%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU593^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:26:50 AM UTC 2026
% Result : Theorem 1.14s 0.40s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU593^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n013.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 13:53:21 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p
% 1.14/0.40 % Version: 3.5.1-ho
% 1.14/0.40 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.14/0.40 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.14/0.40 % Starting ehoh_best5 with 300s (1) cores
% 1.14/0.40 % Starting almost_fo_3_lam with 300s (1) cores
% 1.14/0.40 % Starting new_bool_5 with 300s (1) cores
% 1.14/0.40 % Starting pre_casc_3 with 300s (1) cores
% 1.14/0.40 % Starting ho_unfolding_8 with 300s (1) cores
% 1.14/0.40 % Starting new_ho_10_cnf2 with 300s (1) cores
% 1.14/0.40 % Starting new_bool_3 with 300s (1) cores
% 1.14/0.40 % Starting new_ho_5 with 300s (1) cores
% 1.14/0.40 % ehoh_best5 with pid 2154362 completed with status 0
% 1.14/0.40 % Result found by ehoh_best5
% 1.14/0.40 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.14/0.40 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.14/0.40 % Starting ehoh_best5 with 300s (1) cores
% 1.14/0.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.14/0.40 % No SInE strategy applied
% 1.14/0.40 % Search class: HGHSM-FSLM31-SHFMMSBN
% 1.14/0.40 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.14/0.40 % Starting SubtermCWHack with 31s (1) cores
% 1.14/0.40 % SubtermCWHack with pid 2154372 completed with status 0
% 1.14/0.40 % Result found by SubtermCWHack
% 1.14/0.40 % Preprocessing class: HSLMSLSSLLLCHFA.
% 1.14/0.40 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 1.14/0.40 % Starting ehoh_best5 with 300s (1) cores
% 1.14/0.40 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.14/0.40 % No SInE strategy applied
% 1.14/0.40 % Search class: HGHSM-FSLM31-SHFMMSBN
% 1.14/0.40 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.14/0.40 % Starting SubtermCWHack with 31s (1) cores
% 1.14/0.40 % Preprocessing time : 0.002 s
% 1.14/0.40
% 1.14/0.40 % Proof found!
% 1.14/0.40 % SZS status Theorem
% 1.14/0.40 % SZS output start CNFRefutation
% 1.14/0.40 thf(decl_23, type, in: $i > $i > $o).
% 1.14/0.40 thf(decl_24, type, exu: ($i > $o) > $o).
% 1.14/0.40 thf(decl_25, type, setextAx: $o).
% 1.14/0.40 thf(decl_26, type, emptyset: $i).
% 1.14/0.40 thf(decl_27, type, emptysetAx: $o).
% 1.14/0.40 thf(decl_28, type, setadjoin: $i > $i > $i).
% 1.14/0.40 thf(decl_29, type, setadjoinAx: $o).
% 1.14/0.40 thf(decl_30, type, powerset: $i > $i).
% 1.14/0.40 thf(decl_31, type, powersetAx: $o).
% 1.14/0.40 thf(decl_32, type, setunion: $i > $i).
% 1.14/0.40 thf(decl_33, type, setunionAx: $o).
% 1.14/0.40 thf(decl_34, type, omega: $i).
% 1.14/0.40 thf(decl_35, type, omega0Ax: $o).
% 1.14/0.40 thf(decl_36, type, omegaSAx: $o).
% 1.14/0.40 thf(decl_37, type, omegaIndAx: $o).
% 1.14/0.40 thf(decl_38, type, replAx: $o).
% 1.14/0.40 thf(decl_39, type, foundationAx: $o).
% 1.14/0.40 thf(decl_40, type, wellorderingAx: $o).
% 1.14/0.40 thf(decl_41, type, descr: ($i > $o) > $i).
% 1.14/0.40 thf(decl_42, type, descrp: $o).
% 1.14/0.40 thf(decl_43, type, dsetconstr: $i > ($i > $o) > $i).
% 1.14/0.40 thf(decl_44, type, dsetconstrI: $o).
% 1.14/0.40 thf(decl_45, type, dsetconstrEL: $o).
% 1.14/0.40 thf(decl_46, type, dsetconstrER: $o).
% 1.14/0.40 thf(decl_47, type, exuE1: $o).
% 1.14/0.40 thf(decl_48, type, prop2set: $o > $i).
% 1.14/0.40 thf(decl_49, type, prop2setE: $o).
% 1.14/0.40 thf(decl_50, type, emptysetE: $o).
% 1.14/0.40 thf(decl_51, type, emptysetimpfalse: $o).
% 1.14/0.40 thf(decl_52, type, notinemptyset: $o).
% 1.14/0.40 thf(decl_53, type, exuE3e: $o).
% 1.14/0.40 thf(decl_54, type, setext: $o).
% 1.14/0.40 thf(decl_55, type, emptyI: $o).
% 1.14/0.40 thf(decl_56, type, noeltsimpempty: $o).
% 1.14/0.40 thf(decl_57, type, setbeta: $o).
% 1.14/0.40 thf(decl_58, type, nonempty: $i > $o).
% 1.14/0.40 thf(decl_59, type, nonemptyE1: $o).
% 1.14/0.40 thf(decl_60, type, nonemptyI: $o).
% 1.14/0.40 thf(decl_61, type, nonemptyI1: $o).
% 1.14/0.40 thf(decl_62, type, setadjoinIL: $o).
% 1.14/0.40 thf(decl_63, type, emptyinunitempty: $o).
% 1.14/0.40 thf(decl_64, type, setadjoinIR: $o).
% 1.14/0.40 thf(decl_65, type, setadjoinE: $o).
% 1.14/0.40 thf(decl_66, type, setadjoinOr: $o).
% 1.14/0.40 thf(decl_67, type, setoftrueEq: $o).
% 1.14/0.40 thf(decl_68, type, powersetI: $o).
% 1.14/0.40 thf(decl_69, type, emptyinPowerset: $o).
% 1.14/0.40 thf(decl_70, type, emptyInPowerset: $o).
% 1.14/0.40 thf(decl_71, type, powersetE: $o).
% 1.14/0.40 thf(decl_72, type, setunionI: $o).
% 1.14/0.40 thf(decl_73, type, setunionE: $o).
% 1.14/0.40 thf(decl_74, type, subPowSU: $o).
% 1.14/0.40 thf(decl_75, type, exuE2: $o).
% 1.14/0.40 thf(decl_76, type, nonemptyImpWitness: $o).
% 1.14/0.40 thf(decl_77, type, uniqinunit: $o).
% 1.14/0.40 thf(decl_78, type, notinsingleton: $o).
% 1.14/0.40 thf(decl_79, type, eqinunit: $o).
% 1.14/0.40 thf(decl_80, type, singletonsswitch: $o).
% 1.14/0.40 thf(decl_81, type, upairsetE: $o).
% 1.14/0.40 thf(decl_82, type, upairsetIL: $o).
% 1.14/0.40 thf(decl_83, type, upairsetIR: $o).
% 1.14/0.40 thf(decl_84, type, emptyE1: $o).
% 1.14/0.40 thf(decl_85, type, vacuousDall: $o).
% 1.14/0.40 thf(decl_86, type, quantDeMorgan1: $o).
% 1.14/0.40 thf(decl_87, type, quantDeMorgan2: $o).
% 1.14/0.40 thf(decl_88, type, quantDeMorgan3: $o).
% 1.14/0.40 thf(decl_89, type, quantDeMorgan4: $o).
% 1.14/0.40 thf(decl_90, type, prop2setI: $o).
% 1.14/0.40 thf(decl_91, type, set2prop: $i > $o).
% 1.14/0.40 thf(decl_92, type, prop2set2propI: $o).
% 1.14/0.40 thf(decl_93, type, notdexE: $o).
% 1.14/0.40 thf(decl_94, type, notdallE: $o).
% 1.14/0.40 thf(decl_95, type, exuI1: $o).
% 1.14/0.40 thf(decl_96, type, exuI3: $o).
% 1.14/0.40 thf(decl_97, type, exuI2: $o).
% 1.14/0.40 thf(decl_98, type, inCongP: $o).
% 1.14/0.40 thf(decl_99, type, in__Cong: $o).
% 1.14/0.40 thf(decl_100, type, exuE3u: $o).
% 1.14/0.40 thf(decl_101, type, exu__Cong: $o).
% 1.14/0.40 thf(decl_102, type, emptyset__Cong: $o).
% 1.14/0.40 thf(decl_103, type, setadjoin__Cong: $o).
% 1.14/0.40 thf(decl_104, type, powerset__Cong: $o).
% 1.14/0.40 thf(decl_105, type, setunion__Cong: $o).
% 1.14/0.40 thf(decl_106, type, omega__Cong: $o).
% 1.14/0.40 thf(decl_107, type, exuEu: $o).
% 1.14/0.40 thf(decl_108, type, descr__Cong: $o).
% 1.14/0.40 thf(decl_109, type, dsetconstr__Cong: $o).
% 1.14/0.40 thf(decl_110, type, subset: $i > $i > $o).
% 1.14/0.40 thf(decl_113, type, subsetI1: $o).
% 1.14/0.40 thf(decl_114, type, eqimpsubset2: $o).
% 1.14/0.40 thf(decl_115, type, eqimpsubset1: $o).
% 1.14/0.40 thf(decl_116, type, subsetI2: $o).
% 1.14/0.40 thf(decl_117, type, emptysetsubset: $o).
% 1.14/0.40 thf(decl_118, type, subsetE: $o).
% 1.14/0.40 thf(decl_119, type, subsetE2: $o).
% 1.14/0.40 thf(decl_120, type, notsubsetI: $o).
% 1.14/0.40 thf(decl_121, type, notequalI1: $o).
% 1.14/0.40 thf(decl_122, type, notequalI2: $o).
% 1.14/0.40 thf(decl_123, type, subsetRefl: $o).
% 1.14/0.40 thf(decl_124, type, subsetTrans: $o).
% 1.14/0.40 thf(decl_125, type, setadjoinSub: $o).
% 1.14/0.40 thf(decl_126, type, setadjoinSub2: $o).
% 1.14/0.40 thf(decl_127, type, subset2powerset: $o).
% 1.14/0.40 thf(decl_128, type, setextsub: $o).
% 1.14/0.40 thf(decl_129, type, subsetemptysetimpeq: $o).
% 1.14/0.40 thf(decl_130, type, powersetI1: $o).
% 1.14/0.40 thf(decl_131, type, powersetE1: $o).
% 1.14/0.40 thf(decl_132, type, inPowerset: $o).
% 1.14/0.40 thf(decl_133, type, powersetsubset: $o).
% 1.14/0.40 thf(decl_134, type, sepInPowerset: $o).
% 1.14/0.40 thf(decl_135, type, sepSubset: $o).
% 1.14/0.40 thf(decl_136, type, binunion: $i > $i > $i).
% 1.14/0.40 thf(decl_137, type, binunionIL: $o).
% 1.14/0.40 thf(decl_138, type, upairset2IR: $o).
% 1.14/0.40 thf(decl_139, type, binunionIR: $o).
% 1.14/0.40 thf(decl_140, type, binunionEcases: $o).
% 1.14/0.40 thf(decl_141, type, binunionE: $o).
% 1.14/0.40 thf(decl_142, type, binunionLsub: $o).
% 1.14/0.40 thf(decl_143, type, binunionRsub: $o).
% 1.14/0.40 thf(decl_144, type, binintersect: $i > $i > $i).
% 1.14/0.40 thf(decl_145, type, binintersectI: $o).
% 1.14/0.40 thf(decl_146, type, binintersectSubset5: $o).
% 1.14/0.40 thf(decl_147, type, binintersectEL: $o).
% 1.14/0.40 thf(decl_148, type, binintersectLsub: $o).
% 1.14/0.40 thf(decl_149, type, epred1_0: $o).
% 1.14/0.40 thf(decl_150, type, esk1_2: $i > $i > $i).
% 1.14/0.40 thf(decl_151, type, esk2_2: $i > $i > $i).
% 1.14/0.40 thf(decl_152, type, esk3_2: $i > $i > $i).
% 1.14/0.40 thf(decl_153, type, esk4_1: $i > $i).
% 1.14/0.40 thf(decl_154, type, esk5_2: ($i > $i > $o) > $i > $i).
% 1.14/0.40 thf(decl_155, type, esk6_3: ($i > $i > $o) > $i > $i > $i).
% 1.14/0.40 thf(decl_156, type, esk7_2: ($i > $i > $o) > $i > $i).
% 1.14/0.40 thf(decl_157, type, esk8_3: ($i > $i > $o) > $i > $i > $i).
% 1.14/0.40 thf(decl_158, type, esk9_1: $i > $i).
% 1.14/0.40 thf(decl_159, type, esk10_2: ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_160, type, esk11_2: ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_161, type, esk12_1: ($i > $o) > $i).
% 1.14/0.40 thf(decl_162, type, esk13_2: ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_163, type, esk14_1: ($i > $o) > $i).
% 1.14/0.40 thf(decl_164, type, esk15_2: $i > $i > $i).
% 1.14/0.40 thf(decl_165, type, esk16_2: $i > $i > $i).
% 1.14/0.40 thf(decl_166, type, esk17_1: $i > $i).
% 1.14/0.40 thf(decl_167, type, esk18_1: $i > $i).
% 1.14/0.40 thf(decl_168, type, esk19_1: $i > $i).
% 1.14/0.40 thf(decl_169, type, esk20_2: $i > $i > $i).
% 1.14/0.40 thf(decl_170, type, esk21_3: $i > $i > $o > $i).
% 1.14/0.40 thf(decl_171, type, esk22_2: ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_172, type, esk23_1: ($i > $o) > $i).
% 1.14/0.40 thf(decl_173, type, esk24_1: $i > $i).
% 1.14/0.40 thf(decl_174, type, esk25_2: $i > ($i > $o) > $i).
% 1.14/0.40 thf(decl_175, type, esk26_2: $i > ($i > $o) > $i).
% 1.14/0.40 thf(decl_176, type, esk27_2: $i > ($i > $o) > $i).
% 1.14/0.40 thf(decl_177, type, esk28_2: $i > ($i > $o) > $i).
% 1.14/0.40 thf(decl_178, type, esk29_2: $i > ($i > $o) > $i).
% 1.14/0.40 thf(decl_179, type, esk30_2: $i > ($i > $o) > $i).
% 1.14/0.40 thf(decl_180, type, esk31_2: ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_181, type, esk32_1: ($i > $o) > $i).
% 1.14/0.40 thf(decl_182, type, esk33_1: ($i > $o) > $i).
% 1.14/0.40 thf(decl_183, type, esk34_1: ($i > $o) > $i).
% 1.14/0.40 thf(decl_184, type, esk35_1: ($i > $o) > $i).
% 1.14/0.40 thf(decl_185, type, esk36_2: ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_186, type, esk37_1: ($i > $o) > $i).
% 1.14/0.40 thf(decl_187, type, esk38_2: ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_188, type, esk39_2: ($i > $o) > ($i > $o) > $i).
% 1.14/0.40 thf(decl_189, type, esk40_2: ($i > $o) > ($i > $o) > $i).
% 1.14/0.40 thf(decl_190, type, esk41_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_191, type, esk42_2: ($i > $o) > ($i > $o) > $i).
% 1.14/0.40 thf(decl_192, type, esk43_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_193, type, esk44_2: ($i > $o) > ($i > $o) > $i).
% 1.14/0.40 thf(decl_194, type, esk45_2: ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_195, type, esk46_2: ($i > $o) > ($i > $o) > $i).
% 1.14/0.40 thf(decl_196, type, esk47_2: ($i > $o) > ($i > $o) > $i).
% 1.14/0.40 thf(decl_197, type, esk48_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_198, type, esk49_3: ($i > $o) > ($i > $o) > $i > $i).
% 1.14/0.40 thf(decl_199, type, esk50_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.14/0.40 thf(decl_200, type, esk51_4: $i > $i > ($i > $o) > ($i > $o) > $i).
% 1.14/0.40 thf(decl_201, type, esk52_2: $i > $i > $i).
% 1.14/0.40 thf(decl_202, type, esk53_2: $i > $i > $i).
% 1.14/0.40 thf(decl_203, type, esk54_0: $i).
% 1.14/0.40 thf(decl_204, type, esk55_0: $i).
% 1.14/0.40 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', replAx)).
% 1.14/0.40 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', exu)).
% 1.14/0.40 thf(descrp, axiom, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>(X1 @ (descr @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', descrp)).
% 1.14/0.40 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', exuE1)).
% 1.14/0.40 thf(exuE3e, axiom, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', exuE3e)).
% 1.14/0.40 thf(nonempty, axiom, ((nonempty)=(^[X2:$i]:(((X2)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', nonempty)).
% 1.14/0.40 thf(nonemptyI, axiom, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', nonemptyI)).
% 1.14/0.40 thf(exuE2, axiom, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', exuE2)).
% 1.14/0.40 thf(exuI1, axiom, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', exuI1)).
% 1.14/0.40 thf(exuI3, axiom, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[X2:$i]:((X1 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', exuI3)).
% 1.14/0.40 thf(exuI2, axiom, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[X2:$i]:((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', exuI2)).
% 1.14/0.40 thf(exuE3u, axiom, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', exuE3u)).
% 1.14/0.40 thf(exu__Cong, axiom, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))<=>(exu @ (^[X2:$i]:((X17 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', exu__Cong)).
% 1.14/0.40 thf(exuEu, axiom, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', exuEu)).
% 1.14/0.40 thf(descr__Cong, axiom, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[X2:$i]:((X1 @ X2))))=>((exu @ (^[X2:$i]:((X17 @ X2))))=>((descr @ (^[X2:$i]:((X1 @ X2))))=(descr @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', descr__Cong)).
% 1.14/0.40 thf(binintersectSubset2, conjecture, ((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binintersectSubset2)).
% 1.14/0.40 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', dsetconstrI)).
% 1.14/0.40 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', dsetconstrEL)).
% 1.14/0.40 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', dsetconstrER)).
% 1.14/0.40 thf(setbeta, axiom, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))<=>(X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setbeta)).
% 1.14/0.40 thf(nonemptyE1, axiom, ((nonemptyE1)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:((in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', nonemptyE1)).
% 1.14/0.40 thf(nonemptyI1, axiom, ((nonemptyI1)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>(nonempty @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', nonemptyI1)).
% 1.14/0.40 thf(setoftrueEq, axiom, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[X2:$i]:(($true))))=(X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setoftrueEq)).
% 1.14/0.40 thf(nonemptyImpWitness, axiom, ((nonemptyImpWitness)<=>![X4:$i]:(((nonempty @ X4)=>?[X2:$i]:(((in @ X2 @ X4)&($true)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', nonemptyImpWitness)).
% 1.14/0.40 thf(emptyE1, axiom, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(emptyset))=>~($true))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', emptyE1)).
% 1.14/0.40 thf(dsetconstr__Cong, axiom, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2))))=(dsetconstr @ X5 @ (^[X2:$i]:((X17 @ X2)))))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', dsetconstr__Cong)).
% 1.14/0.40 thf(sepInPowerset, axiom, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', sepInPowerset)).
% 1.14/0.40 thf(sepSubset, axiom, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[X2:$i]:((X1 @ X2)))) @ X4))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', sepSubset)).
% 1.14/0.40 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setextAx)).
% 1.14/0.40 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', emptysetAx)).
% 1.14/0.40 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setadjoinAx)).
% 1.14/0.40 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', powersetAx)).
% 1.14/0.40 thf(setunionAx, axiom, ((setunionAx)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))<=>?[X5:$i]:(((in @ X2 @ X5)&(in @ X5 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setunionAx)).
% 1.14/0.40 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', omega0Ax)).
% 1.14/0.40 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', omegaSAx)).
% 1.14/0.40 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', omegaIndAx)).
% 1.14/0.40 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', foundationAx)).
% 1.14/0.40 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', wellorderingAx)).
% 1.14/0.40 thf(prop2setE, axiom, ((prop2setE)<=>![X10:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X10))))=>(X10)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', prop2setE)).
% 1.14/0.40 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X11:$o]:((X11))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', emptysetE)).
% 1.14/0.40 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', emptysetimpfalse)).
% 1.14/0.40 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', notinemptyset)).
% 1.14/0.40 thf(setext, axiom, ((setext)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setext)).
% 1.14/0.40 thf(emptyI, axiom, ((emptyI)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', emptyI)).
% 1.14/0.40 thf(noeltsimpempty, axiom, ((noeltsimpempty)<=>![X4:$i]:((![X2:$i]:(~((in @ X2 @ X4)))=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', noeltsimpempty)).
% 1.14/0.40 thf(setadjoinIL, axiom, ((setadjoinIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setadjoinIL)).
% 1.14/0.40 thf(emptyinunitempty, axiom, ((emptyinunitempty)<=>(in @ emptyset @ (setadjoin @ emptyset @ emptyset))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', emptyinunitempty)).
% 1.14/0.40 thf(setadjoinIR, axiom, ((setadjoinIR)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ X4)=>(in @ X3 @ (setadjoin @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setadjoinIR)).
% 1.14/0.40 thf(setadjoinE, axiom, ((setadjoinE)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>![X12:$o]:(((((X3)=(X2))=>(X12))=>(((in @ X3 @ X4)=>(X12))=>(X12))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setadjoinE)).
% 1.14/0.40 thf(setadjoinOr, axiom, ((setadjoinOr)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setadjoinOr)).
% 1.14/0.40 thf(powersetI, axiom, ((powersetI)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', powersetI)).
% 1.14/0.40 thf(emptyinPowerset, axiom, ((emptyinPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', emptyinPowerset)).
% 1.14/0.40 thf(emptyInPowerset, axiom, ((emptyInPowerset)<=>![X4:$i]:((in @ emptyset @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', emptyInPowerset)).
% 1.14/0.40 thf(powersetE, axiom, ((powersetE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X5 @ (powerset @ X4))=>((in @ X2 @ X5)=>(in @ X2 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', powersetE)).
% 1.14/0.40 thf(setunionI, axiom, ((setunionI)<=>![X4:$i, X2:$i, X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(in @ X2 @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setunionI)).
% 1.14/0.40 thf(setunionE, axiom, ((setunionE)<=>![X4:$i, X2:$i]:(((in @ X2 @ (setunion @ X4))=>![X13:$o]:((![X5:$i]:(((in @ X2 @ X5)=>((in @ X5 @ X4)=>(X13))))=>(X13)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setunionE)).
% 1.14/0.40 thf(subPowSU, axiom, ((subPowSU)<=>![X4:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (powerset @ (setunion @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', subPowSU)).
% 1.14/0.40 thf(uniqinunit, axiom, ((uniqinunit)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>((X2)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', uniqinunit)).
% 1.14/0.40 thf(notinsingleton, axiom, ((notinsingleton)<=>![X2:$i, X3:$i]:((((X2)!=(X3))=>~((in @ X3 @ (setadjoin @ X2 @ emptyset)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', notinsingleton)).
% 1.14/0.40 thf(eqinunit, axiom, ((eqinunit)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>(in @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', eqinunit)).
% 1.14/0.40 thf(singletonsswitch, axiom, ((singletonsswitch)<=>![X2:$i, X3:$i]:(((in @ X2 @ (setadjoin @ X3 @ emptyset))=>(in @ X3 @ (setadjoin @ X2 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', singletonsswitch)).
% 1.14/0.40 thf(upairsetE, axiom, ((upairsetE)<=>![X2:$i, X3:$i, X14:$i]:(((in @ X14 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)))=>(((X14)=(X2))|((X14)=(X3)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', upairsetE)).
% 1.14/0.40 thf(upairsetIL, axiom, ((upairsetIL)<=>![X2:$i, X3:$i]:((in @ X2 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', upairsetIL)).
% 1.14/0.40 thf(upairsetIR, axiom, ((upairsetIR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', upairsetIR)).
% 1.14/0.40 thf(vacuousDall, axiom, ((vacuousDall)<=>![X1:$i > $o, X2:$i]:(((in @ X2 @ emptyset)=>(X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', vacuousDall)).
% 1.14/0.40 thf(quantDeMorgan1, axiom, ((quantDeMorgan1)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', quantDeMorgan1)).
% 1.14/0.40 thf(quantDeMorgan2, axiom, ((quantDeMorgan2)<=>![X4:$i, X1:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))=>~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', quantDeMorgan2)).
% 1.14/0.40 thf(quantDeMorgan3, axiom, ((quantDeMorgan3)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', quantDeMorgan3)).
% 1.14/0.40 thf(quantDeMorgan4, axiom, ((quantDeMorgan4)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))=>~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', quantDeMorgan4)).
% 1.14/0.40 thf(prop2setI, axiom, ((prop2setI)<=>![X15:$o]:(((X15)=>(in @ emptyset @ (prop2set @ ((X15))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', prop2setI)).
% 1.14/0.40 thf(prop2set2propI, axiom, ((prop2set2propI)<=>![X16:$o]:(((X16)=>(set2prop @ (prop2set @ ((X16))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', prop2set2propI)).
% 1.14/0.40 thf(notdexE, axiom, ((notdexE)<=>![X4:$i, X1:$i > $o]:((~(?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2))))=>![X2:$i]:(((in @ X2 @ X4)=>~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', notdexE)).
% 1.14/0.40 thf(notdallE, axiom, ((notdallE)<=>![X4:$i, X1:$i > $o]:((~(![X2:$i]:(((in @ X2 @ X4)=>(X1 @ X2))))=>?[X2:$i]:(((in @ X2 @ X4)&~((X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', notdallE)).
% 1.14/0.40 thf(inCongP, axiom, ((inCongP)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', inCongP)).
% 1.14/0.40 thf(in__Cong, axiom, ((in__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X2:$i, X3:$i]:((((X2)=(X3))=>((in @ X2 @ X4)<=>(in @ X3 @ X5))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', in__Cong)).
% 1.14/0.40 thf(emptyset__Cong, axiom, ((emptyset__Cong)<=>((emptyset)=(emptyset))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', emptyset__Cong)).
% 1.14/0.40 thf(setadjoin__Cong, axiom, ((setadjoin__Cong)<=>![X2:$i, X3:$i]:((((X2)=(X3))=>![X14:$i, X18:$i]:((((X14)=(X18))=>((setadjoin @ X2 @ X14)=(setadjoin @ X3 @ X18))))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setadjoin__Cong)).
% 1.14/0.40 thf(powerset__Cong, axiom, ((powerset__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((powerset @ X4)=(powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', powerset__Cong)).
% 1.14/0.40 thf(setunion__Cong, axiom, ((setunion__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>((setunion @ X4)=(setunion @ X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setunion__Cong)).
% 1.14/0.40 thf(omega__Cong, axiom, ((omega__Cong)<=>((omega)=(omega))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', omega__Cong)).
% 1.14/0.40 thf(subsetI1, axiom, ((subsetI1)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', subsetI1)).
% 1.14/0.40 thf(eqimpsubset2, axiom, ((eqimpsubset2)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', eqimpsubset2)).
% 1.14/0.40 thf(eqimpsubset1, axiom, ((eqimpsubset1)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', eqimpsubset1)).
% 1.14/0.40 thf(subsetI2, axiom, ((subsetI2)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ X5)))=>(subset @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', subsetI2)).
% 1.14/0.40 thf(emptysetsubset, axiom, ((emptysetsubset)<=>![X4:$i]:((subset @ emptyset @ X4))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', emptysetsubset)).
% 1.14/0.40 thf(subsetE, axiom, ((subsetE)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>((in @ X2 @ X4)=>(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', subsetE)).
% 1.14/0.40 thf(subsetE2, axiom, ((subsetE2)<=>![X4:$i, X5:$i, X2:$i]:(((subset @ X4 @ X5)=>(~((in @ X2 @ X5))=>~((in @ X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', subsetE2)).
% 1.14/0.40 thf(notsubsetI, axiom, ((notsubsetI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>~((subset @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', notsubsetI)).
% 1.14/0.40 thf(notequalI1, axiom, ((notequalI1)<=>![X4:$i, X5:$i]:((~((subset @ X4 @ X5))=>((X4)!=(X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', notequalI1)).
% 1.14/0.40 thf(notequalI2, axiom, ((notequalI2)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(~((in @ X2 @ X5))=>((X4)!=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', notequalI2)).
% 1.14/0.40 thf(subsetRefl, axiom, ((subsetRefl)<=>![X4:$i]:((subset @ X4 @ X4))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', subsetRefl)).
% 1.14/0.40 thf(subsetTrans, axiom, ((subsetTrans)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X7)=>(subset @ X4 @ X7))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', subsetTrans)).
% 1.14/0.40 thf(setadjoinSub, axiom, ((setadjoinSub)<=>![X2:$i, X4:$i]:((subset @ X4 @ (setadjoin @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setadjoinSub)).
% 1.14/0.40 thf(setadjoinSub2, axiom, ((setadjoinSub2)<=>![X4:$i, X2:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ X4 @ (setadjoin @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setadjoinSub2)).
% 1.14/0.40 thf(subset2powerset, axiom, ((subset2powerset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(in @ X4 @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', subset2powerset)).
% 1.14/0.40 thf(setextsub, axiom, ((setextsub)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((subset @ X5 @ X4)=>((X4)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', setextsub)).
% 1.14/0.40 thf(subsetemptysetimpeq, axiom, ((subsetemptysetimpeq)<=>![X4:$i]:(((subset @ X4 @ emptyset)=>((X4)=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', subsetemptysetimpeq)).
% 1.14/0.40 thf(powersetI1, axiom, ((powersetI1)<=>![X4:$i, X5:$i]:(((subset @ X5 @ X4)=>(in @ X5 @ (powerset @ X4))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', powersetI1)).
% 1.14/0.40 thf(powersetE1, axiom, ((powersetE1)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))=>(subset @ X5 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', powersetE1)).
% 1.14/0.40 thf(inPowerset, axiom, ((inPowerset)<=>![X4:$i]:((in @ X4 @ (powerset @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', inPowerset)).
% 1.14/0.40 thf(powersetsubset, axiom, ((powersetsubset)<=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>(subset @ (powerset @ X4) @ (powerset @ X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', powersetsubset)).
% 1.14/0.40 thf(binunionIL, axiom, ((binunionIL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binunionIL)).
% 1.14/0.40 thf(upairset2IR, axiom, ((upairset2IR)<=>![X2:$i, X3:$i]:((in @ X3 @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', upairset2IR)).
% 1.14/0.40 thf(binunionIR, axiom, ((binunionIR)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ (binunion @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binunionIR)).
% 1.14/0.40 thf(binunionEcases, axiom, ((binunionEcases)<=>![X4:$i, X5:$i, X2:$i, X19:$o]:(((in @ X2 @ (binunion @ X4 @ X5))=>(((in @ X2 @ X4)=>(X19))=>(((in @ X2 @ X5)=>(X19))=>(X19)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binunionEcases)).
% 1.14/0.40 thf(binunionE, axiom, ((binunionE)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binunion @ X4 @ X5))=>((in @ X2 @ X4)|(in @ X2 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binunionE)).
% 1.14/0.40 thf(binunionLsub, axiom, ((binunionLsub)<=>![X4:$i, X5:$i]:((subset @ X4 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binunionLsub)).
% 1.14/0.40 thf(binunionRsub, axiom, ((binunionRsub)<=>![X4:$i, X5:$i]:((subset @ X5 @ (binunion @ X4 @ X5)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binunionRsub)).
% 1.14/0.40 thf(binintersectI, axiom, ((binintersectI)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ X5)=>(in @ X2 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binintersectI)).
% 1.14/0.40 thf(binintersectSubset5, axiom, ((binintersectSubset5)<=>![X4:$i, X5:$i, X7:$i]:(((subset @ X7 @ X4)=>((subset @ X7 @ X5)=>(subset @ X7 @ (binintersect @ X4 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binintersectSubset5)).
% 1.14/0.40 thf(binintersectEL, axiom, ((binintersectEL)<=>![X4:$i, X5:$i, X2:$i]:(((in @ X2 @ (binintersect @ X4 @ X5))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binintersectEL)).
% 1.14/0.40 thf(binintersectLsub, axiom, ((binintersectLsub)<=>![X4:$i, X5:$i]:((subset @ (binintersect @ X4 @ X5) @ X4))), file('/export/starexec/sandbox/tmp/tmp.BSLDGHLd1K/E---3.1_2154337.p', binintersectLsub)).
% 1.14/0.40 thf(c_0_112, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])).
% 1.14/0.40 thf(c_0_113, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:((((Z0 @ X2))&(![X3:$i]:((((Z0 @ X3))=>(((X2)=(X3))))))))))), inference(fof_simplification,[status(thm)],[exu])).
% 1.14/0.40 thf(c_0_114, plain, ((descrp)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>(X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[descrp])).
% 1.14/0.40 thf(c_0_115, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])).
% 1.14/0.40 thf(c_0_116, plain, ((exuE3e)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:((X1 @ X2))))), inference(fof_simplification,[status(thm)],[exuE3e])).
% 1.14/0.40 thf(c_0_117, plain, ((nonempty)=(^[Z0:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])).
% 1.14/0.40 thf(c_0_118, plain, ((nonemptyI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(nonempty @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])).
% 1.14/0.40 thf(c_0_119, plain, ((exuE2)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))))), inference(fof_simplification,[status(thm)],[exuE2])).
% 1.14/0.40 thf(c_0_120, plain, ((exuI1)<=>![X1:$i > $o]:((?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI1])).
% 1.14/0.40 thf(c_0_121, plain, ((exuI3)<=>![X1:$i > $o]:((?[X2:$i]:((X1 @ X2))=>(![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exuI3])).
% 1.14/0.40 thf(c_0_122, plain, ((exuI2)<=>![X1:$i > $o]:((?[X2:$i]:(![X3:$i]:(((X1 @ X3)<=>((X3)=(X2)))))=>(exu @ (^[Z0:$i]:((X1 @ Z0))))))), inference(fof_simplification,[status(thm)],[exuI2])).
% 1.14/0.40 thf(c_0_123, plain, ((exuE3u)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuE3u])).
% 1.14/0.40 thf(c_0_124, plain, ((exu__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))<=>(exu @ (^[Z0:$i]:((X17 @ Z0)))))))), inference(fof_simplification,[status(thm)],[exu__Cong])).
% 1.14/0.40 thf(c_0_125, plain, ((exuEu)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>![X2:$i, X3:$i]:(((X1 @ X2)=>((X1 @ X3)=>((X2)=(X3)))))))), inference(fof_simplification,[status(thm)],[exuEu])).
% 1.14/0.40 thf(c_0_126, plain, ((descr__Cong)<=>![X1:$i > $o, X17:$i > $o]:((![X2:$i, X3:$i]:((((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3))))=>((exu @ (^[Z0:$i]:((X1 @ Z0))))=>((exu @ (^[Z0:$i]:((X17 @ Z0))))=>((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[descr__Cong])).
% 1.14/0.40 thf(c_0_127, negated_conjecture, ~(((setextAx)=>((emptysetAx)=>((setadjoinAx)=>((powersetAx)=>((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>((replAx)=>((foundationAx)=>((wellorderingAx)=>((descrp)=>((dsetconstrI)=>((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((prop2setE)=>((emptysetE)=>((emptysetimpfalse)=>((notinemptyset)=>((exuE3e)=>((setext)=>((emptyI)=>((noeltsimpempty)=>((setbeta)=>((nonemptyE1)=>((nonemptyI)=>((nonemptyI1)=>((setadjoinIL)=>((emptyinunitempty)=>((setadjoinIR)=>((setadjoinE)=>((setadjoinOr)=>((setoftrueEq)=>((powersetI)=>((emptyinPowerset)=>((emptyInPowerset)=>((powersetE)=>((setunionI)=>((setunionE)=>((subPowSU)=>((exuE2)=>((nonemptyImpWitness)=>((uniqinunit)=>((notinsingleton)=>((eqinunit)=>((singletonsswitch)=>((upairsetE)=>((upairsetIL)=>((upairsetIR)=>((emptyE1)=>((vacuousDall)=>((quantDeMorgan1)=>((quantDeMorgan2)=>((quantDeMorgan3)=>((quantDeMorgan4)=>((prop2setI)=>((prop2set2propI)=>((notdexE)=>((notdallE)=>((exuI1)=>((exuI3)=>((exuI2)=>((inCongP)=>((in__Cong)=>((exuE3u)=>((exu__Cong)=>((emptyset__Cong)=>((setadjoin__Cong)=>((powerset__Cong)=>((setunion__Cong)=>((omega__Cong)=>((exuEu)=>((descr__Cong)=>((dsetconstr__Cong)=>((subsetI1)=>((eqimpsubset2)=>((eqimpsubset1)=>((subsetI2)=>((emptysetsubset)=>((subsetE)=>((subsetE2)=>((notsubsetI)=>((notequalI1)=>((notequalI2)=>((subsetRefl)=>((subsetTrans)=>((setadjoinSub)=>((setadjoinSub2)=>((subset2powerset)=>((setextsub)=>((subsetemptysetimpeq)=>((powersetI1)=>((powersetE1)=>((inPowerset)=>((powersetsubset)=>((sepInPowerset)=>((sepSubset)=>((binunionIL)=>((upairset2IR)=>((binunionIR)=>((binunionEcases)=>((binunionE)=>((binunionLsub)=>((binunionRsub)=>((binintersectI)=>((binintersectSubset5)=>((binintersectEL)=>((binintersectLsub)=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[binintersectSubset2])).
% 1.14/0.40 thf(c_0_128, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:(((![X2:$i]:((((in @ X2 @ X4))=>((?[X314:$i]:(((((X6 @ X2 @ X314)))&(![X315:$i]:(((((X6 @ X2 @ X315)))=>(((X314)=(X315)))))))))))))=>(?[X5:$i]:(![X2:$i]:((((in @ X2 @ X5))<=>(?[X3:$i]:((((in @ X3 @ X4))&((X6 @ X3 @ X2))))))))))))), inference(apply_def,[status(thm)],[c_0_112, c_0_113])).
% 1.14/0.40 thf(c_0_129, plain, ((descrp)=(![X1:$i > $o]:((((?[X316:$i]:(((((X1 @ X316)))&(![X317:$i]:(((((X1 @ X317)))=>(((X316)=(X317))))))))))=>((X1 @ (descr @ (^[Z0:$i]:((X1 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_114, c_0_113])).
% 1.14/0.40 thf(c_0_130, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])).
% 1.14/0.40 thf(c_0_131, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])).
% 1.14/0.40 thf(c_0_132, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])).
% 1.14/0.40 thf(c_0_133, plain, ((exuE1)=(![X1:$i > $o]:((((?[X318:$i]:(((((X1 @ X318)))&(![X319:$i]:(((((X1 @ X319)))=>(((X318)=(X319))))))))))=>(?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3))))))))))))), inference(apply_def,[status(thm)],[c_0_115, c_0_113])).
% 1.14/0.40 thf(c_0_134, plain, ((exuE3e)=(![X1:$i > $o]:((((?[X320:$i]:(((((X1 @ X320)))&(![X321:$i]:(((((X1 @ X321)))=>(((X320)=(X321))))))))))=>(?[X2:$i]:((X1 @ X2))))))), inference(apply_def,[status(thm)],[c_0_116, c_0_113])).
% 1.14/0.40 thf(c_0_135, plain, ((setbeta)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))<=>(X1 @ X2))))), inference(fof_simplification,[status(thm)],[setbeta])).
% 1.14/0.40 thf(c_0_136, axiom, ((nonemptyE1)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((in @ X2 @ X4))))))), inference(apply_def,[status(thm)],[nonemptyE1, c_0_117])).
% 1.14/0.40 thf(c_0_137, plain, ((nonemptyI)=(![X4:$i, X1:$i > $o, X2:$i]:((((in @ X2 @ X4))=>((((X1 @ X2))=>((((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))!=(emptyset)))))))))), inference(apply_def,[status(thm)],[c_0_118, c_0_117])).
% 1.14/0.40 thf(c_0_138, axiom, ((nonemptyI1)=(![X4:$i]:(((?[X2:$i]:((in @ X2 @ X4)))=>((((X4)!=(emptyset)))))))), inference(apply_def,[status(thm)],[nonemptyI1, c_0_117])).
% 1.14/0.40 thf(c_0_139, plain, ((setoftrueEq)<=>![X4:$i]:(((dsetconstr @ X4 @ (^[Z0:$i]:(($true))))=(X4)))), inference(fof_simplification,[status(thm)],[setoftrueEq])).
% 1.14/0.40 thf(c_0_140, plain, ((exuE2)=(![X1:$i > $o]:((((?[X322:$i]:(((((X1 @ X322)))&(![X323:$i]:(((((X1 @ X323)))=>(((X322)=(X323))))))))))=>(?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2))))))))))), inference(apply_def,[status(thm)],[c_0_119, c_0_113])).
% 1.14/0.40 thf(c_0_141, axiom, ((nonemptyImpWitness)=(![X4:$i]:((((((X4)!=(emptyset))))=>(?[X2:$i]:((((in @ X2 @ X4))&(($true))))))))), inference(apply_def,[status(thm)],[nonemptyImpWitness, c_0_117])).
% 1.14/0.40 thf(c_0_142, plain, ((emptyE1)<=>![X4:$i, X1:$i > $o]:((?[X2:$i]:(((in @ X2 @ X4)&(X1 @ X2)))=>(((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(emptyset))=>~($true))))), inference(fof_simplification,[status(thm)],[emptyE1])).
% 1.14/0.40 thf(c_0_143, plain, ((exuI1)=(![X1:$i > $o]:(((?[X2:$i]:((((X1 @ X2))&(![X3:$i]:((((X1 @ X3))=>(((X2)=(X3)))))))))=>((?[X324:$i]:(((((X1 @ X324)))&(![X325:$i]:(((((X1 @ X325)))=>(((X324)=(X325)))))))))))))), inference(apply_def,[status(thm)],[c_0_120, c_0_113])).
% 1.14/0.40 thf(c_0_144, plain, ((exuI3)=(![X1:$i > $o]:(((?[X2:$i]:((X1 @ X2)))=>(((![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3))))))))=>((?[X326:$i]:(((((X1 @ X326)))&(![X327:$i]:(((((X1 @ X327)))=>(((X326)=(X327)))))))))))))))), inference(apply_def,[status(thm)],[c_0_121, c_0_113])).
% 1.14/0.40 thf(c_0_145, plain, ((exuI2)=(![X1:$i > $o]:(((?[X2:$i]:(![X3:$i]:((((X1 @ X3))<=>(((X3)=(X2)))))))=>((?[X328:$i]:(((((X1 @ X328)))&(![X329:$i]:(((((X1 @ X329)))=>(((X328)=(X329)))))))))))))), inference(apply_def,[status(thm)],[c_0_122, c_0_113])).
% 1.14/0.40 thf(c_0_146, plain, ((exuE3u)=(![X1:$i > $o]:((((?[X330:$i]:(((((X1 @ X330)))&(![X331:$i]:(((((X1 @ X331)))=>(((X330)=(X331))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_123, c_0_113])).
% 1.14/0.40 thf(c_0_147, plain, ((exu__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X332:$i]:(((((X1 @ X332)))&(![X333:$i]:(((((X1 @ X333)))=>(((X332)=(X333))))))))))<=>((?[X334:$i]:(((((X17 @ X334)))&(![X335:$i]:(((((X17 @ X335)))=>(((X334)=(X335)))))))))))))))), inference(apply_def,[status(thm)],[c_0_124, c_0_113])).
% 1.14/0.40 thf(c_0_148, plain, ((exuEu)=(![X1:$i > $o]:((((?[X336:$i]:(((((X1 @ X336)))&(![X337:$i]:(((((X1 @ X337)))=>(((X336)=(X337))))))))))=>(![X2:$i, X3:$i]:((((X1 @ X2))=>((((X1 @ X3))=>(((X2)=(X3)))))))))))), inference(apply_def,[status(thm)],[c_0_125, c_0_113])).
% 1.14/0.40 thf(c_0_149, plain, ((descr__Cong)=(![X1:$i > $o, X17:$i > $o]:(((![X2:$i, X3:$i]:(((((X2)=(X3)))=>((((X1 @ X2))<=>((X17 @ X3)))))))=>((((?[X338:$i]:(((((X1 @ X338)))&(![X339:$i]:(((((X1 @ X339)))=>(((X338)=(X339))))))))))=>((((?[X340:$i]:(((((X17 @ X340)))&(![X341:$i]:(((((X17 @ X341)))=>(((X340)=(X341))))))))))=>(((descr @ (^[Z0:$i]:((X1 @ Z0))))=(descr @ (^[Z0:$i]:((X17 @ Z0)))))))))))))), inference(apply_def,[status(thm)],[c_0_126, c_0_113])).
% 1.14/0.40 thf(c_0_150, plain, ((dsetconstr__Cong)<=>![X4:$i, X5:$i]:((((X4)=(X5))=>![X1:$i > $o, X17:$i > $o]:((![X2:$i]:(((in @ X2 @ X4)=>![X3:$i]:(((in @ X3 @ X5)=>(((X2)=(X3))=>((X1 @ X2)<=>(X17 @ X3)))))))=>((dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))=(dsetconstr @ X5 @ (^[Z0:$i]:((X17 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[dsetconstr__Cong])).
% 1.14/0.40 thf(c_0_151, plain, ((sepInPowerset)<=>![X4:$i, X1:$i > $o]:((in @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ (powerset @ X4)))), inference(fof_simplification,[status(thm)],[sepInPowerset])).
% 1.14/0.40 thf(c_0_152, plain, ((sepSubset)<=>![X4:$i, X1:$i > $o]:((subset @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))) @ X4))), inference(fof_simplification,[status(thm)],[sepSubset])).
% 1.14/0.40 thf(c_0_153, plain, ((epred1_0)<=>![X371:$i]:(?[X372:$i]:((((![X373:$i]:(((in @ X373 @ X372)=>![X374:$i]:(((in @ X374 @ X373)=>(in @ X374 @ X371)))))&![X375:$i, X376:$i]:((((in @ X375 @ X371)&(in @ X376 @ X371))=>(![X377:$i]:(((in @ X377 @ X372)=>((in @ X375 @ X377)<=>(in @ X376 @ X377))))=>((X375)=(X376))))))&![X378:$i, X379:$i]:((((in @ X378 @ X372)&(in @ X379 @ X372))=>(![X380:$i]:(((in @ X380 @ X378)=>(in @ X380 @ X379)))|![X381:$i]:(((in @ X381 @ X379)=>(in @ X381 @ X378)))))))&![X382:$i]:(((![X383:$i]:(((in @ X383 @ X382)=>(in @ X383 @ X371)))&?[X384:$i]:((in @ X384 @ X382)))=>?[X385:$i, X386:$i]:(((((in @ X385 @ X372)&(in @ X386 @ X382))&~(?[X387:$i]:(((in @ X387 @ X385)&(in @ X387 @ X382)))))&![X388:$i]:(((in @ X388 @ X372)=>(![X389:$i]:(((in @ X389 @ X388)=>(in @ X389 @ X385)))|(in @ X386 @ X388)))))))))))), introduced(definition)).
% 1.14/0.40 thf(c_0_154, negated_conjecture, ~((![X342:$i, X343:$i]:((![X344:$i]:(((in @ X344 @ X342)<=>(in @ X344 @ X343)))=>((X342)=(X343))))=>(![X345:$i]:(~(in @ X345 @ emptyset))=>(![X346:$i, X347:$i, X348:$i]:(((in @ X348 @ (setadjoin @ X346 @ X347))<=>(((X348)=(X346))|(in @ X348 @ X347))))=>(![X349:$i, X350:$i]:(((in @ X350 @ (powerset @ X349))<=>![X351:$i]:(((in @ X351 @ X350)=>(in @ X351 @ X349)))))=>(![X352:$i, X353:$i]:(((in @ X353 @ (setunion @ X352))<=>?[X354:$i]:(((in @ X353 @ X354)&(in @ X354 @ X352)))))=>((in @ emptyset @ omega)=>(![X355:$i]:(((in @ X355 @ omega)=>(in @ (setadjoin @ X355 @ X355) @ omega)))=>(![X356:$i]:((((in @ emptyset @ X356)&![X357:$i]:((((in @ X357 @ omega)&(in @ X357 @ X356))=>(in @ (setadjoin @ X357 @ X357) @ X356))))=>![X358:$i]:(((in @ X358 @ omega)=>(in @ X358 @ X356)))))=>(![X359:$i > $i > $o, X360:$i]:((![X361:$i]:(((in @ X361 @ X360)=>?[X362:$i]:(((X359 @ X361 @ X362)&![X363:$i]:(((X359 @ X361 @ X363)=>((X362)=(X363))))))))=>?[X364:$i]:(![X365:$i]:(((in @ X365 @ X364)<=>?[X366:$i]:(((in @ X366 @ X360)&(X359 @ X366 @ X365))))))))=>(![X367:$i]:((?[X368:$i]:((in @ X368 @ X367))=>?[X369:$i]:(((in @ X369 @ X367)&~(?[X370:$i]:(((in @ X370 @ X369)&(in @ X370 @ X367))))))))=>((epred1_0)=>(![X390:$i > $o]:((?[X391:$i]:(((X390 @ X391)&![X392:$i]:(((X390 @ X392)=>((X391)=(X392))))))=>(X390 @ (descr @ (^[Z0:$i]:(X390 @ Z0))))))=>(![X393:$i, X394:$i > $o, X395:$i]:(((in @ X395 @ X393)=>((X394 @ X395)=>(in @ X395 @ (dsetconstr @ X393 @ X394)))))=>(![X396:$i, X397:$i > $o, X398:$i]:(((in @ X398 @ (dsetconstr @ X396 @ X397))=>(in @ X398 @ X396)))=>(![X399:$i, X400:$i > $o, X401:$i]:(((in @ X401 @ (dsetconstr @ X399 @ X400))=>(X400 @ X401)))=>(![X402:$i > $o]:((?[X403:$i]:(((X402 @ X403)&![X404:$i]:(((X402 @ X404)=>((X403)=(X404))))))=>?[X405:$i]:(((X402 @ X405)&![X406:$i]:(((X402 @ X406)=>((X405)=(X406))))))))=>(![X407:$o, X408:$i]:(((in @ X408 @ (prop2set @ ((X407))))=>(X407)))=>(![X409:$i]:(((in @ X409 @ emptyset)=>![X410:$o]:((X410))))=>(![X411:$i]:(((in @ X411 @ emptyset)=>~($true)))=>(![X412:$i]:(~(in @ X412 @ emptyset))=>(![X413:$i > $o]:((?[X414:$i]:(((X413 @ X414)&![X415:$i]:(((X413 @ X415)=>((X414)=(X415))))))=>?[X416:$i]:((X413 @ X416))))=>(![X417:$i, X418:$i]:((![X419:$i]:(((in @ X419 @ X417)=>(in @ X419 @ X418)))=>(![X420:$i]:(((in @ X420 @ X418)=>(in @ X420 @ X417)))=>((X417)=(X418)))))=>(![X421:$i]:((![X422:$i]:(~(in @ X422 @ X421))=>((X421)=(emptyset))))=>(![X423:$i]:((![X424:$i]:(~(in @ X424 @ X423))=>((X423)=(emptyset))))=>(![X425:$i, X426:$i > $o, X427:$i]:(((in @ X427 @ X425)=>((in @ X427 @ (dsetconstr @ X425 @ X426))<=>(X426 @ X427))))=>(![X428:$i]:((((X428)!=(emptyset))=>?[X429:$i]:((in @ X429 @ X428))))=>(![X430:$i, X431:$i > $o, X432:$i]:(((in @ X432 @ X430)=>((X431 @ X432)=>((dsetconstr @ X430 @ X431)!=(emptyset)))))=>(![X433:$i]:((?[X434:$i]:((in @ X434 @ X433))=>((X433)!=(emptyset))))=>(![X435:$i, X436:$i]:((in @ X435 @ (setadjoin @ X435 @ X436)))=>((in @ emptyset @ (setadjoin @ emptyset @ emptyset))=>(![X437:$i, X438:$i, X439:$i]:(((in @ X439 @ X438)=>(in @ X439 @ (setadjoin @ X437 @ X438))))=>(![X440:$i, X441:$i, X442:$i]:(((in @ X442 @ (setadjoin @ X440 @ X441))=>![X443:$o]:(((((X442)=(X440))=>(X443))=>(((in @ X442 @ X441)=>(X443))=>(X443))))))=>(![X444:$i, X445:$i, X446:$i]:(((in @ X446 @ (setadjoin @ X444 @ X445))=>(((X446)=(X444))|(in @ X446 @ X445))))=>(![X447:$i]:(((dsetconstr @ X447 @ (^[Z0:$i]:($true)))=(X447)))=>(![X448:$i, X449:$i]:((![X450:$i]:(((in @ X450 @ X449)=>(in @ X450 @ X448)))=>(in @ X449 @ (powerset @ X448))))=>(![X451:$i]:((in @ emptyset @ (powerset @ X451)))=>(![X452:$i]:((in @ emptyset @ (powerset @ X452)))=>(![X453:$i, X454:$i, X455:$i]:(((in @ X454 @ (powerset @ X453))=>((in @ X455 @ X454)=>(in @ X455 @ X453))))=>(![X456:$i, X457:$i, X458:$i]:(((in @ X457 @ X458)=>((in @ X458 @ X456)=>(in @ X457 @ (setunion @ X456)))))=>(![X459:$i, X460:$i]:(((in @ X460 @ (setunion @ X459))=>![X461:$o]:((![X462:$i]:(((in @ X460 @ X462)=>((in @ X462 @ X459)=>(X461))))=>(X461)))))=>(![X463:$i, X464:$i]:(((in @ X464 @ X463)=>(in @ X464 @ (powerset @ (setunion @ X463)))))=>(![X465:$i > $o]:((?[X466:$i]:(((X465 @ X466)&![X467:$i]:(((X465 @ X467)=>((X466)=(X467))))))=>?[X468:$i]:(![X469:$i]:(((X465 @ X469)<=>((X469)=(X468)))))))=>(![X470:$i]:((((X470)!=(emptyset))=>?[X471:$i]:(((in @ X471 @ X470)&$true))))=>(![X472:$i, X473:$i]:(((in @ X472 @ (setadjoin @ X473 @ emptyset))=>((X472)=(X473))))=>(![X474:$i, X475:$i]:((((X474)!=(X475))=>~(in @ X475 @ (setadjoin @ X474 @ emptyset))))=>(![X476:$i, X477:$i]:((((X476)=(X477))=>(in @ X476 @ (setadjoin @ X477 @ emptyset))))=>(![X478:$i, X479:$i]:(((in @ X478 @ (setadjoin @ X479 @ emptyset))=>(in @ X479 @ (setadjoin @ X478 @ emptyset))))=>(![X480:$i, X481:$i, X482:$i]:(((in @ X482 @ (setadjoin @ X480 @ (setadjoin @ X481 @ emptyset)))=>(((X482)=(X480))|((X482)=(X481)))))=>(![X483:$i, X484:$i]:((in @ X483 @ (setadjoin @ X483 @ (setadjoin @ X484 @ emptyset))))=>(![X485:$i, X486:$i]:((in @ X486 @ (setadjoin @ X485 @ (setadjoin @ X486 @ emptyset))))=>(![X487:$i, X488:$i > $o]:((?[X489:$i]:(((in @ X489 @ X487)&(X488 @ X489)))=>(((dsetconstr @ X487 @ X488)=(emptyset))=>~($true))))=>(![X490:$i > $o, X491:$i]:(((in @ X491 @ emptyset)=>(X490 @ X491)))=>(![X492:$i, X493:$i > $o]:((~(![X494:$i]:(((in @ X494 @ X492)=>(X493 @ X494))))=>?[X495:$i]:(((in @ X495 @ X492)&~((X493 @ X495))))))=>(![X496:$i, X497:$i > $o]:((![X498:$i]:(((in @ X498 @ X496)=>~((X497 @ X498))))=>~(?[X499:$i]:(((in @ X499 @ X496)&(X497 @ X499))))))=>(![X500:$i, X501:$i > $o]:((~(?[X502:$i]:(((in @ X502 @ X500)&(X501 @ X502))))=>![X503:$i]:(((in @ X503 @ X500)=>~((X501 @ X503))))))=>(![X504:$i, X505:$i > $o]:((?[X506:$i]:(((in @ X506 @ X504)&~((X505 @ X506))))=>~(![X507:$i]:(((in @ X507 @ X504)=>(X505 @ X507))))))=>(![X508:$o]:(((X508)=>(in @ emptyset @ (prop2set @ ((X508))))))=>(![X509:$o]:(((X509)=>(set2prop @ (prop2set @ ((X509))))))=>(![X510:$i, X511:$i > $o]:((~(?[X512:$i]:(((in @ X512 @ X510)&(X511 @ X512))))=>![X513:$i]:(((in @ X513 @ X510)=>~((X511 @ X513))))))=>(![X514:$i, X515:$i > $o]:((~(![X516:$i]:(((in @ X516 @ X514)=>(X515 @ X516))))=>?[X517:$i]:(((in @ X517 @ X514)&~((X515 @ X517))))))=>(![X518:$i > $o]:((?[X519:$i]:(((X518 @ X519)&![X520:$i]:(((X518 @ X520)=>((X519)=(X520))))))=>?[X521:$i]:(((X518 @ X521)&![X522:$i]:(((X518 @ X522)=>((X521)=(X522))))))))=>(![X523:$i > $o]:((?[X524:$i]:((X523 @ X524))=>(![X525:$i, X526:$i]:(((X523 @ X525)=>((X523 @ X526)=>((X525)=(X526)))))=>?[X527:$i]:(((X523 @ X527)&![X528:$i]:(((X523 @ X528)=>((X527)=(X528)))))))))=>(![X529:$i > $o]:((?[X530:$i]:(![X531:$i]:(((X529 @ X531)<=>((X531)=(X530)))))=>?[X532:$i]:(((X529 @ X532)&![X533:$i]:(((X529 @ X533)=>((X532)=(X533))))))))=>(![X534:$i, X535:$i]:((((X534)=(X535))=>![X536:$i, X537:$i]:((((X536)=(X537))=>((in @ X536 @ X534)=>(in @ X537 @ X535))))))=>(![X538:$i, X539:$i]:((((X538)=(X539))=>![X540:$i, X541:$i]:((((X540)=(X541))=>((in @ X540 @ X538)<=>(in @ X541 @ X539))))))=>(![X542:$i > $o]:((?[X543:$i]:(((X542 @ X543)&![X544:$i]:(((X542 @ X544)=>((X543)=(X544))))))=>![X545:$i, X546:$i]:(((X542 @ X545)=>((X542 @ X546)=>((X545)=(X546)))))))=>(![X547:$i > $o, X548:$i > $o]:((![X549:$i, X550:$i]:((((X549)=(X550))=>((X547 @ X549)<=>(X548 @ X550))))=>(?[X551:$i]:(((X547 @ X551)&![X552:$i]:(((X547 @ X552)=>((X551)=(X552))))))<=>?[X553:$i]:(((X548 @ X553)&![X554:$i]:(((X548 @ X554)=>((X553)=(X554)))))))))=>(((emptyset)=(emptyset))=>(![X555:$i, X556:$i]:((((X555)=(X556))=>![X557:$i, X558:$i]:((((X557)=(X558))=>((setadjoin @ X555 @ X557)=(setadjoin @ X556 @ X558))))))=>(![X559:$i, X560:$i]:((((X559)=(X560))=>((powerset @ X559)=(powerset @ X560))))=>(![X561:$i, X562:$i]:((((X561)=(X562))=>((setunion @ X561)=(setunion @ X562))))=>(((omega)=(omega))=>(![X563:$i > $o]:((?[X564:$i]:(((X563 @ X564)&![X565:$i]:(((X563 @ X565)=>((X564)=(X565))))))=>![X566:$i, X567:$i]:(((X563 @ X566)=>((X563 @ X567)=>((X566)=(X567)))))))=>(![X568:$i > $o, X569:$i > $o]:((![X570:$i, X571:$i]:((((X570)=(X571))=>((X568 @ X570)<=>(X569 @ X571))))=>(?[X572:$i]:(((X568 @ X572)&![X573:$i]:(((X568 @ X573)=>((X572)=(X573))))))=>(?[X574:$i]:(((X569 @ X574)&![X575:$i]:(((X569 @ X575)=>((X574)=(X575))))))=>((descr @ X568)=(descr @ X569))))))=>(![X576:$i, X577:$i]:((((X576)=(X577))=>![X578:$i > $o, X579:$i > $o]:((![X580:$i]:(((in @ X580 @ X576)=>![X581:$i]:(((in @ X581 @ X577)=>(((X580)=(X581))=>((X578 @ X580)<=>(X579 @ X581)))))))=>((dsetconstr @ X576 @ X578)=(dsetconstr @ X577 @ X579))))))=>(![X582:$i, X583:$i]:((![X584:$i]:(((in @ X584 @ X582)=>(in @ X584 @ X583)))=>(subset @ X582 @ X583)))=>(![X585:$i, X586:$i]:((((X585)=(X586))=>(subset @ X586 @ X585)))=>(![X587:$i, X588:$i]:((((X587)=(X588))=>(subset @ X587 @ X588)))=>(![X589:$i, X590:$i]:((![X591:$i]:(((in @ X591 @ X589)=>(in @ X591 @ X590)))=>(subset @ X589 @ X590)))=>(![X592:$i]:((subset @ emptyset @ X592))=>(![X593:$i, X594:$i, X595:$i]:(((subset @ X593 @ X594)=>((in @ X595 @ X593)=>(in @ X595 @ X594))))=>(![X596:$i, X597:$i, X598:$i]:(((subset @ X596 @ X597)=>(~(in @ X598 @ X597)=>~(in @ X598 @ X596))))=>(![X599:$i, X600:$i, X601:$i]:(((in @ X601 @ X599)=>(~(in @ X601 @ X600)=>~(subset @ X599 @ X600))))=>(![X602:$i, X603:$i]:((~(subset @ X602 @ X603)=>((X602)!=(X603))))=>(![X604:$i, X605:$i, X606:$i]:(((in @ X606 @ X604)=>(~(in @ X606 @ X605)=>((X604)!=(X605)))))=>(![X607:$i]:((subset @ X607 @ X607))=>(![X608:$i, X609:$i, X610:$i]:(((subset @ X608 @ X609)=>((subset @ X609 @ X610)=>(subset @ X608 @ X610))))=>(![X611:$i, X612:$i]:((subset @ X612 @ (setadjoin @ X611 @ X612)))=>(![X613:$i, X614:$i, X615:$i]:(((subset @ X613 @ X615)=>(subset @ X613 @ (setadjoin @ X614 @ X615))))=>(![X616:$i, X617:$i]:(((subset @ X616 @ X617)=>(in @ X616 @ (powerset @ X617))))=>(![X618:$i, X619:$i]:(((subset @ X618 @ X619)=>((subset @ X619 @ X618)=>((X618)=(X619)))))=>(![X620:$i]:(((subset @ X620 @ emptyset)=>((X620)=(emptyset))))=>(![X621:$i, X622:$i]:(((subset @ X622 @ X621)=>(in @ X622 @ (powerset @ X621))))=>(![X623:$i, X624:$i]:(((in @ X624 @ (powerset @ X623))=>(subset @ X624 @ X623)))=>(![X625:$i]:((in @ X625 @ (powerset @ X625)))=>(![X626:$i, X627:$i]:(((subset @ X626 @ X627)=>(subset @ (powerset @ X626) @ (powerset @ X627))))=>(![X628:$i, X629:$i > $o]:((in @ (dsetconstr @ X628 @ X629) @ (powerset @ X628)))=>(![X630:$i, X631:$i > $o]:((subset @ (dsetconstr @ X630 @ X631) @ X630))=>(![X632:$i, X633:$i, X634:$i]:(((in @ X634 @ X632)=>(in @ X634 @ (binunion @ X632 @ X633))))=>(![X635:$i, X636:$i]:((in @ X636 @ (setadjoin @ X635 @ (setadjoin @ X636 @ emptyset))))=>(![X637:$i, X638:$i, X639:$i]:(((in @ X639 @ X638)=>(in @ X639 @ (binunion @ X637 @ X638))))=>(![X640:$i, X641:$i, X642:$i, X643:$o]:(((in @ X642 @ (binunion @ X640 @ X641))=>(((in @ X642 @ X640)=>(X643))=>(((in @ X642 @ X641)=>(X643))=>(X643)))))=>(![X644:$i, X645:$i, X646:$i]:(((in @ X646 @ (binunion @ X644 @ X645))=>((in @ X646 @ X644)|(in @ X646 @ X645))))=>(![X647:$i, X648:$i]:((subset @ X647 @ (binunion @ X647 @ X648)))=>(![X649:$i, X650:$i]:((subset @ X650 @ (binunion @ X649 @ X650)))=>(![X651:$i, X652:$i, X653:$i]:(((in @ X653 @ X651)=>((in @ X653 @ X652)=>(in @ X653 @ (binintersect @ X651 @ X652)))))=>(![X654:$i, X655:$i, X656:$i]:(((subset @ X656 @ X654)=>((subset @ X656 @ X655)=>(subset @ X656 @ (binintersect @ X654 @ X655)))))=>(![X657:$i, X658:$i, X659:$i]:(((in @ X659 @ (binintersect @ X657 @ X658))=>(in @ X659 @ X657)))=>(![X660:$i, X661:$i]:((subset @ (binintersect @ X660 @ X661) @ X660))=>![X4:$i, X5:$i]:(((subset @ X4 @ X5)=>((binintersect @ X4 @ X5)=(X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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)],[c_0_127, setextAx]), emptysetAx]), setadjoinAx]), powersetAx]), setunionAx]), omega0Ax]), omegaSAx]), omegaIndAx]), c_0_128]), foundationAx]), wellorderingAx]), c_0_129]), c_0_130]), c_0_131]), c_0_132]), c_0_133]), prop2setE]), emptysetE]), emptysetimpfalse]), notinemptyset]), c_0_134]), setext]), emptyI]), noeltsimpempty]), c_0_135]), c_0_136]), c_0_137]), c_0_138]), setadjoinIL]), emptyinunitempty]), setadjoinIR]), setadjoinE]), setadjoinOr]), c_0_139]), powersetI]), emptyinPowerset]), emptyInPowerset]), powersetE]), setunionI]), setunionE]), subPowSU]), c_0_140]), c_0_141]), uniqinunit]), notinsingleton]), eqinunit]), singletonsswitch]), upairsetE]), upairsetIL]), upairsetIR]), c_0_142]), vacuousDall]), quantDeMorgan1]), quantDeMorgan2]), quantDeMorgan3]), quantDeMorgan4]), prop2setI]), prop2set2propI]), notdexE]), notdallE]), c_0_143]), c_0_144]), c_0_145]), inCongP]), in__Cong]), c_0_146]), c_0_147]), emptyset__Cong]), setadjoin__Cong]), powerset__Cong]), setunion__Cong]), omega__Cong]), c_0_148]), c_0_149]), c_0_150]), subsetI1]), eqimpsubset2]), eqimpsubset1]), subsetI2]), emptysetsubset]), subsetE]), subsetE2]), notsubsetI]), notequalI1]), notequalI2]), subsetRefl]), subsetTrans]), setadjoinSub]), setadjoinSub2]), subset2powerset]), setextsub]), subsetemptysetimpeq]), powersetI1]), powersetE1]), inPowerset]), powersetsubset]), c_0_151]), c_0_152]), binunionIL]), upairset2IR]), binunionIR]), binunionEcases]), binunionE]), binunionLsub]), binunionRsub]), binintersectI]), binintersectSubset5]), binintersectEL]), binintersectLsub])])]), c_0_153])).
% 1.14/0.41 thf(c_0_155, negated_conjecture, ![X666:$i, X667:$i, X669:$i, X670:$i, X671:$i, X672:$i, X673:$i, X674:$i, X675:$i, X676:$i, X677:$i, X679:$i, X680:$i, X682:$i, X683:$i, X684:$i, X685:$i, X686:$i, X688:$i, X689:$i > $i > $o, X690:$i, X692:$i, X695:$i, X697:$i, X698:$i, X699:$i, X700:$i, X702:$i, X703:$i > $o, X704:$i, X706:$i, X707:$i > $o, X708:$i, X709:$i, X710:$i > $o, X711:$i, X712:$i, X713:$i > $o, X714:$i, X715:$i > $o, X716:$i, X719:$i, X720:$o, X721:$i, X722:$i, X723:$o, X724:$i, X725:$i, X726:$i > $o, X727:$i, X730:$i, X731:$i, X734:$i, X736:$i, X738:$i, X739:$i > $o, X740:$i, X741:$i, X743:$i, X744:$i > $o, X745:$i, X746:$i, X747:$i, X748:$i, X749:$i, X750:$i, X751:$i, X752:$i, X753:$i, X754:$i, X755:$i, X756:$o, X757:$i, X758:$i, X759:$i, X760:$i, X761:$i, X762:$i, X764:$i, X765:$i, X766:$i, X767:$i, X768:$i, X769:$i, X770:$i, X771:$i, X772:$i, X773:$i, X774:$o, X776:$i, X777:$i, X778:$i > $o, X779:$i, X782:$i, X783:$i, X784:$i, X786:$i, X787:$i, X788:$i, X789:$i, X790:$i, X791:$i, X792:$i, X793:$i, X794:$i, X795:$i, X796:$i, X797:$i, X798:$i, X799:$i, X800:$i, X801:$i, X802:$i > $o, X803:$i, X804:$i > $o, X805:$i, X806:$i, X807:$i > $o, X808:$i, X810:$i, X811:$i > $o, X813:$i, X814:$i, X815:$i > $o, X817:$i, X818:$i, X819:$i > $o, X820:$i, X822:$o, X823:$o, X824:$i, X825:$i > $o, X827:$i, X828:$i, X829:$i > $o, X830:$i, X832:$i > $o, X833:$i, X836:$i, X837:$i > $o, X838:$i, X842:$i, X843:$i > $o, X844:$i, X847:$i, X848:$i, X849:$i, X850:$i, X851:$i, X852:$i, X853:$i, X854:$i, X855:$i, X856:$i > $o, X857:$i, X859:$i, X860:$i, X861:$i > $o, X862:$i > $o, X865:$i, X868:$i, X869:$i, X872:$i, X873:$i, X874:$i, X875:$i, X876:$i, X877:$i, X878:$i, X879:$i, X880:$i, X881:$i > $o, X882:$i, X884:$i, X885:$i, X886:$i > $o, X887:$i > $o, X890:$i, X892:$i, X894:$i, X895:$i, X896:$i > $o, X897:$i > $o, X900:$i, X901:$i, X903:$i, X904:$i, X905:$i, X906:$i, X907:$i, X908:$i, X910:$i, X911:$i, X912:$i, X913:$i, X914:$i, X915:$i, X916:$i, X917:$i, X918:$i, X919:$i, X920:$i, X921:$i, X922:$i, X923:$i, X924:$i, X925:$i, X926:$i, X927:$i, X928:$i, X929:$i, X930:$i, X931:$i, X932:$i, X933:$i, X934:$i, X935:$i, X936:$i, X937:$i, X938:$i, X939:$i, X940:$i, X941:$i, X942:$i, X943:$i, X944:$i, X945:$i, X946:$i, X947:$i > $o, X948:$i, X949:$i > $o, X950:$i, X951:$i, X952:$i, X953:$i, X954:$i, X955:$i, X956:$i, X957:$i, X958:$i, X959:$i, X960:$i, X961:$o, X962:$i, X963:$i, X964:$i, X965:$i, X966:$i, X967:$i, X968:$i, X969:$i, X970:$i, X971:$i, X972:$i, X973:$i, X974:$i, X975:$i, X976:$i, X977:$i, X978:$i, X979:$i]:((((~(in @ (esk1_2 @ X666 @ X667) @ X666)|~(in @ (esk1_2 @ X666 @ X667) @ X667)|((X666)=(X667)))&((in @ (esk1_2 @ X666 @ X667) @ X666)|(in @ (esk1_2 @ X666 @ X667) @ X667)|((X666)=(X667))))&(~(in @ X669 @ emptyset)&(((~(in @ X672 @ (setadjoin @ X670 @ X671))|(((X672)=(X670))|(in @ X672 @ X671)))&((((X672)!=(X670))|(in @ X672 @ (setadjoin @ X670 @ X671)))&(~(in @ X672 @ X671)|(in @ X672 @ (setadjoin @ X670 @ X671)))))&(((~(in @ X674 @ (powerset @ X673))|(~(in @ X675 @ X674)|(in @ X675 @ X673)))&(((in @ (esk2_2 @ X676 @ X677) @ X677)|(in @ X677 @ (powerset @ X676)))&(~(in @ (esk2_2 @ X676 @ X677) @ X676)|(in @ X677 @ (powerset @ X676)))))&(((((in @ X680 @ (esk3_2 @ X679 @ X680))|~(in @ X680 @ (setunion @ X679)))&((in @ (esk3_2 @ X679 @ X680) @ X679)|~(in @ X680 @ (setunion @ X679))))&(~(in @ X683 @ X684)|~(in @ X684 @ X682)|(in @ X683 @ (setunion @ X682))))&((in @ emptyset @ omega)&((~(in @ X685 @ omega)|(in @ (setadjoin @ X685 @ X685) @ omega))&(((((in @ (esk4_1 @ X686) @ omega)|~(in @ emptyset @ X686)|(~(in @ X688 @ omega)|(in @ X688 @ X686)))&((in @ (esk4_1 @ X686) @ X686)|~(in @ emptyset @ X686)|(~(in @ X688 @ omega)|(in @ X688 @ X686))))&(~(in @ (setadjoin @ (esk4_1 @ X686) @ (esk4_1 @ X686)) @ X686)|~(in @ emptyset @ X686)|(~(in @ X688 @ omega)|(in @ X688 @ X686))))&((((((in @ (esk8_3 @ X689 @ X690 @ X695) @ X690)|~(in @ X695 @ (esk7_2 @ X689 @ X690))|(in @ (esk5_2 @ X689 @ X690) @ X690))&((X689 @ (esk8_3 @ X689 @ X690 @ X695) @ X695)|~(in @ X695 @ (esk7_2 @ X689 @ X690))|(in @ (esk5_2 @ X689 @ X690) @ X690)))&(~(in @ X698 @ X690)|~(X689 @ X698 @ X697)|(in @ X697 @ (esk7_2 @ X689 @ X690))|(in @ (esk5_2 @ X689 @ X690) @ X690)))&(((((in @ (esk8_3 @ X689 @ X690 @ X695) @ X690)|~(in @ X695 @ (esk7_2 @ X689 @ X690))|((X689 @ (esk5_2 @ X689 @ X690) @ (esk6_3 @ X689 @ X690 @ X692))|~(X689 @ (esk5_2 @ X689 @ X690) @ X692)))&((X689 @ (esk8_3 @ X689 @ X690 @ X695) @ X695)|~(in @ X695 @ (esk7_2 @ X689 @ X690))|((X689 @ (esk5_2 @ X689 @ X690) @ (esk6_3 @ X689 @ X690 @ X692))|~(X689 @ (esk5_2 @ X689 @ X690) @ X692))))&(~(in @ X698 @ X690)|~(X689 @ X698 @ X697)|(in @ X697 @ (esk7_2 @ X689 @ X690))|((X689 @ (esk5_2 @ X689 @ X690) @ (esk6_3 @ X689 @ X690 @ X692))|~(X689 @ (esk5_2 @ X689 @ X690) @ X692))))&((((in @ (esk8_3 @ X689 @ X690 @ X695) @ X690)|~(in @ X695 @ (esk7_2 @ X689 @ X690))|(((X692)!=(esk6_3 @ X689 @ X690 @ X692))|~(X689 @ (esk5_2 @ X689 @ X690) @ X692)))&((X689 @ (esk8_3 @ X689 @ X690 @ X695) @ X695)|~(in @ X695 @ (esk7_2 @ X689 @ X690))|(((X692)!=(esk6_3 @ X689 @ X690 @ X692))|~(X689 @ (esk5_2 @ X689 @ X690) @ X692))))&(~(in @ X698 @ X690)|~(X689 @ X698 @ X697)|(in @ X697 @ (esk7_2 @ X689 @ X690))|(((X692)!=(esk6_3 @ X689 @ X690 @ X692))|~(X689 @ (esk5_2 @ X689 @ X690) @ X692))))))&((((in @ (esk9_1 @ X699) @ X699)|~(in @ X700 @ X699))&(~(in @ X702 @ (esk9_1 @ X699))|~(in @ X702 @ X699)|~(in @ X700 @ X699)))&((epred1_0)&((((X703 @ (esk10_2 @ X703 @ X704))|~(X703 @ X704)|(X703 @ (descr @ X703)))&(((X704)!=(esk10_2 @ X703 @ X704))|~(X703 @ X704)|(X703 @ (descr @ X703))))&((~(in @ X708 @ X706)|(~(X707 @ X708)|(in @ X708 @ (dsetconstr @ X706 @ X707))))&((~(in @ X711 @ (dsetconstr @ X709 @ X710))|(in @ X711 @ X709))&((~(in @ X714 @ (dsetconstr @ X712 @ X713))|(X713 @ X714))&(((((X715 @ (esk12_1 @ X715))|((X715 @ (esk11_2 @ X715 @ X716))|~(X715 @ X716)))&(~(X715 @ X719)|((esk12_1 @ X715)=(X719))|((X715 @ (esk11_2 @ X715 @ X716))|~(X715 @ X716))))&(((X715 @ (esk12_1 @ X715))|(((X716)!=(esk11_2 @ X715 @ X716))|~(X715 @ X716)))&(~(X715 @ X719)|((esk12_1 @ X715)=(X719))|(((X716)!=(esk11_2 @ X715 @ X716))|~(X715 @ X716)))))&((~(in @ X721 @ (prop2set @ ((X720))))|(X720))&((~(in @ X722 @ emptyset)|(X723))&((~(in @ X724 @ emptyset)|~($true))&(~(in @ X725 @ emptyset)&((((X726 @ (esk13_2 @ X726 @ X727))|~(X726 @ X727)|(X726 @ (esk14_1 @ X726)))&(((X727)!=(esk13_2 @ X726 @ X727))|~(X726 @ X727)|(X726 @ (esk14_1 @ X726))))&(((((in @ (esk16_2 @ X730 @ X731) @ X731)|((X730)=(X731))|(in @ (esk15_2 @ X730 @ X731) @ X730))&(~(in @ (esk16_2 @ X730 @ X731) @ X730)|((X730)=(X731))|(in @ (esk15_2 @ X730 @ X731) @ X730)))&(((in @ (esk16_2 @ X730 @ X731) @ X731)|((X730)=(X731))|~(in @ (esk15_2 @ X730 @ X731) @ X731))&(~(in @ (esk16_2 @ X730 @ X731) @ X730)|((X730)=(X731))|~(in @ (esk15_2 @ X730 @ X731) @ X731))))&(((in @ (esk17_1 @ X734) @ X734)|((X734)=(emptyset)))&(((in @ (esk18_1 @ X736) @ X736)|((X736)=(emptyset)))&(((~(in @ X740 @ (dsetconstr @ X738 @ X739))|(X739 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X930 @ (setadjoin @ X929 @ X930))&((~(subset @ X931 @ X933)|(subset @ X931 @ (setadjoin @ X932 @ X933)))&((~(subset @ X934 @ X935)|(in @ X934 @ (powerset @ X935)))&((~(subset @ X936 @ X937)|(~(subset @ X937 @ X936)|((X936)=(X937))))&((~(subset @ X938 @ emptyset)|((X938)=(emptyset)))&((~(subset @ X940 @ X939)|(in @ X940 @ (powerset @ X939)))&((~(in @ X942 @ (powerset @ X941))|(subset @ X942 @ X941))&((in @ X943 @ (powerset @ X943))&((~(subset @ X944 @ X945)|(subset @ (powerset @ X944) @ (powerset @ X945)))&((in @ (dsetconstr @ X946 @ X947) @ (powerset @ X946))&((subset @ (dsetconstr @ X948 @ X949) @ X948)&((~(in @ X952 @ X950)|(in @ X952 @ (binunion @ X950 @ X951)))&((in @ X954 @ (setadjoin @ X953 @ (setadjoin @ X954 @ emptyset)))&((~(in @ X957 @ X956)|(in @ X957 @ (binunion @ X955 @ X956)))&(((((in @ X960 @ X959)|(X961)|(in @ X960 @ X958)|~(in @ X960 @ (binunion @ X958 @ X959)))&(~(X961)|(X961)|(in @ X960 @ X958)|~(in @ X960 @ (binunion @ X958 @ X959))))&(((in @ X960 @ X959)|(X961)|~(X961)|~(in @ X960 @ (binunion @ X958 @ X959)))&(~(X961)|(X961)|~(X961)|~(in @ X960 @ (binunion @ X958 @ X959)))))&((~(in @ X964 @ (binunion @ X962 @ X963))|((in @ X964 @ X962)|(in @ X964 @ X963)))&((subset @ X965 @ (binunion @ X965 @ X966))&((subset @ X968 @ (binunion @ X967 @ X968))&((~(in @ X971 @ X969)|(~(in @ X971 @ X970)|(in @ X971 @ (binintersect @ X969 @ X970))))&((~(subset @ X974 @ X972)|(~(subset @ X974 @ X973)|(subset @ X974 @ (binintersect @ X972 @ X973))))&((~(in @ X977 @ (binintersect @ X975 @ X976))|(in @ X977 @ X975))&((subset @ (binintersect @ X978 @ X979) @ X978)&((subset @ esk54_0 @ esk55_0)&((binintersect @ esk54_0 @ esk55_0)!=(esk54_0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_154])])])])])])])).
% 1.14/0.41 thf(c_0_156, negated_conjecture, ![X3:$i, X2:$i]:((((X2)=(X3))|~((subset @ X2 @ X3))|~((subset @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_155])).
% 1.14/0.41 thf(c_0_157, negated_conjecture, ![X3:$i, X2:$i]:((subset @ (binintersect @ X2 @ X3) @ X2)), inference(split_conjunct,[status(thm)],[c_0_155])).
% 1.14/0.41 thf(c_0_158, negated_conjecture, ![X2:$i, X3:$i]:((((binintersect @ X2 @ X3)=(X2))|~((subset @ X2 @ (binintersect @ X2 @ X3))))), inference(spm,[status(thm)],[c_0_156, c_0_157])).
% 1.14/0.41 thf(c_0_159, negated_conjecture, ![X2:$i, X3:$i, X4:$i]:(((subset @ X2 @ (binintersect @ X3 @ X4))|~((subset @ X2 @ X3))|~((subset @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_155])).
% 1.14/0.41 thf(c_0_160, negated_conjecture, ![X2:$i]:((subset @ X2 @ X2)), inference(split_conjunct,[status(thm)],[c_0_155])).
% 1.14/0.41 thf(c_0_161, negated_conjecture, ((binintersect @ esk54_0 @ esk55_0)!=(esk54_0)), inference(split_conjunct,[status(thm)],[c_0_155])).
% 1.14/0.41 thf(c_0_162, negated_conjecture, ![X2:$i, X3:$i]:((((binintersect @ X2 @ X3)=(X2))|~((subset @ X2 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158, c_0_159]), c_0_160])])).
% 1.14/0.41 thf(c_0_163, negated_conjecture, (subset @ esk54_0 @ esk55_0), inference(split_conjunct,[status(thm)],[c_0_155])).
% 1.14/0.41 thf(c_0_164, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_162]), c_0_163])]), ['proof']).
% 1.14/0.41 % SZS output end CNFRefutation
% 1.14/0.41 % Parsed axioms : 239
% 1.14/0.41 % Removed by relevancy pruning/SinE : 0
% 1.14/0.41 % Initial clauses : 355
% 1.14/0.41 % Removed in clause preprocessing : 144
% 1.14/0.41 % Initial clauses in saturation : 211
% 1.14/0.41 % Processed clauses : 802
% 1.14/0.41 % ...of these trivial : 8
% 1.14/0.41 % ...subsumed : 377
% 1.14/0.41 % ...remaining for further processing : 417
% 1.14/0.41 % Other redundant clauses eliminated : 9
% 1.14/0.41 % Clauses deleted for lack of memory : 0
% 1.14/0.41 % Backward-subsumed : 0
% 1.14/0.41 % Backward-rewritten : 4
% 1.14/0.41 % Generated clauses : 8514
% 1.14/0.41 % ...of the previous two non-redundant : 7806
% 1.14/0.41 % ...aggressively subsumed : 0
% 1.14/0.41 % Contextual simplify-reflections : 0
% 1.14/0.41 % Paramodulations : 8503
% 1.14/0.41 % Factorizations : 2
% 1.14/0.41 % NegExts : 0
% 1.14/0.41 % Equation resolutions : 9
% 1.14/0.41 % Disequality decompositions : 0
% 1.14/0.41 % Total rewrite steps : 894
% 1.14/0.41 % ...of those cached : 744
% 1.14/0.41 % Propositional unsat checks : 0
% 1.14/0.41 % Propositional check models : 0
% 1.14/0.41 % Propositional check unsatisfiable : 0
% 1.14/0.41 % Propositional clauses : 0
% 1.14/0.41 % Propositional clauses after purity: 0
% 1.14/0.41 % Propositional unsat core size : 0
% 1.14/0.41 % Propositional preprocessing time : 0.000
% 1.14/0.41 % Propositional encoding time : 0.000
% 1.14/0.41 % Propositional solver time : 0.000
% 1.14/0.41 % Success case prop preproc time : 0.000
% 1.14/0.41 % Success case prop encoding time : 0.000
% 1.14/0.41 % Success case prop solver time : 0.000
% 1.14/0.41 % Current number of processed clauses : 405
% 1.14/0.41 % Positive orientable unit clauses : 108
% 1.14/0.41 % Positive unorientable unit clauses: 0
% 1.14/0.41 % Negative unit clauses : 3
% 1.14/0.41 % Non-unit-clauses : 294
% 1.14/0.41 % Current number of unprocessed clauses: 7202
% 1.14/0.41 % ...number of literals in the above : 21972
% 1.14/0.41 % Current number of archived formulas : 0
% 1.14/0.41 % Current number of archived clauses : 4
% 1.14/0.41 % Clause-clause subsumption calls (NU) : 7907
% 1.14/0.41 % Rec. Clause-clause subsumption calls : 6328
% 1.14/0.41 % Non-unit clause-clause subsumptions : 341
% 1.14/0.41 % Unit Clause-clause subsumption calls : 110
% 1.14/0.41 % Rewrite failures with RHS unbound : 0
% 1.14/0.41 % BW rewrite match attempts : 289
% 1.14/0.41 % BW rewrite match successes : 3
% 1.14/0.41 % Condensation attempts : 0
% 1.14/0.41 % Condensation successes : 0
% 1.14/0.41 % Termbank termtop insertions : 164367
% 1.14/0.41 % Search garbage collected termcells : 11369
% 1.14/0.41
% 1.14/0.41 % -------------------------------------------------
% 1.14/0.41 % User time : 0.096 s
% 1.14/0.41 % System time : 0.013 s
% 1.14/0.41 % Total time : 0.109 s
% 1.14/0.41 % Maximum resident set size: 6424 pages
% 1.14/0.41
% 1.14/0.41 % -------------------------------------------------
% 1.14/0.41 % User time : 0.102 s
% 1.14/0.41 % System time : 0.018 s
% 1.14/0.41 % Total time : 0.120 s
% 1.14/0.41 % Maximum resident set size: 5120 pages
% 1.14/0.41 % E exiting
%------------------------------------------------------------------------------