((X1 @ X422)))=>(((X421)=(X422))))))))))<=>((?[X423:$i]:(((((X17 @ X423)))&(![X424:$i]:(((((X17 @ X424)))=>(((X423)=(X424)))))))))))))))), inference(apply_def,[status(thm)],[c_0_158, c_0_147])).
% 1.81/0.60 thf(c_0_183, plain, ((exuEu)=(![X1:$i > $o]:((((?[X425:$i]:(((((X1 @ X425)))&(![X426:$i]:(((((X1 @ X426)))=>(((X425)=(X426))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_159, c_0_147])).
% 1.81/0.60 thf(c_0_184, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X427:$i]:(((((X1 @ X427)))&(![X428:$i]:(((((X1 @ X428)))=>(((X427)=(X428))))))))))=>((((?[X429:$i]:(((((X17 @ X429)))&(![X430:$i]:(((((X17 @ X430)))=>(((X429)=(X430))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_160, c_0_147])).
% 1.81/0.60 thf(c_0_185, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 1.81/0.60 thf(c_0_186, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 1.81/0.60 thf(c_0_187, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 1.81/0.60 thf(c_0_188, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X431:$i]:((((in @ X431 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(?[X432:$i]:((((in @ X432 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(((setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X431 @ emptyset) @ (setadjoin @ (setadjoin @ X431 @ (setadjoin @ X432 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_161])).
% 1.81/0.60 thf(c_0_189, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X433:$i]:((((in @ X433 @ (setunion @ (kpair @ X2 @ X3))))&(?[X434:$i]:((((in @ X434 @ (setunion @ (kpair @ X2 @ X3))))&(((kpair @ X2 @ X3)=(setadjoin @ (setadjoin @ X433 @ emptyset) @ (setadjoin @ (setadjoin @ X433 @ (setadjoin @ X434 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairp, c_0_161])).
% 1.81/0.60 thf(c_0_190, plain, ((epred1_0)<=>![X464:$i]:(?[X465:$i]:((((![X466:$i]:(((in @ X466 @ X465)=>![X467:$i]:(((in @ X467 @ X466)=>(in @ X467 @ X464)))))&![X468:$i, X469:$i]:((((in @ X468 @ X464)&(in @ X469 @ X464))=>(![X470:$i]:(((in @ X470 @ X465)=>((in @ X468 @ X470)<=>(in @ X469 @ X470))))=>((X468)=(X469))))))&![X471:$i, X472:$i]:((((in @ X471 @ X465)&(in @ X472 @ X465))=>(![X473:$i]:(((in @ X473 @ X471)=>(in @ X473 @ X472)))|![X474:$i]:(((in @ X474 @ X472)=>(in @ X474 @ X471)))))))&![X475:$i]:(((![X476:$i]:(((in @ X476 @ X475)=>(in @ X476 @ X464)))&?[X477:$i]:((in @ X477 @ X475)))=>?[X478:$i, X479:$i]:(((((in @ X478 @ X465)&(in @ X479 @ X475))&~(?[X480:$i]:(((in @ X480 @ X478)&(in @ X480 @ X475)))))&![X481:$i]:(((in @ X481 @ X465)=>(![X482:$i]:(((in @ X482 @ X481)=>(in @ X482 @ X478)))|(in @ X479 @ X481)))))))))))), introduced(definition)).
% 1.81/0.60 thf(c_0_191, negated_conjecture, ~((![X435:$i, X436:$i]:((![X437:$i]:(((in @ X437 @ X435)<=>(in @ X437 @ X436)))=>((X435)=(X436))))=>(![X438:$i]:(~(in @ X438 @ emptyset))=>(![X439:$i, X440:$i, X441:$i]:(((in @ X441 @ (setadjoin @ X439 @ X440))<=>(((X441)=(X439))|(in @ X441 @ X440))))=>(![X442:$i, X443:$i]:(((in @ X443 @ (powerset @ X442))<=>![X444:$i]:(((in @ X444 @ X443)=>(in @ X444 @ X442)))))=>(![X445:$i, X446:$i]:(((in @ X446 @ (setunion @ X445))<=>?[X447:$i]:(((in @ X446 @ X447)&(in @ X447 @ X445)))))=>((in @ emptyset @ omega)=>(![X448:$i]:(((in @ X448 @ omega)=>(in @ (setadjoin @ X448 @ X448) @ omega)))=>(![X449:$i]:((((in @ emptyset @ X449)&![X450:$i]:((((in @ X450 @ omega)&(in @ X450 @ X449))=>(in @ (setadjoin @ X450 @ X450) @ X449))))=>![X451:$i]:(((in @ X451 @ omega)=>(in @ X451 @ X449)))))=>(![X452:$i > $i > $o, X453:$i]:((![X454:$i]:(((in @ X454 @ X453)=>?[X455:$i]:(((X452 @ X454 @ X455)&![X456:$i]:(((X452 @ X454 @ X456)=>((X455)=(X456))))))))=>?[X457:$i]:(![X458:$i]:(((in @ X458 @ X457)<=>?[X459:$i]:(((in @ X459 @ X453)&(X452 @ X459 @ X458))))))))=>(![X460:$i]:((?[X461:$i]:((in @ X461 @ X460))=>?[X462:$i]:(((in @ X462 @ X460)&~(?[X463:$i]:(((in @ X463 @ X462)&(in @ X463 @ X460))))))))=>((epred1_0)=>(![X483:$i > $o]:((?[X484:$i]:(((X483 @ X484)&![X485:$i]:(((X483 @ X485)=>((X484)=(X485))))))=>(X483 @ (descr @ (^[Z0:$i]:(X483 @ Z0))))))=>(![X486:$i, X487:$i > $o, X488:$i]:(((in @ X488 @ X486)=>((X487 @ X488)=>(in @ X488 @ (dsetconstr @ X486 @ X487)))))=>(![X489:$i, X490:$i > $o, X491:$i]:(((in @ X491 @ (dsetconstr @ X489 @ X490))=>(in @ X491 @ X489)))=>(![X492:$i, X493:$i > $o, X494:$i]:(((in @ X494 @ (dsetconstr @ X492 @ X493))=>(X493 @ X494)))=>(![X495:$i > $o]:((?[X496:$i]:(((X495 @ X496)&![X497:$i]:(((X495 @ X497)=>((X496)=(X497))))))=>?[X498:$i]:(((X495 @ X498)&![X499:$i]:(((X495 @ X499)=>((X498)=(X499))))))))=>(![X500:$o, X501:$i]:(((in @ X501 @ (prop2set @ ((X500))))=>(X500)))=>(![X502:$i]:(((in @ X502 @ emptyset)=>![X503:$o]:((X503))))=>(![X504:$i]:(((in @ X504 @ emptyset)=>~($true)))=>(![X505:$i]:(~(in @ X505 @ emptyset))=>(![X506:$i > $o]:((?[X507:$i]:(((X506 @ X507)&![X508:$i]:(((X506 @ X508)=>((X507)=(X508))))))=>?[X509:$i]:((X506 @ X509))))=>(![X510:$i, X511:$i]:((![X512:$i]:(((in @ X512 @ X510)=>(in @ X512 @ X511)))=>(![X513:$i]:(((in @ X513 @ X511)=>(in @ X513 @ X510)))=>((X510)=(X511)))))=>(![X514:$i]:((![X515:$i]:(~(in @ X515 @ X514))=>((X514)=(emptyset))))=>(![X516:$i]:((![X517:$i]:(~(in @ X517 @ X516))=>((X516)=(emptyset))))=>(![X518:$i, X519:$i > $o, X520:$i]:(((in @ X520 @ X518)=>((in @ X520 @ (dsetconstr @ X518 @ X519))<=>(X519 @ X520))))=>(![X521:$i]:((((X521)!=(emptyset))=>?[X522:$i]:((in @ X522 @ X521))))=>(![X523:$i, X524:$i > $o, X525:$i]:(((in @ X525 @ X523)=>((X524 @ X525)=>((dsetconstr @ X523 @ X524)!=(emptyset)))))=>(![X526:$i]:((?[X527:$i]:((in @ X527 @ X526))=>((X526)!=(emptyset))))=>(![X528:$i, X529:$i]:((in @ X528 @ (setadjoin @ X528 @ X529)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X530:$i, X531:$i, X532:$i]:(((in @ X532 @ X531)=>(in @ X532 @ (setadjoin @ X530 @ X531))))=>(![X533:$i, X534:$i, X535:$i]:(((in @ X535 @ (setadjoin @ X533 @ X534))=>![X536:$o]:(((((X535)=(X533))=>(X536))=>(((in @ X535 @ X534)=>(X536))=>(X536))))))=>(![X537:$i, X538:$i, X539:$i]:(((in @ X539 @ (setadjoin @ X537 @ X538))=>(((X539)=(X537))|(in @ X539 @ X538))))=>(![X540:$i]:(((dsetconstr @ X540 @ (^[Z0:$i]:($true)))=(X540)))=>(![X541:$i, X542:$i]:((![X543:$i]:(((in @ X543 @ X542)=>(in @ X543 @ X541)))=>(in @ X542 @ (powerset @ X541))))=>(![X544:$i]:((in @ emptyset @ (powerset @ X544)))=>(![X545:$i]:((in @ emptyset @ (powerset @ X545)))=>(![X546:$i, X547:$i, X548:$i]:(((in @ X547 @ (powerset @ X546))=>((in @ X548 @ X547)=>(in @ X548 @ X546))))=>(![X549:$i, X550:$i, X551:$i]:(((in @ X550 @ X551)=>((in @ X551 @ X549)=>(in @ X550 @ (setunion @ X549)))))=>(![X552:$i, X553:$i]:(((in @ X553 @ (setunion @ X552))=>![X554:$o]:((![X555:$i]:(((in @ X553 @ X555)=>((in @ X555 @ X552)=>(X554))))=>(X554)))))=>(![X556:$i, X557:$i]:(((in @ X557 @ X556)=>(in @ X557 @ (powerset @ (setunion @ X556)))))=>(![X558:$i > $o]:((?[X559:$i]:(((X558 @ X559)&![X560:$i]:(((X558 @ X560)=>((X559)=(X560))))))=>?[X561:$i]:(![X562:$i]:(((X558 @ X562)<=>((X562)=(X561)))))))=>(![X563:$i]:((((X563)!=(emptyset))=>?[X564:$i]:(((in @ X564 @ X563)&$true))))=>(![X565:$i, X566:$i]:(((in @ X565 @ (setadjoin @ X566 @ emptyset))=>((X565)=(X566))))=>(![X567:$i, X568:$i]:((((X567)!=(X568))=>~(in @ X568 @ (setadjoin @ X567 @ emptyset))))=>(![X569:$i, X570:$i]:((((X569)=(X570))=>(in @ X569 @ (setadjoin @ X570 @ emptyset))))=>(![X571:$i, X572:$i]:(((in @ X571 @ (setadjoin @ X572 @ emptyset))=>(in @ X572 @ (setadjoin @ X571 @ emptyset))))=>(![X573:$i, X574:$i, X575:$i]:(((in @ X575 @ (setadjoin @ X573 @ (setadjoin @ X574 @ emptyset)))=>(((X575)=(X573))|((X575)=(X574)))))=>(![X576:$i, X577:$i]:((in @ X576 @ (setadjoin @ X576 @ (setadjoin @ X577 @ emptyset))))=>(![X578:$i, X579:$i]:((in @ X579 @ (setadjoin @ X578 @ (setadjoin @ X579 @ emptyset))))=>(![X580:$i, X581:$i > $o]:((?[X582:$i]:(((in @ X582 @ X580)&(X581 @ X582)))=>(((dsetconstr @ X580 @ X581)=(emptyset))=>~($true))))=>(![X583:$i > $o, X584:$i]:(((in @ X584 @ emptyset)=>(X583 @ X584)))=>(![X585:$i, X586:$i > $o]:((~(![X587:$i]:(((in @ X587 @ X585)=>(X586 @ X587))))=>?[X588:$i]:(((in @ X588 @ X585)&~((X586 @ X588))))))=>(![X589:$i, X590:$i > $o]:((![X591:$i]:(((in @ X591 @ X589)=>~((X590 @ X591))))=>~(?[X592:$i]:(((in @ X592 @ X589)&(X590 @ X592))))))=>(![X593:$i, X594:$i > $o]:((~(?[X595:$i]:(((in @ X595 @ X593)&(X594 @ X595))))=>![X596:$i]:(((in @ X596 @ X593)=>~((X594 @ X596))))))=>(![X597:$i, X598:$i > $o]:((?[X599:$i]:(((in @ X599 @ X597)&~((X598 @ X599))))=>~(![X600:$i]:(((in @ X600 @ X597)=>(X598 @ X600))))))=>(![X601:$o]:(((X601)=>(in @ emptyset @ (prop2set @ ((X601))))))=>(![X602:$o]:(((X602)=>(set2prop @ (prop2set @ ((X602))))))=>(![X603:$i, X604:$i > $o]:((~(?[X605:$i]:(((in @ X605 @ X603)&(X604 @ X605))))=>![X606:$i]:(((in @ X606 @ X603)=>~((X604 @ X606))))))=>(![X607:$i, X608:$i > $o]:((~(![X609:$i]:(((in @ X609 @ X607)=>(X608 @ X609))))=>?[X610:$i]:(((in @ X610 @ X607)&~((X608 @ X610))))))=>(![X611:$i > $o]:((?[X612:$i]:(((X611 @ X612)&![X613:$i]:(((X611 @ X613)=>((X612)=(X613))))))=>?[X614:$i]:(((X611 @ X614)&![X615:$i]:(((X611 @ X615)=>((X614)=(X615))))))))=>(![X616:$i > $o]:((?[X617:$i]:((X616 @ X617))=>(![X618:$i, X619:$i]:(((X616 @ X618)=>((X616 @ X619)=>((X618)=(X619)))))=>?[X620:$i]:(((X616 @ X620)&![X621:$i]:(((X616 @ X621)=>((X620)=(X621)))))))))=>(![X622:$i > $o]:((?[X623:$i]:(![X624:$i]:(((X622 @ X624)<=>((X624)=(X623)))))=>?[X625:$i]:(((X622 @ X625)&![X626:$i]:(((X622 @ X626)=>((X625)=(X626))))))))=>(![X627:$i, X628:$i]:((((X627)=(X628))=>![X629:$i, X630:$i]:((((X629)=(X630))=>((in @ X629 @ X627)=>(in @ X630 @ X628))))))=>(![X631:$i, X632:$i]:((((X631)=(X632))=>![X633:$i, X634:$i]:((((X633)=(X634))=>((in @ X633 @ X631)<=>(in @ X634 @ X632))))))=>(![X635:$i > $o]:((?[X636:$i]:(((X635 @ X636)&![X637:$i]:(((X635 @ X637)=>((X636)=(X637))))))=>![X638:$i, X639:$i]:(((X635 @ X638)=>((X635 @ X639)=>((X638)=(X639)))))))=>(![X640:$i > $o, X641:$i > $o]:((![X642:$i, X643:$i]:((((X642)=(X643))=>((X640 @ X642)<=>(X641 @ X643))))=>(?[X644:$i]:(((X640 @ X644)&![X645:$i]:(((X640 @ X645)=>((X644)=(X645))))))<=>?[X646:$i]:(((X641 @ X646)&![X647:$i]:(((X641 @ X647)=>((X646)=(X647)))))))))=>(((emptyset)=(emptyset))=>(![X648:$i, X649:$i]:((((X648)=(X649))=>![X650:$i, X651:$i]:((((X650)=(X651))=>((setadjoin @ X648 @ X650)=(setadjoin @ X649 @ X651))))))=>(![X652:$i, X653:$i]:((((X652)=(X653))=>((powerset @ X652)=(powerset @ X653))))=>(![X654:$i, X655:$i]:((((X654)=(X655))=>((setunion @ X654)=(setunion @ X655))))=>(((omega)=(omega))=>(![X656:$i > $o]:((?[X657:$i]:(((X656 @ X657)&![X658:$i]:(((X656 @ X658)=>((X657)=(X658))))))=>![X659:$i, X660:$i]:(((X656 @ X659)=>((X656 @ X660)=>((X659)=(X660)))))))=>(![X661:$i > $o, X662:$i > $o]:((![X663:$i, X664:$i]:((((X663)=(X664))=>((X661 @ X663)<=>(X662 @ X664))))=>(?[X665:$i]:(((X661 @ X665)&![X666:$i]:(((X661 @ X666)=>((X665)=(X666))))))=>(?[X667:$i]:(((X662 @ X667)&![X668:$i]:(((X662 @ X668)=>((X667)=(X668))))))=>((descr @ X661)=(descr @ X662))))))=>(![X669:$i, X670:$i]:((((X669)=(X670))=>![X671:$i > $o, X672:$i > $o]:((![X673:$i]:(((in @ X673 @ X669)=>![X674:$i]:(((in @ X674 @ X670)=>(((X673)=(X674))=>((X671 @ X673)<=>(X672 @ X674)))))))=>((dsetconstr @ X669 @ X671)=(dsetconstr @ X670 @ X672))))))=>(![X675:$i, X676:$i]:((![X677:$i]:(((in @ X677 @ X675)=>(in @ X677 @ X676)))=>(subset @ X675 @ X676)))=>(![X678:$i, X679:$i]:((((X678)=(X679))=>(subset @ X679 @ X678)))=>(![X680:$i, X681:$i]:((((X680)=(X681))=>(subset @ X680 @ X681)))=>(![X682:$i, X683:$i]:((![X684:$i]:(((in @ X684 @ X682)=>(in @ X684 @ X683)))=>(subset @ X682 @ X683)))=>(![X685:$i]:((subset @ emptyset @ X685))=>(![X686:$i, X687:$i, X688:$i]:(((subset @ X686 @ X687)=>((in @ X688 @ X686)=>(in @ X688 @ X687))))=>(![X689:$i, X690:$i, X691:$i]:(((subset @ X689 @ X690)=>(~(in @ X691 @ X690)=>~(in @ X691 @ X689))))=>(![X692:$i, X693:$i, X694:$i]:(((in @ X694 @ X692)=>(~(in @ X694 @ X693)=>~(subset @ X692 @ X693))))=>(![X695:$i, X696:$i]:((~(subset @ X695 @ X696)=>((X695)!=(X696))))=>(![X697:$i, X698:$i, X699:$i]:(((in @ X699 @ X697)=>(~(in @ X699 @ X698)=>((X697)!=(X698)))))=>(![X700:$i]:((subset @ X700 @ X700))=>(![X701:$i, X702:$i, X703:$i]:(((subset @ X701 @ X702)=>((subset @ X702 @ X703)=>(subset @ X701 @ X703))))=>(![X704:$i, X705:$i]:((subset @ X705 @ (setadjoin @ X704 @ X705)))=>(![X706:$i, X707:$i, X708:$i]:(((subset @ X706 @ X708)=>(subset @ X706 @ (setadjoin @ X707 @ X708))))=>(![X709:$i, X710:$i]:(((subset @ X709 @ X710)=>(in @ X709 @ (powerset @ X710))))=>(![X711:$i, X712:$i]:(((subset @ X711 @ X712)=>((subset @ X712 @ X711)=>((X711)=(X712)))))=>(![X713:$i]:(((subset @ X713 @ emptyset)=>((X713)=(emptyset))))=>(![X714:$i, X715:$i]:(((subset @ X715 @ X714)=>(in @ X715 @ (powerset @ X714))))=>(![X716:$i, X717:$i]:(((in @ X717 @ (powerset @ X716))=>(subset @ X717 @ X716)))=>(![X718:$i]:((in @ X718 @ (powerset @ X718)))=>(![X719:$i, X720:$i]:(((subset @ X719 @ X720)=>(subset @ (powerset @ X719) @ (powerset @ X720))))=>(![X721:$i, X722:$i > $o]:((in @ (dsetconstr @ X721 @ X722) @ (powerset @ X721)))=>(![X723:$i, X724:$i > $o]:((subset @ (dsetconstr @ X723 @ X724) @ X723))=>(![X725:$i, X726:$i, X727:$i]:(((in @ X727 @ X725)=>(in @ X727 @ (binunion @ X725 @ X726))))=>(![X728:$i, X729:$i]:((in @ X729 @ (setadjoin @ X728 @ (setadjoin @ X729 @ emptyset))))=>(![X730:$i, X731:$i, X732:$i]:(((in @ X732 @ X731)=>(in @ X732 @ (binunion @ X730 @ X731))))=>(![X733:$i, X734:$i, X735:$i, X736:$o]:(((in @ X735 @ (binunion @ X733 @ X734))=>(((in @ X735 @ X733)=>(X736))=>(((in @ X735 @ X734)=>(X736))=>(X736)))))=>(![X737:$i, X738:$i, X739:$i]:(((in @ X739 @ (binunion @ X737 @ X738))=>((in @ X739 @ X737)|(in @ X739 @ X738))))=>(![X740:$i, X741:$i]:((subset @ X740 @ (binunion @ X740 @ X741)))=>(![X742:$i, X743:$i]:((subset @ X743 @ (binunion @ X742 @ X743)))=>(![X744:$i, X745:$i, X746:$i]:(((in @ X746 @ X744)=>((in @ X746 @ X745)=>(in @ X746 @ (binintersect @ X744 @ X745)))))=>(![X747:$i, X748:$i, X749:$i]:(((subset @ X749 @ X747)=>((subset @ X749 @ X748)=>(subset @ X749 @ (binintersect @ X747 @ X748)))))=>(![X750:$i, X751:$i, X752:$i]:(((in @ X752 @ (binintersect @ X750 @ X751))=>(in @ X752 @ X750)))=>(![X753:$i, X754:$i]:((subset @ (binintersect @ X753 @ X754) @ X753))=>(![X755:$i, X756:$i]:(((subset @ X755 @ X756)=>((binintersect @ X755 @ X756)=(X755))))=>(![X757:$i, X758:$i]:((((binintersect @ X757 @ X758)=(X758))=>(subset @ X758 @ X757)))=>(![X759:$i, X760:$i, X761:$i]:(((in @ X761 @ (binintersect @ X759 @ X760))=>(in @ X761 @ X760)))=>(![X762:$i, X763:$i]:((~(?[X764:$i]:(((in @ X764 @ X762)&(in @ X764 @ X763))))=>((binintersect @ X762 @ X763)=(emptyset))))=>(![X765:$i, X766:$i]:((subset @ (binintersect @ X765 @ X766) @ X766))=>(![X767:$i, X768:$i]:(((subset @ X768 @ X767)=>((binintersect @ X767 @ X768)=(X768))))=>(![X769:$i, X770:$i]:((((binintersect @ X769 @ X770)=(X769))=>(subset @ X769 @ X770)))=>(![X771:$i, X772:$i, X773:$i]:(((binintersect @ X771 @ (binunion @ X772 @ X773))=(binunion @ (binintersect @ X771 @ X772) @ (binintersect @ X771 @ X773))))=>(![X774:$i, X775:$i, X776:$i]:(((in @ X776 @ X774)=>(~(in @ X776 @ X775)=>(in @ X776 @ (setminus @ X774 @ X775)))))=>(![X777:$i, X778:$i, X779:$i]:(((in @ X779 @ (setminus @ X777 @ X778))=>(in @ X779 @ X777)))=>(![X780:$i, X781:$i, X782:$i]:(((in @ X782 @ (setminus @ X780 @ X781))=>~(in @ X782 @ X781)))=>(![X783:$i, X784:$i]:(((subset @ X783 @ X784)=>((setminus @ X783 @ X784)=(emptyset))))=>(![X785:$i, X786:$i, X787:$i]:((~(in @ X787 @ (setminus @ X785 @ X786))=>((in @ X787 @ X785)=>(in @ X787 @ X786))))=>(![X788:$i, X789:$i, X790:$i]:((~(in @ X790 @ (setminus @ X788 @ X789))=>(~(in @ X790 @ X789)=>~(in @ X790 @ X788))))=>(![X791:$i, X792:$i, X793:$i]:((~(in @ X793 @ X791)=>~(in @ X793 @ (setminus @ X791 @ X792))))=>(![X794:$i, X795:$i, X796:$i]:(((in @ X796 @ X795)=>~(in @ X796 @ (setminus @ X794 @ X795))))=>(![X797:$i, X798:$i]:((subset @ (setminus @ X797 @ X798) @ X797))=>(![X799:$i, X800:$i]:((((setminus @ X799 @ X800)=(emptyset))=>(subset @ X799 @ X800)))=>(![X801:$i, X802:$i, X803:$i]:(((in @ X803 @ (symdiff @ X801 @ X802))=>![X804:$o]:((((in @ X803 @ X801)=>(~(in @ X803 @ X802)=>(X804)))=>((~(in @ X803 @ X801)=>((in @ X803 @ X802)=>(X804)))=>(X804))))))=>(![X805:$i, X806:$i, X807:$i]:(((in @ X807 @ X805)=>(~(in @ X807 @ X806)=>(in @ X807 @ (symdiff @ X805 @ X806)))))=>(![X808:$i, X809:$i, X810:$i]:((~(in @ X810 @ X808)=>((in @ X810 @ X809)=>(in @ X810 @ (symdiff @ X808 @ X809)))))=>(![X811:$i, X812:$i, X813:$i]:(((in @ X813 @ X811)=>((in @ X813 @ X812)=>~(in @ X813 @ (symdiff @ X811 @ X812)))))=>(![X814:$i, X815:$i, X816:$i]:((~(in @ X816 @ X814)=>(~(in @ X816 @ X815)=>~(in @ X816 @ (symdiff @ X814 @ X815)))))=>(![X817:$i, X818:$i]:((in @ X818 @ (setadjoin @ X817 @ (setadjoin @ X818 @ emptyset))))=>(![X819:$i, X820:$i]:((in @ X819 @ (setunion @ (setadjoin @ (setadjoin @ X819 @ emptyset) @ (setadjoin @ (setadjoin @ X819 @ (setadjoin @ X820 @ emptyset)) @ emptyset)))))=>(![X821:$i, X822:$i]:((in @ X822 @ (setunion @ (setadjoin @ (setadjoin @ X821 @ emptyset) @ (setadjoin @ (setadjoin @ X821 @ (setadjoin @ X822 @ emptyset)) @ emptyset)))))=>(![X823:$i, X824:$i]:(?[X825:$i]:(((in @ X825 @ (setunion @ (setadjoin @ (setadjoin @ X823 @ emptyset) @ (setadjoin @ (setadjoin @ X823 @ (setadjoin @ X824 @ emptyset)) @ emptyset))))&?[X826:$i]:(((in @ X826 @ (setunion @ (setadjoin @ (setadjoin @ X823 @ emptyset) @ (setadjoin @ (setadjoin @ X823 @ (setadjoin @ X824 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X823 @ emptyset) @ (setadjoin @ (setadjoin @ X823 @ (setadjoin @ X824 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ X825 @ emptyset) @ (setadjoin @ (setadjoin @ X825 @ (setadjoin @ X826 @ emptyset)) @ emptyset))))))))=>(![X827:$i, X828:$i]:(?[X829:$i]:(((in @ X829 @ (setunion @ (kpair @ X827 @ X828)))&?[X830:$i]:(((in @ X830 @ (setunion @ (kpair @ X827 @ X828)))&((kpair @ X827 @ X828)=(setadjoin @ (setadjoin @ X829 @ emptyset) @ (setadjoin @ (setadjoin @ X829 @ (setadjoin @ X830 @ emptyset)) @ emptyset))))))))=>(![X831:$i, X832:$i]:(((in @ X832 @ X831)=>(subset @ (setadjoin @ X832 @ emptyset) @ X831)))=>(![X833:$i, X834:$i]:(((in @ X834 @ X833)=>(in @ (setadjoin @ X834 @ emptyset) @ (powerset @ X833))))=>(![X835:$i, X836:$i, X837:$i]:(((in @ X837 @ X835)=>(in @ (setadjoin @ X837 @ emptyset) @ (powerset @ (binunion @ X835 @ X836)))))=>(![X838:$i, X839:$i, X840:$i]:(((in @ X840 @ (setadjoin @ X838 @ (setadjoin @ X839 @ emptyset)))=>(((X840)=(X838))|((X840)=(X839)))))=>(![X841:$i, X842:$i, X843:$i]:(((in @ X843 @ X841)=>![X844:$i]:(((in @ X844 @ X842)=>(subset @ (setadjoin @ X843 @ (setadjoin @ X844 @ emptyset)) @ (binunion @ X841 @ X842))))))=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(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_162, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_163]), foundationAx]), wellorderingAx]), c_0_164]), c_0_165]), c_0_166]), c_0_167]), c_0_168]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_169]), setext]), emptyI]), noeltsimpempty]), c_0_170]), c_0_171]), c_0_172]), c_0_173]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_174]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_175]), c_0_176]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_177]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_178]), c_0_179]), c_0_180]), inCongP]), in__Cong]), c_0_181]), c_0_182]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_183]), c_0_184]), c_0_185]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_186]), c_0_187]), 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]), setukpairIL]), setukpairIR]), c_0_188]), c_0_189]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion])])]), c_0_190])).
% 1.81/0.60 thf(c_0_192, negated_conjecture, ![X853:$i, X854:$i, X856:$i, X857:$i, X858:$i, X859:$i, X860:$i, X861:$i, X862:$i, X863:$i, X864:$i, X866:$i, X867:$i, X869:$i, X870:$i, X871:$i, X872:$i, X873:$i, X875:$i, X876:$i > $i > $o, X877:$i, X879:$i, X882:$i, X884:$i, X885:$i, X886:$i, X887:$i, X889:$i, X890:$i > $o, X891:$i, X893:$i, X894:$i > $o, X895:$i, X896:$i, X897:$i > $o, X898:$i, X899:$i, X900:$i > $o, X901:$i, X902:$i > $o, X903:$i, X906:$i, X907:$o, X908:$i, X909:$i, X910:$o, X911:$i, X912:$i, X913:$i > $o, X914:$i, X917:$i, X918:$i, X921:$i, X923:$i, X925:$i, X926:$i > $o, X927:$i, X928:$i, X930:$i, X931:$i > $o, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$o, X944:$i, X945:$i, X946:$i, X947:$i, X948:$i, X949:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$o, X963:$i, X964:$i, X965:$i > $o, X966:$i, X969:$i, X970:$i, X971:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i, X980:$i, X981:$i, X982:$i, X983:$i, X984:$i, X985:$i, X986:$i, X987:$i, X988:$i, X989:$i > $o, X990:$i, X991:$i > $o, X992:$i, X993:$i, X994:$i > $o, X995:$i, X997:$i, X998:$i > $o, X1000:$i, X1001:$i, X1002:$i > $o, X1004:$i, X1005:$i, X1006:$i > $o, X1007:$i, X1009:$o, X1010:$o, X1011:$i, X1012:$i > $o, X1014:$i, X1015:$i, X1016:$i > $o, X1017:$i, X1019:$i > $o, X1020:$i, X1023:$i, X1024:$i > $o, X1025:$i, X1029:$i, X1030:$i > $o, X1031:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$i, X1040:$i, X1041:$i, X1042:$i, X1043:$i > $o, X1044:$i, X1046:$i, X1047:$i, X1048:$i > $o, X1049:$i > $o, X1052:$i, X1055:$i, X1056:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i, X1068:$i > $o, X1069:$i, X1071:$i, X1072:$i, X1073:$i > $o, X1074:$i > $o, X1077:$i, X1079:$i, X1081:$i, X1082:$i, X1083:$i > $o, X1084:$i > $o, X1087:$i, X1088:$i, X1090:$i, X1091:$i, X1092:$i, X1093:$i, X1094:$i, X1095:$i, X1097:$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, X1114:$i, X1115:$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 > $o, X1135:$i, X1136:$i > $o, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i, X1147:$i, X1148:$o, X1149:$i, X1150:$i, X1151:$i, X1152:$i, X1153:$i, X1154:$i, X1155:$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:$i, X1169:$i, X1170:$i, X1171:$i, X1172:$i, X1173:$i, X1174:$i, X1175:$i, X1177:$i, X1178:$i, X1179:$i, X1180:$i, X1181:$i, X1182:$i, X1183:$i, X1184:$i, X1185:$i, X1186:$i, X1187:$i, X1188:$i, X1189:$i, X1190:$i, X1191:$i, X1192:$i, X1193:$i, X1194:$i, X1195:$i, X1196:$i, X1197:$i, X1198:$i, X1199:$i, X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i, X1205:$i, X1206:$i, X1207:$i, X1208:$i, X1209:$i, X1210:$i, X1211:$i, X1212:$i, X1213:$i, X1214:$i, X1215:$i, X1216:$o, X1217:$i, X1218:$i, X1219:$i, X1220:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$i, X1227:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1239:$i, X1240:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1253:$i, X1254:$i, X1255:$i, X1256:$i]:((((~(in @ (esk1_2 @ X853 @ X854) @ X853)|~(in @ (esk1_2 @ X853 @ X854) @ X854)|((X853)=(X854)))&((in @ (esk1_2 @ X853 @ X854) @ X853)|(in @ (esk1_2 @ X853 @ X854) @ X854)|((X853)=(X854))))&(~(in @ X856 @ emptyset)&(((~(in @ X859 @ (setadjoin @ X857 @ X858))|(((X859)=(X857))|(in @ X859 @ X858)))&((((X859)!=(X857))|(in @ X859 @ (setadjoin @ X857 @ X858)))&(~(in @ X859 @ X858)|(in @ X859 @ (setadjoin @ X857 @ X858)))))&(((~(in @ X861 @ (powerset @ X860))|(~(in @ X862 @ X861)|(in @ X862 @ X860)))&(((in @ (esk2_2 @ X863 @ X864) @ X864)|(in @ X864 @ (powerset @ X863)))&(~(in @ (esk2_2 @ X863 @ X864) @ X863)|(in @ X864 @ (powerset @ X863)))))&(((((in @ X867 @ (esk3_2 @ X866 @ X867))|~(in @ X867 @ (setunion @ X866)))&((in @ (esk3_2 @ X866 @ X867) @ X866)|~(in @ X867 @ (setunion @ X866))))&(~(in @ X870 @ X871)|~(in @ X871 @ X869)|(in @ X870 @ (setunion @ X869))))&((in @ emptyset @ omega)&((~(in @ X872 @ omega)|(in @ (setadjoin @ X872 @ X872) @ omega))&(((((in @ (esk4_1 @ X873) @ omega)|~(in @ emptyset @ X873)|(~(in @ X875 @ omega)|(in @ X875 @ X873)))&((in @ (esk4_1 @ X873) @ X873)|~(in @ emptyset @ X873)|(~(in @ X875 @ omega)|(in @ X875 @ X873))))&(~(in @ (setadjoin @ (esk4_1 @ X873) @ (esk4_1 @ X873)) @ X873)|~(in @ emptyset @ X873)|(~(in @ X875 @ omega)|(in @ X875 @ X873))))&((((((in @ (esk8_3 @ X876 @ X877 @ X882) @ X877)|~(in @ X882 @ (esk7_2 @ X876 @ X877))|(in @ (esk5_2 @ X876 @ X877) @ X877))&((X876 @ (esk8_3 @ 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X1079)|((descr @ X1073)=(descr @ X1074))|(((X1077)!=(esk48_3 @ X1073 @ X1074 @ X1077))|~(X1073 @ X1077))|((esk46_2 @ X1073 @ X1074)=(esk47_2 @ X1073 @ X1074)))&(((X1079)!=(esk49_3 @ X1073 @ X1074 @ X1079))|~(X1074 @ X1079)|((descr @ X1073)=(descr @ X1074))|(((X1077)!=(esk48_3 @ X1073 @ X1074 @ X1077))|~(X1073 @ X1077))|((esk46_2 @ X1073 @ X1074)=(esk47_2 @ X1073 @ X1074)))))&(((((X1074 @ (esk49_3 @ X1073 @ X1074 @ X1079))|~(X1074 @ X1079)|((descr @ X1073)=(descr @ X1074))|((X1073 @ (esk48_3 @ X1073 @ X1074 @ X1077))|~(X1073 @ X1077))|(~(X1073 @ (esk46_2 @ X1073 @ X1074))|~(X1074 @ (esk47_2 @ X1073 @ X1074))))&(((X1079)!=(esk49_3 @ X1073 @ X1074 @ X1079))|~(X1074 @ X1079)|((descr @ X1073)=(descr @ X1074))|((X1073 @ (esk48_3 @ X1073 @ X1074 @ X1077))|~(X1073 @ X1077))|(~(X1073 @ (esk46_2 @ X1073 @ X1074))|~(X1074 @ (esk47_2 @ X1073 @ X1074)))))&(((X1074 @ (esk49_3 @ X1073 @ X1074 @ X1079))|~(X1074 @ X1079)|((descr @ X1073)=(descr @ X1074))|(((X1077)!=(esk48_3 @ X1073 @ X1074 @ X1077))|~(X1073 @ X1077))|(~(X1073 @ (esk46_2 @ X1073 @ X1074))|~(X1074 @ (esk47_2 @ X1073 @ X1074))))&(((X1079)!=(esk49_3 @ X1073 @ X1074 @ X1079))|~(X1074 @ X1079)|((descr @ X1073)=(descr @ X1074))|(((X1077)!=(esk48_3 @ X1073 @ X1074 @ X1077))|~(X1073 @ X1077))|(~(X1073 @ (esk46_2 @ X1073 @ X1074))|~(X1074 @ (esk47_2 @ X1073 @ X1074))))))&((((X1074 @ (esk49_3 @ X1073 @ X1074 @ X1079))|~(X1074 @ X1079)|((descr @ X1073)=(descr @ X1074))|((X1073 @ (esk48_3 @ X1073 @ X1074 @ X1077))|~(X1073 @ X1077))|((X1073 @ (esk46_2 @ X1073 @ X1074))|(X1074 @ (esk47_2 @ X1073 @ X1074))))&(((X1079)!=(esk49_3 @ X1073 @ X1074 @ X1079))|~(X1074 @ X1079)|((descr @ X1073)=(descr @ X1074))|((X1073 @ (esk48_3 @ X1073 @ X1074 @ X1077))|~(X1073 @ X1077))|((X1073 @ (esk46_2 @ X1073 @ X1074))|(X1074 @ (esk47_2 @ X1073 @ X1074)))))&(((X1074 @ (esk49_3 @ X1073 @ X1074 @ X1079))|~(X1074 @ X1079)|((descr @ X1073)=(descr @ X1074))|(((X1077)!=(esk48_3 @ X1073 @ X1074 @ X1077))|~(X1073 @ X1077))|((X1073 @ (esk46_2 @ X1073 @ X1074))|(X1074 @ (esk47_2 @ X1073 @ X1074))))&(((X1079)!=(esk49_3 @ X1073 @ X1074 @ X1079))|~(X1074 @ X1079)|((descr @ X1073)=(descr @ X1074))|(((X1077)!=(esk48_3 @ X1073 @ X1074 @ X1077))|~(X1073 @ X1077))|((X1073 @ (esk46_2 @ X1073 @ X1074))|(X1074 @ (esk47_2 @ X1073 @ X1074))))))))&((((in @ (esk50_4 @ X1081 @ X1082 @ X1083 @ X1084) @ X1081)|((dsetconstr @ X1081 @ X1083)=(dsetconstr @ X1082 @ X1084))|((X1081)!=(X1082)))&(((in @ (esk51_4 @ X1081 @ X1082 @ X1083 @ X1084) @ X1082)|((dsetconstr @ X1081 @ X1083)=(dsetconstr @ X1082 @ X1084))|((X1081)!=(X1082)))&((((esk50_4 @ X1081 @ X1082 @ X1083 @ X1084)=(esk51_4 @ X1081 @ X1082 @ X1083 @ X1084))|((dsetconstr @ X1081 @ X1083)=(dsetconstr @ X1082 @ X1084))|((X1081)!=(X1082)))&((~(X1083 @ (esk50_4 @ X1081 @ X1082 @ X1083 @ X1084))|~(X1084 @ (esk51_4 @ X1081 @ X1082 @ X1083 @ X1084))|((dsetconstr @ X1081 @ X1083)=(dsetconstr @ X1082 @ X1084))|((X1081)!=(X1082)))&((X1083 @ (esk50_4 @ X1081 @ X1082 @ X1083 @ X1084))|(X1084 @ (esk51_4 @ X1081 @ X1082 @ X1083 @ X1084))|((dsetconstr @ X1081 @ X1083)=(dsetconstr @ X1082 @ X1084))|((X1081)!=(X1082)))))))&((((in @ (esk52_2 @ X1087 @ X1088) @ X1087)|(subset @ X1087 @ X1088))&(~(in @ (esk52_2 @ X1087 @ X1088) @ X1088)|(subset @ X1087 @ X1088)))&((((X1090)!=(X1091))|(subset @ X1091 @ X1090))&((((X1092)!=(X1093))|(subset @ X1092 @ X1093))&((((in @ (esk53_2 @ X1094 @ X1095) @ X1094)|(subset @ X1094 @ X1095))&(~(in @ (esk53_2 @ X1094 @ X1095) @ X1095)|(subset @ X1094 @ X1095)))&((subset @ emptyset @ X1097)&((~(subset @ X1098 @ X1099)|(~(in @ X1100 @ X1098)|(in @ X1100 @ X1099)))&((~(subset @ X1101 @ X1102)|((in @ X1103 @ X1102)|~(in @ X1103 @ X1101)))&((~(in @ X1106 @ X1104)|((in @ X1106 @ X1105)|~(subset @ X1104 @ X1105)))&(((subset @ X1107 @ X1108)|((X1107)!=(X1108)))&((~(in @ X1111 @ X1109)|((in @ X1111 @ X1110)|((X1109)!=(X1110))))&((subset @ X1112 @ X1112)&((~(subset @ X1113 @ X1114)|(~(subset @ X1114 @ X1115)|(subset @ X1113 @ X1115)))&((subset @ X1117 @ (setadjoin @ X1116 @ X1117))&((~(subset @ X1118 @ X1120)|(subset @ X1118 @ (setadjoin @ X1119 @ X1120)))&((~(subset @ X1121 @ X1122)|(in @ X1121 @ (powerset @ X1122)))&((~(subset @ X1123 @ X1124)|(~(subset @ X1124 @ X1123)|((X1123)=(X1124))))&((~(subset @ X1125 @ emptyset)|((X1125)=(emptyset)))&((~(subset @ X1127 @ X1126)|(in @ X1127 @ (powerset @ X1126)))&((~(in @ X1129 @ (powerset @ X1128))|(subset @ X1129 @ X1128))&((in @ X1130 @ (powerset @ X1130))&((~(subset @ X1131 @ X1132)|(subset @ (powerset @ X1131) @ (powerset @ X1132)))&((in @ (dsetconstr @ X1133 @ X1134) @ (powerset @ X1133))&((subset @ (dsetconstr @ X1135 @ X1136) @ X1135)&((~(in @ X1139 @ X1137)|(in @ X1139 @ (binunion @ X1137 @ X1138)))&((in @ X1141 @ (setadjoin @ X1140 @ (setadjoin @ X1141 @ emptyset)))&((~(in @ X1144 @ X1143)|(in @ X1144 @ (binunion @ X1142 @ X1143)))&(((((in @ X1147 @ X1146)|(X1148)|(in @ X1147 @ X1145)|~(in @ X1147 @ (binunion @ X1145 @ X1146)))&(~(X1148)|(X1148)|(in @ X1147 @ X1145)|~(in @ X1147 @ (binunion @ X1145 @ X1146))))&(((in @ X1147 @ X1146)|(X1148)|~(X1148)|~(in @ X1147 @ (binunion @ X1145 @ X1146)))&(~(X1148)|(X1148)|~(X1148)|~(in @ X1147 @ (binunion @ X1145 @ X1146)))))&((~(in @ X1151 @ (binunion @ X1149 @ X1150))|((in @ X1151 @ X1149)|(in @ X1151 @ X1150)))&((subset @ X1152 @ (binunion @ X1152 @ X1153))&((subset @ X1155 @ (binunion @ X1154 @ X1155))&((~(in @ X1158 @ X1156)|(~(in @ X1158 @ X1157)|(in @ X1158 @ (binintersect @ X1156 @ X1157))))&((~(subset @ X1161 @ X1159)|(~(subset @ X1161 @ X1160)|(subset @ X1161 @ (binintersect @ X1159 @ X1160))))&((~(in @ X1164 @ (binintersect @ X1162 @ X1163))|(in @ X1164 @ X1162))&((subset @ (binintersect @ X1165 @ X1166) @ X1165)&((~(subset @ X1167 @ X1168)|((binintersect @ X1167 @ X1168)=(X1167)))&((((binintersect @ X1169 @ X1170)!=(X1170))|(subset @ X1170 @ X1169))&((~(in @ X1173 @ (binintersect @ X1171 @ X1172))|(in @ X1173 @ X1172))&((((in @ (esk54_2 @ X1174 @ X1175) @ X1174)|((binintersect @ X1174 @ X1175)=(emptyset)))&((in @ (esk54_2 @ X1174 @ X1175) @ X1175)|((binintersect @ X1174 @ X1175)=(emptyset))))&((subset @ (binintersect @ X1177 @ X1178) @ X1178)&((~(subset @ X1180 @ X1179)|((binintersect @ X1179 @ X1180)=(X1180)))&((((binintersect @ X1181 @ X1182)!=(X1181))|(subset @ X1181 @ X1182))&(((binintersect @ X1183 @ (binunion @ X1184 @ X1185))=(binunion @ (binintersect @ X1183 @ X1184) @ (binintersect @ X1183 @ X1185)))&((~(in @ X1188 @ X1186)|((in @ X1188 @ X1187)|(in @ X1188 @ (setminus @ X1186 @ X1187))))&((~(in @ X1191 @ (setminus @ X1189 @ X1190))|(in @ X1191 @ X1189))&((~(in @ X1194 @ (setminus @ X1192 @ X1193))|~(in @ X1194 @ X1193))&((~(subset @ X1195 @ X1196)|((setminus @ X1195 @ X1196)=(emptyset)))&(((in @ X1199 @ (setminus @ X1197 @ X1198))|(~(in @ X1199 @ X1197)|(in @ X1199 @ X1198)))&(((in @ X1202 @ (setminus @ X1200 @ X1201))|((in @ X1202 @ X1201)|~(in @ X1202 @ X1200)))&(((in @ X1205 @ X1203)|~(in @ X1205 @ (setminus @ X1203 @ X1204)))&((~(in @ X1208 @ X1207)|~(in @ X1208 @ (setminus @ X1206 @ X1207)))&((subset @ (setminus @ X1209 @ X1210) @ X1209)&((((setminus @ X1211 @ X1212)!=(emptyset))|(subset @ X1211 @ X1212))&((((~(in @ X1215 @ X1213)|(X1216)|(in @ X1215 @ X1213)|~(in @ X1215 @ (symdiff @ X1213 @ X1214)))&(((in @ X1215 @ X1214)|(X1216)|(in @ X1215 @ X1213)|~(in @ X1215 @ (symdiff @ X1213 @ X1214)))&(~(X1216)|(X1216)|(in @ X1215 @ X1213)|~(in @ X1215 @ (symdiff @ X1213 @ X1214)))))&(((~(in @ X1215 @ X1213)|(X1216)|~(in @ X1215 @ X1214)|~(in @ X1215 @ (symdiff @ X1213 @ X1214)))&(((in @ X1215 @ X1214)|(X1216)|~(in @ X1215 @ X1214)|~(in @ X1215 @ (symdiff @ X1213 @ X1214)))&(~(X1216)|(X1216)|~(in @ X1215 @ X1214)|~(in @ X1215 @ (symdiff @ X1213 @ X1214)))))&((~(in @ X1215 @ X1213)|(X1216)|~(X1216)|~(in @ X1215 @ (symdiff @ X1213 @ X1214)))&(((in @ X1215 @ X1214)|(X1216)|~(X1216)|~(in @ X1215 @ (symdiff @ X1213 @ X1214)))&(~(X1216)|(X1216)|~(X1216)|~(in @ X1215 @ (symdiff @ X1213 @ X1214)))))))&((~(in @ X1219 @ X1217)|((in @ X1219 @ X1218)|(in @ X1219 @ (symdiff @ X1217 @ X1218))))&(((in @ X1222 @ X1220)|(~(in @ X1222 @ X1221)|(in @ X1222 @ (symdiff @ X1220 @ X1221))))&((~(in @ X1225 @ X1223)|(~(in @ X1225 @ X1224)|~(in @ X1225 @ (symdiff @ X1223 @ X1224))))&(((in @ X1228 @ X1226)|((in @ X1228 @ X1227)|~(in @ X1228 @ (symdiff @ X1226 @ X1227))))&((in @ X1230 @ (setadjoin @ X1229 @ (setadjoin @ X1230 @ emptyset)))&((in @ X1231 @ (setunion @ (setadjoin @ (setadjoin @ X1231 @ emptyset) @ (setadjoin @ (setadjoin @ X1231 @ (setadjoin @ X1232 @ emptyset)) @ emptyset))))&((in @ X1234 @ (setunion @ (setadjoin @ (setadjoin @ X1233 @ emptyset) @ (setadjoin @ (setadjoin @ X1233 @ (setadjoin @ X1234 @ emptyset)) @ emptyset))))&(((in @ (esk55_2 @ X1235 @ X1236) @ (setunion @ (setadjoin @ (setadjoin @ X1235 @ emptyset) @ (setadjoin @ (setadjoin @ X1235 @ (setadjoin @ X1236 @ emptyset)) @ emptyset))))&((in @ (esk56_2 @ X1235 @ X1236) @ (setunion @ (setadjoin @ (setadjoin @ X1235 @ emptyset) @ (setadjoin @ (setadjoin @ X1235 @ (setadjoin @ X1236 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1235 @ emptyset) @ (setadjoin @ (setadjoin @ X1235 @ (setadjoin @ X1236 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X1235 @ X1236) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X1235 @ X1236) @ (setadjoin @ (esk56_2 @ X1235 @ X1236) @ emptyset)) @ emptyset)))))&(((in @ (esk57_2 @ X1239 @ X1240) @ (setunion @ (kpair @ X1239 @ X1240)))&((in @ (esk58_2 @ X1239 @ X1240) @ (setunion @ (kpair @ X1239 @ X1240)))&((kpair @ X1239 @ X1240)=(setadjoin @ (setadjoin @ (esk57_2 @ X1239 @ X1240) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X1239 @ X1240) @ (setadjoin @ (esk58_2 @ X1239 @ X1240) @ emptyset)) @ emptyset)))))&((~(in @ X1244 @ X1243)|(subset @ (setadjoin @ X1244 @ emptyset) @ X1243))&((~(in @ X1246 @ X1245)|(in @ (setadjoin @ X1246 @ emptyset) @ (powerset @ X1245)))&((~(in @ X1249 @ X1247)|(in @ (setadjoin @ X1249 @ emptyset) @ (powerset @ (binunion @ X1247 @ X1248))))&((~(in @ X1252 @ (setadjoin @ X1250 @ (setadjoin @ X1251 @ emptyset)))|(((X1252)=(X1250))|((X1252)=(X1251))))&((~(in @ X1255 @ X1253)|(~(in @ X1256 @ X1254)|(subset @ (setadjoin @ X1255 @ (setadjoin @ X1256 @ emptyset)) @ (binunion @ X1253 @ X1254))))&((in @ esk61_0 @ esk59_0)&((in @ esk62_0 @ esk60_0)&~(in @ (setadjoin @ esk61_0 @ (setadjoin @ esk62_0 @ emptyset)) @ (powerset @ (binunion @ esk59_0 @ esk60_0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_191])])])])])])])).
% 1.81/0.60 thf(c_0_193, negated_conjecture, ~((in @ (setadjoin @ esk61_0 @ (setadjoin @ esk62_0 @ emptyset)) @ (powerset @ (binunion @ esk59_0 @ esk60_0)))), inference(split_conjunct,[status(thm)],[c_0_192])).
% 1.81/0.60 thf(c_0_194, negated_conjecture, ![X2:$i, X3:$i]:(((in @ X2 @ (powerset @ X3))|~((subset @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_192])).
% 1.81/0.60 thf(c_0_195, negated_conjecture, ~((subset @ (setadjoin @ esk61_0 @ (setadjoin @ esk62_0 @ emptyset)) @ (binunion @ esk59_0 @ esk60_0))), inference(spm,[status(thm)],[c_0_193, c_0_194])).
% 1.81/0.60 thf(c_0_196, negated_conjecture, ![X2:$i, X3:$i, X4:$i, X5:$i]:(((subset @ (setadjoin @ X2 @ (setadjoin @ X4 @ emptyset)) @ (binunion @ X3 @ X5))|~((in @ X2 @ X3))|~((in @ X4 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_192])).
% 1.81/0.60 thf(c_0_197, negated_conjecture, (in @ esk62_0 @ esk60_0), inference(split_conjunct,[status(thm)],[c_0_192])).
% 1.81/0.60 thf(c_0_198, negated_conjecture, (in @ esk61_0 @ esk59_0), inference(split_conjunct,[status(thm)],[c_0_192])).
% 1.81/0.60 thf(c_0_199, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195, c_0_196]), c_0_197]), c_0_198])]), ['proof']).
% 1.81/0.60 % SZS output end CNFRefutation
% 1.81/0.60 % Parsed axioms : 313
% 1.81/0.60 % Removed by relevancy pruning/SinE : 0
% 1.81/0.60 % Initial clauses : 444
% 1.81/0.60 % Removed in clause preprocessing : 190
% 1.81/0.60 % Initial clauses in saturation : 254
% 1.81/0.60 % Processed clauses : 2133
% 1.81/0.60 % ...of these trivial : 23
% 1.81/0.60 % ...subsumed : 1459
% 1.81/0.60 % ...remaining for further processing : 651
% 1.81/0.60 % Other redundant clauses eliminated : 27
% 1.81/0.60 % Clauses deleted for lack of memory : 0
% 1.81/0.60 % Backward-subsumed : 2
% 1.81/0.60 % Backward-rewritten : 6
% 1.81/0.60 % Generated clauses : 21498
% 1.81/0.60 % ...of the previous two non-redundant : 18842
% 1.81/0.60 % ...aggressively subsumed : 0
% 1.81/0.60 % Contextual simplify-reflections : 1
% 1.81/0.60 % Paramodulations : 21469
% 1.81/0.60 % Factorizations : 2
% 1.81/0.60 % NegExts : 0
% 1.81/0.60 % Equation resolutions : 27
% 1.81/0.60 % Disequality decompositions : 0
% 1.81/0.60 % Total rewrite steps : 7155
% 1.81/0.60 % ...of those cached : 6905
% 1.81/0.60 % Propositional unsat checks : 0
% 1.81/0.60 % Propositional check models : 0
% 1.81/0.60 % Propositional check unsatisfiable : 0
% 1.81/0.60 % Propositional clauses : 0
% 1.81/0.60 % Propositional clauses after purity: 0
% 1.81/0.60 % Propositional unsat core size : 0
% 1.81/0.60 % Propositional preprocessing time : 0.000
% 1.81/0.60 % Propositional encoding time : 0.000
% 1.81/0.60 % Propositional solver time : 0.000
% 1.81/0.60 % Success case prop preproc time : 0.000
% 1.81/0.60 % Success case prop encoding time : 0.000
% 1.81/0.60 % Success case prop solver time : 0.000
% 1.81/0.60 % Current number of processed clauses : 629
% 1.81/0.60 % Positive orientable unit clauses : 213
% 1.81/0.60 % Positive unorientable unit clauses: 0
% 1.81/0.60 % Negative unit clauses : 5
% 1.81/0.60 % Non-unit-clauses : 411
% 1.81/0.60 % Current number of unprocessed clauses: 16917
% 1.81/0.60 % ...number of literals in the above : 59153
% 1.81/0.60 % Current number of archived formulas : 0
% 1.81/0.60 % Current number of archived clauses : 8
% 1.81/0.60 % Clause-clause subsumption calls (NU) : 21060
% 1.81/0.60 % Rec. Clause-clause subsumption calls : 11414
% 1.81/0.60 % Non-unit clause-clause subsumptions : 821
% 1.81/0.60 % Unit Clause-clause subsumption calls : 1329
% 1.81/0.60 % Rewrite failures with RHS unbound : 0
% 1.81/0.60 % BW rewrite match attempts : 949
% 1.81/0.60 % BW rewrite match successes : 4
% 1.81/0.60 % Condensation attempts : 0
% 1.81/0.60 % Condensation successes : 0
% 1.81/0.60 % Termbank termtop insertions : 418145
% 1.81/0.60 % Search garbage collected termcells : 13968
% 1.81/0.60
% 1.81/0.60 % -------------------------------------------------
% 1.81/0.60 % User time : 0.260 s
% 1.81/0.60 % System time : 0.023 s
% 1.81/0.60 % Total time : 0.283 s
% 1.81/0.60 % Maximum resident set size: 6760 pages
% 1.81/0.60
% 1.81/0.60 % -------------------------------------------------
% 1.81/0.60 % User time : 0.437 s
% 1.81/0.60 % System time : 0.106 s
% 1.81/0.60 % Total time : 0.543 s
% 1.81/0.60 % Maximum resident set size: 5120 pages
% 1.81/0.60 % E exiting
%------------------------------------------------------------------------------