%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU638^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:24:49 AM UTC 2026
% Result : Theorem 0.20s 0.34s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU638^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 14:00:45 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.20/0.27 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p
% 0.20/0.34 % Version: 3.5.1-ho
% 0.20/0.34 % Preprocessing class: HSLMSLSSLLLCHSA.
% 0.20/0.34 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.34 % Starting ho_unfolding_5 with 1200s (4) cores
% 0.20/0.34 % Starting pre_casc_3 with 300s (1) cores
% 0.20/0.34 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.20/0.34 % Starting full_lambda_10 with 300s (1) cores
% 0.20/0.34 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.20/0.34 % ehoh_best_nonlift_rwall with pid 2708363 completed with status 0
% 0.20/0.34 % Result found by ehoh_best_nonlift_rwall
% 0.20/0.34 % Preprocessing class: HSLMSLSSLLLCHSA.
% 0.20/0.34 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.34 % Starting ho_unfolding_5 with 1200s (4) cores
% 0.20/0.34 % Starting pre_casc_3 with 300s (1) cores
% 0.20/0.34 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.20/0.34 % Starting full_lambda_10 with 300s (1) cores
% 0.20/0.34 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.20/0.34 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 0.20/0.34 % No SInE strategy applied
% 0.20/0.34 % Search class: HGHSM-FSLM31-MHSMMSBN
% 0.20/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.20/0.34 % SubtermCWHack with pid 2708366 completed with status 0
% 0.20/0.34 % Result found by SubtermCWHack
% 0.20/0.34 % Preprocessing class: HSLMSLSSLLLCHSA.
% 0.20/0.34 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.34 % Starting ho_unfolding_5 with 1200s (4) cores
% 0.20/0.34 % Starting pre_casc_3 with 300s (1) cores
% 0.20/0.34 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.20/0.34 % Starting full_lambda_10 with 300s (1) cores
% 0.20/0.34 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.20/0.34 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 0.20/0.34 % No SInE strategy applied
% 0.20/0.34 % Search class: HGHSM-FSLM31-MHSMMSBN
% 0.20/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.20/0.34 % Preprocessing time : 0.005 s
% 0.20/0.34
% 0.20/0.34 % Proof found!
% 0.20/0.34 % SZS status Theorem
% 0.20/0.34 % SZS output start CNFRefutation
% 0.20/0.34 thf(decl_23, type, in: $i > $i > $o).
% 0.20/0.34 thf(decl_24, type, exu: ($i > $o) > $o).
% 0.20/0.34 thf(decl_25, type, setextAx: $o).
% 0.20/0.34 thf(decl_26, type, emptyset: $i).
% 0.20/0.34 thf(decl_27, type, emptysetAx: $o).
% 0.20/0.34 thf(decl_28, type, setadjoin: $i > $i > $i).
% 0.20/0.34 thf(decl_29, type, setadjoinAx: $o).
% 0.20/0.34 thf(decl_30, type, powerset: $i > $i).
% 0.20/0.34 thf(decl_31, type, powersetAx: $o).
% 0.20/0.34 thf(decl_32, type, setunion: $i > $i).
% 0.20/0.34 thf(decl_33, type, setunionAx: $o).
% 0.20/0.34 thf(decl_34, type, omega: $i).
% 0.20/0.34 thf(decl_35, type, omega0Ax: $o).
% 0.20/0.34 thf(decl_36, type, omegaSAx: $o).
% 0.20/0.34 thf(decl_37, type, omegaIndAx: $o).
% 0.20/0.34 thf(decl_38, type, replAx: $o).
% 0.20/0.34 thf(decl_39, type, foundationAx: $o).
% 0.20/0.34 thf(decl_40, type, wellorderingAx: $o).
% 0.20/0.34 thf(decl_41, type, descr: ($i > $o) > $i).
% 0.20/0.34 thf(decl_42, type, descrp: $o).
% 0.20/0.34 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 0.20/0.34 thf(decl_44, type, dsetconstrI: $o).
% 0.20/0.34 thf(decl_45, type, dsetconstrEL: $o).
% 0.20/0.34 thf(decl_46, type, dsetconstrER: $o).
% 0.20/0.34 thf(decl_47, type, exuE1: $o).
% 0.20/0.34 thf(decl_48, type, prop2set: $o > $i).
% 0.20/0.34 thf(decl_49, type, prop2setE: $o).
% 0.20/0.34 thf(decl_50, type, emptysetE: $o).
% 0.20/0.34 thf(decl_51, type, emptysetimpfalse: $o).
% 0.20/0.34 thf(decl_52, type, notinemptyset: $o).
% 0.20/0.34 thf(decl_53, type, exuE3e: $o).
% 0.20/0.34 thf(decl_54, type, setext: $o).
% 0.20/0.34 thf(decl_55, type, emptyI: $o).
% 0.20/0.34 thf(decl_56, type, noeltsimpempty: $o).
% 0.20/0.34 thf(decl_57, type, setbeta: $o).
% 0.20/0.34 thf(decl_58, type, nonempty: $i > $o).
% 0.20/0.34 thf(decl_59, type, nonemptyE1: $o).
% 0.20/0.34 thf(decl_60, type, nonemptyI: $o).
% 0.20/0.34 thf(decl_61, type, nonemptyI1: $o).
% 0.20/0.34 thf(decl_62, type, setadjoinIL: $o).
% 0.20/0.34 thf(decl_63, type, emptyinunitempty: $o).
% 0.20/0.34 thf(decl_64, type, setadjoinIR: $o).
% 0.20/0.34 thf(decl_65, type, setadjoinE: $o).
% 0.20/0.34 thf(decl_66, type, setadjoinOr: $o).
% 0.20/0.34 thf(decl_67, type, setoftrueEq: $o).
% 0.20/0.34 thf(decl_68, type, powersetI: $o).
% 0.20/0.34 thf(decl_69, type, emptyinPowerset: $o).
% 0.20/0.34 thf(decl_70, type, emptyInPowerset: $o).
% 0.20/0.34 thf(decl_71, type, powersetE: $o).
% 0.20/0.34 thf(decl_72, type, setunionI: $o).
% 0.20/0.34 thf(decl_73, type, setunionE: $o).
% 0.20/0.34 thf(decl_74, type, subPowSU: $o).
% 0.20/0.34 thf(decl_75, type, exuE2: $o).
% 0.20/0.34 thf(decl_76, type, nonemptyImpWitness: $o).
% 0.20/0.34 thf(decl_77, type, uniqinunit: $o).
% 0.20/0.34 thf(decl_78, type, notinsingleton: $o).
% 0.20/0.34 thf(decl_79, type, eqinunit: $o).
% 0.20/0.34 thf(decl_80, type, singletonsswitch: $o).
% 0.20/0.34 thf(decl_81, type, upairsetE: $o).
% 0.20/0.34 thf(decl_82, type, upairsetIL: $o).
% 0.20/0.34 thf(decl_83, type, upairsetIR: $o).
% 0.20/0.34 thf(decl_84, type, emptyE1: $o).
% 0.20/0.34 thf(decl_85, type, vacuousDall: $o).
% 0.20/0.34 thf(decl_86, type, quantDeMorgan1: $o).
% 0.20/0.34 thf(decl_87, type, quantDeMorgan2: $o).
% 0.20/0.34 thf(decl_88, type, quantDeMorgan3: $o).
% 0.20/0.34 thf(decl_89, type, quantDeMorgan4: $o).
% 0.20/0.34 thf(decl_90, type, prop2setI: $o).
% 0.20/0.34 thf(decl_91, type, set2prop: $i > $o).
% 0.20/0.34 thf(decl_92, type, prop2set2propI: $o).
% 0.20/0.34 thf(decl_93, type, notdexE: $o).
% 0.20/0.34 thf(decl_94, type, notdallE: $o).
% 0.20/0.34 thf(decl_95, type, exuI1: $o).
% 0.20/0.34 thf(decl_96, type, exuI3: $o).
% 0.20/0.34 thf(decl_97, type, exuI2: $o).
% 0.20/0.34 thf(decl_98, type, inCongP: $o).
% 0.20/0.34 thf(decl_99, type, in__Cong: $o).
% 0.20/0.34 thf(decl_100, type, exuE3u: $o).
% 0.20/0.34 thf(decl_101, type, exu__Cong: $o).
% 0.20/0.34 thf(decl_102, type, emptyset__Cong: $o).
% 0.20/0.34 thf(decl_103, type, setadjoin__Cong: $o).
% 0.20/0.34 thf(decl_104, type, powerset__Cong: $o).
% 0.20/0.34 thf(decl_105, type, setunion__Cong: $o).
% 0.20/0.34 thf(decl_106, type, omega__Cong: $o).
% 0.20/0.34 thf(decl_107, type, exuEu: $o).
% 0.20/0.34 thf(decl_108, type, descr__Cong: $o).
% 0.20/0.34 thf(decl_109, type, dsetconstr__Cong: $o).
% 0.20/0.34 thf(decl_110, type, subset: $i > $i > $o).
% 0.20/0.34 thf(decl_113, type, subsetI1: $o).
% 0.20/0.35 thf(decl_114, type, eqimpsubset2: $o).
% 0.20/0.35 thf(decl_115, type, eqimpsubset1: $o).
% 0.20/0.35 thf(decl_116, type, subsetI2: $o).
% 0.20/0.35 thf(decl_117, type, emptysetsubset: $o).
% 0.20/0.35 thf(decl_118, type, subsetE: $o).
% 0.20/0.35 thf(decl_119, type, subsetE2: $o).
% 0.20/0.35 thf(decl_120, type, notsubsetI: $o).
% 0.20/0.35 thf(decl_121, type, notequalI1: $o).
% 0.20/0.35 thf(decl_122, type, notequalI2: $o).
% 0.20/0.35 thf(decl_123, type, subsetRefl: $o).
% 0.20/0.35 thf(decl_124, type, subsetTrans: $o).
% 0.20/0.35 thf(decl_125, type, setadjoinSub: $o).
% 0.20/0.35 thf(decl_126, type, setadjoinSub2: $o).
% 0.20/0.35 thf(decl_127, type, subset2powerset: $o).
% 0.20/0.35 thf(decl_128, type, setextsub: $o).
% 0.20/0.35 thf(decl_129, type, subsetemptysetimpeq: $o).
% 0.20/0.35 thf(decl_130, type, powersetI1: $o).
% 0.20/0.35 thf(decl_131, type, powersetE1: $o).
% 0.20/0.35 thf(decl_132, type, inPowerset: $o).
% 0.20/0.35 thf(decl_133, type, powersetsubset: $o).
% 0.20/0.35 thf(decl_134, type, sepInPowerset: $o).
% 0.20/0.35 thf(decl_135, type, sepSubset: $o).
% 0.20/0.35 thf(decl_136, type, binunion: $i > $i > $i).
% 0.20/0.35 thf(decl_137, type, binunionIL: $o).
% 0.20/0.35 thf(decl_138, type, upairset2IR: $o).
% 0.20/0.35 thf(decl_139, type, binunionIR: $o).
% 0.20/0.35 thf(decl_140, type, binunionEcases: $o).
% 0.20/0.35 thf(decl_141, type, binunionE: $o).
% 0.20/0.35 thf(decl_142, type, binunionLsub: $o).
% 0.20/0.35 thf(decl_143, type, binunionRsub: $o).
% 0.20/0.35 thf(decl_144, type, binintersect: $i > $i > $i).
% 0.20/0.35 thf(decl_145, type, binintersectI: $o).
% 0.20/0.35 thf(decl_146, type, binintersectSubset5: $o).
% 0.20/0.35 thf(decl_147, type, binintersectEL: $o).
% 0.20/0.35 thf(decl_148, type, binintersectLsub: $o).
% 0.20/0.35 thf(decl_149, type, binintersectSubset2: $o).
% 0.20/0.35 thf(decl_150, type, binintersectSubset3: $o).
% 0.20/0.35 thf(decl_151, type, binintersectER: $o).
% 0.20/0.35 thf(decl_152, type, disjointsetsI1: $o).
% 0.20/0.35 thf(decl_153, type, binintersectRsub: $o).
% 0.20/0.35 thf(decl_154, type, binintersectSubset4: $o).
% 0.20/0.35 thf(decl_155, type, binintersectSubset1: $o).
% 0.20/0.35 thf(decl_156, type, bs114d: $o).
% 0.20/0.35 thf(decl_158, type, setminus: $i > $i > $i).
% 0.20/0.35 thf(decl_159, type, setminusI: $o).
% 0.20/0.35 thf(decl_160, type, setminusEL: $o).
% 0.20/0.35 thf(decl_161, type, setminusER: $o).
% 0.20/0.35 thf(decl_162, type, setminusSubset2: $o).
% 0.20/0.35 thf(decl_163, type, setminusERneg: $o).
% 0.20/0.35 thf(decl_164, type, setminusELneg: $o).
% 0.20/0.35 thf(decl_165, type, setminusILneg: $o).
% 0.20/0.35 thf(decl_166, type, setminusIRneg: $o).
% 0.20/0.35 thf(decl_167, type, setminusLsub: $o).
% 0.20/0.35 thf(decl_168, type, setminusSubset1: $o).
% 0.20/0.35 thf(decl_169, type, symdiff: $i > $i > $i).
% 0.20/0.35 thf(decl_170, type, symdiffE: $o).
% 0.20/0.35 thf(decl_171, type, symdiffI1: $o).
% 0.20/0.35 thf(decl_172, type, symdiffI2: $o).
% 0.20/0.35 thf(decl_173, type, symdiffIneg1: $o).
% 0.20/0.35 thf(decl_174, type, symdiffIneg2: $o).
% 0.20/0.35 thf(decl_175, type, iskpair: $i > $o).
% 0.20/0.35 thf(decl_176, type, secondinupair: $o).
% 0.20/0.35 thf(decl_177, type, setukpairIL: $o).
% 0.20/0.35 thf(decl_178, type, setukpairIR: $o).
% 0.20/0.35 thf(decl_179, type, kpairiskpair: $o).
% 0.20/0.35 thf(decl_180, type, kpair: $i > $i > $i).
% 0.20/0.35 thf(decl_181, type, kpairp: $o).
% 0.20/0.35 thf(decl_182, type, cartprod: $i > $i > $i).
% 0.20/0.35 thf(decl_183, type, singletonsubset: $o).
% 0.20/0.35 thf(decl_184, type, singletoninpowerset: $o).
% 0.20/0.35 thf(decl_185, type, singletoninpowunion: $o).
% 0.20/0.35 thf(decl_186, type, upairset2E: $o).
% 0.20/0.35 thf(decl_187, type, upairsubunion: $o).
% 0.20/0.35 thf(decl_188, type, upairinpowunion: $o).
% 0.20/0.35 thf(decl_189, type, ubforcartprodlem1: $o).
% 0.20/0.35 thf(decl_190, type, ubforcartprodlem2: $o).
% 0.20/0.35 thf(decl_191, type, ubforcartprodlem3: $o).
% 0.20/0.35 thf(decl_192, type, cartprodpairin: $o).
% 0.20/0.35 thf(decl_193, type, cartprodmempair1: $o).
% 0.20/0.35 thf(decl_194, type, cartprodmempair: $o).
% 0.20/0.35 thf(decl_195, type, setunionE2: $o).
% 0.20/0.35 thf(decl_196, type, setunionsingleton1: $o).
% 0.20/0.35 thf(decl_197, type, setunionsingleton2: $o).
% 0.20/0.35 thf(decl_198, type, setunionsingleton: $o).
% 0.20/0.35 thf(decl_199, type, singleton: $i > $o).
% 0.20/0.35 thf(decl_200, type, singletonprop: $o).
% 0.20/0.35 thf(decl_201, type, ex1: $i > ($i > $o) > $o).
% 0.20/0.35 thf(decl_202, type, epred1_0: $o).
% 0.20/0.35 thf(decl_203, type, esk1_2: $i > $i > $i).
% 0.20/0.35 thf(decl_204, type, esk2_2: $i > $i > $i).
% 0.20/0.35 thf(decl_205, type, esk3_2: $i > $i > $i).
% 0.20/0.35 thf(decl_206, type, esk4_1: $i > $i).
% 0.20/0.35 thf(decl_207, type, esk5_2: ($i > $i > $o) > $i > $i).
% 0.20/0.35 thf(decl_208, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 0.20/0.35 thf(decl_209, type, esk7_2: ($i > $i > $o) > $i > $i).
% 0.20/0.35 thf(decl_210, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 0.20/0.35 thf(decl_211, type, esk9_1: $i > $i).
% 0.20/0.35 thf(decl_212, type, esk10_2: ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_213, type, esk11_2: ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_214, type, esk12_1: ($i > $o) > $i).
% 0.20/0.35 thf(decl_215, type, esk13_2: ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_216, type, esk14_1: ($i > $o) > $i).
% 0.20/0.35 thf(decl_217, type, esk15_2: $i > $i > $i).
% 0.20/0.35 thf(decl_218, type, esk16_2: $i > $i > $i).
% 0.20/0.35 thf(decl_219, type, esk17_1: $i > $i).
% 0.20/0.35 thf(decl_220, type, esk18_1: $i > $i).
% 0.20/0.35 thf(decl_221, type, esk19_1: $i > $i).
% 0.20/0.35 thf(decl_222, type, esk20_2: $i > $i > $i).
% 0.20/0.35 thf(decl_223, type, esk21_3: $i > $i > $o > $i).
% 0.20/0.35 thf(decl_224, type, esk22_2: ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_225, type, esk23_1: ($i > $o) > $i).
% 0.20/0.35 thf(decl_226, type, esk24_1: $i > $i).
% 0.20/0.35 thf(decl_227, type, esk25_2: $i > ($i > $o) > $i).
% 0.20/0.35 thf(decl_228, type, esk26_2: $i > ($i > $o) > $i).
% 0.20/0.35 thf(decl_229, type, esk27_2: $i > ($i > $o) > $i).
% 0.20/0.35 thf(decl_230, type, esk28_2: $i > ($i > $o) > $i).
% 0.20/0.35 thf(decl_231, type, esk29_2: $i > ($i > $o) > $i).
% 0.20/0.35 thf(decl_232, type, esk30_2: $i > ($i > $o) > $i).
% 0.20/0.35 thf(decl_233, type, esk31_2: ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_234, type, esk32_1: ($i > $o) > $i).
% 0.20/0.35 thf(decl_235, type, esk33_1: ($i > $o) > $i).
% 0.20/0.35 thf(decl_236, type, esk34_1: ($i > $o) > $i).
% 0.20/0.35 thf(decl_237, type, esk35_1: ($i > $o) > $i).
% 0.20/0.35 thf(decl_238, type, esk36_2: ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_239, type, esk37_1: ($i > $o) > $i).
% 0.20/0.35 thf(decl_240, type, esk38_2: ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_241, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.35 thf(decl_242, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.35 thf(decl_243, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_244, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.35 thf(decl_245, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_246, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.35 thf(decl_247, type, esk45_2: ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_248, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.35 thf(decl_249, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.35 thf(decl_250, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_251, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 0.20/0.35 thf(decl_252, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.20/0.35 thf(decl_253, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 0.20/0.35 thf(decl_254, type, esk52_2: $i > $i > $i).
% 0.20/0.35 thf(decl_255, type, esk53_2: $i > $i > $i).
% 0.20/0.35 thf(decl_256, type, esk54_2: $i > $i > $i).
% 0.20/0.35 thf(decl_257, type, esk55_2: $i > $i > $i).
% 0.20/0.35 thf(decl_258, type, esk56_2: $i > $i > $i).
% 0.20/0.35 thf(decl_259, type, esk57_2: $i > $i > $i).
% 0.20/0.35 thf(decl_260, type, esk58_2: $i > $i > $i).
% 0.20/0.35 thf(decl_261, type, esk59_3: $i > $i > $i > $i).
% 0.20/0.35 thf(decl_262, type, esk60_3: $i > $i > $i > $i).
% 0.20/0.35 thf(decl_263, type, esk61_3: $i > $i > $i > $i).
% 0.20/0.35 thf(decl_264, type, esk62_3: $i > $i > $i > $i).
% 0.20/0.35 thf(decl_265, type, esk63_2: $i > $i > $i).
% 0.20/0.35 thf(decl_266, type, esk64_2: $i > ($i > $o) > $i).
% 0.20/0.35 thf(decl_267, type, esk65_2: $i > ($i > $o) > $i).
% 0.20/0.35 thf(decl_268, type, esk66_2: $i > ($i > $o) > $i).
% 0.20/0.35 thf(decl_269, type, esk67_0: $i).
% 0.20/0.35 thf(decl_270, type, epred2_0: $i > $o).
% 0.20/0.35 thf(decl_271, type, esk68_0: $i).
% 0.20/0.35 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', replAx)).
% 0.20/0.35 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', exu)).
% 0.20/0.35 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', descrp)).
% 0.20/0.35 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', exuE1)).
% 0.20/0.35 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', exuE3e)).
% 0.20/0.35 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', nonempty)).
% 0.20/0.35 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', nonemptyI)).
% 0.20/0.35 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', exuE2)).
% 0.20/0.35 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', exuI1)).
% 0.20/0.35 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', exuI3)).
% 0.20/0.35 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', exuI2)).
% 0.20/0.35 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', exuE3u)).
% 0.20/0.35 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', exu__Cong)).
% 0.20/0.35 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', exuEu)).
% 0.20/0.35 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', descr__Cong)).
% 0.20/0.35 thf(iskpair, axiom, ((iskpair)=(^[X4:$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/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', iskpair)).
% 0.20/0.35 thf(kpair, axiom, ((kpair)=(^[X2:$i, X3:$i]:(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', kpair)).
% 0.20/0.35 thf(singletonprop, axiom, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', singletonprop)).
% 0.20/0.35 thf(singleton, axiom, ((singleton)=(^[X4:$i]:(?[X2:$i]:((((in @ X2 @ X4))&(((X4)=(setadjoin @ X2 @ emptyset)))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', singleton)).
% 0.20/0.35 thf(ex1, axiom, ((ex1)=(^[X4:$i, X1:$i > $o]:((singleton @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', ex1)).
% 0.20/0.35 thf(ex1E1, 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)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', ex1E1)).
% 0.20/0.35 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', dsetconstrI)).
% 0.20/0.35 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', dsetconstrEL)).
% 0.20/0.35 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', dsetconstrER)).
% 0.20/0.35 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setbeta)).
% 0.20/0.35 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', nonemptyE1)).
% 0.20/0.35 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', nonemptyI1)).
% 0.20/0.35 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setoftrueEq)).
% 0.20/0.35 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', nonemptyImpWitness)).
% 0.20/0.35 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', emptyE1)).
% 0.20/0.35 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', dsetconstr__Cong)).
% 0.20/0.35 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', sepInPowerset)).
% 0.20/0.35 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', sepSubset)).
% 0.20/0.35 thf(kpairiskpair, axiom, ((kpairiskpair)<=>![X2:$i, X3:$i]:((iskpair @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', kpairiskpair)).
% 0.20/0.35 thf(kpairp, axiom, ((kpairp)<=>![X2:$i, X3:$i]:((iskpair @ (kpair @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', kpairp)).
% 0.20/0.35 thf(ubforcartprodlem3, axiom, ((ubforcartprodlem3)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', ubforcartprodlem3)).
% 0.20/0.35 thf(cartprodpairin, axiom, ((cartprodpairin)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (kpair @ X2 @ X3) @ (cartprod @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', cartprodpairin)).
% 0.20/0.35 thf(cartprodmempair1, axiom, ((cartprodmempair1)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>?[X2:$i]:(((in @ X2 @ X4)&?[X3:$i]:(((in @ X3 @ X5)&((X18)=(kpair @ X2 @ X3))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', cartprodmempair1)).
% 0.20/0.35 thf(cartprodmempair, axiom, ((cartprodmempair)<=>![X4:$i, X5:$i, X18:$i]:(((in @ X18 @ (cartprod @ X4 @ X5))=>(iskpair @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', cartprodmempair)).
% 0.20/0.35 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setextAx)).
% 0.20/0.35 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', emptysetAx)).
% 0.20/0.35 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setadjoinAx)).
% 0.20/0.35 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', powersetAx)).
% 0.20/0.35 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setunionAx)).
% 0.20/0.35 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', omega0Ax)).
% 0.20/0.35 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', omegaSAx)).
% 0.20/0.35 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', omegaIndAx)).
% 0.20/0.35 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', foundationAx)).
% 0.20/0.35 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', wellorderingAx)).
% 0.20/0.35 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', prop2setE)).
% 0.20/0.35 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', emptysetE)).
% 0.20/0.35 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', emptysetimpfalse)).
% 0.20/0.35 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', notinemptyset)).
% 0.20/0.35 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setext)).
% 0.20/0.35 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', emptyI)).
% 0.20/0.35 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', noeltsimpempty)).
% 0.20/0.35 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setadjoinIL)).
% 0.20/0.35 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', emptyinunitempty)).
% 0.20/0.35 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setadjoinIR)).
% 0.20/0.35 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setadjoinE)).
% 0.20/0.35 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setadjoinOr)).
% 0.20/0.35 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', powersetI)).
% 0.20/0.35 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', emptyinPowerset)).
% 0.20/0.35 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', emptyInPowerset)).
% 0.20/0.35 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', powersetE)).
% 0.20/0.35 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setunionI)).
% 0.20/0.35 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setunionE)).
% 0.20/0.35 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', subPowSU)).
% 0.20/0.35 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', uniqinunit)).
% 0.20/0.35 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', notinsingleton)).
% 0.20/0.35 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', eqinunit)).
% 0.20/0.35 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', singletonsswitch)).
% 0.20/0.35 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', upairsetE)).
% 0.20/0.35 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', upairsetIL)).
% 0.20/0.35 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', upairsetIR)).
% 0.20/0.35 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', vacuousDall)).
% 0.20/0.35 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', quantDeMorgan1)).
% 0.20/0.35 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', quantDeMorgan2)).
% 0.20/0.35 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', quantDeMorgan3)).
% 0.20/0.35 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', quantDeMorgan4)).
% 0.20/0.35 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', prop2setI)).
% 0.20/0.35 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', prop2set2propI)).
% 0.20/0.35 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', notdexE)).
% 0.20/0.35 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', notdallE)).
% 0.20/0.35 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', inCongP)).
% 0.20/0.35 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', in__Cong)).
% 0.20/0.35 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', emptyset__Cong)).
% 0.20/0.35 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setadjoin__Cong)).
% 0.20/0.35 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', powerset__Cong)).
% 0.20/0.35 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setunion__Cong)).
% 0.20/0.35 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', omega__Cong)).
% 0.20/0.35 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', subsetI1)).
% 0.20/0.35 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', eqimpsubset2)).
% 0.20/0.35 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', eqimpsubset1)).
% 0.20/0.35 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', subsetI2)).
% 0.20/0.35 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', emptysetsubset)).
% 0.20/0.35 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', subsetE)).
% 0.20/0.35 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', subsetE2)).
% 0.20/0.35 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', notsubsetI)).
% 0.20/0.35 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', notequalI1)).
% 0.20/0.35 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', notequalI2)).
% 0.20/0.35 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', subsetRefl)).
% 0.20/0.35 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', subsetTrans)).
% 0.20/0.35 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setadjoinSub)).
% 0.20/0.35 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setadjoinSub2)).
% 0.20/0.35 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', subset2powerset)).
% 0.20/0.35 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setextsub)).
% 0.20/0.35 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', subsetemptysetimpeq)).
% 0.20/0.35 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', powersetI1)).
% 0.20/0.35 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', powersetE1)).
% 0.20/0.35 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', inPowerset)).
% 0.20/0.35 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', powersetsubset)).
% 0.20/0.35 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binunionIL)).
% 0.20/0.35 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', upairset2IR)).
% 0.20/0.35 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binunionIR)).
% 0.20/0.35 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binunionEcases)).
% 0.20/0.35 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binunionE)).
% 0.20/0.35 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binunionLsub)).
% 0.20/0.35 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binunionRsub)).
% 0.20/0.35 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binintersectI)).
% 0.20/0.35 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binintersectSubset5)).
% 0.20/0.35 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binintersectEL)).
% 0.20/0.35 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binintersectLsub)).
% 0.20/0.35 thf(binintersectSubset2, axiom, ((binintersectSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binintersectSubset2)).
% 0.20/0.35 thf(binintersectSubset3, axiom, ((binintersectSubset3)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binintersectSubset3)).
% 0.20/0.35 thf(binintersectER, axiom, ((binintersectER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binintersectER)).
% 0.20/0.35 thf(disjointsetsI1, axiom, ((disjointsetsI1)<=>![X4:$i, X5:$i]:((~(?[X2:$i]:(((in @ X2 @ X4)&(in @ X2 @ X5))))=>((binintersect @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', disjointsetsI1)).
% 0.20/0.35 thf(binintersectRsub, axiom, ((binintersectRsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binintersectRsub)).
% 0.20/0.35 thf(binintersectSubset4, axiom, ((binintersectSubset4)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>((binintersect @ X4 @ X5)=(X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binintersectSubset4)).
% 0.20/0.35 thf(binintersectSubset1, axiom, ((binintersectSubset1)<=>![X4:$i, X5:$i]:((((binintersect @ X4 @ X5)=(X4))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', binintersectSubset1)).
% 0.20/0.35 thf(bs114d, axiom, ((bs114d)<=>![X4:$i, X5:$i, X7:$i]:(((binintersect @ X4 @ (binunion @ X5 @ X7))=(binunion @ (binintersect @ X4 @ X5) @ (binintersect @ X4 @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', bs114d)).
% 0.20/0.35 thf(setminusI, axiom, ((setminusI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setminusI)).
% 0.20/0.35 thf(setminusEL, axiom, ((setminusEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setminusEL)).
% 0.20/0.35 thf(setminusER, axiom, ((setminusER)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (setminus @ X4 @ X5))=>~((in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setminusER)).
% 0.20/0.35 thf(setminusSubset2, axiom, ((setminusSubset2)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((setminus @ X4 @ X5)=(emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setminusSubset2)).
% 0.20/0.35 thf(setminusERneg, axiom, ((setminusERneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setminusERneg)).
% 0.20/0.35 thf(setminusELneg, axiom, ((setminusELneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ (setminus @ X4 @ X5)))=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setminusELneg)).
% 0.20/0.35 thf(setminusILneg, axiom, ((setminusILneg)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setminusILneg)).
% 0.20/0.35 thf(setminusIRneg, axiom, ((setminusIRneg)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>~((in @ X2 @ (setminus @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setminusIRneg)).
% 0.20/0.35 thf(setminusLsub, axiom, ((setminusLsub)<=>![X4:$i, X5:$i]:((subset @ (setminus @ X4 @ X5) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setminusLsub)).
% 0.20/0.35 thf(setminusSubset1, axiom, ((setminusSubset1)<=>![X4:$i, X5:$i]:((((setminus @ X4 @ X5)=(emptyset))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setminusSubset1)).
% 0.20/0.35 thf(symdiffE, axiom, ((symdiffE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (symdiff @ X4 @ X5))=>![X20:$o]:((((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(X20)))=>((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(X20)))=>(X20))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', symdiffE)).
% 0.20/0.35 thf(symdiffI1, axiom, ((symdiffI1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', symdiffI1)).
% 0.20/0.35 thf(symdiffI2, axiom, ((symdiffI2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ (symdiff @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', symdiffI2)).
% 0.20/0.35 thf(symdiffIneg1, axiom, ((symdiffIneg1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', symdiffIneg1)).
% 0.20/0.35 thf(symdiffIneg2, axiom, ((symdiffIneg2)<=>![X4:$i, X5:$i, X2:$i]:((~((in @ X2 @ X4))=>(~((in @ X2 @ X5))=>~((in @ X2 @ (symdiff @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', symdiffIneg2)).
% 0.20/0.35 thf(secondinupair, axiom, ((secondinupair)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', secondinupair)).
% 0.20/0.35 thf(setukpairIL, axiom, ((setukpairIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setukpairIL)).
% 0.20/0.35 thf(setukpairIR, axiom, ((setukpairIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setukpairIR)).
% 0.20/0.35 thf(singletonsubset, axiom, ((singletonsubset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(subset @ (setadjoin @ X2 @ emptyset) @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', singletonsubset)).
% 0.20/0.35 thf(singletoninpowerset, axiom, ((singletoninpowerset)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', singletoninpowerset)).
% 0.20/0.35 thf(singletoninpowunion, axiom, ((singletoninpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ (setadjoin @ X2 @ emptyset) @ (powerset @ (binunion @ X4 @ X5)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', singletoninpowunion)).
% 0.20/0.35 thf(upairset2E, axiom, ((upairset2E)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', upairset2E)).
% 0.20/0.35 thf(upairsubunion, axiom, ((upairsubunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (binunion @ X4 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', upairsubunion)).
% 0.20/0.35 thf(upairinpowunion, axiom, ((upairinpowunion)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', upairinpowunion)).
% 0.20/0.35 thf(ubforcartprodlem1, axiom, ((ubforcartprodlem1)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(subset @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X4 @ X5)))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', ubforcartprodlem1)).
% 0.20/0.35 thf(ubforcartprodlem2, axiom, ((ubforcartprodlem2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5))))))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', ubforcartprodlem2)).
% 0.20/0.35 thf(setunionE2, axiom, ((setunionE2)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>?[X21:$i]:(((in @ X21 @ X4)&(in @ X2 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setunionE2)).
% 0.20/0.35 thf(setunionsingleton1, axiom, ((setunionsingleton1)<=>![X4:$i]:((subset @ (setunion @ (setadjoin @ X4 @ emptyset)) @ X4))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setunionsingleton1)).
% 0.20/0.35 thf(setunionsingleton2, axiom, ((setunionsingleton2)<=>![X4:$i]:((subset @ X4 @ (setunion @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setunionsingleton2)).
% 0.20/0.35 thf(setunionsingleton, axiom, ((setunionsingleton)<=>![X2:$i]:(((setunion @ (setadjoin @ X2 @ emptyset))=(X2)))), file('/export/starexec/sandbox2/tmp/tmp.EDJ5ofAVWm/E---3.1_2708346.p', setunionsingleton)).
% 0.20/0.35 thf(c_0_161, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 0.20/0.35 thf(c_0_162, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 0.20/0.35 thf(c_0_163, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 0.20/0.35 thf(c_0_164, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 0.20/0.35 thf(c_0_165, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 0.20/0.35 thf(c_0_166, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 0.20/0.35 thf(c_0_167, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 0.20/0.35 thf(c_0_168, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 0.20/0.35 thf(c_0_169, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 0.20/0.35 thf(c_0_170, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 0.20/0.35 thf(c_0_171, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 0.20/0.35 thf(c_0_172, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 0.20/0.35 thf(c_0_173, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 0.20/0.35 thf(c_0_174, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 0.20/0.35 thf(c_0_175, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 0.20/0.35 thf(c_0_176, plain, ((iskpair)=(^[Z0:$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])).
% 0.20/0.35 thf(c_0_177, plain, ((kpair)=(^[Z0:$i, Z1:$i]:(setadjoin @ (setadjoin @ Z0 @ emptyset) @ (setadjoin @ (setadjoin @ Z0 @ (setadjoin @ Z1 @ emptyset)) @ emptyset)))), inference(fof_simplification,[status(thm)],[kpair])).
% 0.20/0.35 thf(c_0_178, plain, ((singletonprop)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X4)=>((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3))))))))=>(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(singleton @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[singletonprop])).
% 0.20/0.35 thf(c_0_179, plain, ((singleton)=(^[Z0:$i]:(?[X2:$i]:((((in @ X2 @ Z0))&(((Z0)=(setadjoin @ X2 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[singleton])).
% 0.20/0.35 thf(c_0_180, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X477:$i]:((((in @ X477 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X477 @ emptyset))))))))), inference(fof_simplification,[status(thm)],[ex1])).
% 0.20/0.35 thf(c_0_181, 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)=>((upairinpowunion)=>((ubforcartprodlem1)=>((ubforcartprodlem2)=>((ubforcartprodlem3)=>((cartprodpairin)=>((cartprodmempair1)=>((cartprodmempair)=>((setunionE2)=>((setunionsingleton1)=>((setunionsingleton2)=>((setunionsingleton)=>((singletonprop)=>![X4:$i, X1:$i > $o]:(((ex1 @ X4 @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[ex1E1])).
% 0.20/0.35 thf(c_0_182, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X442:$i]:(((((X6 @ X2 @ X442)))&(![X443:$i]:(((((X6 @ X2 @ X443)))=>(((X442)=(X443)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_161, c_0_162])).
% 0.20/0.35 thf(c_0_183, plain, ((descrp)=(![X1:$i > $o]:((((?[X444:$i]:(((((X1 @ X444)))&(![X445:$i]:(((((X1 @ X445)))=>(((X444)=(X445))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_163, c_0_162])).
% 0.20/0.35 thf(c_0_184, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 0.20/0.35 thf(c_0_185, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 0.20/0.35 thf(c_0_186, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 0.20/0.35 thf(c_0_187, plain, ((exuE1)=(![X1:$i > $o]:((((?[X446:$i]:(((((X1 @ X446)))&(![X447:$i]:(((((X1 @ X447)))=>(((X446)=(X447))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_164, c_0_162])).
% 0.20/0.35 thf(c_0_188, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X448:$i]:(((((X1 @ X448)))&(![X449:$i]:(((((X1 @ X449)))=>(((X448)=(X449))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_165, c_0_162])).
% 0.20/0.35 thf(c_0_189, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 0.20/0.35 thf(c_0_190, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_166])).
% 0.20/0.35 thf(c_0_191, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_167, c_0_166])).
% 0.20/0.35 thf(c_0_192, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_166])).
% 0.20/0.35 thf(c_0_193, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 0.20/0.35 thf(c_0_194, plain, ((exuE2)=(![X1:$i > $o]:((((?[X450:$i]:(((((X1 @ X450)))&(![X451:$i]:(((((X1 @ X451)))=>(((X450)=(X451))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_168, c_0_162])).
% 0.20/0.35 thf(c_0_195, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_166])).
% 0.20/0.35 thf(c_0_196, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 0.20/0.35 thf(c_0_197, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X452:$i]:(((((X1 @ X452)))&(![X453:$i]:(((((X1 @ X453)))=>(((X452)=(X453)))))))))))))), inference(apply_def,[status(thm)],[c_0_169, c_0_162])).
% 0.20/0.35 thf(c_0_198, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X454:$i]:(((((X1 @ X454)))&(![X455:$i]:(((((X1 @ X455)))=>(((X454)=(X455)))))))))))))))), inference(apply_def,[status(thm)],[c_0_170, c_0_162])).
% 0.20/0.35 thf(c_0_199, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X456:$i]:(((((X1 @ X456)))&(![X457:$i]:(((((X1 @ X457)))=>(((X456)=(X457)))))))))))))), inference(apply_def,[status(thm)],[c_0_171, c_0_162])).
% 0.20/0.35 thf(c_0_200, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X458:$i]:(((((X1 @ X458)))&(![X459:$i]:(((((X1 @ X459)))=>(((X458)=(X459))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_172, c_0_162])).
% 0.20/0.35 thf(c_0_201, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X460:$i]:(((((X1 @ X460)))&(![X461:$i]:(((((X1 @ X461)))=>(((X460)=(X461))))))))))<=>((?[X462:$i]:(((((X17 @ X462)))&(![X463:$i]:(((((X17 @ X463)))=>(((X462)=(X463)))))))))))))))), inference(apply_def,[status(thm)],[c_0_173, c_0_162])).
% 0.20/0.35 thf(c_0_202, plain, ((exuEu)=(![X1:$i > $o]:((((?[X464:$i]:(((((X1 @ X464)))&(![X465:$i]:(((((X1 @ X465)))=>(((X464)=(X465))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_174, c_0_162])).
% 0.20/0.35 thf(c_0_203, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X466:$i]:(((((X1 @ X466)))&(![X467:$i]:(((((X1 @ X467)))=>(((X466)=(X467))))))))))=>((((?[X468:$i]:(((((X17 @ X468)))&(![X469:$i]:(((((X17 @ X469)))=>(((X468)=(X469))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_175, c_0_162])).
% 0.20/0.35 thf(c_0_204, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 0.20/0.35 thf(c_0_205, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 0.20/0.35 thf(c_0_206, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 0.20/0.35 thf(c_0_207, axiom, ((kpairiskpair)=(![X2:$i, X3:$i]:((?[X470:$i]:((((in @ X470 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(?[X471:$i]:((((in @ X471 @ (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 @ X470 @ emptyset) @ (setadjoin @ (setadjoin @ X470 @ (setadjoin @ X471 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[kpairiskpair, c_0_176])).
% 0.20/0.35 thf(c_0_208, axiom, ((kpairp)=(![X2:$i, X3:$i]:((?[X472:$i]:((((in @ X472 @ (setunion @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))&(?[X473:$i]:((((in @ X473 @ (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 @ X472 @ emptyset) @ (setadjoin @ (setadjoin @ X472 @ (setadjoin @ X473 @ emptyset)) @ emptyset))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[kpairp, c_0_176]), c_0_177])).
% 0.20/0.35 thf(c_0_209, axiom, ((ubforcartprodlem3)=(![X4:$i, X5:$i, X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X4 @ X5)))))))))))), inference(apply_def,[status(thm)],[ubforcartprodlem3, c_0_177])).
% 0.20/0.35 thf(c_0_210, axiom, ((cartprodpairin)=(![X4:$i, X5:$i, X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X5))=>((in @ (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)) @ (cartprod @ X4 @ X5)))))))))), inference(apply_def,[status(thm)],[cartprodpairin, c_0_177])).
% 0.20/0.35 thf(c_0_211, axiom, ((cartprodmempair1)=(![X4:$i, X5:$i, X18:$i]:((((in @ X18 @ (cartprod @ X4 @ X5)))=>(?[X2:$i]:((((in @ X2 @ X4))&(?[X3:$i]:((((in @ X3 @ X5))&(((X18)=(setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset)))))))))))))), inference(apply_def,[status(thm)],[cartprodmempair1, c_0_177])).
% 0.20/0.35 thf(c_0_212, axiom, ((cartprodmempair)=(![X4:$i, X5:$i, X18:$i]:((((in @ X18 @ (cartprod @ X4 @ X5)))=>((?[X474:$i]:((((in @ X474 @ (setunion @ X18)))&(?[X475:$i]:((((in @ X475 @ (setunion @ X18)))&(((X18)=(setadjoin @ (setadjoin @ X474 @ emptyset) @ (setadjoin @ (setadjoin @ X474 @ (setadjoin @ X475 @ emptyset)) @ emptyset))))))))))))))), inference(apply_def,[status(thm)],[cartprodmempair, c_0_176])).
% 0.20/0.35 thf(c_0_213, plain, ((singletonprop)=(![X4:$i, X1:$i > $o]:(((![X2:$i]:((((in @ X2 @ X4))=>(![X3:$i]:((((in @ X3 @ X4))=>((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))))=>(((?[X2:$i]:((((in @ X2 @ X4))&((X1 @ X2)))))=>((?[X476:$i]:((((in @ X476 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))&(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(setadjoin @ X476 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[c_0_178, c_0_179])).
% 0.20/0.35 thf(c_0_214, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X477:$i]:((((in @ X477 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X477 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_180, c_0_179])).
% 0.20/0.35 thf(c_0_215, plain, ((epred1_0)<=>![X507:$i]:(?[X508:$i]:((((![X509:$i]:(((in @ X509 @ X508)=>![X510:$i]:(((in @ X510 @ X509)=>(in @ X510 @ X507)))))&![X511:$i, X512:$i]:((((in @ X511 @ X507)&(in @ X512 @ X507))=>(![X513:$i]:(((in @ X513 @ X508)=>((in @ X511 @ X513)<=>(in @ X512 @ X513))))=>((X511)=(X512))))))&![X514:$i, X515:$i]:((((in @ X514 @ X508)&(in @ X515 @ X508))=>(![X516:$i]:(((in @ X516 @ X514)=>(in @ X516 @ X515)))|![X517:$i]:(((in @ X517 @ X515)=>(in @ X517 @ X514)))))))&![X518:$i]:(((![X519:$i]:(((in @ X519 @ X518)=>(in @ X519 @ X507)))&?[X520:$i]:((in @ X520 @ X518)))=>?[X521:$i, X522:$i]:(((((in @ X521 @ X508)&(in @ X522 @ X518))&~(?[X523:$i]:(((in @ X523 @ X521)&(in @ X523 @ X518)))))&![X524:$i]:(((in @ X524 @ X508)=>(![X525:$i]:(((in @ X525 @ X524)=>(in @ X525 @ X521)))|(in @ X522 @ X524)))))))))))), introduced(definition)).
% 0.20/0.35 thf(c_0_216, negated_conjecture, ~((![X478:$i, X479:$i]:((![X480:$i]:(((in @ X480 @ X478)<=>(in @ X480 @ X479)))=>((X478)=(X479))))=>(![X481:$i]:(~(in @ X481 @ emptyset))=>(![X482:$i, X483:$i, X484:$i]:(((in @ X484 @ (setadjoin @ X482 @ X483))<=>(((X484)=(X482))|(in @ X484 @ X483))))=>(![X485:$i, X486:$i]:(((in @ X486 @ (powerset @ X485))<=>![X487:$i]:(((in @ X487 @ X486)=>(in @ X487 @ X485)))))=>(![X488:$i, X489:$i]:(((in @ X489 @ (setunion @ X488))<=>?[X490:$i]:(((in @ X489 @ X490)&(in @ X490 @ X488)))))=>((in @ emptyset @ omega)=>(![X491:$i]:(((in @ X491 @ omega)=>(in @ (setadjoin @ X491 @ X491) @ omega)))=>(![X492:$i]:((((in @ emptyset @ X492)&![X493:$i]:((((in @ X493 @ omega)&(in @ X493 @ X492))=>(in @ (setadjoin @ X493 @ X493) @ X492))))=>![X494:$i]:(((in @ X494 @ omega)=>(in @ X494 @ X492)))))=>(![X495:$i > $i > $o, X496:$i]:((![X497:$i]:(((in @ X497 @ X496)=>?[X498:$i]:(((X495 @ X497 @ X498)&![X499:$i]:(((X495 @ X497 @ X499)=>((X498)=(X499))))))))=>?[X500:$i]:(![X501:$i]:(((in @ X501 @ X500)<=>?[X502:$i]:(((in @ X502 @ X496)&(X495 @ X502 @ X501))))))))=>(![X503:$i]:((?[X504:$i]:((in @ X504 @ X503))=>?[X505:$i]:(((in @ X505 @ X503)&~(?[X506:$i]:(((in @ X506 @ X505)&(in @ X506 @ X503))))))))=>((epred1_0)=>(![X526:$i > $o]:((?[X527:$i]:(((X526 @ X527)&![X528:$i]:(((X526 @ X528)=>((X527)=(X528))))))=>(X526 @ (descr @ (^[Z0:$i]:(X526 @ Z0))))))=>(![X529:$i, X530:$i > $o, X531:$i]:(((in @ X531 @ X529)=>((X530 @ X531)=>(in @ X531 @ (dsetconstr @ X529 @ X530)))))=>(![X532:$i, X533:$i > $o, X534:$i]:(((in @ X534 @ (dsetconstr @ X532 @ X533))=>(in @ X534 @ X532)))=>(![X535:$i, X536:$i > $o, X537:$i]:(((in @ X537 @ (dsetconstr @ X535 @ X536))=>(X536 @ X537)))=>(![X538:$i > $o]:((?[X539:$i]:(((X538 @ X539)&![X540:$i]:(((X538 @ X540)=>((X539)=(X540))))))=>?[X541:$i]:(((X538 @ X541)&![X542:$i]:(((X538 @ X542)=>((X541)=(X542))))))))=>(![X543:$o, X544:$i]:(((in @ X544 @ (prop2set @ ((X543))))=>(X543)))=>(![X545:$i]:(((in @ X545 @ emptyset)=>![X546:$o]:((X546))))=>(![X547:$i]:(((in @ X547 @ emptyset)=>~($true)))=>(![X548:$i]:(~(in @ X548 @ emptyset))=>(![X549:$i > $o]:((?[X550:$i]:(((X549 @ X550)&![X551:$i]:(((X549 @ X551)=>((X550)=(X551))))))=>?[X552:$i]:((X549 @ X552))))=>(![X553:$i, X554:$i]:((![X555:$i]:(((in @ X555 @ X553)=>(in @ X555 @ X554)))=>(![X556:$i]:(((in @ X556 @ X554)=>(in @ X556 @ X553)))=>((X553)=(X554)))))=>(![X557:$i]:((![X558:$i]:(~(in @ X558 @ X557))=>((X557)=(emptyset))))=>(![X559:$i]:((![X560:$i]:(~(in @ X560 @ X559))=>((X559)=(emptyset))))=>(![X561:$i, X562:$i > $o, X563:$i]:(((in @ X563 @ X561)=>((in @ X563 @ (dsetconstr @ X561 @ X562))<=>(X562 @ X563))))=>(![X564:$i]:((((X564)!=(emptyset))=>?[X565:$i]:((in @ X565 @ X564))))=>(![X566:$i, X567:$i > $o, X568:$i]:(((in @ X568 @ X566)=>((X567 @ X568)=>((dsetconstr @ X566 @ X567)!=(emptyset)))))=>(![X569:$i]:((?[X570:$i]:((in @ X570 @ X569))=>((X569)!=(emptyset))))=>(![X571:$i, X572:$i]:((in @ 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(setadjoin @ X916 @ emptyset) @ (setadjoin @ (setadjoin @ X916 @ (setadjoin @ X917 @ emptyset)) @ emptyset)))))))))=>(![X918:$i, X919:$i]:(((in @ X919 @ (setunion @ X918))=>?[X920:$i]:(((in @ X920 @ X918)&(in @ X919 @ X920)))))=>(![X921:$i]:((subset @ (setunion @ (setadjoin @ X921 @ emptyset)) @ X921))=>(![X922:$i]:((subset @ X922 @ (setunion @ (setadjoin @ X922 @ emptyset))))=>(![X923:$i]:(((setunion @ (setadjoin @ X923 @ emptyset))=(X923)))=>(![X924:$i, X925:$i > $o]:((![X926:$i]:(((in @ X926 @ X924)=>![X927:$i]:(((in @ X927 @ X924)=>((X925 @ X926)=>((X925 @ X927)=>((X926)=(X927))))))))=>(?[X928:$i]:(((in @ X928 @ X924)&(X925 @ X928)))=>?[X929:$i]:(((in @ X929 @ (dsetconstr @ X924 @ X925))&((dsetconstr @ X924 @ X925)=(setadjoin @ X929 @ emptyset)))))))=>![X4:$i, X1:$i > $o]:((?[X930:$i]:(((in @ X930 @ (dsetconstr @ X4 @ X1))&((dsetconstr @ X4 @ X1)=(setadjoin @ X930 @ emptyset))))=>?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_181]), setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_182]), foundationAx]), wellorderingAx]), c_0_183]), c_0_184]), c_0_185]), c_0_186]), c_0_187]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_188]), setext]), emptyI]), noeltsimpempty]), c_0_189]), c_0_190]), c_0_191]), c_0_192]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_193]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_194]), c_0_195]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_196]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_197]), c_0_198]), c_0_199]), inCongP]), in__Cong]), c_0_200]), c_0_201]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_202]), c_0_203]), c_0_204]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_205]), c_0_206]), 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_207]), c_0_208]), singletonsubset]), singletoninpowerset]), singletoninpowunion]), upairset2E]), upairsubunion]), upairinpowunion]), ubforcartprodlem1]), ubforcartprodlem2]), c_0_209]), c_0_210]), c_0_211]), c_0_212]), setunionE2]), setunionsingleton1]), setunionsingleton2]), setunionsingleton]), c_0_213]), c_0_214])])]), c_0_215])).
% 0.20/0.35 thf(c_0_217, negated_conjecture, ![X931:$i, X932:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X944:$i, X945:$i, X947:$i, X948:$i, X949:$i, X950:$i, X951:$i, X953:$i, X954:$i > $i > $o, X955:$i, X957:$i, X960:$i, X962:$i, X963:$i, X964:$i, X965:$i, X967:$i, X968:$i > $o, X969:$i, X971:$i, X972:$i > $o, X973:$i, X974:$i, X975:$i > $o, X976:$i, X977:$i, X978:$i > $o, X979:$i, X980:$i > $o, X981:$i, X984:$i, X985:$o, X986:$i, X987:$i, X988:$o, X989:$i, X990:$i, X991:$i > $o, X992:$i, X995:$i, X996:$i, X999:$i, X1001:$i, X1003:$i, X1004:$i > $o, X1005:$i, X1006:$i, X1008:$i, X1009:$i > $o, X1010:$i, X1011:$i, X1012:$i, X1013:$i, X1014:$i, X1015:$i, X1016:$i, X1017:$i, X1018:$i, X1019:$i, X1020:$i, X1021:$o, X1022:$i, X1023:$i, X1024:$i, X1025:$i, X1026:$i, X1027:$i, X1029:$i, X1030:$i, X1031:$i, X1032:$i, X1033:$i, X1034:$i, X1035:$i, X1036:$i, X1037:$i, X1038:$i, X1039:$o, X1041:$i, X1042:$i, X1043:$i > $o, X1044:$i, X1047:$i, X1048:$i, X1049:$i, X1051:$i, X1052:$i, X1053:$i, X1054:$i, X1055:$i, X1056:$i, X1057:$i, X1058:$i, X1059:$i, X1060:$i, X1061:$i, X1062:$i, X1063:$i, X1064:$i, X1065:$i, X1066:$i, X1067:$i > $o, X1068:$i, X1069:$i > $o, X1070:$i, X1071:$i, X1072:$i > $o, X1073:$i, X1075:$i, X1076:$i > $o, X1078:$i, X1079:$i, X1080:$i > $o, X1082:$i, X1083:$i, X1084:$i > $o, X1085:$i, X1087:$o, X1088:$o, X1089:$i, X1090:$i > $o, X1092:$i, X1093:$i, X1094:$i > $o, X1095:$i, X1097:$i > $o, X1098:$i, X1101:$i, X1102:$i > $o, X1103:$i, X1107:$i, X1108:$i > $o, X1109:$i, X1112:$i, X1113:$i, X1114:$i, X1115:$i, X1116:$i, X1117:$i, X1118:$i, X1119:$i, X1120:$i, X1121:$i > $o, X1122:$i, X1124:$i, X1125:$i, X1126:$i > $o, X1127:$i > $o, X1130:$i, X1133:$i, X1134:$i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1141:$i, X1142:$i, X1143:$i, X1144:$i, X1145:$i, X1146:$i > $o, X1147:$i, X1149:$i, X1150:$i, X1151:$i > $o, X1152:$i > $o, X1155:$i, X1157:$i, X1159:$i, X1160:$i, X1161:$i > $o, X1162:$i > $o, X1165:$i, X1166:$i, X1168:$i, X1169:$i, X1170:$i, X1171:$i, X1172:$i, X1173:$i, X1175:$i, X1176:$i, X1177:$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 > $o, X1213:$i, X1214:$i > $o, X1215:$i, X1216:$i, X1217:$i, X1218:$i, X1219:$i, X1220:$i, X1221:$i, X1222:$i, X1223:$i, X1224:$i, X1225:$i, X1226:$o, X1227:$i, X1228:$i, X1229:$i, X1230:$i, X1231:$i, X1232:$i, X1233:$i, X1234:$i, X1235:$i, X1236:$i, X1237:$i, X1238:$i, X1239:$i, X1240:$i, X1241:$i, X1242:$i, X1243:$i, X1244:$i, X1245:$i, X1246:$i, X1247:$i, X1248:$i, X1249:$i, X1250:$i, X1251:$i, X1252:$i, X1253:$i, X1255:$i, X1256:$i, X1257:$i, X1258:$i, X1259:$i, X1260:$i, X1261:$i, X1262:$i, X1263:$i, X1264:$i, X1265:$i, X1266:$i, X1267:$i, X1268:$i, X1269:$i, X1270:$i, X1271:$i, X1272:$i, X1273:$i, X1274:$i, X1275:$i, X1276:$i, X1277:$i, X1278:$i, X1279:$i, X1280:$i, X1281:$i, X1282:$i, X1283:$i, X1284:$i, X1285:$i, X1286:$i, X1287:$i, X1288:$i, X1289:$i, X1290:$i, X1291:$i, X1292:$i, X1293:$i, X1294:$o, X1295:$i, X1296:$i, X1297:$i, X1298:$i, X1299:$i, X1300:$i, X1301:$i, X1302:$i, X1303:$i, X1304:$i, X1305:$i, X1306:$i, X1307:$i, X1308:$i, X1309:$i, X1310:$i, X1311:$i, X1312:$i, X1313:$i, X1314:$i, X1317:$i, X1318:$i, X1321:$i, X1322:$i, X1323:$i, X1324:$i, X1325:$i, X1326:$i, X1327:$i, X1328:$i, X1329:$i, X1330:$i, X1331:$i, X1332:$i, X1333:$i, X1334:$i, X1335:$i, X1336:$i, X1337:$i, X1338:$i, X1339:$i, X1340:$i, X1341:$i, X1342:$i, X1343:$i, X1344:$i, X1345:$i, X1346:$i, X1347:$i, X1348:$i, X1349:$i, X1350:$i, X1351:$i, X1352:$i, X1353:$i, X1354:$i, X1355:$i, X1356:$i, X1357:$i, X1360:$i, X1361:$i, X1362:$i, X1365:$i, X1366:$i, X1368:$i, X1369:$i, X1370:$i, X1371:$i, X1372:$i > $o, X1375:$i, X1380:$i]:((((~(in @ (esk1_2 @ X931 @ X932) @ X931)|~(in @ (esk1_2 @ X931 @ X932) @ X932)|((X931)=(X932)))&((in @ (esk1_2 @ X931 @ X932) @ X931)|(in @ (esk1_2 @ X931 @ X932) @ X932)|((X931)=(X932))))&(~(in @ X934 @ emptyset)&(((~(in @ X937 @ (setadjoin @ X935 @ X936))|(((X937)=(X935))|(in @ X937 @ X936)))&((((X937)!=(X935))|(in @ X937 @ (setadjoin @ X935 @ X936)))&(~(in @ X937 @ X936)|(in @ X937 @ (setadjoin @ X935 @ X936)))))&(((~(in @ X939 @ (powerset @ X938))|(~(in @ X940 @ X939)|(in @ X940 @ X938)))&(((in @ (esk2_2 @ X941 @ X942) @ X942)|(in @ X942 @ (powerset @ X941)))&(~(in @ (esk2_2 @ X941 @ X942) @ X941)|(in @ X942 @ (powerset @ X941)))))&(((((in @ X945 @ (esk3_2 @ X944 @ X945))|~(in @ X945 @ (setunion @ X944)))&((in @ (esk3_2 @ X944 @ X945) @ X944)|~(in @ X945 @ (setunion @ X944))))&(~(in @ X948 @ X949)|~(in @ X949 @ X947)|(in @ X948 @ (setunion @ X947))))&((in @ emptyset @ omega)&((~(in @ X950 @ omega)|(in @ (setadjoin @ X950 @ X950) @ omega))&(((((in @ (esk4_1 @ X951) @ omega)|~(in @ emptyset @ X951)|(~(in @ X953 @ omega)|(in @ X953 @ X951)))&((in @ (esk4_1 @ X951) @ X951)|~(in @ emptyset @ X951)|(~(in @ X953 @ omega)|(in @ X953 @ X951))))&(~(in @ (setadjoin @ (esk4_1 @ X951) @ (esk4_1 @ X951)) @ X951)|~(in @ emptyset @ X951)|(~(in @ X953 @ omega)|(in @ X953 @ X951))))&((((((in @ (esk8_3 @ X954 @ X955 @ X960) @ X955)|~(in @ X960 @ (esk7_2 @ X954 @ X955))|(in @ (esk5_2 @ X954 @ X955) @ X955))&((X954 @ (esk8_3 @ X954 @ X955 @ X960) @ X960)|~(in @ X960 @ (esk7_2 @ X954 @ X955))|(in @ (esk5_2 @ X954 @ X955) @ X955)))&(~(in @ X963 @ X955)|~(X954 @ X963 @ X962)|(in @ X962 @ (esk7_2 @ X954 @ X955))|(in @ (esk5_2 @ X954 @ X955) @ X955)))&(((((in @ (esk8_3 @ X954 @ X955 @ X960) @ X955)|~(in @ X960 @ (esk7_2 @ X954 @ X955))|((X954 @ (esk5_2 @ X954 @ X955) @ (esk6_3 @ X954 @ X955 @ X957))|~(X954 @ (esk5_2 @ X954 @ X955) @ X957)))&((X954 @ (esk8_3 @ X954 @ X955 @ X960) @ X960)|~(in @ X960 @ (esk7_2 @ X954 @ X955))|((X954 @ (esk5_2 @ X954 @ X955) @ (esk6_3 @ X954 @ X955 @ X957))|~(X954 @ (esk5_2 @ X954 @ X955) @ X957))))&(~(in @ X963 @ X955)|~(X954 @ X963 @ X962)|(in @ X962 @ (esk7_2 @ X954 @ X955))|((X954 @ (esk5_2 @ X954 @ X955) @ (esk6_3 @ X954 @ X955 @ X957))|~(X954 @ (esk5_2 @ X954 @ X955) @ X957))))&((((in @ (esk8_3 @ X954 @ X955 @ X960) @ X955)|~(in @ X960 @ (esk7_2 @ X954 @ X955))|(((X957)!=(esk6_3 @ X954 @ X955 @ X957))|~(X954 @ (esk5_2 @ X954 @ X955) @ X957)))&((X954 @ (esk8_3 @ X954 @ X955 @ X960) @ X960)|~(in @ X960 @ (esk7_2 @ X954 @ X955))|(((X957)!=(esk6_3 @ X954 @ X955 @ X957))|~(X954 @ (esk5_2 @ X954 @ X955) @ X957))))&(~(in @ X963 @ X955)|~(X954 @ X963 @ X962)|(in @ X962 @ (esk7_2 @ X954 @ X955))|(((X957)!=(esk6_3 @ X954 @ X955 @ X957))|~(X954 @ (esk5_2 @ X954 @ X955) @ X957))))))&((((in @ (esk9_1 @ X964) @ X964)|~(in @ X965 @ X964))&(~(in @ X967 @ (esk9_1 @ X964))|~(in @ X967 @ X964)|~(in @ X965 @ X964)))&((epred1_0)&((((X968 @ (esk10_2 @ X968 @ X969))|~(X968 @ X969)|(X968 @ (descr @ X968)))&(((X969)!=(esk10_2 @ X968 @ X969))|~(X968 @ X969)|(X968 @ (descr @ 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X1147))|~(X1146 @ X1147)|(~(X1146 @ X1149)|(~(X1146 @ X1150)|((X1149)=(X1150)))))&(((X1147)!=(esk45_2 @ X1146 @ X1147))|~(X1146 @ X1147)|(~(X1146 @ X1149)|(~(X1146 @ X1150)|((X1149)=(X1150))))))&((((((X1152 @ (esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|((X1151 @ (esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|((esk46_2 @ X1151 @ X1152)=(esk47_2 @ X1151 @ X1152)))&(((X1157)!=(esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|((X1151 @ (esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|((esk46_2 @ X1151 @ X1152)=(esk47_2 @ X1151 @ X1152))))&(((X1152 @ (esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|(((X1155)!=(esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|((esk46_2 @ X1151 @ X1152)=(esk47_2 @ X1151 @ X1152)))&(((X1157)!=(esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|(((X1155)!=(esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|((esk46_2 @ X1151 @ X1152)=(esk47_2 @ X1151 @ X1152)))))&(((((X1152 @ (esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|((X1151 @ (esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|(~(X1151 @ (esk46_2 @ X1151 @ X1152))|~(X1152 @ (esk47_2 @ X1151 @ X1152))))&(((X1157)!=(esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|((X1151 @ (esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|(~(X1151 @ (esk46_2 @ X1151 @ X1152))|~(X1152 @ (esk47_2 @ X1151 @ X1152)))))&(((X1152 @ (esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|(((X1155)!=(esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|(~(X1151 @ (esk46_2 @ X1151 @ X1152))|~(X1152 @ (esk47_2 @ X1151 @ X1152))))&(((X1157)!=(esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|(((X1155)!=(esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|(~(X1151 @ (esk46_2 @ X1151 @ X1152))|~(X1152 @ (esk47_2 @ X1151 @ X1152))))))&((((X1152 @ (esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|((X1151 @ (esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|((X1151 @ (esk46_2 @ X1151 @ X1152))|(X1152 @ (esk47_2 @ X1151 @ X1152))))&(((X1157)!=(esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|((X1151 @ (esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|((X1151 @ (esk46_2 @ X1151 @ X1152))|(X1152 @ (esk47_2 @ X1151 @ X1152)))))&(((X1152 @ (esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|(((X1155)!=(esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|((X1151 @ (esk46_2 @ X1151 @ X1152))|(X1152 @ (esk47_2 @ X1151 @ X1152))))&(((X1157)!=(esk49_3 @ X1151 @ X1152 @ X1157))|~(X1152 @ X1157)|((descr @ X1151)=(descr @ X1152))|(((X1155)!=(esk48_3 @ X1151 @ X1152 @ X1155))|~(X1151 @ X1155))|((X1151 @ (esk46_2 @ X1151 @ X1152))|(X1152 @ (esk47_2 @ X1151 @ X1152))))))))&((((in @ (esk50_4 @ X1159 @ X1160 @ X1161 @ X1162) @ X1159)|((dsetconstr @ X1159 @ X1161)=(dsetconstr @ X1160 @ X1162))|((X1159)!=(X1160)))&(((in @ (esk51_4 @ X1159 @ X1160 @ X1161 @ X1162) @ X1160)|((dsetconstr @ X1159 @ X1161)=(dsetconstr @ X1160 @ X1162))|((X1159)!=(X1160)))&((((esk50_4 @ X1159 @ X1160 @ X1161 @ X1162)=(esk51_4 @ X1159 @ X1160 @ X1161 @ X1162))|((dsetconstr @ X1159 @ X1161)=(dsetconstr @ X1160 @ X1162))|((X1159)!=(X1160)))&((~(X1161 @ (esk50_4 @ X1159 @ X1160 @ X1161 @ X1162))|~(X1162 @ (esk51_4 @ X1159 @ X1160 @ X1161 @ X1162))|((dsetconstr @ X1159 @ X1161)=(dsetconstr @ X1160 @ X1162))|((X1159)!=(X1160)))&((X1161 @ (esk50_4 @ X1159 @ X1160 @ X1161 @ X1162))|(X1162 @ (esk51_4 @ X1159 @ X1160 @ X1161 @ X1162))|((dsetconstr @ X1159 @ X1161)=(dsetconstr @ X1160 @ X1162))|((X1159)!=(X1160)))))))&((((in @ (esk52_2 @ X1165 @ X1166) @ X1165)|(subset @ X1165 @ X1166))&(~(in @ (esk52_2 @ X1165 @ X1166) @ X1166)|(subset @ X1165 @ X1166)))&((((X1168)!=(X1169))|(subset @ X1169 @ X1168))&((((X1170)!=(X1171))|(subset @ X1170 @ X1171))&((((in @ (esk53_2 @ X1172 @ X1173) @ X1172)|(subset @ X1172 @ X1173))&(~(in @ (esk53_2 @ X1172 @ X1173) @ X1173)|(subset @ X1172 @ X1173)))&((subset @ emptyset @ X1175)&((~(subset @ X1176 @ X1177)|(~(in @ X1178 @ X1176)|(in @ X1178 @ X1177)))&((~(subset @ X1179 @ X1180)|((in @ X1181 @ X1180)|~(in @ X1181 @ X1179)))&((~(in @ X1184 @ X1182)|((in @ X1184 @ X1183)|~(subset @ X1182 @ X1183)))&(((subset @ X1185 @ X1186)|((X1185)!=(X1186)))&((~(in @ X1189 @ X1187)|((in @ X1189 @ X1188)|((X1187)!=(X1188))))&((subset @ X1190 @ X1190)&((~(subset @ X1191 @ X1192)|(~(subset @ X1192 @ X1193)|(subset @ X1191 @ X1193)))&((subset @ X1195 @ (setadjoin @ X1194 @ X1195))&((~(subset @ X1196 @ X1198)|(subset @ X1196 @ (setadjoin @ X1197 @ X1198)))&((~(subset @ X1199 @ X1200)|(in @ X1199 @ (powerset @ X1200)))&((~(subset @ X1201 @ X1202)|(~(subset @ X1202 @ X1201)|((X1201)=(X1202))))&((~(subset @ X1203 @ emptyset)|((X1203)=(emptyset)))&((~(subset @ X1205 @ X1204)|(in @ X1205 @ (powerset @ X1204)))&((~(in @ X1207 @ (powerset @ X1206))|(subset @ X1207 @ X1206))&((in @ X1208 @ (powerset @ X1208))&((~(subset @ X1209 @ X1210)|(subset @ (powerset @ X1209) @ (powerset @ X1210)))&((in @ (dsetconstr @ X1211 @ X1212) @ (powerset @ X1211))&((subset @ (dsetconstr @ X1213 @ X1214) @ X1213)&((~(in @ X1217 @ X1215)|(in @ X1217 @ (binunion @ X1215 @ X1216)))&((in @ X1219 @ (setadjoin @ X1218 @ (setadjoin @ X1219 @ emptyset)))&((~(in @ X1222 @ X1221)|(in @ X1222 @ (binunion @ X1220 @ X1221)))&(((((in @ X1225 @ X1224)|(X1226)|(in @ X1225 @ X1223)|~(in @ X1225 @ (binunion @ X1223 @ X1224)))&(~(X1226)|(X1226)|(in @ X1225 @ X1223)|~(in @ X1225 @ (binunion @ X1223 @ X1224))))&(((in @ X1225 @ X1224)|(X1226)|~(X1226)|~(in @ X1225 @ (binunion @ X1223 @ X1224)))&(~(X1226)|(X1226)|~(X1226)|~(in @ X1225 @ (binunion @ X1223 @ X1224)))))&((~(in @ X1229 @ (binunion @ X1227 @ X1228))|((in @ X1229 @ X1227)|(in @ X1229 @ X1228)))&((subset @ X1230 @ (binunion @ X1230 @ X1231))&((subset @ X1233 @ (binunion @ X1232 @ X1233))&((~(in @ X1236 @ X1234)|(~(in @ X1236 @ X1235)|(in @ X1236 @ (binintersect @ X1234 @ X1235))))&((~(subset @ X1239 @ X1237)|(~(subset @ X1239 @ X1238)|(subset @ X1239 @ (binintersect @ X1237 @ X1238))))&((~(in @ X1242 @ (binintersect @ X1240 @ X1241))|(in @ X1242 @ X1240))&((subset @ (binintersect @ X1243 @ X1244) @ X1243)&((~(subset @ X1245 @ X1246)|((binintersect @ X1245 @ X1246)=(X1245)))&((((binintersect @ X1247 @ X1248)!=(X1248))|(subset @ X1248 @ X1247))&((~(in @ X1251 @ (binintersect @ X1249 @ X1250))|(in @ X1251 @ X1250))&((((in @ (esk54_2 @ X1252 @ X1253) @ X1252)|((binintersect @ X1252 @ X1253)=(emptyset)))&((in @ (esk54_2 @ X1252 @ X1253) @ X1253)|((binintersect @ X1252 @ X1253)=(emptyset))))&((subset @ (binintersect @ X1255 @ X1256) @ X1256)&((~(subset @ X1258 @ X1257)|((binintersect @ X1257 @ X1258)=(X1258)))&((((binintersect @ X1259 @ X1260)!=(X1259))|(subset @ X1259 @ X1260))&(((binintersect @ X1261 @ (binunion @ X1262 @ X1263))=(binunion @ (binintersect @ X1261 @ X1262) @ (binintersect @ X1261 @ X1263)))&((~(in @ X1266 @ X1264)|((in @ X1266 @ X1265)|(in @ X1266 @ (setminus @ X1264 @ X1265))))&((~(in @ X1269 @ (setminus @ X1267 @ X1268))|(in @ X1269 @ X1267))&((~(in @ X1272 @ (setminus @ X1270 @ X1271))|~(in @ X1272 @ X1271))&((~(subset @ X1273 @ X1274)|((setminus @ X1273 @ X1274)=(emptyset)))&(((in @ X1277 @ (setminus @ X1275 @ X1276))|(~(in @ X1277 @ X1275)|(in @ X1277 @ X1276)))&(((in @ X1280 @ (setminus @ X1278 @ X1279))|((in @ X1280 @ X1279)|~(in @ X1280 @ X1278)))&(((in @ X1283 @ X1281)|~(in @ X1283 @ (setminus @ X1281 @ X1282)))&((~(in @ X1286 @ X1285)|~(in @ X1286 @ (setminus @ X1284 @ X1285)))&((subset @ (setminus @ X1287 @ X1288) @ X1287)&((((setminus @ X1289 @ X1290)!=(emptyset))|(subset @ X1289 @ X1290))&((((~(in @ X1293 @ X1291)|(X1294)|(in @ X1293 @ X1291)|~(in @ X1293 @ (symdiff @ X1291 @ X1292)))&(((in @ X1293 @ X1292)|(X1294)|(in @ X1293 @ X1291)|~(in @ X1293 @ (symdiff @ X1291 @ X1292)))&(~(X1294)|(X1294)|(in @ X1293 @ X1291)|~(in @ X1293 @ (symdiff @ X1291 @ X1292)))))&(((~(in @ X1293 @ X1291)|(X1294)|~(in @ X1293 @ X1292)|~(in @ X1293 @ (symdiff @ X1291 @ X1292)))&(((in @ X1293 @ X1292)|(X1294)|~(in @ X1293 @ X1292)|~(in @ X1293 @ (symdiff @ X1291 @ X1292)))&(~(X1294)|(X1294)|~(in @ X1293 @ X1292)|~(in @ X1293 @ (symdiff @ X1291 @ X1292)))))&((~(in @ X1293 @ X1291)|(X1294)|~(X1294)|~(in @ X1293 @ (symdiff @ X1291 @ X1292)))&(((in @ X1293 @ X1292)|(X1294)|~(X1294)|~(in @ X1293 @ (symdiff @ X1291 @ X1292)))&(~(X1294)|(X1294)|~(X1294)|~(in @ X1293 @ (symdiff @ X1291 @ X1292)))))))&((~(in @ X1297 @ X1295)|((in @ X1297 @ X1296)|(in @ X1297 @ (symdiff @ X1295 @ X1296))))&(((in @ X1300 @ X1298)|(~(in @ X1300 @ X1299)|(in @ X1300 @ (symdiff @ X1298 @ X1299))))&((~(in @ X1303 @ X1301)|(~(in @ X1303 @ X1302)|~(in @ X1303 @ (symdiff @ X1301 @ X1302))))&(((in @ X1306 @ X1304)|((in @ X1306 @ X1305)|~(in @ X1306 @ (symdiff @ X1304 @ X1305))))&((in @ X1308 @ (setadjoin @ X1307 @ (setadjoin @ X1308 @ emptyset)))&((in @ X1309 @ (setunion @ (setadjoin @ (setadjoin @ X1309 @ emptyset) @ (setadjoin @ (setadjoin @ X1309 @ (setadjoin @ X1310 @ emptyset)) @ emptyset))))&((in @ X1312 @ (setunion @ (setadjoin @ (setadjoin @ X1311 @ emptyset) @ (setadjoin @ (setadjoin @ X1311 @ (setadjoin @ X1312 @ emptyset)) @ emptyset))))&(((in @ (esk55_2 @ X1313 @ X1314) @ (setunion @ (setadjoin @ (setadjoin @ X1313 @ emptyset) @ (setadjoin @ (setadjoin @ X1313 @ (setadjoin @ X1314 @ emptyset)) @ emptyset))))&((in @ (esk56_2 @ X1313 @ X1314) @ (setunion @ (setadjoin @ (setadjoin @ X1313 @ emptyset) @ (setadjoin @ (setadjoin @ X1313 @ (setadjoin @ X1314 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1313 @ emptyset) @ (setadjoin @ (setadjoin @ X1313 @ (setadjoin @ X1314 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk55_2 @ X1313 @ X1314) @ emptyset) @ (setadjoin @ (setadjoin @ (esk55_2 @ X1313 @ X1314) @ (setadjoin @ (esk56_2 @ X1313 @ X1314) @ emptyset)) @ emptyset)))))&(((in @ (esk57_2 @ X1317 @ X1318) @ (setunion @ (setadjoin @ (setadjoin @ X1317 @ emptyset) @ (setadjoin @ (setadjoin @ X1317 @ (setadjoin @ X1318 @ emptyset)) @ emptyset))))&((in @ (esk58_2 @ X1317 @ X1318) @ (setunion @ (setadjoin @ (setadjoin @ X1317 @ emptyset) @ (setadjoin @ (setadjoin @ X1317 @ (setadjoin @ X1318 @ emptyset)) @ emptyset))))&((setadjoin @ (setadjoin @ X1317 @ emptyset) @ (setadjoin @ (setadjoin @ X1317 @ (setadjoin @ X1318 @ emptyset)) @ emptyset))=(setadjoin @ (setadjoin @ (esk57_2 @ X1317 @ X1318) @ emptyset) @ (setadjoin @ (setadjoin @ (esk57_2 @ X1317 @ X1318) @ (setadjoin @ (esk58_2 @ X1317 @ X1318) @ emptyset)) @ emptyset)))))&((~(in @ X1322 @ X1321)|(subset @ (setadjoin @ X1322 @ emptyset) @ X1321))&((~(in @ X1324 @ X1323)|(in @ (setadjoin @ X1324 @ emptyset) @ (powerset @ X1323)))&((~(in @ X1327 @ X1325)|(in @ (setadjoin @ X1327 @ emptyset) @ (powerset @ (binunion @ X1325 @ X1326))))&((~(in @ X1330 @ (setadjoin @ X1328 @ (setadjoin @ X1329 @ emptyset)))|(((X1330)=(X1328))|((X1330)=(X1329))))&((~(in @ X1333 @ X1331)|(~(in @ X1334 @ X1332)|(subset @ (setadjoin @ X1333 @ (setadjoin @ X1334 @ emptyset)) @ (binunion @ X1331 @ X1332))))&((~(in @ X1337 @ X1335)|(~(in @ X1338 @ X1336)|(in @ (setadjoin @ X1337 @ (setadjoin @ X1338 @ emptyset)) @ (powerset @ (binunion @ X1335 @ X1336)))))&((~(in @ X1341 @ X1339)|(~(in @ X1342 @ X1340)|(subset @ (setadjoin @ (setadjoin @ X1341 @ emptyset) @ (setadjoin @ (setadjoin @ X1341 @ (setadjoin @ X1342 @ emptyset)) @ emptyset)) @ (powerset @ (binunion @ X1339 @ X1340)))))&((~(in @ X1345 @ X1343)|(~(in @ X1346 @ X1344)|(in @ (setadjoin @ (setadjoin @ X1345 @ emptyset) @ (setadjoin @ (setadjoin @ X1345 @ (setadjoin @ X1346 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1343 @ X1344))))))&((~(in @ X1349 @ X1347)|(~(in @ X1350 @ X1348)|(in @ (setadjoin @ (setadjoin @ X1349 @ emptyset) @ (setadjoin @ (setadjoin @ X1349 @ (setadjoin @ X1350 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1347 @ X1348))))))&((~(in @ X1353 @ X1351)|(~(in @ X1354 @ X1352)|(in @ (setadjoin @ (setadjoin @ X1353 @ emptyset) @ (setadjoin @ (setadjoin @ X1353 @ (setadjoin @ X1354 @ emptyset)) @ emptyset)) @ (cartprod @ X1351 @ X1352))))&((((in @ (esk59_3 @ X1355 @ X1356 @ X1357) @ X1355)|~(in @ X1357 @ (cartprod @ X1355 @ X1356)))&(((in @ (esk60_3 @ X1355 @ X1356 @ X1357) @ X1356)|~(in @ X1357 @ (cartprod @ X1355 @ X1356)))&(((X1357)=(setadjoin @ (setadjoin @ (esk59_3 @ X1355 @ X1356 @ X1357) @ emptyset) @ (setadjoin @ (setadjoin @ (esk59_3 @ X1355 @ X1356 @ X1357) @ (setadjoin @ (esk60_3 @ X1355 @ X1356 @ X1357) @ emptyset)) @ emptyset)))|~(in @ X1357 @ (cartprod @ X1355 @ X1356)))))&((((in @ (esk61_3 @ X1360 @ X1361 @ X1362) @ (setunion @ X1362))|~(in @ X1362 @ (cartprod @ X1360 @ X1361)))&(((in @ (esk62_3 @ X1360 @ X1361 @ X1362) @ (setunion @ X1362))|~(in @ X1362 @ (cartprod @ X1360 @ X1361)))&(((X1362)=(setadjoin @ (setadjoin @ (esk61_3 @ X1360 @ X1361 @ X1362) @ emptyset) @ (setadjoin @ (setadjoin @ (esk61_3 @ X1360 @ X1361 @ X1362) @ (setadjoin @ (esk62_3 @ X1360 @ X1361 @ X1362) @ emptyset)) @ emptyset)))|~(in @ X1362 @ (cartprod @ X1360 @ X1361)))))&((((in @ (esk63_2 @ X1365 @ X1366) @ X1365)|~(in @ X1366 @ (setunion @ X1365)))&((in @ X1366 @ (esk63_2 @ X1365 @ X1366))|~(in @ X1366 @ (setunion @ X1365))))&((subset @ (setunion @ (setadjoin @ X1368 @ emptyset)) @ X1368)&((subset @ X1369 @ (setunion @ (setadjoin @ X1369 @ emptyset)))&(((setunion @ (setadjoin @ X1370 @ emptyset))=(X1370))&(((((in @ (esk66_2 @ X1371 @ X1372) @ (dsetconstr @ X1371 @ X1372))|(~(in @ X1375 @ X1371)|~(X1372 @ X1375))|(in @ (esk64_2 @ X1371 @ X1372) @ X1371))&(((dsetconstr @ X1371 @ X1372)=(setadjoin @ (esk66_2 @ X1371 @ X1372) @ emptyset))|(~(in @ X1375 @ X1371)|~(X1372 @ X1375))|(in @ (esk64_2 @ X1371 @ X1372) @ X1371)))&((((in @ (esk66_2 @ X1371 @ X1372) @ (dsetconstr @ X1371 @ X1372))|(~(in @ X1375 @ X1371)|~(X1372 @ X1375))|(in @ (esk65_2 @ X1371 @ X1372) @ X1371))&(((dsetconstr @ X1371 @ X1372)=(setadjoin @ (esk66_2 @ X1371 @ X1372) @ emptyset))|(~(in @ X1375 @ X1371)|~(X1372 @ X1375))|(in @ (esk65_2 @ X1371 @ X1372) @ X1371)))&((((in @ (esk66_2 @ X1371 @ X1372) @ (dsetconstr @ X1371 @ X1372))|(~(in @ X1375 @ X1371)|~(X1372 @ X1375))|(X1372 @ (esk64_2 @ X1371 @ X1372)))&(((dsetconstr @ X1371 @ X1372)=(setadjoin @ (esk66_2 @ X1371 @ X1372) @ emptyset))|(~(in @ X1375 @ X1371)|~(X1372 @ X1375))|(X1372 @ (esk64_2 @ X1371 @ X1372))))&((((in @ (esk66_2 @ X1371 @ X1372) @ (dsetconstr @ X1371 @ X1372))|(~(in @ X1375 @ X1371)|~(X1372 @ X1375))|(X1372 @ (esk65_2 @ X1371 @ X1372)))&(((dsetconstr @ X1371 @ X1372)=(setadjoin @ (esk66_2 @ X1371 @ X1372) @ emptyset))|(~(in @ X1375 @ X1371)|~(X1372 @ X1375))|(X1372 @ (esk65_2 @ X1371 @ X1372))))&(((in @ (esk66_2 @ X1371 @ X1372) @ (dsetconstr @ X1371 @ X1372))|(~(in @ X1375 @ X1371)|~(X1372 @ X1375))|((esk64_2 @ X1371 @ X1372)!=(esk65_2 @ X1371 @ X1372)))&(((dsetconstr @ X1371 @ X1372)=(setadjoin @ (esk66_2 @ X1371 @ X1372) @ emptyset))|(~(in @ X1375 @ X1371)|~(X1372 @ X1375))|((esk64_2 @ X1371 @ X1372)!=(esk65_2 @ X1371 @ X1372))))))))&(((in @ esk68_0 @ (dsetconstr @ esk67_0 @ epred2_0))&((dsetconstr @ esk67_0 @ epred2_0)=(setadjoin @ esk68_0 @ emptyset)))&(~(in @ X1380 @ esk67_0)|~(epred2_0 @ X1380)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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_216])])])])])])])).
% 0.20/0.35 thf(c_0_218, negated_conjecture, ![X3:$i, X2:$i]:(((in @ (esk9_1 @ X2) @ X2)|~((in @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_217])).
% 0.20/0.35 thf(c_0_219, negated_conjecture, ![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_217])).
% 0.20/0.35 thf(c_0_220, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((in @ X2 @ X3)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_217])).
% 0.20/0.35 thf(c_0_221, negated_conjecture, ((dsetconstr @ esk67_0 @ epred2_0)=(setadjoin @ esk68_0 @ emptyset)), inference(split_conjunct,[status(thm)],[c_0_217])).
% 0.20/0.35 thf(c_0_222, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((in @ X3 @ (setadjoin @ X2 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_217])).
% 0.20/0.35 thf(c_0_223, negated_conjecture, ![X2:$i, X3:$i]:((in @ (esk9_1 @ (setadjoin @ X2 @ X3)) @ (setadjoin @ X2 @ X3))), inference(spm,[status(thm)],[c_0_218, c_0_219])).
% 0.20/0.35 thf(c_0_224, negated_conjecture, ![X3:$i, X2:$i, X1:$i > $o]:(((X1 @ X2)|~((in @ X2 @ (dsetconstr @ X3 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_217])).
% 0.20/0.35 thf(c_0_225, negated_conjecture, ![X2:$i]:(((in @ X2 @ esk67_0)|~((in @ X2 @ (setadjoin @ esk68_0 @ emptyset))))), inference(spm,[status(thm)],[c_0_220, c_0_221])).
% 0.20/0.35 thf(c_0_226, negated_conjecture, ![X2:$i]:(((esk9_1 @ (setadjoin @ X2 @ emptyset))=(X2))), inference(spm,[status(thm)],[c_0_222, c_0_223])).
% 0.20/0.35 thf(c_0_227, negated_conjecture, ![X2:$i]:(((epred2_0 @ X2)|~((in @ X2 @ (setadjoin @ esk68_0 @ emptyset))))), inference(spm,[status(thm)],[c_0_224, c_0_221])).
% 0.20/0.35 thf(c_0_228, negated_conjecture, ![X2:$i]:((~((in @ X2 @ esk67_0))|~((epred2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_217])).
% 0.20/0.35 thf(c_0_229, negated_conjecture, (in @ esk68_0 @ esk67_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225, c_0_223]), c_0_226])).
% 0.20/0.35 thf(c_0_230, negated_conjecture, (epred2_0 @ esk68_0), inference(spm,[status(thm)],[c_0_227, c_0_219])).
% 0.20/0.35 thf(c_0_231, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228, c_0_229]), c_0_230])]), ['proof']).
% 0.20/0.35 % SZS output end CNFRefutation
% 0.20/0.35 % Parsed axioms : 340
% 0.20/0.35 % Removed by relevancy pruning/SinE : 0
% 0.20/0.35 % Initial clauses : 476
% 0.20/0.35 % Removed in clause preprocessing : 203
% 0.20/0.35 % Initial clauses in saturation : 273
% 0.20/0.35 % Processed clauses : 152
% 0.20/0.35 % ...of these trivial : 9
% 0.20/0.35 % ...subsumed : 36
% 0.20/0.35 % ...remaining for further processing : 107
% 0.20/0.35 % Other redundant clauses eliminated : 10
% 0.20/0.35 % Clauses deleted for lack of memory : 0
% 0.20/0.35 % Backward-subsumed : 0
% 0.20/0.35 % Backward-rewritten : 4
% 0.20/0.35 % Generated clauses : 384
% 0.20/0.35 % ...of the previous two non-redundant : 314
% 0.20/0.35 % ...aggressively subsumed : 0
% 0.20/0.35 % Contextual simplify-reflections : 0
% 0.20/0.35 % Paramodulations : 374
% 0.20/0.35 % Factorizations : 0
% 0.20/0.35 % NegExts : 0
% 0.20/0.35 % Equation resolutions : 10
% 0.20/0.35 % Disequality decompositions : 0
% 0.20/0.35 % Total rewrite steps : 77
% 0.20/0.35 % ...of those cached : 45
% 0.20/0.35 % Propositional unsat checks : 0
% 0.20/0.35 % Propositional check models : 0
% 0.20/0.35 % Propositional check unsatisfiable : 0
% 0.20/0.35 % Propositional clauses : 0
% 0.20/0.35 % Propositional clauses after purity: 0
% 0.20/0.35 % Propositional unsat core size : 0
% 0.20/0.35 % Propositional preprocessing time : 0.000
% 0.20/0.35 % Propositional encoding time : 0.000
% 0.20/0.35 % Propositional solver time : 0.000
% 0.20/0.35 % Success case prop preproc time : 0.000
% 0.20/0.35 % Success case prop encoding time : 0.000
% 0.20/0.35 % Success case prop solver time : 0.000
% 0.20/0.35 % Current number of processed clauses : 97
% 0.20/0.35 % Positive orientable unit clauses : 37
% 0.20/0.35 % Positive unorientable unit clauses: 0
% 0.20/0.35 % Negative unit clauses : 1
% 0.20/0.35 % Non-unit-clauses : 59
% 0.20/0.35 % Current number of unprocessed clauses: 430
% 0.20/0.35 % ...number of literals in the above : 1238
% 0.20/0.35 % Current number of archived formulas : 0
% 0.20/0.35 % Current number of archived clauses : 4
% 0.20/0.35 % Clause-clause subsumption calls (NU) : 347
% 0.20/0.35 % Rec. Clause-clause subsumption calls : 272
% 0.20/0.35 % Non-unit clause-clause subsumptions : 22
% 0.20/0.35 % Unit Clause-clause subsumption calls : 39
% 0.20/0.35 % Rewrite failures with RHS unbound : 0
% 0.20/0.35 % BW rewrite match attempts : 8
% 0.20/0.35 % BW rewrite match successes : 4
% 0.20/0.35 % Condensation attempts : 0
% 0.20/0.35 % Condensation successes : 0
% 0.20/0.35 % Termbank termtop insertions : 44425
% 0.20/0.35 % Search garbage collected termcells : 15331
% 0.20/0.35
% 0.20/0.35 % -------------------------------------------------
% 0.20/0.35 % User time : 0.044 s
% 0.20/0.35 % System time : 0.006 s
% 0.20/0.35 % Total time : 0.050 s
% 0.20/0.35 % Maximum resident set size: 7304 pages
% 0.20/0.35
% 0.20/0.35 % -------------------------------------------------
% 0.20/0.35 % User time : 0.051 s
% 0.20/0.35 % System time : 0.013 s
% 0.20/0.35 % Total time : 0.065 s
% 0.20/0.35 % Maximum resident set size: 5376 pages
% 0.20/0.35 % E exiting
%------------------------------------------------------------------------------